{"text":"Question: Which is the fifth biggest value?  (a) 8\/3  (b) 3  (c) -0.1  (d) -25.6  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**3\/7 + 2*h**2\/7 + 19*h\/7 - 20\/7.\nAnswer: -(h - 5)*(h - 1)*(h + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/13)\/(45\/(-390)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 120 + 47*d - 11*d - 59 + 21*d**2 + 2*d - 55 + d**3. Give i(-19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 - -33312112?\nAnswer: 33312111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20042651.\nAnswer: 3461, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that 2*j**3\/7 + 2720*j**2 + 5204872*j - 72944384\/7 = 0.\nAnswer: -6866, -2656, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1873*d**2 + 1103*d**2 - 501*d**2 - 2297*d**2.\nAnswer: -3568*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 272644850 to the nearest 1000000.\nAnswer: 273000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 537 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.44 + -0.04. Let n be -1 + 1 + 2 - 5. Let h be 4\/18 + (-2576)\/2520. Sort h, n, c in decreasing order.\nAnswer: c, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, -1, 310, -3, 0 in descending order.\nAnswer: 310, 0, -1, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1901 (base 11) to base 10.\nAnswer: 2421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 30181804 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**2 - 11*o - 22. Let c be v(13). Suppose 4 = -c*m, 6763 = -0*i + 2*i - 3*m. Suppose 0 = -4*q + 4*d + i, 628 = 3*q + 5*d - 1875. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**3 + 4*t**2 - 3*t - 3. Let z be x(-2). Let i = -272 + 277. Solve -i*v + z = 36 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the third derivative of 0*g - 1\/6*g**4 + 86*g**2 + 0 - 2\/3*g**3. Determine x(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -295 + 552. Let w be 2\/3*(-4649)\/12. Let b = i + w. Calculate the common denominator of b and 40\/33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -58 + 307. Let q = z + -237. Let j(c) = -c**3 - 2*c**2 + 2*c - 1. Let s be j(-3). Solve -s + q = 5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 221 plus -1228233.6?\nAnswer: -1228012.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6\/8)\/((-3)\/(-12)). Suppose 2*x - b*x = 3*z - 10, -3*x = -12. Let t(k) = -2*k**z - 7*k + 7*k. Let n(h) = -h**2. Calculate t(n(l)).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 - -2. Suppose -5*n = -6*n + 10. Suppose -4*b + 2 = -n. Calculate the least common multiple of b and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 965 divide 98735905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/98)\/((-19)\/(-133))*(-12)\/16?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 19.631, 148, -61, -2\/13?\nAnswer: 19.631","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**3 - 7*p**2 - 9*p + 92. Let c = 328 - 322. What is the units digit of g(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 8931, 5, 2788 in increasing order.\nAnswer: 5, 2788, 8931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -10853 smaller than -10856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 17.06 + -0.06. Let m = s - 20. Let x = -2.112 - -0.112. Which is the closest to -1\/2?  (a) 2\/25  (b) x  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kat when three letters picked without replacement from {k: 1, a: 1, t: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14 - -8. Let d = -1 + 3. What is the closest to -1 in -5, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 2  (b) -13  (c) -2  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and 0.11865.\nAnswer: -0.4746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 3*f + 2. Let t be d(1). Put 1, t, -1\/3, 2 in increasing order.\nAnswer: -1\/3, 1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*r - 53 - 899 = 0. Let g be (2\/3 + -2)*-18. Let b = r - g. Solve -7 + b = -w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 2 d when three letters picked without replacement from {n: 1, d: 8, u: 1, z: 1, f: 9}.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(637) + -1 + sqrt(637))*6 + -4.\nAnswer: -10 + 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -216, -5, 17 in ascending order.\nAnswer: -216, -5, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 810 and 14660?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*w - 10*w - 4*w + 6*w as l*w + i and give l.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -40 + 46.4. Let m = 6 - v. Let s = -28478 + 28473. Put s, m, -14\/3 in ascending order.\nAnswer: s, -14\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 + 3045a576?\nAnswer: 3045a573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**3 - 13*k**2 - 4*k + 42. Give t(13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**5*r**(2\/11))\/(r*r**(3\/7))**31)**3 assuming r is positive.\nAnswer: r**(-11112\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence agaa when four letters picked without replacement from ggga.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-35))\/((34\/85)\/(-2))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + y + 7 = 7*t, -t - y = -1. Suppose -2*c - 10 = 5*p, t*p - 5*c + 1 = -3. Is 154*p\/(-12)*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 20, 67, 146, 257, 400?\n\"Answer: 16*i**2 - i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes after 7:45 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 49, 193, 439, 793, 1261, 1849, 2563?\nAnswer: 3409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixth of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -m + 2*x, 338*x - 334*x + 32 = 0. Let s(a) be the third derivative of 5*a**4\/24 + a**3\/2 - a**2. What is s(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*t - 12 = 7*t. What are the prime factors of ((-2)\/(-8))\/(t\/208)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -4*u**2\/9 + 215324*u\/3 - 645968\/9 = 0.\nAnswer: 1, 161492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 4*l**3 + 4*l**2 - 3*l - 5. Suppose 21*g = 16*g - 10. Let b be k(g). Let f be (-70)\/(-22) + b + 12. What is the smallest value in -0.08, 2, f?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -7033  (b) 0  (c) -8\/25  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 95\/90*4 + 8\/(-36). Solve 0 = 2*q - m*w + 10, -q - 20 = 3*q + 2*w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-88)\/6)\/(382\/191))\/(24\/108).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v - 46 = -d + 2*v + 77, -4*d + 63*v + 1452 = 3*v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 equal to -1\/336201657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 11*f**3 - 39*f + 38*f - 6*f**3 to t*f**3 + p*f + m*f**2 + j and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11260476, -22520957, -33781438?\nAnswer: -45041919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -445*n**4 - 6*n**3 - 19311*n**2?\nAnswer: -10680*n - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o**3\/2 - 16191*o**2\/2 = 0 for o.\nAnswer: 0, 5397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -29*n + 28*n. What is the remainder when 107 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5729.95 + -5605. What is v rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 81, -2\/3, -1217, 1\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 613507.\nAnswer: 613507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**2 + 5*r + 1. Let l be g(4). Suppose -7*p + 41 = -3*p - l*u, -2*p - 7 = 3*u. Is (0 + -3 - p)*-11 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 317961*o**2 + 4339 - 4339.\nAnswer: 317961*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/30)\/((-144)\/288) + 11\/120.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (55\/(-55))\/((2\/6)\/(-1)). Suppose 0 = -z - 0*z - 5*g + 6, -18 = -q*z - 5*g. Calculate the remainder when 107 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 254952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 598*o**3*s**2 + o**3*s + 3*o*s - 44*s wrt s?\nAnswer: 1196*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/((-1)\/(-6)*-1). Let s be (9\/q)\/(15\/(-8)). Sort 4, 1, s in descending order.\nAnswer: 4, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -6 and -29?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19992, -79973, -179942, -319899, -499844?\nAnswer: -719777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 11 - 3 + 4 - 2 + 0 + (-3 + 1 + 4)*(0 + 2 + 0) - 1 + 2 - 2 + 1 - 1 + 1)*(-4 + 4 - 2*u)*(2*u**3 + u**3 + u**3).\nAnswer: -120*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 300 and 250.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/131 smaller than -0.87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j - 1 + 3. Let h be (-1 + 0)\/(0 + j). Let y be (-33)\/9 + h\/3. Let q(w) = w + 8. Give q(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (201*u**2 + 66*u**2 + 60*u**2)*(2 - 1 + 2).\nAnswer: 981*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*g**4 - 50*g**3 + 5*g**2 + 50*g.\nAnswer: -5*g*(g - 1)*(g + 1)*(g + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27, -47, -113, -249, -479, -827?\nAnswer: -1317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -19*s**3 - 8*s**2 - 5*s - 1. Determine n(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8787.43 - -8787.5. Let s be 0\/2 + 2\/(-1). Let i be 1 - (2 - 2\/6). Which is the closest to s?  (a) i  (b) -3  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - s + 36 = 0. Let d = -125 + 89. What is the units digit of (-332)\/d - 2\/s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 80 = -u. Suppose u*k - 14*k + 8 = 0. Let l be (-10)\/(-3) + (-5)\/(11 - k). Let x(c) = 2*c - 3. Give x(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0\/(-1 + (3 + -3 - -3)). Solve g = -0*f + 3*f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - 37 = -4*g + 91, j = g + 13 - 42 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1875260 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = 4*c - 3*l + 8*l, -5*l - 4 = -4*c. Calculate the common denominator of 0 + c\/10 - (-181)\/(-10) and 99\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 391 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -2*p - 36. Let k(z) = -z - 1. Let l(t) = 4*k(t) - s(t). What are the prime factors of l(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the third derivative of -s**5\/60 + s**4\/8 - s**3\/3 - 3*s**2. Factor y(b).\nAnswer: -(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1307871690 rounded to the nearest one million?\nAnswer: -1308000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.069462 rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*w**2 - 56*w**2 - 13*w**2 - 42*w**2 + 201*w**2.\nAnswer: 87*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 37 = 568. Let v = 372 - t. Suppose -2*c - 2*x + 324 = -3*x, 0 = -3*c + 5*x + v. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 570371 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*o - 6*o. Suppose -19*l + 20*l - 48 = o. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/((-8)\/(-6)))\/((-627)\/8360*2\/4)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Put 0, 1, 2, 0.4, -3 in descending order.\nAnswer: 2, 1, 0.4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 9*u - 34. Determine j(8).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3473683 = 134*f - 801148 + 933541. What are the prime factors of f?\nAnswer: 5, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-29438)\/3444 - 34\/(-4) - 715\/(-21)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-2))\/((-43)\/(-215))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*j**3 + 0*j**3 + 10*j**3)*(6*j + 0*j + 0*j) + 2*j**4 - 3*j**4 - j**4 to the form r*j**4 + k*j**3 + m*j**2 + i + h*j and give r.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**3 - 11*g**2 + 7*g + 25. Let w be t(-12). Suppose 22*x = w + 3. What is the closest to 0.2 in x, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q**3 - 1019375*q**2 - 8154760*q - 16309360 = 0 for q.\nAnswer: -203867, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*i - 422 - 6*i + 422.\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33 + 400*w + 27 - 90 + 30.\nAnswer: 400*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1762\/28145 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 + 22 + 45)*(-6*p - 4*p + 2*p).\nAnswer: -456*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the second derivative of -1\/12*r**4 + 3\/56*r**8 - 4*r + 0*r**2 + 0*r**5 + 0 + 0*r**7 + 0*r**6 + 0*r**3. Find the third derivative of b(m) wrt m.\nAnswer: 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes after 3:08 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o - 0*o + 90. Let u be (-17)\/(68\/(-3))*32. What is the greatest common divisor of u and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -2*d**3 + 2*d**2 - 2*d + 117. Determine k(0).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -574550 = 10*b + 63280. Let m = b - -7883. What is m rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence twrt when four letters picked without replacement from ttrwwttf?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*m - 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 30 = t - 4*o, o + 15 = 2*t. Suppose t*w + 20 = d, 0 = 3*d - 5*w + 11 - 31. Suppose -2*v + 0*v + 116 = d. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**3 + 9*a**2 + 12*a - 7. Let m = 35 + -42. Let k be u(m). Suppose 3*y + 234 = k*y - 2*f, -2*y - 5*f + 135 = 0. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1300) - sqrt(1300)*1) + 5 + sqrt(1300) + (sqrt(1300) + -1)*2)**2*5.\nAnswer: 900*sqrt(13) + 58545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - -7. Suppose 16*c - 2 = 15*c. Let a be (c - d\/(-1)) + 0. Which is bigger: a or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*t + 12 = -24*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z*(z\/(z\/z**(-3\/2)))\/z)\/((z**(-30\/7)\/z)\/z)*z**39*(((z*z*((z\/z**(-2\/21)*z)\/z)\/z*z*z)\/z)\/z)\/z*z assuming z is positive.\nAnswer: z**(1969\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -369 + 368.6. Which is the nearest to -2?  (a) x  (b) -3  (c) -5\/3  (d) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*(-6)\/((-180)\/93)*(-210)\/(-42).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 1182\/7, 0.3, -5 in decreasing order.\nAnswer: 1182\/7, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4690?\nAnswer: 2, 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -230*p**2 - 944436814*p - 16424988.\nAnswer: -2*(p + 4106247)*(115*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-q + 0*q + 0*q)*(30 + 61*q**3 - 30) + (4*q**2 - 2*q**2 - q**2)*(0*q**2 - 2*q**2 + 4*q**2) to the form o*q + d*q**3 + x*q**4 + b*q**2 + u and give x.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**3 - 19*p**2 - 16*p - 10. Let b be j(22). Let w be b\/5 + (-6 - -2). Let r be 36\/270 + w\/(-30). Sort -3, r, -2\/9 in ascending order.\nAnswer: r, -3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**2 - 5*c - 6. Let g be y(6). Suppose g = -m + 1, -3*i - i = 2*m - 90. Suppose 4*f - 112 = -4*h, -f = -4*h + i - 75. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zxxaf. What is prob of sequence fa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -2*n**2 - n + 1. Let q be a(1). Let u(h) = -h**3 - h**2 + 2*h. Let c be u(q). Suppose 10*k - 5*k = c. Solve k = b - 2, 4*m - b + 7 = -3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -178 - -145.9. Let b = j - -29.1. What is the nearest to -2 in -2\/7, b, -30?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1427420.4 months to decades.\nAnswer: 11895.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 85176419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -428 + 477. What is the remainder when x is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 73660.\nAnswer: 2, 5, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 63 - 65. Let w be 6\/2 + -53 - g. Let d be (3\/(-6))\/((-50)\/w - 1). Sort -2, -3, d in ascending order.\nAnswer: d, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 151.32 - 294.11. What is n rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -4*g. Suppose 0 = 4*u + x - 56, g = 4*u - 3*x + 2*x - 56. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -19, 60, 213, 470, 861, 1416, 2165, 3138?\n\"Answer: 5*h**3 + 7*h**2 + 23*h - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 3*h**2 + h. Let y = -207 + 402. Suppose -5*s - 115 = -y. What is the remainder when s is divided by b(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6.95 - -7. Let b = -78 + 77.7. Which is smaller: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g**2 + 6*g**2 - 4*g**2)*(1 + 0 - 2) + (3*g**2 + 3*g**2 - 5*g**2)*(12 + 3 + 1).\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 282\/4621?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b + 3*b - 2. Let k be (110\/66)\/(13\/((-780)\/112)). Is k at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(99) - sqrt(99)*3)*-6)**2.\nAnswer: -42768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 26*b**4 + 12*b**2 - 12*b**2 + (-b**3 - 3*b**3 + 7*b**3)*(12 - 12 + 6*b).\nAnswer: 44*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -143 - -143.0000082. What is p rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.3 + 0.4. Let y = -0.52 - 49.48. Let f = -45 - y. Which is the second smallest value?  (a) 1  (b) f  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -11, 5, 29 in decreasing order.\nAnswer: 29, 5, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-29415)\/74)\/(-53)*(0\/(-5) + (3 - -3)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k**3 + 1137282*k**2 + 323350312305*k - 1293419445796 = 0. Calculate k.\nAnswer: -568643, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 19731a5 - 130?\nAnswer: 1973075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**0)**24)**(-21))**2 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -242 - -245. What is the third derivative of -49*n**r - 2*n**5 + 633*n**2 - 358*n**2 - 397*n**2 wrt n?\nAnswer: -120*n**2 - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**2 + 16*x - 5. Suppose -l + 60 = -3*b + 2*l, -3*b - 42 = 3*l. Does 3 divide c(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 take away 0.015?\nAnswer: -9.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 4*i**3 + 1. Let a be c(1). Suppose -9 = -3*y - 2*k, a = y - 3*y - 5*k. Suppose 2*w - y*w = -15. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 3*t**2 - 28*t + 5. Give p(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10057 - -10059. Solve -2*q + 2 = -j*g, -g + 14 - 3 = 5*q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from snsbbnsnnsbnbndsb. Give prob of sequence nn.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u. Suppose 0 = -g - 7 + 9. What is l(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 2 - 1)*(-1 + 3 + 20)*(2 - 3 - 1)*(0*q**2 - q**4 + 0*q**2).\nAnswer: 88*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12773, 51116, 115035, 204536, 319625?\nAnswer: 460308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g = -2, 2*n + 172*g = 175*g + 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*a**2 + 5*a**4 - a**3 + 5*a**2 - 5*a + 0*a**2 + 5 + 2*a**2 to y*a**2 + l*a + k + c*a**4 + r*a**3 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -64 + 123. Let v = g + -11. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 174522 = 174512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 56 + -54. Find the second derivative of -16*d - 13*d**2 - d - u*d + 4*d wrt d.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 668 by 2.\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**2 - 4*x + 3. Let m be y(5). Let v be (-2)\/8 - m\/(-160). What is the biggest value in -3, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that 5\/7*d**3 - 44\/7 - 4\/7*d - 1\/7*d**5 - 11\/7*d**4 + 55\/7*d**2 = 0.\nAnswer: -11, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 218662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11.2, -4, 10 in ascending order.\nAnswer: -11.2, -4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x = -5*x + 4*v + 8, 0 = 4*x + 5*v - 12. Calculate the greatest common factor of 88 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 5*h = 79173, 15*k + 79185 = 11*k + h. Is (k\/18)\/(1\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the third derivative of w**4\/6 + 32*w**3\/3 + 2*w**2 - 167*w. Calculate z(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1597284 by -4.\nAnswer: 399321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3713*y - 5 - 1850*y + 5 - 1833*y.\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 117 - 292. Let i = 406 + w. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(57)\/sqrt(3) + -2 + sqrt(38)\/sqrt(2) + 2.\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 525*d = 450*d + 75 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2*(0 + (-2)\/(-2)). Suppose -5*t = -5*v + 70, -p*v + 3*t + 11 = -16. What is the remainder when 43 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ld when two letters picked without replacement from {l: 1, d: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 54 + -69. Let d = -10 - v. Suppose -d*k = 4*c - 84, 3*k - 25 - 15 = -5*c. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xggggxgx. What is prob of picking 4 g?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.8754 rounded to one decimal place?\nAnswer: 11.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56 - -4.7.\nAnswer: 60.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the third derivative of -z**9\/60480 + z**7\/1680 + z**6\/360 + z**5\/12 + 8*z**2. Let y(p) be the third derivative of k(p). Factor y(f).\nAnswer: -(f - 2)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -32 - -51. Let x = i - -5.5. Let d = x - 23. What is d rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + s = -4. What is the third derivative of -6*r**2 + 23*r**6 + s*r**2 - 44*r**6 wrt r?\nAnswer: -2520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**2 + 4 - 3*j - 2*j + 2. Let a be n(5). Suppose -a*o + 75 = -o. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 x when two letters picked without replacement from {u: 2, w: 2, x: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 2*r = 0, 0*r + 2*r = -d. Let p(o) = o**3 - 7*o**2 + 3*o + 22. Let n be p(6). Solve -2*v = -d*v + 3*u + n, 3*v + 19 = 2*u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 293737459.\nAnswer: 59, 487, 10223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -762*c - 196*c = 367*c + 977*c - 9208 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1429852928?\nAnswer: 2, 7, 31, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -64 + (8 - (-6 - -12)) + (3 - 24 - -20).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31699316.\nAnswer: 2, 11, 720439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 399, 702, 861, 804, 459, -246, -1383, -3024?\nAnswer: -5241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2892380837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (2 - 8 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 286 a factor of 149058052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 4 = -4*t, 20*t - 3 = 17*t - 5*m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -12*f**2. Suppose k + 4*l - 14 = 0, 5*k - l - 1 = 6. Let a(m) = 3*m**2 + 18*m**2 - 7*m**k - 9*m**2. What is w(a(d))?\nAnswer: -300*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 + 0. Let q be -1*o\/2 - -10. Round q to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.866468 + -6.866432. Let s = 5 + n. Round s to six dps.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 2*x + 1)*(2*x - 2*x - x**3) + (-2*x + 0*x - 7*x)*(0*x + 15*x - 7*x + 2*x**3 - x**2) as c*x**3 + n*x + o + y*x**2 + g*x**4 and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 1954?\nAnswer: 1\/1954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (5*6\/15)\/(-3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 267.7511 centuries to years.\nAnswer: 26775.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m**4 + 5*m**4 - 2*m**4)*(-4 + 5 - 7) - 2*m - 2*m**2 + 8*m**3 + 5*m**4 - 8*m**3.\nAnswer: -7*m**4 - 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 148568 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 30240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of -7 and 64876540420.\nAnswer: 64876540413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the third derivative of -z**6\/120 + 13*z**5\/60 + z**4\/24 - 17*z**3\/6 - 11*z**2. Let q be b(13). Is 4 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 5*t - 5. Suppose -3*c - 12 = -0*c + 4*f, -4*f = -3*c - 12. Let u = c - -8. Is 11 a factor of p(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*d - 103*d + 401*d.\nAnswer: 312*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 5504261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Do 16043 and 18492 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*u - 44421 + 45065 = 0 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1194 in 2\/5, -586, 4\/5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 133\/4698 and -19\/261.\nAnswer: 4698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the second derivative of o**6\/60 - o**5\/15 - o**4\/12 + 2*o**3\/3 - 3*o**2\/2 - 3*o. Let j(c) be the first derivative of v(c). Factor j(n).\nAnswer: 2*(n - 2)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + 9. Suppose 4*v + 4*x = 2*x + 8, 4*v = -4*x + 4. Let g(s) = 20*s + 1. Let p be g(1). Solve -p = -3*a - 3*h, w = v*a - 5*h - 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that v**2\/4 + 8037894*v + 64607739955236 = 0.\nAnswer: -16075788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + a - 7 = 2*t, 5*t + a = -21. Let p = 37 + -112\/3. Put -0.5, t, p in decreasing order.\nAnswer: p, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-1)*(-4)\/(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 2*i - 58 = 7, 14 = -l + 5*i. Let k = -14 - -47. What is the highest common factor of k and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 + 3 - (-4 - 9\/(-3)). Calculate the remainder when 95 is divided by (-32)\/q*(-35)\/14.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -76, -322, -732, -1306?\n\"Answer: -82*y**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -2175*c + 4234*c - 2035*c. Let n(w) = 5*w**2 + 2*w - 2. Let p(r) = 66*r**2 + 27*r - 27. Let y(k) = 27*n(k) - 2*p(k). What is g(y(z))?\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g = -b - 11, 5*g + 54*b - 49*b = -45 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 543 a factor of 140347581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 3*u - 4*p + 382 = 0, p = 2. Does 17 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 198 and 174339.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (40\/170)\/((-16)\/8)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -50 - -49.942. Let v = x + 0.05800027. Round v to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -147.5 + -11.5. Let s = 159.1 + n. Which is the third smallest value?  (a) -2  (b) -0.03  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5125*s = 5227*s + 1836 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -233381, -468672, -703963, -939254, -1174545, -1409836?\nAnswer: -1645127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11180*z + 80 = 11188*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(-9) + 439\/9. Suppose j = -2 + d. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w*w**(-4)*w*w**4\/w*w*(w\/w**(2\/5))**(2\/83)*((w**0*w)\/w*w)**(-46)*(w**(-2)*w)**(-6\/13) assuming w is positive.\nAnswer: w**(-234812\/5395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*p**3 + 12*p + 13*p - 45*p - 3 - 2*p**2 + 29*p in the form h*p**3 + m*p**2 + j + u*p and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(2\/23)\/c)\/(c\/c**(1\/10)))\/(c**(3\/11)*c*c*c\/(c\/(c*c*c*c**11*c)*c*c)))**(-29) assuming c is positive.\nAnswer: c**(1253583\/2530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000874894 rounded to 5 decimal places?\nAnswer: 0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 4*p = 7, p - 2785 = 3*x - 2802 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1321098254?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 24821 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b - 9 = 5*w, 0 = -3*b + 2*w + 3 - 13 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -19  (b) -1\/3  (c) 62  (d) -132  (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1415 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and 33647?\nAnswer: 3364.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -41*z + 42*z - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -241*f + 245*f + 2*p = -2, 0 = -3*p - 15. Put -460, -8, f in ascending order.\nAnswer: -460, -8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -4 - (3 + 3 + 0). Let h(c) = -c - c + 11 - 2*c. Is h(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the first derivative of q**2\/2 + 3*q + 5. Let x be k(6). Solve -5*t = -2*t - x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19511 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4\/(-8))\/((-1)\/(-8)). Let d(i) = i**3 + 3*i**2 - 3*i + 1. Give d(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/27 - ((-116)\/(-330))\/(42\/(-70))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 79.35786g?\nAnswer: 79357860000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/5, -64\/172967, -4, -3 in increasing order.\nAnswer: -4, -3, -64\/172967, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.2, 5, -11.1, 3\/73, -0.4?\nAnswer: -11.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 23, 0, 2 in descending order.\nAnswer: 23, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5, 93, 112256 in ascending order.\nAnswer: -5, 2, 93, 112256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (320\/(-1560))\/(8\/12).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5926 is divided by 91?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2656645487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-24)\/18 - 1\/(-3). Let d = -1 - k. Let v be (d + -1)\/(4\/(-12)). Solve 0 = -2*s + 7 - v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -9\/5, 0.2, -4, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*k = -70*k + 513 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 2*s**2 - 12*s + 11. Calculate the smallest common multiple of 40 and m(6).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 1 p, and 1 a when three letters picked without replacement from xxxbpipapabp.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9863 + 9864. Which is the nearest to -1?  (a) 0.2  (b) t  (c) -0.5  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 48, 152, 324, 564, 872?\nAnswer: 1248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62*u + 59*u - 118*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_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: b\"What is the rth term of 2380, 4253, 6044, 7753?\n\"Answer: -41*r**2 + 1996*r + 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -2, 3, -42 in decreasing order.\nAnswer: 11, 3, -2, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5570.\nAnswer: 2, 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -5*i + 8, -2*i + i + p + 4 = 0. Suppose 0 = -f - f + v + i, 3*v - 11 = -f. Suppose -f*b = b. Solve b = -q + 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**2. Let h(u) = -7244 + 7244 + 4*u. Determine h(y(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 156*r - 1527 = 20*r + 241 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 7  (c) 3  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -8 + 15 + -4 + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 79063 > 78800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20735 and 17914170.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (0 - 1) + (-4 + 19 - 10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((6800\/15)\/(-17))\/((-16)\/(-6)*383\/1532).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-43*a + 16*a - 54*a)*(a**3 - 2*a + 2*a) to c*a**3 + q*a**2 + u + d*a**4 + w*a and give d.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 89 = 4*x - 23, 5*x = -5*g - 150. Let m = -204 + g. Is (-1)\/(-6) - m\/18 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 140892?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l - 7. Let f be y(11). Let r be 38 - 2 - (-2)\/2*1. Let i = -36 + r. Which is the third smallest value?  (a) i  (b) 8  (c) 3\/7  (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(550)*2)\/sqrt(11) - (sqrt(50) + 4 + sqrt(50) + 0 + sqrt(50)))*-1.\nAnswer: 4 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 97 + 2*u - 97.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*c**3 - 3 + 0*c**3 + 9*c**4 - c**3 + 2*c + 6 as u*c**4 + l*c**2 + x*c + p + a*c**3 and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9760 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -350*l**4 + 3*l - 660*l**4 - 4*l**2 + 27*l**2 + 104*l**2 + 68*l**4 wrt l?\nAnswer: -22608*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.05 from -6080398.\nAnswer: -6080398.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 6, b: 8, p: 1, o: 3}. What is prob of sequence iipb?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39751 is divided by 13121.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1735.48 + -3858.25. Let y = -2040.7698 - f. Let n = -82 + y. What is n rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 577 is divided by 319.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/(3\/(6\/4)). Does 3 divide (n - -11) + -1 + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -27119899*w**3 + 31590515 wrt w.\nAnswer: -81359697*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -7*y**2 + 4*y - 7. Let o(i) = 13*i**2 - 7*i + 13. Let s(r) = -11*f(r) - 6*o(r). Let q be 1 - -2*(1 - 2). Let v be s(q). Which is greater: v or -1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 237088, 474286, 711486, 948688?\n\"Answer: b**2 + 237195*b - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.845 + 2.245. Put a, -0.7, -2, -0.13 in ascending order.\nAnswer: -2, -0.7, -0.13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pelkekz. What is prob of picking 2 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 3*s - 7. Let w be j(5). Suppose -w*d + 3*d = -5. Suppose -z + 2 = 5*q + z, z - d = 3*q. Which is the third biggest value?  (a) q  (b) -4\/9  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 144 + -718\/5. Put 1\/3, -3\/7, 4, u in ascending order.\nAnswer: -3\/7, 1\/3, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1322097*c**3*p - 57*c - 1178*p wrt c?\nAnswer: -7932582*c*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 309.9 - 310. Let p = 40 + -40.31. Which is the third biggest value?  (a) p  (b) -0.3  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7 in -5, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-10 - -7 - 3 - 5) + (1 - 4)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**2 + 6*g - 22. Let j be w(-8). Let a be 3 - (1 + 27) - j. Suppose -81 + 5 = 4*d. Are a and d non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**2\/6 + 1333*s\/3 - 5324\/3.\nAnswer: -(s - 2662)*(s - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 505*t + 2. Let x(d) = -19 - 2*d - 1 - 1 + 21. Calculate p(x(j)).\nAnswer: -1010*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -432*z - 7416 = -456*z. Calculate the remainder when z is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 7 = r, -2*r = -9*i + 4*i. Put 0.07, -0.4, -4, r in ascending order.\nAnswer: -4, -0.4, 0.07, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 1:13 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*y + 13*y = 21. Suppose 5*n = -3*u + u + 118, 2*u = n + 94. Suppose 3*s = -y + u. Solve 2*f = -0*f + 2*h + s, -2*h + 2 = 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = 2*u - 152, 5*u = -5*y + 48 + 327. Suppose -5*w + u - 19 = 0. What is the remainder when 32 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + (34 - 3) + (32 - 12 - 12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 271703 is divided by 135599.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:50 PM and 3:14 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the first derivative of p**3\/3 + 12*p**2 + 144*p + 50. Factor a(g).\nAnswer: (g + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 12) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -150.6 and 9?\nAnswer: -1355.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the first derivative of -v**6\/10 + v**4\/12 - v**3\/6 - 2*v**2 + 8*v + 29. Let x(j) be the second derivative of d(j). Give x(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1419 = 37*m - 90*m - 76*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -3*u**2 - 23*u - 10. Let i be c(-7). Let t(w) = -w**2 - 7*w + 6. Let g be t(-6). Solve -4*q - g = -i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**3 - 14*h**2 + 73*h - 460. Determine k(10).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1.8502 times 1.4\nAnswer: -2.59028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(2448) + -1) - sqrt(2448) - 2*-1*sqrt(2448))**2 - (-5*((sqrt(2448) - (-4 + (sqrt(2448) - (-1 + sqrt(2448))))) + -3))**2.\nAnswer: -51399 - 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20161 - 20161 - 575*a + 596*a.\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2796 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -213 + 234. Suppose 0 = 18*o - u*o + 9. Solve o*d = -d + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8317764061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1961 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, r: 4, k: 2, d: 2, u: 3, m: 2}. What is prob of picking 1 g, 1 k, and 1 r?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13280554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*b - 11*b - 3*b)*(2*b**2 + b**2 - 2*b**2) - 2 + 2*b**3 + 5*b**3 + 7*b**3 in the form s*b**3 + i + r*b + m*b**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -66733, -266920, -600571, -1067692, -1668289, -2402368, -3269935?\nAnswer: -4270996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/(x**(-1)\/x)*x)\/((x**(-1\/16)*x)\/x))**(-21))**(-37) assuming x is positive.\nAnswer: x**(50505\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3458, -3450, -3432, -3404, -3366?\nAnswer: -3318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and -107.211?\nAnswer: 321.633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 12b - -2b?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1572242?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r - 34142 = -2*x - 9*r, 4*r - 20 = 0. Calculate the highest common divisor of x and 966.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) -15\/4  (b) 5  (c) -4\/561  (d) 0.5  (e) 1  (f) 6\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -0.4  (b) 99  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 338 - 226. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 92819036119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/42 - (-49106)\/263802\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**2 + 4*v + 3. Let g be w(0). Suppose -g*x = -4*x - 54. Let c = 76 + x. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4027647 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1123178169\/1537 - 730760. What is the common denominator of 10\/29 and f?\nAnswer: 1537","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 - -27. Let f = -24.35917331 + 2.35918191. Let b = f + l. What is b rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118 = 45*u - 833 + 40 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/2*81\/(-486))\/((-2)\/104)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k**2 - 3*k**2 + k**2)*(4*k + 0 + 0) + 0*k**3 + k**3 - 2*k**3 + (2 - 1 + 0)*(-3*k**3 + 2*k**3 + 3*k**3).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 288 - 296. Let w(k) = -k**3 - 7*k**2 + 11*k + 29. Let z be w(q). Solve -z*j + 7 = -3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 19*n + 6. List the prime factors of q(3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f\/((f\/f**0*f)\/f))**(14\/3)*f\/(f**(-2)*f*f)*(f\/(f*(f*f**(5\/4)\/f)\/f))\/f assuming f is positive.\nAnswer: f**(53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a + 0*a - 19 + 21. Let o(r) = 4*r + 8. Let d(g) = -o(g) - 2*p(g). Let x be d(-8). Solve -x = -5*j + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -9*o + 3. Let s be 6\/(-6) + o*5. Solve t = s*n - 19, -3*n - n + 15 = -5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1340 - 1339.7. Let p = 0.6 - 1.3. Is w at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**3 - 5*p**2 + 6*p + 7. Let w be j(-6). Let m(q) = 2*q - 6*q + w*q. Let o(r) = -4*r. Calculate m(o(s)).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.5, 3, -0.02453, -4, 9\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-1)\/(-3))\/((-4)\/(-96)). Let l = -6 + r. Let 4\/9 + 2\/9*x**3 - 2\/3*x + 0*x**l = 0. What is x?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1999 + -1998.9. What is the third biggest value in -23, -3, -1\/3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/29 and 5\/15921?\nAnswer: 15921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -27, -33, -41, -51, -63, -77?\n\"Answer: -l**2 - 3*l - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1745, -3494, -5243, -6992?\n\"Answer: -1749*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, u: 2, t: 4, n: 4, z: 1}. Give prob of picking 1 n and 2 u.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 35 = 6*r. Let s = -5 + r. Which is the third biggest value?  (a) s  (b) 0.1  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58 - 28 = -6*o. Let t be 3*(25\/9)\/o*-3. Let x(f) = 26*f - 18. What is the hundreds digit of x(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 5*c + 64 = 0, 3*c - 54 - 18 = -3*i. Suppose -i*y + 6192 = -528. What is the greatest common factor of y and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 3 + 5)*(2*f**2 + 2*f**2 + 0*f**2)*(-2*f**2 - 3 + 3).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -147*j**2. Let a(c) = 10*c. Give i(a(z)).\nAnswer: -14700*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes before 10:57 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*d - 87712 = 18*d. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21321 is divided by 137?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 15 = -6*t. Let b be t - (-3 + -2 + -1). Let f(z) = -z**3 + 6*z - 7 + 0*z**3 + 0*z**b + 2 + 4*z**2. What is f(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4763864.\nAnswer: 2, 7, 97, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*r = -r + 1250. Let h(u) = -r*u + 295*u - 93*u. Let z(k) = -5*k + 6. Let f(n) = n - 1. Let b(s) = 6*f(s) + z(s). What is b(h(p))?\nAnswer: 77*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, -0.7, -0.1, 11, -3589\/3, 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 - 3*i**2 - 7*i - 8. Let o be q(-2). Suppose k - x - 6 + 1 = 0, -o*k + 4*x = -20. What is the closest to k in -5, 0.5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4801807441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-189)\/12*-6*6\/(-14)*-2?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:04 PM and 12:15 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16 and 1144.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.004723741 to 5 decimal places.\nAnswer: 0.00472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 - 1 - 2 + 6 - 1 - 2 + 1 + 2 + (4 + 1 - 4)*(-4 + 0 + 3))*(-415 + 415 + 5*u).\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*j - 2*j**2 + 59 + 506*j**3 - 6*j - 505*j**3 to m + u*j + a*j**2 + l*j**3 and give m.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*b*r*t**3 + 2*b*r*t**2*v - 2*b*r + 3*b*t**3*v + 10*b*t**2*v - 2*t**2*v + 2*t*v wrt r?\nAnswer: 5*b*t**3 + 2*b*t**2*v - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -1 + -1 + 63 - 14 - 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:30 PM and 4:53 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 4, g: 6}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -45224.853 - -45157. What is p rounded to zero decimal places?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -12286\/13877 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 148109130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2\/263 - -253\/1315. Let r(a) be the first derivative of 1\/10*a**4 + 0*a**3 + 1\/25*a**5 + 5 - 1\/5*a**2 - k*a. Factor r(b).\nAnswer: (b - 1)*(b + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k - 20. Let f be m(11). What is the remainder when 47 is divided by 0 + 2 - (f + -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*o - 30*a - 6 = -26*a, -4*o + 6 = -2*a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -99490, -99513, -99552, -99607?\nAnswer: -99678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnnnnnrrrnnrnnnnnknr. Give prob of picking 2 n and 1 k.\nAnswer: 91\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2010 - -2210112?\nAnswer: 2212122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w - 1. Suppose 0 = -u - 0*u - 3. Let l be (u - -4)*(6 + -1). What is the smallest common multiple of 6 and h(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -199*f = -203*f + 2*o + 6, f = 7*o + 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 26\/19 in -266, 0.09, -6\/13?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -921*m**3 - m**2 + 3*m + 10. What is the units digit of b(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5411 and 34255495?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = 4*s - 20, -25 = -3*y + 2*s - 7*s. Suppose y = 5*f - 103 - 102. Suppose -f = -2*z + 7. Calculate the highest common factor of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 149015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*d*h**4 + 3*d*h**3 + 9*d + 7*h**4 + 2*h**2 + 12*h wrt h.\nAnswer: 48*d*h + 18*d + 168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0374 * -0.31.\nAnswer: -0.011594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t + 2 - 3. Let g = t + 2. Let z(f) = 0 - 4*f**3 - 3*f**g + f**2 - 1. Calculate z(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34325437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 2*x**2 + 7*x + 5. Let i be 1 + 3 + (-17 - -9). Let s be p(i). Suppose -s*a = -4*a + 4*u - 32, -8 = 4*u. Solve a = 4*g - 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 476492741.\nAnswer: 311, 1532131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 364720983?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.18 + -0.1. Let f = 0.098 + 0.302. Sort k, 3, 1\/5, f in increasing order.\nAnswer: k, 1\/5, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -23320*f**4 - 61*f**3 - 5*f**2 - 97876178 wrt f?\nAnswer: -93280*f**3 - 183*f**2 - 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one ninth of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 276848 and 1547832?\nAnswer: 34052304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*h - 582855 = -14*h - 58*h. List the prime factors of h.\nAnswer: 3, 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 + 3.6. Suppose 4*o + 11*r - 8*r + 64 = 0, 0 = -4*o - 4*r - 72. Which is the nearest to y?  (a) 5  (b) -0.3  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v**3 - 88*v**2 - 228*v = 0 for v.\nAnswer: -19, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -16*w - 474. Give t(-32).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 27*l - 685. Let t be j(26). Solve 0 = b - t + 21 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes after 9:24 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 122, 0, -71 in descending order.\nAnswer: 122, 0, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 50 + -30. Let i = v + -11. Let r = 23 - 7. What is the remainder when r is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the third derivative of l**4\/24 - l**2. Let n(k) = 11*k. Give j(n(h)).\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -816 - -1450. What is the lowest common multiple of t and 8?\nAnswer: 2536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 239, 383, 431, 383, 239, -1, -337?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1204600 and 7980475.\nAnswer: 63843800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 + 2ae5?\nAnswer: 2ae8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-4) - (-5)\/(-4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, b: 1, s: 1, k: 2, f: 2, c: 1}. What is prob of picking 1 d, 1 f, and 1 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a hour in minutes?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 + 13*u**2 + 2*u + 230. Calculate the smallest common multiple of s(-14) and 20*12\/(-30)*(-15)\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 55 = -4*d, -2*o - 3 = -o - 4*d. Factor 0*q**2 + 2 - 4*q**3 - o*q + 13*q**2 + 2*q.\nAnswer: -(q - 2)*(q - 1)*(4*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - 1.9764. What is d rounded to 3 dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9\/391 - 147\/391. Which is the smallest value?  (a) 0.08  (b) -2\/3  (c) 3  (d) 0.1  (e) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*d**3 + 18*d**3 + 2 + 21*d**3 - 37*d**3.\nAnswer: 10*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -547*u**2 - 911*u**2 - 60*u**4 + 2349*u + 432*u**3 - 321824 + 320366 + 3*u**5 = 0. What is u?\nAnswer: 2, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -480 + 486 = 3*r + 3*n, 5*r - 6 = -3*n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -1142120 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:42 PM and 6:01 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -35.8 - -0.8. Let a = 595817 + -595852.00068. Let b = a - n. Round b to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 40962815 and 885.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.239 times 20586.7?\nAnswer: 4920.2213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*f - 14 = 19*f + n, 0 = -5*f - 4*n - 28 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 142, 1\/5, -4686, 4.\nAnswer: -4686, 1\/5, 4, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 17 - 19. Let h(b) = -5*b - 6. Let g(s) = -55*s - 65. Let n be (13 + -25)*(3\/(-2) - -2). Let j(x) = n*g(x) + 65*h(x). Give j(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2 + ((-306)\/(-27) - 4\/(-6)). Is 1126\/m - (-2)\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7*(-5)\/30*-6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -64331.753 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-3)\/(-6))\/((-2)\/(-32)). Let m(r) = -y + r**3 - 3*r - 6*r**2 - r + 6*r. Let g be m(6). Let b(p) = -p**2 + 5*p + 3. Calculate b(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 98, 669, 1614, 2927, 4602?\nAnswer: 6633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -140104, -140292, -140478, -140662?\nAnswer: -140844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k**3 - 3 + 3)*(-3*k + 3*k - k) + k**4 + k**4 - 4*k**4 - k**2.\nAnswer: -5*k**4 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:04 AM and 4:29 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*g - 169518 = -169486 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16771471.2ms to days.\nAnswer: 0.19411425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/12 in 0.3, -0.4, -1, 130, 1403?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/(9\/(-3)*(-16)\/(-24))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6979*b**3 - 6983*b**3 + 6553*b**2 - 6547*b**2.\nAnswer: -4*b**3 + 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.04 - -0.56. Let c = y + -2.6. Let z = 1.9 + c. Which is greater: -1\/6 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2962.5998 + 2682.568. Let k = -280 - o. What is k rounded to three decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1837?\nAnswer: 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26378 = 18610*g + 2389848 for g.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/19, 1, 0.2, 12\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(6 + 428\/(-72)). Suppose 146 + o = 7*b. Which is smaller: 24 or b?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 7*h = 4 - 6 - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19)*3)**2 + 0 + -3*sqrt(475) - ((sqrt(76)*-1)\/sqrt(4) + (-4 + sqrt(76)\/sqrt(4))**2).\nAnswer: -6*sqrt(19) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 169, 8, 13, -5 in decreasing order.\nAnswer: 169, 13, 8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 + -2 + 2\/1. Suppose 2*g = 2*o - 22, -5*o - z*g + 28 - 8 = 0. What are the prime factors of 24*(o\/(-4))\/(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2\/3 + 8658*r + 260340.\nAnswer: -2*(r - 13017)*(r + 30)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 - 5 - 7 - 3*d**2 to z + h*d + g*d**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x + 26 + 62 - 19)*(3*x**4 - 2*x**4 + 4*x**4).\nAnswer: -10*x**5 + 345*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**2 + 14*s - 29. Give v(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 34424 - 33885. Which is greater: 565 or l?\nAnswer: 565","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in -2\/5, 1553, 0.1, -5, 3, -4, 108?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes after 2:45 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 4*217\/4*81\/(-1701)\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3957*6976\nAnswer: 27604032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-22)\/(-1) - (1 - -1). Suppose -3*s = -i + g, i + s - 30 = 6*s. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/2, -87, -1\/6, -0.2, -0.01?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**2 - 691*y - 1707190. What is m(1697)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -71 + 136. Let o be (2\/(-12))\/(11\/(-1584)*6). Suppose -n = -j + 5*d, -2*j + o*d = -174 + 56. Calculate the remainder when j is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.4 less than or equal to -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 51 - 7 = -3*g, 0 = 5*g + 5*k - 90. What is the remainder when 61 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 + 5. What is the remainder when 35 is divided by ((17 - -1)\/2)\/i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) 24\/7  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g + g - 15. Let i(s) = -s**3 + s**2 - 4*s + 5. Let z be i(g). What is the tens digit of (8 + -3)*(-145)\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -2) + (1 - 0) + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 2, j: 1, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1173628.\nAnswer: 2, 59, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 7*-9*(-2)\/(-21)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*o + 136 = 47*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 147 by 4.\nAnswer: 147\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -k - 8, -5*j - 45 = 5*k. Let h = j - -33. Suppose -61*c = -54*c - 56. What is the remainder when h is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 702162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -25, -2\/13 in ascending order.\nAnswer: -25, -2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -701176 divided by -175294.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**3 + 8*k**2 - 14*k + 17. Let i be c(6). Solve 4*s - 12 = 3*s - 3*g, 5*g = -i*s + 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 19205.94ms?\nAnswer: 0.320099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1325 + -11?\nAnswer: -1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 77, 4884, -7\/2, 1\/3 in decreasing order.\nAnswer: 4884, 77, 1\/3, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -111 + -33321442?\nAnswer: -33321553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + n - u = 11, -4 = 2*u. What is the remainder when 16 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the second derivative of -a**5\/20 + 11*a**4\/12 + 3*a**3\/2 - 35*a**2\/2 - 5*a. What are the prime factors of m(-7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -67.7 and 195.\nAnswer: 127.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1370 + -23325\/17. What is the common denominator of -39\/2 and v?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 2115639?\nAnswer: -1\/705213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*u + 94 - 65 = 80 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**3 - 14*j**2 + 15*j + 10. Let s be t(-15). Let l be 54\/s + 30\/(-75). Suppose -204 - 21 = -l*z. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 13916599?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.491 + -0.509. Suppose 2 = -2*r, -4 = n - 2*n - r. Which is the closest to 1\/3?  (a) 0  (b) n  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -23262740 to the nearest one hundred thousand.\nAnswer: -23300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 187853, 375682, 563515, 751352, 939193?\nAnswer: 1127038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 4*k**3 + 86*k**2 + 3*k - 14. Let s be t(-21). What is the greatest common divisor of 115 and s?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*n = 10*n - 23. Solve 16 - n = 5*w - 5*c, w + 4*c + 2 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**2 + 7*n + 1. Let j(l) = 26*l**2 - 42*l - 11. Let h(g) = -j(g) - 6*z(g). Let v(m) = -2*m. Calculate h(v(w)).\nAnswer: -128*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*z + 33*z + 146781 = -5*b, z - 5*b = 36714. Round z to the nearest 100.\nAnswer: 36700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:15 AM and 4:58 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 17 = 3*p - 7*f, -4*p + 32 = -2*f. Let b be (-6)\/(-3 + p) - -5. Solve 4*j + 0*j + 8 = 2*h, -b = 2*j - 4*h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d**4\/3 + 3662*d**3\/3 + 3661*d**2\/3 = 0. Calculate d.\nAnswer: -3661, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/5?  (a) -3  (b) -2  (c) 3\/22  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 2*w = -270002, -5*j - 3*w = w + 450004. What is j rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5334581.\nAnswer: 7, 108869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 245351039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 74 - 226 = 0. Suppose -7*r = 4*n - 5*r - 168, -t = -2*n - 5*r. Is n a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19500877033 + -19500875303.00001734. Let h = l + -1730. Round h to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 5*n = 33, 16 = 3*s - n - n. Suppose 5*o - 27 = -s*v, 2*v + o = -o + 12. Let p = 41 + -289\/7. Which is bigger: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 4*r**3 - 1. Let y be k(1). Find the common denominator of 50\/y*(-36)\/(-32) and 81\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 20.985 + -21. Let d = t - 0.059. Round d to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 2*n + n. Let s = -13 + 15. Suppose -5*d = 2*m - 46, -8 = -5*m - s*d + 86. Solve 2*j - j - n*l = -m, 0 = j + 3*l - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -8, 4, 24, 52?\n\"Answer: 4*n**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/9  (b) -1602  (c) -1\/2  (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 65157338 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 133845.3 meters in micrometers?\nAnswer: 133845300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l + 10 = 5*c, -4*l - 20 = c + 35 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1886618*m**3 - 2*m**2 + 1878167*m**3 + 2*m**2.\nAnswer: -8451*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggmm. Give prob of sequence gm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23044, 47804, 72564, 97324, 122084?\nAnswer: 146844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3 - 6 - -2*(-375 + 2). What is the tens digit of -1 + 3\/2 + w\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-12)\/(-42) - 2\/(42\/(-4551))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*i**6 - 7*i**4 - 3*i**2 - 15*i?\nAnswer: -360*i**3 - 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -5*y - 2. Let n(k) = 38 + 20 + 110*k - 9 - 4. Let q(w) = 45*l(w) + 2*n(w). Let i(b) = 0 - 3*b**2 + 2*b**2 + 0. Give i(q(h)).\nAnswer: -25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000390768531 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19295?\nAnswer: 5, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1124 = -115*l + 946. Suppose -4*c - 11 = -27. Solve -c*w + l = 2*h, h + 8*w - 4*w - 15 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w. Let n(m) = -155*m - 1. Give q(n(l)).\nAnswer: -155*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38846049?\nAnswer: 3, 11, 1177153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 - -1. Let y(u) = 13*u - 27. Let d be y(9). Let t be 2\/8 + d\/(-40). Sort b, t, -4 in increasing order.\nAnswer: -4, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - -1) + (-6 - -2) + 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 314.256 to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 9 = -0*m - m, -9 = m - 3*h. Suppose -w + 5*w + 96 = m. Is (30\/(-8))\/(6\/w) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.01 + 3.01. Let h = 3062.8 - 3063. What is the smallest value in -1, o, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -149*w**2 + 7004*w + 120. Determine d(47).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2649397.82 rounded to the nearest one hundred?\nAnswer: 2649400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * -368021.\nAnswer: -184010.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 3*v - 18 = 0, 3*l + 0*v = 2*v + 7. Solve 0 = -f + 4*r + 8, -4*f + 18 = r - l*r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70196663.\nAnswer: 103, 681521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*q**2 - 176637504*q - 2600067318279168.\nAnswer: -3*(q + 29439584)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -22*a**3 - a + 2. Let c be p(1). Let z = c + 29. Suppose -3*s = z*k - 3*k - 1167, -2*k - s + 466 = 0. What is the highest common factor of 21 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 3*w + 24 = 0, -6 = 3*w - 0*w. Calculate the smallest common multiple of 13 and o.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -97 + 196. Does 33 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 761720073?\nAnswer: 3, 37, 6862343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2495*b*r**3*s - 5576*b*r**2 - 2*b*r - 12*r**3*s - 3*r**3 + r**2 wrt s?\nAnswer: -2495*b*r**3 - 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 75971605 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -241*l + 51307. Calculate z(211).\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/11, -0.2, -1, 49\/6 in increasing order.\nAnswer: -1, -0.2, -1\/11, 49\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is three sevenths of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11692 and 790?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 43.5565 times 0.9\nAnswer: 39.20085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -2*b + 16. Let q be a(7). Let f = -4417\/6 + 731. What is the common denominator of 515\/(-100) - (-2 + q + -2) and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2911473.3 months in millennia?\nAnswer: 242.622775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2768\/15 + 553\/3. Find the common denominator of y and 23\/651.\nAnswer: 3255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1382226*(0 + 9\/(-54))\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 2 = -3*a, -4*i + 18 = -13*i. Which is greater: -1\/125 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:27 AM and 12:46 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 21\/9 + (-2)\/6. Let c(j) = j**2 + 8*j - 6. Let x be c(-7). What is the common denominator of -18 and 12\/x - o\/1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 261 divide 2455331922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 55*m**3 + 1892*m**2 + 2547*m + 195. Determine r(-33).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*4*(sqrt(70) - (1*sqrt(70)*2 + sqrt(70) + sqrt(70))))\/(sqrt(640) + -1*3*sqrt(640) + sqrt(640) - sqrt(640)).\nAnswer: -9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 20608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -183 - -180.8. Let v = 1.7 + t. What is the smallest value in -2\/3, v, 93?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1080973 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: Let a = -470889 + 447344439\/950. Find the common denominator of a and -107\/2280.\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6*(-4)\/(-1952))\/(18\/(-792)*33)\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**3 + 7*v**2 - 6*v + 4. Let d be a(6). Suppose -3*b + 0*b + 51 = 0. Solve 0 = 2*o - d*o + 3*f - b, 4*o + 3*f = 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1030, 5, 1, 1008, 30 in decreasing order.\nAnswer: 1030, 1008, 30, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**2 - 7*z - 18. Let m(a) = 2*a**2 + 15*a + 37. Calculate 13*k(b) + 6*m(b).\nAnswer: -b**2 - b - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -o + 21, -4*p + 54 - 10 = 2*o. Suppose -o = 9*f - 2. What is the hundreds digit of 5\/(5\/f) - (-149)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 89*w - 36667 = -85*w, 2*w + 29336 = 4*n. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/6)\/(168\/1260)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -69, 3\/7, 2\/9, -0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -59803.7613 - -59808. Round r to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4  (b) 5  (c) -13  (d) 0.2  (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -25 and 0.3243878.\nAnswer: -8.109695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 888 is divided by 200.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 - 8*w**2 + w - 9. Let z be 41\/(-5) - ((-240)\/75 + 3). Give g(z).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1265*w = 428*w + 3348 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6560000 rounded to the nearest one hundred thousand?\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - 6) + 8 + 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16 + -14. Let u be (-44)\/(-18) - (1 + 1). Let c = 8\/53 - -103\/371. Put u, c, d in descending order.\nAnswer: d, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -156836, -1254682, -4234550, -10037450, -19604392?\n\"Answer: -156835*b**3 - b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u\/(u\/((u\/((u*u**(2\/5))\/u))\/u))*u)\/u)**1)**38 assuming u is positive.\nAnswer: u**(114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -64457693\/60904680 + 2\/507539. Find the common denominator of r and 101\/168.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 15*g - 3185 = 10*g, -2*i + g = -1280. Calculate the lowest common multiple of i and 10.\nAnswer: 6390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -27*s**2 - 1. Let w(i) = -4*i - 3. Let p(h) = -6*h - 4. Let b(j) = -3*p(j) + 4*w(j). Give b(c(q)).\nAnswer: -54*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:47 AM and 3:05 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the first derivative of g**4\/6 - 2*g**3 + 9*g**2 - 18*g - 5. Find q such that c(q) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/(-14)*(2980\/(-120) + 25)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.98 + -0.02. Let o = -14.7 + 14.2. Which is the biggest value?  (a) o  (b) i  (c) 0.1  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4404555.3 + -2.7.\nAnswer: -4404558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -4*(-8 + 7) - 0. Solve -5*f - 18 = -2*g + 4*g, -4*g = 2*f + w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.3, -0.2, 9639752?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -2*f**4\/9 - 137942*f**3\/9 + 275890*f**2\/9 - 45982*f\/3 = 0.\nAnswer: -68973, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -37 - -27. Let x(p) = -2*p - 11 - p - 8 + 13. Is x(y) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vzx when three letters picked without replacement from {v: 6, z: 4, x: 5, r: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 96 - 99*x + 75 - 2621*x**2 - 227 + 73 wrt x?\nAnswer: -5242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 24 and 13962?\nAnswer: 55848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 31 - 3 - 4 - (-24 + 12) - 13.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*m**3*r + 4*m**3*w**2 - 4*m**2*w**3 - 5621*m*w**3 + 3*r*w**3 - 24608*r*w + r wrt r.\nAnswer: 3*m**3 + 3*w**3 - 24608*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: -415014 (base 6) to base 14\nAnswer: -c2c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 44 + 272. Find the common denominator of 137\/(-462) + 84\/308 and (r\/90)\/((-8)\/10).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1062103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/22 and 9\/9826.\nAnswer: 108086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 270  (b) 5.6  (c) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6 + -20)\/((-1)\/24). Suppose 3*f + f = j. Is f a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jwxwxxjfjffwooxw. What is prob of picking 3 f?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 342 divide 90634841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*c = -48*c - 64. Let r(i) = -56*i - 24. Is 8 a factor of r(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -8*a + 453. Let k = 2606 - 2551. What is t(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:01 AM and 9:19 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1230346 to the power of 1\/2, to the nearest integer?\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -200*w + 401*w - 114 = 207*w for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 2225, 4442, 6645, 8828, 10985, 13110, 15197, 17240?\n\"Answer: -t**3 - t**2 + 2227*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9073\/672 - 27\/2. Let d(q) be the third derivative of -15*q**2 + v*q**8 + 1\/40*q**6 + 0*q + 1\/30*q**5 + 0 + 0*q**3 + 1\/48*q**4 + 1\/105*q**7. Factor d(k).\nAnswer: k*(k + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0*38\/(-532))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -111 - -553\/5. Suppose -m - 2*m = 0. Which is smaller: m or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.09 - 2.09. Suppose 518 = -d + 522. What is the second biggest value in d, -0.1, x, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i = 15 - 1. Suppose 2*z - 24 - 20 = -4*x, -4*z = i*x - 28. Calculate the highest common factor of x and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 3*y - 1. Let h be b(1). Suppose h = k - 3. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 25*s + 3. What is the units digit of g(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 154997 and 874.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.4 or 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -3168 divided by -99?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 2 = -q, -4*q = -2*q + 2*s + 8. Suppose k - 34 = 3*u - 11, -4*u - 12 = 0. Let j = k + q. What is the greatest common divisor of 24 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 39042 and 24607064.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*d - 5*d**2 + 5*d**2 + 22*d + 8*d**2 - 2*d**2.\nAnswer: 6*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 2*q**2 - 9 + 1 - 2 - 2 - 3*q + 6. Let b be -3*3\/6*2. Let j(y) = -2*y**2 + 7*y + 7. Let t(p) = p. Let a(n) = b*t(n) + j(n). Give 3*a(w) + 4*v(w).\nAnswer: 2*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - 2*j - 14, -2*c + 5*j + 20 = 6*j. Suppose -4*a + 14 = -2. Suppose -t = -a*t + c. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2100\/490 + 15\/21\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16980999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.6 and -17.16672.\nAnswer: 10.300032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 4809 = 9*f. Suppose f - 102 = 4*m + 5*p, -2*p + 144 = m. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -5*i - 21. Suppose 0 = 18*n - 36*n - 54. What is c(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*l**2 + 15 - 22 - 3*l**2 + l**4 to g + s*l**4 + v*l + r*l**3 + w*l**2 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -305859 and 0.067.\nAnswer: -20492.553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 145 - 143. Solve 3*s = -z*s + 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 2\/23, 4, 3\/7, 0.05671, 0.5?\nAnswer: 0.05671","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -28209, -28018, -27815, -27594, -27349?\nAnswer: -27074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 288281 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, h: 1}. Give prob of picking 2 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f. Let q(m) = 10*m + 4 - 5*m + m**2 + 0*m**2. Let k(g) = b(g) - q(g). Determine k(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5668 (base 11) in base 3?\nAnswer: -101020010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 268 + -330 + (10 - (-13 + 3)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f + 5*z - 10840, -2*f - 3*z - 7788 = -536. What is f rounded to the nearest 100?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -31040.3 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 295792*a**2 + 295792*a**2 + 10*a**3.\nAnswer: 10*a**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 48*y. Give h(1).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.3, 2\/9, -2\/21, 10.\nAnswer: -1.3, -2\/21, 2\/9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 73 - 68. Solve 0*b + b = 5*u + 19, -r*u - b = 21 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, a: 1, r: 9, f: 7}. Give prob of picking 1 r and 1 f.\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-148)\/(-28) + -2*(-3)\/(-21). Solve 3*m + w - 2 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 1\/4, -0.6, 0.4, -21.07?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**3 - 19*m**2 + 26*m + 25. Calculate w(-20).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -433*b + 434*b - 9 = 2*h, -4*b = 4*h + 36 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**3 + f**2 + f + 1. Let t(p) = 10*p**3 + 3*p**2 + 3*p + 3. Give 3*a(w) - t(w).\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 74 a factor of 3626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1484058016?\nAnswer: 2, 7, 1733, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1493566 is divided by 298713.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 39 - (-7 + 43 + -30).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 104225?\nAnswer: 5, 11, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 274575510 - -1?\nAnswer: 274575511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 l, and 1 y when three letters picked without replacement from {b: 6, l: 4, t: 2, q: 2, z: 4, y: 2}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 12 = 0, 3*j + 88 + 20 = 2*d. Suppose -58*l + d*l = 10. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(275) + (1 + sqrt(275) + 1)**2 - (sqrt(275) + (1 + sqrt(275)*-2 + sqrt(275))**2)) + 4 + 4.\nAnswer: 11 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 746049 and 14.\nAnswer: 10444686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -57*b**5 + 3*b - 148.\nAnswer: -1140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3104 is divided by 496.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -19*x**2. Let c(p) = -4*p**2 - 6*p - 6. Let o(d) = 3*d**2 + 5*d + 5. Let f(h) = 5*c(h) + 6*o(h). Give z(f(b)).\nAnswer: -76*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6*(80\/60 + (-2)\/6). Calculate the common denominator of -89\/10 and 16\/d*(-456)\/190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 670337471?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**3 - 2*s**2 + 3*s + 2. Let c be j(-3). Solve -3*z = 3*r + 4 + 14, 2*z - 3*r + c = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98*u + 66559 + 43741 = -78*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 181 + -51. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0368631 to 3 dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -161 + 167. Let c(a) = 54*a - 45. List the prime factors of c(k).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1.603 and -734546.5?\nAnswer: 734544.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 7.244744 kilometers?\nAnswer: 7244744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (3 - 0 - 0 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 228 - 148. Suppose 0*r - r - 3*p = -i, -88 = -r - 5*p. Calculate the greatest common divisor of r and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 + 0. Suppose -x*k - 3 + 7 = 0. Solve 5*n + 24 = 3*s, -s + k*s = 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*l**3 + l**3 - 2*l**3 + 1334*l - 1300*l.\nAnswer: -4*l**3 + 34*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**3 + 5*c**2 - 5*c + 1. Let x be r(4). Let l be 1\/((-1)\/x) - -18. Calculate the remainder when l*(-24)\/(-9) + 3 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve w**5\/2 + 9*w**4 - 623*w**3\/2 + 504*w**2 + 1976*w + 1152 = 0 for w.\nAnswer: -36, -1, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -p**5 + 1708291*p**4 - 22*p**2 - 87970236*p wrt p.\nAnswer: -20*p**3 + 20499492*p**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13 - -2. Let x = 0 - a. Suppose -2*y = -7 - x. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 2*n + 57. What is the common denominator of ((-12)\/(-8))\/(16\/(-28)) and n\/9 + (-1)\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(204)*-2*-5 - -2*sqrt(204)*-5)\/(2*(sqrt(144)\/sqrt(4))\/sqrt(3)) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 735327293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 2*f**3 - 17*f**2 - 10*f + 7. Let v be w(9). What is the closest to -1 in v, -0.24, -2\/13?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 1 = 8. Let p be (-3 + 18\/4)*14\/6349. Let k = p - 22687\/3628. Which is smaller: u or k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**3 + 77*a**2 - 14*a + 1613. Calculate x(77).\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 50?  (a) -3  (b) -2\/5  (c) 1\/6  (d) -0.2  (e) -2  (f) -4\/2087\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 59*l = 186*l - 25376 for l.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -3*s**3 - 2*s**2 + 7*s - 7. Let j(i) = 2*i**3 + i**2 - 5*i + 5. Let c(l) = -5*a(l) - 7*j(l). Factor c(x).\nAnswer: x**2*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9527?\nAnswer: 7, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mepeppeem. Give prob of picking 1 e and 1 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9487402 is divided by 9265.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -59103 at least -59116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -21177032*u**2 + 13016*u\/3 - 2\/9 = 0. What is u?\nAnswer: 1\/9762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 34 - 33. Let z be 61 - (-2 - (d + 1)). Suppose 5*l = -2*j + z, -j = -2*j. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -674.39808 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 1 q when three letters picked without replacement from fnnnnxnxqqqx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - y + 5 + 2 = 0, 2*y = -4*w. What is the hundreds digit of (1\/(-2))\/(w\/712)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-39 + 39 - 35*y)*(4 - 4 + y)*(2*y + 3 - 3).\nAnswer: -70*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 4148925 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**2 + 6*x. Let h(m) = -7*m**2 + 36*m + 16432. Determine 6*f(a) - h(a).\nAnswer: a**2 - 16432","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -24*j + 1. Let p be u(0). Let r be -5 - (-5 - p - 3). Determine y, given that 0*y + 0*y**3 + 1\/4*y**2 - 1\/4*y**r + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 11*t - 2)*(t**2 - t**2 - 3*t**4) + 4*t**5 - 5*t**5 - 7*t**5.\nAnswer: 25*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1335*w - 442*w + 1548 = -1666*w - 134079 for w.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t**5\/4 + 121*t**4\/4 - 125*t**3\/4 - 361*t**2\/4 + 152*t - 61 = 0. What is t?\nAnswer: -122, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 21238210 and 889.\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 3 = 5*h, 4*h - g + 5*g = 4. Suppose -l = -h - 13. Let 0 + 0*w - 15\/2*w**5 - 13\/2*w**3 - w**2 - l*w**4 = 0. Calculate w.\nAnswer: -1, -2\/5, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qzqzxzzzezx. What is prob of sequence zqe?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92822 is divided by 235.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10771*i**3 + 2*i + 2790.\nAnswer: 64626*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 + 3. Suppose 0 + 12 = z*s. Differentiate 2 + 1 + 2*m**s - 1 with respect to m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/15 of a day in seconds?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*g**2 + 2225*g**3 + 10*g**2 - 15*g**2 + 572*g**3 + 808*g**3 in the form c*g**3 + h*g**2 + z*g + w and give c.\nAnswer: 3605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 15453 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 greater: 8699 or 2357212\/271?\nAnswer: 8699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2940385 and 13930?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17648 + -17601. Solve 32*h + 143 - w = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 103 divide 1690123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t + 844 = -3*i + 865, 4*t - 40 = 8*i for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1612 and 260?\nAnswer: 8060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 120282054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2475304?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-396)\/54 + 12\/(-45)*35\/14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -137, -4, 4 in increasing order.\nAnswer: -137, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -13*g**3 + 11*g - 6. Let k(w) = -w**3 + 26*w**2 - 22*w - 84. Let r be k(25). Let o(u) = -6*u**3 + 5*u - 3. What is r*o(n) + 4*h(n)?\nAnswer: 2*n**3 - n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes before 11:50 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o + 8*o**2 - o - 1 + o**2 - o + o + (2 - 2*o**2 - 2)*(2 - 2 + 1))*(-2 - 1 + 0)*(-2 + 2 - 1)*((3 + o - 3)*(0*o - o - o) + o**2 + o**2 + 5*o**2).\nAnswer: 105*o**4 - 15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0035672646 to six dps.\nAnswer: 0.003567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -85 - -25. Calculate the common denominator of (-11374)\/(-5640) + (-2)\/3 and 2\/(-6) - (-718)\/p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -4*a, -29*a + 28*a - 2 = 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 43 + -33. Let k = v + -7. Suppose -k*x = -5*x + 4*t - 1260008, 2519992 = -4*x - 4*t. Round x to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -142.03006 rounded to one dp?\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -53761\/351 and -154 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1069.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*c + 5*c = -96. Suppose -c = -5*i + u, -5*i - 17 = u - 43. What is the smallest common multiple of 1 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the first derivative of -3*g**2 + 1. Let f(z) = -z**2 + 456*z. Let x(a) = -114*a. Let s(v) = f(v) + 4*x(v). Give u(s(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -51 - -50. Let p = 6 + d. Find the second derivative of -571 + 571 - 30*o - 19*o**p wrt o.\nAnswer: -380*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -5*x - 9. Let u be z(-1). What is the remainder when 88 is divided by (-145)\/(20\/u) - -4 - 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -91, -101, -111, -127, -155?\n\"Answer: -n**3 + 6*n**2 - 21*n - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x - 16. Let o be q(-7). Let m be 2\/4*-8 - -4. Is 16 + o + (m - -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4775*r + 7*n = 4772*r - 168, -2*r - 4*n = 96 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-60)\/(-36) + -5 + (-69)\/9?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2440, 2441, 2442, 2443?\n\"Answer: v + 2439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1994024159 is divided by 558?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -346*u + 72*u + 1790316. Calculate the greatest common factor of 891 and u.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 3*g + 2. Suppose -2 = 3*c - 3*a - 11, -c = 2*a + 12. Let o be i(c). Let s = 73556 - 73556.2. Sort s, -1, o, -0.8.\nAnswer: o, -1, -0.8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(209)\/(sqrt(1100) + (1*sqrt(1100) + sqrt(1100) - sqrt(1100))).\nAnswer: sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.19 and 35379016.\nAnswer: 35379015.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -5 + 9 - (-1 + 1). Suppose -i = 4*i - 15. Suppose m*a = i*a + 2. Solve 8 - 4 = -a*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2 - 35*r - 45. Let c be (-3)\/(-9) - (-2256)\/(-72). List the prime factors of q(c).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 521 + 601 - 1246 + 591 - 15*d**2 to the form o*d + x*d**2 + k and give k.\nAnswer: 467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, i: 6, s: 1, v: 3, z: 5, w: 1}. What is prob of sequence wy?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -414 - -414. Calculate the smallest common multiple of 60 and -2 + 2 + w - -6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2*26\/(-4))\/((-1625)\/3250)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 6, b: 1, k: 5, e: 2, l: 1, d: 1}. Give prob of sequence eb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, e: 2}. What is prob of sequence er?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58796389?\nAnswer: 47, 947, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 277\/5 + -331\/5. What is the common denominator of q and 31\/76?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -447214 or -894427\/2?\nAnswer: -447214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 104*l - 2400. Give a(24).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the second derivative of 7\/6*n**3 + 0 + 6*n**2 + 11*n. List the prime factors of i(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 16832\/144*90\/(-3480).\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1685, -2172, -2977, -4100, -5541, -7300?\n\"Answer: -159*z**2 - 10*z - 1516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -232077, -232102, -232127, -232152, -232177?\n\"Answer: -25*y - 232052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -52.8 and 127905?\nAnswer: 127957.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 + 29)\/(-6) - (44 + 2).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3917411697 to the nearest integer?\nAnswer: 62589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, 4, 32.\nAnswer: 3, 4, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.50371846 rounded to 3 decimal places?\nAnswer: -0.504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -187\/728 - -12\/91. Let d = -14.88 - 0.12. Let k be (-1)\/(-33)*(2 - -1). Which is the second biggest value?  (a) k  (b) u  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3299981?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from byybtbyyt. What is prob of picking 1 t and 1 b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 12736601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1854869077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j + 5*j. Solve j*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1359 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -182103, -364201, -546299, -728397, -910495, -1092593?\n\"Answer: -182098*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 5133 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q - 94 = 116. What is the remainder when q is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4 and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-21)\/(-1)*(-3 + -7). Let r = w + 369. Let b = -81 + r. List the prime factors of b.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11950115407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20.40000047 + -20.4. What is o rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 - 6. Which is the closest to 2\/7?  (a) 0.2  (b) -5  (c) -0.2  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*a + 14*a = 175. Differentiate 63*f + 5 - 69 - 56 + a*f with respect to f.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -3*l - 1. Let n be p(-4). Suppose -37 - n = -4*h. Suppose 4047 + 2658 = 201*b - 531. Calculate the greatest common divisor of h and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4454 + -4452. Let w = -6.5 - -6.5. What is the nearest to l in 0.06, w, -0.1, -1\/5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5791 - 5790.616656. Let j = 0.3234 - q. Let v = 0.06 + j. Round v to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5246396 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*u + 1164837 + 1164839 - 2329676.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (10*k**3 - 2*k**3 - 14*k**3)*(4 - k - 4) + (k**2 - 2*k**2 - k**2)*(k**2 - k**2 + 2*k**2) as f + j*k**2 + u*k**3 + h*k + l*k**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 333016*z**6 + 298718*z**2 wrt z.\nAnswer: 39961920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 17, c: 1}. Give prob of picking 4 q.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -10 - (-64)\/8 - (-20 + -1). Solve -7*h + 7 = -u - 5*h, -5*u + 2*h - y = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16152 and 382264.\nAnswer: 1146792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 5*n**2 + n + 11. Let m(a) = 8*a**2 + a + 16. Let r(w) = 5*m(w) - 7*v(w). Let z(p) = 9*p**2 - 3*p + 5. What is -5*r(b) + 3*z(b)?\nAnswer: 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -351*o - 816*o - 551*o to y + t*o and give t.\nAnswer: -1718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -67*n - 29*n - n - 13*n to x*n + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c + m = 2*c - 9, 2*m = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gtmdm. Give prob of sequence tdg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the third derivative of y**6\/24 + 2*y**5\/15 + 97*y**3\/6 + y**2 - 42*y. Differentiate r(p) wrt p.\nAnswer: 15*p**2 + 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2)\/n)**(-33)*n*n**(-1\/4)*n**6*n assuming n is positive.\nAnswer: n**(427\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b - 61*b**2 + 1 - b**2 + 0)*(-b**3 - b + b) + (0*b**3 + 3*b**3 - b**3)*(-2*b**2 + b - b) + 3*b**5 + 3*b**5 - 5*b**5.\nAnswer: 59*b**5 - b**4 - b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -514 (base 10) in base 8?\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 94256.88 centuries?\nAnswer: 942568.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -2*x**2 - x + 2. Let p(u) = -143*u**2 - 2*u + 8. Give -3*p(r) + 12*t(r).\nAnswer: 405*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 a factor of 23880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9133110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 37985?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 39236210?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -32916 at most -32851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -2*f**2 + 13*f. Let u be h(6). What is the third derivative of 2*d**2 + 6 - u*d**4 - 3 + 10*d**4 + 2*d**4 wrt d?\nAnswer: 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -6, -5286.\nAnswer: -5286, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times -20543.7?\nAnswer: 2054.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1404141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 330418, 0, 4.\nAnswer: 0, 4, 330418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 0.06  (b) 4867  (c) -5\/3  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1462?\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 2*c = 2*p + 140, 2*p + 106 = -5*c. Let x = -34 + p. Let u = 239 + x. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 27213769?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -3*k**3 + 5*k**2 - 4*k + 2. Let g(z) = -2*z**3 + 4*z**2 - 3*z + 2. Let q be ((-210)\/(-665))\/((-6)\/(-76)). Determine q*g(j) - 3*p(j).\nAnswer: j**3 + j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*a**2 + 1078879*a**3 - 1078880*a**3 + a - 14 - 2*a to the form i + l*a + g*a**3 + w*a**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (4\/(-3))\/(2\/(-3)). Suppose -2 - 2 = -b*n. Suppose 5 = -n*a - 1. Let d(c) = -4*c - 4. What is d(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the first derivative of s**4\/4 - 14*s**3\/3 - 55*s**2\/2 + 51*s + 226. Let w be x(17). Which is the nearest to 9?  (a) 2\/3  (b) 2\/7  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9311 is divided by 1860.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 2 + 3)*(-n + 2*n + 0*n)*(-7 + 6 + 8) + 2*n + n - 4*n)*(-6*n + 4*n + 5*n) + 3*n**2 + 7*n**2 + n**2.\nAnswer: 50*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.141824 decades to months.\nAnswer: 617.01888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -5915, -11919, -17919, -23915, -29907, -35895, -41879?\n\"Answer: 2*q**2 - 6010*q + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 8*b**2 - 6*b**2 - b**3 - 15 + 3*b**2 + 8*b. Let z be m(6). Is (0 + -3)*(-27 + (1 - z)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the first derivative of 6*u + 5*u**3 + 3 - 21\/2*u**2. Factor m(o).\nAnswer: 3*(o - 1)*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -530*z + 534*z + 1072. Let s = z - -352. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/20*((-9)\/6 - -2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, -5, 1, -2965, -1, 0 in descending order.\nAnswer: 11, 1, 0, -1, -5, -2965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k - 8 = -f, -f + 4*f - 10 = 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -419*z**3 + 2*z + 2. Is s(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**3 - 5*q**2 - 16*q - 74. Determine m(0).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 + 8*a**2 - 8*a + 5. Let y be m(-8). Suppose 0*s + y = i - 3*s, 3*s = 6. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25 - (12 - ((-25 - -28) + 1 - (1 + -9))).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60*r - r**2 - 10*r - r**2 - 53*r + 75 + 125*r.\nAnswer: -2*r**2 + 2*r + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.3, -20, 3, -11313?\nAnswer: -11313","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -274*j + 277*j + 12 = 0, 7 = -3*k - j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 914232 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6 + 5)*4\/(-2). Let o be 508 + a + 1*-3. Suppose 7*v - 53 - o = 0. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2276570 + 0.5.\nAnswer: 2276570.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h + 4*b - 17542, 2*h + 29*b - 11704 = 31*b. Does 90 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1815)\/66 - (-432)\/16)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -309883*q - 2789108. Calculate w(-9).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0668948204 + -6047?\nAnswer: -6047.0668948204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (28\/(-2184))\/((-8)\/4*4\/240)?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 107043425 is divided by 5418.\nAnswer: 5417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1\/92285 + 184591\/1937985. Factor 0 + 0*v - 4\/21*v**2 - a*v**4 - 2\/7*v**3.\nAnswer: -2*v**2*(v + 1)*(v + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 14114101 - 4?\nAnswer: 14114097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -40922, -40920, -40918?\nAnswer: -40916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 86437163.\nAnswer: 17, 311, 16349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10*s**2 + 0*s**4 + 3*s**5 - 3*s**4 + s**4 - 44*s**2 wrt s?\nAnswer: 180*s**2 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 3*s, 0*s + 2*s = -t. Sort -2, 5, s, -12 in decreasing order.\nAnswer: 5, s, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/7 - (-563566)\/(-112). Let m = j - -5023. Find the common denominator of ((-22)\/(-66))\/(52\/49 - 2\/2) and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6828052 + 1.507.\nAnswer: -6828050.493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -151\/7860396 and 1\/17030858.\nAnswer: 102185148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/4*((-14196)\/(-117))\/13?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 21*j**2. Let n(r) = -r - 1. Let y(f) = 2*f + 1. Let s(q) = n(q) + y(q). Determine s(v(o)).\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2310 and 56658000?\nAnswer: 623238000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -1, 19 in descending order.\nAnswer: 19, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1554 is divided by 76.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3860 - -4041. What is the greatest common divisor of k and 9231?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 118*a**2 - 2. Let q be s(-1). Let j = 125 - q. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 3*k**2 + 10*k + 8. What is g(-6)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -49*m - 85933 + 263411. What are the prime factors of m?\nAnswer: 2, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 182334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 - 0. Let i = 193\/1449 + 2\/207. Which is the smallest value?  (a) z  (b) 4  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 163863272 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**6\/d*d**(-3))**(-42))**10)**(-31) assuming d is positive.\nAnswer: d**26040","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 + (-69)\/11 + 144 + -137. Which is the biggest value?  (a) 0.5  (b) -0.3  (c) 7  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 130808952.\nAnswer: 2, 3, 605597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 204285 a multiple of 867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a = 5*s - 8, 4*s + 3*a = 2*a + 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/((s*s\/(s*s**(-3)))\/s))**(2\/55))**(-42))**(-2\/81) assuming s is positive.\nAnswer: s**(-112\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r + 97 + 191. What is the remainder when 38 is divided by 24 - ((-1)\/(-4))\/(9\/r)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46 is divided by 43.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*m - 4*m**3 - 2*m + 0*m**3 + 3*m**3 to the form i + u*m + p*m**3 + w*m**2 and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 102, 100, 86, 54, -2, -88, -210, -374?\n\"Answer: -m**3 + 5*m + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 107129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3 + 1 + 5\/1. Let r(u) = -2*u**3 + 0 + u**v - 13*u**2 + 2. What is the remainder when 7 is divided by r(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -12*a**3 - 3*a**2 + 148*a + 2124. Is x(-15) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1294444*d**2 - 438*d**3 + 1294444*d**2.\nAnswer: -438*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((2 - 2)\/(-2))\/2. Suppose s*n + n - r = 33, 0 = -2*r + 8. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hjwcwlp. What is prob of sequence pjwl?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1027 - -1493. Let h = r + -1921\/4. Calculate the common denominator of (-344)\/60*(-3)\/(-4) and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6836977 litres to millilitres.\nAnswer: 683.6977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11821.\nAnswer: 11821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 46 and 1058?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 5, 24 in descending order.\nAnswer: 24, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 196 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in -1\/35, 14, 1, -130, -2, 0, -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 30 = -12*d. Which is the nearest to -3?  (a) d  (b) -0.1  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -66 - 847331.\nAnswer: -847397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -415*t - 52*t**2 + 46*t**2 + 411*t.\nAnswer: -6*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 5, b: 1, w: 5}. Give prob of sequence nwb.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -20179 at most as big as -20179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + -11 + 5 - -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 5 = -4*a, -8 - 17 = -5*y. Factor -1\/5*o**3 + 2\/5 + 3\/5*o + a*o**2.\nAnswer: -(o - 2)*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (0 - 2) + 1 + 158 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in thirteen fifths of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 82, 113, 130, 127, 98, 37?\n\"Answer: -x**3 - x**2 + 41*x + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -34167, -68175, -102183?\nAnswer: -136191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 3, 7 in ascending order.\nAnswer: -10, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**2. Let t(w) = 3*w**2. Let x be 3 - (-84)\/(-5) - (14 - 2)\/60. What is x*h(j) - 4*t(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1659618 divided by -1?\nAnswer: 1659618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 + 10. Let q be 8\/g + 1 + 36. Let v(x) = -76*x - 341. Let s be v(-5). Is s > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -279755*x + 752 = -279771*x for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -312, 39, -3, 2, 7, 1 in decreasing order.\nAnswer: 39, 7, 2, 1, -3, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 - 3. Let h = 6 + -2. What is the remainder when h is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 89, -8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4564347 and 13693041.\nAnswer: 13693041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -70.9999817 + 71. Round a to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -7*b**2 + 481*b - 4315. Calculate m(58).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 5*t**3 + 143*t**2 - 330*t - 19504. Give w(-25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -52814\/3 + 17605. Let u be (-3)\/12 + 1\/(-28). What is the nearest to u in c, -14\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1021 - 22?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -148*z - 133. Determine i(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 0) + 5 - (-2)\/42*-161.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 183670 and 55?\nAnswer: 2020370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8.58 - -375.42. Let j = l - 383. Which is the second smallest value?  (a) 80  (b) j  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1  (b) -1\/2  (c) -1\/4  (d) -8  (e) 18551\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 19834696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**2 - 5*h + 4. Let o be i(3). Let p be (0 + -8)\/(o + 0). Suppose -4*b - 3*g + p*g = -16, -2*g - 4 = -b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 3*l - 4 = 0, -14 = -5*r - l + 6. Let b be (-9)\/3 - -3*1. Suppose 4*p - 36 = -b*p. Solve r*m - p = 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -22*t**2 - 59*t**2 - 4 + 4 - 13*t**2 + 2. Let f(x) = 3*x. Determine f(q(i)).\nAnswer: -282*i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:25 AM and 10:50 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o + 2*a - 19, 2*o - o + a - 5 = 0. Suppose -5 = b - o, 0 = -q + 2*b + 115. Suppose h = 3*z - 212, -3*z - 3*h = -q - 117. Is z a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f + 25, 0*h - 4*f = -4*h + 28. Suppose y - h*y + 38 = 0. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1415 + 2?\nAnswer: 1417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 98534842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1019421 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 9603 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 597  (b) 0.4  (c) 1  (d) -1\/27  (e) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 364905*t**6 - 384*t**3 + 506578656*t**2 + 2*t?\nAnswer: 43788600*t**3 - 2304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 19 = 4*x, -19 = -11*x + 2*r + 37. Sort -3, -4, 9, 0, x in increasing order.\nAnswer: -4, -3, 0, x, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -432773\/45 + 9618. What is the common denominator of 17\/15 and q?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(833) + 0 - sqrt(833))**2*1 + (1*sqrt(272) - sqrt(17) - (sqrt(68) + 0))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c**2 + 1754*c**3 + 145*c**3 + c**2 - 37*c**3)*(2 - 3 - 1).\nAnswer: -3724*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 8, f: 3}. Give prob of sequence fffq.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve s**4 + 9152*s**3 + 21687543*s**2 + 3391415080*s + 3369736688 = 0.\nAnswer: -4492, -167, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 - (1490\/80 + -10))*(-12)\/42.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -4. Let v = u + -1.8. What is the second biggest value in v, -0.2, -3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -7*j**3*o - 199*j**3 + 2*j*o wrt o?\nAnswer: -7*j**3 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 202139 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -361064402*z**4 + 85133402 wrt z.\nAnswer: -1444257608*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 56, 99, 144, 191, 240?\n\"Answer: f**2 + 40*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) -3  (c) 2\/61  (d) -1\/4  (e) -4  (f) 32.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 25*f**2 - 4*f - 3. Let b be c(-1). Let t = -19 + b. Solve -t*u + 2*u = 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:17 AM and 12:15 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b - 18 + 146 = 3*p, b + 188 = 2*b - p + 228 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange s**2 - s**2 - s**2 + (-2*s + 5*s - s)*(2*s - s - 3*s) + 393*s**2 + 6462 - 6462 to r*s**2 + g*s + q and give r.\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 216 plus 0.1438?\nAnswer: 216.1438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, 305, -2, -0.2, 72?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13925751, -13925749, -13925747, -13925745?\nAnswer: -13925743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 45 and 471348.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -3*a + 2*a + 19768. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 1. Let v be ((-1)\/(-1))\/((-3)\/30). Let n = -8 - v. Let t(r) = -2*r**2 - 1. Calculate n*h(d) + t(d).\nAnswer: -2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101110011001101011 - 11000011111?\nAnswer: 101110000001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 5*t + 6 = 0, q - 48 = -t - 52. Let m be 2*(-3)\/(4 + 2). Suppose 3*c - c = -4*p - 42, 0 = 3*c - 2*p + 95. Put m, -4, c, q in descending order.\nAnswer: m, q, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 40 + -36. Is b <= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*t**2 - 2*t**2 - 5*t**2 + (5*t + t - 4*t)*(2*t - 3*t + 4*t) + 2*t**2 - t + t + 5*t + 0*t**2 + 3*t**2 - 5*t**2 + 1 + (-6*t - 7*t - t)*(3*t - 4*t + 0*t).\nAnswer: 18*t**2 + 5*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -921 + 904. Which is smaller: -101 or z?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12323 - -12314.9968. Let w = p - -0.0032. Which is the second smallest value?  (a) w  (b) 2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17109 is divided by 248.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 400546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (40\/6)\/4*(-3960)\/(-5500). Let n(c) be the first derivative of -1\/15*c**3 + p*c - 12 + 1\/10*c**2. Factor n(k).\nAnswer: -(k - 3)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * -0.188\nAnswer: -0.0564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(sqrt(270)*2 + sqrt(270) + sqrt(270) + sqrt(270)))\/(sqrt(1210) - -3*sqrt(1210)))\/((sqrt(324) - 1*sqrt(324) - 1*sqrt(729))*-4).\nAnswer: -25*sqrt(3)\/1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - 116?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 5*o - 5, 7*o = 4*o + q + 7. Let b be o\/(-6) + 8\/(-12). Let s be ((1 - -41)*b)\/(-1). What is the highest common factor of 21 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from qqxxqqxxqqxqqxxxp.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -11229 (base 12) in base 6?\nAnswer: -253253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zqdwzhqzqqccqwdzdqqz. What is prob of picking 1 h, 2 d, and 1 q?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(156)\/(1*sqrt(192)).\nAnswer: sqrt(13)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -0.5, 11\/64, 0.19, 0.15.\nAnswer: -0.5, 0.15, 11\/64, 0.19, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 10*g - 282 + 125 + 111 + 96. What is z(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -12*s - 2 - 58 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(16\/186)*916\/1374\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 5*i**2 + i. Let s be a(-1). Suppose 0 = 4*b, v = s*v + 4*b - 681. Suppose 0 = 4*r + 5*t - 94 - v, 5*r - 385 = -3*t. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9420 divided by -2355?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the second derivative of g**4\/12 + 7*g**3\/6 - 2*g**2 + 2*g. Let w be x(-8). Solve 16\/5*s**3 + 2\/5*s**2 - 4\/5*s + 2*s**w + 0 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6155 = 446*h + 4995 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(12) - sqrt(3)) - (sqrt(12) + 1) - (1 + (-2 + sqrt(3)*2 + sqrt(3))**2)) + -5.\nAnswer: -38 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6381 = -4*w + 17649. Let u = -17183 - w. Round u to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of a**2*j**4 - 276*a**2*j**3 - 3*a**2*j + 23*j**4 + 10*j**2 - 4987*j wrt j?\nAnswer: 24*a**2*j - 1656*a**2 + 552*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/6, -1\/4, -1, 1\/70?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -32*q + 4955598 - 145582. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 2*y + 20. What is q(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1100 (base 2) in base 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes before 5:30 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85944787.\nAnswer: 6101, 14087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**15*i*i*i\/(i\/(i\/(i\/i**(-2\/37)*i*i)))*i*(i\/((i\/(i\/((i\/(((i\/i**(7\/4))\/i)\/i))\/i)*i*i*i))\/i))**(-36) assuming i is positive.\nAnswer: i**(-2407\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -18*a + 480. Give d(29).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1922795 and 315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 5*q**2 - 133*q + 206. Give m(25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-135)\/(-35))\/9*(-2)\/(-4)*7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 - 3. Let v = -27676 + 4760303\/172. Let b = v - -3\/43. What is the closest to 1\/4 in l, b, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, s: 1, j: 1, q: 1, l: 1}. Give prob of sequence slj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/(1*(0 + 1)). Let z(x) = 3*x**2 - 4*x**3 + 2*x**3 + 3*x**f + 0*x**3 - x + 3. Calculate z(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 58.1 - -5.9. Let p = 89 - w. Let m = p - 26. What is the closest to -1 in -6, m, 2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 4*z**2 + 25*z + 7. Let k be q(-5). Calculate the least common multiple of k\/(-6)*(3 + 0) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 33\/20 + 26\/(-65) + -1. Let u = -3.2 + 3. Which is the nearest to -0.5?  (a) 5  (b) u  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8959*g**2 + 4481*g**2 + 5 - 5 + 4482*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -103*q + 34*q**2 - 1 + 1 - 84*q. Let p(t) = 168*t**2 - 935*t. Let c(l) = -11*b(l) + 2*p(l). Find the second derivative of c(k) wrt k.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39375 = -1431*z + 10755 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -2*n + 8. Let k(m) = 11*m - 47. Let r be 2*-270 + 2 - -3. Let z = r - -541. Determine z*k(b) + 34*t(b).\nAnswer: -2*b - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 886\/9, 0.1, -3, -2\/7, 4, 5.\nAnswer: -3, -2\/7, 0.1, 4, 5, 886\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 - 0 - (8 - 10). Let w be k + ((-1)\/(-2) - 2). Let y = 1\/30 + -41\/30. What is the closest to -0.1 in y, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 5*c**4 + 31*c**3 - 11*c**2 + 3*c. Let s(x) = -x**4 + x**3 + x**2 + x. Let u(d) = q(d) + 4*s(d). What is the third derivative of u(f) wrt f?\nAnswer: 24*f + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - (-15 + 11) - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 365*m + 23 = 388*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/11, -1\/6, 2\/23, -3, -27 in increasing order.\nAnswer: -27, -3, -1\/6, -1\/11, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/18 + (-1200)\/(-54). Let u(x) = x**2 - 10*x + 34. What is the tens digit of u(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4235100*j**5 + 1887828*j**2 wrt j?\nAnswer: 254106000*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 2 p, and 1 a when four letters picked without replacement from gkppakmr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**3 + 54*z**2 + 426*z - 20394. What is h(55)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13*(-28)\/546)\/(1*(-3)\/18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u = 917*c - 915*c + 8, 4*c + 13 = 5*u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -10001001010100010 (base 2) in base 16?\nAnswer: -112a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 35 - ec7?\nAnswer: -e92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-46335)\/(-5) - (11 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5086921 and 32431.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -370  (b) 4  (c) -0.7  (d) 1.1  (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(-28)\/(-186)*-16*93\/3472.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 9*q**2 - 5*q + 15. Let a(s) = -5*s**2 + 3*s - 8. Give -5*a(m) - 3*c(m).\nAnswer: -2*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 48 in 0.12, 7, 2\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((-2*sqrt(192) + 4 - sqrt(192))*5)**2 + 0.\nAnswer: -4800*sqrt(3) + 43600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -141 and -2593.\nAnswer: -2734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1533\/584 - 6\/(-16). Factor 13\/3*n**4 + 3*n**g - 1\/3*n**2 + 5\/3*n**5 - 2\/3*n + 0.\nAnswer: n*(n + 1)**3*(5*n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 + 1 + -189 + 212?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 80427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 214 + -208. Let g(o) = 11*o**2 - 17*o**2 - 6*o + q*o. Let y(t) = -t + 2*t - 3*t. What is y(g(c))?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -0.9815, -0.1, -3, 2\/5 in decreasing order.\nAnswer: 0.5, 2\/5, -0.1, -0.9815, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 6*-6.6\nAnswer: -39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 7*n - 3 - 3*n**2 - 7 + 4*n**2. Let m be k(-8). Let l be ((-4)\/(-6))\/(m\/3). Which is greater: l or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -186, 3, 2\/7, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -269737, -269768, -269811, -269872, -269957, -270072, -270223, -270416?\nAnswer: -270657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 23995\/3 + -5238909\/655. Let v = x - 772\/13755. Let r = 1\/7 - v. What is the third biggest value in -0.1, 4, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 4*c - 62 = -5*n, 0 = 5*c - 5*n - 120. Suppose -c*k + 22*k = -216. Let g = -48 + k. Calculate the greatest common divisor of g and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the second derivative of -w**5\/50 + 7*w**4\/15 - 19*w**3\/5 + 72*w**2\/5 + 111*w. Factor j(m).\nAnswer: -2*(m - 8)*(m - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2*(-1)\/(-8))\/(16\/32)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 PM and 12:34 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 2, p: 1, f: 1, n: 5}. Give prob of sequence naap.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -2*j**3 + 13*j**2 + 10*j - 6. Give x(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 337 - t**2 - 337. Let d(m) = -126*m**2. What is j(d(h))?\nAnswer: -15876*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(60)*-1 + sqrt(60))*-5)\/((sqrt(84)*-3)\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*k + 19 = d, -3*d - 26*k = 20*k - 47*k - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/3)\/((-9)\/18)*943\/(-3772).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxxssxssss. What is prob of picking 2 x and 2 s?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 338635526 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 50497  (b) 7\/18  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.0373 and -0.41012.\nAnswer: -0.015297476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3497, 6738, 9873, 12914, 15873, 18762?\nAnswer: 21593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from qqccqqqccqqqcq.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 - (2 - 2)) + 18. Let l = -599 + 675. What is the greatest common factor of q and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/3517626 and -31\/19222.\nAnswer: 3517626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**2 + 32*i - 104. Let h be y(4). Suppose h*k - 109 = 43. Solve 8*u = 3*u - 3*r + k, 2*u - 4*r = -8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-804))\/((-1)\/(-18)*3*(-2496)\/1664)?\nAnswer: -2\/201","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1864*t - 435 = 1849*t for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/16 and 43\/17975?\nAnswer: 287600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 33494504 by 379.\nAnswer: 88376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -13, -28, -43, -58?\n\"Answer: -15*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -575 < -2.45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 232  (b) 1  (c) -2\/877  (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 870292.2ml in litres?\nAnswer: 870.2922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**2 - 174*n + 1641. Let i be a(10). Solve 11 = 6*r - i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -23*g + 10. List the prime factors of m(-6).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*y + 39 = 258 + 243. What is the smallest common multiple of 101 and y?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + -7 + (29 - 17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that 12*c**5\/7 + 96063*c**4\/7 - 456537*c**3\/7 + 264342*c**2\/7 + 96120*c\/7 = 0.\nAnswer: -8010, -1\/4, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 5*n - 3*n. Let r = -26 + 48. Calculate the remainder when r is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 70405*p - 2236. Is c(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -242*s + 247*s - 30 = -5*y, y - 2*s = 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -551*b - 573*b + 1120*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -c - 10, z - 5*z - 4 = -2*c. Suppose -75 = -c*h + 5*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 581 (base 10) to base 4.\nAnswer: 21011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1ac9 (base 13) in base 9?\nAnswer: -5502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 4099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 11*l. Let m(b) = -4*b**2. Determine m(s(r)).\nAnswer: -484*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*n + 17*n + 24 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 586501.6 centuries?\nAnswer: 58650.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6944316*x**2 + 2371907*x?\nAnswer: 13888632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b - 89 + 2616 = 0. Let t = b - -529. Calculate the highest common divisor of t and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -513237 by 3.\nAnswer: -171079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/37 in -125, -2, 1, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(405) + 1) - (-1*sqrt(405) + 5)) + 5*(sqrt(245)*-2 + 3)*-1.\nAnswer: -15 + 124*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 1 - 2)*(-2 + w + 2)*(-4 - 3 + 6)*(15*w**2 + 42*w - 42*w) as f + y*w + i*w**2 + o*w**3 and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1456 a factor of 1091467216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*l - 268 - 171 = 233 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -2*m**3 + 46*m**2 - 5*m + 91. What is u(23)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 + (1 - 6) - (-3 - -6)) + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes after 8:13 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 408378653?\nAnswer: 101, 4043353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9634637.\nAnswer: 9634637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6*(5\/((-40)\/(-8)))\/(-1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(275) + (sqrt(275) + -3)**2)*4 - sqrt(275).\nAnswer: -105*sqrt(11) + 1136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7, 2, -3, -8, -13, -18?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(1377) + -2*sqrt(1377) + 4))**2 + -2 + 2*-1*sqrt(1088) + 5.\nAnswer: -664*sqrt(17) + 12540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 103896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -206, -642, -1306, -2198, -3318, -4666, -6242?\n\"Answer: -114*x**2 - 94*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**2 - 52*v + 148. What is r(-55)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2200)*1)\/(sqrt(4)\/sqrt(2)*-4).\nAnswer: -5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 2, g: 1, j: 1, n: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3854 - -3859. Which is the fourth biggest value?  (a) 10  (b) z  (c) -0.3  (d) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 623, 2515, 5673, 10097, 15787, 22743, 30965?\n\"Answer: 633*i**2 - 7*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 99191, 198389, 297587?\nAnswer: 396785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**2\/5 - 12931*h\/5 + 77622\/5.\nAnswer: -(h - 6)*(h + 12937)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8279 - -99455\/12. Let k = 65867\/2949 + -2\/983. Find the common denominator of k and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 a factor of (14 + -86)*9\/12*-18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -4*a**2. Let v(r) = -2*r + 94. Calculate i(v(n)).\nAnswer: -16*n**2 + 1504*n - 35344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 329317343.\nAnswer: 229, 1438067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 808645049 to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/14)\/(((-24)\/(-8))\/60)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 9033827 (base 10) in base 4?\nAnswer: 202131201203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00616 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 32744132 (base 8) in base 11?\nAnswer: 3a95023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10.214 * 0.2.\nAnswer: 2.0428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7 + 68. Let k(o) = 2*o**2 + 10*o + 2. Let u be k(-7). Let d = x - u. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the third derivative of k**6\/840 - 2*k**5\/105 + 5*k**4\/168 + k**3\/3 - 51*k**2. Factor u(d).\nAnswer: (d - 7)*(d - 2)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -28*z**2 + 4. Let h(r) = 27*r**2 - 3. Suppose -155*i + 337 + 136 = -457. Calculate i*c(p) + 8*h(p).\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*i + 4*i + 20. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (12\/388)\/(3\/(-2)). Is 1 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 14*u - 15. Let s be -1*(-5)\/(5\/6) - -1. What is the remainder when t(s) is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4518 - 118?\nAnswer: -4637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 14*g*r - g*s + r**2*s - 3*r**2 - 1695 wrt r.\nAnswer: 14*g + 2*r*s - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 167?  (a) 0  (b) -183.4  (c) 4  (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6633247kg in grams?\nAnswer: 663.3247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 5589234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (54\/105)\/(2925\/966). Let h = l + -2\/125. Factor 0*a**2 - 8\/13*a**3 + 0 - 8\/13*a**4 - h*a**5 + 0*a.\nAnswer: -2*a**3*(a + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -175 = -6*q + 161. Let l = 58 - q. Let s(k) = -3*k - 1. Give s(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 25*u**2 - 1 + 39*u**2 - 70*u**4 - 41*u**2 wrt u.\nAnswer: -1680*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the second derivative of -125*d**7\/231 + 70*d**6\/33 + 4*d**5\/11 - 184*d**4\/33 - 208*d**3\/33 - 32*d**2\/11 - 3*d. Factor l(m).\nAnswer: -2*(m - 2)**2*(5*m + 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2 or -51640?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30591 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the third derivative of -2*h**2 + 0 + 7\/24*h**4 + 0*h**5 + 0*h - 1\/40*h**6 + 0*h**3. Find the second derivative of j(l) wrt l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 48*k**3*t*y + 225*k**3*y - 10*k*y - 62*t*y with respect to t.\nAnswer: 48*k**3*y - 62*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -88959 (base 11) to base 8\nAnswer: -373641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13.3 - -0.3. Let c = y + 10. Let v = 9\/2 + -4. What is the third smallest value in -0.3, v, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10234269, 20468532, 30702795?\nAnswer: 40937058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) -0.27  (b) -3  (c) -61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 - 13. Let p(q) = 39*q + 44*q + 39*q - 123*q + 2 - 7. What is p(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2030 = 187*i - 319*i + 190*i for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10\/7 + -8\/7. Suppose -32 = -9*j + 5*j. Let b be j\/4 - 4\/(-2). What is the biggest value in 0, g, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 3*w**3 - 7*w**2 + 4*w - 5. Let d(q) = q**3 - 2*q**2 + q - 2. Let b(k) = 17*d(k) - 6*j(k). Give b(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -18567, -37141, -55725, -74319, -92923, -111537?\n\"Answer: -5*s**2 - 18559*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -18 in -0.2, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.03 in -11, 3.13, 2\/5, -2.3, -0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.14 + -4.86. Let r = 0 + 1. What is the nearest to r in i, 2, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/6)\/(-9 - 762\/(-84)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the second derivative of x**5\/10 - 13*x**4\/12 - 8*x**3\/3 - x**2 - 6*x. List the prime factors of j(11).\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/20 - (-174900)\/(-1200)*2\/(-5)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 3544058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-10\/3)\/t)\/t*t**1)\/((t\/t**(2\/13)*t*t)\/t**(-14\/5)) assuming t is positive.\nAnswer: t**(-1946\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-66)\/55*2\/(-3)*5. Let u be -5*(-2)\/10*2. Solve x = 3*x + 5*o + u, 0 = 4*x + z*o + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -2*x**2. Let o(t) = -8185*t**2 + 45*t - 1. Determine o(f(u)).\nAnswer: -32740*u**4 - 90*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 397872 is divided by 2173?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 smaller than -30\/3949879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 17 divided by 24\nAnswer: 17\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 360282.\nAnswer: 2, 3, 13, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -2*g**2 + 6*g + 17. Let s(h) = -8*h**2 + 22*h + 69. Let t(a) = 6*s(a) - 26*v(a). Factor t(n).\nAnswer: 4*(n - 7)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.1, 5, -2\/21, 4, -218?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*v**6 - 22*v**3 + 17*v**2 + 2*v**6 - 18*v**3 + 35*v**3 wrt v.\nAnswer: -360*v**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*t - 896 - 518 = -205 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes before 3:47 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 542, 524, 482, 404, 278, 92, -166, -508?\n\"Answer: -2*u**3 - 4*u + 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 4*i + 13 = 0, i + 4 = f - 0*f. Let z be 27 - -3 - (f - -2). What is the common denominator of 23\/8 and (-35)\/(-150)*(0 + z)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0\/(0 - (-3)\/3). Let t = c - -12. Let g = -50 - -63. Which is smaller: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 42941458 and 42941459 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than 62\/29608727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 - (3 + -10 - -27)) + -10 + 18.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/2  (b) 0.01  (c) 2  (d) -0.4  (e) 47\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49159.\nAnswer: 11, 41, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 13.2676281 rounded to 3 decimal places?\nAnswer: 13.268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 14\/(-56) + 1\/4. Suppose 4*u + 6 - 26 = q. Solve -2*d + 7*d = u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 42273 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**3 - 5*f**2 - f + 9. Let b be h(5). Suppose 0 = b*l - 8*l - 60. Let t be (-25)\/(-2)*(96\/l)\/4. Is -21 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 180 divide 2498040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 127575 and 54675?\nAnswer: 382725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4434 and 489.\nAnswer: 722742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1697 less than -604903.3?\nAnswer: -606600.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -18, -2, 2, -5, -27 in descending order.\nAnswer: 2, -2, -4, -5, -18, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 20546973914 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2093214342.\nAnswer: 2, 3, 10133, 34429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 24\/4 - 1*2. Let n be ((-1)\/12)\/(r\/18). Let s be (-4)\/(0 + -4) - 3. Sort s, -3, n in descending order.\nAnswer: n, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30534405 (base 6) to base 8.\nAnswer: 3275605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-733)\/(-5))\/(5*(-4)\/(-100))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -c48c (base 13) in base 6?\nAnswer: -325420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**2 - 4*h - 1. Let v be s(7). Suppose 3*l - 174 = 159. Let k = v + l. What is the remainder when k is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26502 = 418*f + 59*f + 11910 + 16920 for f.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 divided by 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (682 - n**2 - 682 - n)*(-273 + 273 - 282*n) to k*n**3 + b*n**2 + z*n + w and give k.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 36116 - 36112. Let c(b) be the first derivative of 19\/2*b**2 + 4*b**j - 17 + 0*b**3 + 0*b. What is the second derivative of c(q) wrt q?\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 4 = 3*c - 6, 3*c + 4 = 2*u. Suppose 40 = u*q - 14. What is the highest common divisor of q and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**2 - 6*p + 4. Let m be b(-6). Suppose 14*o - 28*o + 616 = 0. Suppose o*g - 7 = 51*g. What is the nearest to -3 in m, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/((((g**(-21)*g*g)\/g)\/g)\/g*g)*g*g\/(g*g\/(g**(4\/5)*g)))**(-3) assuming g is positive.\nAnswer: g**(-357\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 2*h + 6. Calculate the smallest common multiple of v(3) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 38698 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = -26*n + 19*n. Let t be 67 + (n - 10) + (0 - 0). Suppose -96 = -3*v - 3*f + t, 0 = -4*v + f + 237. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 21 = -4*z. Let b = z - 2. What is the units digit of -1 + b - (-3 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 154217 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 479 equal to 71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 447 divide 121663762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1154 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -3, 0.3, 13\/3, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.07327 and 0.237.\nAnswer: 0.01736499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 873 - 870 = i, 2*n - 62289985 = 5*i. Round n to the nearest 100000.\nAnswer: 31100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 114 = -5*k, 5*k - 3*b = 2*k + 78. Solve -29*j + 5 = -k*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -147 + 245\/2. What is the common denominator of 79\/914 and r?\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 6023 + 11?\nAnswer: 6034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 210, 712, 1220, 1740, 2278, 2840?\nAnswer: 3432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 146442 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 10\/(-15)*(-6 + 0). Find the second derivative of 0*i**4 - 3*i + 2*i**4 - i**q wrt i.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 248864 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 21\/14*(-1 - 21\/(-9)). Suppose -h + 30 = m*x, x + 21 = h - 0*h. Calculate the highest common factor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 32 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 592 and 530480?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 55656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - m + 1 + m**2 + 6*m**2)*(3 - 8*m - 3).\nAnswer: -56*m**3 + 8*m**2 - 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/16 of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -218 divided by -957?\nAnswer: 218\/957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/11552 and 89\/1368?\nAnswer: 103968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2470*t + t**3 - 2459*t + 1 + 2*t**2 - t**2 + 2*t**3 - 2*t**3 - t**3 + (-2*t**3 - t + t)*(-1 - 2 + 1) + t - t + 2*t**3.\nAnswer: 6*t**3 + t**2 + 11*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 2)*(-1 + 1 - 2*p) + (-3*p + 3*p + 2*p)*(-3 + 3 - 2) + 13*p - 24*p - 26*p + (2 - 2 + 1)*(3*p - 5*p - 4*p).\nAnswer: -49*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fldfclcdlddfddlfll. What is prob of sequence cdc?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10617*w**5 - 7706*w**2 wrt w?\nAnswer: -637020*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 692 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11202 - 11216. Let f(x) = 9*x + 62. What is f(q)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t - 0*t - 6. Solve -5*j + t*j = -15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 45 (base 16) to base 12\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:23 AM and 12:59 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - a - 3 = 0, 3*a - 12 = -2*c - a. Let z(o) = o**3 + 6*o**2 + 7*o + 1. Let x be z(-5). Let h = c - x. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 3 + 19 = 0. Let q(h) = h**3 + 8*h**2 - 15*h - 48. What is the lowest common multiple of q(-9) and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -49, 0, -22, 5 in ascending order.\nAnswer: -49, -22, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -1. Let v(j) = j**2 + 5*j - 5. Let o(s) = v(s) - 4*z(s). Determine o(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -6*l - 5. Let k(u) = u. What is 4*k(b) + n(b)?\nAnswer: -2*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 18 = m - 5*l, -5*m + 5*l = -50. Let a be 11\/(11\/m) + 5. Solve 2*r = -4*q - 14, -2*q + a = -6*r + 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8315 + 8314.56. What is the nearest to 0.1 in -3\/2, 5, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (1892\/(-176))\/((-1)\/4304) + (2 - 4) a multiple of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 7\/4 of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*f**3 + 8*f**3 - 4*f**3)*(4*f - 3*f + 2*f)*(-31*f - 22*f - 19*f)*(-1 - 1 + 0).\nAnswer: 4320*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -480969\/1268 or -380?\nAnswer: -480969\/1268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-10)\/70 + 2\/14. Is (187 - 0) + a + 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 11 + 161. Suppose 5*k - 52 = -2*r + k, -2*r + 5*k + y = 0. Let c be (-2)\/(-3) + 80\/r. Solve 1 = i + c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/11270 and -41\/68568?\nAnswer: 386380680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xxxxxxxxxxjxx.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2761347450 - 249988450 = -17*w. Round w to the nearest 1000000.\nAnswer: -148000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1075013?\nAnswer: 1075013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14.974 + -0.174. Round s to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.322 + 0.178. Which is the closest to -1\/25?  (a) -0.4  (b) 5  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d - 6*d + 3*d + 1. Let f be a(8). Let t be ((-18)\/f)\/(4\/10). What is the greatest common divisor of 24 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 31 - 29. Is s - -53*(9 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 26 + -29 - (-3 + (11 - 1) + 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ssssssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 2218*v**2 - 2*v**3 + 14*v**4 + 2 + 3*v**3 - v**3 - 2219*v**2 - 42*v in the form t*v + c*v**2 + s*v**4 + k + m*v**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4373316?\nAnswer: 2, 3, 29, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 12 = -t, 5*y - 1 = -t + 23. Suppose -3*o + 2*v + 2 = -2, t*o = v + 2. Suppose 5*i = 4 + 1. Which is smaller: o or i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -3*h - 2*p + 30, -5*p + 75 = 5*h. Let g = 8 + 0. Calculate the remainder when h is divided by (g\/12)\/((-4)\/(-42)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -23886 equal to 0.059?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 4*z - z + 40 = 0, -4*x = 5*z + 77. Let r(y) = -y + 2. Let d be r(x). Solve 4*u + d = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -123 in -140, 0.3, -0.01, 0?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from iiiiipiiiiiiiiiiiip?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 15*i - 3 + 3)*(15*i - 15*i - 5*i**3) to the form w + l*i**2 + j*i**4 + q*i**3 + o*i and give j.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*m**0)\/m)**(-9))**(-4\/9) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2303.55 rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 604.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1263 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 67034.04l to millilitres.\nAnswer: 67034040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -27*g**4\/8 - 2073*g**3\/8 - 2793*g**2\/4 - 663*g\/2 + 111 = 0?\nAnswer: -74, -2, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - i = -86, u - 19*i + 18*i - 37 = 0. Calculate the remainder when u is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1254695801 divided by 1.\nAnswer: 1254695801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (2 + sqrt(684))**2 + 4 - (sqrt(684) + (2 + sqrt(684) + -1 + sqrt(684))**2 + -4))*-4.\nAnswer: 24*sqrt(19) + 8156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 h when two letters picked without replacement from {h: 7, p: 2, b: 2, z: 3, o: 1, g: 5}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 63 + 245*u - 248*u + 0 in the form c + j*u and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4640281547?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1794, 49, 3, 10.\nAnswer: -1794, 3, 10, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the second derivative of -7*l**3\/6 - 21*l**2\/2 + 2*l. Let w(q) = 11*q + 32. Let o be (-329)\/(-35) + (-28)\/20. Calculate o*r(i) + 5*w(i).\nAnswer: -i - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 + -13. Let y(n) = 2*n**3 + 15*n**2 + 13*n - 5. Let r(d) = -d**3 - 7*d**2 - 6*d + 2. Let l(m) = 5*r(m) + 2*y(m). List the prime factors of l(p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 689\/8 - 86. Suppose 5*x = 8 + 12. Put 3, x, a in ascending order.\nAnswer: a, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18982?\nAnswer: 2, 9491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 95390*r**2 + 4. Let g(i) = -14*i. What is v(g(l))?\nAnswer: 18696440*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (908850\/2200)\/(-249) + (0 - 33\/(-12))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 101 - 106. Let o be -1 + j\/(-15) + 348\/513. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 4*g - 3 = g, 0 = p - 3*g - 15. Let y(o) = -5*o - 1. Let d be y(-1). Let s = d + p. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t + 11*t**2 - 9*t**2 - 7*t**2)*(2 - 7 + 0)*(4 + 2*t - 4)*(4 - 2 - 1).\nAnswer: 50*t**3 - 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the first derivative of s**3\/6 + 2*s + 8. Let l(r) be the first derivative of p(r). Give l(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 627 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 710751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f - 16600 = 4*f - k, 3*k = -12. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -722977 + 724083 = -158*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-40)\/(-48))\/((-4)\/(-24)). Find m, given that m**3 + 19*m - 10*m**2 - c*m**3 - m**3 - 4*m = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -181, -183, -185?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x*x*x\/(x\/(x**(-1\/14)\/x))*x*x)**7\/(x**(-1\/20)*x**2\/x) assuming x is positive.\nAnswer: x**(531\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 32002, 64003, 96004?\nAnswer: 128005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1350\/(-2052))\/(7584\/304 - 25).\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -3*d**3 - d**2 - 2*d + 5. Let w be b(-3). Let j = w - 81. Solve -t + 4*u = -3*t, 0 = j*t - 2*u + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -174017\/166668 + -1\/41667. Find the common denominator of f and -53\/48.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1102233 (base 4) in base 14?\nAnswer: -1d03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 670948765 to the nearest integer?\nAnswer: 25903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41410 is divided by 2546.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.76 + -3.597. What is o rounded to 2 decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuxuuxuuhxexuxuex. What is prob of picking 2 u and 1 h?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 24*k + 1058. Let q be c(-44). Solve 4 = -3*p + 2*f, -q*f + 6 = -2*p + 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*b*b**(-7)*b)*b\/(b\/(b\/(b**20\/b))))\/((b\/(b*b**(-18)))\/(b*b**(-5\/8)*b)) assuming b is positive.\nAnswer: b**(-237\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -163\/2  (b) -0.03  (c) -5  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -640518 - -5124183\/8. Factor 165\/8*l + 3\/8*l**3 + 225\/8 + m*l**2.\nAnswer: 3*(l + 3)*(l + 5)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 2*y - 8. Suppose -x = -0*x - y. Let w be ((-2)\/(x + 0))\/1. Which is the nearest to 2?  (a) w  (b) -1\/7  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**2 - 111054114*n + 1027751353027083.\nAnswer: 3*(n - 18509019)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, h: 1, f: 1, k: 1, i: 2, x: 2}. Give prob of picking 1 k and 1 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 10*q. Suppose q*j = -j + 12. Let h = -13 + j. Which is bigger: -1\/4 or h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/17640 and -83\/84756.\nAnswer: 17798760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -47836 less than -47835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:38 AM and 4:28 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 227220 is divided by 9878.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-10))\/((6\/10)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11938 is divided by 1677?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -40 - -39.9. Let f = 0.4 + -0.3. What is the nearest to s in 0.5, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 1106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*(l*l**(1\/27))\/l)\/l)**(-11\/2)\/((l\/l**(-9))\/l**(-3\/4)) assuming l is positive.\nAnswer: l**(-1183\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 32521 (base 6) in base 3?\nAnswer: 20012011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*m - 5*m - m - 216*m**2 + 11*m as k*m + p + v*m**2 and give v.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 1237  (b) 2\/9  (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 48257855 by 311341.\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*r**2 - 10 - 17*r**2 + 10 as d + u*r**2 + x*r and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**2 + 11*d + 11. What is m(10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 1, p = u + u - 3. Let v(r) = r**3 - 7*r**3 + 3 - 2. Determine v(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/5 and -47\/14233.\nAnswer: 71165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 111068159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the third derivative of m**6\/270 + 2*m**5\/135 - 7*m**4\/54 + 8*m**3\/27 - 5*m**2 + 20*m. Factor r(c).\nAnswer: 4*(c - 1)**2*(c + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 248 and 28458.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 10159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 81179 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**2 + 12*g - 14. Let r be c(11). Let q = 7 + r. Find the first derivative of u**q + 6*u**4 - 6 - 3*u**4 wrt u.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7388\/(-2)*(-4 + 21 + -34).\nAnswer: 2, 17, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from roooeoromf. Give prob of sequence femr.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -23  (b) -4  (c) -0.048  (d) 141  (e) 2  (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9465145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 26, 43, 60, 77, 94, 111?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-5)\/(-8 - -3)*4. Let o be (4 + -3)\/((-1)\/1). Sort 1, h, o in increasing order.\nAnswer: o, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + ((sqrt(1872) + -1 + -4 - sqrt(1872)) + -1 - (sqrt(1872)*1 + -5 + 2)))*1)**2.\nAnswer: 192*sqrt(13) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (87785\/1629)\/((-10)\/18)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s\/(((s*(s\/(s**(-2\/11)\/s))\/s)\/s*s)\/s))**11)**(3\/17)\/(s**(-2)*s**0)**(-23) assuming s is positive.\nAnswer: s**(-755\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-two fifths of a century in years?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/4972 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -88\/15 and 7\/32?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 4*l = -373, 0*y + 376 = 5*y - 3*l. Suppose 80*r - y*r - 31923 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 97493090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.129629 and 1.8.\nAnswer: -0.2333322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2034 - 2034.3. Which is the closest to 3?  (a) -8  (b) -1  (c) -1\/6  (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25650 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2305 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-268)\/(-9) + 1 - 2\/(-9). Suppose 0 = -3*m - u*g + 28*g + 210, -4*g = 0. Calculate the greatest common factor of 14 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - 62*j = -6*j - 594 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**2 + 34*f + 284. Calculate a(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 190, 186, 182, 178?\n\"Answer: -4*j + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 345 = 5*d, 4*d + 0*d = 0. Suppose t = -2*y - t + 88, 4*y = 5*t + 185. Let l = w - y. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (1 + 0 + -5 - (5 + -2 - 34))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 213.27322270299 + -4.\nAnswer: 209.27322270299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 5, -125, -5\/8, 0.9, 0.1?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 33866055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 d when three letters picked without replacement from duduuud?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 2*c**2 + 4*c + 2. Let b be w(-2). Let r(m) = 3*m. Let f(x) = 4*x. Let o(j) = b*f(j) - 3*r(j). Let t(k) = 6*k**2. Calculate o(t(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17473, 17448, 17423?\nAnswer: 17398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88793898 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*z**3 - 8*z**3 - 3*z**3 - 13*z**3 - 31*z wrt z?\nAnswer: -126*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 1.2, 3\/4 in descending order.\nAnswer: 1.2, 3\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 66337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 2*k = -3*k + 56, -3*k - 88 = -f. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7155 and 2429520.\nAnswer: 21865680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 43\/2 of a meter?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 206, 205, 204, 203, 202, 201?\n\"Answer: -y + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 6*i + 18 = -4*z, -5*i - 3*z = -6. Let o be -1 + 2 - 2\/(-2). Solve 2*m + 0*m + 10 = 0, o*l + i*m = -15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1131)\/1885*(-15)\/(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2431 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 783.479 millennia in centuries?\nAnswer: 7834.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/2)\/((-56)\/69552*-667) + 4\/(-58)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -65 + 72. Differentiate 3 + 17 - t + 19*o with respect to o.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8.04 + 8. Let o = 1.04 + y. What is the third biggest value in 5, o, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - -0.02993288\nAnswer: 1.02993288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 - -953132?\nAnswer: 953129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -10*y**3 + 2*y**2 - 3*y + 2. Let w be o(1). What is the closest to -3 in -0.3, w, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 365 - 1599. Let m = 2277 + d. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0, -2, -15, 2, -21276 in descending order.\nAnswer: 2, 0, -1, -2, -15, -21276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b = 3*c - 34, -54 = -5*c + 73*b - 76*b for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -5.5  (b) -0.5  (c) 7  (d) -3\/7  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -265 + 380. Let l = -1262784146.99999917 - -1262784262. Let t = l - c. Round t to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 50025 and 450.9.\nAnswer: 50475.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, w: 5}. Give prob of sequence wa.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 220 and 43670?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3\/5  (b) 4  (c) -1.1  (d) -1.908  (e) -2\/27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - 4*s - 10*q = 3*s - 7*s + 211, 5*s + 89 = -4*q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2449 and 1092037.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d - 906313. Let g(i) = 106*i. Calculate g(b(j)).\nAnswer: -106*j - 96069178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -40?  (a) -4  (b) -0.5  (c) 2  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (57\/(-30) - -2)*-6. Let u = -3.255 - -4.255. What is the second smallest value in u, -2\/11, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**3 - 23*x**2 - 296*x - 4. What is the thousands digit of j(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (969\/(-5168))\/(1\/(-352))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 9) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 2*g**2 - 9*g + 11. Let z(j) = j**2 - 9*j - 7. Let i be z(7). Let s = 29 + i. Is f(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**2 - 3*j + 1. Let b(i) = -108*i + 319. Let r be b(3). Give w(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes before 12:04 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15757, -15659, -15359, -14755, -13745, -12227, -10099?\nAnswer: -7259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 529 - 526. Suppose -11 + 3 = -q - 3*a, 12 = 2*q + 4*a. Suppose 4*z - 107 = 5*w, -73 = -2*z + 4*w - 15. Solve 4*g = -o*c - 1, 0*c + z = -q*g + 3*c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from chccqhchjc. What is prob of picking 2 c?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.096 in -2\/11, 1\/6, 10, 2\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 - 1) + -1 + 0 - -2. Let 0 + 0*t**2 + 0*t**3 + f*t - 2\/5*t**4 + 2\/5*t**5 = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -220331032022 + -12?\nAnswer: -220331032100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 31320183 a multiple of 405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 3 = f - 7, -3*f = 2*a + 9. Suppose 152 = -2*v + 40*v. Let l(c) = 6*c - 5. Let r(d) = -3*d - d + 6 - 3*d. Determine a*r(y) + v*l(y).\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1224553 + 22?\nAnswer: 1225015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(640) - (sqrt(640)*-2 - sqrt(640))*4)\/((sqrt(160) - ((sqrt(160) - 2*sqrt(160)) + sqrt(160)))\/sqrt(5)).\nAnswer: 26*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3\/8, -8, 4, -2\/35, -0.3?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00525 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put together 64225 and -4.\nAnswer: 64221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the second derivative of -1053*q**4\/4 + q**3 + q**2\/2 + 595*q. What is the second derivative of s(l) wrt l?\nAnswer: -6318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/4*(-33)\/(297\/(-78)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-40)\/(-240) + 31\/(-114)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 877984 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 19 - 18.9. What is the closest to f in 2\/11, -2\/3, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**2 - 48*i - 1825.\nAnswer: (i - 73)*(i + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(275)\/(sqrt(99)\/sqrt(324))*5)\/(4*sqrt(80) + sqrt(245)*-5).\nAnswer: -30*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-38)\/209*(-110)\/(-120)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*s**5 + 9*s**5 + 54*s**3 - 51*s**3 + (3 - 6 + 0)*(-2*s - 3*s**2 + 2*s)*(s + 6*s**2 - s)*(6*s + s - 2*s).\nAnswer: 290*s**5 + 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 15 = 0, 2*x - 14 = 3*n - 11. Put -421, 0, x in descending order.\nAnswer: 0, x, -421","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -63, -301, -695, -1233, -1903, -2693?\n\"Answer: 2*t**3 - 90*t**2 + 18*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 113*w + 5*n - 3*n = -115*w + 233*w + 123, -172 = -5*w - 3*n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -4*(-1 + 2\/(-2)). Is 406\/o + (-2)\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, p: 10, d: 1, s: 1}. What is prob of sequence kpds?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(11) + -4*1*sqrt(11)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 83, 2, -4, 5 in descending order.\nAnswer: 83, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m + k + 11 - 2, -5*k = 2*m + 19. Let q be (4 + 14)*m\/(-3). Differentiate 19 - q - 11 - 9*f**4 with respect to f.\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8201*q - 15340 = -8496*q for q.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 2232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -3*(259502\/(-18) - -1)*51\/34 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 4 + 0*m**3 - 4*m**3)*(-6 + 6 - 6).\nAnswer: 24*m**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 229063657 to the nearest integer?\nAnswer: 15135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4335?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the third derivative of -d**5\/120 + 7*d**4\/32 + 11*d**3\/24 + 206*d**2. Factor r(p).\nAnswer: -(p - 11)*(2*p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 554*r - 449. Let j(b) = -111*b + 90. Let v(o) = 2*f(o) + 11*j(o). Differentiate v(s) wrt s.\nAnswer: -113","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oyvhf. What is prob of picking 1 o and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 32.508849 + -1739.\nAnswer: -1706.491151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**3 - z**2 - z + 2. Let r be o(0). What is the third derivative of -5*u**r + 5*u**4 - u**4 + 3*u**2 + 0*u**2 wrt u?\nAnswer: 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 858*y + 6. Let h(p) = -7*p**2. Give h(z(c)).\nAnswer: -5153148*c**2 - 72072*c - 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 152888 - 651593 = -k - b, k + 4*b - 498696 = 0. Let l be (60\/9)\/((-56)\/k). Round l to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the first derivative of u**2 + 7*u + 21. Give g(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 82 and 12300.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**2 + 10*n + 11. Let u(y) = y + 1. Let a(k) = f(k) - 4*u(k). Let b be a(-3). Let i(q) = -q**3 - 4*q**2 - 4*q - 3. Determine i(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4830 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 28 = 2*j + 6*a, 6*j + 2705*a - 44 = 2703*a for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10200211202221121 - -22?\nAnswer: -10200211202221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 43510548?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 177059.\nAnswer: 59, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - x = -114. Let m = 581 - x. Suppose 5*b + 5*h - 1052 = -417, -m = -4*b + 4*h. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -79*j**3 - 20696*j**2 + 795580*j - 20128.\nAnswer: -(j - 34)*(j + 296)*(79*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12, -110, -370, -870, -1688, -2902, -4590?\nAnswer: -6830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -19*j**5 - 18*j**2 - 8*j**2 - 12*j**5 - 9*j**5 wrt j.\nAnswer: -2400*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1540988 is divided by 140089.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1013595 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11\/((-77)\/56)*5\/10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1cc (base 15) to base 4\nAnswer: -12201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2109 and 19651263?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -24 + u + 24. Let x(i) be the first derivative of -8*i**3\/3 + 444. Calculate x(l(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8967 and 2107.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 33*g**3 + 4*g**2 - 4*g + 4. Let k(j) = -1914*j**3 - 231*j**2 + 231*j - 231. Calculate 4*k(c) + 231*z(c).\nAnswer: -33*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {j: 2, c: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**3 + 9*y**2 + y - 7. Let l be v(9). Let t = l - 0. Suppose 5*q - 72 = t*q. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 202*n**2. Let u(p) = -12427*p. Determine u(s(f)).\nAnswer: -2510254*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - l - 4, -3*l + 16 = 5*m. Suppose m*w = 7*w - 30. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -38*y**2 + 3031*y - 16258. Determine z(74).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.24 - 662203.\nAnswer: -662202.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.002274 - 0.0029. Round w to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1443000 rounded to the nearest ten thousand?\nAnswer: -1440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (0 + sqrt(1377) + -4 + sqrt(1377))**2 + ((sqrt(1377) - (0 + sqrt(1377))*4)**2 - sqrt(1377)) + 3.\nAnswer: -153*sqrt(17) + 17924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/14)\/((-2)\/(-14)*(-26)\/(-39))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 6, -0.05 in ascending order.\nAnswer: -2, -0.05, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine halves of a micrometer in nanometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 537 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2551355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -4*z**2 - 5*z - 6. Let f(l) = 7*l**2 + 10*l + 11. Calculate 10*c(y) + 6*f(y).\nAnswer: 2*y**2 + 10*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3  (b) -0.1  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -f8 (base 16) to base 9\nAnswer: -305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 14) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 11739*j - 5. Give w(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 36.3 times 1010?\nAnswer: 36663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*n**2 - 315*n + 315*n.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*q + 276696 + 43*q - 276696 - 11*q - 17*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 106291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 4*q**2 - 8*q + 8 - 3*q**2 - 4. Let l be g(8). What is the second derivative of -v**2 + 0*v**2 - 3*v + l*v wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6387 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 6*s - 18 = 2*r, -2*s = 2*r + 10. Let g = -0.22 + 0.02. Which is the nearest to g?  (a) r  (b) 0.1  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2*-9*(-1)\/6. Solve v = z*v - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the first derivative of 4*p**2 - p**4 + 0*p - 53 + 4\/3*p**3. Suppose j(i) = 0. Calculate i.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f. Let p be 1\/((4\/5)\/(-4)). Let i(w) = 2*w. Let r(y) = p*i(y) - 7*d(y). Let m(j) = 3*j - 5*j + 3*j. What is m(r(t))?\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*h - 3*h + 8*h - 8*h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 205703, 411603, 617503, 823403?\nAnswer: 1029303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -20 + 4. Let l be 4\/g - 18\/(-8). Suppose -l*p = 2*p - 16. Solve -7 = 3*o + 5*d - 2, 0 = -p*o - 4*d - 12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-137)\/(-959))\/((-2)\/98)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*26 + (-22)\/(717\/18 - 38)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-86)\/18 - (-26)\/(-117). Let p(k) = -6*k - 7. Let u(f) = 5*f + 6. What is i*u(j) - 4*p(j)?\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1458)\/45)\/(648\/1080)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 6, v: 4, x: 10}. Give prob of sequence exxv.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 5, j: 2}. Give prob of sequence ojj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 5*y = -20, 3*y = 6*y. Let x = -16 + u. Calculate the lowest common multiple of x and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3500 + -3?\nAnswer: 3453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-25 - (-20 + 1)) + 5 + -33\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 55475808?\nAnswer: 55475808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 - -20002000212200?\nAnswer: 20002000212111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 3*f - 52 = 0. Suppose w + 4*d = -0*d + 2, 0 = 5*w - d - f. Calculate the highest common factor of 70 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -75\/2256236 and 73\/30459186.\nAnswer: 60918372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 - -64b26c?\nAnswer: 64b273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the third derivative of -n**4\/8 - n**3\/6 + 5*n**2. Find the first derivative of s(c) wrt c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22 and 36151202.\nAnswer: 397663222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 35\/7 + (-1 - 4). Let g(x) be the first derivative of -4*x + y*x**3 + 3 + 1\/2*x**4 + 0*x**2. What is the derivative of g(r) wrt r?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -11, -23, -49, -95, -167?\n\"Answer: -t**3 - t**2 - 2*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/5)\/((-12)\/(-84))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*s**3*y**3 - 2*s**3*y**2 + 6*s**3*y + 11*s**2*y**3 + 2*s**2 - 2*s*y**4 wrt y.\nAnswer: 12*s**3 + 66*s**2 - 48*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72 = -2*u + 80 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 2*m = -10, 0*y - 5 = -y + m. Let g = -7 - 0. Let l = g + 11. Sort -1, y, l.\nAnswer: -1, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.03*1782304.4.\nAnswer: -53469.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -5*c + 381. Let f(q) = -q**2 + 13*q - 759. Let s(r) = 3*f(r) + 7*t(r). Find the first derivative of s(b) wrt b.\nAnswer: -6*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*y + 4*y + 15 = 0. Let i = y - -1. Find the common denominator of ((-51)\/(-14))\/(3\/i) and -57\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6355.62 milliseconds to seconds.\nAnswer: 6.35562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -22*f**2 - 7*f**2 + 18*f**2. Let t(a) = 6*a**2. Determine i(t(h)).\nAnswer: -396*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, 1, -16 in descending order.\nAnswer: 21, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1275) + 6*(sqrt(1275) + (sqrt(1275)*-5 - sqrt(1275))))\/(-5*-1*sqrt(3) + 3*sqrt(432)).\nAnswer: -145*sqrt(17)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.96 + -1. Let v = -0.06 + t. Let c = 8.9 + -11.7. Which is smaller: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 625709*f**6 - 5*f**3 + 138*f**2 - 720*f - 4.\nAnswer: 75085080*f**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -119485507*h**2 + 2*h - 4692579?\nAnswer: -238971014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.16956 - 4.83044. Which is the nearest to 2\/3?  (a) -3\/5  (b) -3\/11  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y**4 - 198*y**3 + 651*y**2 + 1998*y - 4968 = 0. Calculate y.\nAnswer: -69, -3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -82 - -9. Let x = z + 74. Which is the third smallest value?  (a) 1\/12  (b) 2  (c) 0.5  (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14709 is divided by 324.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6209496778.14098127 - 6209496851. Let g = -71.839017 - l. Let q = -1.02 + g. What is q rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -3*b + 89. Give z(14).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -412*t + 156*t - 746 = -629*t. Solve -22\/17*o**t + 16\/17 - 84\/17*o = 0 for o.\nAnswer: -4, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40157?\nAnswer: 13, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 - -4588.0771439.\nAnswer: 4583.0771439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -2 + (0 - -1) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 73*-1134.39\nAnswer: -82810.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -164 + 202. What is the remainder when 160 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (9\/6)\/(6\/152). Suppose 5*t - 23 = -2*g, 5 = t - 0. Let f be 15 + (-4)\/g - 0. Calculate the highest common factor of f and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 145.37604 to the nearest integer.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**3 + 19*o**2 + 64*o + 53. What is j(-15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -5165 <= -5170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 7*z**2. Let d(w) = -396*w**2. What is d(q(i))?\nAnswer: -19404*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g**3 - 3*g**2 - 2*g - 3. What is o(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -648 - -650. Which is the closest to 0.1?  (a) 8  (b) u  (c) -7  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 6 + 13*a**2.\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-2\/7))**46\/(g**1\/g)**(-22) assuming g is positive.\nAnswer: g**(-92\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -43 + 42. Let x(l) = -18*l**3 - 3*l**2 - 3*l - 2. Let k be x(j). Does 2 divide 1\/((-4)\/(-14)*28\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert c21 (base 15) to base 5.\nAnswer: 41411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -14.6204 to 1 dp.\nAnswer: -14.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 2*v - 2816 = -2*x, -3*v - 3*x - 8466 = 0. Round v to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 3*n**2 - 17*n + 36. What are the prime factors of k(-28)?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 300\/3481 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:13 AM and 11:25 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 377646454 to the power of 1\/3, to the nearest integer?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) 19  (c) 4  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -60, -134, -200, -252, -284, -290, -264?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, g: 1, p: 1, t: 1, i: 1, q: 1}. Give prob of sequence tyy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-3\/17)*k*k*k*k*k**(-1\/10)*k**(-2\/5)*k\/(k**(3\/2)\/k)*k)**17 assuming k is positive.\nAnswer: k**82","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.77893363 rounded to 2 dps?\nAnswer: 2.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*q**3 - 7 + q**3 + 7.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*p + 2*p**3 - 74*p**2 + 0*p + 74*p**2.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**2 + 5*k - 17. Let h be 3*(0 + (-10)\/(-3) + 0). List the prime factors of x(h).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c + 3*c - 2*c)*(-4 + c**3 + 4) - 6 - 4*c**4 + 6.\nAnswer: -5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5 + 5*h - 7*h + 2*h + 5*h**2.\nAnswer: 5*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -694*a + 31968 = 125*a + 180*a for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 72  (b) 2\/11  (c) 0.172  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/6  (b) -1  (c) 0.48  (d) 5  (e) -2  (f) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the second derivative of -w**3\/3 - w**2\/2 - 93*w. Let d(f) = -4*f - 2. Let g be (-6)\/14 - 128\/28. Determine g*p(q) + 3*d(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5690 - 5686. Let a = 4 + -2. Let m be (0 - 1) + a + r\/4. Solve 4*q - u = 12, 2*q + u - m*u = 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -41 - 79?\nAnswer: -ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4660992 and 2193408.\nAnswer: 37287936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 4 + 3)*(u**2 + 3*u - 3*u) - 10 - 20*u**2 + 23 - 15.\nAnswer: -22*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -45 - -52. Suppose -3*u + 3 = -2*i - 4*u, i + v = 5*u. What is the units digit of ((-65)\/10)\/(i\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 0, 0 = -3*y - j - 110 + 353. Suppose 86*b = y*b + 860. List the prime factors of b.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 - 3. Let i = 3 + -35. Let x = i + 51. Solve -2*o - 3*w + x = s, 0*o - w = 4*o - 13 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000007197 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -315098 = -4*p - 3*p. Let t = p + -19592. Is (2\/(-6))\/((-2)\/t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -147912 divided by -2?\nAnswer: 73956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 - -4. Let u(c) = -c**3 - 8*c**2 - 7*c + 4. Calculate the remainder when 6 is divided by u(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 16 - (-4 + 10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dddmmmmadaddaaauau. Give prob of picking 2 u and 2 a.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 23.34125 litres?\nAnswer: 23341.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the second derivative of 34*y**7\/3 + 391*y**4\/12 - 682*y. Find the third derivative of j(b) wrt b.\nAnswer: 28560*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the third derivative of -11*s**6\/40 + s**5\/20 - 5*s**3\/6 + 48*s**2. Find the third derivative of m(o) wrt o.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3672 and 233376?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -0.015 * -4\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2607588840 rounded to the nearest 1000000?\nAnswer: 2608000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.06776 to three decimal places.\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 52 + -259\/5. Which is the closest to 2\/7?  (a) -1  (b) 0  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11.343 - -37.372. Let o = -0.6 - -26.6. Let d = o - f. What is d rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 110 - 2?\nAnswer: 10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -653 - -665. Suppose 3*b - 2*s = 22, 4*s = -b + s. What is the remainder when y is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of c**5 + 9550*c**2 + 52627*c?\nAnswer: 20*c**3 + 19100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -373.0185 + 0.0185. Let d = 374 + t. Is -75 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*w - 5*t + 16, -10*w - 4*t + 2976 = 2980 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 436 is divided by 74.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**2 + 7*o + 2. Suppose 5*v - 15 - 20 = 0. What are the prime factors of q(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1599542 to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6.328942 - -3.80717.\nAnswer: -2.521772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -103\/340 and -123\/280.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/3  (b) 200  (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {t: 2, v: 1, d: 2, o: 2, z: 4, r: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 969 by -5.\nAnswer: -969\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000382651544 rounded to 7 dps?\nAnswer: -0.0000383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.7412 + 0.741178102. Round l to seven decimal places.\nAnswer: -0.0000219","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence llhc when four letters picked without replacement from {h: 2, c: 2, n: 1, u: 2, l: 2, q: 5}?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eesizie. Give prob of sequence iize.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*l**3 - 3*l**3 + l**3 + (-1 - 1 + 4)*(-6*l**3 + 3*l**3 + 4*l**3) - 7*l**3 + 3*l - 3*l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -6, 5, -63.\nAnswer: -63, -6, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 387 + 0?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1151a + 3c?\nAnswer: 11557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 667412, -11 in increasing order.\nAnswer: -11, -1, 667412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/5, 0.03, 17, -1.4 in decreasing order.\nAnswer: 17, 1\/5, 0.03, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(78) - ((sqrt(78) - sqrt(78)*-1)*-1 - sqrt(78)))\/(sqrt(6)*-1*4))**2*-5.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u - 20*u + 36. Suppose 0*t - 2*t = -u. Which is smaller: t or 2\/119?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1655.\nAnswer: 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16 - -21. Suppose 18 = h - 5*j, -3 = -v*h - j - 3*j. Suppose -3 - h = 3*x, -5*r - x + 178 = 0. Calculate the remainder when r is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 1009722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3685\/7575 + (-1)\/(-5). Let f = -1725\/82012 - -1\/812. Let z = u + f. Is -1 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 27 and 4509.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000067982 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -5*n + 46, 0 = 2*n - n - 3*c - 2. Suppose -p + n = -18. Solve -2*z = 5*h + 19, 5*z - 4*h - p = 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3434?\nAnswer: 2, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -6*k. Let r(a) = -79*a. Determine y(r(j)).\nAnswer: 474*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73483 is divided by 3668?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -31 + 45. Let m = f + -13.99951. Round m to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7240031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3772677 is divided by 56.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from peiieeeej. Give prob of picking 2 e.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(2\/3))**(-16))**12 assuming n is positive.\nAnswer: n**(-128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes before 11:03 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(5\/4)*s**3*s)\/(s*s*s*(s*s**(-1)*s)\/s)**(-7) assuming s is positive.\nAnswer: s**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 61 - 41. Suppose -i = -5*i + v. Calculate the greatest common factor of i and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 2*m - 7 = 2, 0 = 3*j - 5*m + 22 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -211 - -214. Suppose -4*i = 4*w - 412, 0 = f*i + w - 256 - 55. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 5) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 703028392?\nAnswer: 2, 11, 349, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the first derivative of j**3\/3 + 2*j**2 - j + 1. Let o be 99\/(-24) - (-3)\/24. Let f be q(o). Is f greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 104394 is divided by 6524?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3010 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -162, -187, -230, -297, -394?\n\"Answer: -r**3 - 3*r**2 - 9*r - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7054043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**2. Let u = -5 - -3. Let p(j) = 3*j**2 + j. Suppose 0*d - 3*d - 15 = 0. Let a(l) = d*z(l) + u*p(l). What is the second derivative of a(s) wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20 + 17 - 11)*(-4*l**3 + 10*l**2 - 10*l**2)*(4*l**2 + 5*l**2 - 5*l**2).\nAnswer: 224*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w + 36. Calculate the smallest common multiple of f(0) and (-2 - (-48)\/30)*5\/(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8420752 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -17169355 or -17169362?\nAnswer: -17169355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 111 and 912383?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**3 + 6*v**2 - v - 2. Let j be z(-6). Let h(f) = -10*f - 9. Let w be h(j). Let u = 93 + w. What is the highest common factor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**3 - n**2 - 18*n - 1. Let f(i) = -i**3 - 2*i**2 - 5253*i - 5495. Let o(j) = f(j) - 2*x(j). Differentiate o(a) wrt a.\nAnswer: 3*a**2 - 5217","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 731 divide 1504849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1540 and 3410?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rvyeqpv. Give prob of picking 2 y and 1 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7 and 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 289.16 and -12.\nAnswer: -3469.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5526.062 - -5531. Let g = f + 0.062. Put 1\/4, g, 1 in decreasing order.\nAnswer: g, 1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -208*s + 51. Calculate the remainder when k(-3) is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2272 and -1.08707.\nAnswer: -2273.08707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 106659443, 106659441, 106659449, 106659473, 106659519, 106659593, 106659701, 106659849?\nAnswer: 106660043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 + 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -681  (b) -99.7  (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*i**2 - 6 + 5 - i**4 + 16*i**2 + i as w*i**2 + m + x*i**4 + z*i**3 + s*i and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fourty-nine fifths of a century?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -452019 less than -452016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**2. Let d be (-6)\/9*(-117)\/6. Let b(p) = d*p - 18*p + 3*p. Determine k(b(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -r - 2*r + 5*r + (-1 + 1 + r)*(-5 + 3 + 4) + 6*r + 8*r + 52*r in the form h*r + g and give h.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 8086.53 weeks in microseconds?\nAnswer: 4890733344000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 2*q**3 + 14*q**2 + 8*q - 25. Let t be d(-6). Let j be (t - -5) + -5 + (-40)\/(-28). What is the third biggest value in 2\/13, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 2  (b) -19  (c) -3\/10  (d) -3  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 600 divide 33776151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13 + -1. Suppose x - l - 3 = 0. Suppose -75 = -x*v + 10*v. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 655612 - -4?\nAnswer: 655616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*d - 2 + 2 + (-9*d + 3*d - 4*d)*(-2 - 3 + 3) + d - 6 + 6 + (d - 2 + 2)*(-5 + 2 + 4) as v*d + n and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3751156 is divided by 386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-three fifths of a hour in minutes?\nAnswer: 396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**2 - 5*i. Let g(k) = 2*k**3 - 23*k**2 + 11*k - 5. Let m be g(11). Let q be 2 + 4\/(-10)*m. Let t(y) = 4*y. What is q*u(f) + 5*t(f)?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11429*m + 808968 + 329986 - 30341 = 0 for m.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 7*k**3 - k**2 - 2*k - 5. Let w(z) = 8*z**3 - 2*z**2 - z - 5. Let r(g) = 7*i(g) - 6*w(g). Give r(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 2 d when three letters picked without replacement from qdqqduqquxqsqq.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000007708 rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 84465168 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*a**4*d - 36*a**4 - 3*a**2*d - 55*a*d + 7*d wrt a.\nAnswer: 60*a**2*d - 432*a**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9.5 - -9.474. Does o = 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19 + -1. Suppose p + 14 = g + 3*p, g + p = v. What is the highest common factor of 55 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q + 3*u - 441, 0*q + u - 451 = -4*q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/2*-2*(-14)\/(-56).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 6*u. Let p(i) = -2*i**2 - 31*i. Calculate f(p(q)).\nAnswer: -12*q**2 - 186*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g = s - 36, s - 32 = -3*s - 4*g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2*j + 1 + 2)*((-11 - 4*j + 11)*(-2 - 4*j + 2) + 128*j**2 - 235*j**2 + 123*j**2).\nAnswer: 64*j**3 - 32*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -32 + 37. Suppose 5*t + 3*j - 30 = 0, t - 5*j = w*t - 24. Solve -3*a + t*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the second derivative of -j**5\/4 - 865*j**4\/12 - 18920*j**3\/3 - 18490*j**2 + 10*j + 63. Factor v(r).\nAnswer: -5*(r + 1)*(r + 86)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a centimeter in micrometers?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00079163 rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 133\/4 greater than 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3317 + 5307. Which is smaller: 1991 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 13) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 801, 877, 1069, 1437, 2041, 2941?\nAnswer: 4197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 3*z**2 - 4*z**2 + 2*z**2. Let j(g) = -145*g - 4872923 + 4872923. What is v(j(a))?\nAnswer: 21025*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 615 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 1081193, 10 in descending order.\nAnswer: 1081193, 10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(1331) + -1)**2 - (sqrt(1331) + -3*sqrt(1331) + 0)) + -3.\nAnswer: -22*sqrt(11) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 15 - 35\/((-315)\/18)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 9 = -15. Suppose i = c + 2*p, 4*c + 4 = 5*p - 3. Suppose -c*m + 58 = 68. Let z(f) = f - 5. What is z(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*i**5 - 12*i**5 + 0*i**5 + (-1 - i + 1)*(3*i**4 - 3*i + 3*i) + 3*i**5 - 2*i**5 + i**5.\nAnswer: -10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-84)\/(-35) + 4\/(-10). Suppose -4*o - n*u + 112 = 0, -2*o = -2*u + 5*u - 52. What is the remainder when o is divided by (192\/60)\/(4\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48003 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 320 + -12b02?\nAnswer: -127e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - 2*b + 6*b - 7, 4*r + 32 = 4*b. Let x be (-6)\/12*-2*1. Let l(t) = t**3 - 5*t**2 + 4*t - 4. Let i be l(4). Sort r, i, x in decreasing order.\nAnswer: x, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20464751459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -425789*v**3 - 1289200 wrt v.\nAnswer: -1277367*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 593*m + 3*y - 17 = 597*m, y = -5*m - 26 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 5044100771?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(8\/11)*d)\/d)\/d*d**10*d*(d**(2\/9)*d)**(-5) assuming d is positive.\nAnswer: d**(457\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.34 - -30.34. Which is bigger: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (121 + 3*y**2 - 121 + (-5 + 4 + 3)*(-4 + y**2 + 4) + y**2 - 1 + 1 + 13 - 13 + 4*y**2)*(7 - 1 - 8*y - 3)*(y**2 + y**2 + 0*y**2).\nAnswer: -160*y**5 + 60*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -35 by 1119.\nAnswer: -35\/1119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4491 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8089 - 3.\nAnswer: -8092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of ((-29274)\/28)\/((-6)\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.54 + -0.54359. What is b rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 40, -17, -5\/4, 2\/3, -27\/5 in decreasing order.\nAnswer: 40, 2\/3, -5\/4, -27\/5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1458847\/534 - 2732. Calculate the common denominator of h and 17\/20.\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 2*f - 46. Let w = -8 + f. Let t = 22 - w. Calculate the remainder when 27 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 689050 + 676335 = 30*c + 205195. What are the prime factors of c?\nAnswer: 3, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -13\/5756991 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 2*p + 3. Let k be b(-6). Let h be ((-4)\/6)\/(k\/(-54)). Does 15 divide -1 + h + 40\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -201.0000156 - -201. What is p rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the first derivative of l**3\/6 + l**2\/4 + 6. Factor r(n).\nAnswer: n*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -77.54696 + 6.31986. Let h = q - -0.1271. Let a = h + 71. Do -16 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -3*l - 7*l**2 - 1 - 4*l - l. Let c(i) = -13*i**2 - 15*i - 2. Let x(q) = q**2 - 24*q - 36. Let j be x(25). Let o(g) = j*m(g) + 6*c(g). Factor o(p).\nAnswer: -(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 - 617*y**2 - 2004*y + 89298. Determine k(620).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3175 = 214*b - 2646 + 43 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the third derivative of -m**7\/252 + 2*m**5\/5 + 23*m**4\/24 - 18*m**2. Let h(d) be the second derivative of p(d). Differentiate h(z) wrt z.\nAnswer: -20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7.2 + 7.19999735. Round y to seven decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/((-2412)\/(-1005))*(-24)\/(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*o = -24*o - 2798. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -113 - -2059\nAnswer: 1946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/9073966 and 131\/1662.\nAnswer: 27221898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(19) - sqrt(209)\/(-3*sqrt(11)))**2.\nAnswer: 1216\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000124899688 rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -2\/9  (b) 4  (c) -46\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 2\/9  (b) -0.2  (c) -35  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9392 divided by -4696.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11.7 - 12. What is the closest to 0.2 in y, 4, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 663380309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2224 + -2223.9. Put t, -33, 2\/3, 2 in descending order.\nAnswer: 2, 2\/3, t, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.5  (b) -37  (c) -9\/2  (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u = 2*u - 12. Let g = 1263 + -1245. Put 2, u, g in ascending order.\nAnswer: u, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -59*o - 127*o - 3 + 4 + 18*o**2 - o**3 - 1 wrt o.\nAnswer: -6*o + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1121221022000 + -10?\nAnswer: -1121221022010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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 z(p) = -33*p**2. Let x(d) = 2*d**2 + 18*d + 147. What is x(z(a))?\nAnswer: 2178*a**4 - 594*a**2 + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.4*-2075.5\nAnswer: 830.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, 1\/5, 52, -6, -10?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3294507, -3294316, -3294115, -3293898, -3293659?\nAnswer: -3293392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*m - 195*m - 120*m - 858 = -6150 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - (1 + -3)) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -67 + 66. Let c(f) = f**5 + f**3 + f - 1. Let n(l) = -8*l**5 + 3*l**4 + l**3 - 6*l**2 - 8*l + 8. Let w(y) = v*n(y) - 5*c(y). Factor w(q).\nAnswer: 3*(q - 1)**3*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1103 less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -633 = u - 621. What is the lowest common multiple of (3\/6)\/(u\/(-168)) and 94?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0.3  (b) 4  (c) -5  (d) 143.5207\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -29154*u + 48658*u + 52277 + 117332*u + u**3 + 3*u**3 - 1464*u**2 - 576453.\nAnswer: 4*(u - 181)**2*(u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -3\/7, 0.05, -2, -7, -0.106, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ovvoovdooodoooopvoo. Give prob of sequence opoo.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the first derivative of 1152*i**5\/5 - 1289*i**3\/3 + i**2 - 2*i + 1394. What is the third derivative of p(m) wrt m?\nAnswer: 27648*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22 (base 4) to base 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2047 - 2034. Solve 0 = -5*m + s*m + 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -62*l**2 - 91*l. Determine b(-2).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 3*l - 12 = -2*b, -3*b - 3*l = -21. Solve b*s - 2*y - 14 = -y, 0 = 3*s - 3*y - 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 16 = 2. Suppose -s - 1 - c = 2*l, 4*s - 33 = 5*l. Suppose 33 = s*m + m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3452\/7*r - 4\/7*r**3 + 1724\/7 + 1732\/7*r**2.\nAnswer: -4*(r - 431)*(r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 3*q + 10 = 0, 5*q = -2*l - 11 - 2. Suppose 0 = 12*j - 7*j. Suppose -2*g + 5*t = 10*t - 26, -g + 4*t - 13 = j. Put g, 4, l in decreasing order.\nAnswer: 4, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(684)*1 - ((sqrt(684) - sqrt(684)*2) + 1 - sqrt(684)))**2 + (sqrt(684) + 2*sqrt(684) + -3 + sqrt(684) - (0 + sqrt(684) + -5))**2)*-6.\nAnswer: -102630 - 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22221 (base 3) to base 5.\nAnswer: -1431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -9*t + 139. Let y be b(16). Put -2, 1, y, 15 in descending order.\nAnswer: 15, 1, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 647390, 1294745, 1942098, 2589449?\n\"Answer: -f**2 + 647358*f + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -279 + 1486. Let z = 984 + -526. Let u = a - z. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7 + 1 - 2)*(28*r + 2*r**2 - 28*r + 18)*(0 + 2 - 3) in the form d + i*r**2 + f*r and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 224401 (base 7) in base 3?\nAnswer: 2000211221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2103419155873 and -1.\nAnswer: -2103419155874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 30\/(-80) + 256076\/32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 21132 (base 4) in base 3?\nAnswer: 211110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:12 AM and 5:40 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - 13 - (10 + -18 - 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3276 = -352*m + 292*m + 294*m for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:09 AM and 3:23 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 122343931 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -11530911*y + 1575143.\nAnswer: -11530911","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3263.74 + 3306. What is h rounded to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -2\/1495464851?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 371*n**5 - 6726*n**4 - 2*n**3 - 8931206*n.\nAnswer: 7420*n**3 - 80712*n**2 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2848315759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 4*g**3 - 3*g**2 + 16*g - 14. Let y(z) = -z**2 + 1. Let v(x) = u(x) + 6*y(x). What are the prime factors of v(7)?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -76 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 2*j = 10, -4*j - 2 - 6 = 3*v. Suppose -10 = -6*i + v*i. Calculate the lowest common multiple of 21 and i.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 divided by 6?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 100267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (666\/24)\/((-27)\/(-144)*4). Solve k = 3*y + 4, -k + 44 = -4*y + m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 3*f - 31 = -p, 3*f - 25 = p. Let w = -1 + 2. Suppose x = w + 6. What is the lowest common multiple of f and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4566621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 44 - 42. Let l(t) = t**2 - 4*t + 2. What is l(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, o: 1, r: 2, z: 1, v: 4}. What is prob of sequence yvy?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -v**5\/3 + 17*v**4\/3 - 79*v**3\/3 + 47*v**2\/3 + 80*v\/3 - 64\/3 = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 175417608.\nAnswer: 2, 3, 101, 72367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3*1)\/(1\/(-3 + (12 - 12)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.6999989 + 1.7. What is t rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 2*s**2 + 23*s - 11. Let p be a(-18). Let y = p + -11. Let v = y + -90. List the prime factors of v.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -7*n**3\/3 - 72346*n**2 - 560831356*n - 2403120040\/3 = 0.\nAnswer: -15502, -10\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45868 is divided by 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 67, 12, 5, -3, -6 in descending order.\nAnswer: 67, 12, 5, 3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1226652 and 175236.\nAnswer: 1226652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j - 1132 = 266. List the prime factors of j.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -w + 237 - 237.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**2 - 10*z + 10. Suppose -205 = -3*n - 4*x, 2*x - 16 - 49 = -n. What is the remainder when n is divided by s(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (22 - 30) + (-3 + -5 + 12 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6927 or -4?\nAnswer: -6927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 554190 a multiple of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/4 and 53\/74.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 78b77 (base 12) to base 6.\nAnswer: 3235431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 - -12. Let k = a + -8. Let j = -140 + 138. What is the second smallest value in k, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -37 divided by 36\nAnswer: -37\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvwm when four letters picked without replacement from {v: 6, y: 2, w: 1, m: 2}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 + 6. What is the lowest common multiple of n and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2806016975?\nAnswer: 5, 109, 1029731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -110*a + 102 - 204 = 118 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((sqrt(102)*-1 + sqrt(102) + sqrt(102))*-4)\/(sqrt(6) + (sqrt(54) + sqrt(432)\/sqrt(8))\/sqrt(9)).\nAnswer: -4*sqrt(17)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1047, 8067, 27113, 64197, 125331, 216527?\n\"Answer: 1002*h**3 + h**2 + 3*h + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**3 - 4*c**2 - c - 2. What is the remainder when y(-5) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12917*k + 3*r = 12914*k + 48, -4*k + 32 = 2*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + (-21)\/(588\/1792)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -13*k**3 + 75*k**2 + 892*k + 960 = 0.\nAnswer: -5, -16\/13, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: What is 51\/4 of a millennium in decades?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13 - -13.2. Let a be (315\/6)\/(-3)*(-16)\/28. Sort a, -0.3, n in decreasing order.\nAnswer: a, n, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*s - 498 = 6 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-2\/19)\/u**(-10) assuming u is positive.\nAnswer: u**(188\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1101 = -7*c + 369. What is the highest common factor of 45 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2852990 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a = 5*m - 30, 379*m + 3*a - 38 = 381*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-27 - 1)*(-47160)\/99036.\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2527 = 229*i + 392 + 4109 + 2132 for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the second derivative of -1\/2*t**2 + 5*t - 1\/6*t**3 + 0. Let l(b) = -b**3 + 7*b + 5. What is -5*c(s) - l(s)?\nAnswer: s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 27\/(-12)*1\/(-3). Let l = 17 - 22. Which is the nearest to -0.2?  (a) 0.1  (b) q  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/(-4)*(-3 + (0 - 1)). Let s(k) = -k**3 - k**2 + 2*k - 3. Calculate s(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1)\/(-2))\/((-3)\/(-6)). Let d = -2 + t. Let k = d - -18. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q. Let s(c) = -7*c + 5. Calculate 2*m(l) + s(l).\nAnswer: -5*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - (3 - -4 - 2)) + 39 + -19.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -24*g**2 + 10 + 0*g + 2*g - 10 in the form w*g + t*g**2 + l and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -4*y + 3. Let t be 1\/((3\/1)\/90). Let u be (2\/4)\/((-3)\/t). Calculate the remainder when m(u) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-6)\/4)\/(25\/((-100)\/(-6))))\/((-20)\/(-680))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.22 times 27162\nAnswer: 5975.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 92, 143, 190, 233?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/11551530 and 11\/16172142?\nAnswer: 80860710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3 from 0.070005.\nAnswer: -2.929995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 2*l + 63. Calculate a(-27).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1618 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -119*l + 12 = -113*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 2 - 3841*l - 6 + 3846*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8154, -8162, -8176, -8196, -8222, -8254, -8292?\nAnswer: -8336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -191 + 8. Let a = 182.9 + c. Put 4, -4, a in decreasing order.\nAnswer: 4, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -1\/2*o**2 - 119 + 121\/2*o = 0?\nAnswer: 2, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1762, -1763, -1764?\n\"Answer: -r - 1761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 6*p = 3. Suppose 0 = -0*g - p*g + 18. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 119*c - 279*c - 18 - 2*c**3 + 184*c in the form p*c**3 + k*c**2 + y + n*c and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -23812, -23823, -23834, -23845?\n\"Answer: -11*x - 23801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(20*(-4)\/(-160)))\/(1*25)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 divided by 7.\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -7*s + 6. Let g be n(3). Let z(c) = 0 + 16 - 371*c + 372*c + 19. What is the least common multiple of 6 and z(g)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 1557\/97952?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -35*z**3 + 59*z**2 - 28*z + 7. Let q be 4\/6 + (-5)\/(-15). Let a(y) = -1. Let t(s) = q*x(s) + 3*a(s). Factor t(k).\nAnswer: -(k - 1)*(5*k - 2)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 8 + ((-23475)\/(-160))\/(-15) and -9\/44?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1886*b + 174 = 1882*b - 10*d, 45*b - 44 - 98 = -2*d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1083330559.\nAnswer: 17, 1283, 49669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*z - 834*z - 108538 = 1832*z + 25912 for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve l + 0*l - b + 46990 = 46977, -l - 26 = -5*b + 43 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 27059371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -108.9 and 20916.8.\nAnswer: -2277839.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 4940614055 to the nearest 100000.\nAnswer: 4940600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 0, -8, -12, -6, 16, 60, 132?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -813 - -814. Let d be (66\/(-15))\/(5\/100). Which is greater: d or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 21157 or 21126?\nAnswer: 21126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9645 divided by 643.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k**3\/4 + 263*k**2 - 1055*k + 1056 = 0. Calculate k.\nAnswer: -1056, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -57683006*x**2. Let a(p) = -30*p. What is a(v(m))?\nAnswer: 1730490180*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2792314, 2792316, 2792320, 2792326?\n\"Answer: v**2 - v + 2792314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 220 divided by -1993411.\nAnswer: -220\/1993411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4391*y**5 - 1066*y - 527*y**5 - 2913*y wrt y?\nAnswer: 77280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 30*a - 45. Let y(o) = -o + 1. Suppose -2*i = 99*w - 104*w - 105, -2*w = 6. Give i*y(g) + k(g).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -396702.6 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10 and 3690.\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**3 + u**2 + 3. Let o be a(0). Suppose -5*v - 33 = -t - o*t, -5*t + 3*v + 51 = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -31020428*c**2 - c - c + 4 + 31020293*c**2 as l + n*c + p*c**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 34275525 and 2850.\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 times -53251490\nAnswer: 10650298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 232116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) -1\/6  (c) 543\/95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11350 is divided by 884?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1005*i**2 - 1250*i**2 + 2257*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 6*q**2 + 4*q - 3. Let p(g) = 7*g**2 + 5*g - 9. Let j(f) = 303 + 308 - 612. Let c(l) = -5*j(l) + p(l). Determine -4*c(k) + 5*z(k).\nAnswer: 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**2 + 10*m - 14. Let u be r(9). Let a be (2 - 8)\/((-6)\/4). Put 5, u, a in descending order.\nAnswer: 5, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1124009837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 11, 16\/11, 60?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -10 - 131?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**4 + 10*x**3 - 18228*x**2.\nAnswer: 2*x**2*(x - 93)*(x + 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 455 + -479 + 34 + -3 - 64.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 + 1 - 6\/(-1). Suppose 4*b - 24 = -0*b. Is v less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0083 - 0.049\nAnswer: -0.0407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-3) + 11\/3. Let p(m) = i*m - 1 - m + 0. Suppose -u - 2*u - 4*z + 7 = 0, -5*u - 5*z = -10. What is p(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in -2\/11, -46, 4\/5, 3\/4, -0.04?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 335565280?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 8501821649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*t**3 - 95*t**2 - 170*t.\nAnswer: -5*t*(t + 2)*(t + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 49 and -12988.4.\nAnswer: -636431.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18841 is divided by 387?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*n - 0*n + 315. Suppose 3*w - 11 = 1. Suppose d - 8 = w. Calculate the remainder when n is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -171 and 3\/103 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.808578 nanometers to millimeters.\nAnswer: 0.000003808578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -165, -332, -501, -672, -845, -1020, -1197?\nAnswer: -1376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 8 = -i + 32, -2*k - 56 = -4*i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 6*f + 7. Let l(r) = 9*r + 11. Let q(i) = -2*i - 4. Let k be q(3). Let n be (-2)\/(-6) - (k - -7)\/(-9). Let u be 1 + n + -3 - 3. Give u*l(j) + 8*b(j).\nAnswer: 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18 + 29 + 124*t - 11 + 179*t - 156*t.\nAnswer: 147*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1784 is divided by 448?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n + 7. Let s be v(-4). Suppose -s*f + 3*d + 561 = 0, -f = -5*f + d + 751. List the prime factors of 4*f\/8 + -4.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 317 is divided by 150.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + i - 16300004 = 0, 5*m + 4866030 = -2*i + 21166038. Round m to the nearest one hundred thousand.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 813, 0.4, 2\/183, 1, -9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.1, -2, -0.04, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 74*t - 2. Let l(n) = 3*n**2. Determine u(l(s)).\nAnswer: 222*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*d**3 - 128*d**2 - 134*d - 34.\nAnswer: 2*(d - 17)*(2*d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*k + 3*k - 4*k)*(0 + 0 - 5)*(-2 - 4*k + 2) as u + d*k + j*k**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + (4 - -4 - (-2 - (2 - 8)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2306434717?\nAnswer: 743, 3104219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.199 plus 5892508?\nAnswer: 5892507.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -24929935 - 0.4?\nAnswer: -24929935.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:41 PM and 9:27 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 10247 plus -4?\nAnswer: 10243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -12*m. Let t(q) = 15*q**2 + 102. Give y(t(w)).\nAnswer: -180*w**2 - 1224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2 + (-7 - 0))\/1. Let w = -9 - v. Suppose k + 5*f - 25 = w, 0*k + 15 = -4*k + 3*f. Solve 5*m = -3*i, -3*i + 4*m + 27 = -k*m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 1\/4, -1\/5, 5.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the first derivative of -17*z**2\/2 + 7*z + 4. Suppose -5*s - 10 = 5*f, 5*f + 3*s + 6 = -6. Is c(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1008091.724 rounded to the nearest ten thousand?\nAnswer: -1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 72*j + 581. Let l be z(-8). Suppose b + 5 = 4*i + i, -5*i + 10 = 0. Solve 0 = -b*o + 4*h + 4, -4 - 1 = -4*o + l*h for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0693 + 3.\nAnswer: 3.0693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the third derivative of -h**6\/120 + h**5\/30 + h**4\/6 - 2*h**3\/3 - 26*h**2. Let n be (5\/(-10))\/(1\/10). Let f = n + 8. Give a(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/(-60) + 47\/(-90).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11138 by -8.\nAnswer: 5569\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/(-8)*(-177)\/(-26). Let s = m + -154\/13. Find the common denominator of 2\/23 and s.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16.5, 1\/2, -0.087, -4, 1.3 in increasing order.\nAnswer: -16.5, -4, -0.087, 1\/2, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 5*d**2 + 4*d - 1. Let u(x) = 6*x**2 + 5*x - 1. Let k(h) = 5*f(h) - 4*u(h). Let b(m) = -m**2 + 6*m + 4. Let g be b(7). Calculate k(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1*-28*3\/(-4). Let a = c - 46. Let l = -14 - a. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 16768239*a**3 + 2*a**2 + 6933181*a?\nAnswer: 100609434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1269847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 62*h. Let s(d) = -4073*d. Calculate s(u(m)).\nAnswer: -252526*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*b*j*n - 13*b*j - 8*b*n + 30*b + 479*j*n - 41*j wrt b?\nAnswer: -3*j*n - 13*j - 8*n + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*q - n + 44 = -6*q, n + 37 = 4*q. Calculate the smallest common multiple of 4 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9343164139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9072 - -9077. Let k = 24 - 44. What is the smallest value in -0.07, o, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:43 AM and 9:11 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the third derivative of m**6\/120 - m**5\/15 - m**4\/8 - 2*m**3\/3 + 12*m**2 + 3*m. Let u be 2\/(-4) - 22\/(-4). Calculate z(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -22038 + 22039. Let g(r) = 3*r**2 - 5*r - 2. Let s(o) = o**2 - o. What is z*g(b) - 2*s(b)?\nAnswer: b**2 - 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11 + 10.91. Let p = 0.1 + k. Which is bigger: -2\/7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the third derivative of f**7\/70 + f**6\/120 - 13*f**4\/4 + f**2 - 73*f. What is the second derivative of h(d) wrt d?\nAnswer: 36*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 3*l**2 + 2*l - 1. What is the remainder when (120\/(-45))\/(-4)*69 is divided by t(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 52, 338, 1116, 2632, 5132, 8862, 14068?\n\"Answer: 41*m**3 - m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1590, 4481, 8694, 14229, 21086?\nAnswer: 29265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8924965.\nAnswer: 5, 7, 19, 13421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -131*d**2. Let p(r) = 370*r - 744*r + 377*r. Give w(p(t)).\nAnswer: -1179*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3.6 > -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12634 = 4*r - 2505230. Let p = r - 239466. Round p to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -9*z**3 - 174*z**2 - 307*z - 4636. Give h(-19).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:30 AM and 3:53 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (68\/(-6))\/((-4)\/6). Let s = 30 - q. Calculate the remainder when 51 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 184 - 1?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes after 11:22 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*n + 17*d - 21*d, 0 = -5*n + d + 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((5*3*sqrt(33))\/sqrt(11) - (sqrt(192) - -5*sqrt(192)*3)**2).\nAnswer: -49153 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 14) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 67 divide 74426633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -160688 divided by -40172?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(-2) - 9\/(-6). Factor -6*i**2 - 2 - i**2 - i**3 - i**2 + 4*i**a - 5*i.\nAnswer: -(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2221168, -4442337, -6663504, -8884669, -11105832, -13326993?\n\"Answer: y**2 - 2221172*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -22 - -37. Let m(j) = -j**2 - 37*j + 106. What is the remainder when m(-39) is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v, 1 h, and 2 q when four letters picked without replacement from lvqvllhqkvllhllllll?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g - 3*n + 21, 3*g + 2*n - 40 = -16. Let d(u) = -9 - g*u + 9 + 0 - 8. What is the tens digit of d(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5 + 12\/(-4) - -2. Let o(m) = m**2 - 4*m + 4. Let y be o(c). Solve -5*r - 3*l = -10, 3*r + l - y = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + 5*o - 2*o + 4, -5*o = -4*u + 9. Suppose -i = 2*j + 1 + u, -34 = 3*i - j. Which is the second biggest value?  (a) -5  (b) 2  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 31 - 16. Let y be 1\/(3\/t - 0). Suppose 0 = -h + y*h - 1052. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 111, 196, 323, 480, 655?\nAnswer: 836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-2*(190\/(-380))\/((-1)\/(-28)))\/(-2)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o = 7 - 13 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 32*g - 3. Let a(q) = -q + 1. Give -6*a(z) - 2*f(z).\nAnswer: -58*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 34623*w**5 - 37*w**2 - 50.\nAnswer: 2077380*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 + m + 1. Let g be v(2). Let j be (-6)\/(-3)*g*-2. What is the third derivative of -z**j + 0*z**4 + 2*z**2 - 3*z**2 wrt z?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -358*p**5 + 109006*p**4 + 2*p - 8289461 wrt p.\nAnswer: -7160*p**3 + 1308072*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*w - 5*w + 16 + 0 - 2*w + 5*w.\nAnswer: -11*w + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19079523 is divided by 86.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 271 a factor of 660595020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 80 and 2250?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**2 - 3*o - 6. Give z(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 287b + 45?\nAnswer: 28c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/200 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 30\/(-25)*(28\/(-14))\/((-12)\/(-50))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 535 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 407803.9 litres?\nAnswer: 407803900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1\/37  (b) -2\/7  (c) 0.01  (d) 0.4  (e) 5\/2  (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31329095*g - 31329094*g = -23*n + 113, g = -4*n + 18 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**2 + 2*o - 3. Let f = -29 + 18. Let m = -6 - f. What is the least common multiple of m and r(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -13*h**2 - 113*h - 66. Determine m(-9).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 10 - (-14 - (3 + 13 + -4 + 15))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -299*n**2 - 175*n**2 + 107*n**2 in the form c + s*n + i*n**2 and give i.\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1444997 divided by 4?\nAnswer: -1444997\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5107 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 61 - ((-19 - 49) + 53).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 32184812?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -3*w**2 - 2*w + 2. Let y(b) be the first derivative of -11*b**3\/3 - 9*b**2\/2 + 9*b + 1. Let p(d) = -9*o(d) + 2*y(d). Let q(r) = 5*r. Give q(p(g)).\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 2\/15 of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 + -100101110?\nAnswer: -100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -16 - ((-36)\/3)\/(-4). Let q = 40 + z. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*u - 11*u - 7*u - 5*u - 7*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 166104 - 3?\nAnswer: 166101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/6*(-279)\/31.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from buujzqqe. Give prob of sequence jqzb.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 7 - (9 - (12 + 1 + -14))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(396)*-6.\nAnswer: -216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 5 = -2*p - 3*p, -5*p + 30 = -3*n. Suppose 0 = -7*k + p*k. Let h = k - 1. Which is smaller: 1\/4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/(-10))\/(1\/(-20)*-8). Suppose -5*a + 32 = 4*d, -a + 0 - 2 = -2*d. Suppose s + 2*u = -10, -s - 3*s - d*u = 20. Which is greater: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 2994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 243 minutes after 11:33 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 237552474 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 5, -2\/5.\nAnswer: -9, -2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*i**2 + 395*i - 200*i - 193*i.\nAnswer: 5*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*q**4 - 2*q - 2 + 2*q**3 - 4*q**3 + 3*q**3 as k*q + m*q**2 + l + p*q**3 + b*q**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(5445))**2 + (sqrt(225)*-3)\/sqrt(5).\nAnswer: -9*sqrt(5) + 49005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 10183*u**2 - 48551?\nAnswer: 20366*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 52*u**4 - 19028*u**3 + 1739964*u**2 + 133956*u = 0.\nAnswer: -1\/13, 0, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 21854, 43701, 65544, 87383, 109218, 131049, 152876?\n\"Answer: -2*t**2 + 21853*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -204*s = 105*s - 13905. Calculate the remainder when s is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -254332*r*t**2 + 2*r*t - 943*r - 2*t**2 + 2*t - 19 wrt t.\nAnswer: -508664*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = x + 18. Suppose 33*u = x*u - 10. Let l(n) = -27*n + 9. What is the units digit of l(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 58*g**3 - 1924*g**2 + 73*g + 111002578.\nAnswer: 174*g**2 - 3848*g + 73","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*x - 8 - 6. Solve 6 = -5*t + x for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 23, -5, -16 in descending order.\nAnswer: 23, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 210 divided by -6.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 28*d**2 + 3*d - 3. Let g be b(-3). Suppose -q + g = 4*q. Suppose -5*i + q = -4*i. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 2*o**2 - o + 1. Let d(p) = -9*p**2 + 14*p - 135. Let x(t) = -d(t) - 5*v(t). Let l be x(-19). Sort 1, l, -3.\nAnswer: l, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 22881 and 1.5.\nAnswer: 34321.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 6*a - 15. Let o(y) = -20*y + 70. Let w(i) = 9*h(i) + 2*o(i). Determine w(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*q**3\/7 - 906*q**2 + 12675*q\/7 - 6336\/7.\nAnswer: 3*(q - 2112)*(q - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 25838249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 - 20021?\nAnswer: -20012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*z**3*z*z**(1\/38) assuming z is positive.\nAnswer: z**(191\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((-7770)\/(-700) + (-33)\/3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 388 is divided by 112?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -4400841 plus -641036?\nAnswer: -5041877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*y**2 - 4*y**2 + 0*y**2 + 1190*y + 42*y to the form g*y + x + m*y**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 8018511 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and 14?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5, -7, -3, 126, 3, 1 in ascending order.\nAnswer: -7, -3, 1, 3, 4, 5, 126","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let g be -156 + 155 + (-13)\/(-21) - (-2)\/3. Which is the fifth biggest value?  (a) 1\/10  (b) g  (c) 9  (d) -5\/2  (e) 2.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**5\/10 + q**4\/10 + q**3\/5.\nAnswer: -q**3*(q - 2)*(q + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.2 - 0.4. Suppose -70*s = 8 + 202. Sort j, -2, s.\nAnswer: s, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 2 + 4 = 0, 5*p - 18 = 4*d. Let f be d - (2\/(-20) - 2). Let u = 0.9 - 1.2. What is the nearest to u in -5, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-1) - (-1 - 2). Let o = -4 - 1. Let q = o + 2. Put q, w, -2\/9 in increasing order.\nAnswer: q, -2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-15)\/9)\/((24\/(-3))\/(-24))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, t: 6, h: 11}. Give prob of picking 1 t and 1 s.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -2*t + 16. Let n be v(9). Let l = 2 + -3. Which is the third biggest value?  (a) n  (b) 4  (c) 0  (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2610\/4 - 12\/24. Suppose -235 = -l + o. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 5*y**2 - 15*y - 14. What is the remainder when 928 is divided by b(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c**2\/5 + 344*c - 73960 = 0.\nAnswer: 430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -93*t. Is c(-1) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4, -0.5 in increasing order.\nAnswer: -4, -1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -2*w**3 + 2. Let r(z) = -655*z**3 - 6. Calculate -6*q(f) - 2*r(f).\nAnswer: 1322*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*o + 27745 = 28963 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 17786, 17976, 18166, 18356, 18546?\n\"Answer: 190*h + 17596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w - 3*w - 4. Let d be (-2)\/3*219\/w. Let a = 269 + d. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v + 3*v - 2*v**2 - 52*v)*(5*v - v - 2*v).\nAnswer: -4*v**3 - 90*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/8 and 12\/1522421?\nAnswer: 12179368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 8513 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -249572*k - 249571*k + 499143*k + 282 - 45*k**2.\nAnswer: -45*k**2 + 282","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 1 - 3 = 0. Let v(l) = -l**3 + 6*l**2 + l - 11. Let f be v(6). What is the smallest value in -2\/13, f, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = 8365 + 13634. Let n = v - -43873\/6. Find the common denominator of n and -85\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/11)\/(l**(9\/4)\/l))\/(l*l*l**17\/l*l)**26 assuming l is positive.\nAnswer: l**(-21787\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -3*h**2 + 4*h + 3. Let n be s(3). Let j be (1\/2)\/((-26)\/n + -2). Suppose -270 = -3*b - p - 31, b + j*p = 69. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23660969 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -195*q. Let f(h) = 4*h - 275. Determine k(f(c)).\nAnswer: -780*c + 53625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 2*m**4 + 4*m**3 + 10*m**2 - 16*m. Let n(t) = 3*t**4 + 2*t**3 + 11*t**2 - 16*t. Let k(p) = -7*a(p) + 6*n(p). Factor k(x).\nAnswer: 4*x*(x - 4)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + w)*(4 - 5 - 2) + 71 + 2*w - 271 + 20 + (1 - 3 + 0)*(-w + 3*w + 0*w).\nAnswer: -5*w - 180","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -298*k - 1364 = -579 + 3089 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 9, p: 11}. What is prob of picking 4 d?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 11793182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the second derivative of -v**5\/20 - v**4\/2 - 8*v**3\/3 - 11*v**2 - 111*v. Let m be q(-5). Calculate the highest common factor of m and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 81, 80, 79, 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -4*x**2 + 19*x - 273. Calculate v(16).\nAnswer: -993","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-61)\/((-1647)\/(-90))*6\/(-4). Suppose -58 = 4*j - 5*j. Put l, j, 0, -2 in decreasing order.\nAnswer: j, l, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 3 - 5)*(y - y**4 - y) + 5*y**4 - 2*y**4 + 0*y**4 + 9*y**3 + 3*y**4 - 282*y - 285*y + 568*y as s*y + h + m*y**3 + k*y**4 + r*y**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 34810 and 2630?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:14 AM and 1:51 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -16 - -22. Let d = 14 - 10.5. Let m = 4 - d. What is the second biggest value in -0.1, m, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1151, -4188, -9253, -16352, -25491, -36676?\nAnswer: -49913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange t**4 - 27*t - 4*t**2 - t**4 - 16 + 15 + 7*t**4 + 23*t + 7*t**3 to the form d*t + z*t**4 + h*t**3 + v*t**2 + u and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -811*v - 70. Calculate h(-1).\nAnswer: 741","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1314 by 657.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the first derivative of -1\/4*b**4 + 2 - 5\/3*b**3 - 2*b + 0*b**2. What is z(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1526, -3110, -4706, -6320, -7958, -9626, -11330?\nAnswer: -13076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 19 = -3*j + 3*u, -5*j + 2*u + 19 = 0. Solve j*m = 5*i - 5, -3*i - 5*m - 33 - 4 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (6\/15)\/(50\/(-119269125)*-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 3*y + 18. Let a be w(-10). Calculate the common denominator of -63\/5 and ((-22)\/(-21))\/(2\/a).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -j**3*u + 186428*j**3*x + 2*j**2*x - 2*j*u**2*x + 2*j*x + 1515*u*x wrt u.\nAnswer: -j**3 - 4*j*u*x + 1515*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 663 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**3 + 13*b**2 - 16*b + 223. Let s be d(-15). Solve -12 = s*j - 12*j + 2*c, 4*c + 18 = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 333*r + 417219 - 435867 for r.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 78387, 773 in ascending order.\nAnswer: 5, 773, 78387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 5*6.58\nAnswer: 32.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 38 - 29. Suppose -t + 2 = -b - r, -3*t = 2*b + 17. Let h(d) = -17*d - 15. What are the prime factors of h(b)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22681925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -27*u**3 - 8*u**2 + 25*u + 9. Is c(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v + 2*a - a + 24, 0 = -3*a + 12. Let w = 2 - 50. What is the tens digit of (w\/v)\/4*7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-12)*y*y)\/y*y**14)**(-7)\/((y\/(y*(y\/y**(2\/9))\/y))**(-1\/3)\/(y**(-2)*y*y**(-8))) assuming y is positive.\nAnswer: y**(-808\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -414 - -7040\/17. Let u = h + -31\/119. Let o be (-33)\/6 - 70\/(-28). Put 4\/5, u, o in ascending order.\nAnswer: o, u, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - (-8 + 11) - (36 - 64).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 139 divide 1601558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1*(-8 + 9) + 8\/2. Let u(k) be the third derivative of -1\/6*k**3 + 0 - q*k**2 + 1\/60*k**5 + 0*k - 1\/48*k**4 + 1\/240*k**6. Let u(x) = 0. What is x?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 11 + 6 = 0. Calculate the greatest common factor of n and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 0 + 10 = 0. Suppose i*j = 2*j - 51. Let a = 19 - j. Calculate the highest common divisor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 269330685 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 + 315?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*k**4 + 3*k**4 + k**4)*(-4*k - k + 6*k)*(2 + 2 + 0).\nAnswer: -4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -32 - (-13 - -8) - -10 - (-55 - 18).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 23*b**2 + 80*b - 28. Let s(t) = -20*t**2 - 69*t + 28. Let w(l) = -7*m(l) - 8*s(l). Calculate w(-10).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89 - 9 - 86 + 278 + 26*m - 88.\nAnswer: 26*m + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 10012 (base 3) to base 5\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 32*o. Let q(u) = -9 - 10 + 19 - 87*u + 88*u. Determine t(q(l)).\nAnswer: 32*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 + 20111102001201011?\nAnswer: 20111102001201100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b + 8 = 4*b. Suppose -b*n = 5*q + 11, -n - 2*q - 1 = 3. Is 6*53 + 3 + n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooj when three letters picked without replacement from jjoojjjojjjjoojj.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 425, 461, 521, 617, 761, 965, 1241?\n\"Answer: 2*w**3 + 22*w + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -29611 times 0.12\nAnswer: -3553.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 + 3. Let g(k) = 4 - j*k + 0*k - 3 + k**2 + 0*k**2. Calculate the remainder when 29 is divided by g(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(19) - (sqrt(19) + (1 + sqrt(19))**2 + 1) - ((sqrt(38)\/sqrt(2) + 4)**2 - sqrt(19)))*5.\nAnswer: 135*sqrt(19) + 840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12736 - 11411. Calculate the remainder when n is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.0031 and -0.4.\nAnswer: -0.4031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 2*k**3 - 2*k + 2. Let a(n) be the second derivative of -n**3\/6 + n**2\/2 - 2*n. Suppose w - r = 5, -4*r - 6 = -2*w - 3*r. Give w*z(m) - 2*a(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 383 - 5*b**3 - 1161 + 389 + 389.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r + 2. Let o be d(6). Let t = 6 + o. Find the third derivative of y**5 - t*y**6 - y**6 - y**5 + y**2 wrt y.\nAnswer: -360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/18801, -0.71, 5 in descending order.\nAnswer: 5, 2\/18801, -0.71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 2*s = -12, 4*i + 2*s - 30 = 4*s. Let c(k) = -2*k**2 + 139*k + 361. Let l be c(72). What is the greatest common factor of l and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the third derivative of 0 + 0*r + 1\/12*r**4 + 1\/2*r**3 - 2*r**2. Let q be v(-2). Which is greater: -2\/13 or q?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 272 and 10?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 35778*t**2*y**3 - 23*t**2*y - 14032169*t*y**3 - 2*t*y wrt t?\nAnswer: 71556*y**3 - 46*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24 and 4056.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-78)\/(-520)*-2*20\/(-27)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7886 greater than 7888?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 220, 221, 222, 223?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 4, m: 2, p: 3, e: 1}. Give prob of picking 1 k and 1 e.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*d + 2396 + 1366 = 0. Is 24 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**2 + 6*v - 3. Let c be g(5). Suppose -102 = -c*d + 4*h, -23*h + 22*h + 2 = 0. Calculate the least common multiple of 5 and d.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -16 + -252?\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 z, and 1 q when three letters picked without replacement from {z: 1, q: 4, x: 1, k: 5}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -1 - (-4 + 3) - -1 - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17656, 35370, 53084, 70798?\nAnswer: 88512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*r**3 - 6*r**3 + 2*r**3 + (4 - 9*r - 4)*(-2*r**2 - 2*r + 2*r) + (-r + 2 - 2)*(2*r + 2*r**2 - 2*r).\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000134586 to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/47896 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 94578484 divided by 169\nAnswer: 559636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes before 2:10 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -121904 and 5.\nAnswer: -609520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 9*t**2 - 2*t - 2. Let h(x) = x**3 - x - 1. Determine 2*h(p) - s(p).\nAnswer: 2*p**3 - 9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1301 + 2223412?\nAnswer: 2230213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 10*o**3 - o**2. Calculate b(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(2\/5)\/(j*j**13\/j)*(j\/(j*(((j*j\/((j*j**(17\/4))\/j))\/j)\/j)\/j))\/(j*j\/j**(-12)*j) assuming j is positive.\nAnswer: j**(-447\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -37*b + 6. Let d(m) = -13*m + 2. Let u(k) = 17*d(k) - 6*n(k). Let i be 0 + -1 - 21\/(-7). Suppose -i*j + 18 = 2*z, -2*z = -4*z - 4*j + 22. Give u(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -82\/1720485 and 77\/33735.\nAnswer: 1720485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 at most -0.717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((g + 2*g - g)*(2 - 3 + 2) - 4 + 4 + g + 70 - 70 + 6*g)*(489 + 490 + 493 - 1472 - 744*g).\nAnswer: -6696*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 6, -2.\nAnswer: -13, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 2  (b) -0.2  (c) 4\/3  (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 2*t + 0*t - 2100 = 0, 0 = -3*t + 6. Is 1\/(22\/4) + v\/22 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*h**2*t**2 - 1091*h**2 + 4569*h*t**3 - h*t + h + 9*t**3 - 247*t wrt t?\nAnswer: -4*h**2 + 27414*h*t + 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, -5, -3, -1, 5, -216.\nAnswer: -216, -24, -5, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5615 + 2318 = -511*w - 1776 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 27 = -n, -5*u + 35 = 2*n - n. Solve 5 = -u*l + 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*j + 2 + 4 - 8 + 40*j + 71*j.\nAnswer: 158*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1182946.\nAnswer: 2, 79, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 63\/1082 and -32\/7.\nAnswer: 7574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - x - 9 = 0. Suppose 2*q = 2*i + 38, q + x*i = -1 + 4. Let z = q - 2. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 3 + 5 + 383*m.\nAnswer: 383*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes after 9:21 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -895 + 897. Let i(a) = -a + 7. Let f be i(-6). What is the first derivative of f + 9 + w + 37*t - 2 wrt t?\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in twenty-nine halves of a micrometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -73*z. Let n(x) = -141*x**2. What is n(d(j))?\nAnswer: -751389*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r - 9. Let w be u(6). Let v(d) = d**3 - 8*d**2 + 2*d - 19. Let k be v(8). Let y be -7*(-16)\/(-1176)*k. Put y, 2, w in descending order.\nAnswer: 2, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 289, -7, -0.11?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(-10) + 42\/10. Find the common denominator of 0 - 21\/10 - 1 and 14\/o*14\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2842 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 0.02  (b) 4\/5  (c) -218  (d) -232\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 68*n**3*v - 169*n**3 - 20*n**2*v - n**2 - 22*n - 739276*v wrt n.\nAnswer: 408*n*v - 1014*n - 40*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3338 = -17*w + 1082. Suppose -w*d + 263*d - 672 = 0. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23935296 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 95360645.\nAnswer: 5, 23, 829223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the first derivative of -g**3 + g + 4. Suppose -3*s + 1 = -a, 2*a = -2*a + s - 4. Let b be j(a). Let k(t) = -3*t + 2. Calculate k(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 4*j + 30. Suppose 4 - j = -2*n. Suppose -5 - 20 = -n*g - 5*q, 0 = 3*g - 3*q + 15. Which is greater: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 637*l**3 + 4 - 7 - 427*l**3.\nAnswer: 210*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*i = 4*i - 10. Let w be i - (4 + 4\/(-2)). Put w, -2, 0 in descending order.\nAnswer: 0, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r - 3. Let l be c(-6). Let g(t) = l*t**2 - 66*t + 66*t + 1. What is g(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18*j - 11*j - 9*j)*(-3*j - 3*j - 3*j**3 + 5*j).\nAnswer: 114*j**4 + 38*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 323019777827\/152 - 2125119936. Let z = j - 10181. Let n = 3\/19 - z. Which is the third smallest value?  (a) n  (b) -3  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(153)\/(sqrt(99)\/(sqrt(44) - sqrt(11))) + sqrt(1377) + (sqrt(1377) + sqrt(1377)*-1 - sqrt(1377) - sqrt(1377)) + 1.\nAnswer: -8*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 219*n + 3 - 2.\nAnswer: 219*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (5 + -3)\/((-1)\/7 - 30\/(-42))\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**3 - 7*c**2 - c - 2. Let k be a(-7). Suppose 0 = -14*r + 19*r - 65. Suppose k = 3*q + 2*q, -2*i + r = q. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**2 - 5*a - 2. Let d be m(-11). Let l = 30 + d. Let c = -22 - l. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(99)*2 + (sqrt(44)\/sqrt(4))**2 + -1.\nAnswer: 10 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6 - 9) + (6 - 1). Suppose -v*d = 2*d - 144. 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 greatest common divisor of 1123713 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -1042*t - 45. Let p(l) = -l - 5. Determine 4*f(g) - 36*p(g).\nAnswer: -4132*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 676 = 130*w - 1794. Solve 97 = w*f - 55 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o. Let z(i) = 181793*i. Determine d(z(w)).\nAnswer: 181793*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 9*k - 29. Determine y(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -26 - -14. Let n = -12 - v. Which is smaller: n or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1130*b**2*q**2 + b**2*q - 35*b**2 - 17*b*q**2 - 2*b*q - b - 267*q**2 + 191*q + 15 wrt q.\nAnswer: -2260*b**2 - 34*b - 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1707441 by 947.\nAnswer: -1803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 32121 + 8350. Suppose -11*q + p = -14122. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 401720 is divided by 1673?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 0.5  (c) -1\/213  (d) 2\/3  (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**2 + v + 2. Let h be d(-2). Suppose 0 = 5*i + 4*a - 82, 30 = -i + 4*i - h*a. What is the remainder when 124 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {h: 2, u: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 269932879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*n**3 - 8*n**4 + 1 - 9*n**3 + 10*n**4 - 4*n**4 - 4*n in the form x*n**4 + s + l*n + a*n**2 + f*n**3 and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 2 l when three letters picked without replacement from {l: 2, f: 9}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 - -4. Let a(r) = -7*r**2 - 3*r - 7. Let k(d) = 3*d**2 + d + 3. Let u(s) = 4*a(s) + 9*k(s). Let c be u(f). Is c > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2635*k - 67 + 34 + 33.\nAnswer: 2635*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2098975725.2 rounded to the nearest 1000000?\nAnswer: 2099000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 - 2 + 4)*(0*z - 3*z + z) + 2*z - 2*z - z)*((0*z + 0*z + z)*(4 - 3 + 1) - 7 + 7 + z - 3*z + 3*z + z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + 2*i + 67, -i - 128 = -2*u - 0*i. Suppose 4*a = a - 3*v + u, -5*v + 20 = 0. Solve -4*y - a + 1 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1372531 * -0.1\nAnswer: -137253.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-3))\/((12\/45)\/(-4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 459749670 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o - 7*o. Let l(z) = z**2 - z + 2. Suppose -3*k = -8*k + 35. What is the least common multiple of l(o) and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 125 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/(-16) + (-22)\/(-24). Let k = -6 + 2. What is the smallest value in 6, z, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 + 2. Suppose 8 = 2*m - y. Suppose x = -0 + m. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 141*i + 5 = 136*i, 3*a + 5*i = 10. Solve -a*n - r = 28, -r = n + 4 + 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 25 + 720 + -9 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 25558 - 24308. What is the lowest common multiple of c and 110?\nAnswer: 13750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 50 in 0.4, -0.5, -7, 0.7, 1214?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 45522115 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -55.22 - -14.09. Let w = s - 0.87. Let h = 41 + w. Sort 0.1, 4, -4\/5, h in descending order.\nAnswer: 4, 0.1, -4\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2. Let h(i) = 1373*i - 2. Determine l(h(f)).\nAnswer: -1885129*f**2 + 5492*f - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, 18, -4, 38, -569, 1, 4 in decreasing order.\nAnswer: 38, 18, 17, 4, 1, -4, -569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*z - 5*b - 5 = 10*z, 0 = 2*b + 6. Let u(p) = 3*p + 5. Let f(t) = -31*t + 5 - 5 + 30*t - 1. Give z*f(g) - u(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**(-5))**(1\/36))**(30\/7))**(2\/7) assuming m is positive.\nAnswer: m**(-25\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-6)\/o)\/o**3*(o**(-1\/3))**(-1\/26) assuming o is positive.\nAnswer: o**(-779\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-48983)\/(-4026) + 2\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1*28 + (-5 - -3). Let u be v\/10 + (-14)\/(-35). Suppose 3*r - 18 = h, 6 = r + u*h + h. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 342221 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 7508609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the third derivative of d**6\/120 - d**5\/20 - 5*d**4\/8 + 5*d**3\/3 + 13300*d**2. Calculate r(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 95, 255 in decreasing order.\nAnswer: 255, 95, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 41\/14, -5, -4, -3\/7, -1\/25?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1792 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2389 + 2393. Solve 3*o + 4 = 2*c, -2 + 4 = -d*c + o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.684184 + 2.7. What is w rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -883107 divided by -2.\nAnswer: 883107\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**2\/5 + 20305632*d\/5 - 60916914\/5.\nAnswer: 2*(d - 3)*(d + 10152819)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6205496 is divided by 225?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 498, 4014, 13568, 32184, 62886, 108698?\nAnswer: 172644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 343 or 8\/407?\nAnswer: 343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -635 - -925. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 - 1. Let f(n) = -2 + 59*n + 54*n - 126*n + 3. Calculate f(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 796 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -14*1*(-39)\/((-507)\/(-13))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/21*(-1)\/1*3\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 2)*(0*v**3 - 3*v**3 + v**3) + 4*v**3 + v**3 - 4*v**3 + 244*v**3 + 405*v**2 - 1 - 405*v**2.\nAnswer: 241*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46*s - 91*s + 32*s + 29*s.\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -362*h**2 - 168*h**2 - 102*h**2.\nAnswer: -632*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.6?  (a) 2  (b) 61  (c) 3\/28  (d) 4\/5  (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -88 = -8*h + 72. Suppose -x - h = -5*x. Find the second derivative of -4*m + 10*m + 2*m + 0*m**5 + 6*m**x wrt m.\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 (base 8) in base 4?\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 55045  (b) 1\/7  (c) -0.03  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - (-1 + (6 - 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes after 5:49 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 15106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 - 12*x**2 + 12*x - 16. Determine t(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -2*k**2 - 88*k - 318. What is the remainder when 84 is divided by h(-39)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z - 8. Let u be p(-6). Let j be (0 + (4 - -2))*u. Let o be (j\/21)\/((-6)\/21). Let i(v) = -v**3 - v**2 + 2*v - 3. Determine i(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6\/11 in 69, -1\/10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*d**2 + 10*d**2 - 86*d**2.\nAnswer: -66*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of s**3\/3 - 1. Let z(y) be the first derivative of -y**2\/2 + 22. What is a(z(k))?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 804952264 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-32)*98\/147)\/(96\/2880).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((0 + sqrt(425))*-1 + 5)*6)**2.\nAnswer: -1800*sqrt(17) + 16200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s - 2*o + 10 = -5*o - 66, 116*s = -o - 3716 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*m + 3916 - 2096 = 0 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-39))\/(652\/(-6357)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 73*t + 2 - 40*t + 8*t**2 - 33*t to s*t + n*t**2 + y and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.06 - -0.16. Let a = i + -0.2. What is the third biggest value in 3, 0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16046429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*o = -574*o + 2*o - 15937 - 8381 for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 4 = p. Let w(n) be the second derivative of -2*n**3 - 9*n**2\/2 + 17*n. Does 33 divide w(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0439927 millilitres to litres.\nAnswer: 0.0000439927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -2*t - 7. Let x be z(-5). Suppose 0*y = -2*m - 2*y + 2, -3*y = -3*m + 21. Find the third derivative of m*h**2 + 27*h - 5*h**x - 27*h wrt h.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 2*g**2 + 34*g - 5. Let c be (6 + 2)\/4 - -3. Let a(u) = -3*u**2 - 33*u + 6. Let b be (5*12\/(-70))\/(1\/(-7)). Let w(z) = b*m(z) + c*a(z). Factor w(p).\nAnswer: -3*p*(p - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2716*q**2 + 199*q**4 + 1987*q + 9*q**3 + 5429*q**2 - 2714*q**2 wrt q?\nAnswer: 4776*q + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 13 - k + 3 + 10 - 15. Let q be g(11). Suppose -l + 4*s + 12913 = q, 3*s + 38335 = 3*l - 440. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 378 and 7671699?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.046 + 3.046. Put -5, 0, m, 4 in decreasing order.\nAnswer: 4, m, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-8)*((-972)\/(-135))\/12?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 - 4. Let r = 465 - 466. Let l be (6\/435)\/((-9)\/5 - r). Sort j, -3, l in ascending order.\nAnswer: j, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -34535 (base 8) in base 14?\nAnswer: -54cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.009442 - -58.329558. Let r = -0.159 + w. Round r to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96\/32 + 6\/(-4)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-5)\/2)\/1*(5 - 7). Solve -w*v - 22 = 3*g, 4*g - 16 = -32 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*470\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -57158.3, -1, 4\/21 in decreasing order.\nAnswer: 4\/21, -0.3, -1, -57158.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/10)\/((-3 + -3)\/(-12)). Which is the nearest to s?  (a) 2  (b) -2  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l = 10*l + 1020. Is -61 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 - -4. Let r = 330 - 330.4. Which is the smallest value?  (a) -1\/2  (b) l  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -f**5\/9 - 40*f**4\/9 - 467*f**3\/9 - 644*f**2\/9 + 1152*f - 1024 = 0.\nAnswer: -16, -12, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 5080655483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72)\/sqrt(9) + 1 + sqrt(32) + sqrt(18)\/(-4*(sqrt(9)*-1 - sqrt(9))))**2.\nAnswer: 49*sqrt(2)\/4 + 2433\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 5130969 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 3*j**2 - 2*j + 45. Calculate v(-6).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2568\/7 or -368?\nAnswer: -2568\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.96923 + 273394?\nAnswer: 273392.03077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -151 times -38?\nAnswer: 5738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 43 = -26. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 + 20. Let r be (-2)\/4 + 485\/j. Let f be (-196)\/(-16) - 1\/4. Calculate the highest common factor of f and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.4  (b) 4\/37  (c) 5\/4  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in thirty-seven fifths of a millennium?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*c**2 - 4*c**2 + 0*c**2)*(2*c + 3 - 3 + (3 + 4 - 6)*(-c + c + 2*c) + 8*c + 3*c + c).\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13426560 and 730080.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from kilekck.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 5*h - 21 = 0, 0*h + 1 = q - 3*h. Solve 2*k + q + 2 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d\/(d\/(d*d**(5\/4)))*d**(-12)*d)\/(d**0)**(7\/6))**(-11\/2) assuming d is positive.\nAnswer: d**(341\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1337852672 a multiple of 544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r - r**2 - 2*r**2 + 5*r**2)*(-60*r - 139*r - 76*r).\nAnswer: -550*r**3 - 275*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -15466 + 0?\nAnswer: -15466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m\/(m**(-4)\/m*m*m))**(3\/5)\/(m**(2\/3))**(-1\/2) assuming m is positive.\nAnswer: m**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 5797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -u + 12. Suppose -4 = -u*k - 2*k. Let y(l) = l**3 + 5*l**2 + 5. What is the smallest common multiple of k and y(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2 + 11*z - 70*z + 26*z + 21*z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -15*i**2. Let g(z) be the second derivative of -z**3\/6 - 23*z. Give g(s(c)).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a*a**(2\/3)*a*a*a**(-6)*a**(-2)*a*a**(-5) assuming a is positive.\nAnswer: a**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 5*q - 20 = 10, -3*j + 5*q = -26. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/45*-6*(-11)\/176*-2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b - 12*b + 8*b)*(-1 - 2 + 8)*(-3*b**4 - b**4 + 7*b**4).\nAnswer: -120*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 14 - 12. Let w = 6 - v. Suppose -2*c = -6*c - b + 99, 5*c = -w*b + 132. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b = 4*i - 3, 0 = b - 17*i + 12*i + 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 + -4137?\nAnswer: -4135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/681996 and 16\/1267.\nAnswer: 123441276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**5)**(-2\/89)\/(((r**16\/r)\/r)\/r**23) assuming r is positive.\nAnswer: r**(791\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the second derivative of -d**5\/4 + d**4\/3 - 2*d**3 + 2*d**2 + 24*d. Let f be r(-9). Does 15 divide (-6)\/10 - -1 - f\/(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 4004116*o**3 + 4899*o. Let z(f) = 1635*f**3 + 2*f. Give -2*i(u) + 4899*z(u).\nAnswer: 1633*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 90 - 80. Let b(z) = -1133*z**2 - 3 + 3*z + 1138*z**2 + 0*z. Let d(h) = -9*h**2 - 5*h + 5. Give v*b(o) + 6*d(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + h = 11, 6*h - 6 = 3*h. Suppose y*r + 0 = -3. Let b = 3 + r. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**5)**20*o**(-2\/3)\/(o*o**26*o) assuming o is positive.\nAnswer: o**(214\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.5 and -1134.2895?\nAnswer: 1133.7895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -407 + 232 + 175 + 2*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - (-425)\/51)*(3762\/133 + -30)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 30 + 30 = 0. Let b(c) be the second derivative of d*c**3 + 3*c + 0 + 0*c**2 - 1\/36*c**4. Suppose b(s) = 0. What is s?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xux when three letters picked without replacement from {x: 2, l: 1, z: 2, u: 1, w: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the third derivative of -c**5\/360 + c**4\/36 - c**3\/12 + 5*c**2. Factor g(k).\nAnswer: -(k - 3)*(k - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 206 is divided by 72.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4929)\/1643*(-2)\/(-38).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 39 + 29*k**2 - 20 - 4 + 43 + k**3 + 56*k. What is the remainder when 6 is divided by w(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 373 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*l**2*r**2 - 6548*l**2*r - 1179*l*r**2 - 1 wrt r?\nAnswer: 4*l**2 - 2358*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -311, -318, -337, -374, -435?\n\"Answer: -l**3 - 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -2*n**2. Let f(j) = -3 - j + 6 - 2 + 2*j**2 - j**2. Let w(z) = 4*z**2 - 5*z + 5. Let v(b) = 10*f(b) - 2*w(b). Determine v(s(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 4*o + 2 = 0, 531 = 3*o + 525 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 2*s**2. Let f(d) = 11*d**3 - 21. Let v(j) = 5*j**3 - 10. Let k(r) = 6*f(r) - 13*v(r). Let w(i) be the first derivative of k(i). What is q(w(u))?\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 451 - 439. Solve 3*l = -2*u - o, -16 = 2*u + 5*l - l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*m + 17 = 17 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + -5 + 5 + (6 - 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the third derivative of 5*o**6\/12 + 7*o**5\/12 - 115*o**4\/24 + 5*o**3 + 125*o**2. Find r, given that z(r) = 0.\nAnswer: -2, 3\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1047620 divided by 140?\nAnswer: -7483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 163723, 654878, 1473469, 2619496?\nAnswer: 4092959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2*(35\/15)\/7*-9. Suppose 4*l - d = -2*d + z, -d = l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10056046 (base 9) in base 14?\nAnswer: 8d68b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 236519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1402.\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o = v + 2*o + 29, 0 = 2*v + 4*o - 12. Let f be (18\/v)\/((-4)\/48). Suppose 0 = 3*z - 3 - f. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3667 - 966 = -370*t - 6842 - 817 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -4*o + 2478, 372 = 3*o - z - 1499. Suppose -o*b + 90 = -616*b. Let w(j) = j**2 - 3*j. Let g be w(4). Solve -g*m = b + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 448 and 64.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 222 + 0.03.\nAnswer: 222.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**2 - h. Let u be d(0). Suppose -2*w + 0*w + 2 = u. Let j = -89\/2 - -271\/6. What is the biggest value in 0.1, w, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-21)\/(-14)*(3 - 1). Let a(q) = -q + q - o*q + 5*q + 3. List the prime factors of a(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-300278)\/(-4)*(-1280)\/(-1408)?\nAnswer: 5, 13649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6637 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26*24.259.\nAnswer: -630.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -86*t**3 + 43*t**3 + 44*t**3 - 2*t + 1 + 5 in the form o*t + n + d*t**3 + j*t**2 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 - -10. Suppose -y - y = f. Solve y = -2*c - 3*c - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 1 z, and 1 c when three letters picked without replacement from {f: 3, g: 1, c: 1, z: 2, i: 3, v: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 764363791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -4*f + 12. Let y be (-2)\/((-6 - -3)\/f). Suppose -c + 44 = y*n, n = -3*c + 2*n + 158. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 664487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 5116141, 10232104, 15348067, 20464030?\n\"Answer: 5115963*p + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3568*k - 3564*k + 38 = -3*x, 36*x + 4*k + 236 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 2 + -29 + (11 - -7).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 459 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 25 - 3895?\nAnswer: -3870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -2*r. Let z(n) = n. Let s(i) = -3*i**2 - 4*i. Let t(o) = -s(o) - 4*z(o). What is q(t(m))?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 - 24 = g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**2 - 7*i - 154. Let n be b(-13). What is the greatest common factor of 159 and n?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, -11, -3\/7, -2\/5, 2\/11, -3, 16?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/4 < 12409\/1008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1020010 - -1121011220?\nAnswer: 1112221210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2567*c + 152002 = 15951 for c.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.045 in -2, 1\/3, -1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-10)\/(-3))\/(16\/120). Find the second derivative of -15*m + 6*m**5 - 14*m + k*m + 3*m**5 wrt m.\nAnswer: 180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3064*s**3\/7 - 3032*s**2\/7 + 734*s\/7 + 8\/7 = 0 for s.\nAnswer: -4\/383, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-5)\/((-2)\/(-1 + 3)). Suppose d = c*d. Find t, given that 1\/3*t**3 + 0*t + 0*t**2 + d = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1101 in 4, 2\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u - 3. Let f = -13 - -8. Let r be g(f). Let p be r - 7*(1 + -3). What is the highest common factor of 144 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8, 26, 44, 62, 80, 98?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 0.2  (b) -1837343  (c) -1\/5  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12985 and 1372.\nAnswer: 363580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, 0, -740, 1, -4.\nAnswer: -740, -5, -4, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -14200 divided by -142\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 9*h + 100. Suppose -11 = 7*w - 3*w - s, 5*w = 4*s. Let r be y(w). Calculate the greatest common divisor of r and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c + 3*z - 1 = 0, -3*c = -517*z + 638*z + 127 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*i = -2*y - 39*i - 15, -30 = y + 5*i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 - 3. Suppose 3*u + 5 = -7, -8 = g*b + 3*u. Suppose -2 - b = 2*j. Which is smaller: j or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 77 = -0*c - 2*n, 2*n = 3*c - 47. Suppose 4*h - c = -h. Suppose -2*s = -3*s + 3*j + 19, h*j = -15. Solve 5*b + l = b - s, b - 5*l + 22 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 685*w**2 + 665*w**2 + 671*w**2 - 2687*w**2 + 669*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51389.\nAnswer: 13, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-30)\/18*(-36)\/(-30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w. Let n be 64\/72*45\/10. Give d(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -87*j + 226 + 94 - 320.\nAnswer: -87*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -506753043*m**3 + 594382743*m wrt m?\nAnswer: -3040518258*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.201 + -0.059. Let m = -0.36 - j. Which is the smallest value?  (a) -2  (b) 0.2  (c) -1  (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 243*l + 6030 + 2357 = -5221 for l.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**2 - 2*h - 9. Let d be v(5). Solve -4*r + 2*o = d*o - 24, -4*o = -12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 26*g. Let y(i) be the first derivative of -i**4\/6 - 45*i + 18. Let p(f) be the first derivative of y(f). Give p(s(c)).\nAnswer: -1352*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 280818 is divided by 509.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -3*l**2. Suppose 64*o + 18 = 73*o. Let x(j) = o*j + 1141*j**2 - 2*j - 1155*j**2. Calculate p(x(s)).\nAnswer: -588*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1041*j**3 + 0*j**2 + 0*j**2.\nAnswer: 1041*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 205 - 109. Suppose 5*b - z - 39 = 0. What is the remainder when b is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*h, 4*s - h = 4*h - 25. Let c = s - -8. Solve 0 = p - 4*p - c for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes before 3:31 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 337469 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 465.7796+-0.1\nAnswer: 465.6796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 4, w: 2, k: 1, r: 6}. What is prob of sequence tw?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -6168302, -70 in ascending order.\nAnswer: -6168302, -70, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 3*r - 7. Let n(m) = -2*m**2 + m + 2. Let w(y) be the second derivative of -6*y + 5\/2*y**2 + 1\/3*y**3 + 0 - 1\/3*y**4. Calculate r*n(j) - 4*w(j).\nAnswer: -2*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 9901.633l in millilitres?\nAnswer: 9901633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the second derivative of -5\/12*n**4 - 24*n + 0*n**5 + 0*n**2 + 0*n**3 + 0 + 8\/15*n**6. Find the third derivative of f(j) wrt j.\nAnswer: 384*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 581 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vjsjzsvuj. Give prob of picking 1 j and 1 z.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Is 4867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 469?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w*w\/((w*(w\/(w\/(w\/(w*w**7\/w))))\/w*w)\/w)*w**7)\/(w\/((w\/w**(2\/9))\/w)*w**4))**9 assuming w is positive.\nAnswer: w**97","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 6323*r**2 - 3209*r**2 - 3136*r**2 + 30*r - 12*r + 18. Let a(m) = 0*m**2 + 3*m + 1 - 2*m - m**2. Calculate 36*a(k) - 2*q(k).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 4 = 3*c - 0, 0 = 3*c - n + 1. Suppose -t - 7 + 37 = c. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4713578 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6*1)\/((-15)\/(-120)*8)*-1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -64 + 42 - 17 - 2*x - 8 in the form j*x + p and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (p**2 + p - p)*(6 + 0 - 4)*(2 - 1 - 3) in the form u*p + r*p**2 + v and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 27*o**2 - 2*o - 171. Let z(j) = -24*j**2 + j + 172. Let t(n) = 2*a(n) + 3*z(n). Differentiate t(s) with respect to s.\nAnswer: -36*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*x + 3*x - 4*x)*(-6 + 3 + 0)*(6 + 1 - 4).\nAnswer: -27*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-43060)\/(-444) + -52 - 45?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 5*x**5 - 19175*x**4 + 23980000*x**3 - 9831527500*x**2 = 0.\nAnswer: 0, 1090, 1655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -73544, 4, -842 in descending order.\nAnswer: 4, -842, -73544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 less than -155?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -2014\/23*b - 19718\/23*b**2 + 1444\/23 - 54\/23*b**4 - 2058\/23*b**3 = 0. What is b?\nAnswer: -19, -1\/3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 348.6 + -345.6. Sort p, -0.32, 3.3 in descending order.\nAnswer: 3.3, p, -0.32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -90 - -94. Is 5 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*w - 5*r - 15, -4*w + r = w - 15 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are 18\/1219 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1532, 6521, 15258, 28043, 45176, 66957, 93686, 125663?\n\"Answer: 50*w**3 + 1574*w**2 - 83*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 4 + ((-3 + sqrt(243)\/sqrt(9))**2 - (sqrt(1152)*-1)\/sqrt(6)) + 1.\nAnswer: -10*sqrt(3) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.4 - -2. Let y = w + -0.60000003. Round y to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 52 = -5*g, -8*g + 5*g - 3*l = -42. Calculate the remainder when 2*(-90)\/(-4)*1 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(-1)*l)\/l)\/(l\/(l**7*l)))\/(l\/(l\/(l**(-4)\/l))*(l\/(l*l\/l**2)*l*l)\/l) assuming l is positive.\nAnswer: l**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -482*m + 694 - 8249 + 1289 = 0 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 428 and 2889.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -2*w**2 - 30*w. Let o(u) = u**2 + 2*u + 2. Let t(a) = -5*a**2 - 9*a - 9. Let n(i) = -9*o(i) - 2*t(i). What is n(f(m))?\nAnswer: 4*m**4 + 120*m**3 + 900*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*n - 15*m = 2*n + 94, 5*n = -m - 111 + 95 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/198 and 103\/242.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*n - 5*n + 90 = 0. Which is the second biggest value?  (a) n  (b) 6  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:12 AM and 12:09 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 3*i - 58. Calculate the remainder when 85 is divided by i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1385*w**3*z**2 - 850*w*z**2 + 2204105*z**2 wrt w.\nAnswer: 4155*w**2*z**2 - 850*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 475399 is divided by 3658?\nAnswer: 3517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 158727 + -201.\nAnswer: 158526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of -h**9\/75600 + h**7\/12600 - h**4\/24 + 4*h**2. Let g(z) be the second derivative of v(z). Factor g(t).\nAnswer: -t**2*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -3*g - 1. Suppose 5*x = 2*x + 12, -3*r = 4*x - 19. What is o(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10802927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 6 - 1 + 0 + 3*v. Let m be (-69)\/(-12) + (-1)\/(-4). Let f be (6\/(-4))\/(m\/16). Calculate u(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 135 and 1107?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6477775, 0.059, 2 in decreasing order.\nAnswer: 6477775, 2, 0.059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 666*a**3 - 222*a**2 + a + 184*a**2 - 248*a**2 wrt a?\nAnswer: 3996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.979583 and -1814.4355?\nAnswer: 1815.415083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -81.4 times 6?\nAnswer: -488.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.13 - -0.27. Let g = -2 + 1. Put m, g, -2 in increasing order.\nAnswer: -2, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**0*b)\/(b*b**(2\/29)*b*b))**(-16)\/(b**(3\/8)*b*b\/(b*b**(2\/21))*b*b**(-1)\/(b*b\/b**(-2\/29)*b)) assuming b is positive.\nAnswer: b**(169997\/4872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 4*b = 29 + 1 - 11 + 5, -4*b - 4 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-281 - 2*c**4 + 281)*(-2*c + 1 + c - 8).\nAnswer: 2*c**5 + 14*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 22*b**2*i**3 + 142009*b**2*i + b*i**2 + 135*b*i + i**3 - 2710 wrt b?\nAnswer: 44*i**3 + 284018*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*q = -136*q + 43*q - 444 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2640244049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 + 0)*(-10*s - 11*s + 17*s) + (0 + 0 - s)*(-1 - 6 + 0).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c + 334*a - 338*a = 4, -2*a + 22 = -4*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2528202*a**5 - 60*a**4*l + 7376*a*l - 337*l wrt a?\nAnswer: -50564040*a**3 - 720*a**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**2 - x - 3. Let i be 2 - -7 - (7 + -4). Let a = -17 + i. What is the hundreds digit of c(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (161\/(-460))\/(5544\/(-330)).\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*q + 17*q + 44*q - 51*q.\nAnswer: 31*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + 5*f = -17, 0*f = 5*t + 4*f + 31 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 926*c - 959*c = 66. Let j(y) = -5*y + y - 3 - 2. Let g be j(c). Put -4, -20, g in ascending order.\nAnswer: -20, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*a = 76*a + 801 - 143 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:13 AM and 1:12 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((-1*sqrt(180)*-4)\/(-4*sqrt(12)\/sqrt(3)))**2.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -738*v - 2103*v**2 + 2 + 1035*v**2 + 1069*v**2.\nAnswer: v**2 - 738*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 3 = -1. Suppose -3*j + w*a = -1, -a + 14 = 4*j - 0*a. Solve -3*b - 2*f = -j, 2*b - 3*f = -b + 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -37149 by 203.\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4545529700.\nAnswer: 2, 5, 17, 131, 20411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 - 3*z + 4 + (0 + z + 0)*(-1 + 3 - 3) + 32 + 332 + z + 122.\nAnswer: -3*z + 486","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 82*k - 1244. Calculate n(15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 174 + -45. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37011536?\nAnswer: 2, 557, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -23*a**2 + 9. Let h(o) be the second derivative of o**4 - 5*o**2\/2 - 2*o. Let r(d) = -4*b(d) - 7*h(d). Let m be (1\/2)\/((-18)\/36). Give r(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nmn when three letters picked without replacement from pnhnhpmu?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -39294.\nAnswer: -5\/39294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 303 - 199. What are the prime factors of 9\/(2\/g*4)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyyyyuyyuuy. What is prob of picking 1 y and 1 u?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uffrffffffffffffff. What is prob of sequence rff?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 46 = -2*a, -2*a + 3 + 71 = 5*c. Let z(r) = -r**3 + r**2 - 2*r - 12. Let h be z(0). Let k = h + a. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 142986 = 5*o, 13*n - 3*o + 429048 = 16*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 5*z - 24. Suppose 20 = n - 0*n. Calculate the smallest common multiple of n and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9 - 6*m - 6*m + 2*m + 2*m with respect to m.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1086 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (-11 - (3 - -6) - -10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/220 and -111\/7106.\nAnswer: 71060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10197*j + 10179*j + 3 + 10211*j - 30545*j.\nAnswer: 42*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/5)\/(1102\/(-95) + 12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from jojtjjjrjjjjrjmtjrjj.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5.59 + 5.09. Let v = -12\/17 + 111\/85. Which is the closest to 1?  (a) o  (b) 1  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14 - -14) + 9 + -17?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, -5, 8 in decreasing order.\nAnswer: 8, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lppwlssxll. What is prob of picking 1 p and 1 s?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c + 3056 = -3*t - 3056 + 6069, t + 33 = -3*c for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -172*g - 55 - 68*g + 106 - 51 as u*g + n and give u.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 17686057, 0, 3, 5 in decreasing order.\nAnswer: 17686057, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-48)\/72*(-2 - 484). Suppose 5*x = -t + 73, 5*t + 4*x - 104 = w. What is the remainder when t is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 360*i**2 - 17*i + 18. Is 46 a factor of h(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -301 + -11?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d + 5*f - 2, 3*d + 5*f = -d + 11. Suppose 20*t - 39*t + 228 = 0. Calculate the remainder when t is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -11 - -11 - 3*10. Let l = -21 - b. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 138365035849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -41738.8 to the nearest 100.\nAnswer: -41700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -m - 9500003, -5*a - m + 15117761 = 5617764. What is a rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23842240817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 71*v**3 + 19 - 35*v**3 - 35*v**3 + 17 - 16*v**2 - 19*v. Let p be i(17). Solve -2*s - 3*u + 12 = -u, p*u = 5*s - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-4*(0 + sqrt(200)) + (-1 + sqrt(200))*-6)*6 + 0)**2.\nAnswer: -172800*sqrt(2) + 2885184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -h - 3*h. Let z be 0 - ((-27)\/12 - h). Sort 2\/9, 2, z, 4.\nAnswer: 2\/9, z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 + -3. Let g be 4\/p - 10\/(-4). Solve -4*y + 2*z = 0, g*y + 0*y = -5*z + 24 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 29604 + -29609. Let p be (-1)\/(4\/6)*-1. Let w = 5 - 5. What is the closest to w in b, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4342?\nAnswer: 2, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -3*w - 73. Let l be p(-31). Let n be (-48)\/l + (4 + 0 - 2). Let v = -2 - -1.9. What is the third smallest value in -2, v, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18329826 + -87526?\nAnswer: 18242300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 4, q: 1, h: 4, j: 2}. What is prob of sequence jh?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 1274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*n + n + 3*n)*(0 + 2 - 1) + n + 4*n - 2*n.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**3 - 13*u**2 + 11*u + 14. Let i be r(12). Suppose 22 + 18 = 2*m - 2*q, 3*q = -i*m + 65. Solve 2*p = -3*f - 3*p - m, 0 = 4*p + 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-20)\/(-15))\/((-1)\/(-75)). Suppose -2*u + d = 3*u. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.998 + -1869.998. Let u = b + 1867.9998502. Round u to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1\/9 + 0)*3. Suppose 2*p - 5 = 4*i + 5, -5*p + 25 = 5*i. Is i at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3027*y**4 + 3*y**3 + 5948*y + 2?\nAnswer: 36324*y**2 + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2\/3073 + 61414\/70679. Let w = -696103\/267260 + 1377\/1162. Let r = i + w. What is the common denominator of r and 19\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -8 + 10 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1803799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13)\/(-26)*(-1)\/(((-161)\/(-112))\/23).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/(-2772)*44 - (10\/(-50) + (-4879)\/(-45)).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 301321547?\nAnswer: 197, 331, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 295633.\nAnswer: 13, 22741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-17 - -22) - (10 + 0) - (1 + 14).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 608c240 - 8?\nAnswer: 608c235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 2*k. Let d(b) = 9*b. Let y = -791 - -769. What is y*w(r) + 2*d(r)?\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -20, 3*u = -5*b + 2392 - 817. Let k = 4550 + -4108. Let p = k - b. What are the prime factors of p?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -4*z - 1. Let j be d(-4). Let c(w) = 4*w - 3. Let f be c(-5). Let a = f - -38. What is the highest common divisor of j and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:46 AM and 5:38 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 13*q - 28. Let s(m) be the second derivative of -1\/189*m**7 + 4*m + 0 + 1\/27*m**q + 2\/135*m**6 + 0*m**5 - 1\/27*m**4 + 0*m**2. Factor s(r).\nAnswer: -2*r*(r - 1)**3*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -43, 0, -20, -2 in ascending order.\nAnswer: -43, -20, -2, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + 3. Let s = y + 0. Let t = -2.6 - -1.6. Which is the nearest to s?  (a) -1\/8  (b) t  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4*13\/585)\/(2\/3)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, -0.01, 1\/2, 6.2, -1, 0, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 603 by -1776.\nAnswer: -201\/592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 2 m when three letters picked without replacement from mrmmmmrmmr.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1*(550\/2)\/5. What is the common denominator of -7\/8 and (-87)\/(-20)*c\/858?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*r - 25*r - 44 = -4*p, -2*r = 0 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9 in 8, -1, 2\/1193, 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35 = -4*n + 7*l, -5*l - 10 = n - 7*l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-88)\/33*8*(-21)\/(-224))\/28.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (((1*sqrt(468) - sqrt(468)) + 5 - (-1*sqrt(468)*-6 - sqrt(468))) + -2 + (sqrt(468) - (-1*(sqrt(468) + 0 + sqrt(468)) + sqrt(468))))**2.\nAnswer: -108*sqrt(13) + 4220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**2 - 3*h - 16. What is the tens digit of q(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23061 to the power of 1\/2, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4.54 + -4.26. Do 0 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-54))\/((-6)\/(-72)*116 + -9).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 39081 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 2*t**3 + 33*t**2 - 23*t + 16. Is 40 a factor of w(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1189, -2559, -4833, -8017, -12117, -17139?\n\"Answer: -a**3 - 446*a**2 - 25*a - 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) -3  (b) -1\/3  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -13*m**2 - 2*m - 2. Give f(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 + -3222002333002?\nAnswer: -3222002333002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -48859.\nAnswer: 4\/48859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d - 3*p + 37, -4 = -2*p + 2. Let o = d + -4. Let b be ((-12)\/(-9))\/(2\/o). Solve -2*j + b = -4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * -794\nAnswer: 238.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 850, 1789, -4 in descending order.\nAnswer: 1789, 850, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 10?  (a) -69.1  (b) -0.4  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 292 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(162)*2)**2*-1 + -5.\nAnswer: 3235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w**3 + 2355*w**2 - 23925*w + 60125 = 0. What is w?\nAnswer: -481, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -148  (b) -5\/4  (c) 75301\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -324*q - 51844. Determine j(-160).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 297962 and 2681.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the first derivative of 24*m**5\/5 + 171*m + 21. Differentiate d(x) with respect to x.\nAnswer: 96*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7670952343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 195\/(-27) + 2\/9. Let p be 2\/(-7) + (-23)\/b. Solve -p*x + 4 = 4*f - 3, 0 = -x + 5*f + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 37384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -45256, -45254, -45252, -45250, -45248?\nAnswer: -45246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/597 and -50\/27.\nAnswer: 5373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3373 = -9*h - 114*h + 71. What is the smallest common multiple of 464 and h?\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 172 - 1464a07?\nAnswer: -1464855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/8, -0.4, 7, 2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*f**3*v**2 + 594853*f**3 - 13098*f**2*v**2 + f**2*v - 4*v**2 wrt v.\nAnswer: -14*f**3 - 26196*f**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n and 1 x when four letters picked without replacement from nxdxxdnn.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 96*h**3 + 2*h**5 + 0*h**5 - 94*h**3 + (0*h**4 + h**4 - 3*h**4)*(-h - h + 3*h) + 499*h**5 + 811*h**5 + 96*h**5.\nAnswer: 1406*h**5 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8844)\/536*8\/(-22).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-60)\/(-36) + 1\/3. Is (-1)\/d*(-1254)\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 68 - 144 - 110 - -83.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/(-12)*2*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 5*f = 4*u - 2, 0 = f + 4. Suppose 0*h + h = -7. Let q be h\/u + (-4)\/(-18). Solve -i + q = -3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5\/(5\/4) + 0. What is the third derivative of -3*b**2 - 1223*b**4 - 3*b**2 + 1239*b**j wrt b?\nAnswer: 384*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*x - x - 1 + 1.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -7*q + 42. Let u(d) = -14*d + 105. Let g(h) = 5*r(h) - 2*u(h). Let l(w) be the third derivative of 19*w**4\/24 - 8*w**2. What is g(l(y))?\nAnswer: -133*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.389 * -0.2.\nAnswer: -0.0778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1418241768 - 0.3078\nAnswer: 1418241767.6922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*i**3 + 3*i**3 + 39 - 14*i**3 - 113 + 74.\nAnswer: -21*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*u = 5*u + c - 4, u + 1 = -4*c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = -0*f + 3*f - 5*d, -4*f + 2*d = 24 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -24114006\/11 or -2192181?\nAnswer: -2192181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 3 = -1. Suppose 3*s + 123 = 2*t, 4*t + s - 211 = -0*s. Suppose -l = o*l - t. What is the lowest common multiple of 10 and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cccctcctcc. Give prob of sequence tctc.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -303 - 63. Let m = o + 396. Solve -5*c - 15 + m = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in three tenths of a millisecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 137\/24 and (4\/14)\/((-1122)\/6188).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -862*y**4*z - 864*y**4 - 2*y**3*z - 6*y**2*z + y**2 - 6200*y*z - y + 9*z wrt y.\nAnswer: -20688*y*z - 20736*y - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 172911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1274 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-22050)\/(-700)*(-24)\/42\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 21\/815534 and 59\/4.\nAnswer: 1631068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2011 + 1112010020?\nAnswer: 1112001002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 7*c**2 + 2*c + 8. Let y(g) = 8*g**2 + 3*g + 9. Give 6*m(p) - 5*y(p).\nAnswer: 2*p**2 - 3*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -24357050, -24357047, -24357044, -24357041, -24357038, -24357035?\nAnswer: -24357032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.6 + 1.9. Let l = t + -12.5. Let d = l - -11.4. Round d to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1245*y**2 - 1605 wrt y?\nAnswer: -2490*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -y**3 - 5514696*y**2 - 37*y + 489218?\nAnswer: -6*y - 11029392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.7069 - 0.6069. Which is smaller: q or -2\/293?\nAnswer: -2\/293","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1649, -3305, -4955, -6593, -8213, -9809, -11375?\nAnswer: -12905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 341019715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 + 6.5. Let d(r) = -r**3 + 7*r**2 + 10*r. Let n be d(7). Let c = 212\/3 - n. What is the smallest value in 0.2, t, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13663364*p + 2 - 17*p**2 - 13663364*p - 30*p**3 + 3*p**4 - 7*p**4 to the form u*p**2 + m*p**3 + t + w*p + g*p**4 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*(-2)\/3 + -8*(4 + -6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(-4) + (-101)\/2 - 0. Let t = v - -54. Factor 11*z**5 + 0*z**t + 6*z**4 - 6*z**5 - 2*z**5.\nAnswer: 3*z**4*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-3)\/1)\/3 - 2. Let d be 2 + 2 + (5 - (1 - p)). Suppose -d*v = n - 4*n + 4590, 6146 = 4*n + 2*v. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 - -5. Suppose -3*z + 1 = -2. Let f be c\/(-2 - z) + -1. What is the second biggest value in -0.2, 3, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -140311 or -982178\/7?\nAnswer: -140311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2\/17 + -21\/34. Let f be 1*-2 + (0 - 1). Let b be (-3)\/(-9) + (-8)\/6. What is the closest to b in f, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is two sevenths of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4.2 + -4.37. Let s = h + -0.03. Let y = 13.1 + -13. Which is the second biggest value?  (a) y  (b) 2\/9  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -2*d**3 - 60*d**2 + 205*d - 11. Is q(-40) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/(-7))\/4*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m + 15 - 15)*((-2 + 2*m + 2)*(1 - 2 + 2) + 2 + m - 2 + 14 - 14 + 26*m).\nAnswer: 58*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 352243500?\nAnswer: 2, 3, 5, 7, 33547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/14 and -107\/26820.\nAnswer: 187740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -8*o + 48. Let z be q(6). Solve 5 = -m, 0 = 4*n - 5*m - 5 - z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*k + 68 - 5. Let w(t) = t**3 + 8*t**2 - 9*t - 1. Let i be w(k). What is the fourth smallest value in 8, -2, i, 1\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -104161 (base 7) in base 8?\nAnswer: -43537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 232*n - 1518*n = 1515*n - 606*n - 74630 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71*h = -63*h - 2728. Is h a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 1 = 4*w + 5, 3*g + 5*w = 6. Suppose 5*m - 22 = -2*y, 7*y = g*y + 5. Let l = 1.95 + 0.05. Which is the smallest value?  (a) l  (b) -4  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 118*j + 7295 = 123*j, 4*i - 2*j = 7274. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the first derivative of -70*l**2 + 2*l - 1. Let g be q(-2). Calculate the remainder when g\/5 + 4\/(-10) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*v = 2912247 - 825641. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -145 - 310 - 246 - 175 - 2*i + 264.\nAnswer: -2*i - 612","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*z**2 - 28983924*z + 28983922 = 0. What is z?\nAnswer: 1, 14491961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*z - 15 + 43 = 0. Suppose z*l + 10 = 0, -8*c - 14 = -11*c + l. Solve -3 = -3*v - c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4*(-3 + 11058\/24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1413)\/(-3) - (-8 - 12\/(-6)). Let m = -472 + w. What is n in 2\/5*n**4 - 2\/5*n - 4\/5*n**m + 0 + 6\/5*n**3 - 2\/5*n**2 = 0?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from fdybbdyff.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cwyyyycw. Give prob of sequence cy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/1*9\/(-6).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5115 + -3?\nAnswer: -5122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 4 + 3 + (-13 - -5 - 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 11) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 450 = 3*r. Suppose 140 = 5*o - r. List the prime factors of o.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.5 - 1.8. Let t = 284.9 + -284.7. Let c = -8 - -6. Put l, 4, t, c in descending order.\nAnswer: 4, t, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.551 times -5?\nAnswer: -2.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from vhbbhhb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(-3) - (-296)\/111. Let f(b) = b - b - x*b + 2*b. Let q(d) = 921*d - 921*d + 16*d**2. Determine f(q(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 + 10. Differentiate 3 - i - 17 + i + 2*i**k wrt i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1207, 2222, 3237?\nAnswer: 4252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -104 - -156. Let h(c) = c**2 + 4*c + 1. Let b = 10 + -16. Let m be h(b). Calculate the greatest common divisor of m and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -170*h**3 + 196*h**2 + 314*h - 10. Let j(g) = -56*g**3 + 65*g**2 + 103*g - 3. Let k(c) = 14*j(c) - 5*x(c). Determine t so that k(t) = 0.\nAnswer: -1, 2\/33, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 227720?\nAnswer: 2, 5, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 50716574?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3832118, -3832105, -3832092, -3832079?\nAnswer: -3832066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15619284 divided by -4.\nAnswer: -3904821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -g + 0 + 0 + (5*g - 3*g - g)*(-2 + 1 - 2) - 21*g - 10 - 311*g + 873*g in the form a + b*g and give b.\nAnswer: 537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/(r\/(r\/(r\/((r\/(r*(r\/r**(-5))\/r)*r)\/r*r*r)))))\/(r**(-2\/7)*r*r)*r**(5\/3)*r**(-6))**(-8))**8 assuming r is positive.\nAnswer: r**(12160\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**2 - 7. Let n(o) = o**2 - o - 6. Let p(l) = -2*m(l) + 3*n(l). Let z = 7 - 3. Suppose -z*v + 2 = -14. Determine p(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -13436, -430, -5 in decreasing order.\nAnswer: 5, -5, -430, -13436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.2186564 to 3 dps.\nAnswer: -5.219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -103012 (base 4) to base 16.\nAnswer: -4c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**16)**(-14\/3)\/(b**(-1\/7)\/(b\/b**(-19))) assuming b is positive.\nAnswer: b**(631\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**3 + 2*q**2 - 2*q. Let j(y) = 5*y**3 - 6*y**2 + 27*y + 2. Give -j(k) - 2*n(k).\nAnswer: -7*k**3 + 2*k**2 - 23*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 244*n = 246*n - 226. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/17?  (a) -2  (b) -0.3  (c) 2\/3  (d) 7.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4474, -17783, -39964, -71017, -110942?\nAnswer: -159739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:12 AM and 7:42 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 84 + -59. Calculate the greatest common factor of 225 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -5\/1092562 and 17\/69738?\nAnswer: 3277686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 140164 = 4*c, 0 = 4*x - 9*c + 4*c - 112124. Suppose 62*h + x = 105*h. Is h a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2455 + -2458. What is the fourth biggest value in n, 9, 2\/5, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/196920 and -55\/118.\nAnswer: 11618280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 280160919980 - 280157582851.00061. Let u = m - 3337094. Let j = -35 + u. What is j rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.08, -3, 0, -1577, -5, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -232*z**3 + 468*z**3 - 234*z**3 + 22*z - 12*z**2 - 12.\nAnswer: 2*(z - 3)*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1237 - 1207 = -6*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 85199 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * 275.\nAnswer: -27.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*i + 3*o, 2 = -i - 5*o + 8*o. List the prime factors of (-1)\/i + -1 - (-2755)\/38.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*22908.\nAnswer: 6872.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 5\/6  (b) -0.1  (c) -4  (d) 2  (e) 1\/3  (f) 57  (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -455680990 divided by -5.\nAnswer: 91136198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2 - 6\/1 - (5 + -2). Let l = -20 - -3. Let f = k - l. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1\/5, 2, 8, 15, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand y**2 - 3*y + 3*y + 2*y + 2*y**2 - 2*y - 5*y**2 + 4*y**2 + 3*y**2 - 6*y**2 + 5*y**2 + 2*y**2 + (-1 - 1 + 1)*(y - y**2 - y) + y**2 + 2*y**2 - 6*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1545 a factor of 23412930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of k**4\/12 + 2*k**3 - 3*k**2\/2 + 3*k. What is the remainder when 19 is divided by d(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o**3 - 2080*o**2 + 12372*o - 18504 = 0. Calculate o.\nAnswer: 3, 514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 281500898?\nAnswer: 2, 7, 20107207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of x**6\/120 - x**5\/20 + x**4\/24 + 17*x**3\/6 + 7*x**2 + 3. Calculate the common denominator of 1\/2 and f(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in 5\/3, 0.5, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is c06 (base 16) in base 3?\nAnswer: 11020000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -2*b + 1. Suppose 119 = 8*g - 1. Suppose -1 = -n + 2. Let x(i) = -8*i + n*i - g + 18. Determine 7*o(u) - 3*x(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2912 - -2919. Solve r = -5*n + 2*y - 12, y = -3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 661, 3 in decreasing order.\nAnswer: 661, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7396619 is divided by 220?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 5*i**2. Let f(l) = l**3 + 11*l**2 - 12*l + 2. Let r be f(-12). Let v(s) = 2. Let j(n) = -n - 9. Let m(d) = r*j(d) + 9*v(d). What is m(b(p))?\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*c**2 - 2272 + 12*c**2 + 2076 + 98*c.\nAnswer: 2*(c + 7)*(9*c - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 72\/5 of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 547799 and 15.\nAnswer: 8216985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 126\/(-21) - -3*(-2 - -39). Let q be ((-4)\/(-2) - 3)*-102. Let j(m) = -q*m - g*m + 205*m. Let p(i) = 8*i. Determine p(j(n)).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*x = 350577 - 52986. Let i = -14043 - x. Round i to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*g**3*i**4 + 40*g**3*i**3 + 72*g**3 - 7*g**2 wrt i?\nAnswer: 8*g**3*i**3 + 120*g**3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 - (-2055)\/4) + 72\/(-96). Let b = p + -514. Which is smaller: b or 3\/82?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((-3 + sqrt(520)\/((sqrt(120) - sqrt(120)*-1)\/sqrt(12))*3)*-1)**2.\nAnswer: -18*sqrt(13) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 411, 844, 1277, 1710, 2143?\n\"Answer: 433*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12433023 (base 5) to base 8.\nAnswer: -362352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 + 12 + -17 - (2 + 2 + -12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (13\/(-7) - -1)*5880\/(-7560). Solve 0 - 11\/3*i**4 - a*i**3 + 0*i - 3*i**5 + 0*i**2 = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-7)\/d)\/(d*d\/d**(-1)))\/(d*d\/(d**(2\/3)\/d*d)*d*d)**(-37) assuming d is positive.\nAnswer: d**(337\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (434\/(-6))\/((-2)\/6). Is 3*1*y\/21 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/21)\/((-100)\/120).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**3 - 9*v**2 + 6. Let u be i(9). Suppose u*r - r = 55. What is the highest common factor of 44 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m + 10. Suppose -4*a - 27 = 3*c, -2*c - 61 = 2*c - 3*a. Let w = c - -6. Let q be z(w). Solve -7*l + q*l + 5 = -5*r, 3*l = 2*r + 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 136425961289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 2279\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 7*p**3 - 3. Let l(b) = 6*b**3 - 2. Let q(i) = 2*i**3 + 2*i**2 - 1. Let j be q(1). Suppose 1791 - 1995 = 102*o. What is j*l(z) + o*g(z)?\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 56 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 25 = -4. Let z = l - 10. What is the smallest common multiple of 14 and z?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3028365 divided by -2\nAnswer: 3028365\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-1*sqrt(5500))\/(sqrt(66)\/(-6*sqrt(96))).\nAnswer: -960*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -128\/9 + 503\/36. Let x = 3 + 2. Let b = 0.4 + -0.2. What is the second biggest value in b, x, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -6, -11 in descending order.\nAnswer: 1, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 4 = l. Let v = l - -8. Suppose 3*y = z + 52, 0 = y - v*z + 8*z + 4. What is the greatest common divisor of y and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8, 11, 12, 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g - 242 + 1092. Suppose o - g = -h + 65, 4*o - 955 = -h. Does 22 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 148345*0.1\nAnswer: 14834.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-20)\/5 - (-21 + 23)) + 66. Solve -23*n = -z - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1940)\/(-160) + (-3)\/24?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -27 and 3.96.\nAnswer: -23.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1*(3 - 12\/4). Suppose 5*p + 2*x - 6 = s, -3*p - 6 = 2*p - 2*x. Suppose k - 16 + 5 = p. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (14*b**2 - 7*b**2 + 7*b**2)*(2*b - b + 2*b) to the form d + f*b + j*b**3 + k*b**2 and give j.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4055\/78 + 232771\/1482. Let z = -209 + f. Which is the second biggest value?  (a) 2\/7  (b) z  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * -19.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18\/(-4)*74\/555.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109205684 is divided by 555?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 869 is divided by 145.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p - 13 - 5. Let q be 2\/p - 1528\/(-72). Let o = -17 + q. Let v(u) = u**2 - 5*u + 4. Determine v(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**3 - 3*b**2 - 3*b - 2. Let g be c(4). List the prime factors of g + (3 - 4) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**2\/4 + 291891*y\/2 - 4961280.\nAnswer: -3*(y - 194560)*(y - 34)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 3677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10421 (base 6) to base 4.\nAnswer: -112231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1797\/26 or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of 7*i**2\/2 + 1. Let r(j) = -j. Let z be (2 + -2 - -6)*(-26)\/39. Let t(a) = z*r(a) - g(a). Let f(y) = -2*y. What is t(f(p))?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1706 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ((15\/(-24))\/(-5)*3)\/((-9)\/(-108))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 5*f - 31068, 12*f - 4*t = 13*f - 6228. Is f a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*h**3 - 6866 + 6868 - 3*h**2 - 2*h + h**2 to w + q*h + f*h**3 + j*h**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 3*j**2 - 3 - j + 4*j**2 - 2*j**2 - 2 - j**3. What is d(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92640 is divided by 46292.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 39299 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/(-550))\/(27\/180)*45\/(-10)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-6)*r)\/(r\/(r\/((r\/r**(-10))\/r*r*r))) assuming r is positive.\nAnswer: r**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*y - 74 = 78*y + 16 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*m**3 - 5*m**3 + 4*m**3)*(0*m + m - 3*m) + 41*m - 17*m**4 - 41*m as h*m**3 + o*m**2 + c*m**4 + t + j*m and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1*1*(-3 + 0). Suppose 120*z - 15 = 117*z. Solve -j*m - 3*c - 21 = 0, -z*m + c = 4*c + 27 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/6*36\/8. Suppose 0 = -3*x + f + 15, -r*f = 4*x - 7*f - 28. What is the remainder when x is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -135*u - 1247. Is c(-28) a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -35*a**3 + 5*a. Let p(g) be the first derivative of 53*g**4\/4 - 7*g**2\/2 - 94. Calculate -7*b(t) - 5*p(t).\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, -14, 2, 2937.\nAnswer: -14, -5, 1, 2, 2937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 8378*g**2 - 104*g + 4. Is y(2) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes before 12:54 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 20*b - 20. Is p(17) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -110a7 + -4?\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - -9) + 4 + -10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3153 - 22*p**2 - 3153 + 19*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is c95bd (base 14) in base 12?\nAnswer: 1b5897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5302 + -4222355?\nAnswer: -4232101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-45)\/66*4906\/(-8920).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (9\/2)\/3*3. Which is the second biggest value?  (a) -5  (b) -1\/4  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**2 + 108*o + 1449. Calculate d(-92).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 15*c + 17. Let t = -16 + 21. What is the tens digit of n(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 8) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(32)*-2 + sqrt(2)*2 + -2.\nAnswer: -6*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 10 = -a. Suppose -3*o = 4*x + 24, 0*x = o - 2*x - 2. Put a, 5, o in descending order.\nAnswer: 5, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 5*y - 7. Suppose 2*m + 5 = 5*p + y, 5*p - m = 6. Suppose 2*j - 93 = -4*d + 7*j, p*d + 5*j - 39 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -2*o**2 - 160*o + 2391. Give m(16).\nAnswer: -681","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2121222 - 200110?\nAnswer: 1221112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 1738372.736 to the nearest one hundred.\nAnswer: 1738400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, 25, -287, -189, 3 in decreasing order.\nAnswer: 25, 14, 3, -189, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -802500 by 40125.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*w**2 + 0*w**2 + 3*w**2)*(3 + 1 - 3) + 2 - 2 - 2*w**2 + (75*w + 45*w + 8*w)*(0*w + 3*w - w)*(0 + 2 - 5) to f + x*w**2 + y*w and give x.\nAnswer: -767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(76)\/(sqrt(16)\/(1*sqrt(4))) + 0 + 3.\nAnswer: 3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1720236.60206 - -1720385.6. Let w = -149 + c. What is w rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -7*l - 58. Let b be m(-9). Suppose b*n - 60 = -25*n. Solve n*i + 4*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3 - (-9)\/3 - (-9000)\/(-1). Round d to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 22.9 + -23. What is the third smallest value in -0.11, -0.5, h, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-24 + 73\/3)\/(2\/(-6)). Sort n, -4, 81.\nAnswer: -4, n, 81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = z + 4, -2*v - 7 = 4*z + 3. Calculate the common denominator of v and 49\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 243\/74*(2 - 256). Let x = -834 - p. Let r = 44.4 + -43.4. Which is the closest to r?  (a) x  (b) -4\/3  (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 5*k = -11153, 6*q - 9*q - 3*k + 16782 = 0. Let a = 13538 - q. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 101667978?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 356897843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 9\/(-72)*28*100\/(-2). Suppose -5*a = -12*a - g. Let r = -0.1 - 0. Are a and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(2\/3)\/r)**(-2\/39) assuming r is positive.\nAnswer: r**(2\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 90285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6\/5 in 1, -2\/29, 3?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11201112002 + 1203?\nAnswer: -11201110133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 115 + a - 2*a + a**2 - 156*a**4 - 55 - 60 as w*a**3 + d + u*a**2 + v*a + s*a**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyyyyyymymmyymyyyyy. Give prob of picking 1 m and 3 y.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**3 - 12*l**2 + 13*l - 2. Let f be y(-13). Calculate the lowest common multiple of 8 and 5 + f + 5 + 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z + 24. Let g be f(-22). Suppose -4*y = 3*q + q, -2*y - 12 = -g*q. List the prime factors of (q - (3 - 2)) + 48 + 2.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 168 - 173. Which is the biggest value?  (a) h  (b) 12  (c) -0.4  (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 353472 * 46\nAnswer: 16259712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from {y: 2, c: 2, x: 8, r: 1, s: 3, g: 4}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*j - 8*j + 16344. List the prime factors of j.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -95\/14 and -34\/91.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 478*s + 1156 = -31348 for s.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 10 and -137.23.\nAnswer: -127.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**3 - 9*o**2 - 2*o - 14. Calculate t(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -7*u**3. Let o be a(-1). Let n = o - 4. Solve j = -5*d + 6, -n*d - 1 = -3*j - j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-91)\/((-364)\/(-24))*-3\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -45.3659 + 0.3659. What is the second smallest value in v, -1.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 794425 and -0.4.\nAnswer: -317770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z + v - 82 = -0*z, -z - 3*z + 123 = -9*v - 63 for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h + 27 = 4*b, -2*b - 9 = 6*h - h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 22013200 (base 4) in base 11?\nAnswer: 29153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 158 = 4*n + t, -3*t = n - 46. Suppose 2*i = 2*f - 6*f + 30, i = 2*f + 3. Calculate the remainder when n is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1))**(2\/3)\/(((x*x**(-7))\/x*x*x)\/x**3) assuming x is positive.\nAnswer: x**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-39))\/((-6280)\/(-40820)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wkbwbtkqkk. Give prob of picking 1 w, 1 b, 1 t, and 1 q.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 807381 is divided by 403646?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*p**5 + 291*p**4 - 1767*p**3 - 9303*p**2 - 12096*p - 4860 = 0. What is p?\nAnswer: -5\/3, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 651131925?\nAnswer: 3, 5, 29, 299371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(130)*3)\/sqrt(10) + -4.\nAnswer: -3*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 45 + -41. Solve -4*p + 8*p - f = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 31?  (a) 2  (b) 1\/19  (c) -4  (d) 0.2  (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-3 - -5)\/(3\/480)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -629.7604 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 - -25. Find the second derivative of 190 - 7*f**2 + o*f - 190 wrt f.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-1*-1*sqrt(121)\/(-1*sqrt(99)) - (sqrt(1331)*1 + 2 + -1)**2*1).\nAnswer: -1327 - 67*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 67 divided by -3.\nAnswer: -67\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w*w\/(w*w\/w**(-6)))\/w*w*w*w**5)\/(w\/(w*w*(w\/(w\/w**(2\/11)))\/w)*w**(-2\/19)))**(-1) assuming w is positive.\nAnswer: w**(-269\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 - -2452?\nAnswer: 2455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4066 or -4065?\nAnswer: -4065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 133 + -131. Let f(n) = 0 - 88*n**2 - 1 + 87*n**o. Let w(l) = -41*l**2 + 4*l - 6. Let j(r) = 6*f(r) - w(r). Find the second derivative of j(g) wrt g.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6357753655.\nAnswer: 5, 11, 115595521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/2*-44*(-3)\/(-6). Suppose -39 - t = 4*z. List the prime factors of z\/(-45) + (-1796)\/(-10).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -105, 2 in decreasing order.\nAnswer: 9, 2, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 4*l + 38 = 0, 6*l - 3*l = 9. Solve -3*g - 2*g = -2*v + 17, -5*v - g = m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, b: 3, z: 2, j: 5, m: 1, u: 1}. What is prob of picking 1 m and 1 u?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -2*2 + (-185)\/(-37)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -5703*q**2 - q - 9. Let h(w) = -w. What is h(v(u))?\nAnswer: 5703*u**2 + u + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eviiiieeeeemiihiieti. Give prob of picking 1 m and 1 i.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -910 or -904?\nAnswer: -904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(3 + sqrt(91)\/sqrt(7) + 3).\nAnswer: 5*sqrt(13) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/22 - (-120)\/55 - -1. Let l(r) = 3*r - 10. What is l(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4 or 435?\nAnswer: 435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5597367 and 345441?\nAnswer: 3057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 - (-1 + 0 + 4). Let i = 130 - 912\/7. Are c and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((3*sqrt(200))**2 + sqrt(200))*-4.\nAnswer: -7200 - 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75 = -3*w + 36. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from bxbbxbxbbbbb.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -245 or -271?\nAnswer: -245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 62 - 7. Suppose 80 = 9*i - 100. Let c be (-44)\/(-2) + (i - 20). Calculate the greatest common divisor of c and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*f + 84*f + 16*f + (0 - 3 - 3)*((7*f - 3*f - 3*f)*(2 - 5 + 1) + 2*f - 2*f + f) as p*f + m and give p.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand z**3 - z**3 - 4*z**4 + (-11 + 7*z + 11)*(0*z**3 - z**3 + 3*z**3) - 2*z**4 - 2*z**4 + 3*z**4 + 0*z + 0*z + z**4.\nAnswer: 10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-16)\/(-7))\/4*(-84)\/120.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**3 + 6*n**2 + n + 4. Let i be 0*1\/2 - 6. Let z be d(i). Suppose 3*h + 2*x = 14, 4*h + 5*x - 21 = -0*x. Sort h, z, 5 in descending order.\nAnswer: 5, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1e05 - -3?\nAnswer: -1e02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(900) + -5*(-1*sqrt(900) + sqrt(900)))\/(sqrt(108)\/sqrt(225) + (sqrt(60) + -2*sqrt(60))\/sqrt(5)).\nAnswer: -25*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 474 + -472. Suppose x + 1050 = n*x + d, -4 = -4*d. What are the prime factors of x?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9263 divided by -28949.\nAnswer: 9263\/28949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.5 - 0. Let i = 1 + 3. Which is the closest to 0?  (a) l  (b) 0.3  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**2 + 10*k + 10. What is the units digit of w(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 905, 892, 865, 818, 745?\n\"Answer: -u**3 - u**2 - 3*u + 910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.59428898 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zs when two letters picked without replacement from zmzmszssmszzzmzm?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 30152 at least as big as 30152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21747358?\nAnswer: 2, 241, 45119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -26029, -26027, -26015, -25987, -25937, -25859, -25747, -25595?\n\"Answer: j**3 - j**2 - 2*j - 26027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + 2.8. Let o be 148\/20 + -4 + -3. Let t = 237\/2 + -119. Which is the biggest value?  (a) o  (b) t  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -82860*t**4 + 3*t**2 - 15*t + 2011 wrt t.\nAnswer: -1988640*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8070388.\nAnswer: 2, 409, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10 and -4 + 12\/4 - -7.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -234*t - 11859. Determine g(-42).\nAnswer: -2031","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 640 - 635. Which is the nearest to 1?  (a) 0.2  (b) f  (c) 1\/3  (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:07 AM and 4:47 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -112, -432, -900, -1462, -2064, -2652?\n\"Answer: 9*n**3 - 128*n**2 + n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 62 in -4, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**4*a)\/(a*a**10\/a) assuming a is positive.\nAnswer: a**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*l + r - 910230 = 0, -33*l = -36*l + 4*r + 97500. Is l a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -28*s + 377. Calculate t(8).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 2880*m**4 - 6000*m**3 + 4565*m**2 - 1500*m + 180 = 0.\nAnswer: 3\/8, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 805937 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 87600300 divided by -3504012.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 + 1)\/(10 - 11). Is s greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.8037 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(2736) + 0)**2.\nAnswer: -2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (35 - (-40 - -14)) + -22?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 + -2. Let t be (-1)\/g + 0 + 0. List the prime factors of 2 + 8 + 2 + t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 + 2. Let m = 85\/2 - 43. Let d = -0.44 + 0.14. Which is the closest to r?  (a) d  (b) m  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10 + 3. Let l(m) = 3*m - 8. Let u(y) = y + 7. Let d be u(-4). Let w be l(d). What is the nearest to w in b, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*a, 4*b - 7*a + 3*a - 80 = 0. What is the units digit of b\/4 + (-3)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25 - (-14 - -38)) + 43?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) 0.2  (b) -5\/8  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**2 - 26*j - 17. What is v(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*i**4 + i**4 + 0*i**4 + (-3*i - i + 5*i)*(4*i**3 - 5*i**3 - i**3) - 8*i**4 + 47*i**4 - 7*i**4.\nAnswer: 31*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 71701 a multiple of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 16772 and -36?\nAnswer: -603792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/819, -1.6, -0.2, -75, -3 in decreasing order.\nAnswer: -2\/819, -0.2, -1.6, -3, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in three tenths of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pagqpdedddee. What is prob of picking 1 e and 1 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 3 = -2*o + 5*r, -4*o - 5*r + 13 = 0. Suppose 4*h - 21 = j, -3 = 2*j - 1. Suppose -3*s + 35 = x, o*s + h = -x + 6*x. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 316 - 1496041?\nAnswer: -1495725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 t when two letters picked without replacement from {t: 6, p: 8, y: 3, x: 1}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 78*r - 1531. Calculate d(23).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 126887104 divided by -63443552\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*q + 31*q**2 - 6*q + 15*q.\nAnswer: 31*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -935332*p = -935164*p - 16128 for p.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 3) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 6041, 5963, 5769, 5405, 4817, 3951, 2753, 1169?\n\"Answer: -9*i**3 - 4*i**2 - 3*i + 6057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2243*o + m - 917 = 2474*o, 0 = 2*o + 5*m + 43 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 308.781 + -309. Let z = -0.002821 + 0.220831. Let u = z + o. What is u rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes after 4:55 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 3, -17, 2, 5 in descending order.\nAnswer: 5, 3, 2, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 7817.7939 hours?\nAnswer: 46.5344875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 42806455229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 35275221 and 62628?\nAnswer: 141100884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 98190119 divided by -703.\nAnswer: -139673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*s - 11 + 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 519902 and 76216?\nAnswer: 2722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6965, -13946, -20927, -27908, -34889, -41870?\nAnswer: -48851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15028, -30784, -46540, -62296, -78052, -93808?\nAnswer: -109564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11065838597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o - 2*z + 1 = -0*z, -3*o + 3 = 3*z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 7615793 to the nearest one hundred thousand.\nAnswer: 7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-286)\/(-88) - (-15)\/(-12). Which is smaller: 8\/7 or w?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*o + 8. Let g be (-6)\/2 - (-21)\/o. Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 182, 349, 516, 683, 850, 1017?\nAnswer: 1184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -8755426*o**2 + 3568*o + 1784. Let f(h) = 14715*h**2 - 6*h - 3. Determine 3*d(k) + 1784*f(k).\nAnswer: -14718*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5675 + 9102 + 3721 + 9574)*(4*l + 3*l**2 - 3 - 4*l) as v*l + m + c*l**2 and give c.\nAnswer: 50166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**3 - 3*z**2 + 1. Suppose 4*u + 2*s - 12 = 2*u, 5*u - 3*s + 2 = 0. Suppose -6 = -2*m - 4*g + g, u*g + 9 = 3*m. Determine f(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 165618?  (a) 0.4  (b) 1\/3  (c) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20 - 20 + 152*h**2 - 73*h**2 - 80*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -272 - -353. Suppose 3*g - i = -3*r - r, 5*g = -2*r + 37. What is the smallest common multiple of r and 87?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 107 - 106.828. Let i = 12.128 + w. What is i rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = -0*q. Suppose q = -3*z + 7*z - 48. Suppose 0 = 4*p - z - 0. Solve 0*f + c - 6 = 5*f, -c - p = 4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 4*w + 11*w + 3 + 3 + 5*w**3 - 1 + 15*w**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d - 121. Let v(o) = -2*o - 242. Give 5*h(s) - 3*v(s).\nAnswer: s + 121","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 180 and 405.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 4*q + 164. What are the prime factors of q?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6*(-3)\/6*(-5 - (-704)\/144). Let n = 0.1 - -6.9. Which is smaller: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*i**3 + 2509*i**2 - 13722*i**2 + 30*i**3.\nAnswer: 10*i**3 - 11213*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 202 and 16463?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -909, -922, -961, -1038, -1165?\n\"Answer: -2*c**3 - c**2 + 4*c - 910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1124 + -1118. Solve 5*l + k = 2*l + 3*w, 3*l + 9 = 4*w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/7 + 9\/7*d**2 + 11\/7*d.\nAnswer: (d + 1)*(9*d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -108137*o**4 - 19*o**2 - 47 wrt o?\nAnswer: -2595288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes after 9:34 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 s, and 1 e when three letters picked without replacement from esskehxxxss.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 minutes after 9:28 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00008626 rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 11786 or 11781?\nAnswer: 11786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 249628947 to the power of 1\/4, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*u = 412 + 20. What is the highest common factor of u and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.19815 rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 - 7*r**2 + 8*r - 76. Give u(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1492124 to the nearest integer?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -4  (b) 2\/5  (c) -1  (d) 56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 469.7988 millilitres?\nAnswer: 0.4697988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 208 and 2384.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -3*o + 8. Calculate the least common multiple of (-22)\/o*(-12 - -16) and (-3)\/(-1) + 1*-1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(2\/5)*r*r*r**(32\/3)*r)\/(r**25\/r)**(-7\/2) assuming r is positive.\nAnswer: r**(1471\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes before 5:14 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 466164225.\nAnswer: 3, 5, 17, 67, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -32 (base 4) to base 9\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*h = 206 + 865. Suppose 0 = g - 2*g + 3. Suppose -g*s + h = 18. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 + 15 + (69 - 103)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 25 + (-32 - -21) - (4 - (3 + -3))*-2\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lbbbbbzbbbllzlbzlzb. Give prob of picking 2 z and 1 l.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*c**4 + 4*c**4 - c**4 + (-3*c**3 + 0*c**3 + c**3)*(-c - c - c) - 4*c**4 - 4*c**4 + 5*c**4 to the form l*c**4 + s*c**2 + f*c**3 + o*c + z and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.7544 - 0.1544. Let y = 42963 - 42963.60202. Let z = s + y. What is z rounded to four decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 156351406?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h - 23. Let x = 20 - 36. Let q be m(x). Let t be 88\/(-231)*q\/(-6). Which is bigger: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4035348 and 2?\nAnswer: 8070696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1022637\/265 - -3859. Let t = x - -1074\/1855. What is the common denominator of t and 21\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-g**2 - g**2 + g**2)*(6*g - 4*g + g) - 2*g**3 + 0*g**3 + 3*g**3)*(-6 + 0*g - g - 4) as u*g**3 + w*g**4 + f*g**2 + s + k*g and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 20357664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(84)\/(sqrt(3) + sqrt(15)\/sqrt(5)) + (-1*sqrt(28)*1 - sqrt(28)))*4)**2*-6.\nAnswer: -54432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -24183 + 24330. Solve 3*g + 24 = 0, j + m = -g + 134 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -184446*o + 5348979. Give p(29).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -16*i**6 + 66*i**5 + 7*i**3 + 101923*i**2?\nAnswer: -1920*i**3 + 3960*i**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -100 + 101. Which is the smallest value?  (a) 0  (b) 1\/3  (c) p  (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.9 - 0.1. Let j = 16 + -24.5. Let h = 8 + j. What is the closest to y in -2\/7, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 405132 a multiple of 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**2 + 23*c + 23. Let v be u(-22). Let n be (-2)\/((-6)\/(-15))*-1. Put -1, n, v in increasing order.\nAnswer: -1, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (4 + 7\/6)\/((-3)\/4) and (-1665)\/765 + 1\/1*0?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1503 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -229 - 1.3.\nAnswer: -230.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -80.614547 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7374*j**6 + 7*j**5 + 14*j**2 + 4210 wrt j.\nAnswer: -884880*j**3 + 420*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5130683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -2*u**2 + 91*u + 17. Let y(j) = 20*j**2 - 821*j - 152. Calculate -19*d(r) - 2*y(r).\nAnswer: -2*r**2 - 87*r - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f + 4*h + 11, -2*f + 5 - 3 = 2*h. Suppose 4*y + 5*t = -35, -2*y - 9 = f*t + 6. What is the units digit of y\/6*(-4)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 78.4 or -1\/2?\nAnswer: 78.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -687, -706, -725, -744, -763?\nAnswer: -782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2254\/1025 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 20 + -31. Let t = g - -11. Suppose 0 = -4*o + 51 - 11. Solve 2*y - 5*k - o = t, -35 = 4*y + 5*k + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71480179991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90 + 30 = -3*s. Suppose w - 228 = -2*w. Calculate the remainder when w is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in -1\/13, -4\/5, 1076, 0, -2, 6, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -780*w**2 - 43*w**3 + 780*w**2 + (w - 2*w**2 - w)*(-7*w + 4*w + 2*w) - 3*w**3 - w + w - 3*w**3 - 3*w**3 + 5*w**3.\nAnswer: -45*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 205787527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 113496235 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 + -6. Let j(v) be the first derivative of v**4\/4 - v**3\/3 + v**2\/2 + v - 217226. Let c(h) = -8*h**3 + 8*h**2 - 10*h - 9. What is y*c(g) - 18*j(g)?\nAnswer: -2*g**3 + 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1017 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*f**2 + 51*f**2 - 10*f**2 - 16*f**2.\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -69, -76, -81, -84, -85, -84?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the third derivative of 0*a**3 - 1\/105*a**7 + 0*a**4 + 0 - 1\/30*a**6 - 5*a**2 + 1\/168*a**8 + 0*a**5 + 0*a. Factor s(z).\nAnswer: 2*z**3*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 946801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 37 - 20. Let l = i + -15. Solve -2*s + 4*s + 8 = l*d, 5*s = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 != 2\/3885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 80 and 2500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of -c**6\/120 + c**5\/20 - c**4\/12 + c**3\/6 - 3*c**2\/2 - c. Let u(i) be the first derivative of v(i). Give u(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12969 (base 14) to base 5\nAnswer: 2431021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4184718024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -284.5009631 and -0.1187?\nAnswer: 284.3822631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 113052, 226102, 339150, 452196, 565240, 678282, 791322?\nAnswer: 904360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 546\/156 + 18126\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(162) - 6*(sqrt(162) + -2 + sqrt(162)))*2 + 0.\nAnswer: -198*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((0 + 2)\/(-4))\/((-4)\/544). Let x = -65 + s. Solve 0 = -5*y + 2*b - 11, 1 = 2*y + x*y + 2*b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*y - 46213 = -29162 + 73168. Does 61 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k - 4*m - 6 = 0, -3*k + m = -1 + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/4)\/((-4)\/(-14) - (-370)\/(-560))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 0*n + n = 0. Let v(o) be the third derivative of 3*o**2 + n + 0*o + 1\/6*o**3 + 7\/60*o**5 - 1\/12*o**4. Calculate v(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*y + 8 = -6*y. Let r(w) be the second derivative of -2*w**3\/3 + 5*w**2\/2 - 5*w. Let z(h) = 1. Determine y*z(s) - r(s).\nAnswer: 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + -2 + (-9 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b**4 - 45*b**3\/4 - 9*b**2 + 3*b = 0. What is b?\nAnswer: -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (-12 - -6) - (4 - 5)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 534 is divided by 86.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + (-50)\/(-10) + 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p. Let g(f) = -2*f**2 + 2*f + 3. Calculate g(c) - 3*q(c).\nAnswer: -2*c**2 + 5*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(1100) - (sqrt(1100) + 2*sqrt(1100)) - sqrt(1100)) + 5 + -3 - (-3*(sqrt(1100) + 0) - 2*(-1 + sqrt(1100)))*-1)**2*3.\nAnswer: 211200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + -4 - (-92 + 70) - 37.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 6, -586, 2\/11?\nAnswer: -586","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3995774.\nAnswer: 2, 1997887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2\/4 - 1647254*h + 2713445740516.\nAnswer: (h - 3294508)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 486*u - 13065 + 915 = 0 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14, -19, -116, -313, -646?\nAnswer: -1151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1622 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 3, -0.5, 28, -2\/3, -46\/15, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -405 divided by -5\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.956714 centimeters in millimeters?\nAnswer: 19.56714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1433\/163818 + 28\/479. What is the common denominator of 49\/114 and j?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7990976.\nAnswer: 2, 7, 17837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1, 2\/9, 10 in ascending order.\nAnswer: -1, 0, 2\/9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6769128260 divided by 4.\nAnswer: -1692282065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-15)\/(-8))\/(222\/(-230)). Let t = 23849\/37 - 645. Let v = u + t. What is the common denominator of v and -127\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**3 + 5*u**2 + 3*u - 1. Let m be 10\/(-25) - 4\/(-10). Suppose m = 3*y - 1 + 13. List the prime factors of o(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -28873.4 to the nearest 100.\nAnswer: -28900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -51.3 + 88.2. What is b rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28119 is divided by 1278.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 3*y + 6. Let v(l) = -l**3 + 3*l**2 + l + 8. Let b be v(y). What is the third derivative of 11*p + 51*p**2 + 18*p**3 - b*p - 19*p**2 wrt p?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 11*p**2 - 11*p**2 + 29 + p**3. List the prime factors of z(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 19 - 45. Let f = j - -22. What is the smallest value in f, 0.3, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(2\/(-8) + 63\/140). Let w(x) = x - 5. Let u(c) = -c + 6. What is k*w(f) + 4*u(f)?\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**3 - 68*s**2 + 252*s + 324.\nAnswer: 4*(s - 9)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**3 + 50*i**2 + 145*i + 100.\nAnswer: 5*(i + 1)*(i + 4)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the second derivative of u**4\/2 - u**3\/6 - 5*u**2\/2 + 3261*u. Let i(l) = -7*l**2 + l + 6. Suppose 10 = -n - n. Determine n*b(y) - 4*i(y).\nAnswer: -2*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 264708 a multiple of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 598164096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from fvmevmn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 2 = -2*n + a, -9 = -3*a. Let x(k) be the first derivative of -1\/2*k**2 + 1\/4*k**n - 1 + 0*k + 0*k**3. Find the second derivative of x(d) wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(4320) + (sqrt(4320) - (sqrt(4320) + sqrt(4320) + sqrt(4320)*-2 + sqrt(4320))))*4*2)\/((-6*(sqrt(216)*2 - sqrt(216)) - sqrt(216))*-4).\nAnswer: 4*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -47 - -46.9. Which is bigger: 37 or n?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 3*w = -4*v - 28, 4*w + v = 61. Let s = w + -20. Let z(q) = q**2 - 24*q - 35. Let j be z(25). Put s, -5, j in decreasing order.\nAnswer: s, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes after 9:43 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g = -2*g + 4*w - 15, 5*g + 5*w = 50 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 1 g when three letters picked without replacement from dddgdrdrgdgrddgr.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 5559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -16404, -65594, -147578, -262356?\n\"Answer: -16397*v**2 + v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 125*c*z**3 - 4*c*z**2 + 3*c*z - c - 579*z**3 - 33*z**2 - 4891535*z wrt z?\nAnswer: 750*c*z - 8*c - 3474*z - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 15 = -5*p. Let r be p - -2*(-2 + 3). What is the third smallest value in 0.5, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + (40 + -1 - 75)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*f**2 - 2 + 2*f**2 - f**3 + (0*f + 2*f + 0*f)*(301 - 23*f**2 - 301) to r*f**3 + g + m*f**2 + s*f and give r.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 22*i**5 - 3*i**3 - 6*i**2. Let o(d) = 21*d**5 - 4*d**3 - 7*d**2. Let g(v) = 3*o(v) - 4*z(v). What is the third derivative of g(b) wrt b?\nAnswer: -1500*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 503906 is divided by 99?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4.6, 114, -0.3, 487 in ascending order.\nAnswer: -0.3, 4.6, 114, 487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 853636 - 14300.83\nAnswer: 839335.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -447*j**2 - 170. Let z(c) = -2*c + 813. Give z(p(t)).\nAnswer: 894*t**2 + 1153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v = 8*v - 7*v + 21*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t - 2*t - 4*t)*(-1 + 3 - 1)*(4 - 4 - t**2).\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 25 = 0, 42 = 4*c - 2*c + 4*m. Let u(s) = -113*s + 202*s + 4*s**2 - 115*s - 10. List the prime factors of u(c).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 70\/6 - 7\/(-21) - (-27 - (-3036)\/(-66))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4736 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2260 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1 - 1)\/(-2) - 2. Let l be (13 - 752\/56) + 2938\/2688. Let v = -1\/448 - l. Which is the biggest value?  (a) v  (b) q  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*f**2 + f - 4*f**2 - 2*f)*(3 + 3 - 7).\nAnswer: -9*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97 is divided by 41.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the third derivative of -t**6\/100 + 17*t**5\/50 + 9*t**4\/10 + 97*t**2. Factor v(h).\nAnswer: -6*h*(h - 18)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 - -9. Let d(z) = -z**3 + 15*z**2 - z + 19. Let x be d(p). Let n = 7 - x. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 57 + -85. Let p = 0.66 - -33.94. Let h = p + k. What is h rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (-3)\/(63\/28)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*s**3 + 16428*s**2 - 22879020*s + 1060674624.\nAnswer: -3*(s - 2714)**2*(s - 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 51751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4\/119 and -5\/91.\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(-2*sqrt(133) + sqrt(133) - sqrt(133))*-5)\/(sqrt(14)\/sqrt(72)*5)*-5)**2.\nAnswer: 1710000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 22\/3*(-2313)\/(-771)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 87 + -77. Let s be -1 - -7 - (1 + -1). Let x = m + s. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 54\/(-2) - (-18)\/(-6). Let w = 32 + j. Let r be (w + 3 + -23)*5\/(-10). Solve r*i - 4*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r + 3 = -0*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t - t = -5*m + 50, 3*m - 2*t - 40 = 0. Let r be (-63)\/m + 2 + 3. Put r, 5, -1 in decreasing order.\nAnswer: 5, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the third derivative of v**4\/12 - v**2 - 22*v + 1. Let n(w) = 20*w**2 - 125*w. Give t(n(p)).\nAnswer: 40*p**2 - 250*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -21, -29, -35, -45, -65?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -24, -25, -26, -27, -28?\n\"Answer: -g - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 21*d**3 + d - 1. Let b be l(1). Let y = -6 + b. 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: Does 34 divide 5100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6404*d**5 + 14*d**4*q**3 - d**3*q - 2*d**2*q**2 + 186*d**2*q + d**2 + 113*d*q + q**3 wrt d.\nAnswer: 384240*d**2 + 336*d*q**3 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times 0.2?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-11))\/(360\/(-1320))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in twenty-one quarters of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000652 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -75100, -75109, -75118, -75127, -75136, -75145?\n\"Answer: -9*x - 75091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 23 = -2*p - 7, 5*p - 36 = 4*d. Suppose 0 = 6*o - 4*o. Suppose p*l - l - 48 = o. Solve 0 + l = 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-4)\/(-52))\/(4\/(-4)))\/(28\/112)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -60453, -120905, -181357, -241809, -302261?\n\"Answer: -60452*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -181830000 rounded to the nearest one million?\nAnswer: -182000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 788184141.\nAnswer: 3, 17, 359, 43049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(4\/(-18)*3). Suppose -c + 5 = -2*m, -3*m + c - 9 = -c. Let s = m - r. Solve 0*q = q + s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 827*y - 413*y - 415*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 21002212 (base 3) to base 11\nAnswer: 398a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69750 is divided by 317?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2514?\nAnswer: 2, 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kfukzlkkffzk. Give prob of sequence flzk.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 993298061 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m*m\/(m**(-2\/7)*m)*m)**(5\/21)*m**(-2\/23)\/(m\/(m\/(m*m**(1\/5)*m*m*m*m)*m))*(m**1)**(-30)*m**(-3)*m**(-1\/2)\/m assuming m is positive.\nAnswer: m**(-1284937\/33810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 27585 + -26507. Calculate the highest common divisor of p and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*(21 - 1562\/66)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2863.386310523 + -2863.26551. Let i = 0.1208 - k. Round i to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*v + 28 = 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(-1)*c*c**(-7\/5))**19*(c**1)**27*c**(6\/7)\/c**4 assuming c is positive.\nAnswer: c**(569\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 66 = -24*x. Sort -10, x, 16, -3 in decreasing order.\nAnswer: 16, x, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 + 9*w**2 + 41*w - 56. Let q be o(12). Which is the fourth smallest value?  (a) 1\/32  (b) -0.5  (c) q  (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 2*y**5\/3 - 32*y**4 + 536*y**3\/3 + 5324*y**2 + 13862*y\/3 - 10092 = 0.\nAnswer: -9, -2, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 243 = -3*v - 4*y, -162 = 2*v - 2*y. Let l = v - -319. Let o = l - 2144\/9. Which is the closest to o?  (a) 2  (b) 3  (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 14*n - 8. Let m(c) = -5*c + 3. Let b = 3240 - 3234. Give b*z(a) + 17*m(a).\nAnswer: -a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-180)\/(-420))\/((-8)\/(-28))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8204 * 0.27.\nAnswer: 2215.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + -121212?\nAnswer: -121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1102300238?\nAnswer: 2, 13, 19, 313, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((36\/(-8))\/((-66)\/44))\/((-150)\/4).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/5*4*(-160)\/128*-19\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16.3 + 14. Let f = -2 - k. Let t = 0.6 - f. Is 1\/4 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3291*-5.\nAnswer: -16455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4*a - 3*a + 5*a)*(3*a + 3*a - 4*a) + a**2 + a - a)*(-1964*a**2 + 125*a + 5893*a**2 - 1974*a**2 - 1982*a**2).\nAnswer: 81*a**4 - 375*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*o**2 + 0*o**2 - 12*o**2 + 3*o + 3*o**2 to z*o + f + w*o**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11101101110 (base 2) to base 16.\nAnswer: 76e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**2 + 10*f - 32. Let j be g(-15). Let r = -43 + j. Solve u = -5*b - 3*u - 20, r = -u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 + 13 + 2*t + 0*t - 22.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**2 - 9*r + 2. Calculate the lowest common multiple of 2 and z(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = l, 9*l = 4*u + 4*l - 476. Calculate the greatest common factor of 76 and u.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -2*r + 102, 0 = 5*r + 2*v + 3*v - 270. Suppose n = -3*m + m + 59, -2*m - 2*n + r = 0. List the prime factors of m\/2 + 9\/(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 2*n + 0*n = 0. Let r(p) = 2 + 4*p - p**3 + n*p**3 + 4*p + 2*p - 6*p**2. Give r(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -13\/3, 13, -738.\nAnswer: -738, -12, -13\/3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from egeegeeeegreeeee.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 77970799429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jtjajggmaaa. What is prob of picking 2 j and 1 a?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = 60 - 0. Let l = -8 - z. Suppose l = 3*p - 12. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 5*b - 34, 8 = 4*f - 2*b + 24. Let x(g) = -3*g**2 + 6*g + 8. Let h(y) = -y**2 + y + 1. Determine f*x(r) + 4*h(r).\nAnswer: -r**2 - 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(4\/9))**2*((j\/(j\/(j**(9\/4)*j)))\/j*j)\/j**14 assuming j is positive.\nAnswer: j**(-347\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2158 by 1079.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-810)\/126 + 6)*(0 + 7\/(-12)). Solve q*v**5 + 0*v - 1\/4*v**3 - 1\/2*v**4 + 1\/2*v**2 + 0 = 0 for v.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 120303 - -53?\nAnswer: 120400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 26a (base 14) to base 4\nAnswer: 13212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4.9 + 0.9. Let m = 15 + -13.9. Let y = 0.1 - m. What is the closest to -0.2 in y, 1\/5, h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 + 8. Suppose 0 = m + 4, t + 0 = -3*w - m. Let a(p) = -2*p + 1. Calculate a(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**2 - 14*v + 10. Let m be r(13). Suppose 0 = -c + 4*f - 92, 4*c = -5*f - 323 + 60. Is 30 a factor of (c\/(-16))\/(m\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69 = 4*a - 191 + 66 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 1 - 5. Suppose p*m = -0*m + 14. Is 6\/(9\/m - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the first derivative of 5*v**4\/4 + 85*v**3\/3 + 140*v**2 + 260*v - 509. Solve w(o) = 0.\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 508 divided by -508.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -14456*b - 12. Let z be u(-11). Suppose 6*h + q - z = 3*h, -159012 = -3*h - 3*q. What is h rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -438, 141, -3, 4, -1, -2.\nAnswer: -438, -3, -2, -1, 4, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(65)\/sqrt(5) - sqrt(13)) + 5)*5.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the second derivative of -j**8\/33600 - j**7\/6300 + j**4\/6 - j. Let z(l) be the third derivative of i(l). Factor z(w).\nAnswer: -w**2*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*a\/a**(-4\/3))\/a**(8\/7))\/(a**3)**(2\/19))**(2\/11) assuming a is positive.\nAnswer: a**(136\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -58*-49\nAnswer: 2842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, m: 2, z: 4, x: 5}. Give prob of sequence mo.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -50\/47 + 1097\/987. What is the fourth smallest value in l, 1\/12, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 74356894, 74356895, 74356896, 74356897?\nAnswer: 74356898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 540 = -12*x + 30*x. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 7 = -15. Let q be (3 - 3)\/(l + 1). Solve 2*s = 4, -5*u + 4*u + 3*s - 8 = q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from stsvsty. Give prob of sequence sss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 4*f = 4*k + 6, -3*k - 2*f + 15 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + 5, -2*f + 14 = x + 3*x. Suppose -x*a = a - 576. Calculate the highest common factor of 16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 1  (b) -1\/8  (c) 4497  (d) -3  (e) 0.1  (f) -0.5  (g) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (226*j + 1986*j**2 - 363*j + 67*j + 70*j)*(1 + 1 - 4)*(-3 + 1 - 1).\nAnswer: 11916*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4872?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(54) + sqrt(216))*2)\/(sqrt(33)\/(-1*sqrt(11))))**2 + 3.\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 12802 (base 13) to base 8\nAnswer: 103005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1164 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cz when two letters picked without replacement from ceczwcwwwzeezzczpcw?\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrpplr. Give prob of sequence lr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.145 + -0.14501102. What is j rounded to seven dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 20599760 to the nearest one hundred thousand.\nAnswer: 20600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 139 + -140. Let n(j) = 8*j**2 - 1. Determine n(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36629458 to the power of 1\/3, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 2*o**2 - 23*o - 4. Let z be w(30). Suppose z = 9*m - 18451. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1520\/(5472\/72) + 44 + (1 - 5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 2796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*g + 70 - 131 + 61 + 2*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 35747687*h**2 - 3*h + 6375359 wrt h.\nAnswer: 71495374*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - 0)\/((-1050)\/(-60))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4950 and 630.\nAnswer: 34650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(18) + sqrt(54)\/sqrt(3) + 1 - (sqrt(18) + sqrt(36)\/sqrt(2)*-4)) + (-3 + (sqrt(72)*-1)**2)*-6.\nAnswer: -415 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 104 - (9 + -8 + 5). What is the remainder when 145 is divided by 28\/a + 206\/14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61394773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 21278868427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + h - 6 = 0. Let l be (-8)\/((-5)\/(-2) - 3). Suppose l = h*m + m. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 3*y = 19, 12 = s + 3*s + 4*y. Let z be (5 - (-13)\/s)*(-4)\/3. Suppose -2*m + 6*m - 24 = 0. Solve -z*l = -m*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 4, -22, -74, -164, -304, -506, -782?\n\"Answer: -2*s**3 - s**2 - 9*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes after 11:46 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 79 - -1203. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -45*r + 45. What are the prime factors of v(-4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-6)\/2)\/(51\/(-85)). Suppose u - 5*u = 4*f - 48, 3*f + 20 = x*u. Solve 2*w - j = u, -3*j - 10 = -5*w + 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xt when two letters picked without replacement from {t: 2, f: 1, n: 1, b: 2, x: 1, y: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 2*w = 24, 0 = 3*v - v + 2*w - 4. Let x = 6.3 + -6. Let p = -2.34 + 2.34. Which is the nearest to -1\/3?  (a) v  (b) p  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 16\/2 + (0 - -4). Suppose -4*t - q - p = -t, 0 = -5*t + 5*q - 40. What is the smallest common multiple of 6 and ((-9)\/t)\/(3\/30)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1710 + 20521\/12. Let p(m) be the second derivative of 0*m**3 - m + i*m**4 + 0*m**2 + 0. Let g(d) = -d**2. What is p(g(v))?\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(132)*1)\/(-5*-2*sqrt(12)).\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(((s**25*s)\/s)\/s))**(-12)*(s**35*s*s)**(-34))**(-3) assuming s is positive.\nAnswer: s**2946","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69766 is divided by 153?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*k**3 - 2*k**2 + 128*k wrt k.\nAnswer: 12*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28462305?\nAnswer: 3, 5, 101, 18787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -51627 greater than -51049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 295075*x**3 + 6*x - 7*x - 295092*x**3.\nAnswer: -17*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -2*q**3 - 6*q**2 + 2*q - 4. Let b be s(9). Is 5\/(-20)*-8 - b\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*d**2 - 51*d**2 + 7*d**2 - 43*d**2 + 9*d**2 + 200*d**2.\nAnswer: 116*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4608 + 15760. Let s = 6499 - g. Let w = -41950\/9 - s. Calculate the common denominator of w and -25\/38.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**2 - 6*z - 5. Let n be c(-4). Suppose -3*j + 68 = -t - t, -2*j = -n*t - 52. Suppose 2*u = -s + j, 51 = 5*u + 3*s - s. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 + 13*x + 26. Let r be d(-11). Suppose -h - 5*o - 13 = 40, r*h + 227 = -5*o. Let c = 248 + h. List the prime factors of c.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6903901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:24 AM and 2:54 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*c - 4*c + 2*c**2)*((-6 + 3 + 1)*(0*c - c + 2*c) - 4*c + 2*c + c - 2*c - 2 + 2 - c - 5 + 5).\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 444*j - 477*j - 681 - 1878 = -546 for j.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5250220700 to the power of 1\/3, to the nearest integer?\nAnswer: 1738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 148 = 38*m + 72 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-21)\/(-133)*2\/3. Suppose 0 = 3*w - r - 100, 3*r + r + 48 = w. Let u be 24\/w - 9\/12. Is u < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 30 = 4*l. Put 0, 2, l in decreasing order.\nAnswer: 2, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t + 20 = 2*t, 0 = -5*m - t + 20. Let p be (47*-1)\/(2\/20). Let q be (8\/p)\/((-2)\/m). Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**2 + 6*z + 6. Let d be h(-6). Solve -3*f = 6 + d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 73 = 2*f - 4*f, 6 = -3*f. Suppose -5*z = -2*y - 27, -h = 6*y - 3*y - 4*z. Let o = -0.02 + 0.42. Put 3, y, o in descending order.\nAnswer: 3, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 378626 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + -7277666463.\nAnswer: -7277666468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3294*t - 659808 = -10452*t for t.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 743 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*r + 6*r + 13. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -55352504 + -21?\nAnswer: -55352525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 z when two letters picked without replacement from {z: 1, x: 1, l: 2, h: 1, n: 5}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 6260.319 hours?\nAnswer: 375619.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w + 14*c - 11*c = 6*c - 12, 0 = 6*c - 7 - 17 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do -7\/1013 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 1017*w**3 + 3 + 7526*w**3.\nAnswer: 6509*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 39, -6 in increasing order.\nAnswer: -6, 3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (10\/(-12))\/(2 - 548\/270). Let h = -57\/2 + l. Let s = -0.3 - -0.2. Is h greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.0077, 2\/13, 925 in decreasing order.\nAnswer: 925, 2\/13, 0.0077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.4969644 kilograms?\nAnswer: 496964400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = u + 4*f - 10, f + 18 = -4*u + 28 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*r + 10*r**3 + 9*r + 3*r**3 - 6*r**3 - 7*r**3 + 0*r**3 - 4*r**3 + 5*r**3 + (0*r**2 - r**2 + 3*r**2)*(2*r + 0*r + 0*r) + 0*r**3 - r**3 + 0*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*p**4 + p**4 + 2*p**4)*(81 - 19 + 13) in the form h*p**3 + x*p**4 + v*p**2 + d*p + w and give x.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3915*b + 112853 = -43747 for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -90*m**2 + 0 + 0 - 135*m**2.\nAnswer: -225*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6 + 26b39?\nAnswer: 26b33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h**4 + 79*h**3 + 150*h**2 - 316*h - 616 = 0. Calculate h.\nAnswer: -77, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2953551203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*z - 3*z = -l - 5, -4*z = 4*l + 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -170.8 - -158. Let w = 2.2 - x. Let i = w + -15.022. What is i rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -25136*x**3 - 20252*x + 1 wrt x?\nAnswer: -150816*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**2 + 8*z + 7. Let u be f(-7). Which is smaller: 2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15 - 11. Suppose 5*a - a = -3*h + 46, -h = l*a - 18. What is the highest common divisor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91\/1978 and -22\/2021?\nAnswer: 92966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3831.119 millilitres to litres.\nAnswer: 3.831119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than or equal to -148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001959331 rounded to 7 decimal places?\nAnswer: 0.0000196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*i + 19 = 4*s + 11*i, 0 = 2*s - 3*i + 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 3*n + 1 = h, -5*n + 64 = 4*h. Suppose -11 = -5*d - 1. Suppose -u - 3 = -d*u. Solve -2*b + u = h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/(48\/(-183)) + 1\/(-4). Let i be 1\/(55\/23) - x\/25. Suppose 5*t - 6 = 3*t. Which is the nearest to 0.4?  (a) i  (b) t  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z\/(z*z**(-9)))\/z*(((z*z\/((z**14*z)\/z))\/z)\/z)\/z*z\/z**11*z\/(z**(1\/8)*z) assuming z is positive.\nAnswer: z**(-129\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(128) + -1)*-4 - (-4 + sqrt(128) + 1))**2.\nAnswer: -560*sqrt(2) + 3249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 894839 and 385.\nAnswer: 31319365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2 + (-13)\/3)\/(3\/(-9)). Let x = 21 - v. Solve 0 = -2*z + 10 - x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -824567, -824546, -824507, -824444, -824351, -824222, -824051?\n\"Answer: v**3 + 3*v**2 + 5*v - 824576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7.9 - -11.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 24919.92 millennia in years?\nAnswer: 24919920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*a + 3*a + 8, -12 = -4*k + 4*a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and -0.138?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - 46*c = 3*c + 9*c + 212, 2671*q = 2675*q + 4*c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 12*c**2 + 106*c + 4. Give r(-9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 2 times 93\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from umhmmrmmformurr. Give prob of picking 1 h and 1 o.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -80191\/7 - -67929\/7. Let f = m + 1756. Let y = -63499\/8 + 7942. Find the common denominator of y and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/4 + 99\/(-44). Let f be ((-4)\/s)\/(8\/42). Suppose -f*n + 204 = -4*n. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -12 + 20 - 2*b**2 - 8. Let v(y) = -11*y**2. Calculate r(v(f)).\nAnswer: -242*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/166986 and 65\/55662.\nAnswer: 166986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add together 401.78543 and 0.3.\nAnswer: 402.08543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 52*k**6 + 2*k**5 - 1519*k**3 + 7*k**2 - 2267*k + 6 wrt k.\nAnswer: 6240*k**3 + 120*k**2 - 9114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (-4*sqrt(352))\/(-2*sqrt(1100)).\nAnswer: -5 + 4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -99\/342244 and 18\/10695125.\nAnswer: 42780500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -20*u**2 - 30*u - 10. Let y(t) = 29*t**2 + 42*t + 14. Let o(g) = 7*b(g) + 5*y(g). Let a(r) = -381*r**2. Calculate o(a(v)).\nAnswer: 725805*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of 1\/4*u**4 + 7 - 2\/3*u**3 - 3*u**2 + u. Calculate i(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -2*s + 2 + 4, 4*s + 8 = -u. Let r = 5 - s. Let b(w) = w**3 - 6*w**2 - 6. Let a(n) = -n**2 - 1. What is r*a(o) - b(o)?\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1040*m**4 - 2*m - 572 with respect to m.\nAnswer: -4160*m**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 360804733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -c001 + 1d?\nAnswer: -bed3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -18084, -36052, -54018, -71982?\n\"Answer: n**2 - 17971*n - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -532535 - 27?\nAnswer: -532562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 78*r - 28. Let a be p(6). Suppose 0 = 11*m - 3*m + a. Let g = 57 + m. Solve 0 = -f + k - 1, -3*f - 7 = -5*k + g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -5*i**4 + 315*i**3 + 360*i**2 - 2500*i - 3840 = 0.\nAnswer: -2, 3, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2 + 12*y + 2. Let w be h(-12). Suppose -6*p + 8*p = 10, 0 = -w*g - p - 92995. What is g rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(352)\/(1*sqrt(24)\/sqrt(3)) + (sqrt(2816) + -1 - sqrt(44))**2 + ((sqrt(440) + sqrt(440)*-2)\/sqrt(10))**2).\nAnswer: -104*sqrt(11) + 8804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-2)*b**(-7))**(-1\/8))**9 assuming b is positive.\nAnswer: b**(81\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 2\/7, -5\/6, 0.075, 1, 11, -1\/4?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppn when three letters picked without replacement from nnnpppn?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:54 PM and 9:33 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -18*q + 5. Determine p(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 61797 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 - f**2 - 1 + 2 + (-3*f + 2*f**2 + 3*f)*(14 + 17 - 15).\nAnswer: 31*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*b - 18*b - 102. Suppose 222 = 3*n - b. Is 46 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -ca - -26?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**2. Let d(c) = 7*c + 16. Let f(o) = -36*o - 78. Let z(m) = -21*d(m) - 4*f(m). Give z(u(r)).\nAnswer: -3*r**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -10*r + 24. Calculate p(-6).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -70*u**5 - 132*u**4 - 24949*u wrt u?\nAnswer: -1400*u**3 - 1584*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.22 and 0.01.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 3\/104  (b) -250  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3984 or 3942?\nAnswer: 3984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(((-120)\/(-50))\/(-6))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -3, 30, 10, -4 in decreasing order.\nAnswer: 30, 10, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + (-314*6\/(-24))\/(1 + 9)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 = 7*n - n. Suppose 11*x - n = 10*x. Let m be 3\/30*3 - (-6)\/x. What is the closest to 1\/4 in m, -0.1, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 903385?\nAnswer: 5, 7, 53, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a - 5*a - 5*g - 27, -g = -a - 1. Let p = a + 2. Is 1*(-2 + 17 + p) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 6 = 4, -2*m = -2*l + 2. Let j(g) = g**2 - 4*g + 1. Let s be j(5). What is the remainder when m\/6 + 44\/s is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 - -1. Is g <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the first derivative of i**2 - 4116. Let a(g) = 5011*g. Determine c(a(p)).\nAnswer: 10022*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*v = 7*v. Let o(r) = -r**2 + 10 + 7*r**3 - 4 - 2*r - 6*r**3 + 3. What is the smallest common multiple of o(v) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -582 and -582 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 9873784 to the power of 1\/2, to the nearest integer?\nAnswer: 3142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2328327 (base 12) in base 14?\nAnswer: c84a51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes before 7:27 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2 + -49 + 0)*-1. Suppose 246 = 3*j + 3*a, -3*j = 5*a + y - 303. Let t = -33 + j. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -5*d**3 + 11*d**2 + 16*d + 10. Let r be o(-9). Suppose 0*t - 3*t = -4*m - 6605, -2*t + r = -4*m. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 100 divide 2701563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10\/20 + (-35)\/56. Let u be ((-4)\/(104\/(-10)))\/2. Let f = -27\/130 - u. What is the second biggest value in f, -1, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*c = -11*c - 3. Suppose -2*y + c*y - 2*i + 7 = 0, 4*y + 4*i - 20 = 0. Suppose -l + 2 = -y. Solve 5 = u + l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**2 - 10*y + 2. Suppose -12 = 2*r + 8. Let g be a(r). Let z be ((-20)\/12)\/(g\/(-36)). Calculate the highest common divisor of z and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -19*z**3 - z**2 + z - 1. Let j be g(1). Let v = 30 + j. What is the lowest common multiple of v and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15\/(-54)*3*(-80)\/50?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 308*w. Let z(o) = -9*o + 11. Give b(z(h)).\nAnswer: -2772*h + 3388","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.07 + 0.05. Let g = t + 5.02. Which is the nearest to 2?  (a) -0.4  (b) -1\/9  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the third derivative of -53*w**5\/15 - 1143*w**4\/8 + 62*w**2 + 14*w. Find the second derivative of b(v) wrt v.\nAnswer: -424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 3*a**3 + 2*a**2 + a. Let v be q(-1). Let o be v\/7 - 24\/14. Let w be 3 + 57\/3 + o. Solve -4 + w = -4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -679, -1425, -2163, -2887, -3591, -4269, -4915, -5523?\n\"Answer: y**3 - 2*y**2 - 747*y + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10 - 13) + 1 + (6 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -397655 by -79531.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2) + (sqrt(2) - sqrt(20)\/(sqrt(10) - (sqrt(10) + sqrt(30)\/sqrt(3)))) + (0 + sqrt(8)\/sqrt(4) - sqrt(2)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8867460 and 118822?\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/8*47*592\/(-410404)?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 13258 and 5682?\nAnswer: 39774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes after 1:17 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2694969 nanometers to micrometers.\nAnswer: 0.0002694969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 113 - 45. Let h = a - 46. Which is greater: h or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 8, k: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -7*(-20)\/1890*9\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106*z - 44*z = 3658. Calculate the remainder when z is divided by (-84)\/(-18) + (-4)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*l**2 + 618*l + 31827.\nAnswer: 3*(l + 103)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4710 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 636*u**2 - 1. Let j(h) = -h**3 + 7*h**2 + 6. Let s be j(7). Suppose -5*a + 1 - s = 0. Is k(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a day in minutes?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 3\/7  (b) 0  (c) 0.3  (d) 4  (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - -5. Let l = -39 - -39. Which is the nearest to l?  (a) 5  (b) -3  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18*((-444)\/(-108))\/(-37)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13170 + 13170 + 68*q)*(-q + 0*q + 1 + 2*q).\nAnswer: 68*q**2 + 68*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(15)\/((sqrt(3) - ((sqrt(33) - ((sqrt(33) - sqrt(99)\/sqrt(3)) + sqrt(33)))\/sqrt(11) + sqrt(3))) + sqrt(3)) + 2)*3.\nAnswer: 24 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001169694 to 7 dps.\nAnswer: -0.0000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 21*h**6*r + 5*h**5*r**2 + 33*h**2*r**2 - h**2 - 4*h*r wrt h.\nAnswer: 2520*h**3*r + 300*h**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1200 = -4*u - 8*u. Let o = -83 - u. Calculate the remainder when 66 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 2*c**3 - c. Let m be j(-1). Is m bigger than 2\/167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 142357?\nAnswer: 142357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from {h: 1, f: 2, y: 2, p: 2, c: 1, g: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.39512 * -74\nAnswer: -29.23888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 120105 and 3060?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 54, 51, 48, 45, 42?\n\"Answer: -3*n + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 271 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 103*f + 1260. Give i(-26).\nAnswer: -1418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ffo when three letters picked without replacement from {z: 1, o: 5, f: 5, x: 1, u: 1, d: 7}.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3244379 minus -9040504?\nAnswer: 12284883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(-21)*-1 + (-1328)\/168 + 11. Solve 3*v - v - 2 = 2*w, k*w = -v - 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y - 2*y**2 + 2*y)*(-793*y + 793*y + 39*y**2).\nAnswer: -78*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -2*v**3 + 24*v**2 + 25*v + 12. Let n be r(13). List the prime factors of 120\/20 - (-1190 - n).\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 793 - 4?\nAnswer: 78a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 120*v + 109*v - 215*v + 75. Is j(23) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 + 1 + (0 - -2). Let c(q) = q**3 - 6*q**2 + 7*q - 2. Let a be c(x). Suppose -2*f = -2, -27 = -2*o - 3*f + a. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16 and 9846044?\nAnswer: 39384176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.9, -29, 44819 in descending order.\nAnswer: 44819, -1.9, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*b = -184 + 10. Let p(i) = -9*i - 4. Let w(f) = 19*f + 9. Determine b*w(m) + 13*p(m).\nAnswer: -3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2250 and 90.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = 5*r - 25, 21 = 4*a + 3*r + 5. Let x = a - 4. Let m(w) = -2*w - 2. What is the units digit of m(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -567 divided by -7.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -42 + 46. Which is the third biggest value?  (a) 2\/13  (b) 1  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -2*o**2 + 23*o - 6. Calculate l(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**3 - p**2 - 2*p - 4. Let i be ((-12)\/5)\/(4\/(-10)). Let j(d) = -d**3 + 7*d**2 - 8*d + 2. Let s be j(i). Let k be s\/(-2)*15\/25. Give f(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven halves of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i - 15 = 2*i. Suppose 0 = l + 2, 7*h + 5*l = 3*h + 26. What is the remainder when i*(-30)\/(-5) - 3 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**3 - 167*i**2 + 552*i - 10056. Give j(164).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is (6\/12 - 941\/(-2))*1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m - 476 - 2048. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - n + 13 = -o, -5*o - n = -19. Let b = o - -5. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that 3*z**5\/2 + 51*z**4\/2 + 138*z**3 + 258*z**2 + 144*z = 0.\nAnswer: -8, -6, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-4)\/(-6))\/((-5)\/(-15)). Let f = -3\/2 + u. Let q be 4*((-35)\/9 + 4). Which is the closest to 1?  (a) -2  (b) f  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 11) to base 3.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 647 or 386772\/599?\nAnswer: 386772\/599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 3533.412us?\nAnswer: 3.533412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - -4 - (-49)\/49?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 13*z + 9. Let g(a) = 3*a + 2. Let q(p) = -2*f(p) + 9*g(p). Let m(c) = -10*c**2. What is m(q(l))?\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -145720 rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 71079903 to the power of 1\/4, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 6*g**3\/11 + 312*g**2\/11 = 0.\nAnswer: -52, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -21290 + 21290. Solve o - 69 + 78 = x for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:47 PM and 12:56 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 309*o = 214*o + 198 - 612 - 726 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*d**2\/3 + 36220*d + 108645.\nAnswer: 5*(d + 3)*(d + 21729)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -288 = -3*a + 234. What are the prime factors of a?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0*2\/6)\/2. Suppose -2*x + 20 = -k*x. Solve x = -5*t + 30, -16 = 4*c - 2*t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 18988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**2. Let s(w) = 9*w**2 - 4*w - 2. Let y(j) = -j + 1. Let f be y(1). Suppose -i = -f*i - 2. Let z(k) = i*s(k) + 22*r(k). Let z(q) = 0. What is q?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 162*d = 165*d - 408. Does 46 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:22 PM and 1:03 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -922982\nAnswer: 1\/922982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 143248848 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -2*c**2 - 93*c - 24. Calculate the remainder when 108 is divided by i(-46).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 38, 73, 108, 143?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-4)*(448\/182)\/(-16).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 812 is divided by 293?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -140*j + 136*j = -148. Suppose 2*t = 3*t + 28. Let n = t + j. Solve -3*g = -n + 24 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10, 11, 6, -11, -46, -105?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 713146*q**3 - 435321*q**2 wrt q?\nAnswer: 4278876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q**3 - 2576*q**2 + 513470*q - 2503200 = 0.\nAnswer: 5, 240, 1043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 47 - 143\/3. Let s = 4.07 + -0.07. What is the nearest to z in s, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 26*q**2 + 3*q - 9. What is the remainder when v(2) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 14\/9*h**3 - 14\/9*h + 2\/9*h**2 - 2\/9 = 0.\nAnswer: -1, -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**3 + 10. Let b = -1 + 3. Suppose -b*i - 2*f - 6 = 0, -4*i + 5 = -3*f - 4. Is t(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4 - -1)*(-60)\/(-9). Is (i\/40)\/((-1)\/7694) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 54 and 3?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 923701?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 9 - (9 - 3) - 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -21, 1\/4, 3, -2\/9.\nAnswer: -21, -2\/9, 1\/4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**16*f**(1\/2))**(-33) assuming f is positive.\nAnswer: f**(957\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.00226 and 0.27657?\nAnswer: 0.27883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 18*h**2 + 36*h - 36. Let m(f) = f**2 - f + 1. Let j(c) = -36*m(c) - u(c). Let l(d) = -11*d**2. Give j(l(t)).\nAnswer: -6534*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 79652728 divided by -19913182\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 8713578527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5190)\/(-173)*(6\/(-4))\/3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5657 - -4?\nAnswer: -5653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1 - -2) + (-3 - -4). Find the third derivative of 5*q**5 + 0*q + 2*q - 2*q - q**w wrt q.\nAnswer: 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (78 - 36 - 43 + 89*n)*(2*n + 0*n - n).\nAnswer: 89*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 4*x + 24 = 0, -10 = -3*d - 3095*x + 3100*x. Which is smaller: 36 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 224093 and 1385?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -741.84 rounded to the nearest ten?\nAnswer: -740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -621*z - 280*z**2 + 3*z**3 + 560*z - 5*z**3 - 48*z**2 to the form q*z**2 + i*z + a + b*z**3 and give i.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -31639221 + 75169980. Let c = z + -20130759. Round c to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6160102 is divided by 162103?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 4*m - 8 = 0, -4*m + 7 = -5*y - 1. Let x be (1\/(-6))\/((-11)\/(-99)). Sort y, x, 2.\nAnswer: x, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0887011 and -190.\nAnswer: -16.853209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -317, -4, -2\/7, 2\/11, 0.342 in decreasing order.\nAnswer: 0.342, 2\/11, -2\/7, -4, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -27 + 30. Solve b*w + 0*w = -6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 33984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzvn when four letters picked without replacement from {v: 4, z: 5, n: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2180 a factor of 49165540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -130 - 9*h + h**2 - 134 + 286. What is the remainder when 124 is divided by z(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 837.4204 litres in millilitres?\nAnswer: 837420.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**2 - 4*p - 3. Let g be k(8). What is the highest common factor of 203 and g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 727*p*w**4 - 23*p*w**2 + 4*w**5 + 18*w**2 + 5*w wrt w.\nAnswer: 17448*p*w + 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 > -0.228759971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.5 + 0. Let x(h) = 5*h. Let w be x(-1). Which is the biggest value?  (a) 2\/7  (b) v  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 64\/7*c - 62\/7 - 2\/7*c**2 = 0.\nAnswer: 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9574, 2, 11 in descending order.\nAnswer: 11, 2, -9574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35333?\nAnswer: 89, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*w**5 - 37590*w**4 + 77155200*w**3 - 23859674080*w**2.\nAnswer: 5*w**2*(w - 3572)**2*(w - 374)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46078 is divided by 485.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (18551\/162989086)\/(2\/(-92))?\nAnswer: -1\/191","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2140 divided by 5\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + q)*(-q**4 + q**2 - q**2) + 0*q**5 + 2*q**5 - q**2 + 7*q**2.\nAnswer: q**5 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*w**3 - 2*w**3 - 7*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13 - 7*b + 12 + 5*b + b**3 - 7*b**2 - 22 - 6*b**3 to the form u*b**3 + o*b + v*b**2 + a and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 10 = -3*y. Let g = -1 - y. Let f = g - -2. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2373\/452 - -1*2\/(-8). Solve -x*h + 4*a = 15, 3*h + 9 = -4*a - 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*t**2 - 18544*t + 18544*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 26*f**3 - 56*f**2 - 11. Let i(p) = 9*p**3 - 19*p**2 - 4. Suppose 0 = -3*g - 16 + 4. Let c(q) = g*r(q) + 11*i(q). Solve c(v) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and -23791?\nAnswer: 11895.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 2*z + 11. Put 1, z, 4, 6 in decreasing order.\nAnswer: 6, 4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/(3\/1)*(-1 + 2). Is a greater than or equal to -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 25651.15 millilitres?\nAnswer: 25.65115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -604 + -5?\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 167429306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, -5, 1007 in ascending order.\nAnswer: -5, -2, 3, 1007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**3 + 5*b**2 - 9*b + 6. Let n be q(-7). Let f = -17 - n. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 304 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6\/13?  (a) 2.01  (b) -5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 17614*k - 6006369. Determine c(341).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6339 a factor of 644458813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -7*p - 1. Let k(u) = 140*u + 625. What is b(k(r))?\nAnswer: -980*r - 4376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 769912 and 4038?\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - (-2 - -8)) + (-23 - -42) + -37.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o + 20 = 5*p, -o + 89 = -3*p + 101 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.1  (b) 12  (c) 5\/4  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*a = -56 + 200 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -61 - -91. Let c = 9 + -6. Let f be 3 - (-1 + 3\/c). Solve -6*p = -f*p + 5*j + v, 3*p + 12 = j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -447*i + 440*i = 28 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -42.3 + 39. What is y rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000082889 rounded to seven dps?\nAnswer: -0.0000829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-c + c - c)*(0*c**2 + 3*c**2 - 2*c**2) + 0*c**3 + 0*c**3 - 2*c**3 + 2*c**3 - c**3 + 4*c**3 to the form d*c + i*c**2 + r*c**3 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - p - 27, 5*d - 65 = -0*d + 2*p. Let b(q) = d*q - 22*q + 13*q. Let v(h) = 7*h. Give b(v(c)).\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + 1 - 14 - -13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/14 of a week in hours?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 + -4)\/((-24)\/5544*(5544\/48)\/(-21)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, 15\/7, -0.02, -8 in increasing order.\nAnswer: -8, -0.02, 0.2, 15\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 + 3*h + 7. Suppose z - 23 = -4*k - 0*k, 3*z = -5*k + 34. Calculate r(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2878\/78)\/(5\/75). Let b = u + -553. Which is greater: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7456 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*w + 207 = 3*k - 0*k, -k = -4*w + 41 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ae when two letters picked without replacement from {k: 2, a: 2, p: 1, w: 1, e: 1, x: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes before 5:22 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-seven halves of a meter in millimeters?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 124 = -4*x, x - 68 = -x - 4*h. Let k(s) = 2*s + 1. Let o be k(-3). Let d be 2\/(-5) + (-52)\/o. Calculate the highest common factor of d and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-1\/5)*x*x\/x**(2\/3))**(-24\/7))**17 assuming x is positive.\nAnswer: x**(-2312\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 984 and 656?\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 81\/2 of a microsecond?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 462*a**3 - 125*a**2 - 5*a - 23*a + 28*a - 148*a**2 wrt a.\nAnswer: 2772","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 159763.8km?\nAnswer: 159763800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the second derivative of 0 + 21*v + 0*v**2 + 1\/6*v**3. Let w(h) be the second derivative of -h**3\/6 - 6*h. Calculate u(w(p)).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1\/1*(-60)\/300\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 5) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.6  (b) -0.2  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 2.6, -10 in decreasing order.\nAnswer: 2.6, -0.3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/7 + 122\/14. Let t(b) = -b**2 + b + 1. Let n(q) = -4*q**2 - 8*q + 7. Let l(x) = -n(x) + 5*t(x). Is 17 a factor of l(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13615*p - 10394 = 4131*p - 633*p - 44620 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h**2 + 10805*h + 21590 = 0.\nAnswer: -2159, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 78 and 17134.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) -135\/4  (b) -995  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 3) + (-1 - (0 - 3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the third derivative of 7*c**4\/24 - 5*c**3\/6 - 13*c**2. Find the first derivative of o(w) wrt w.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/(0 + -1) - (30 + -14). Let x be ((-25)\/(-20))\/((-1)\/a*3). Suppose 21*p = 20*p + x. What is the highest common divisor of 25 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/(-25)*60\/18.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 76 and 8702?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/26 and -23\/642.\nAnswer: 8346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3 - 1105\/9 - -3. Let r = w + 123. What is the closest to r in -1, 1\/3, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that 4*j**2 + 3440*j + 13696 = 0.\nAnswer: -856, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17 - 17. Suppose 2*h - 6 - 6 = k. Let z = h - 3. Which is the third biggest value?  (a) -1  (b) z  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 326*b + 444*b + 2073 + 183 = -824 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 10100101100010 (base 2) to base 16\nAnswer: 2962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(972)*1)\/(2*sqrt(294) - sqrt(294) - sqrt(294) - sqrt(294)).\nAnswer: -9*sqrt(2)\/7 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 39\/7 + 10\/((-910)\/(-39)). Solve -k - 19 = -v*k - 2*l, -4*l + 23 = 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51547611184 - 51547611184 + 50*r.\nAnswer: 50*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.578926 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 1 + 2378*g - 505*g + 229*g.\nAnswer: 2102*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.06164*-265\nAnswer: -16.3346","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 745 is divided by 245.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -9*q**2 + 30811*q - 59351781. Let g(h) = 8*h**2 - 30812*h + 59351748. Let v(w) = 5*g(w) + 4*n(w). Determine u so that v(u) = 0.\nAnswer: 3852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - 32 = -2*m + 5*v, 2*m - v - 16 = 0. Are 2 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 13624154?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -5  (b) -1\/4  (c) -1.31  (d) -0.12  (e) -2  (f) 225\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1897938, -3795830, -5693722?\n\"Answer: -1897892*g - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 6*u - 7*u + 5*u - 3 + 2*u. Let s(j) = 18*j - 10. Suppose w - 14 = -4. Let m(v) = w*t(v) - 3*s(v). Let x(n) = -4*n**2. Calculate x(m(b)).\nAnswer: -144*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -358 - -686. Suppose 2*m + 2*m = j. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 48 - 60. Let a = -11.92 - p. What is a rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -2*s**4 + 9072*s**3 - 330714*s**2 - 9956492*s + 21163296 = 0.\nAnswer: -21, 2, 56, 4499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/159759 and -37\/65766.\nAnswer: 36105534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 33361.083ns in hours?\nAnswer: 0.0000000092669675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 108943055?\nAnswer: 5, 13, 17, 19, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1334474639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/10)\/((-11)\/55)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 276 is divided by 98.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6 * 40.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2104 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 19 - 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 8*j = -8. Suppose 3*r + j*r = 90. Suppose -6*p + z - 34 = -p, 5*p + r = -3*z. What is p rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:42 AM and 10:14 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -115 or -116?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**3 - 16*f**2 + 22*f - 1. Determine n(16).\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 1.1  (b) 1  (c) 19  (d) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.364317 * 2.3\nAnswer: 0.8379291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6229 - 6210. Solve -3*r - 5*f + 19 - 2 = 0, -4*f + l = -3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 6, m: 1, d: 4, f: 2}. What is prob of picking 2 r, 1 f, and 1 m?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 20153*r - 201. Is s(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 618050 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 36 + -21. Suppose -s + 9 = 5. Suppose -w - 9 = 2*w, w = s*v - 303. Calculate the greatest common factor of v and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s**4 - 6728*s**3 - 182334*s**2 - 344480*s - 168875 = 0. Calculate s.\nAnswer: -25, -1, 6755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the third derivative of v**5\/30 + 3*v**4\/8 + v**3 + 5*v**2. Let o be r(-9). Suppose -f = 2*f - 2*m - 108, -3*f - 5*m = -o. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*h**2 + 42*h + 13 + 4 - 124*h + 2*h**2.\nAnswer: 2*h**2 - 82*h + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 101 - 9 = 5*r, -3*f - 30 = -2*r. Calculate the lowest common multiple of r and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y - g + 4, 0*y + y = 4*g - 11. Calculate the remainder when 38 is divided by -3 - (1 + -16 - y).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + a + 3*a = 0, 0 = -3*k + a. Let f(v) = 11*v**3 - 8*v**2 + 3*v + 1. Let u(b) = -4*b**3 + 3*b**2 - b. Let s(h) = 3*f(h) + 8*u(h). Give s(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 - -3. Let v = 14 - k. Factor 2*c**2 - 3*c**2 + 5*c**2 - 2*c - 9*c**4 - 5*c**v + 7*c**5 + 5*c**2.\nAnswer: c*(c - 1)**2*(c + 1)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 7, n: 2}. Give prob of picking 2 n and 2 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*x + 2*x + 2*x)*(3 - 6 + 4) - 2*x + 5*x + 2*x + (4 + 2 - 4)*(3 - 3 - x) - 1 + 2 - 3 + 17*x - 5*x - x + 0*x to the form z*x + g and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = l + l + 2, 28*x + 35*x - 593*l = 66*x + 611 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-2)\/28)\/((-2)\/(-4)) and 127\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -151 - -301. Suppose -2*h = -7*h + r. Let a = 32 - h. Solve -3*p = -2*j + 13, 0*p - a*j + 7 = 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -583, -572, -487, -274, 121?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (5\/(-2))\/(7\/(-70)). Let f = j + -23. Solve 4*a - f = -14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5.7191 - -44660.\nAnswer: 44654.2809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1433659 and 9545.\nAnswer: 1909","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -10*1\/(-4)*2. What is the second derivative of 17 - 35 + 18 + o*s**2 - 13*s wrt s?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x - 8, 10 = -3*o - 4*x. Let t(w) be the second derivative of 37\/4*w**4 - 11*w - 30*w**3 + 1\/10*w**6 + 54*w**o + 0 - 3\/2*w**5. Factor t(f).\nAnswer: 3*(f - 3)**2*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the second derivative of s**3\/3 - 3*s**2\/2 + 6*s. What is the remainder when 26 is divided by o(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1499629497.\nAnswer: 3, 499876499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000756459052 to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.52223 rounded to 3 dps?\nAnswer: 1.522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(-2) + (-22)\/4. Let n = -33.4 + -6.6. Let l = 40.1 + n. Which is the nearest to l?  (a) w  (b) -1\/4  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 18, -5.\nAnswer: -5, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7491446*m**5 - 135858783*m**2?\nAnswer: 449486760*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*w = -8*w - 126 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 848*m + 341 = 859*m for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -1039?\nAnswer: 4\/1039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20080, 20503, 21752, 24241, 28384?\nAnswer: 34595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 1 q when three letters picked without replacement from {q: 9, y: 7}?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1450 a factor of 2388208848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -89950 and 22?\nAnswer: -1978900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*t + 5*t = -8. Let q(i) = i + 2*i**3 + 6 + i**t + i**3 - 4*i**3. What is the units digit of q(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i*i**3)*i*i**(3\/2))\/(i**2\/i*i\/(i\/(i\/(i**(-7)\/i)))))\/(((i*i**(-1\/4))\/i)**(-25)\/((i\/i**(2\/5))\/i*i**3\/i)) assuming i is positive.\nAnswer: i**(-303\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vpyovav. Give prob of sequence aaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 61, 604, 2075, 4924, 9601, 16556, 26239?\n\"Answer: 75*i**3 + 14*i**2 - 24*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 2*a**2 - 13*a + 25. Let l be w(8). Calculate the greatest common factor of l and 539.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:56 AM and 1:51 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 5301.45 minutes in nanoseconds?\nAnswer: 318087000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 280 + -149. Suppose -w - 133 = -d, -3*d + 4*d - y = -w. Calculate the highest common factor of 88 and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the first derivative of -q**9\/3024 + q**7\/420 - q**5\/120 + 2*q**3\/3 + 1. Let y(p) be the third derivative of x(p). Solve y(k) = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -2*c**5\/5 + 3804*c**4\/5 - 174348*c**3 - 884869552*c**2\/5 - 23150230026*c - 289924186860 = 0.\nAnswer: -197, -14, 1155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 488590534 and 21738?\nAnswer: 7246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 - 3642?\nAnswer: -3641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**2 - 55808*x + 389316608.\nAnswer: 2*(x - 13952)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*d + 1 - 1)*(1 + d**3 - 1) + (3*d + 0*d - 5*d)*(9*d**2 - d**3 - 9*d**2) to c*d**2 + j*d**4 + n + h*d**3 + t*d and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -825 + 853. Suppose 9*r + f = 109. What is the remainder when r is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 325*f - 321*f - x + 25 = 0, -3*x = -f - 42 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 45*z + 40. Let v(x) = 43*x + 33. Give 6*p(l) - 7*v(l).\nAnswer: -31*l + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2 - 14\/8 - 944\/(-64) is divided by (-2)\/5 + (-66)\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 88.5 - 20.5. What is the second biggest value in -0.2, 5, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 + -4. Suppose -q - 24 = -g*q. What is the units digit of ((-8)\/2)\/((-8)\/q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 210 (base 4) to base 16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/32 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*x + 101 = 8 - 27. Let c = 2 - 3. Let w = c - -4. Solve -q - x + w = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.4, 38, -2\/9, -1\/27, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -9*u**3 + u**2 - 11*u - 2. Let y be x(-6). Round y to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -80637 divided by 3.\nAnswer: -26879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 49659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37646 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.8 or -34\/259?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2067*k**4 + 2233?\nAnswer: -8268*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -38563 - -2608.\nAnswer: -35955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 11:58 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 6935343 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.0502 + -0.0502. Let f = -61 - -119. Let h = 169\/3 - f. Which is the second smallest value?  (a) h  (b) 2  (c) k  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9652791 nanometers in meters?\nAnswer: 0.0000000009652791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/((45\/(-10))\/(-9)). Let k(a) be the third derivative of 0 - 1\/90*a**5 - 1\/108*a**m - 2*a**2 + 2\/27*a**3 + 0*a. What is w in k(w) = 0?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -17, -7513.37, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 3*l + 2 = 0, -2*a - 3*l - 37 = -7*a. Suppose 2*r - 4*r - 26 = -2*t, 69 = -a*r + t. What is the smallest common multiple of 3\/(r\/(-8) + -1) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/(-16)*(352\/(-24))\/(-11). Let b(v) be the first derivative of 17 - 4*v + a*v**4 + v**3 - 1\/2*v**2. What is b(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*(-3)\/4*(-6)\/(-63).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 562 + -559. Let b(j) = -j**2 - 3*j - 1. Let h be b(-1). Solve -c + s = h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 + 4. Suppose 3*c = -j + 15. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 5, b: 2}. Give prob of picking 2 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 5, 19, 43, 77, 121, 175, 239?\n\"Answer: 5*v**2 - v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 20*n**2*o*s + 2*n**2*o - 93*n**2 + 6720*n*o*s - 2*o + 208 wrt s.\nAnswer: 20*n**2*o + 6720*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36 - -150 - (28 + 49).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12873 is divided by 2144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 2*t - 1)*(0*t + t + t) - 319 + 319 + 528*t**2 to the form w*t + r*t**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**1*m*m)**8\/(m\/(m*((m\/(m\/(m**(-1)\/m))*m)\/m)\/m))**(-1\/33) assuming m is positive.\nAnswer: m**(265\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/80 - (-537889)\/220. Which is smaller: c or 2444?\nAnswer: 2444","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uug when three letters picked without replacement from uujgogmgjgjmuguj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -25 - (60\/(-8) - (-100)\/(-40)). Let b(x) = -x**2 - 17*x - 6. Give b(r).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**2 + 10*c - 35. Let q be i(-28). Let v = 472 - q. Solve -5*z = -v*t - 18, -4*t = -3*t + 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 273187277 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10218027.\nAnswer: 3, 3406009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-12)\/18)\/(4\/6). Let q(a) = 11*a**3 + a + 1. Give q(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1476 or 8857\/6?\nAnswer: 8857\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2152*n*w - 121*n - 980513*w wrt n?\nAnswer: 2152*w - 121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 14 = -10*h. Suppose h*j = -5*d + 605, -7*j = -3*j - 2*d - 1174. What are the prime factors of j?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 127991*g - 55 - 3823 = 128066*g + 322 for g.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*k + k + 5*k)*((-4*k**2 - k**2 + 3*k**2)*(-5*k**2 + 12*k**2 + 3*k**2) + 2*k**4 - 3*k**4 + 4*k**4).\nAnswer: -34*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -107565 - 127252.\nAnswer: -234817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -40 + 57. Let o = q + -19.2. Let b = 2.6 + o. What is the nearest to -1 in 3, b, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:04 PM and 8:08 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1619, 1618, 1617, 1616, 1615?\n\"Answer: -v + 1620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6955608206?\nAnswer: 2, 32911, 105673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fvp when three letters picked without replacement from vfvpyyfcdcvdcdv?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -519834, -1039650, -1559444, -2079216?\n\"Answer: 11*z**2 - 519849*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.2 and -14223.\nAnswer: -14223.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 11854747753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that -2*k**2\/9 - 4*k + 38\/9 = 0.\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21, -57, -119, -213, -345, -521, -747, -1029?\nAnswer: -1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -156036 by 156036.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3.49442 + 787.46058. Let o = 787 - g. Let t = 0.045 - o. Is -15 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -17 + 16. Let x = -1051\/9 - -117. What is the third smallest value in 6, x, 3, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 62*a + 2000. What is the units digit of o(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + 10306 - 10298 = -4*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u - 6*u - 3*g = -18, 6*u - 7*u + 3*g - 2 = 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 248 = -w + 239 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes after 9:00 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are 12\/1427 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 1  (b) 0.52  (c) 2753\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*f + 3207 = -3840. Let a = 245 - f. Solve -a*u + 4*c - 24 = -2, 5*c - 11 = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r**4\/2 + 330257*r**3\/2 + 2972259*r**2\/2 + 8916723*r\/2 + 4458348 = 0.\nAnswer: -330248, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 84678510 divided by -2419386\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 101111110101 (base 2) to base 8\nAnswer: 5765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12260929, -12260929, -12260927, -12260923, -12260917?\nAnswer: -12260909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*v + 3*v**4 + 0*v + (-89*v**2 - 3646*v + 3646*v)*(-v**2 + v**2 + v**2) - 2*v**4 + v**4 + 0*v**4 to z*v**2 + s + o*v**4 + d*v + x*v**3 and give o.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 50 - 41. Suppose 30 = j + a. Does 35 divide (-2580)\/(-14) + 2 + (-6)\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2012a7 (base 14) to base 2\nAnswer: 100000111011010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 45 + -29. Suppose -f + 14 = 3*d, -3*d = 4*f - 4*d - 30. What is the highest common divisor of f and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, 3, 2\/333?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 13 + 4\/(44\/(-55))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4937 + 4952. Solve -f*s + 6*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.39 + -0.09. What is the biggest value in -3, -0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-10)*3)\/((-1)\/(-2)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -3, 0.62, -2?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p + 4*u, 0 = -7*p + 3*p + 3*u. Let f be 1\/(474\/173)*-885. Let y = 323 + f. Is y less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 106*j**2 - 367*j - 39. Is 12 a factor of c(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 0 + 1 + (-2 - 1 + 4)*(0 + 3 - 1) + 16 + 8 - 18)*(3*a + 2*a - 3*a)*(1 + 2 - 5) in the form t + c*a and give c.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*a + a - 2*a)*(-45 + 43 + 94) as z*a + d and give z.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 6586591819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 210947137 from 7835.\nAnswer: -210939302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -5369, -5378, -5411, -5474, -5573, -5714, -5903?\n\"Answer: -w**3 - 6*w**2 + 16*w - 5378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -113 + 118. Let w(k) = k**2 - 4*k - 1. Determine w(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -68414673 divided by -6969?\nAnswer: 9817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -3*t + 651, -5*t + 3*i - 4*i = -1108. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (107*u - 43*u**2 - 107*u)*(5*u**2 + 0*u**2 - 2*u**2) to the form s*u + o*u**4 + v*u**3 + b + j*u**2 and give o.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3248*v**2 - 9*v**4 + 274 + 37*v - 268 + 3246*v**2 to the form t*v**4 + j*v**2 + q*v + s*v**3 + r and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1453, -2679, -3681, -4459?\nAnswer: -5013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/8798 and 11\/498.\nAnswer: 26394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 3*q - 450, 2*q = 2*j + 374 - 74. What is the greatest common factor of q and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -73 + 56. Let x = 516\/7 + -74. Put -5, k, x in descending order.\nAnswer: x, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14938\/(-482) - -27*2201\/1917?\nAnswer: 2\/241","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bju when three letters picked without replacement from {b: 1, j: 3, u: 1, i: 1, y: 7}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -22*q**2. Let g(z) be the first derivative of 4*z**3\/3 + 189. Calculate d(g(x)).\nAnswer: -352*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-600)\/(-125)*(-9 - -10). Find q such that 32\/5*q + s - 18\/5*q**3 + 4\/5*q**4 - 42\/5*q**2 = 0.\nAnswer: -2, -1\/2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and -289890.\nAnswer: -28989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 665*z = 667*z - 1994. What are the prime factors of z?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 833912 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:32 AM and 6:57 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x = b + 3*b + 24, x + b = -7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 2*v**2 + v - 8. Let q be -20 + 4\/8*-2. Let m = q + 17. Let j be r(m). Solve 4*n - j = 8*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 968*m = 962*m + 6. Let y be 1\/(-1) + (-2)\/2. Let d be y + 2\/(6\/3). Put -2, d, m, -5 in descending order.\nAnswer: m, d, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*y**3 - 18*y**3 + 8*y**3 - 23*y**3 + 11*y**3 + 13*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 120 and 54?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**3 - 2*l**2 + 4*l - 11. What is i(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 4653.653 kilograms?\nAnswer: 4653653000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the first derivative of l**6\/2 - 3*l**4 - 2*l**3 + 9*l**2\/2 + 6*l + 150. Let x(u) = 0. Calculate u.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 684 and 324.\nAnswer: 6156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 4*k**2 - 2 + 2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**2 - 21*g - 68. Let r be h(24). Solve -8 = 4*d + r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hjgjohhjggjggjhh. Give prob of sequence ho.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**3 + 4*r**2 + 3*r + 4. Let l(j) = -3*j**2. Let h be l(1). Let c be v(h). Solve 1 = 2*m - 3*n + 2, -3*m - 2 = -c*n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -c30 - 4?\nAnswer: -c34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -4*v + 143. Suppose 0 = -4*k + 8, 8*j - 6*j - k - 30 = 0. Calculate the remainder when d(j) is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -0.2, 26215.4 in increasing order.\nAnswer: -2, -0.2, 26215.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**3 + 98*c**2 + 96*c - 92. Let s be w(-97). Solve 5*y + 7 = g + 29, -28 = -s*y - g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0.04  (b) 1  (c) -140  (d) -211  (e) -1\/2  (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 3*u)*(0 + 3 - 1)*(0 + 0 - 1).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 2*s = s - 15, 5*t = 5*s - 25. Suppose 5*x - 3*l - 53 = 0, t = 4*x + 4*l - 5*l - 41. What are the prime factors of (4\/x)\/((-2)\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 113508.\nAnswer: 2, 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the third derivative of 3*y**7\/70 + y**5\/60 - y**3\/6 + 2*y**2 - 2. Find the third derivative of f(l) wrt l.\nAnswer: 216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 7, -1\/5, -0.1, -24\/13, -4?\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -2*g - 7. Let p(i) = -i**3 + 8*i**2 - 9*i + 2. Suppose 4*k + 4 = 0, 5*v - 2*k = -4*k + 33. Let d be p(v). Let m = d - -7. Determine a(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*q + 5*q = -35*q - 11*q + 1024 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 399*p - v + 3 = 406*p, 12*p - 3*v = 2*v - 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the second derivative of 4*h**2 + 0 - 10*h + 1\/4*h**4 + 0*h**3. Differentiate u(v) wrt v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*s**2 - 6*s**3 - 7*s**2 + 12*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-7) + 4136\/(-504) + 8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 136 - 71. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3b + 4d?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 2 b when three letters picked without replacement from {y: 4, b: 16}.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is (-5139)\/(-27) - 4\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**4 - 12379308*t**3 - 12770568408594*t**2 + 76623744693204*t - 114935784160707.\nAnswer: -3*(t - 3)**2*(t + 2063221)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 32266 and 9344?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1187 less than or equal to 1187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -1. Suppose -5 = 4*u - 1. Let d(o) = -2*o - 10. Determine u*d(i) + 12*j(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/5 + 3\/5*c**4 + 2\/5*c**3 - 2\/5*c**2 - 3\/5*c + 1\/5*c**5.\nAnswer: (c - 1)*(c + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 486*c**4 + 2*c**3 - 507*c**4 + 0*c - 5*c - 2*c**3 + 4 wrt c.\nAnswer: -252*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.68 - -3.98. Let q = -1.3 + t. Let p be (-7)\/(-12)*4 - 3. What is the nearest to 1 in -4, q, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 129 - 57 = h, 0 = -h + 2. Does 31 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -38  (b) 18  (c) -2\/9  (d) -5.69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 5430502, 10861009, 16291516, 21722023, 27152530?\n\"Answer: 5430507*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 487451 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27 + -12 + (-26 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 90*t**2 - 1269*t**2 - 12*t + 12*t.\nAnswer: -1179*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/2 + 8 + 0\/(-2). Suppose 3*m + p = 12. Let a(o) = -10*o**m + 29*o**2 - 11*o**2 - 7*o**2. Let w(c) = 13*c**2. What is w(a(g))?\nAnswer: 13*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 13*g**2 - 4. Let l(d) = -493*d**2 + 153. Let r(t) = -4*l(t) - 153*w(t). Let f(s) = -s. Calculate r(f(h)).\nAnswer: -17*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -161\/4706910 and 29\/576.\nAnswer: 150621120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gmgg when four letters picked without replacement from {m: 2, v: 1, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 75989390 and 47570.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1176.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -39 - -64. Suppose 29*i - 952 = b*i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.03 + -0.03. Let f be (1 - (-32)\/(-14)) + 1. Are j and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7\/3 in -12.6, -1\/10, 0.5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - (9 - 4) - (-6 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 - -1020?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 74*g**2 + 1325*g - 156. Let i be s(-47). What is i rounded to the nearest one thousand?\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 5*k + 10 = 4*k, -12 = -2*v - 2*k. Suppose r = -v*r. Suppose -2*j = -2*s + 38, 2*s + 3*j - 10 = 8. Solve 5*n - s = -r*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 131204474.6 to the nearest 100000.\nAnswer: 131200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes before 2:51 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*t - 2*t + 4*t to d + j*t and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 a factor of 652720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(35)\/(sqrt(7)*-1) - sqrt(55)\/(sqrt(11)*-2 - sqrt(11))) + 0)*6.\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7207*v + 5865 = -6952*v for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1291\/21462 - 5\/98. Let x = -199\/2190 - i. Which is smaller: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78359777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/(7\/(-14)) + 1 + -3. Let o(s) be the second derivative of v - 1\/6*s**3 + s + 1\/20*s**5 + 0*s**4 + 0*s**2. Find the second derivative of o(l) wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -166748 - -e?\nAnswer: -16673a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*g - 38*g + 38 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 + 34*k - 70. Let j be z(31). What is the greatest common factor of 115 and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 489, 502, 523, 552, 589?\n\"Answer: 4*t**2 + t + 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -174426 or -175280?\nAnswer: -174426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*h**2 + h**2 + 2*h**2 to the form z*h + j*h**2 + n and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -264, -5, -193, 2, 1, -2 in increasing order.\nAnswer: -264, -193, -5, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 4192*o. Let r(p) = -8*p. Give r(a(s)).\nAnswer: -33536*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6283?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3618)\/8*(34\/(-6) + 3). Let k = -540 + u. Suppose 6*q - 12*q + k = 0. What are the prime factors of q?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -27.971 and 168?\nAnswer: -4699.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 4*f + 8 + 15 = 0, u + 2*f = 1. Suppose u*n = 26 + 44. Let d(l) = -5*l - 7. Let w(s) = -2*s - 3. Let v be (-8)\/(-12) - 40\/6. Give n*w(h) + v*d(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 6, -0.09, 0.04, 2\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 145931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 + 3306?\nAnswer: 3305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -34 (base 13) in base 14?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 at least as big as 643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 406353?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 61\/4 of a hour?\nAnswer: 915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*d*h**3 - d - 344916*h**3 + 620573*h**2 wrt h.\nAnswer: 18*d - 2069496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 + -4. Let m = f - -13. Suppose m*g = 4*s, -29 = -5*g - 2*s - 1. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*k - 3. Let a = k - 0. Suppose -l - 6 = -a*b, 2*b + 8 = 2*l - 4. Solve 0*h - q = h + 6, 5*q = 5*h - l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2125637 + -1331310. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1204 - -1204. Let p(g) = -3*g**2 - g + 17. Calculate p(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -441 + 1316 - 438 - 436 + 16*n. Let f(g) = 31*g + 2. What is 4*f(h) - 7*j(h)?\nAnswer: 12*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(17) + 2 + -2.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -105*b - 333. What are the prime factors of v(-11)?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 7 = -5*f + 4*f, 3*f - 4*p + 19 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lnklnlnnknnnkklklko. Give prob of picking 1 n, 2 k, and 1 o.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*-5*(-1 + sqrt(325) + 0)**2.\nAnswer: -6520 + 200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -p - 3*a - 7, -3*p + 2*a = 17. Let t(v) = 2*v + 30. Let q be t(-13). Put p, -2, q in descending order.\nAnswer: q, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*p**2 + 0*p**2 - 8*p**2 as k*p**2 + m*p + a and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11695*l + 11696*l + 10 = -d, 0 = -5*l + 36*d + 278 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1797 - 1804. Let v(t) be the third derivative of -t**5\/60 - t**4\/4 + 5*t**3\/6 - t**2. Determine v(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2809.9997398 + 2810. Round n to 5 decimal places.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b**2 + 0*b**2 - 3*b**2)*(-674 + 674 + 538*b**2) + (b + 0*b - 3*b)*(3*b**3 + 0*b**3 - 2*b**3).\nAnswer: -1078*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 333871 is divided by 166908?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -24162 - -1836689\/76. Let u = v + 15\/19. Which is smaller: 6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 170759 and 170758 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.042662 to 4 dps.\nAnswer: -0.0427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(18)\/sqrt(3) - sqrt(6))*-1)\/(-1*sqrt(2)*3)*1 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1430*j - 77475 - 1175 for j.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 + 0)\/(5\/5). Suppose -2*k - k + 12 = h. Suppose 5*z + k = 29. Let q(a) = a**2 - 3*a - 4. Calculate q(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) - (sqrt(475))**2*4) + sqrt(19))*-2 + sqrt(95)\/(-2*sqrt(5)*4).\nAnswer: -33*sqrt(19)\/8 + 3800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1347, -5414, -12189, -21672, -33863, -48762, -66369?\nAnswer: -86684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 - 11 - (-1 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f + 143 = 3*f. Suppose 11*i - f*i + 8 = -4*l, -2*i + 8 = -2*l. Solve -c = -i*c - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 - -6. Find the second derivative of -6*w + 15*w - 10*w**4 - l*w wrt w.\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/5, -0.0325, -20, -0.3 in decreasing order.\nAnswer: 3\/5, -0.0325, -0.3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 137\/18 and 133\/10110.\nAnswer: 30330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2*(-14)\/4 - 2. Suppose 0 = 7*x - f*x - 1318. Suppose 12*v + x - 2183 = 0. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, 249 in descending order.\nAnswer: 249, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 854807468 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**3 + 6*c**2 - 8*c. Give v(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11974 + -11975. Which is the closest to p?  (a) 35  (b) -10  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 1 - 14 = 0. Solve u*f + 1 = 3*a - 0, 4*f + 4*a = -20 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -59654 - -59611.9896. Let i = -10 + -32. Let h = i - a. What is h rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -3, -1, -5, 0, -4 in decreasing order.\nAnswer: 9, 0, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**2\/4 + 7*n\/2 - 15\/4.\nAnswer: (n - 1)*(n + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, -510733 in decreasing order.\nAnswer: 0, -5, -510733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38071 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1053)*2 - sqrt(1053))**2 + 0.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -25902, -4326 in descending order.\nAnswer: 2, -4326, -25902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4492 - 2693. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -13*i**4 - 2*i**3 + 105*i + 6872?\nAnswer: -52*i**3 - 6*i**2 + 105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 132 is divided by 91.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -36 + 54. Suppose -w = t - 62. What is the lowest common multiple of w and 48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - a + 11401 = 2*a, -4*a - 9108 = 4*l. Let o = l + 7818. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-36)\/84)\/(36\/(-14)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*a**4*d**3 - 7275*a**4*d - 27698*d**3 wrt a?\nAnswer: 12*a**3*d**3 - 29100*a**3*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -1976.\nAnswer: 5\/1976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -52d (base 15) to base 7\nAnswer: -3256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, -4, 1, 5, -2 in decreasing order.\nAnswer: 19, 5, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**2\/5 + 146408*b\/5 - 51827604.\nAnswer: -4*(b - 34737)*(b - 1865)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00006548 to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -8*m - 5. Let k = -24 + 37. Suppose x + k = 15. Let g(h) = -7*h - 4. Calculate x*d(v) - 3*g(v).\nAnswer: 5*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 280 + -4202\/15. Let q = -1.56 + 1.96. What is the closest to -0.1 in q, -2\/11, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -13*i**3 - 11*i**2 + 7*i - 4. Let j(h) = -7*h**3 - 6*h**2 + 4*h - 2. Let m = 277 + -273. Give m*d(n) - 7*j(n).\nAnswer: -3*n**3 - 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zssz when four letters picked without replacement from szszszzzzzszzzsszsd?\nAnswer: 385\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -670 - -675.95. Let y = -6.05 + z. Is y greater than 714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(-220*46\/552)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**2 + 4*x + 13. Let w be u(-2). Let y be (95\/40 - 2)\/(w - -2). What is the nearest to 0 in y, 4\/5, -3, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5310704.\nAnswer: 2, 7, 47417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8422 + -631648\/75. What is the third biggest value in -0.2, w, 1, -21?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 484585 - 484584.699781. Let v = 0.1102242 - x. Let k = 0.19 + v. Round k to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 244*h = 240*h + 3524. What are the prime factors of h?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 + (-12)\/4 + -432 + -2. Is -432 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**4 - 4*o**3 - 4*o**2 + 1. Suppose -4 = -f - 3. Let l(y) = -y**3 - y**2 + 1. Let b(k) = f*n(k) - 4*l(k). What is the derivative of b(g) wrt g?\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 488 + -229. Let r = m + -207. Which is the second biggest value?  (a) 1  (b) r  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*c**2*i**2 + c**2*i*z - 8*c**2*w + 2*c**2*z - 3*c*i**2*w - c*i**2*z + 5*c - 33*i**2*w*z - i**2*w wrt c.\nAnswer: -6*i**2 + 2*i*z - 16*w + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -658026*z**3 + z + 658023*z**3 + 1 + z. Let j(b) = -16*b**3 + 11*b + 6. What is -2*j(m) + 11*r(m)?\nAnswer: -m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrrgorgrmggrgmorq. What is prob of picking 1 q and 1 r?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8, -14, -26, -44, -68, -98?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k**4 + 2*k**4 + 0*k**4 + 38*k**4 - 717*k**4 + 22*k**4 + (0*k**3 - 2*k**3 + 3*k**3)*(k + 2*k - 2*k).\nAnswer: -655*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 13\/(-6*-6*13\/468)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g + s - 799, -6*s + s - 5 = 0. Let z = -106 + 147. Let o = g - z. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 + 110101001?\nAnswer: 110101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 16 = 0, -h + 41 = p - 163. What is the greatest common divisor of 280 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 2*f + 3261. Let i(b) = b**2. Determine i(w(y)).\nAnswer: 4*y**2 + 13044*y + 10634121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -6416 - -12bb?\nAnswer: -5117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1974, -533, -5, 2.\nAnswer: -533, -5, 2, 1974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 20628300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 148360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 11713269 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**3 - 7*x**2 - 8*x - 4. Let h be f(-6). Let g(s) = s - 6. Calculate the remainder when 2 + 3 + -3 + 4 is divided by g(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-12)\/24)\/((-1)\/10). Let m be (c + -4)*(-1 + 1). List the prime factors of (0 - (-2 - m)) + 16.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-7))\/(6 - (-17)\/((-1666)\/378)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -67*a**2 + a + 88. Let v(m) = -6*m**2 + 2. Give q(j) - 13*v(j).\nAnswer: 11*j**2 + j + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1917, -6716, -14725, -25944?\nAnswer: -40373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07955027 minus 47465.22?\nAnswer: -47465.14044973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o + 3. Let t be k(-6). Let u(r) = -r + 4. Let d be u(4). Suppose d*h + h - 4 = 0. Solve 2*b = -h*z - 6, -z + b - t = 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**2 - l + 6. Give f(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 3*o + 16 = -104, -g + 108 = -3*o. Solve -g = -20*x + x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 7 - (5 + -3 + 0). Suppose -3*y - 326 = -i*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 115 and 7.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4 + 6)\/((-2)\/(-9)). Let q = -4 + z. What are the prime factors of (-9)\/(-1) + (3 - q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 779\/3855 + -8\/3855. Let i be 9\/6*(-4)\/(-3). Put 5, i, r in decreasing order.\nAnswer: 5, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4507124.\nAnswer: 2, 1126781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 32109 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**11*s*s**5)\/((s**(-2\/9)*s)\/(s**(-12)*s)) assuming s is positive.\nAnswer: s**(47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = -5*v + 39180, 4*v - 30803 = -2*i + 537. List the prime factors of v.\nAnswer: 2, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - 23)\/((-56)\/(-36)*15522\/(-1393))?\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (511\/(-42) - -11)\/(112\/64).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 10 = -i + 2*j, -2 = -j. Suppose -6*n + i = -518. Suppose 3*k - 140 = -3*t + n, -4*t + 308 = 5*k. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -74 + 78. What is the smallest common multiple of j and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (39\/(-52))\/(158\/12640)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 11*j = -42. Suppose -x - 1 + 3 = 0. Let t(l) = -l**3 - 5*l**2 - 6*l - 4. Let d be t(-4). Sort j, x, d in increasing order.\nAnswer: j, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 859*c*l + 12286*c + 106764*l + 496 wrt c?\nAnswer: 859*l + 12286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 111 - 246 = 5*h, 3*y + 2*h = 130. Let v be 2\/(-5) + (-8106)\/(-15). What is the greatest common divisor of v and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -5*o + 37. Let y = -20 + o. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lzlzzlepzzpzele. Give prob of sequence eze.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1707, 1682, 1631, 1554, 1451?\nAnswer: 1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 - 93\nAnswer: -92.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(((sqrt(7) - sqrt(567)) + sqrt(7))*-5 + sqrt(7) - (sqrt(63)\/sqrt(9) + -4 - sqrt(7))))**2 + 0)*-1.\nAnswer: -81792 - 2592*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 78206 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -22 - (57 + -32 + -53)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve s + 32*n - 75*n + 13 = -57*n, -5*n - 56 = -5*s + 29 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*-2*sqrt(242))**2 - sqrt(242)) + -4.\nAnswer: -11*sqrt(2) + 15484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 7*p - 43. Is g(38) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -432*j**2*s**4 + 10*j**2*s - 2*j**2 + 4*j + 13999*s**4 + s - 3141 wrt s.\nAnswer: -5184*j**2*s**2 + 167988*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -411 - -549 - (-2 - (0 - 14))?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a - 8 + 0 = 0, 3*v - 54 = 7*v + 5*a for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 2*p - 5*p + 9, p + 14 = 4*v. Solve -4*c - v*b = 13, 2*c - 4*b = 4*c + 14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -803383 by -1.\nAnswer: 803383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -611*s + 610*s = -4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -4*g + 5. Determine o(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3386*f**4 - 5855*f**2.\nAnswer: 81264*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -11*y**2 - 26*y - 69. Let l(i) = 5*i**2 + 2*i - 2. Let x(c) = -2*l(c) - m(c). Calculate x(-17).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.1617, -1.8, -0.4, -0.2?\nAnswer: 0.1617","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 386040 is divided by 2821.\nAnswer: 2384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -79716 by -26.\nAnswer: 3066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -f + 6. Suppose u + 12 = 5*g - 0*g, -f*u = 3*g + 4. List the prime factors of 4\/8 - 9\/u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -31*u**4 - 266*u**3 + 57*u**2 - 328?\nAnswer: -744*u - 1596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.6 - 0.6. Which is the second smallest value?  (a) -3  (b) -2  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -2586*j + 9700. Calculate h(3).\nAnswer: 1942","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 15*m = 18*m + 187191, -m - 311997 = -5*p. What is p rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 9) + (-32 - -40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 4  (b) 21  (c) -954\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 6 = -0*i. Let r(w) = w + 1. Let n be r(7). Let v = n - i. Solve 0 = -v*o + 5*m - 19, 2*o - 9*m = -5*m - 14 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2974926.\nAnswer: 2, 3, 495821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 10:07 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(2 + sqrt(11) + 0))**2.\nAnswer: 4*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4.3 * 2828.\nAnswer: 12160.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*w + 1761 = 201. Suppose -407 = -141*a + w*a. Solve 0 = -9*c + a*c - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 143, -376, -1247, -2470?\nAnswer: -4045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*i**3 + 0*i**3 - i**3 + 0*i - 2*i**3 + 0*i + (4*i + 3*i - 5*i)*(-5 - 2*i**2 + 5) + 94*i**3 - 6531*i + 6531*i.\nAnswer: 85*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, y: 4, i: 3, p: 4, w: 1}. What is prob of sequence py?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5696)\/3990 + ((-12)\/(-5))\/(-4). Let d = i + -31\/57. Which is the closest to -2?  (a) 1  (b) d  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13 and 863668.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2502 divided by -3\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3086.\nAnswer: 2, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 13*q**2 - 4. Let b(f) = 1 + 3*f - 4*f**2 - 3*f. Suppose 0 = 9*u - 60*u - 5*u - 112. Calculate u*k(d) - 7*b(d).\nAnswer: 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 91 + -28?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1204500 is divided by 5243.\nAnswer: 3853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 101c5373a + 2?\nAnswer: 101c5373c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0010311371 to 6 decimal places.\nAnswer: 0.001031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 5*j = -10, -3*j + 43 - 28 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3625 and 250?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 37741, 75479, 113217, 150955?\n\"Answer: 37738*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 29603 - 4*(-1 + (-14)\/(-8)). What is w rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3a + 18?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 164802947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pgkp when four letters picked without replacement from {p: 7, k: 1, g: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 216, 877, 1982, 3531?\nAnswer: 5524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(0 + sqrt(252))**2*-2.\nAnswer: -3024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -2*c. Let u(x) = -x**2 + 8*x - 5. Let a be -7*(-2 + (-1 - -2)). Let w be u(a). Let d(b) = 3 + b - 1 - w. Calculate d(z(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 689 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 15945 in -2, -1, 0.83?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 + 13 - 5*v)*(-16 - 3*v + 16).\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8855.1 - 8855. What is the closest to t in 0.5, -25, 0.4, -1.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**3 + c**2 - 4*c + 1. Let f(n) = n**3 + 4*n**2 - 1. Determine f(z) + 2*r(z).\nAnswer: -z**3 + 6*z**2 - 8*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 2*j**3 + 0*j**3 + 7 + 0*j**3 + 8*j - 3*j**3 - 5*j**2. What is f(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v = 3*p - 28, -3*v + 161*p - 164*p + 24 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54 = 3*w + 1494. Let m = -333 - w. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u**4 - 5*u**4 + 2*u**4)*(-82 + 1506 + 10) + (-u**2 + 6*u**2 - 3*u**2)*(u**2 + 2*u**2 - u**2).\nAnswer: -1430*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 600 = -3*t, -3*n - 4*t + 538 = -1327. What is the greatest common divisor of n and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eemeeuubcmus. What is prob of sequence mbu?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 373 is divided by 154.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7507\/10 + 760. Calculate the common denominator of -50\/271 and t.\nAnswer: 2710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 21\/49462255 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 2*g - 4*g + 68, 5*v - 5*g - 55 = 0. Suppose o + v = 4*o. Suppose 4*w - 2*z = 3*z + 160, 4*z - 241 = -o*w. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 175.70007 months?\nAnswer: 1.46416725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3020590.29 and -0.0312715.\nAnswer: -3020590.3212715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 43206939?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 628 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 13367, 26455, 39133, 51197, 62443, 72667?\n\"Answer: -34*d**3 - d**2 + 13329*d + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -656 divided by 37?\nAnswer: -656\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(156)*1)\/sqrt(12) + (sqrt(78) - sqrt(78)*2)\/sqrt(6))*6)**2 - ((1*sqrt(1872) + 5 + sqrt(1872) + sqrt(1872))**2 + 0).\nAnswer: -16873 - 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11 + 13. What are the prime factors of 12\/h - (0 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 156 or 160?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 2, 0.10695986, 0 in ascending order.\nAnswer: 0, 0.10695986, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2200\/440*9\/(-450)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(704) + sqrt(44) - 2*sqrt(1100))\/(((sqrt(1792) - (sqrt(1792)*-1 + sqrt(1792) + sqrt(1792))) + sqrt(1792))\/(sqrt(7) - 2*sqrt(343))) + 2)**2.\nAnswer: 169*sqrt(11)\/2 + 314427\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 3*a + 4*a = -1, -4*x - a - 1 = 0. Sort x, -1, -6 in ascending order.\nAnswer: -6, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 125590763 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**2 + q + 12. Let b be a(0). Let s = -46 + 154. Calculate the greatest common divisor of s and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3511453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*p - 78 = -132 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.08?  (a) 0.1  (b) -7  (c) 2.37  (d) -2\/15  (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -779*u + 777*u = -v + 19 + 21, 5 = 5*u + 95 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1951 != -24\/787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z + 2*k + 0 = 1, 0 = -5*z - 3*k + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 206*x - 221*x - 60 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 105913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**2 + 81*g + 448. Calculate l(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k - 10*k = -16. Suppose 3*g = b + 191, 0*g + k*b = g - 49. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - b + 5*b = -10258, -5*x - 17095 = 5*b. Let h be 61\/4*x\/(-234). Let w = h + -2868\/13. Find the common denominator of -61\/4 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19549\/9100 - 4\/2275. Let q be 1\/(6 - (-852)\/(-147)). Let x = q + v. Which is smaller: 4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 7 + ((-20)\/4 - -4). Suppose 0*l + 12 = y*l. Determine o so that -2\/5*o**l - 4\/5*o**3 + 0 - 2\/5*o**4 + 0*o = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 820 - 585. Let s = o + -234.9999627. What is s rounded to 6 dps?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*d - 209 + 209 to the form h + f*d and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4618 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 56411 - 1?\nAnswer: 56410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/60018 and -39\/11432.\nAnswer: 240072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 88*k**2 + 2*k + 7. Let r(p) = -87*p**2 - p - 7. Give -2*r(a) - 3*x(a).\nAnswer: -90*a**2 - 4*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 34\/5 of a microgram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 89 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -145*z + 144*z + 3*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -153 + 155. Find the second derivative of -2*g**5 + 3*g + 6*g**2 + 5*g**c - g**4 - 11*g**2 - 9 wrt g.\nAnswer: -40*g**3 - 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 38672*n**3 - 49*n**2 + 736.\nAnswer: 232032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 262423, 524765, 787019, 1049185?\n\"Answer: -44*a**2 + 262474*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * 41262923.\nAnswer: -16505169.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t - 6*t + t)*(5 + 0 + 37*t - 6)*(-2 + 2 + 1).\nAnswer: -111*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 16519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r + 1 + 2, 0 = 4*b - 5*r - 15. Suppose b*c = -4*c + 20. Let v = 0.2 + -2.2. What is the third smallest value in c, -3, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -159*g + 238*g + 669*g + 330*g + 2 + 876*g.\nAnswer: 1954*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -19627, -19625, -19617, -19603, -19583?\n\"Answer: 3*m**2 - 7*m - 19623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-72)\/(-2) - (1 + 0). Suppose 27*h + 8 = 26*h. Let y = n + h. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 5*j = 122, -j + 199 = 2*l - 0*j. Suppose 77*f - 4833 = -906. What is the remainder when l is divided by f?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 7*l + 3*l + 5*l + 3 + l - 3 + l - 2*l + 0*l + 4*l + 3*l - 5*l + (-1 + 2 - 2)*(-2*l + 0 + 0) - 3*l + 3*l - l as x + k*l and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**2 - 8*l - 1. Let k(r) = 728*r**2 - 733*r - 1. Let y(z) = -2*k(z) + 2*w(z). What is the second derivative of y(s) wrt s?\nAnswer: -2908","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**3 - 3*b**2 - 2. Let j be m(2). Let f = j + 14. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30023203 (base 4) in base 9?\nAnswer: -75384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3369, 3345, 3327, 3315, 3309?\n\"Answer: 3*m**2 - 33*m + 3399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6802.2 - 6802. Which is the third smallest value?  (a) -14  (b) -1  (c) n  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6222394912.\nAnswer: 2, 194449841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9547639 = -194*w + 491667. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*a - 3*a = -5*q - 3, 4*a = -2*q - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 + 1 + -1)*(-3 - 495\/(-150))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-15)\/20 - (-2206)\/8. Let f be (-4)\/(-22) - (-775)\/j. Solve -f*a = -0*a - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 2*p. Suppose i = -p*i - 4. Let g(l) be the first derivative of l**3\/3 + 3*l**2 + 3*l + 9. What is g(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**2 + 121*z + 3630. Let u be h(-55). Solve -k + p + 0 - 2 = u, 0 = 5*p - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 106 = -481. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1372867241 to the nearest integer?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-148)\/2775*(-13)\/(-1976)*57.\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3060240 and 512.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the first derivative of -6*p - 2 - 2\/5*p**2 + 1\/15*p**3 + 1\/30*p**4. Let s(r) be the first derivative of y(r). Factor s(o).\nAnswer: 2*(o - 1)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2 + 32)*(-1)\/(-2). What is the highest common factor of r and 1088?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/5?  (a) 4  (b) 0.1  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.34 - -148073.\nAnswer: 148072.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:50 AM and 5:13 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 4*h - 4. Suppose -4*p = -i + 21, -i = 5*p - h*i + 28. Put p, -1, 3 in decreasing order.\nAnswer: 3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 15312, 16214, 17100, 17964, 18800?\n\"Answer: -u**3 - 2*u**2 + 915*u + 14400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (198\/(-12))\/((-6)\/8). Let x be 1\/(-3) + w\/30. Let o = 0.1327 + -0.4327. Which is the nearest to 0.1?  (a) o  (b) 0.1  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 45\/(2205\/(-14))*(-210)\/(-5)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i + 1. Let a(c) = c**3 + 5*c**2 + 12*c + 9. Suppose -20 = -12*p + 8*p. Let x(g) = p*s(g) - a(g). What is x(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 14\/15 and -3\/260.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.96 - 0.04. Suppose 4*h + 3*j + 0*j = -135, 0 = -3*h - 3*j - 105. Let i be 4\/(-22) - h\/44. Which is the closest to y?  (a) i  (b) -0.1  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from qbeeqees.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 126 divided by -2.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**2 + d + 22. Let r be x(5). Suppose -r*v = -3*v + 14. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.77598 take away 26506?\nAnswer: -26500.22402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 74\/9063 and 38\/15.\nAnswer: 45315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -m - m - m + 266*m**3 - 267*m**3 - 317 + 2*m - 3*m**2 to the form k*m**2 + o*m**3 + g + u*m and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3407710.\nAnswer: 2, 5, 433, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**2 - 13*r - 79. Determine n(8).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a centimeter in micrometers?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-8))\/(738\/(-123)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -756 + 1894. Calculate the remainder when g is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -235605 + 299*w**2 + 117803 - 287*w**2 + 117802.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (116 - 3*j**3 + 657 + 191)*(4*j + j - 4*j) in the form d*j + o*j**4 + w*j**2 + l + x*j**3 and give d.\nAnswer: 964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 145*a**6 - 19*a**2.\nAnswer: 17400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 34.4 + 46.6. Let z = k - 84. What is the closest to 2 in 4, z, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -93*3\/((-15)\/35) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -165 + 236. Let l = -41 + k. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 61 or 499\/8?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**3 + 9*o**2 - 8*o + 4. Let a be (4 - 5)\/(3\/(-24)). Calculate the remainder when 6 is divided by m(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/(-8) - (-15)\/12. Let y = 1 - p. Suppose -3*c + 5*o - o = y, -3*c = -o. Put -1, 4, c in ascending order.\nAnswer: -1, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 212.6610772 and 26?\nAnswer: 186.6610772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**3)**(5\/6))**(1\/19) assuming y is positive.\nAnswer: y**(5\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - 14 - (-11 + -8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-6*(sqrt(64) + 2*sqrt(64) + sqrt(64)) + sqrt(64) - (sqrt(64) - (sqrt(64) - (sqrt(64)*-2*-6 + sqrt(64) - sqrt(64)))))\/(-6*6*sqrt(128)).\nAnswer: -35*sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*f**2 - 104*f**2 + 72*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-6))\/((-24)\/180).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide 1569205764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m - 3. Let y(k) = 2*k - 4. Let s(u) = 4*l(u) - 3*y(u). Let i(v) = 9*v**2. Calculate s(i(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*i**3*u**3 + 256*i**3 - 3*i**2*u + 5*u**3 - 35*u**2 wrt u?\nAnswer: 30*i**3*u + 30*u - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 342906.2ml?\nAnswer: 342.9062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the first derivative of 10*m**7\/7 + 2*m**3 + 6. Find the third derivative of k(n) wrt n.\nAnswer: 1200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-198)\/(-42) + -3 + (-1 - 1). Let v = 9.4 - 8.8. Sort v, s, -3, -0.3 in increasing order.\nAnswer: -3, -0.3, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(6*(sqrt(1216) + 3 - sqrt(1216)) + -2 + 4*sqrt(1216))**2 + 1.\nAnswer: -98559 - 5120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/17, -1, -4, 1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes before 8:34 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**2 - f + 27. Is s(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 179 a factor of 240218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*-5*sqrt(152)*1)\/((sqrt(32) + sqrt(64)\/sqrt(2)*-3)\/sqrt(4)).\nAnswer: -25*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 13 + -20. Let y = o + 7. Suppose -2*z - 3*l = -598, y*z = z - 3*l - 281. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -33708 (base 9) to base 15.\nAnswer: -69b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -5 - (((-288)\/30)\/1 - -4). Which is the nearest to 0?  (a) -5  (b) -2\/5  (c) w  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 2 + 7)*(-2*k**3 + 46 + 27*k - 46 + (-k**2 + 2*k**3 + k**2)*(8 - 4 + 8) - k + k - 2*k**3) as c + w*k**2 + h*k + g*k**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 46*y + 79 - 79 - 2*y to the form i*y + b and give i.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cdi when three letters picked without replacement from {k: 7, i: 3, c: 1, r: 4, d: 3}.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 16 + 16 - 48 + 17 + p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 306 = -2*u, 2*f - f - 3*u = -102. Let v = -3 - f. What is the highest common divisor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -3*j**2 - 11*j + 21. Determine z(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**6\/(x*x*x**3)*(x\/(x\/(x*x**(-8))))\/x*x*x*x**(-3\/7) assuming x is positive.\nAnswer: x**(-38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 46 - -152. Suppose 2*t - u = 624. Does 33 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 34  (b) -2  (c) 2  (d) 71  (e) -0.1  (f) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**3 + 8*r**2 + 128*r + 1. Give j(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 20 by -3.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -211 - -109. Is -103 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes after 4:07 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 4*b - 0*u + 5, 0 = 3*b + 5*u - 25. Solve -5*j - 1 + 6 = b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 4230*z - 452648. What is x(107)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 19 = 3*k, 0 = k + 5*u - 3. Let n(r) = -3 + 3*r - r + k*r. What is the remainder when n(7) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 5 - 0. Let g(t) = 2*t**3 + 3*t**2 - t + 2. Let p(r) = r**3 + r**2 - r + 1. Calculate c*g(k) - p(k).\nAnswer: k**3 + 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1491, 1489, 1487, 1485?\n\"Answer: -2*g + 1493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/((-75)\/20))\/(-2).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/(-5) + 0)*-25. What is the biggest value in 0.2, -1\/3, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 3, j: 11}. What is prob of picking 1 j and 3 l?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 0 - ((3 - 5) + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from obtmwbwv. What is prob of sequence vto?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1786273013 to the nearest integer?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/4, -21, 70, -27, -0.5?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -193 - -110. Let j = 30 + r. Let d = j + 52.9959. What is d rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -24155*z**4 - z**3 - 39*z**2 - 67*z wrt z?\nAnswer: -579720*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - 80 = -16*s. Factor -49*i**5 + 4*i - 12*i**2 + 93*i**5 - 6*i**4 + 13*i**3 + 0*i**2 - 43*i**s.\nAnswer: i*(i - 2)**2*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -44 in 2\/49, -3, 2, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 not equal to 136.472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 102423 - -4214?\nAnswer: 112142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1191 - 1043.6. Let r = h + -214. Let w = r + 31. Round w to zero decimal places.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 14\/3?  (a) -2  (b) 5\/9  (c) -4  (d) 2\/3  (e) -1783\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 933 at most 931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 144 and 2697?\nAnswer: 129456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times -0.04\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the third derivative of 0 + 2\/3*c**3 - 7\/24*c**4 - 2*c**2 + 0*c. Does 15 divide h(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in i**2 + 135521 - 131635 + i**2.\nAnswer: 2*i**2 + 3886","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 64449, 257884, 580281, 1031640, 1611961?\n\"Answer: 64481*a**2 - 8*a - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + -14 - (14 - 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f\/(((f*f\/(f**(1\/11)\/f))\/f)\/f))\/f**3*f*f\/f**(3\/5)*f*f*f\/(f\/(f*f*f*f\/(f*(f*f**2)\/f))) assuming f is positive.\nAnswer: f**(137\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 + -9620.\nAnswer: -9619.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 != 353\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 256 is divided by 68.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 5*q = 5, -h + 27*q = 22*q + 7. Solve -h*r = 6*r + 54 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2580625.8 rounded to the nearest one thousand?\nAnswer: 2581000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 71 + 121. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7191373 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*b**3 + 1081*b**2 + b - 1235140 wrt b?\nAnswer: -9*b**2 + 2162*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 260067.\nAnswer: 3, 86689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -53*p**3*s + p**3 - 4*p**2*s - 77917*p**2 + 22*p*s - p - 2*s with respect to s.\nAnswer: -53*p**3 - 4*p**2 + 22*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, w: 14, y: 2}. Give prob of picking 2 y and 1 o.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {w: 1, a: 4, p: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in fourty-five quarters of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.7354264 decades?\nAnswer: 0.07354264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 0*m = -9. Suppose 1 = 5*v - 19, 2*z - 26 = -4*v. Suppose z - 47 = -m*w. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6697859827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-712)\/4984)\/(5\/(-126))*5*-2?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum -39665723.4 and -0.3.\nAnswer: -39665723.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4608*j + 14759 wrt j.\nAnswer: 4608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9830833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -3688, -3707, -3746, -3811, -3908?\n\"Answer: -r**3 - 4*r**2 - 3683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 2203 (base 4) to base 9\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, -7894, 3, 4.\nAnswer: -7894, -4, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 16\/6 + (-4)\/(-12). Differentiate -4 + 2*m**2 - m**2 - 3*m**2 + f with respect to m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93195.\nAnswer: 3, 5, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 42 by 55.\nAnswer: 42\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20692042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -587*f**3 + 13*f**2 + 10*f - 2. Give a(-1).\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1996 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iijiji. Give prob of picking 1 j and 1 i.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -b + 15c47?\nAnswer: 15c3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**3 - 42*p**2 - 19*p - 220. Give m(43).\nAnswer: 812","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 347399651 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 459642698 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 25 - 26*b - 25. Let u(j) = -13*j - 4. Let y(z) = -48*z - 15. Let v(a) = 15*u(a) - 4*y(a). Calculate v(w(c)).\nAnswer: 78*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -268 = 2*v + 86. What are the prime factors of 6\/(-3)*v\/6?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -14 - -2.5584691.\nAnswer: -11.4415309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r + 2*r + 0*r)*(2 - 6 + 1)*(-1 + 0 + 0)*(-2*r**3 + 4*r**3 + 0*r**3).\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put together 3.484 and -25044028.\nAnswer: -25044024.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 + 10*d**2 - d - 3. Let i be v(-10). Let o(g) = 4*g**2 + 4*g + 2. Let j be o(-2). Let p = j - i. Solve 0 = p*q + 9 + 6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -866910 - -866723.2617. Let r = w - -186.6. What is r rounded to 3 decimal places?\nAnswer: -0.138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -11*q. Let t = 2 + -4. Is 11 a factor of h(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = d + 10, 5*l = -2*d + 281. Suppose 7*o = 4*o + l. List the prime factors of o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the first derivative of -37*s**3\/3 - 7*s**2 - s + 29. Find the second derivative of p(f) wrt f.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ooog when four letters picked without replacement from ogoo?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 1173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.628801 rounded to two dps?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/(-2)*4\/(-1). Let c be (-10)\/(-25) - b\/5. Suppose 4*s - 12 - 24 = c. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(847)*-3 + -3 + sqrt(1008).\nAnswer: -21*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 392 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 122189 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: Divide 316471880 by -63294376.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 + -2 + 0 + -1. Let d(p) = p + 1. Let c(x) = 1. Let m be -15*(-4 - (-38)\/10)*1. What is j*c(h) + m*d(h)?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 455 a factor of 2902590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:16 PM and 6:02 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1828 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6.0316209 + 6.03. Round o to five decimal places.\nAnswer: -0.00162","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 191254 is divided by 650?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 k, and 1 z when three letters picked without replacement from {z: 8, g: 1, k: 10}.\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 4*v - 4*i - 17, 0 = 2*v + 5*i + 20. Solve -4*d + v - 8 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d**2 - 3*d**2 + 3*d**2)*(2*d + 1 - 1) - d**3 + 3*d**2 - 3*d**2 + (-2*d**2 + 2 - 2)*(-2*d + 0*d + 0*d) + d**3 + 3*d**2 - 3*d**2.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 60 + -38. Suppose 23*y - 3 = u*y. Solve 0 = 5*j - y - 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17952 divided by 1056\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u + 0*u - 3 - u)*(569*u**2 + 2 - 9 - 572*u**2).\nAnswer: -3*u**3 + 9*u**2 - 7*u + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1601 + -962. What is the remainder when t is divided by (54 - 24)\/(2 + 1\/(-2))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4616, 4592, 4552, 4496?\nAnswer: 4424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 40252.6 from 6.7126154.\nAnswer: -40245.8873846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 3*m - 6*m. Let o(y) = -14*y**3 + y**2 - 2*y + 1. Let q be o(1). Let c = -13 - q. Sort 2, m, c in decreasing order.\nAnswer: m, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((((sqrt(612) + sqrt(612) + -1 - sqrt(612)) + 1)*5)**2 - ((0 + sqrt(612) + sqrt(612))**2 + sqrt(612) + 2 + 4))*4.\nAnswer: -154152 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*s**2 - 7*s**2 - 25*s**2 to l + z*s**2 + c*s and give z.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.08 and -0.46?\nAnswer: -0.0368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -f**2 + 24*f**2 + 4*f**2 - 20*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 195298 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84 = 3*l + 12. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1234 - 1232. What is the smallest common multiple of 486 and d?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 385*w + 175*w = 340*w - 516*w - 21344 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1932 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 20479190 - 264.4792?\nAnswer: 20478925.5208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = -2*b + 6, -h + 7 = b. Suppose -h*k = -6 - 18. Suppose -5*i = 2*c - k*c + 76, -5*i + 36 = 4*c. What is the greatest common factor of c and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 100 and 460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3.15 - -66.45. Let j = 69.5999979 - v. What is j rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*w**2 + 0*w**2 - 10*w**2 + 5*w**2 in the form p*w + s + l*w**2 and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -115*-0.01\nAnswer: 1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*z**2 - 11*z**2 + 53*z**2 - 17*z**2.\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 3*p**2 - 3353*p + 98. Let h(o) = -3*o**2. Give f(h(j)).\nAnswer: 27*j**4 + 10059*j**2 + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 4*x - 1. What is the remainder when (-26)\/(-6) + (-1)\/x is divided by (-6 + (-6)\/(-3))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1543577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -880\/497 - -4\/71. Let j = 2 + h. Are j and -1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -399*y + 2*y**2 + 398*y - 3*y**2 - 1 + 2*y**3 to b*y + i + j*y**3 + o*y**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - 5. Let d = 14430499\/96705 - -4\/10745. Let y = -149 + d. What is the closest to -0.1 in y, 1\/8, m?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**2 - 69*m + 1363. Let z be i(16). Factor -1\/2*u**z + 0 + 3*u**2 - 8*u**5 - 12*u**4 - 1\/2*u.\nAnswer: -u*(u + 1)**2*(4*u - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 5*o**3 + o**2 - 6*o + 2. Let p = 15 - -18. Let c = p + -37. Let m(h) = -4*h**3 + 6*h - 3. Let r(u) = c*m(u) - 3*l(u). Give r(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -15 + 15. Suppose v = -3*a + 31 + 95. Let o = a + 71. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -389, -379, -347, -281, -169, 1?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + 2 + 7 + -1 + 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -1 - 3 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 + 0. Let o = 14.7262 + -2.7262. Is p equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23 (base 12) to base 11.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 5, b: 7}. Give prob of sequence mm.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 70342 - -1471?\nAnswer: 72033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1285, -1550, -1983, -2578, -3329, -4230, -5275, -6458?\n\"Answer: s**3 - 90*s**2 - 2*s - 1194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/2 of a millennium in years?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kyb when three letters picked without replacement from {y: 2, z: 1, b: 1, k: 1, q: 5}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the third derivative of -l**6\/40 + l**5\/5 + 21*l**4\/8 - 3*l**2 - 212. Suppose k(x) = 0. Calculate x.\nAnswer: -3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 599165 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -63757667*o**3 + 27742585*o wrt o.\nAnswer: -382546002*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 + 5. Let r(w) = 2*w**3 - 6*w**2 - 7*w - 4. Let p be r(x). Which is the third smallest value?  (a) 4  (b) p  (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.59 + 0.08. Let j = u + -0.86. Let f = -1.37000415 - j. Round f to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 612097*q - 340969?\nAnswer: 612097","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 237 divide 60435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5.2 - -5. Let h be 10\/(-40) + (-26)\/(-8). What is the nearest to 2 in h, t, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 57 + -67. Let i = -98.7 + 103.7. What is the nearest to 0 in z, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6442382 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 93580135283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -146, 3, 779, 5, 0 in ascending order.\nAnswer: -146, -4, 0, 3, 5, 779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 17*p**3 + 15 - 19*p**3 + 0*p**3 + 2*p**4 in the form a*p + r + s*p**4 + v*p**3 + k*p**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -69*d**2\/7 + 166398*d\/7 + 238887\/7.\nAnswer: -3*(d - 2413)*(23*d + 33)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 205524 by 9.\nAnswer: 22836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -4*u + 35, -x = 6*u - 3*u. Solve o - 5*t + x = 0, 2*o + 2*o - 4 = -2*t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 23, 367, 1427, 3605, 7303, 12923?\n\"Answer: 67*q**3 - 44*q**2 + 7*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + 629.93974586.\nAnswer: 634.93974586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41711667?\nAnswer: 3, 13903889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by 10.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -159*c**4 + 191*c**3*u**3 - 4*c**2*u**3 - 15*c**2 - 43*c*u**3 + 2*c wrt c?\nAnswer: -3816*c + 1146*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -6433412 times -9\nAnswer: 57900708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -26*b + 25*b. Suppose 6*t - 9*t = -b. Solve -2*f + 0 - 6 = -4*q, t*q + 5*f + 30 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**2 + 10*v - 5. Is 15 a factor of n(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63125?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1 - 40\/(-15) - 10207\/177\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 446.99 centuries in months?\nAnswer: 536388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h - 7. Let m = 251 + -383. Let x be ((-1)\/4)\/(3\/m). What is k(x)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000013963 rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 25514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 5*t - 4. Sort t, 1, 0 in ascending order.\nAnswer: 0, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(85)\/(sqrt(5)*2 - sqrt(5)) - (sqrt(1377) + -3)**2) + (sqrt(2057) + 1 + -1)**2*5 + -2.\nAnswer: 55*sqrt(17) + 8897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9676101, -19352203, -29028305, -38704407?\nAnswer: -48380509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 22878431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1438 divided by -232686\nAnswer: 719\/116343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-3)\/(-36))\/(3\/(-2811)). Let f = u - -78. Which is the nearest to -2?  (a) 1  (b) 5  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.2 + -1.4. Which is the nearest to -2\/7?  (a) u  (b) 3  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -120973\/12 + 10090. Let g = k + -35\/4. Find the common denominator of g and -27\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20809 is divided by 215?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 750*c**3 + 743*c**3 - 2 + 3 + 2155*c**3.\nAnswer: 3648*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -30\/37  (b) 1\/5  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-30)\/45)\/((-98)\/42) + 9\/(-7). Which is smaller: 10\/243 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -60*u**3 + 108*u**2 - 15*u - 94. What is m(1)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 61 divided by 2646?\nAnswer: 61\/2646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -2*i + 15. Let w(q) = q - 7. Let r(f) = 6*s(f) + 13*w(f). Let y be r(-5). Let j = 1 - y. What is the lowest common multiple of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - 44 - (1165 + -1245).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 1, -18, 42869 in increasing order.\nAnswer: -18, 0, 1, 42869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 9?  (a) 0.15  (b) -81\/170  (c) 0.5  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(2057) - ((sqrt(2057)*-2 + -3 - sqrt(2057)) + sqrt(2057))**2 - sqrt(2057)) + 5*(2 + sqrt(1088))**2.\nAnswer: -2779 + 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zw when two letters picked without replacement from wczkq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are 6044 and 6043 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 12 = 5*m. Let w = 1282\/3 + -427. What is the nearest to m in -0.1, w, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 41544.0005095 - -0.87\nAnswer: 41544.8705095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 11:08 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-9765)\/(-28)*(-124)\/(-93). Are 473 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 78 - 4*a**2 + 0*a**2 + 3*a**2 in the form q*a + l*a**2 + w and give w.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (12\/(-8))\/(2\/(-164)). Is 122 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -29113116\nAnswer: -1\/14556558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z + 4. Suppose -4*l + 16 = 0, -3*n + 4*l + 8 = 3*l. Suppose -4*u - 8 = -3*p + p, n*p + 11 = -u. Determine g(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {u: 3, n: 3, k: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 570219 + -25658332\/45. Let l = -167\/5 + f. Factor -l*d - 4\/9*d**2 + 8\/9.\nAnswer: -4*(d - 1)*(d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17234?\nAnswer: 2, 7, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 11731862035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -2374460*y. Let g(j) = -9*j. Calculate g(x(d)).\nAnswer: 21370140*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1278 - 15579 = -681*f for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Round -353806890 to the nearest one hundred thousand.\nAnswer: -353800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/3174 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3 + -2 - (15 - -1). List the prime factors of (-2)\/(-10) + (-252)\/d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the second derivative of -d**6\/40 - d**4\/24 - d**2 + d. Let g(p) be the first derivative of l(p). Find the second derivative of g(h) wrt h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 250 * -8310.\nAnswer: -2077500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b**(-4)\/b)*b\/(((b*b**4*b*b)\/b)\/b))\/(b**9*b**(1\/3)))**(-30) assuming b is positive.\nAnswer: b**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 222.997 + 0.003. Let n = w - 220. Let k = 51 - 53. Which is the second biggest value?  (a) -1\/5  (b) 6\/7  (c) k  (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w + 16 - 52 = 4*b, b - 58*w = -59 - 9 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**2. Suppose -3 + 2 = -n. Let z(m) = -1 - 6*m + 2*m + n. Give z(w(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 434 and 992?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 324982 + -0.4.\nAnswer: 324981.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.2 + 0.3. Let h = 9227 + -9226.6. Which is the closest to -1\/4?  (a) q  (b) -0.3  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*b = -1926 - 306. Let l = 734\/3 + b. Is -2 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -359, -432, -503, -572, -639, -704?\n\"Answer: s**2 - 76*s - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 15\/(-120) - (-275)\/(-616) - (-116)\/154. Suppose 0 = -4*y + 4*z - 8, -4*y + 29 = 5*z - 8. Factor 0 + 0*h + 0*h**2 + 4\/11*h**4 + a*h**y.\nAnswer: 2*h**3*(2*h + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2, 18, 34, 50, 66, 82?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in one sixteenth of a second?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1366884 by -5.\nAnswer: -1366884\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s - 3*x + 6 = -x, 4*s = 2*x - 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 32462639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 + 41 + 100)*(-b**4 - 3 + 3).\nAnswer: -129*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1421199 and 351.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 11453 or 11448?\nAnswer: 11453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 690030160?\nAnswer: 2, 5, 107, 80611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (19\/((-475)\/(-10)))\/(5\/(-150))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2 + 2*r + 17. Let m be o(-7). Let f = m - -51. What is the tens digit of 4\/(((-8)\/(-20))\/(9\/f))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 65 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3925395 divided by 2.\nAnswer: -3925395\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 34668 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/9 and -131\/9102?\nAnswer: 27306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and -10941657.\nAnswer: 4376662.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 2*i - 9 = 0, 7*i - 2*i + 10 = 0. Let c be 1 + 1 + -1*(-3 + 1). Suppose -16 = -q*n + c*n. What is the least common multiple of n and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1425, 2789, 4153?\n\"Answer: 1364*p + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x**3 + 3*x**3 - 2*x**3)*(2437 + 2157 + 215) + 0*x**3 - 6*x**3 + 4*x**3.\nAnswer: 9616*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 4 = 0, 0 = -t + 5*t - 5*r - 28. Let z(v) = 17*v**2 - v**3 - 4*v**2 - v**2 - 11*v**2 + t*v + 1. What is z(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -490.2 + 423.2. Put 1\/3, u, 0.4, -0.2 in ascending order.\nAnswer: u, -0.2, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 - 3221031?\nAnswer: -3221030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**2 - 11*l + 13. Let y(n) = -n + 1. Let b(u) = x(u) - 3*y(u). Let v be b(10). Let k be (-37)\/(-7) - 2\/7. Solve -k*a = -v + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is r in 3520820714151064895488*r**4\/9 + 7041639345385999462400*r**3\/9 - 462870205545152*r**2 + 91277949*r - 6 = 0?\nAnswer: -2, 3\/15212992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100.2698109ns to weeks.\nAnswer: 0.00000000000016579003125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 2 y when three letters picked without replacement from {y: 4, z: 13, g: 3}.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11980 - -11976. Which is the closest to 0.863?  (a) -3  (b) -0.5  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4073037*o**3 + 7052797*o wrt o?\nAnswer: -24438222*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -4  (b) 12  (c) -1  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, -5, -3 in descending order.\nAnswer: 3, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 708 = -11*j. Find the first derivative of 127 - 36 + j*o**3 - 27 wrt o.\nAnswer: 177*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1397020 rounded to the nearest 10000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aja when three letters picked without replacement from {j: 3, f: 1, q: 1, o: 3, a: 2, h: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 3*i**3 - 17*i**2 + 72*i - 12. Let o be k(7). Calculate the highest common factor of 24 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c + 3*c + 5, 97 = 2*k - 3*c. Suppose -4*z + 19 = -k. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 - 1 - (9 - 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 - 4 + 3*p + 7*p + 5 as g + s*p and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g + 5. Let h be n(5). Let o(t) = -t**3 - 34*t**2 + 2*t + 55. Let a be o(-34). Let w(r) = -5*r - 65. Let i be w(a). Is i smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*x**2 - 546223686*x + 24863359595618883 = 0. What is x?\nAnswer: 91037281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -4*b + 73, 2*b + 0*b - 53 = 3*y. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2255 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + 90ba9ad?\nAnswer: 90ba9b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13091?\nAnswer: 13, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 714 less than 724?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9453 + 9453. Sort -14, -4, 1, 4, f in increasing order.\nAnswer: -14, -4, f, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3\/2*a**4 + 1953\/2*a**2 + 8181\/2*a + 75\/2*a**3 - 5103 = 0. What is a?\nAnswer: -9, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f + 37 = -4*s, -4*f + 15 = -4*s - 41 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 11 + 2696*c**2 + 27 + 33 - 71 as j + n*c + q*c**2 and give q.\nAnswer: 2696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 660 and 25044?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 77\/2 of a century in months?\nAnswer: 46200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 480 = 2*c - 82, c = -5*n + 305. Calculate the highest common factor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 493 + -493.771. Let b = -0.771337 - p. Round b to five decimal places.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -22 - 8*y + 4*y + 5*y as v*y + n and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/3  (b) -0.3  (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 426573.\nAnswer: 3, 7, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 64 = 65*g - 64*g, 220 = 3*g + 4*d. Solve 31*o + g = -87 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 180788 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4728*o - 4724*o + o**2 - 5*o**2.\nAnswer: -4*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.7540924 to three dps.\nAnswer: -3.754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (-10)\/(-4) + (-298)\/(-4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -674*h - 5*h**4 - 39*h**4 + 72*h**4 + 58*h**4 + 26*h**4 wrt h?\nAnswer: 1344*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*t + 8958 - t - t - 2*t.\nAnswer: -6*t + 8958","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1 - (-1 - -1))\/((-5)\/20). What is the units digit of -3 + 78 - (u + (5 - 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6\/1055 or -83132?\nAnswer: -83132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 2740.596 centuries?\nAnswer: 27405.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.96 + -0.04. Let o = 7 + u. Let p be -2 + 1 - (-50)\/46. Which is the second smallest value?  (a) o  (b) -2  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10\/193 - -5268\/4825. What is the common denominator of 27*(-23)\/10557 - 1523\/(-170) and s?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/26 - 44\/286. Suppose w*b = 2*b - 1134. Does 21 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**3 + o**2 + 32*o - 39. Is u(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0313*0.523.\nAnswer: 0.0163699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 1\/55566411?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {i: 3, b: 1, l: 5}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 5*y - 11. Let d be r(3). Solve -5*h + d + 6 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.0063 - 4.0127. Let k = -0.019 - i. What is the biggest value in 1\/10, 0.052, k, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49*f + 129*f + 87*f.\nAnswer: 167*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 4401791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*x = -17*x - 300. What is the remainder when 113 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 6*o**2 + 43*o + 178. List the prime factors of c(28).\nAnswer: 2, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**2 + 9. Let y be (1 + (-1)\/(-2))*(-24)\/9. Let x be d(y). Let l = 75 - x. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the first derivative of -3*y**2\/2 + 3*y + 2. Let b be f(2). Let n be 0\/(b + (-1)\/(-1)). Solve 35 = -5*w + 5*p, -3*w + n*p + 2*p - 19 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/5, 0.2, 0.4, -1.1, -1, -1\/6 in descending order.\nAnswer: 0.4, 0.2, -1\/6, -1\/5, -1, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -107*v + 171 = 1883 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 681, 2546, 5647, 9978, 15533, 22306, 30291?\nAnswer: 39482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a - 19. Determine n(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:42 PM and 2:05 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 17*g. Let l(h) = -22*h. Give l(u(n)).\nAnswer: -374*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = w - 13. Suppose 10*n = w*n - 10. Let v(y) = y**3 + 2*y**2 + 2*y + 6. Is v(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*m - 28. Solve -4*s - m = -s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -272 - 13360?\nAnswer: -13612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.675 + 8.485. Let y = w + -6.810000259. What is y rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3138*x**2 - 2878*x**2 - 3761*x**2 - 3649*x - 799*x**2 - 4766*x wrt x.\nAnswer: -21152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*f + 10 - 58. Let y(j) = -j**3 - 6*j**2 - 2*j + 2. What is y(f)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 132944 is divided by 72.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -132, -2, 4 in descending order.\nAnswer: 5, 4, -2, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -43, -458, -1223, -2338, -3803, -5618?\nAnswer: -7783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7984502.\nAnswer: 2, 3992251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f = 4*w + 18, 3*f - 5 = 9*w - 7*w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*i = -40*i - 48. What is the smallest common multiple of i and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*l - 0*l. Let i be l\/8 - (-171)\/(-36). Let z be (-6)\/5 + 0\/i. Which is the third smallest value?  (a) z  (b) -2  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8 and 1432?\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4\/(-3) - -1)*-3. Suppose 0 = 2*d - 8, 2*i + 7 + g = -2*d. Let a(w) = w**2 + 7*w + 8. Is a(i) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24, -29, 137, 125 in decreasing order.\nAnswer: 137, 125, 24, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8799 + 9895. List the prime factors of t.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 39 + -50. Let d(y) = -2*y**3 - 14*y**2 + 7*y - 33. What are the prime factors of d(q)?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 4*h - 208, -3*h + 129 - 21 = g. What is the smallest common multiple of 4 and g?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 74402 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(-8)*k**(3\/4))**(-4\/27)*k\/(k*k\/(k*k*k\/((k**(6\/5)\/k)\/k)*k))*k**0*k*k**(-5)\/(k\/(k*k*k\/k**(-1)*k*k)*k*k) assuming k is positive.\nAnswer: k**(503\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -165 + 292. List the prime factors of k.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r - 4 + 4)*(93*r**3 + 958*r - 57*r**3 - 38*r**3).\nAnswer: 2*r**4 - 958*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes before 8:29 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mxxxmxxjjxmmjmjc. Give prob of picking 1 m and 2 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + -4. Let g be ((-160)\/(-10) + -22)\/(-2). Sort w, 1, -1, g in decreasing order.\nAnswer: g, 1, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 + -24. Let x = 6 - m. Let n = x - 21.086. Round n to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -60*m**2*y**3 - 10*m*y**2 + m*y - 6*y**3 wrt m.\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d + 3. Let h(o) be the second derivative of o**4\/12 + 7*o**3\/3 - 62*o - 43. What is m(h(b))?\nAnswer: b**2 + 14*b + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 207040?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (2 + (23 - 3) + -22 + 17)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2044312 - -4?\nAnswer: 2044320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 6*a**2 + 5*a + 2. Let z(p) be the first derivative of 5*p**3\/3 + 2*p**2 + 2*p - 2. What is -6*t(r) + 7*z(r)?\nAnswer: -r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express v**3 - 4*v - v**2 + 1 - 5*v**2 - 15*v + 17*v + 2*v**3 as r + p*v + f*v**3 + y*v**2 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -105, -2012, 3, -2 in ascending order.\nAnswer: -2012, -105, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 - (4 - 1) - (-12 - (-2 - 10)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.12 + 0.11. Let h = 0.11 + k. Let y = 8.3 - 8. What is the third biggest value in y, h, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*h + 8 + 7. Sort 2, 4, -4, h.\nAnswer: -4, h, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2771 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6.324 + -0.624. What is v rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13858 is divided by 46.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = x + 3. Solve s - x = 4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -905\/7 - -129. Let x = -85.09 - -84. Let o = x - -0.09. Which is the third smallest value?  (a) o  (b) 2  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/13, -94, 0.5, -2\/45, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-60)\/8 + (-3)\/6. Let v be (2\/8)\/(86\/k - 0). Is 0 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 184121 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 2843 divide 340988488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -20, 8, 3, 7, -1.\nAnswer: -20, -1, 3, 4, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 9*d**2. Suppose 0*t = t. Let b(k) = k - k + t*k - 2*k. What is b(h(x))?\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**3\/11 - 88642*x**2\/11 + 177278*x\/11 - 8058.\nAnswer: 2*(x - 44319)*(x - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 128620.\nAnswer: 2, 5, 59, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 62 and 679179.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/15 + (5658\/(-90) - -44).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*x - x - 2*h - 65, -340 = 5*x - 5*h. Round x to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -3*(2 - 6\/2). Suppose -3*t = 0, h*l = 5*l - t - 14. Suppose -3*r = -l*r + 144. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*w + 2*w + w)*(1 + 4 - 4)*(-3 + 4 - 2)*(27*w - 224*w**2 - 27*w) to the form l*w**2 + c*w**3 + b + v*w and give c.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 22*m - 21*m. Are -9\/11 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 10}. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 95 - 81. Let s(i) = -i**3 + 2*i**2 + i - 1. Let b be s(-2). Do v and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 less than 11558268.551?\nAnswer: 11558268.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3261 + 1721 = 394*l + 6340 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -40*a**2 - 5*a - 1 + 8*a**4 - 7*a + 6*a**3 - 1 + 39*a**2 + 10*a to i*a + c*a**4 + b + j*a**2 + p*a**3 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pps when three letters picked without replacement from {v: 2, p: 3, c: 2, s: 5}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -7*x**2 - 2*x + 3. Let m(p) = -p**3 + 4*p**2 - 5*p + 104. Let q be m(6). Let n(d) = -8*d**2 - 3*d + 4. Calculate q*n(h) - 3*b(h).\nAnswer: 5*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.1 + -0.1. Let u be (2\/(-44))\/1*-2. Let a = u + -14\/33. Sort q, -4\/5, a in descending order.\nAnswer: q, a, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6229480094.6 - -1594\nAnswer: -6229478500.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2 - 9886*y + 19776.\nAnswer: -(y - 2)*(y + 9888)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the second derivative of s**2 + 55\/3*s**3 + 0 - 2*s. Let b be w(1). Calculate the highest common divisor of b and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 8\/5 or -2.113?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 2*p - 24 + 0 = 0, -3*p = b + 2. Suppose 0*t - b*t - 6 = -y, -4*y - 4*t = -24. Suppose -y = 3*n - 18. Solve -11 = 3*s + n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 177356?\nAnswer: 2, 101, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is g in g**2\/9 + 875*g\/9 - 3548\/3 = 0?\nAnswer: -887, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -274*h - 172*h - 12042 = 0 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -5*y + 16. Let b be g(-5). What is the greatest common factor of 287 and b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 24*x - 809. Calculate the remainder when t(44) is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -790312, -3161840, -7114584, -12648544, -19763720?\n\"Answer: -790608*z**2 + 296*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/15  (b) -0.2  (c) -0.5  (d) -2\/9  (e) 3\/761\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 72*j - 146*j + 86*j - 43. Let z be c(6). Suppose 0 = 2*o - 3*r - 47, 5*o - 83 = 2*r + z. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 178 is divided by 171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2527\/163 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 184 = -5*q + 5*h, 0 = -5*q - 3*h + 212. Let a be (-4)\/(-24)*3*q. Suppose -9*f = -a*f + 220. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 13 - 34 = 0. Let z(b) = -b**2 - 10*b - 17. Let a be z(p). Let u(g) = -g**3 + 9*g**2 + 2*g + 5. Is u(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z + 229*o = z - 33, -3*o + 50 - 6 = 4*z for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 6 + 0 - 11*q**3 + 10*q**3 - 2. Let d be b(0). Let w(h) = h + 3*h + d*h - 7*h. Let a(p) = -p - 1. Determine a(s) + 2*w(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1372496, -2744981, -4117456, -5489915, -6862352, -8234761, -9607136?\nAnswer: -10979471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iyiiyiiyiiiiiiyyyi. Give prob of picking 3 y and 1 i.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (172\/(-10))\/(5\/(-25)). Let t = l - 28. What is the remainder when t is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44\/(-66) - ((-10430)\/90)\/(2\/438) a multiple of 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the second derivative of 0*y**2 + 32*y + 0 + 0*y**4 - 1\/20*y**5 + 5\/2*y**3. What is the second derivative of z(x) wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 107 = -4*i - 120, 3*i + 9 = -4*f. What is the nearest to -9\/4 in 0, f, 4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/((-539)\/(-3267) + ((-1)\/2)\/((-506)\/(-92)))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = 2*a - 16, t + 3 = -3*a - 12. Let x(o) = 9*o**3 + 15*o**2 + 11*o. Let k(v) = 4*v**3 + 8*v**2 + 6*v. Determine t*x(z) - 11*k(z).\nAnswer: 10*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 19*h + 9*h - 5*h**2 - 19 + 3*h**3 - 36*h + 10*h as c*h**3 + m*h + p*h**2 + b and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 31?  (a) 2\/11  (b) 0  (c) 0.2  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -2*p + 80. Calculate the remainder when 24 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**2 + 16*a + 28. Calculate j(17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.145376 minutes to seconds.\nAnswer: 8.72256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 take away 133470?\nAnswer: -133469.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-78)\/52 - 18\/(-20))*(-20)\/48?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 13*s - 9. Let v be h(4). Let t = v + -31. Suppose 0 = -13*i + t*i + 165. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 17*f + 1. Suppose 3*y - 1 = -z, -4*z + 3*z - 1 = 2*y. Let m be y\/(2 + -4) - -2. Let r be p(m). Solve -5*c = 3 - r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 83142*y**2\/7 + 902684*y - 304\/7.\nAnswer: 2*(y + 76)*(41571*y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9525492 is divided by 236?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, -2, -32, 3, 869, 4, 2.\nAnswer: -32, -24, -2, 2, 3, 4, 869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 169\/(-39)*(-63)\/14*4174\/3 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -124*l**2 + 73*l**2 + 4 - 3 + 8*l + 3*l**2 - 8*l + (-4*l + 2*l + 0*l)*(l + 2*l - 4*l).\nAnswer: -46*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d + 2. Let h = -4 + 8. Let f be b(h). Let i be (1\/(-2) + f)*-2. Solve 0 = -i*a + 5 - 20 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 + -5. Let m(x) = x**3 - 2*x**2 - 2*x - 1. Let p be m(3). Let j(y) = -y**3 + 5 - 6*y + 6*y**2 + 3*y**2 - 3*y**p. Calculate j(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -a - a + 5*y, -5*a - 2*y - 22 = 0. Let p be (-1)\/(a - -3) + 2. Suppose -p*i = i - 172. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g + 15*g = -69 + 58 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 310.22 + -309.22. Let m = 0.3 - 1.3. Sort -3, l, m, -6.\nAnswer: -6, -3, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r + 3*r - 18. Solve j = 4*l + l + 9, -7 = r*l - j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 500585716?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.085387 rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 184414?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, x: 1, f: 4, h: 1, e: 2}. What is prob of sequence xffh?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8827 + 12852. Suppose -5*n + 240 = -j. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 330895949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*f - 6565 + 13106 - 6580.\nAnswer: -2*f - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -138*g - 35*g - 178 - 341 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -533 + 2136. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1900443906.\nAnswer: 2, 3, 17, 107, 58043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 57.53011268 + -57.53. Round b to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(((c*c\/c**(1\/24))\/c)\/c))\/(c*c**(-6\/5)))**(-1\/22) assuming c is positive.\nAnswer: c**(-149\/2640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 697 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = 14*r - 10*r + 19, 0 = -r - 1. What is the hundreds digit of (20\/u)\/(-4) + 172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 3*m**2 + 15028. Let a(t) = -5*t - 2. Give n(a(h)).\nAnswer: 75*h**2 + 60*h + 15040","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/9 at least -599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1244?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16*(-29)\/2784*(2 - -1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 2*x - 8 = 0. Suppose -u = -5*u + x*y + 14, 24 = 5*u + 4*y. Suppose u*s - 24 = 3*s. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 25954*a - 960302. Give x(37).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 - 4. Are 1\/2 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = -3*x. Suppose 3*d = -2*d - x*d. Suppose o + 13 - 46 = d. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -41890014 divided by -27\nAnswer: 1551482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -6*y + 33. Let l be a(6). Let d be (-40)\/340 - l\/((-51)\/899). Let z = 58 + d. Solve -z*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78696 is divided by 39157?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3052*t - 84 = 3010*t. What is the smallest common multiple of t and 534?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**2 + 11*v - 9. Let d be f(8). Solve a = -4*a - d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 41*g**2*o**3 - g**2*o - 2*o**4 - 53 wrt o?\nAnswer: 246*g**2*o - 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -1 + -1 - (-26 + -18 - -39).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1521 and 1893?\nAnswer: 959751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 5865 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 93\/6224 and 85\/7002.\nAnswer: 56016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2*(-2 - 10\/(-4)). Let w be (-368)\/(-23) - (-1 - -6). Is (-7)\/3*(v - w) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -13\/66?\nAnswer: -13\/66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1222 (base 3) to base 2\nAnswer: 110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 77696.3cm in micrometers?\nAnswer: 776963000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:59 PM and 4:18 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*p + 2*p - 2*p + (5 + 2 - 2)*(-3*p - p + 2*p) + 1116*p + 1379*p - 2228*p as n*p + h and give n.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -2*s - 4. Let b(l) = l + 2. Let a(f) = -11*b(f) - 6*h(f). Let v be a(-1). Let q be 2\/v - (4 - 2 - 2). Solve 4*n - 2*w + 7 = w, -7 = -q*n + 5*w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7500*o + 666680 = 193314 - 179134 for o.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 369355 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxgxggxx. Give prob of sequence ggx.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 49.34 + -44.8. Let a = -55.66 - n. Let s = a - -60. What is the second smallest value in -0.08, s, 1\/3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*f**2 + 13*f**2 - 37*f**2 + 8*f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 89 - 31. What is the remainder when r is divided by (4 + 0)\/(-1)*63\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 517*m**3 - 4*m - 690 with respect to m.\nAnswer: 1551*m**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + r - 1 = -8, 2*b + 4*r = -28. Suppose -1\/2*f**3 + 1\/6*f**5 - 2\/3*f - 4\/3*f**2 + b + 1\/3*f**4 = 0. Calculate f.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1961, 1957, 1951, 1943?\nAnswer: 1933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1899693315 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 44587 + -19245. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10 + 0. Let z = 0.12 - 0.62. Sort 5, q, z.\nAnswer: z, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 66\/(-54) + 2\/9 + -1. Let w = 400 + -403. Let p be (12\/10)\/(2\/(-10)). Sort w, u, p in increasing order.\nAnswer: p, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 135 a factor of 2257740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4369344, -8738691, -13108040, -17477391, -21846744, -26216099?\nAnswer: -30585456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**5\/9 - 22*d**4\/9 + 28*d**3\/3 - 136*d**2\/9 + 80*d\/9.\nAnswer: 2*d*(d - 5)*(d - 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 2*s = 58, 0 = -3*j - 0*j + 4*s + 89. Let d(k) = -k**3 - 3*k**2 + 14*k + 46. Let u be d(-3). Solve u*t = -g + 20, 5*g - 5*t = -j + 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13114302 to the power of 1\/2, to the nearest integer?\nAnswer: 3621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 72391498 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -25*j**5 + 147105*j**4 - 220042879*j**3 + 10672728555*j**2 + 8643841088*j + 1735813356 = 0?\nAnswer: -2\/5, 51, 2917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5.94 + -7. Let b = 1.06000153 + j. Round b to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 94.3615 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4)\/10*-1 + (-1653)\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 18 - 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**4\/9 + 52*y**3\/9 - 1532*y**2\/9 + 2464*y\/3 + 2368.\nAnswer: (y - 12)**2*(y + 2)*(y + 74)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*i**2 + i**2 + 3*i**2 + (-3*i**2 + i**2 + 0*i**2)*(0 - 3 + 2) + 5*i**2 - 2*i**2 - 2*i**2 + (-22 - 13*i + 22)*(3*i + i - 3*i).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -2*i**3 + 9*i**2 + 27*i - 186. Determine g(5).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-589)\/(-9 + -22) - 41.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*p**4 + p**3 + 8*p**4 - 166*p - 523*p)*(0*p - p + 5*p).\nAnswer: -4*p**5 + 4*p**4 - 2756*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 108603 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*n**3 - 2730*n**2 + 2725*n.\nAnswer: 5*n*(n - 545)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + (-188 - -184) + -9 + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 2*a - 27 = 0. Let s(j) = 4*j**2 - 2*j - 4. Let m be s(3). Let o = -19 + m. What is the smallest common multiple of o and a?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j = -6 + 33. Is j greater than -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.2 and 1228.\nAnswer: 1227.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**3 + u**2. Let c(s) be the first derivative of s**3 - s**2\/2 + 702. Calculate -c(b) + 2*m(b).\nAnswer: -2*b**3 - b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10146 by -1691.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the third derivative of k**6\/120 + k**5\/5 - k**4\/24 + 13*k**3\/6 + 2*k**2. Let o be s(-12). Solve 0 = 6*l - l + o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -56 + 28 + 92*f + 28 as l + u*f and give u.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -2*x**2 + 2*x + 3. Let j be d(-3). Let m = j - -44. Calculate the remainder when m is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/7, 0.1, 2\/109?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-9)\/(-27) + (-14)\/(-3). Suppose x - 1 = w, -f*x + 9 = -11. Let z(b) = w*b - 4*b + 14 - 18. Let u(t) = -1. What is 4*u(n) - z(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 351 a factor of 75465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 5759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1224907 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*y**2 - 106 - 54 + 160.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13277980*u**4*z**2 - u**3*z**3 - 465*u**2*z**3 - u**2 - u*z**2 + 47*u - 5*z**2 wrt u.\nAnswer: -318671520*u*z**2 - 6*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7323288.1299922 + -7323289. Let f = 0.87 + n. What is f rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7.406 + -3.406. Let h be -1 - ((-30)\/9)\/5. What is the nearest to h in f, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (-1 + -66)\/(3735\/(-249))?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 + 1\/(-1))\/(-1 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.73532 + -0.16468. Which is the nearest to s?  (a) -8  (b) 1\/6  (c) -1\/5  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**2 + 8. Let l be v(0). Let j(d) = -4*d + 32. Let x be j(l). Solve 25 + x = 5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*o + t + 4*t + 16, 4*t + 20 = 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -2*l, 6*l = p + 5*l - 19. Factor -19 - p*o - 7 + 134*o**2 - 135*o**2.\nAnswer: -(o + 2)*(o + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 10468 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -4b466a (base 12) in base 2?\nAnswer: -100101100100110110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -6022451563 + -1?\nAnswer: -6022451564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t\/(t**(-41)*t))\/t)**(-21\/4))**(9\/2) assuming t is positive.\nAnswer: t**(-945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 934 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 68 divide 3011312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a*a*a**(-2\/7)*a**9*a*a*a*(a\/(a*a**(-10)*a*a))\/a**(-2\/45) assuming a is positive.\nAnswer: a**(6854\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -73 + 15 + 209 - 35 - 2*x + 328.\nAnswer: -2*x + 444","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -736335, -736325, -736319, -736317?\nAnswer: -736319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -2265*d - 2157. Let z be f(-1). Let l(v) = -41*v - 3. Let y be l(-3). Calculate the greatest common divisor of y and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 15914360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.64374kg to grams.\nAnswer: 6643.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1042 and -3640759.\nAnswer: -3639717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/30*19\/(-152)*-4*2.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 - -7 - -3 - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2400 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z + z - p + 2, 3*z + 12 = -3*p. Let u = 1\/24 + 7\/24. What is the third smallest value in 8, z, u?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.8 in -1, 9\/5, 1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7789 is divided by 1035.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 + 18. Let n = -29802667 + 29802652.999999. Let r = i + n. What is r rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the first derivative of 4*b - 1\/3*b**3 + 1\/2*b**2 - 14. Determine l(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 2*w + w = -5, -3*w - 20 = -r. Suppose 0 = -2*n + r*n - 153. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/14 and 43\/770982512.\nAnswer: 5396877584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzxb when four letters picked without replacement from zoxbdbbzzbbbzddbb.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -11374314331 and 1126?\nAnswer: 11374315457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6097 is divided by 71?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of c**4 + 49*c**3 - 1012*c + 2?\nAnswer: 12*c**2 + 294*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*l + 211 + 149 = 0. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ivikkv. Give prob of picking 1 k and 1 i.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2278529556?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 407 is divided by 32?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-14*h - 24*h + 35*h)*(4 - 3 + 1) to the form y + k*h and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -311 - 183 = -34*p + 8*p for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 - 316631231?\nAnswer: -316631236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1987 * -20\nAnswer: 39740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -166668*v**2 - 5*v - 3. Let p = -11 - -8. Let c = p + 0. Let q be u(c). What is q rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 128 = -2*d, 0*d + 305 = -5*d + 5*c. Let g = d - -141. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.118887 to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s*s*s**(2\/3)*s))**(-11))**(2\/35) assuming s is positive.\nAnswer: s**(176\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2033 and 63289?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 37.748716 rounded to 3 dps?\nAnswer: 37.749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 104606404.9456 take away 5?\nAnswer: 104606399.9456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -136*r + 71*r - 102 = -82*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*y + 48 + 1. Solve 0 = g - 2*h, g + h + y = -2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3459+0.016884\nAnswer: 3459.016884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 9*y = 0. Suppose y = -a + 7*a - 30. Suppose -k - a*k = -168. Is k a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6\/7?  (a) -6  (b) -77  (c) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6927 equal to 6923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -4*n, 0 = -0*q + 2*q - n + 15. Let a = q + 13. Suppose -a*w = -8*w + 300. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1956, -1964, -1974, -1986?\nAnswer: -2000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -635*m**2 + 28559*m + 730. Determine t(45).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**3 + 6*q**2 - 28*q - 6. Let k be c(-9). Solve -k*y = -2*n - 7*y - 10, y = 4*n - 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 + 86?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 0*c - 12 = 0. Let k(f) = -4*f**3 + 2*f + 0*f - 1 + c*f**3. Let b be k(-2). Solve -5*r + b = -2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -23 + 54. List the prime factors of i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6761 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.84 - -0.34. Which is the third smallest value?  (a) -0.1  (b) j  (c) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 87461.\nAnswer: 11, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -24d + -20ce?\nAnswer: -231b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -141*p*s**2 - 2*p*s + 10*p + 11*s**2 + 232*s + 4 wrt p?\nAnswer: -141*s**2 - 2*s + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (21*x**2 + 28 - 28)*(-1 + 1 + x**2) to the form q*x**2 + r + u*x**3 + b*x + d*x**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 2301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -20 or 92?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 227 - 63 = 0. Let m = v - 45. Let z = -14 - -17. Which is the closest to 1?  (a) m  (b) z  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/4)\/(1\/6). Let o(y) = -4*y - 3. Let g be o(-2). Suppose g*d - 2 = 3, -4*d = -4*b + 20. Solve -b + z = -3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -47*o**2. Let h(l) = -17*l + 22*l - 23*l + 4*l. Calculate h(b(k)).\nAnswer: 658*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l - 1\/6*l**2 + 7\/6.\nAnswer: -(l - 1)*(l + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and 2322.\nAnswer: 11610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 3*q - 4. Let m(n) be the third derivative of -n**4\/24 - n**3\/6 - 2*n**2. Let y be m(-4). Determine i(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 260 and 25480?\nAnswer: 25480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -207 + 208. Which is the third smallest value?  (a) 0.3  (b) -1  (c) j  (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*c - 3*a - 23 = -3354, 2*c + 5*a - 837 = 0. Solve 2*k + 404 - c = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 x when three letters picked without replacement from xoxooooxxxoooo?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14*h**3 + 580*h**2 - 3094*h - 1960.\nAnswer: -2*(h - 35)*(h - 7)*(7*h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -792*j**3 + 7*j**2 - 20*j - 16431356 wrt j.\nAnswer: -2376*j**2 + 14*j - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79313*j + 1529 = 79174*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 107825 divided by 1135\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*a**5 - 10*a**4 + 135*a**3 + 120*a**2 + 20*a = 0. Calculate a.\nAnswer: -1, -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6848 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 38*w**2 + 55*w + 30. Let z(o) = 219*o**2 + 332*o + 182. Let a(f) = 23*n(f) - 4*z(f). Give a(-31).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x + 1. Let m(j) = 8*j + 6. Let k be 75\/10*(-4)\/(-5). Let t(z) = k*y(z) - m(z). Let o(h) = -3*h. What is t(o(s))?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is (1171\/(-3))\/(53\/(-4929)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 67 * 517.501\nAnswer: 34672.567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/12)\/((-33)\/495).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b - 5*q = 36, 3*q - 4*q + 16 = -5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*w + 97 - 83 = 0. Let i(j) = 54*j**2 + 4*j - 7. Let d be i(w). Which is greater: 216 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 3, 40 in descending order.\nAnswer: 40, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -893, -6782, -22757, -53858, -105125, -181598?\n\"Answer: -840*p**3 - 3*p**2 - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z = -5*x + 20, 0 = 5*z - 2*x - 1 + 9 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 29 = -n, -4*n - 4*p + 113 = p. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 5*y = -14. Suppose -5*r + 3 = -i + 15, 0 = -5*r + 2*i - y. Let s(v) = 2*v**2 - 3*v. Let a be s(2). Sort r, -1, a in increasing order.\nAnswer: r, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 17 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 208924934 a multiple of 527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -2*l**2\/7 - 62*l\/7 - 116\/7 = 0?\nAnswer: -29, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1186620.739 rounded to the nearest ten thousand?\nAnswer: -1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b - 2*b - 5*b)*(5*b + 0*b + 5*b + 2*b**2) - 3*b + 38*b**3 + 4*b - 23*b**3.\nAnswer: 3*b**3 - 60*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g + 2*g**2 + 2*g)*(0*g**2 + 3*g**2 - 5*g**2 + (-4*g + 4*g - g)*(-4*g + 5*g + 5*g) + (2 - 2 - 1)*(30 - 77 - 33)*(5 - 5 - g**2)).\nAnswer: -176*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 609, 1191, 1773?\nAnswer: 2355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/8 - 2*(-90)\/240. Which is the closest to 0?  (a) g  (b) 0.2  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, -7, 27, 3092 in decreasing order.\nAnswer: 3092, 27, 2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oqooqoooo. Give prob of sequence ooqq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/3 or 21524985?\nAnswer: 21524985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -562 + 562 - 95*d + 98*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2dc - -6?\nAnswer: -2d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-8)\/10 + 19\/5. Suppose -2*b - 2*k + 6 = 0, 2*k = 2*b + d*k - 4. Let c = -6.7 - -7. Which is smaller: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.0852 + -0.0352. What is the nearest to -1 in b, 0.3, -1\/6, 0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - -2) + (-26)\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4\/22 + (-221)\/187)*0. Suppose j*u - 3*u = -8*u. Solve 4*s - 11 + 3 = u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 4 - 2 = -l, -r = -l + 2. Suppose 0 = l*f - 5*f + 6. Which is the third smallest value?  (a) 4  (b) -2\/17  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (-3*(sqrt(306)\/(sqrt(24)\/sqrt(4)) - sqrt(51) - sqrt(51)))\/(sqrt(15)\/(sqrt(10)\/sqrt(2)) + sqrt(300)*-1))*3.\nAnswer: -sqrt(17) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 1658*s + 67895. Determine y(-41).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 + -3. What is the second derivative of 4*o - 2*o**n + 0*o + 2*o**2 - 3*o**4 wrt o?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and 1388.\nAnswer: 4164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/4, -694197, 0, -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 553 and 1659?\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4 + -2 + (179231 - -2). Let q = g + -1460961\/8. Let n = 3381 + q. Find the common denominator of n and 57\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1910, -3820, -5728, -7634?\n\"Answer: k**2 - 1913*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 14*w + 2. Let j(v) = -15*v + 42*v - 28*v. Calculate 3*j(r) + s(r).\nAnswer: 11*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16)\/56 - 320\/56.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 28 + 62. Suppose -s = -5*t + 2*t. Solve 4*d + 2 = -t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**3 - 4*v**2 - 6*v - 6. Let i(r) = r**2 - 17*r - 13. Let t be i(18). Suppose -2*y = -2*p - 2, -5*p + 35 = -2*y + t*y. What is l(y)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 3*k - 6 = -0*k, -m = k + 2. Suppose -c - 5*y = m, 5*y = c + 3*y - 7. Are c and 5 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1992b + -6?\nAnswer: 19925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the third derivative of 0*x**3 - 5\/24*x**4 + 0 + x**2 + 0*x. Let d(m) = -3*m. Give d(n(g)).\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1431103 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/((-3)\/(-6)))\/(13*(-44)\/(-286))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + -40?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 6*n**2 - 3*n + 3. Does 3 divide t(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the first derivative of g**7\/840 - g**5\/120 + g**3\/24 + 2*g**2 - 3. Let q(c) be the second derivative of o(c). Let q(f) = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2373?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.017, -4, -0.627?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 2:53 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 106 times -4?\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 4 + -2 + ((sqrt(176) - (sqrt(176) + 2)) + sqrt(176))*3)**2.\nAnswer: -72*sqrt(11) + 1593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2593\/15 + -173. Which is the second smallest value?  (a) -0.5  (b) n  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k - 4 + 4)*(389 + 424 - 784)*(-5 + 5 + k).\nAnswer: -29*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 15*z**3 + 15*z**2 + 13*z + 11. Let l(c) = 7*c**3 + 7*c**2 + 6*c + 5. Let s(r) = -r + 3. Let n be s(-10). Determine n*l(v) - 6*x(v).\nAnswer: v**3 + v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000001959 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -9*n + 25. Let d be c(4). Let h(q) = q**3 + 11*q**2 - 2. Let w be h(d). Let s be 1\/w + 1\/2. Is 13\/11 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**4\/p*p*p*p\/((p*p**5\/p)\/p)*p*(p*p**0)**(-42))\/((p**(-2\/7))**(2\/17)\/(p**(2\/3))**(-1\/12)) assuming p is positive.\nAnswer: p**(-81443\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5)\/(4\/8 - 1). Suppose s = 3*s + r. Is s bigger than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 40 + -6. Let n = -22 + j. Calculate the remainder when 59 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 divided by -109.\nAnswer: 13\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 2 m when four letters picked without replacement from {m: 3, b: 4}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n + 2 - 4 - 6*n)*(160 - 54 - 55 - 50 + 559*n).\nAnswer: -2795*n**2 - 1123*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -19*l + 25. Let q(i) = -9*i + 12. Let t(c) = -c. Let z be t(-6). Let y(o) = z*n(o) - 13*q(o). Calculate the remainder when 47 is divided by y(10).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 5*t = y - 20, -13 = 5*y + 4*t. Which is the second biggest value?  (a) 0.37  (b) y  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2153376 (base 8) to base 13\nAnswer: 1738c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14386 - 14361 + 28564 + 398*c**2 + c wrt c.\nAnswer: 796","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1823403, 1823404, 1823405, 1823406, 1823407?\nAnswer: 1823408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10110101001010000 + 1101?\nAnswer: -10110101001000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 713519.6t in nanograms?\nAnswer: 713519600000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -8479, -16989, -25527, -34093, -42687, -51309?\n\"Answer: -14*w**2 - 8468*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4152132*7.\nAnswer: -2.9064924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is e2f + -a?\nAnswer: e25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.1 in 0.5, -5, -2, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -94*s + 1156. Give u(12).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 47752 - 15087. Let f = o - -15335. What is f rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -396097.\nAnswer: -2\/396097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -360 divided by 180?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 5, 7, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 - 6. Let s(p) = -13*p**2 + 11*p**d + 16*p**2. Is s(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 15*t**2 + 19*t + 11. Let j(b) = 8*b**2 + 10*b + 6. Let g(x) = -7*j(x) + 4*w(x). Factor g(u).\nAnswer: 2*(u + 1)*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s + 16 - 7 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x - 2*x + 9. Suppose -r = -4*r - 7*r. Suppose r = x*i - 2*i - 157. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -55234346*f**2 - 15696228?\nAnswer: -110468692*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/(-9)*-3 - -31*71. Is a\/((-4)\/(-3 + -1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**3 - 4*r**2 - 5*r + 5. Let d be y(5). Suppose 11 + 14 = d*n. Suppose -5 = n*g + 10. Is -2 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-187)\/(-34)*4\/77?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -3  (b) 6  (c) 1  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -4*h**2 - h + 1. Give u(-3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-15)\/20)\/1 + 1107\/164?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 109888 to the power of 1\/2, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*q + 8 = -7*q + 3*s, -42 = 458*s - 437*s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -36*b**3 - 2296*b**2 - 8128*b + 1920.\nAnswer: -4*(b + 4)*(b + 60)*(9*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 3*j - z, 5*j - 1 = -3*z + 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 17081797457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 e when two letters picked without replacement from {e: 2, y: 1, z: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*g + 53*g - 2*j = 7930, -15 = -3*j. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.2016  (b) 2.8  (c) 4  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3024 and 142776.\nAnswer: 1998864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) -0.18  (c) 2\/11  (d) -1\/4  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 4*g**3 - 30*g**2 + 38*g + 37. Let a be f(7). Let w be (-13 + 0)\/(2\/4). Let p = w + a. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 250961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 PM and 1:34 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 847092542 divided by -2\nAnswer: -423546271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -70463 - -138373. Let f = -67930.00032 + h. Let z = f + 20. Round z to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 2083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 180563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 7 - (-1 + 8) - (-1 - -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 2 h when three letters picked without replacement from {h: 3, u: 1, c: 3, i: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 68\/525 and 89\/1498500?\nAnswer: 10489500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 58 = 3*m - 5*i, 3*i - 40 = -5*m. Suppose 218 = 10*a - 372. Suppose -55*z - 16 = -a*z. Calculate the remainder when m is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -77*f**3 + 92*f**2 + 3*f + 3. Let k(z) = 75*z**3 - 93*z**2 - 4*z - 4. Let b(a) = 3*k(a) + 4*u(a). What is the third derivative of b(v) wrt v?\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000031511468 to 7 dps.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 2 - 2*t**3)*(0 + 4 - 2) - 3*t**2 - 2*t**3 + 3*t**2)*(-581 - 499 - 987 - 168).\nAnswer: 13410*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1557 - -1567. Solve -z + 85 = -25*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 5 + 1)*(4*h**3 - 7*h**3 + 7*h**3) to o*h + j*h**2 + k*h**3 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 6, m: 2, v: 4, c: 1}. What is prob of sequence jjv?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-2)\/(-6))\/(28\/(-24)). Suppose 3*j + 28 = 34. Suppose 11 = j*l - 7. Is l smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23 divided by -35.\nAnswer: -23\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.7 and 226?\nAnswer: 226.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 217 and 257362?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*d + 486 = -102. Let w(y) = y**2 + 7*y - 4. Let h be w(-7). What is the third biggest value in -2\/3, d, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence son when three letters picked without replacement from nso.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107*c = 605911 - 3257799. List the prime factors of c.\nAnswer: 2, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(33)\/(sqrt(11)*-3) + (sqrt(3) - (sqrt(30)\/(sqrt(10) - sqrt(250)) - sqrt(3))).\nAnswer: 23*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 16742*o**2 + 1946*o**2 + 6*o + 22905*o**2 - 7*o - 1.\nAnswer: 41593*o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g - 2*g + 0*g + (5*g + 0*g - 2*g)*(-1 + 2 - 2))*((3 - 3 - 2)*(-3 - 1 + 2) - 8 - 12 + 38)*(-5*g + 3*g + 0*g) - 6*g**2 + 3*g**2 + 4*g**2.\nAnswer: 309*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -18.6383 - -0.2183. Round f to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 >= -6\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, q: 1, x: 1, r: 1, s: 2, c: 1}. Give prob of sequence ck.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/15 of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 132505216939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -6a87a33 - a?\nAnswer: -6a87a3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 233816?\nAnswer: 2, 11, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 368, -2, -1.\nAnswer: -2, -1, 368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2\/45)*p**(-1\/9)\/p)**(2\/25) assuming p is positive.\nAnswer: p**(-104\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*v, 3*g - 15*v - 15 = -19*v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/(-12) + (-250)\/(-8). Solve -4*r - j = 5*t - 2*t, -4*t = 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**2 - 16*f - 19. Let r be h(-14). Suppose -13*q + 56 = -r*q. Differentiate 7 + 35*p**2 + 21 - q + 3 with respect to p.\nAnswer: 70*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 3*i**2 + 13*i + 1100. Is 50 a factor of w(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1 + -6. Let g = 69.768 + -69.968. What is the second smallest value in d, g, 0.016?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 94 divide 1786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2805768 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*n - 5 - 10 = 0. Put 3, -6, n, 4 in ascending order.\nAnswer: -6, n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 5*a - 5, -5*a = -5*g + 4*g + 15. Put g, -1, 7 in decreasing order.\nAnswer: 7, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7.49*0.6.\nAnswer: 4.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -4*k**2 - 6*k + 8*k**3 - k**2 - 9*k**3 - 7 + 11. Suppose 6 = -4*n - 6. Let j be b(n). Solve 3*c = 3*w + 9, 2 = 5*w - j*w for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -47\/3  (b) 0.2  (c) -0.1  (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*h = 91*v - 86*v - 168, 4*v = 3*v for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1772 + -1796 + (-2 - 122\/(-1))\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22658 - 58151 = -4707*i - 24325 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 101 - 288 - 1*4. Is -193 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-26)\/12*-2 + (-10)\/(-15). Solve -4*g + b = f + 2, 13 = 4*g - 5*b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/2, -1\/3, 2\/5, -10, 0, 62?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8.8 - -0.8. Let h = 337.4 - 337.2. What is the third biggest value in m, h, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 339166, -4\/3, -16 in increasing order.\nAnswer: -16, -4\/3, 339166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the third derivative of m**5\/60 - 39*m**2 - m. Let x(j) = -10*j. Give x(q(y)).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 - u + 276. Let j(o) = 10*o**2. What is y(j(h))?\nAnswer: 100*h**4 - 10*h**2 + 276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from eroeoooeooeoo.\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 + -5206?\nAnswer: -5212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 31 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 4, x: 3, j: 3, u: 3, f: 7}. Give prob of picking 1 f, 2 z, and 1 x.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 133 - 128. Suppose -a*l - 7*l = -168. What is the greatest common divisor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1283736 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -41*a**2. Let c(w) = -61*w**2. Determine -5*c(o) + 7*l(o).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 1.1, -8, 2 in ascending order.\nAnswer: -8, 1, 1.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 434, -4, 5 in increasing order.\nAnswer: -4, 3, 5, 434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 + 20. Let f(m) = 23*m - 180. Let s be f(w). Solve 9*r = q + s*r - 25, 3*q + 4*r = -20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - -194. Let m(t) = -t**3 - 12*t**2 + 12*t + 16. Let a be m(-15). Let b = 539 - a. What is the greatest common factor of f and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -107?  (a) -1  (b) -0.4  (c) 1\/19  (d) -2  (e) -146\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 4*u + 10 = 0, 0 = -3*w - 0*u + 2*u + 22. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 118*l - 1148 - 504. Which is the closest to l?  (a) 1  (b) 2\/31  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 6*z = 6. Let x = -7823 + 7819. Sort 5, -7, z, x in descending order.\nAnswer: 5, z, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**0\/c)\/c*c**(1\/8)*(c**(-2\/11)\/c)\/c*c**4 assuming c is positive.\nAnswer: c**(-5\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:39 PM and 11:13 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18 + -12. Suppose r = j*r - 500000. Round r to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 19*d - 29*d. What is the nearest to d in -20, -1, -0.5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -7*l + 3*h + 22, -l = h - 6. Let s(j) = j**3 - 6*j**2 + 6*j + 2. Calculate the remainder when s(l) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -21\/421816 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -60551, -242202, -544953, -968804?\nAnswer: -1513755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 77930 by 10.\nAnswer: 7793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/2, -56, 1\/6?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-5\/12)*r*(r\/(((r*r*r**(-5\/3))\/r*r*r)\/r))\/r)\/(r\/(r*r*r**(-30)\/r)*r*r**(-4\/17)))**(-23) assuming r is positive.\nAnswer: r**(47725\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.4 + 0.6. Let y = -10 + 4. Let u be (-4)\/y*(1 - 4). What is the nearest to 0 in t, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1089 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (19 - (5 + -4)) + (171 - 153)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 30 from 0.52.\nAnswer: -29.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 342*x - 10170. Calculate p(30).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2683652 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 240 + 6*s**2 + 4*s - 2*s + 6*s + 221 - 459. Determine x(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10021 + -211110?\nAnswer: -201012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0.0617173*40\nAnswer: 2.468692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20821 is divided by 93?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -6  (b) -2  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -18 divided by 2684\nAnswer: -9\/1342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*q + 42*u = 45*u + 6, 0 = 4*q + u + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/(-5)*(-12 + -1 - 4).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*3.6215\nAnswer: 1.08645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 450340440 divided by -6842\nAnswer: -65820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2*3\/18)\/(262\/(-4716))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 + ((-3)\/3 - 9). Let o = j + 31\/3. Suppose 0*z - o*z**2 + 1\/3 = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 - 19*y**2 + 19*y + 15. Let o be k(18). Suppose o*m = 35*m. Let c be (301\/3 - m) + (-43)\/129. What is the highest common divisor of 25 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {e: 1, k: 5, d: 6, h: 5}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(5) - (sqrt(5) + 0)*-1 - (-4 + sqrt(50)\/sqrt(10)).\nAnswer: sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - -38?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 1337 divide 63322626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 25879092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 29.7 - 32.7. Which is the second biggest value?  (a) 36  (b) 1  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 22441 + -22439. Factor 2\/9*q**3 + 98\/9 - 26\/9*q**g + 70\/9*q.\nAnswer: 2*(q - 7)**2*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 54 and 39?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + 4*p - 2*g = 18, -2*g - 4 = 3*p. Suppose p = 3*w + w - 3*y, -4*w - y = -10. Calculate the least common multiple of 1 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 175788 is divided by 87673.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 706967379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -302 + 299. Let y(h) = -h. Let k(u) = 2. Let f(o) = k(o) + 2*y(o). Calculate f(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*s**2 + 2*s**2 + 4*s**2 + 3*s**2 - 7*s**2 + 2*s**2 + (-4*s - 5 + 5)*(161*s + 149*s - 316*s).\nAnswer: 23*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*k + 22 + 58. Let s = -15 - -17. Suppose -3*r + 23 = 2*m, s*m - 2*r - 8 = 10. What is the lowest common multiple of m and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 - 3*c**2 + c + 1. Let s be 165\/44*(5 - 1) - 6. Suppose s*p = 33 - 15. Calculate b(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1248100765?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00057971 to 5 dps.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(65)*-1 + sqrt(65))\/sqrt(5) + sqrt(13))**2 - sqrt(13)*1*3) + (sqrt(13) + -3 + sqrt(13) + 1 - sqrt(13)*-2*3)**2.\nAnswer: -35*sqrt(13) + 849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 2 - 34)\/((588\/(-14))\/21).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4551 - 53824?\nAnswer: -48263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73*r + 10 = -68*r. Suppose 3*a - 5*a - 3*z + 1790 = 0, -3564 = -4*a - r*z. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*h**2 - 13088*h - 99509 wrt h?\nAnswer: 4*h - 13088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.44 - -0.06. Let o = -0.5 - -0.1. Let z = -0.2 - o. Which is the smallest value?  (a) s  (b) 0.1  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2099727ug to kilograms.\nAnswer: 0.0000000002099727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the second derivative of -q**3\/2 - 5*q**2\/2 - 10*q - 100. What is g(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5049.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 214*f + 98868 = 235*f. What are the prime factors of f?\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 206 = 58. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -3*k - 3116, -14*v + k + 3116 = -12*v. What is the greatest common divisor of 76 and v?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 100068*r + 144158*r + 127018*r + 282889*r.\nAnswer: 654133*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 12672 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3913.17 rounded to the nearest 100?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/21 - (-108)\/84. Let d be -5*a*95\/171 + 3. What is the closest to 0.1 in 0, 0.29, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 117*i - 114*i = -33. Let o(j) = -j**2 - 11*j + 9. Let c be o(i). Solve 0*y - 3*y = c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 55 + -41. Find the second derivative of -g*o + 11*o - 20*o + 14*o**3 + 4*o**3 wrt o.\nAnswer: 108*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 - -10. Suppose -4*y + 22 = -3*a - 22, 5*a = 5*y - 50. What is the greatest common divisor of n and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33229744 is divided by 11076579.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -9 + -29 + -32 + 50 - (16 + 0)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*r + 5 - 31 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*x + 2*x. Let m be x*(11\/3 + -3). Solve 2*g + 4 + 10 = -3*d, -4*g = -2*d - m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -72360 divided by 6030?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 0*l + h + 2 = 0, -5*h + 29 = -3*l. Suppose -3*q - 2*q = 2*f - 20, -f = 2*q - 7. List the prime factors of (q\/(-4))\/(l\/80).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 34 - 34.23. Let l = v + -2.57. Let o = 3 + l. What is the closest to -0.1 in -2\/9, -1\/6, o?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 40131, 40137, 40145, 40155, 40167, 40181?\nAnswer: 40197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 860524 is divided by 1150?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (-8 + 0) - (4 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one sixteenth of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 5*y**2 + 10*y + 32. What is x(-5)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -240 divided by 4\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 46282.97 millilitres in litres?\nAnswer: 46.28297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jbjbhkhbhb. What is prob of picking 3 b?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -1*sqrt(11) + -3.\nAnswer: -sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 18 - -36?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 131, 2, 1, 5, -319.\nAnswer: -319, 1, 2, 5, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 46*b - 135. Let u be t(4). What is the greatest common factor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -3*(sqrt(192) - (-1 + sqrt(192)*1)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14605.\nAnswer: 5, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 4, a: 7, o: 2}. Give prob of sequence oss.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.4, -7638, 1\/10, -2, 0.3?\nAnswer: -7638","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -40003 + 94274. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -130 + 34. What is the hundreds digit of (8\/(z\/135))\/((-2)\/40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 52 - 52.06. Are -2\/3 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11104 and 2?\nAnswer: 11104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -117*u**5 + 3*u**4 - 46*u**2 - 3. Let s(b) = -350*b**5 + 8*b**4 - 137*b**2 - 8. Let n(t) = -8*h(t) + 3*s(t). Find the third derivative of n(r) wrt r.\nAnswer: -6840*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 29584\/9 and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(36)\/(2*5*sqrt(12)) + 2.\nAnswer: sqrt(3)\/10 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 129 divide 5934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-392)\/245 - (1 + -2 + -1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 9800, 18513, 27226, 35939, 44652?\n\"Answer: 8713*i + 1087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3694 is divided by 112?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 75 and 45?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3063 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 17\/4*-1 - 12\/(-4). What is the third biggest value in c, -2\/3, 23?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 + 2. Suppose -3*p - 8 = -4*p. Let o = -4 + p. Which is the closest to 2\/5?  (a) o  (b) 5  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 5*x**2 - 70*x - 146. Is t(85) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16 + -14 - (1 - 22).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l + 158 = -l - 4*v + 246, 0*l - 5*l - 40 = -v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9264*h**4 - 9455*h?\nAnswer: -111168*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -24 + 25. Let d = -6 - -4. Let p be ((-1)\/d)\/(2\/(-20)). Put 0.1, k, p in descending order.\nAnswer: k, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**2 - 139*s - 5. Let v(x) = -x**2 - 138*x - 6. Let k(r) = -6*h(r) + 5*v(r). Let u(o) = 2*o**2. Calculate k(u(j)).\nAnswer: 4*j**4 + 288*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 2*m**3 - 9*m**2 - m + 4. Let c(h) = 7*h**3 - 26*h**2 - 3*h + 11. Let j(v) = -4*c(v) + 11*y(v). Solve j(t) = 0.\nAnswer: -1\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30520 - 3*s**3 - 30520.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1721 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -8677, -8676, -8675?\n\"Answer: y - 8678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10*(-64)\/336*(-14)\/48?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -149 + 282. Let y = w - 297\/2. Calculate the common denominator of y and (-2)\/(-4) - (-72)\/(-22).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2095275 and 12675?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 + 1010111100?\nAnswer: 1010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4890.\nAnswer: 2, 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*q + 3*q - 3*q)*(-3*q**3 + 7*q**3 + 4*q**3).\nAnswer: -32*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/3 - (48 - 3). Let s = 66 + y. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1e9 - a2c?\nAnswer: -c26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2400?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(1584) + sqrt(22)\/(sqrt(2)*4))**2.\nAnswer: 26411\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -113\/39 or -4?\nAnswer: -113\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 20 and 290892440?\nAnswer: 290892440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*h + 280 = -1183. Let r = h + 134. What is the highest common factor of 17 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 46274987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1146, -4085, -8814, -15333, -23642?\nAnswer: -33741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 plus -0.018762542?\nAnswer: -6.018762542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -133554.977 rounded to the nearest 1000?\nAnswer: -134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*d**5 + 982*d**4*i + 2*d**3 - d**2*i + 619*d*i - 2 wrt d?\nAnswer: 300*d**2 + 23568*d*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 2*h + 4 = 0, 2*n = h - 24 + 22 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3156599212?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16945874?\nAnswer: 2, 11, 41, 18787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 1030 divide 20286880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 4152*f**2 + 4289*f**2 - 4 + 15 + 1 in the form o + i*f**2 + g*f and give i.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 12466 - -627. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the third derivative of -f**5\/6 + f**4\/8 + f**3\/6 + 639*f**2. Determine r(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*x - 6*j + 2*j - 53, 73*j - 40 = -2*x + 76*j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Put 38, -4, 1, 40 in descending order.\nAnswer: 40, 38, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -220, -433, -642, -847, -1048?\nAnswer: -1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/808776 and -7\/83754.\nAnswer: 80068824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 636093 divided by -241.\nAnswer: -636093\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.3, -2, -5, 149?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*s**4 - 15*s**3 - 15*s**2 + 35*s + 30.\nAnswer: 5*(s - 3)*(s - 2)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 46957b + -4ba?\nAnswer: 469081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 - 3)\/(2\/8). Let i be f\/100*5 - (-48)\/(-5). Let h(k) = -k**3 - 9*k**2 + 9*k - 10. Let z be h(i). Solve c + c - 8 = z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11973 = 14*m - 3*h + 13259, -m - 111 = -5*h for m.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pf when two letters picked without replacement from {p: 3, d: 1, f: 3, n: 6, t: 1, w: 5}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 7*v - 3. Let a = 6157 + -6150. What is x(a)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (-14)\/(-42)*-24*-8 and 840?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s - s - 2*s)*(-3*s - 3*s + 5*s) + s**2 - 4 + 24 + 0 + (2*s + 0*s + 0*s)*(14*s - 5*s + 5*s).\nAnswer: 30*s**2 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 116, 225, 414, 689, 1056, 1521, 2090, 2769?\nAnswer: 3564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 PM and 12:44 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the first derivative of -w**4\/3 - 16*w**3\/9 + 2*w**2\/3 + 16*w\/3 + 82. Factor t(o).\nAnswer: -4*(o - 1)*(o + 1)*(o + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 2*n**2 + 839*n - 114583. Determine x(-528).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 344 - 353. Let r(q) = -11*q - 97. Let f be r(s). Solve 3*c - 4*y - 1 = -f, 5*y + 10 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 96\/80*(-1 - (-154)\/4). What is the greatest common divisor of 15 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o**3 - 4*o**3 + 3*o**3)*(-5*o + 4*o + 0*o)*(37 + 41 - 88).\nAnswer: 20*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**3 + 9*s**2 - 20*s + 302. Let j be t(10). What is the closest to -9.6 in j, 8, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43930 times 0.1?\nAnswer: 4393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 546, 785, 1010, 1215, 1394, 1541, 1650?\nAnswer: 1715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-21)\/(-14))\/(650\/52)*10\/4\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-2)\/1)\/(4\/22). Let m = v + 21. Suppose 2*x + 5*d = 2*d + 171, -15 = 5*d. What is the highest common factor of m and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.189 and 0.07.\nAnswer: -0.01323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 36 - (-4 + 39 - 16).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -14864*i**2 + 109760?\nAnswer: -29728*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -8912.5 times 3\nAnswer: -26737.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 235 divide 23046215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -7*w. Let z(x) = 6*x. Let h(g) = 4*m(g) + 5*z(g). Let k(i) be the third derivative of 0*i**3 + 0 + 23*i**2 - 1\/12*i**4 + 0*i. Calculate k(h(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -225 - -224.9. What is the third biggest value in 25, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 59*l - 335. What is the remainder when 144 is divided by k(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 4, p: 5, z: 2}. What is prob of sequence zpc?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 453*q**2 + 2*q**3 - 225*q**2 + 893*q - 230*q**2 to the form v + u*q + c*q**2 + n*q**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1088) + -1*sqrt(1088)*-6 + sqrt(1088)*2 + -2 + sqrt(1088) + sqrt(1088))**2.\nAnswer: -352*sqrt(17) + 131652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 3*u + 17. Let l(v) be the second derivative of -v**3\/2 + 111*v. Give o(l(a)).\nAnswer: -9*a + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 146 and 1679.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-7)\/3*(-6 + 3). Let o = 4 - 2. Let v(j) = -3*j**2 - j - 10. Let m(c) = c**2 + 3. Let t(f) = o*v(f) + r*m(f). Let t(p) = 0. Calculate p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -3*w + 468. Suppose -h = 8*h - w. Let c = -41 + h. Calculate the highest common divisor of c and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 578 - 591. Let u = 0 + 74. Let a = u + d. List the prime factors of a.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(22)*1)\/(sqrt(396) + sqrt(396) + (sqrt(396) - (sqrt(396) + 1*sqrt(396))) + sqrt(396) + sqrt(396)))**2.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 142*o**2 - 11*o - 12. Give r(-1).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 7*z - 2. Let l be ((-7)\/(-6 + -1))\/1. Give s(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*p + 31*p = 77 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 32 and 14074112?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3395877050?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + 2. Let c(m) = 0 + 4*m**2 - m**3 + 2 + 3. Give c(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.613973 centuries in decades?\nAnswer: 36.13973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 4 + 1 + (-2 + 0 + 0)*(-2 - 3 - 3))*(0*l**2 + 2*l**2 - 3*l**2) + l**2 - 2*l**2 - l**2 to p + c*l + a*l**2 and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -7*x**4 - 36*x**3 + 27*x**2 + 5. Let q(u) = 6*u**4 + 36*u**3 - 27*u**2 - 4. Let g(k) = 5*d(k) + 6*q(k). What is the third derivative of g(w) wrt w?\nAnswer: 24*w + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1898890 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 + 2. Let h be (-68)\/(-12) + (-22)\/33. Suppose -5*z + 5*o + 465 = d, -h*z - 3*o = -7*o - 460. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -3*l + 10. Let b be (-1)\/((-1)\/(0 + l)). Differentiate -3 - b*u**2 - 4 + 4 with respect to u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*x + 452 = -10. Calculate the smallest common multiple of 210 and x.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-76)\/5*(-15)\/3?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 2218*w - 39. Let h be a(10). Let q be h\/(-105) + (-2)\/15 + -4. Let b = -152 - q. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -l**3 - 4*l**3 + 2*l**3 - 10*l**2 - 7*l**3 + 10*l**2 + (-3 + 5 - 1)*(-l**2 - l**3 + l**2) in the form o*l**3 + y*l**2 + n*l + p and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 11 = c - 1, 4*g - 18 = c. Suppose c*b + 464 = 6*b. Suppose 33 = -w + b. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the second derivative of 0 + 0*u**2 - 1\/36*u**4 + 0*u**5 - 2*u + 1\/6*u**3 + 1\/540*u**6. Let b(n) be the second derivative of c(n). Factor b(i).\nAnswer: 2*(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1569251*4.\nAnswer: -6277004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes after 10:29 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 17*c**2 - 26 + 44*c + 15 + c**3 + 4. What is the tens digit of r(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2 + (5 - 4) + 3. Solve 6*n - d*n - 8 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes after 5:44 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -541 - -806. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 3*j = 8*j + 13, 4*l = -j + 31. Find the first derivative of 2*u - l*u**3 - 10 + 15 + 126 - 18*u**3 + 49 wrt u.\nAnswer: -75*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/6*3*-2. Let j = 8 - 18. Let g be -77*(-100)\/(-550) - (-1 - 8). Put j, s, g in increasing order.\nAnswer: j, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 259782049?\nAnswer: 17, 43, 355379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 k, and 2 d when four letters picked without replacement from wdwwkeweddeweewedewe.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 11) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 36\/(-15*(-2)\/(-18)*(-942)\/785)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2239 - -2243. Which is the fourth smallest value?  (a) x  (b) -3  (c) 15\/17  (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 708 by 12.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) 2  (b) 2\/7  (c) 0.34  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -441803?\nAnswer: -3\/441803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1\/11)*y**(8\/7)\/y*y)\/(y*y**(2\/27)*y*y*(y*y**16*y)\/y) assuming y is positive.\nAnswer: y**(-39547\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 11*z + 22. Let m(i) = -i. Let w(g) = l(g) + 3*m(g). Does 7 divide w(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -2*w. Let k(i) = -10*i - 3 - 1 + 0 + 10*i + 2*i. Determine k(p(x)).\nAnswer: -4*x - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 6*u**2 + 5*u + 5. Let y(g) = -18*g**2 - 14*g - 14. What is -11*f(i) - 4*y(i)?\nAnswer: 6*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwyy when four letters picked without replacement from hhhwhhhyhhhhwhyhhhwh?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(9)\/sqrt(3)*2 - 5*(-2 + sqrt(3)).\nAnswer: -3*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1017.8 - 1018. Let y = 2 - 1.8. What is the nearest to n in y, 2, 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 885 and 942?\nAnswer: 277890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1689 - -1691. Determine c so that 0*c**w + 0 + 0*c + 2\/3*c**4 - 2\/9*c**3 - 4\/9*c**5 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 3*n**2. Let z(a) be the second derivative of -a**6\/45 + 5*a**4\/12 - a**2 - 53*a. Let v(y) be the third derivative of z(y). Give w(v(j)).\nAnswer: 768*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qcsqqlqqqcqqsfqqqq. What is prob of picking 2 q and 1 c?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q = 2*q + 85. 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: What is the greatest common factor of 37 and 9287?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 134*d**2 + 489*d**2 - 79*d**2.\nAnswer: 544*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-18) + (-8932)\/126. Let k = -37 - f. Let h = k + -41. Let a(v) = 3*v - 6. Let l(s) = s - 3. What is h*l(u) + 3*a(u)?\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -61943, -61949, -61957, -61967?\nAnswer: -61979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together -84.7 and -728789.6.\nAnswer: -728874.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:49 PM and 8:42 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 - 7*x**2 + 9*x - 2. Suppose 5*q + 4*d = 38, 0*q = -q - 3*d + 12. Suppose -q = 3*a - 4*a. What are the prime factors of v(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (6*(sqrt(684)*1 + sqrt(684)))**2*2 - (-1 + -6*(-2 + sqrt(171) + sqrt(171)*1)**2).\nAnswer: -144*sqrt(19) + 201124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-1\/5)*k*k)\/(k*k**14))**4 assuming k is positive.\nAnswer: k**(-264\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(612)*1 + sqrt(612) - sqrt(612)) + 0).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8240 + -8204. Solve 141*k - 132*k = r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 6*s + 68 = 4*v, -2*s = 4*v - 96. Calculate the highest common factor of 242 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1686731 - 1?\nAnswer: -1686732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 4836*g**2 - 9*g + 8. Let h be s(6). Suppose h = -z + 6*z. Suppose -k = k + a + 23205, 3*k + z = -2*a. What is k rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 44 + 29. Suppose -3*j + l = -74. Let i = j - 53. Which is the third smallest value?  (a) -0.1  (b) i  (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 351921?\nAnswer: 3, 117307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 655284364 is divided by 198?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8\/3*a**3 + 3*a**4 + 0*a - 1\/3*a**5 + 0 + 0*a**2.\nAnswer: -a**3*(a - 8)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r = -8*r - 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 68.8 - 9.8. Let v = x + -55. Which is the biggest value?  (a) v  (b) -5  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 196 - 631 = -3*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 41*l - 3. Let m(p) = -162*p + 11. Determine 6*m(k) + 22*v(k).\nAnswer: -70*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 34099, 34090, 34075, 34054?\n\"Answer: -3*b**2 + 34102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1034 - 104?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*f = -0*f + 19377. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -15 + 5. Let q be 8\/(-40) - (-18)\/w. Let v be 9\/4 - q\/(-8). Sort v, 5, 3 in ascending order.\nAnswer: v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7895.113mg in grams?\nAnswer: 7.895113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 394 = 5*c - 461. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes after 5:05 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -54.9 - -55. Let z = -14 + 5. Let m be z\/(-10) + 0 + -1. Put m, f, -0.3 in descending order.\nAnswer: f, m, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 12*q. Let r be s(-3). Let o = -32 - r. Suppose o*u - 28 = 4. What is the smallest common multiple of u and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -36035, -36245, -36457, -36671, -36887, -37105, -37325?\n\"Answer: -f**2 - 207*f - 35827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -1328.\nAnswer: -1325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 + 14. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -44.92 + -0.08. Let c = 0.282 - 13.282. Let v = c - q. Is v less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 214 a factor of 5786346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.15  (b) -82  (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 6, g: 12}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*a + 62*a - 1560 = 0. Calculate the greatest common factor of 20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -5*z**2 + 4131*z - 12414. Give v(3).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 83544 is divided by 978?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 188 = 26*l - 20 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - u + 80 = -6*u, 3*u + 8 = -i. Calculate the common denominator of (-50)\/i*30\/(-12) and -91\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -310346163 + 4?\nAnswer: -310346156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 28*g - 338*g - 151*g - 40*g to the form q*g + a and give q.\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 460 is divided by 158.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (630\/(-21840)*52)\/((-6)\/460)?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 103157*n**4 + 48533*n wrt n.\nAnswer: 1237884*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g. Suppose 3*k + 3*c - 15 = 3, 0 = -k - 2*c + 8. Let h be x(k). Solve 3 = h*i + 11 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0206559759 to three dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -68456 divided by 1\nAnswer: -68456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 0.07  (b) 2\/3  (c) -0.2  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the third derivative of 64*g**5\/15 - 377*g**4\/24 + 104*g**2. What is the second derivative of t(o) wrt o?\nAnswer: 512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*o**2*u**3 - o**2 + 139*o*u**4 + 1300*o + 4 with respect to u.\nAnswer: 9*o**2*u**2 + 556*o*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2498\/1955 - 3\/230. Find the common denominator of y and -87\/344.\nAnswer: 5848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 488576.\nAnswer: 2, 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - 3 - (4 - 3 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = d + 25. Let p be 84\/35 + (-4)\/10 - d. Suppose -2*v - v = -5*b + 164, 0 = b - p*v - 26. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**2 + 23*m + 135. Calculate s(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -721*y**6 - 50167*y**3*z**2 + 2*y**2*z - y - 755*z**2 - 3465*z wrt y?\nAnswer: -86520*y**3 - 301002*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.05255 - 371.45255. What is l rounded to the nearest ten?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 689 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 35665 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -312431 (base 7) to base 12\nAnswer: -27112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 226726 = 685480 + 398188. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 151, 112, 63, 4, -65, -144, -233?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -30*(3\/2 - 14\/(-140) - 9\/15).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 161509451 is divided by 102.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 490 - 350. Let f = -133.7 + d. What is f rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 1491021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20.088 + -2.088. What is the second smallest value in 5, 11, o, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1314275343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wfwwwffwwwwwwwwaw. Give prob of sequence fww.\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -583*n + 9317. Give h(16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -2*i - 20. Calculate y(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5563*b + 1243425 = 3181*b - 11772*b - 18047*b for b.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 2*y - 2 = 0, -5*l - 3*y + 3 = 0. Suppose -3*q = 4*v - 5*v + 31, l = 2*v + 5*q - 106. List the prime factors of v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1490 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/3)\/(7 + 75\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 3*a - 5*a. Let g be 12*(a + (-3)\/(-2)). What are the prime factors of 9 - (-1 + g\/(-3))?\nAnswer: 2","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 {k: 1, o: 1, x: 1, r: 2, u: 1, j: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -3*m - m + 5, -o = 3*m + 5. Solve 0 = -4*u - m - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2077105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4764)\/(-45)*3\/24. Let d = c - 40\/3. Calculate the common denominator of d and 37\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/6  (b) -0.45  (c) -160  (d) 0.2  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1122010031300 - 1?\nAnswer: -1122010031301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-1\/12)\/(r**(1\/2)*r) assuming r is positive.\nAnswer: r**(-19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9388353.\nAnswer: 3, 13, 240727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 950672 (base 10) to base 11\nAnswer: 59a288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 9\/(-1)*32\/(-48). What is the third derivative of -30*j**2 + 56*j**2 + 4*j**d - 29*j**2 wrt j?\nAnswer: 480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 325413242?\nAnswer: 2, 7, 11, 47, 44959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36 is divided by (-62)\/279 - (-3 - (-364)\/(-18))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -3*t - 17. Let x be u(-7). Let s = -346 + 373. What is the smallest value in s, x, 2\/3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -f**4*m**2 + 6*f**3*m**2 - f**3*m - 8*f**2*m**2 + 6*f**2*m wrt f?\nAnswer: -24*f*m**2 + 36*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*(w\/(w*w**9))\/w)\/(w*w\/(w*w**(2\/25)*w)))\/(w**(-1\/4))**(-13) assuming w is positive.\nAnswer: w**(-1217\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 10082 less than -3.332?\nAnswer: -10085.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -15*n. Let x be b(-3). What is the highest common factor of 18 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-187 - 251 - 325)*(0 - 3 + 2)*(-3*i**2 - i**3 + 3*i**2).\nAnswer: -763*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 15, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b + 2*b - 6*b)*(b**4 - 2*b**4 + 0*b**4) + 25*b**3 - 5*b**2 + 4*b**5 - 25*b**3.\nAnswer: 6*b**5 - 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 25*m - 170. Let f be s(7). Let k = 25 - 22. Let p be (11 - (4 + -2)) + -1. Solve -p = f*o - k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/9)\/((-175)\/(-21))*6?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -10*k**3 + 2*k**2 + 2*k + 1. Let b be u(-1). Let l = 16 - b. Suppose l*j - 28 = -h, -2*h = -5*h - j + 56. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 - -113470?\nAnswer: 113474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -1, -4, 1, 1\/3, 4372, 0.4?\nAnswer: 4372","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -201 (base 3) to base 2\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3\/2, -1\/2, 9 in descending order.\nAnswer: 9, 3\/2, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -98934 by 22.\nAnswer: -4497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1130 - -1130.3. What is the smallest value in -0.5, -5\/2, z, 4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*x + 3 - 6 + 4)*(-x - 3*x + 2*x).\nAnswer: 14*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 8045566 or 8045570?\nAnswer: 8045570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11 and 205651292.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 7*o - 30 = 0. Let b = 6 - o. Solve 3*a - 7*a - 8 = b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + 0.4. Let o be -4*(-1)\/108*-6. Sort 5, o, d in descending order.\nAnswer: 5, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 4 + 0)*(-5*c + 0*c + 4*c + (-1 + 4 - 2)*(-4*c - 3*c - 5*c)).\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1987 + 2004 = -307*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 265460513 to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 8803 a factor of 1250809467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/296 and -73\/204.\nAnswer: 15096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1951880 and 2720.\nAnswer: 132727840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-33*(-2)\/3 - 48160\/2107)*105?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -4*f + 8, 0 = -4*f + 2*f - g + 8. Suppose 30 = f*j - 63. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 180, 180, 192, 222, 276, 360?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3259a + 3?\nAnswer: 3259d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, 2, -3.61?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2414124650 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24238\/5 - (-315)\/225?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = r - 1 + 8, -5*h - 3*r + 3 = 0. Let g(k) = k**2 + k - 1. What is the remainder when 27 is divided by g(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5973\/561 + -9)\/(36\/1530).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence isi when three letters picked without replacement from sssiiissssssssssssss.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 19*z**2 + 160*z - 31. Let h be f(-11). Calculate the greatest common factor of h and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 0)*(-4 - 2*h + 4)*(3 + 4*h - 3).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b**2)\/b)\/b)\/(b\/b**29)*(b*b**(-2\/31))**(-12\/7) assuming b is positive.\nAnswer: b**(5945\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 178a8 - 30a5?\nAnswer: 14803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-290)\/5 - (0 + 0). Let w = 101 + v. Suppose -7*z + 2*z - w = -4*a, 5*z = a - 7. Solve 7*f - a = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11313548 to the power of 1\/2, to the nearest integer?\nAnswer: 3364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 360*j = 353*j + 28. Solve 7 = 23*a - 19*a - i, 5 = -5*a + j*i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**(-2\/7))**31)**41)**(2\/15) assuming x is positive.\nAnswer: x**(-5084\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**3\/4 - 12953*z**2\/4 - 42016203*z\/4 - 460612251\/4.\nAnswer: -(z + 11)*(z + 6471)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyrrrrryrrrrrrrrrr. Give prob of picking 2 r and 2 y.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17237 is divided by 1418.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 - 4.5. Let v = 0 - f. Suppose 5*l - 4 = 6. What is the nearest to -1\/4 in l, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 30 = 3*p. Suppose -4*l - l + t + p = 0, -3*l - 3*t + 6 = 0. Let w(a) = -2*a**2 + 2*a - 3. Determine w(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 - 3)*(10*b - 4*b + 0*b)*(-2*b - 1 + 1).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -26 - -17. Let w(g) = 3*g + 10. Let t be w(y). Let m = 9 - t. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -388 + 385. Let n be 7845\/35 - i\/(-21). Calculate the highest common divisor of 28 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*h - 4308 - 1838 + 126 = 0. Calculate the remainder when 505 is divided by h.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1713614 (base 10) to base 6.\nAnswer: 100421222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**20)\/x**36)**(-1\/2) assuming x is positive.\nAnswer: x**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(7*(-9)\/(-567)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**3 - 5*z**2 - 2*z - 6. Let w be b(-5). Let v(q) = 5*q + 1. Let d be v(1). List the prime factors of (-54)\/w*d\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 178*o - 8 - 30*o - 155*o. Suppose 125 = -3*k + 149. Let l(a) = 11*a + 12. Calculate k*b(d) + 5*l(d).\nAnswer: -d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1*-2*(5 + -3). Suppose 5*l = -4*i - 5 - 3, 4*i = 3*l - 8. What is the units digit of ((-2)\/i)\/(m\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the first derivative of 0*b**2 - 1\/3*b**3 + 1 + 0*b. Let f(c) = -3*c. What is f(a(x))?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 9134.588 meters?\nAnswer: 9134588000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19, 35, 49, 61, 71?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((455\/56)\/(-13))\/(17\/136).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (((6*6*sqrt(336) + sqrt(336))*-4)\/((6*(sqrt(132) + -2*sqrt(132)))\/sqrt(11)))**2.\nAnswer: 153328\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 2 - (38 + (-752)\/20)?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4015651 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 4, n: 5, m: 8}. Give prob of sequence mmo.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1520558153 times -0.2?\nAnswer: 0.03041116306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2262 + -1481. Let d be (-6)\/(-22) - 4118\/o. Let c be (-2)\/8 + (-6)\/8. Sort -4, d, 0, c in decreasing order.\nAnswer: 0, c, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 + 2202?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -8 - -5 - (-96)\/28. Suppose -3*k + k + 5*o + 8 = 0, -k + 3*o + 5 = 0. Let f be k\/(-4) + (-19)\/(-4). What is the smallest value in f, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.012899 rounded to four dps?\nAnswer: -0.0129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11726.\nAnswer: 2, 11, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*p**3 + 1 - 1 - 23*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4078*h**2*o - 100659078*h**2 - 70*h*o + 9*o**2 wrt o?\nAnswer: -4078*h**2 - 70*h + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9 - 14. Let i(o) = 8*o**2 + 6*o + 6. Let x be i(f). Let q be 1\/((-2)\/6) + 19. What is the highest common divisor of q and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v*v**1*v**(3\/10) assuming v is positive.\nAnswer: v**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 211313304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3470852435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 104\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*5*(-2*sqrt(343)*2 - 4*sqrt(343)*-2)**2.\nAnswer: 109760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -156 - -159.4. Let u = i - 3.1. What is the biggest value in -2\/15, -2\/13, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2387 + -1?\nAnswer: -2388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/90*((3 - 4) + -2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-500)\/7500)\/((-3)\/(-81)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -28 - -52. Suppose 21*j = h*j - 9. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*f = -15*f - 2796. What is the remainder when f is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -7 + 13 + 6 + c + 1. Let y be q(-9). Do -1 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -2*q. Let y be s(-1). Solve 0*k = -2*k - y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -284884, -569746, -854610, -1139476, -1424344?\nAnswer: -1709214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 4935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001246 rounded to six dps?\nAnswer: -0.000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 40070 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the first derivative of -z**4\/4 - 4*z**3\/3 + 9*z**2\/2 - 2*z - 7644. Give n(-7).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, l: 17}. Give prob of sequence lll.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 84 or 193?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 7*r**3 + 7*r**2 - 19. Is p(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 567 and 2296917?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 5*f = -23, 0 = 5*v - 2*v + f - 7. Let m(q) = 748*q + 748*q + 758*q - 2251*q + 1. Give m(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-13)\/w*w**(-2\/41)*((w*w**(-1\/3))\/w)**(-41))**(-2\/63) assuming w is positive.\nAnswer: w**(94\/7749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -123.25 + 123.32. Let k = 52 - 74. Which is bigger: k or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**3 - 12*g**2 - 23*g - 36. What is t(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -21802 + 32946. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + t = -40, -m - 6 = 4*t + 1. Let s = 12 + m. Calculate the highest common factor of 189 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b = -10*y - 9, 2*y + 3 = -23*b + 22*b - 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-8))\/(((-76)\/80)\/(-19))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -9 at least as big as -0.3705737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 188 and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -29 + 11. Let a be (-122)\/(-18) + (-4)\/x. What is the tens digit of (20 - a) + -1 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -1. Let n(b) = 11*b - 13. Let i(v) = n(v) - 5*r(v). Let j be i(1). Suppose -5*k - j*o = -16, 2*k + 3*o = -2 + 3. Sort k, 1\/4, -5, 3.\nAnswer: -5, 1\/4, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*r - 63*r - 66*r - 58*r.\nAnswer: -180*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 1 h, and 2 l when four letters picked without replacement from iilililhliliiillili.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 3*d**2 - 7. Let r be x(4). Let g = r + -18. List the prime factors of g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 418644 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 942*t + 4077 = -13821 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -623 + 767. Calculate the smallest common multiple of 16 and h.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -465*b**2*g + 3256*b**2 - 1480*b*g**3 + 122 wrt g?\nAnswer: -465*b**2 - 4440*b*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 481, 779, 1077, 1375?\n\"Answer: 298*t + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.08915 - 506?\nAnswer: -505.91085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 14 or 24583?\nAnswer: 24583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**3 + 9*i**2 - 12*i - 17. Let v be j(-10). Solve v*w = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -96676.005 + 96362. Let s = -313 - j. What is s rounded to two decimal places?\nAnswer: 1.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3154, -6235, -9310, -12379, -15442, -18499, -21550?\nAnswer: -24595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 0*f = 0. Let c(o) = -o**3 + o**2 + 4. Let i be c(f). Solve -k = -i*k - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 13 = 5*q - 11, 4*m = 5*q - 28. Let s = 10 - q. Calculate the highest common divisor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 16*h - 27. Let m(b) = -b + 1. Let u be (-10)\/5 + (3*-1 - 1). Let o(v) = u*m(v) - p(v). List the prime factors of o(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 44 and 180.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(13\/((-7735)\/(-42))*(-25)\/(-15)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14 + 14.12. Let m = j + 1.88. Which is the third biggest value?  (a) m  (b) -1  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2 - q + 1420000. Suppose 0 = -2*z + 9 - 3. Suppose j = -h - 1, 4*h + z = -1. Let w be o(j). What is w rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -23793 - -52256. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -223, -204, 1 in decreasing order.\nAnswer: 1, -204, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 175, 721, 1637, 2929, 4603, 6665?\nAnswer: 9121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/1 + ((-6)\/1)\/(-3). Sort 3, 1, -1, t.\nAnswer: -1, t, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25264014?\nAnswer: 2, 3, 1381, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*j - 5*j - f + 14, 4*j + f - 11 = 0. Suppose -2*v - h = -2*h - 121, -154 = -j*v - 4*h. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 + 2)*(x + 0 + 1 + 1 + (81*x - 5*x + 67*x)*(-26 + 9 + 12)) as d*x + w and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61*p = -69*p + 42008. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + 6, -5*u + 0*y + 93 = -4*y. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 20 = -4*d, 2*m + 0*d = -3*d + 13. Let y be -3 + (-1)\/m + (-110)\/(-4). Find the second derivative of 71 - y*c + 4*c - c**2 - 71 wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**4 - 87692*a**3 - 2103840*a**2 - 16828672*a - 44873728.\nAnswer: -2*(a + 8)**3*(a + 43822)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1109 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 170278.\nAnswer: 2, 19, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1528*k = 1337*k - 1910 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/(-3)*3 + 2. Let y = v + -4. Let i = 12 - y. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 26 + -181\/7. Which is the nearest to -2\/9?  (a) j  (b) -2  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 65*s**4 + 125*s**3 + 60*s**2 = 0. Calculate s.\nAnswer: -1, -12\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 3*q = -0*c - 5, 3*q - 23 = -5*c. Let x be -6 + c - (-1 + 4). Is (-691)\/(-6) + x\/30 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -158969 by -4.\nAnswer: 158969\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -5*l - 1. Let g be k(-5). Is 48\/5 + g\/60 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -l + 6. Let z be 186\/l*4\/(-6). Let b = 43 + z. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((j*j\/(j*j\/j**(-2\/13)))\/j)\/j**(2\/3))**(4\/17))**(-44) assuming j is positive.\nAnswer: j**(12496\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1022 or -3070\/3?\nAnswer: -3070\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 3*a - 7 - 0, a - 1 = 2*d. Let p(u) = -54*u**3 + u**2 - 2*u + 1. Let z be p(d). Find the common denominator of 15\/8 and (6\/z)\/((-8)\/606).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2391, -4782, -7173, -9564?\n\"Answer: -2391*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27135, -27376, -27617, -27858, -28099, -28340?\nAnswer: -28581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 3*s - 34 = 0, -5*s = -8 - 2. Let z = -1 - k. Let i(j) = 4*j**3 - 4*j**2 + 3*j - 1. Is i(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (280\/40)\/((-1)\/4)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 375 by 5.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2\/5*u + 0 + 2\/5*u**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**3 + 8*v**2 + v + 7. Determine z(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in 4\/3, 2, 1\/13, -6\/11?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 52, 58, 78, 118, 184, 282, 418?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1540 + 1542. Which is the nearest to u?  (a) -1  (b) 0  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 710 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Are -401501 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*11*14\/154?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2418 and 60?\nAnswer: 24180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -9*h. Suppose 0 = 4*b, -4*g + 3*b = 4 - 36. Let v(i) = 8 - g + 2*i. Calculate u(v(a)).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/1 + (-97)\/(-49). Let r = 94828 - 94824. Which is the second biggest value?  (a) r  (b) d  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2561776 by -91492.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-3)\/i*i**(2\/7))\/(((i\/(i\/(i\/i**(-2\/7)))*i)\/i)\/(i*i*(i*i\/(i*i*i**(-8)*i))\/i)))\/((i**(1\/6))**39)**(1\/2) assuming i is positive.\nAnswer: i**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -58.9999995 - -59. Round q to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1*(-5 + 3 + -5). Is b less than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -1, 52 in descending order.\nAnswer: 52, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11 and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1420b1 - -b3?\nAnswer: -141eed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + 25431975?\nAnswer: 25431966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + -1. Let d = 69 + -10. Let c = -64 + d. What is the nearest to 0.2 in c, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c - 10. Let g(q) = -11. What is 3*g(p) - 4*y(p)?\nAnswer: -4*p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 382*p - 762*p + 147 + 383*p to x + q*p and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + 12 = -f - 5*y, -2*y = -5*f - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*g - 26 = 2*g, -4*g - 17 - 43 = 5*a - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and -12395.\nAnswer: -4958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10778\/1496 - 1800\/330?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -41, -25, 10, 0, -3, 5 in ascending order.\nAnswer: -41, -25, -3, 0, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(1\/7)\/p)\/(p**(-1)\/p)*p**(-2\/17)\/p**(3\/8) assuming p is positive.\nAnswer: p**(619\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the first derivative of 5*f**4\/4 - 10*f**3\/3 - 5*f**2\/2 + 10*f - 5. Factor n(j).\nAnswer: 5*(j - 2)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/1141 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5532 - 5468. Calculate the remainder when 20351 is divided by k.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 5677 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -3*b**2 - 3*b**3 + 2*b**2 + b - 2*b**3. Suppose 0 = -y + 3. Let k(f) = -f**2 + 2*f + 4. Let t be k(y). Determine h(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-1)\/7 + 1121931\/189?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 4)*(13 + 5 - 18 - 13*i**2).\nAnswer: -39*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 0)*(-7*k + 3*k + 3*k)*(3*k**2 - 7*k**2 + 0*k**2)*((k + 3*k - 5*k)*(-2*k - k + k) + 32*k + 10*k**2 - 32*k).\nAnswer: 48*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -b**3 + 46 - 8*b**3 - 46.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*d**2 - 3137*d + 1043*d + 1047*d + 2*d**2 + 1053*d + 12*d**2.\nAnswer: 18*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is (-9 + 74)\/(-5) + 99884 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 163\/1260 and -1\/1680.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*2*9\/3*(-16)\/16?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -4*w**2 + 4*w - 1. Suppose -3*z - 21 + 33 = 0. Let q be x(z). Let c = -21 - q. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**3 - 3*l**2 - 6*l - 5. Let y(x) = -14*x - 219. Let c be y(-16). Determine h(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6631836?\nAnswer: 2, 3, 17, 19, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 59*q + 617. Calculate the remainder when r(0) is divided by 155.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 903643*w - 15982*w + 335367*w - 80595*w.\nAnswer: 1142433*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2415068, 4830135, 7245206, 9660281, 12075360, 14490443?\n\"Answer: 2*i**2 + 2415061*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Solve 290*k - 273*k - 85 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56541?\nAnswer: 3, 47, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 8128 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -2\/21  (b) 2  (c) 26  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 48317728 and -298.6.\nAnswer: 48317429.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**3 + 4*k**2 - 3*k - 12. List the prime factors of q(7).\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 4*o + 14 = 0, -5*o - 2 = 2*j - 26 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1186035 is divided by 16247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -17\/3, 0.24, 1.7 in increasing order.\nAnswer: -17\/3, 0.24, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0003893674 rounded to 5 decimal places?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -80 - -83. What is the nearest to -2\/7 in 1\/6, v, 1\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/6*2\/2. Let m = 1724 - 1725. Which is the fourth biggest value?  (a) -5  (b) -5\/2  (c) m  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y - 2*x - 97 + 70 = -53, -x + 5 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-48)\/100)\/6*10\/(-6). What is the fourth biggest value in 1\/6, u, -4, -4\/7, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -3*j**2 + 197*j + 7. Let r(h) = -h**2 + 98*h + 3. Give 7*r(t) - 3*u(t).\nAnswer: 2*t**2 + 95*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.6738095 grams?\nAnswer: 0.0006738095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 35243.04 to the nearest 100.\nAnswer: 35200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -3*o - 225, 3*o + 2*i + 140 = -97. Let t = -72 - o. Suppose 4*k + 4*n - 1210 - 438 = 0, 2*n - 2051 = -t*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4472*d - 192 = 4504*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 0*q + 56*q**2 - 3*q + 1 + q + 4*q. Let h be j(-1). What is the highest common factor of h and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b = 26117*c - 26119*c + 1, -c = -3*b - 18 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the third derivative of -o**5\/60 - 3*o**4\/8 + 11*o**3\/3 + 49*o**2 - 1. Factor y(g).\nAnswer: -(g - 2)*(g + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x**3\/5 + 48*x**2\/5 - 158*x\/5 + 108\/5 = 0.\nAnswer: -27, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 4*v + 1. What are the prime factors of (-2)\/(v\/(-3 + 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 3*o**4 - 7*o**3 - o**2 + 7*o - 2 = 0.\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-41)\/(c*c**37))\/(c**42*c**(-17)) assuming c is positive.\nAnswer: c**(-104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 2 w when four letters picked without replacement from {l: 4, p: 6, w: 5}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 + -1. Let i(s) be the first derivative of -1\/5*s**5 + 2 + 0*s**4 - s**2 + 0*s + 0*s**a. Find the second derivative of i(m) wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 12) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1.051+14393\nAnswer: 14394.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/11, -2\/41, -5, -2 in descending order.\nAnswer: 1\/11, -2\/41, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58 = 2*p - 4*n, -390*p + 391*p - 43*n + 562 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*3*(sqrt(3)*1 + sqrt(3))*4)**2 + (sqrt(96)\/(sqrt(8)\/sqrt(4))*-2)**2 + -2.\nAnswer: 62398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (2 + sqrt(832) - sqrt(832)))**2 + -2.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 4 + (1 + 2 - 2)*(10 - 7 - 7))*(-3*t**2 + t**2 + 3*t**2).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -30, -345, -1332, -3375, -6858, -12165, -19680, -29787?\nAnswer: -42870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*u - 20 = 17*u. Suppose 2*c + 4*f - 14 = u, -f = -5*c + 23. Solve 2*m - y + c = -4, -m = 4*y - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(5) + 1 - -4*sqrt(10)\/sqrt(2) - (sqrt(50) - (sqrt(50) + (-4*sqrt(350))\/sqrt(7)))\/sqrt(10).\nAnswer: sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 6*c. Let i = -1 + 1. Let v(u) = u**2 + 1. Let b be v(i). Is c greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the first derivative of 0*j - 1 - 22\/3*j**3 + 2*j**2. What is the second derivative of u(l) wrt l?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11632.\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -223*y - 56*y = 0. Solve y = -i + 144 - 145 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the second derivative of -s**4\/6 - 7*s**3\/2 + 145*s**2\/2 + s + 7. Let v(k) be the first derivative of h(k). Determine v(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -9  (b) 3\/7  (c) 0.2  (d) 2\/9  (e) 0.47  (f) -15  (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 4*x - 26, -6*x + 4*x - s + 8 = 0. Which is the fourth biggest value?  (a) 1\/7  (b) x  (c) 8  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - 7*f. Suppose 4*r - 3*p = 17, f = r - p - 0 - 5. Let s(j) = 4*j**3 + j**2 - j + 3. What are the prime factors of s(r)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.607 + -937.393. Let v = -935.07 - a. Let x = 4 - v. What is x rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 512, 2813, 6894, 12953, 21188, 31797, 44978?\n\"Answer: 33*h**3 + 692*h**2 - 6*h - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a + 1. Let z(p) = 4*p + 20. Let n(g) = 3*o(g) - z(g). Let d(s) = 3*s + 50. Let j(k) = 3*d(k) + 8*n(k). Is j(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 452*b + 8. Let u(k) = -5*k**2 + 74*k. Determine l(u(r)).\nAnswer: -2260*r**2 + 33448*r + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 36?  (a) 0.3  (b) -0.3  (c) 0.59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -8c5e (base 16) in base 3?\nAnswer: -1211021220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16355136 by -170366.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -29 - -13. Let l = 8 + 24. Let n be (120\/k)\/((-6)\/l). What is the greatest common divisor of 100 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 140\/131 - 240949\/225582. Which is bigger: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from scsccc.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 26 in 0.1, 0.777, -1, 4, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5997 and 195?\nAnswer: 389805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 4*p - 31 = 0. Let l = -22 + p. Suppose 0 = -4*h - h - 5*f - 5, 10 = -5*f. Calculate the greatest common factor of h and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*p + 16 = 13*p. Suppose p*o + 50 - 34 = 0. Let j be (o\/(-3))\/((-6)\/(-18)). Solve -2*r + r + 5 = -2*c, 0 = -j*r - 4*c - 16 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 32*m**2 - 10*m**2 + 464*m - 15*m**2 - 10*m**2 in the form x*m**2 + w + r*m and give r.\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**2 - 2*p + 29. Give b(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/(-3 + -3)*2. Let s be (-9)\/(-3) - a*-1949. Suppose 5*r + 3*m - s = 0, 0 = r + 2*r - 3*m - 1176. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 37 = 5*u, 25 = -2*u + 5*u + 2*z. Calculate the greatest common divisor of 63 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 630\/60*(-8)\/6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 252 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*k + 288 = 10*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*g = 45*g + 14404. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1033\/4)\/(28\/16). Let i = 147 - n. Let l(j) = -j**2. Let r be l(0). Is i smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -3*j**2 + 4*j. Let x(z) = -16*z**2 + 22*z. Let t(y) = 33*f(y) - 6*x(y). Let l(c) = 304*c. What is l(t(p))?\nAnswer: -912*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**2 - 12*t**2 + 0 + 0. Let p(v) = 203132827*v**2 + 4 - 4 - 203132822*v**2. Calculate p(n(c)).\nAnswer: 605*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 2*f = -3*f + 8, 2*g + 2*f = 6. Let u(q) = -7*q**2 + 3*q - 2. Let i be u(g). Let d be 2*(15\/i)\/(-5). Which is smaller: -3\/11 or d?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -14 + -c09?\nAnswer: -c1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 - 8 + 4)*(7*i + 2*i + i).\nAnswer: -130*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((-1*sqrt(140))\/sqrt(5) + ((sqrt(112) + 1 - sqrt(112)) + -2)**2).\nAnswer: -4*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 2*i - 5. Let a(z) = z - 9 + 3 + 2*z. Let s = 147 - 144. Suppose s*k + 145 = 127. What is k*f(w) + 5*a(w)?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 11*f**2 + 7*f - 9. Let o(v) = -5*v**2 - 3*v + 4. Suppose -5*a + a = 5*q + 73, 4*q - 4 = 2*a. Let b = a - -9. What is b*k(g) - 7*o(g)?\nAnswer: 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + 3. Let l(m) = 68*m**3 - m + 0 - 12*m**3 + m**2 + i. Is l(1) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 9c - 3?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 8*q - 9. Suppose 5*o + 2*d = 37, -4*o - 3*d + 33 = 2*d. Let n(g) = -7*g + 9. Let u(y) = o*n(y) + 6*m(y). What is the units digit of u(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15340017.\nAnswer: 3, 7, 11, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 - 16*w**2 + w + 16. What is d(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 5201 (base 7) to base 11\nAnswer: 13aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**2\/4 + 27*u\/2 - 24.\nAnswer: -3*(u - 16)*(u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 94 = -4*w - 6, -w - 5*m = -34. Let y = -5 + w. What is the greatest common divisor of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7b (base 12) to base 4.\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.5  (b) -2\/3  (c) 24443\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 = -7*x + 2*x. Let g = -8 - x. Suppose q + 2*q - 30 = 0. What is the highest common divisor of q and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the second derivative of 0*z**2 + 18*z + 0 - 11\/6*z**3. Let h(u) = -u**2. What is h(b(x))?\nAnswer: -121*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -154159354585 plus 5?\nAnswer: -154159354580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -0.2  (c) -0.5  (d) -1.08  (e) -3943\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 62*b**3 + 35*b**2 + 45*b + 17. Let r(t) = -31*t**3 - 18*t**2 - 22*t - 8. Let x(n) = 4*g(n) + 9*r(n). Let o be x(-14). Round o to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*l = 2*o - 17*l - 2, 8*o + 2*l = 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 1 - 3)*(-21*x**4 - x**4 - 39*x**4) + 2*x**4 - 3*x**4 + 0*x**4 in the form h*x + r*x**2 + n*x**3 + o*x**4 + k and give o.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 907\/100 + -73\/25. What is the common denominator of q and -21\/194?\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6050 is divided by 174.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19286 is divided by 9235?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 4*u)*(0*u**3 - u**3 + 2*u**3).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f = -3*f - 20. Let a(i) = i - 4. Let z be a(5). Suppose z + 17 = 3*t. Which is smaller: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7361 greater than or equal to 112\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 47346, 47449, 47552, 47655, 47758, 47861?\n\"Answer: 103*b + 47243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -850*k + 37528. Give r(44).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -d + 4. What is the nearest to -0.5 in d, -3, 2\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 76167 is divided by 424.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 2*n**2\/3 + 424*n + 67416 = 0.\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1434 + 1434.3. Which is the closest to 1?  (a) -1  (b) -2\/5  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (294\/(-28))\/(44835\/210)\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11616)\/135 - ((-1572)\/(-2096))\/((-270)\/16)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -19*d**5 - 3*d**4 - 46*d**3 - 585206*d**2.\nAnswer: -1140*d**2 - 72*d - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 152 + 1?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -6585144.052 to the nearest one thousand.\nAnswer: -6585000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*2*sqrt(117) + (3*sqrt(117)*-3 - sqrt(117)))\/((-2*sqrt(144) - sqrt(9))*-5).\nAnswer: -16*sqrt(13)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6172.083 months in years?\nAnswer: 514.34025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 262 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**2 - 10*r + 16. Let k be l(7). Let u = k - -27. What is the smallest common multiple of 2 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*b + 3*b - 22 = 4*l, -5*b = 4*l + 38 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 46.35 + -46. Let y = -0.34915 + m. Round y to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 146255354 or 146255353?\nAnswer: 146255353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 15, s: 3}. Give prob of sequence ss.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 111122 (base 4) to base 7\nAnswer: 3665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -32*i + 420. Is 16 a factor of h(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3504 - 1991. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126394595 to the power of 1\/2, to the nearest integer?\nAnswer: 11243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the third derivative of 0*f**3 - f**2 + 0 + 0*f - 7\/24*f**4. Let d(w) = w. Determine d(x(c)).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 + o**2 - 2*o + 1. Let j be w(2). Differentiate -5 + 12*p - 9 + 8*p + j*p wrt p.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/(-16) - 1\/(-4). Let l(o) = -o**3 - o**2 + 8. What is the units digit of l(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*n = 31*n + 142904. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in -2\/7, -4\/3, 0, -35?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m**2 - 3*m**2 - m**2)*(0 + 0 + 2) - 3*m - 2*m**2 + 3*m + (0*m + 7*m + m)*(-4 - m + 4) + 2*m**2 + 6*m**2 + 6*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 802.\nAnswer: -2\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 21 + -20. Suppose -4*l = -0*l - 8. Let b be 5\/(-3) - 0\/l. What is the third biggest value in b, w, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -239714 - 6418.\nAnswer: -246132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1097154599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 18\/(-12) - (-9)\/2. Suppose n*x - 4 - 62 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the first derivative of -131*s**5\/120 + 173*s**4\/24 + 2*s**3\/3 + 95*s - 25. Let k(w) be the third derivative of q(w). Differentiate k(l) wrt l.\nAnswer: -131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(24)\/(4*sqrt(36)\/sqrt(3)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the second derivative of j**3 + j + 0*j**2 - 33\/4*j**4 - 5. Factor p(d).\nAnswer: -3*d*(33*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -36106527*y**4 - 675*y**2 + 7722*y - 3?\nAnswer: -866556648*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1854, -1853, -1852, -1851, -1850, -1849?\n\"Answer: i - 1855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-3)*v*v**(-7))\/((v\/v**(-16))\/((v*v*v*v\/(v\/v**1)*v)\/v)) assuming v is positive.\nAnswer: v**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -5*d**2 - 8*d + 7. Let t(h) = 7*h**2 - 4 - 4 - 3*h**2 + 7*h + 2. Calculate 5*s(m) + 6*t(m).\nAnswer: -m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 5195 * 18.6\nAnswer: 96627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.8629203 grams?\nAnswer: 862920.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the second derivative of 43*k**8\/56 - 25*k**4\/6 - 4*k - 8. Find the third derivative of w(p) wrt p.\nAnswer: 5160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 425125.3ml to litres.\nAnswer: 425.1253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**1)\/o**(1\/3))**(-4\/11)*((o**0\/o)\/((o*o**(-2\/13))\/o))\/(((o*(o*o*o*o**(-2\/5))\/o*o*o)\/o*o)\/o*o*o\/(o\/(o**1*o*o*o))) assuming o is positive.\nAnswer: o**(-20002\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (5 - 8) - -6 - 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -29*v + 66 + 21. Suppose 492 = v*z + 3*g, -549 = -5*z + 4*g + 307. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -30*(2\/(-14) - 0). Let k = i + -187\/42. Let q = -0.06 - 0.04. What is the third smallest value in -0.4, k, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 714 + c?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 7640545 (base 10) in base 4?\nAnswer: 131021113201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 668419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (23 - (16 + -2)) + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 - 4. Let c(i) = -i + 47*i - 15 - 41*i. Let a(q) = -3*q + 8. Determine n*a(w) + 6*c(w).\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001016772 to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -241320, -482482, -723332, -963714, -1203472, -1442450, -1680492?\n\"Answer: 26*u**3 - 241344*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -4*y**2. Let l(d) = 36*d**2. Calculate j(l(q)).\nAnswer: -5184*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*u**2 + 6*u**2 - u**2 + (0 + 2 + 0)*(13*u - 25*u + 11*u)*(-96*u - 63*u - 24*u + 20*u) to the form p*u + a*u**2 + s and give a.\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - 4*h + 2*h - 2, -3 = -3*p + 3*h. Suppose -s + 28 = 4*a + 2*s, 3*a - s - 8 = p. Differentiate -a - 3*q**3 + 10*q**3 - 9*q**3 with respect to q.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 + 10212?\nAnswer: 10214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 41 + -29. Solve -4*o + 0*o = g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 2 t when three letters picked without replacement from {o: 1, w: 4, d: 3, n: 1, t: 9}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 5*b**2 - 288*b + 3594. Calculate x(18).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -z**3 + 186729*z**2 - 1493775*z + 1307047 = 0. What is z?\nAnswer: 1, 7, 186721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 614997 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: Factor -25*m**2 - 189076230*m - 37815245.\nAnswer: -5*(m + 7563049)*(5*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**2 - 12*n + 32. What is r(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6*819\/1512)\/((-2)\/(-8)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -2158828 greater than or equal to -2158824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that -n**2\/11 + 13975*n\/11 - 2019034\/11 = 0.\nAnswer: 146, 13829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u - 5*u + 2*u)*(2*u**2 + 2 - 2 + 3*u**2 - 4*u**2 + 3*u**2 + (-6*u + 4*u + u)*(-u + 4*u - 2*u) + (0 + 3 - 1)*(4*u**2 - 3*u + 3*u)).\nAnswer: -33*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -4 + 0 + -76 - -1. Let a = w - -103. Let b be (a\/14 + -2)*-7. Solve 2*j = -b*y + j - 3, -4*y - 5*j = 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from {c: 2, u: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**2 + 6*a + 6. Let i be b(6). Suppose -2*v + 11 = 3*g, -g - v - 14 = -i*g. Suppose g*k = -2*k + 90. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8*i + 12*i - 2*i)*(-2 + 1 + 2) + (4*i - 2*i - i)*(1 + 5 - 4) to m*i + r and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-2\/23)*o**(-1\/3))\/((o\/(o\/(((o*o\/o**6)\/o)\/o)))\/o*o*o**11) assuming o is positive.\nAnswer: o**(-305\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0011329 to five dps.\nAnswer: -0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 75395 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 41145\/(((-45)\/(-10))\/(-3)). Is (-72)\/108 + b\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 10*c - 13. Let n(f) = 7*f - 9. Suppose 5 + 0 = -5*v, 0 = 5*i + 4*v + 29. Give i*j(u) + 7*n(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3.08 + 0.08. Let d = -2.5 - r. What is the second smallest value in 2, 0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/5 + (-98)\/(-5). Suppose 5*i + 0*i = q. Let a be 10\/45 + 372\/27. Solve i*g + a = 3*g + 2*c, 4*c = g + 24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2113184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 52 = -2*q, 2*b + 5*q = -0*q - 18. What is the tens digit of -8*b\/4 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(56) + 1*sqrt(56)*5)\/sqrt(8) - (3*(sqrt(112) + -2) - sqrt(112))**2.\nAnswer: -484 + 102*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, i: 7, u: 1, e: 2, d: 3}. Give prob of sequence de.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 298 = 10*o + 38. Let n(h) = h**3 - h + 8. What is the smallest common multiple of o and n(0)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/5)\/(321\/(-436560)*34).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n. Let j(b) = -15*b**2 + 13. Let r(v) = 2*v**2 - 1. Let u(q) = -j(q) - 6*r(q). Determine o(u(a)).\nAnswer: 3*a**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - -5)*(1 - 2)*180\/40.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = 4*q - 0*m + 351, 0 = m - 1. Let t be 5300\/16 - 4*1\/16. Let b = t + q. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/15525 and 35\/9.\nAnswer: 15525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 41*j + 309. Calculate o(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1075575 is divided by 1418?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 246 - 196. What is the remainder when 199 is divided by x?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/((-25)\/14))\/(16\/560*7)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8415 and 1122.\nAnswer: 16830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6\/5 + -17\/10. Which is the closest to 0?  (a) -3\/110  (b) i  (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**3 + k**2 - 1229*k - 7199. Determine g(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Convert -113001 (base 4) to base 11.\nAnswer: -111a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11 + 7.7. Let k = -53.3 + g. Let f = k + 57. What is the closest to 1 in f, -1, 1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 443184 - 701123. Let n = y - -257938.7699955. Let q = n + 0.23. What is q rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 38*p**2 + 2*p - 12*p**2 - 9 - 23*p**2 to the form m + z*p**2 + y*p and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((u\/(u**(4\/3)*u*u))\/u**1)\/((u\/(u\/(u*u**1*u)*u)*u)\/u)**(1\/7))**(-35))**(5\/7) assuming u is positive.\nAnswer: u**(1900\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 14627?  (a) 3  (b) -4  (c) -0.4  (d) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 19920 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h**2\/12 - 2236*h\/3 - 42000 = 0. What is h?\nAnswer: -56, 9000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 148\/32*4*6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*i + 2*i**2 + 357*i**3 + 5*i**2 + 11*i - 7*i**2.\nAnswer: 357*i**3 - 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -418759.94 rounded to the nearest one thousand?\nAnswer: -419000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -11076*u**5 + 18*u + 387 wrt u.\nAnswer: -221520*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*q - 4*q + 3*q)*(-q + 3*q - q + (-2 + 2 + 2*q)*(-3 + 2 + 0)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 2, b: 3, l: 3, f: 1, y: 4, w: 4}. Give prob of picking 1 w, 1 b, and 1 f.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -4*g. Let d(h) = -h - 61 + 31 + 8*h + 23 + 2*h. What is d(y(r))?\nAnswer: -36*r - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 230919 and 255138?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**3 + 2*i**2 + i + 4. Let p be o(3). Let u be 3 - (-17)\/10*p. Let v = 81 + -889\/11. What is the third smallest value in u, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8 and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 48724 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -3*o**3 + 3*o**2 + 3*o - 1. Let q be b(3). Sort 4, 5, q, -3 in ascending order.\nAnswer: q, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3501*y = -3078*y - 7614 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*x - x + 14. Let q = -0.0978 + -0.1022. Which is bigger: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 53 = -y, 2*y = -6 - 0. Let s = r - -27. Is (29 + -27)\/(s\/(58\/1)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 688dc74 - 0?\nAnswer: 688dc74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -8*h - 12. Let i be u(-2). Suppose 3*m = -i*o - 25, -4*o + 5*o - 27 = 4*m. Is 0.3 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2, -11, -48, -121, -242?\n\"Answer: -2*c**3 + c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -817701*k + 819690 wrt k?\nAnswer: -817701","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3*(-16)\/(-12)*3\/12. What is the third smallest value in -5, u, 3, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1, 7, 27, 65, 127, 219, 347, 517?\nAnswer: 735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 438611461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -443.\nAnswer: -1\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -55\/147 + 2\/49. Which is the nearest to v?  (a) -3\/2  (b) -1  (c) -0.059\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -166, -295, -416, -523, -610, -671, -700, -691?\nAnswer: -638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 179.9 + -180. Sort 5\/4, k, -5, -0.09.\nAnswer: -5, k, -0.09, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + 2*r**2)*(3 - 5 + 5)*(2*r - 43*r + 2*r) to t*r**2 + f*r**3 + y*r + m and give f.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 267 and 1562128?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 22730?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 68*b + 165 - 330*b + 132 - 412*b.\nAnswer: -674*b + 297","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 5*j - 122. Let a be s(23). Let y(h) = h**3 + 15*h**2 - 6*h - 25. What are the prime factors of y(a)?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 52\/(-12) + 5 + (-154)\/(-147).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -225*o + 9371 = 4646 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 2*z = -2 - 4, 3*z - 10 = f. Let h = 2 - 0. Let s(r) = -12*r. Let x be s(-1). Solve -f*o + x = h*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes after 4:36 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3903359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1224?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 4*m + 3. Let z be q(6). Solve 3*o - 3*j - z = 0, -4*j = -5*j - 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 2 + 10 = 0. Suppose 5*c - 24 = -h. Solve -2*i = -c*v + 3 - 17, 4 = v - 3*i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 54 - (-431 - -430 - ((-10 - 2) + -1)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddddhddd. What is prob of picking 3 d and 1 h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*q**3 - 28*q + 11*q - q**4 + 20*q + 8*q**3 - 4 + 16*q as b + w*q**2 + u*q**4 + v*q**3 + f*q and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -41061.513257 + 8900.813265. Let r = -32161 - c. Let o = 0.3 + r. Round o to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 - -10. Suppose 0*d + b = d. Suppose 0 = 45*q + 5*q - 100. Solve 11 = -d*x + q*o, 3*o - 2 - 4 = 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -96984 divided by -32328.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -98814*h + 98814*h - 8*h**3.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 5*l**3 - 6*l**2 - 6. Let b(p) = 11*p**3 - 13*p**2 - 13. Let m = 24 - 11. Calculate m*v(q) - 6*b(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13085 is divided by 409.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/63)\/((-6)\/(-7))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*u**2 - 7*u + 89*u**3 - 11*u**2 + 7*u + 14*u**3.\nAnswer: 103*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.0488 - -2.0588. Round q to one dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 45, 2, -579, 51 in increasing order.\nAnswer: -579, 2, 45, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 152 divide 18613616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 18 and 82834410.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 41360343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -11*j**3 - 51*j**2 + 69*j - 19. Give d(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 495 (base 11) in base 14?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 180959 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.049, 22, 5, -18145?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the second derivative of f**8\/28 - 34*f**6\/15 - 247*f**4\/4 + 7*f + 58. What is the third derivative of b(k) wrt k?\nAnswer: 240*k**3 - 1632*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i + 2*c = 2*i, 3*i - 3 = 3*c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - z - 64 = 0. Suppose z = 5*u + g, -5*g = 7*u - 9*u + 28. Suppose u*y = 233 - 65. Calculate the greatest common divisor of y and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**2*i)**(2\/73)\/(i*i**(4\/3))**(-10\/3) assuming i is positive.\nAnswer: i**(5164\/657)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 150373.2l to millilitres.\nAnswer: 150373200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(70)\/(sqrt(1440)*2 - sqrt(1440)).\nAnswer: sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 1)*(2 - 2 + d) - 122 + 122 - 23*d.\nAnswer: -26*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uzbb. Give prob of sequence bb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + 44\/(-8))*16\/(-18)*-3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -1\/4  (b) -0.3  (c) 3.37  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the first derivative of h**3 - 17*h**2\/2 - 6*h + 3. Let g be m(10). Let k = 233 - g. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 834.79 - 16966\nAnswer: -16131.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -83.021 + 44.95432.\nAnswer: -38.06668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 168*h - 5. Let i be 32\/(-8)*(-3)\/6. Is p(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - j + 30 = -2*t, -t + 10 = -4*j. Suppose -t*u + 5*u + 17859 = -z, -7158 = -2*u + 4*z. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hxxvh. What is prob of sequence hvx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2027, 4073, 6133, 8213, 10319?\nAnswer: 12457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16\/((-64)\/84))\/((-1)\/2*-2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4 * -0.1649\nAnswer: -0.6596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -8*p + 2. Let t(o) = 9*o - 1. What is 3*r(k) + 2*t(k)?\nAnswer: -6*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3599?\nAnswer: 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*t - 4 + 4)*(2 + 0 - 4)*(t**2 - 2*t + 2*t).\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, 3\/11, -3 in descending order.\nAnswer: 3\/11, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*y - 138 = -285 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 8 = -2*m, 242 = 4*r - m. Suppose -x + 5*b - r = -5*x, -63 = -3*x + 2*b. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 186.4586, 5, 18, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 26*d**2. Let i(l) be the first derivative of 33*l - 11 - 15*l - l**2 - 18*l. Calculate i(c(m)).\nAnswer: -52*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 76 - 147. Let t = a + 125. Suppose 4*z - 30 - t = 0. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 159414*n**3 + 20763592*n**2 + 682979870*n + 446138884.\nAnswer: 2*(3*n + 2)*(163*n + 10561)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 82916?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 245944*c**4*n**2 + 19738*c**2*n**2 wrt c.\nAnswer: 5902656*c*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4370 + -4?\nAnswer: 4365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 168\/32373883 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -42 + 82. Suppose 2*a = -3*j + 4*j - v, 25 = 5*a. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 29*b**2 + 17*b - 23. Let s(w) = -2*w**2 - 13*w - 5. Let q be s(-5). Is c(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes after 8:06 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 127297251 + -192987251. What is m rounded to the nearest 1000000?\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 318 and 2?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 354*t. Let g(x) = -18681*x. Determine g(c(b)).\nAnswer: -6613074*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 1 = 3*a, -5*a + r - 11 = -8*a. Let m(n) = -3*n**2 + n + 3. Let l(o) = -o**2 + o + 1. Give a*m(x) - 5*l(x).\nAnswer: -x**2 - 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -8285994, -16571983, -24857972?\n\"Answer: -8285989*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11208.\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 11.06105 and 0.4?\nAnswer: 4.42442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 620467949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1023 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -26*w + 40*w - 1258. What is the remainder when w is divided by 30?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 495*l**3 + 11*l**2 - 1747. Let p(z) = 248*z**3 + 6*z**2 - 875. Let r(g) = 11*p(g) - 6*s(g). Differentiate r(v) wrt v.\nAnswer: -726*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -j - 4*j - 2, -3*q + 6 = -4*j. Calculate the greatest common factor of 8 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11011000 + -1110110?\nAnswer: 1100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.51083555 to one decimal place.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 26 + -24. Solve -l*m + 9 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -4*x - 1832, -17*a + 15*a + 3*x = -918. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -48 + 134. Suppose -21 = 5*h - z. Calculate the highest common divisor of h and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 2*c**2 + 2*c - 8. Let q(l) be the second derivative of -l**4\/6 - l**3\/3 + 7*l**2\/2 - 11*l. Let b(i) = -6*f(i) - 7*q(i). Determine b(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -7*a - 10. Let y(z) = 3*z + 5. Let t(h) = -6*i(h) - 13*y(h). Suppose b + 2*m = 0, 3*b - 2*m + 1 - 17 = 0. Let q(p) = -4*p + 6. Give b*q(w) + 5*t(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 25 + -22. Suppose k*b - 22 = -h, -2*b - 2*b + 3*h + 12 = 0. List the prime factors of b\/(-15) - 831\/(-15).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -23.8172 + -0.4788. What is i rounded to 0 dps?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = -4*t + 64, 5*t + 0*c - 76 = -4*c. Suppose 4*b = -t - 0. Let p = -30 + 31. Sort b, p, -5 in decreasing order.\nAnswer: p, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(2\/61)*p)\/((p\/p**(-15\/7))\/p*p))\/(p**5\/p*p**(-41)) assuming p is positive.\nAnswer: p**(14898\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, b: 3}. What is prob of sequence bi?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.13, -33, -1, 2.4?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9206 = -39*q + 5887. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = 4*q - 61. Suppose q*g + 25 = 2*j + 3*g, g + 5 = 0. Solve -8 = 4*o - j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*f = 923 - 383 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 80 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 64.7239 tonnes?\nAnswer: 64723900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/18*(-9 - -11). Let f = -0.41 - 0.09. What is the second smallest value in d, -1\/3, f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 158 = -2*m, 4*z - 207 = -m - 46. Suppose -j = -0*j + v - 11, -z = -3*j + 4*v. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - b = 3*w + 1, 0 = w + 1. Let c be ((-55)\/(-33))\/(b\/(-3)). Solve 5*k - f - c = 3*k, -3*k = 5*f + 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -373465872 at most -373465873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l\/(l\/(l*((l*(l*(l\/(l\/(l\/l**13))*l)\/l)\/l)\/l)\/l*l)))\/l*l**6)\/(l**(-2\/15)\/l*l**(-1\/3)))**(-3\/11) assuming l is positive.\nAnswer: l**(68\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*a + 3*g - 9 = -8*a, a + 3*g - 9 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5280\/7 + -754. Let i = 977 + -980. Which is the third smallest value?  (a) y  (b) 3  (c) -1\/6  (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 344874 and 11.\nAnswer: 3793614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x + 4. Let q be r(3). Let t be q\/((-6)\/(-4)) + 3560\/15. Let d = t - 123. What are the prime factors of d?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.3 or 15578?\nAnswer: 15578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6.1 or 1499547?\nAnswer: 1499547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q = 2*t + 14, 3*q = 4*t + 2439 - 2399 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 + 11 = 4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/5*w**3 - 1\/5*w**5 - 1\/5 + 3\/5*w**4 - 2\/5*w**2 + 3\/5*w.\nAnswer: -(w - 1)**4*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (690*i + 135*i + 3*i)*(-5*i + 5*i + 2*i**2) to the form b*i**3 + x + y*i + o*i**2 and give b.\nAnswer: 1656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y + 3*y - 3*y)*(3472 - 7*y - 1735 - 1757).\nAnswer: -14*y**2 - 40*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 56567, 56559, 56537, 56495, 56427, 56327, 56189, 56007?\nAnswer: 55775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 194631 is divided by 2463.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -120 - -124. Suppose -3*k - d*j + j + 15 = 0, k + 2*j - 7 = 0. Solve -k*s + 5*s = -2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r + 28 - 80. Let i(o) = o**3 - 6*o**2 + 11*o + 11. What is the remainder when i(6) is divided by r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 - l + (-4*l + 3*l + 3*l)*(5 - 4 + 0) + 17*l + 14 - 14.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from {a: 8, d: 1, t: 11}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*j + 12 = -d + 5*j, -4 = j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -42*g + 34. Determine o(-2).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -4*w, 5*f - 2*w = -0*f + 105. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * 117.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 6 + 6*g)*(4*g**2 - 3*g**2 + 0*g**2) - 3*g**3 + 47*g**3 - 4*g**2 - 32*g**3.\nAnswer: 18*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*w - 12 = 22*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 13) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 111, 217, 321, 423, 523, 621, 717?\n\"Answer: -y**2 + 109*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -14*1\/(-2) - 3. Is v + -1*(4 - (-1786)\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 51, -1, 47, -64, 2 in increasing order.\nAnswer: -64, -1, 2, 4, 47, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/2, -49, -1551?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 16 + -3 + -8 - (0 - -18)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) -2\/47  (b) 5  (c) 148  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/4 less than or equal to -6\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -39*c - 609. What is o(-16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**6*(g\/((g\/(g\/g**5))\/g))\/g)\/((g\/((g\/(g\/(g**4*g)*g))\/g))\/(g*g*g**(3\/2))))**(-7) assuming g is positive.\nAnswer: g**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.21220921 + -1.6.\nAnswer: -2.81220921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-30 - 37 + 168)*(22*f - 21*f - 50*f).\nAnswer: -4949*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2863627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.14, -3\/4, 12, 3\/28, 0.3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -9761.\nAnswer: -2\/9761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-12)*(-36)\/24*2*(-1944)\/126.\nAnswer: -54\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1610, -3304, -5018, -6752, -8506?\n\"Answer: -10*i**2 - 1664*i + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1855893 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3b2 - 1bb08?\nAnswer: -1beba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 + (23 - 37) - (-7 - (-1 + -1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 - -3. Let g = 7 - s. Let p(b) = 3 - 20*b**2 + 0*b + 25*b**2 - 5*b - b**3. What is p(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 18019, 18009, 17993, 17971?\n\"Answer: -3*l**2 - l + 18023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the first derivative of -b**6\/15 - 12*b**5\/25 + 18*b**4\/5 - 16*b**3\/3 + 306. Let l(i) = 0. What is i?\nAnswer: -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/15*(-2 - -7). Suppose 3*b + 252 = s*h + 5*b, -111 = -h - 4*b. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010000011 + -1000001?\nAnswer: 1001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 7*f**2. Let c be p(-1). Let u be (-8 - -4)\/1 + c. Let b(n) = 1 - 2*n + u + 0*n - 2. Give b(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -40520\/23039 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -37*s**3 + 4*s**2 - 723*s?\nAnswer: -222*s + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -51 + 72. Let d = -21 + j. Suppose n = -3, s - 3*s - 4*n + 126 = d. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 694*s - 151*s + 10876 + 4328 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**2 + 4*v - 2. Let w(q) = q**2 - 4*q + 2. Let k(r) = -3*d(r) - 2*w(r). Let n be k(4). Solve 0 = -4*h + 4*u + 28, -7 + 1 = -2*h - n*u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-68)\/187)\/(4\/(-22))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18858 is divided by 39?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 538*f - 1151*f - 540 = -603*f for f.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 23609516 - 15.21.\nAnswer: 23609500.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2094301 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 199, 196, 193?\n\"Answer: -3*v + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1581 plus 2.63?\nAnswer: -1578.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -25824, -25836, -25848, -25860, -25872?\n\"Answer: -12*r - 25812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -5*b + 336, -304 = -5*b + 4*w - 8*w. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1909 + -1835. What is the remainder when q is divided by 1 - (3\/(-3) - 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -169\/80460 and 3\/7247062.\nAnswer: 1956706740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2\/20641 - 2373667\/495384. Let h = 37\/286 - -18893\/4290. Find the common denominator of h and q.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the second derivative of 0*p**6 + 0*p**5 + 0*p**2 + 0 + 2*p + 0*p**4 - 2*p**3 - 1\/42*p**7. Find the second derivative of q(w) wrt w.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17)\/(51\/2)*(-30)\/(-20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -820 by 3.\nAnswer: -820\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/222 and -8\/21.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 4, h: 5, p: 1}. Give prob of picking 3 b and 1 p.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -429*a**2 - 3*a**3 - 5*a - 2 - 36*a + 429*a**2 as c + z*a**2 + s*a**3 + h*a and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -183 + 207. What is the remainder when 115 is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -833\/4 - -437\/2. Let q = w - 279\/28. Let x(h) = h**2 - 1. Let f be x(-1). Is q bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (8 + -8 - -8 - 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0.3  (b) -3  (c) 35  (d) -0.5  (e) 9.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes before 1:56 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (40\/15)\/(6\/(-99)). Let g = q - -71. Suppose 2*h - m = 27, 5*h + 4*m - 10 = 25. What is the smallest common multiple of g and h?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1590 and 672729.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -268 + 366. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 2*h**2 + 16*h - 34. Let l be f(-10). Let w be (-5)\/2*(l - 3 - 1). Sort -2, -8, w in descending order.\nAnswer: -2, w, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -4*h**2 + 2*h + 18. Calculate the remainder when 85 is divided by m(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 25 by 17.\nAnswer: 25\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*h**3*x**3 + 59*h**3*x - 6*h**2*x - 146*h*x**3 + 2*h*x wrt x.\nAnswer: 12*h**3*x - 876*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 36, 2, -13 in decreasing order.\nAnswer: 36, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 305 = -3*o, -8*o + 206 = -6*o - 2*d. What is the second derivative of o*z**4 - 3*z + 84*z**4 - 21 + 23 - 39*z wrt z?\nAnswer: 2220*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4dfe4 (base 16) in base 7?\nAnswer: 2500241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 35036819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14 - 16. Let x(j) = 3*j**2 - 17*j - 7. Let h be x(6). Put z, 1, h, 4 in descending order.\nAnswer: 4, 1, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(224)\/(sqrt(28)\/(-2*sqrt(7))))\/(sqrt(128)*1))*2.\nAnswer: -sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (70\/7056)\/(2340\/2496)\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 42 - 40. Suppose k*x - 2 = y, 3*y + 3 = -2*x + 5*x. Suppose 3*b = 2*z - 57, y = -3*b + 4 - 1. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 2*a - 15. Let h be l(11). Suppose -2*o + j = -47 + 6, -h = o + 5*j. Calculate the remainder when o is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -351456 at least as big as -351456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1*2 + (-36)\/(-14). Let t = -0.7 + 0.3. Sort t, 2, c in ascending order.\nAnswer: t, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 2*v - 2*u = 0, -v - 4*u + 6 = 0. Let k = -2 - v. Calculate the lowest common multiple of 2 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(-2\/5)*y)\/y**(2\/3)*y**(-3\/2)*y*y**5 assuming y is positive.\nAnswer: y**(163\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4104442km to nanometers.\nAnswer: 410444200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*j + 6*t + 10, 3*j - 62*t = -26*t - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/126?  (a) 5  (b) 2\/59  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**2 - 12. Let r(l) = 6*l**2. Let n(j) = -j**2. Let i(o) = 5*n(o) + r(o). What is v(i(b))?\nAnswer: b**4 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -57042, -5, -78.\nAnswer: -57042, -78, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**2 + 4*r. Let d(x) = -x**2 - 5*x + 1. Let a(b) = 4*d(b) + 3*h(b). Let o(w) be the first derivative of a(w). What is the tens digit of o(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -39.0169 + -0.0831. Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-12)*29\/58)\/(18\/(-702))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the first derivative of 34 + 0*t - 5\/12*t**3 + 5\/4*t**2 - 5\/16*t**4. Let b(j) = 0. Calculate j.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**2 - 6*z - 3. Let m(n) = -2*n - 14. Let h be m(-5). Give w(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1873.\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8052 - 463*z - 8052.\nAnswer: -463*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1748466 is divided by 291262?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 8*q**2 + 213*q - 65. Let t be h(-27). Solve -j = 3*j + t, -2*j = 5*r + 18 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -36 - -29. Let n(t) = -t**3 - 7*t**2 - 5*t + 1. Let w be n(a). What is the common denominator of (219\/(-28))\/(w\/(-24)) and -17\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 23936593 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.01?  (a) 0.22  (b) 6  (c) 3\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -3*v - 2. Let a be (-23 + 3)*v*1. Suppose -54 = -3*r - 4*t, 4*r = r - 2*t + a. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1246*w**2 - 4*w - 12 + 4*w + 1263*w**2 wrt w?\nAnswer: 34*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5278, 5280, 5282, 5284, 5286?\nAnswer: 5288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -18824\/93 or -3?\nAnswer: -18824\/93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.4, -5, 5, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (28\/(-12))\/(1\/6). Let a(h) = -4 - 6 - 4 + 8 - h. Let w be a(v). Is w at most as big as 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*i - 991 + 109 = 170*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 60*v**2 + 12*v - 12. Let p(b) = -24*b**2 - 5*b + 5. Give -12*p(m) - 5*z(m).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h + 5*i + 180, 2*h = -h + 2*i - 83. Let a = -27 - h. Solve -c - 6*o + 7*o = 0, 3*c - 21 = -a*o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddmmdddmdmmmmmmdtdm. What is prob of picking 3 d?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**2 - 1080*m + 4329. Determine x(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 4*o - 1258 = 0, -2*o = 11 - 5. Let z = -6939 + 13387\/2. Let i = t + z. Find the common denominator of -87\/4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -259 equal to -258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -152455 times 1.303\nAnswer: -198648.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 4, -29 in ascending order.\nAnswer: -29, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3159609 = 84*i - 1752459. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -30*u**3 - 28*u**2 + 6*u + 224. Let y(r) = 10*r**3 + 9*r**2 - 2*r - 71. Calculate -6*g(h) - 19*y(h).\nAnswer: -10*h**3 - 3*h**2 + 2*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to -7475288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the first derivative of 3*o**2\/2 - 6*o + 179. Calculate p(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**3 - 5*i**2 + 3. Let z be t(5). Suppose 6 = d + q, z*q + 42 = 3*d - 2*q. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gz when two letters picked without replacement from zgzgzgggggggzg?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -15205, -30408, -45611, -60814?\n\"Answer: -15203*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**3 + 2*c**2 + 633*c - 1263. Determine n(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llhaiaiiakklililli. What is prob of picking 2 i, 1 l, and 1 k?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 180091600 is divided by 903.\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*o - 5844 - 25431 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the second derivative of 0*f**4 - 3*f + 0 + 1\/6*f**3 + 1\/20*f**5 + 0*f**2. What is the second derivative of c(t) wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -288a (base 12) to base 3.\nAnswer: -20110121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -39 - (-28 - -39 - 14).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do -550572802 and -550572803 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 - 26 - 14*k + 178 + 9*k + 7*k.\nAnswer: 2*k + 173","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 times 0.42\nAnswer: -0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qgn when three letters picked without replacement from clgwwlqn?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u - 31 = -4*k, -30*u + 27*u - 3*k = 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1911 + 0*j**3 - 4*j**3 + 1911.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14454*a + 508208 = -1168456 for a.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**3 - 11*v + 7. Let b be o(3). Put 0, b, -1, -3 in increasing order.\nAnswer: -3, -1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2748576 is divided by 1060?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -63*w**2 - 66*w**2 + 137*w**2 - 7*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 47\/105 - 1\/21. Let j = 0.05 + 0.15. Let x be (-2)\/((-1)\/(1\/17)). Which is the closest to p?  (a) j  (b) x  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/53 and 2 + (1012\/99 - (-2 - -7))?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-37 + 7 - o + 23)*(-1 + 2 + 0) to the form j + n*o and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -167 + 250 - 365 + 258 + 6*s.\nAnswer: 6*s - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 271*v - 2706. What is t(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 36727\/80 - 460. What is the common denominator of h and -109\/640?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 169 + -183. Let y(z) be the first derivative of -9*z**2\/2 - 7*z - 1. Let w(x) = -29*x - 45 + 32*x + 15 + 14 + 18. What is k*w(f) - 4*y(f)?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2 + 534 - ((-9)\/(-1) - 5). Calculate the greatest common factor of 33 and a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6624948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.92 + 0.08. Let u(g) = -g + 2. Let o be u(-6). Let n be -6*(o\/(-3))\/4. Which is the closest to 0.1?  (a) -4  (b) d  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.05 - 6.95. Let h = k + 6.99994. What is h rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 28*d**2 - 74*d**2 + 34*d**2 - 185*d - 4.\nAnswer: -12*d**2 - 185*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 3*p - 9. Suppose -u + 3 + 1 = 0. Let r(b) = -8*b + 26. Suppose 2*t = 4*h + 14, -7*t + 52 = -3*t + 4*h. Calculate t*i(n) + u*r(n).\nAnswer: n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 375431 to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 21*r**3 + 3*r**2 - 9*r. Let p(j) = -5*j**3 - j**2 + 2*j. Let u = -13 - -11. Let v(g) = u*t(g) - 9*p(g). Find the third derivative of v(l) wrt l.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 55630474.\nAnswer: 2, 27815237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(6*sqrt(363)*1 + 3))**2*-4.\nAnswer: -1883088 - 57024*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 2*r - 100, 10*k = 11*k - r - 52. Solve -k = -15*u + 24 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*p + 3*p - 4*p)*(-3*p**2 + p**2 + 3*p**2) + 2 - 2 + 2*p**3 + p**3 - 2*p + 2*p.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (23\/46)\/((-240)\/96).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 58 - -1?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*u**2 - 29*u**2 + 38*u**2 - 14*u**2.\nAnswer: -22*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12824, 14081, 15338, 16595, 17852?\nAnswer: 19109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 31772783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**2 + 28*a + 229. Let c be m(-7). What is the highest common factor of 12218 and c?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 543 by 3.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2035 + 3065 = 340*t for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9086595.\nAnswer: 3, 5, 7, 86539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 12 - 3. Suppose -l*a + 6*a - 4*y = 23, 3*y = a - 11. What is the remainder when 19 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 + 2 + 5 + 2. Suppose p = 3*x - 4. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.08 less than -5.23?\nAnswer: -5.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 6 - 9524?\nAnswer: -9519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-528)\/(-792))\/(38\/(-6)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -332*p + 21. Determine k(-1).\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from waljkwwaljjwoawowaoa. Give prob of sequence kww.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 2*o)*(2*o**2 - 2*o**2 + 2*o**2) + (1 - 2*o - 1)*(-5*o**2 + 8*o**2 + 6*o**2).\nAnswer: -14*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1028 is divided by 176.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 3*b + b - 3*b**2 - 4*b. Let z(c) = -4*c - 3*c + 4*c. Determine z(g(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(6\/1))\/(-139*(-29)\/(-507906))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(1\/2)*f)\/(f*f**(2\/7)))\/(f**(1\/5)\/f**2) assuming f is positive.\nAnswer: f**(211\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -27 - -15. Is (-6)\/(-4)*(-1192)\/s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-3)*(-3)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 14*((-5)\/(-2) + -2). Suppose -n - z + 106 = 0, d*n - 4*n - 318 = -4*z. What are the prime factors of n?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*o + 73 - 35 - 38.\nAnswer: 29*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 18*f**3 - 12*f**2 + 15*f + 96. What is t(-4)?\nAnswer: -1308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -487*o + 489*o + 5*q = 4, 5*o + 13 = -q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1*3)\/(3\/4). Suppose -r*b + 2*d + 28 = 6*d, -3*b - 5*d + 31 = 0. Let g(z) = 8*z**2 + 2*z - 2. Is 32 a factor of g(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 437714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 6 = -6*s. Let d be s\/4 + (-1)\/4. Which is the second smallest value?  (a) 5  (b) 0  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhhh. What is prob of sequence hh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*l*l**(-28)\/l*l**29 assuming l is positive.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - n)*(n - 2*n - n)*(35 + 45 - 21).\nAnswer: 118*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 7*x**2 + 13*x + 3. Let b(y) = 4*y**2 + 7*y + 2. Let h(z) = -5*b(z) + 3*j(z). What is h(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1101 (base 2) to base 6.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -78 - 2*n**3 - 49 + n**3 + 84 to the form s*n**3 + b*n**2 + i + r*n and give i.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22671518 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - 140?\nAnswer: -13f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the second derivative of 0*u**3 - 1\/4*u**4 - u**2 + 2*u - 1\/10*u**5 + 0. Is 13 a factor of v(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the third derivative of 1\/4*d**4 - d**2 + 0 + 0*d**3 + 11\/60*d**5 + 0*d. What is the second derivative of i(p) wrt p?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 - 77*x**2 - 112*x + 3102. Calculate q(-75).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3314004322.\nAnswer: 2, 761, 2177401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 103559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 139 divide 36304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -12*z + 130. Let p be n(12). Let x be (p\/(-70))\/((-2)\/4). Put 4, x, 54 in decreasing order.\nAnswer: 54, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**3 + 386*h**2 - 4440*h + 9792.\nAnswer: 2*(h - 8)*(h - 3)*(h + 204)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -3652 (base 8) in base 14?\nAnswer: -a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes after 11:03 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 273 - 13*n**3 - 23*n**3 - 274 to the form t + v*n**2 + g*n + r*n**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + 5. Let w = 4.4 - d. What is the nearest to 2 in -2, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 2*l**3 + 6*l**2. Let s(k) = -75*k**3 + 185*k**2 + 1640*k + 1620. Let r(p) = s(p) + 40*x(p). Factor r(c).\nAnswer: 5*(c + 2)**2*(c + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 9344910 + -13?\nAnswer: 9344897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -32*l**2 + 189*l + 4. Let v(y) = 41*y**2 - 192*y - 5. Determine 5*o(c) + 4*v(c).\nAnswer: 4*c**2 + 177*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 147672.6g in micrograms?\nAnswer: 147672600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 364 - 445?\nAnswer: -c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00007438 rounded to six decimal places?\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 50367.1 days in hours?\nAnswer: 1208810.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 25970 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: Suppose 148 = 5*p - 57. Suppose 3 - 1 = 2*j. Let y = 15 - j. Calculate the remainder when p is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 12 - (-2 + -3 + (-132)\/(-55))*-2. Factor 2\/5*z**2 + 12 + y*z.\nAnswer: 2*(z + 2)*(z + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -92 + 94. Suppose o*w - 77 = -63. Calculate the highest common divisor of 63 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -2312*r - 545634. Determine l(-236).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from dct.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-2 + sqrt(343) + -4)**2.\nAnswer: -336*sqrt(7) + 1516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5174152 divided by -5128.\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 324344 + -43?\nAnswer: 324301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 116*z**3 - 1 - z**4 - 116*z**3 - 3*z + 2*z**2 to the form c*z**2 + m*z**3 + b*z + h*z**4 + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.9 + -1. Let t = 0.3 - -0.7. Let j = -1.4 + t. What is the third smallest value in -1, h, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 6 + 4)*(-6*r + 5*r + 3*r)*(-1 + 1 - 4).\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + 39 = 5*v, 43 + 36 = 4*v + 3*t + 50 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 25 - 45 + 9 + 11 - 2607*t to g + b*t and give b.\nAnswer: -2607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 5 + -1 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -17*j**2. Let t(q) = -1255*q + 58. Calculate t(d(k)).\nAnswer: 21335*k**2 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, 651, -5, -2.\nAnswer: -5, -2, -1, 3, 651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -871\/4 or -217?\nAnswer: -871\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 513282.\nAnswer: 2, 3, 7, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1607437542.\nAnswer: 2, 3, 179, 821, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 50987449837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/(-10))\/(20\/50)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -56*z - 47. Let x be p(-9). Let r = x + -306. Is r a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2 + 6*v + 5. Let k be u(-6). Sort 7, k, -5 in descending order.\nAnswer: 7, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106*n - 60*n - 2716576 = 0. What is the thousands digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -9\/2 + 1\/4*b**2 + 7\/4*b = 0. What is b?\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3 + -3 - 1\/(-4). Factor 0*m**2 + 1\/4*m**4 - 1\/2*m**3 - q + 1\/2*m.\nAnswer: (m - 1)**3*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 4*n**2 - 8*n - 7. Let u(b) = b**2 - b. Let c(d) = -p(d) + 3*u(d). Determine c(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -350.7 and -0.058842728939?\nAnswer: 350.641157271061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 176609565 to the power of 1\/2, to the nearest integer?\nAnswer: 13289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 10199963927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -174.31 to the nearest integer.\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7546 is divided by 43?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 102414 + -12?\nAnswer: 102402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add -113889585449433 and 4.\nAnswer: -113889585449429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 - 7 - -1 - -8 - -18?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - 25*c + 22*c = 10, 3*j - 1 = c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f**2\/7 - 25028*f\/7 - 200096\/7 = 0 for f.\nAnswer: -12506, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 - -2.2. Let z = -2.6 + 7.5. Let d = z - 0.9. What is the third biggest value in d, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5*99097.\nAnswer: -49548.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 123 and 247305.\nAnswer: 10139505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*j - 5*j + 3*j + 2*j**3 + 5.\nAnswer: 2*j**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20 + -15. Let t = -325 - -324.8. Let s be (-4 - -1)*2\/9. Which is the nearest to q?  (a) t  (b) s  (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 0.5, 3, 2\/23, 2\/59 in descending order.\nAnswer: 3, 0.5, 2\/23, 2\/59, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13 - 19. Let z(m) = 490*m + 5. Let r be z(h). Let c = 11821\/4 + r. Calculate the common denominator of c and 43\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + 980 = 4*t + 6*q + 979, t - 9 = -3*q for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-64)\/126 - (-2)\/7. Let n = 4 - 0. Sort -5, u, n.\nAnswer: -5, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 o when two letters picked without replacement from oyyyommyyo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1529727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 + 7. Suppose z = -w + 5*w. Let 2\/7*f**4 - 2\/7*f**2 - 4\/7*f**3 + 4\/7*f + w = 0. What is f?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zmc when three letters picked without replacement from pvzfvmfzczcvzvf?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Do 350 and 351 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (67 - 67 + 73*f)*(0 - 5 + 2) + (0 + 2 - 4)*(-6*f + 3*f + 5*f).\nAnswer: -223*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 8232041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -3*w + 4 - 2, 14 = 5*w + 3*v. Suppose -4 = k + m - 16, -3*m = -2*k + w. Suppose 200*h - 2326 = -3126. Sort k, -2, h in increasing order.\nAnswer: h, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*d + 14 = -3. Let n(c) = -4*c**2 - 4*c + 3. Let o(a) = a**2 + a - 2. Let x(r) = d*n(r) + 2*o(r). What is x(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -49.52543 rounded to 1 decimal place?\nAnswer: -49.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*j**4 - 59 - 4*j**3 + 3*j**2 + 59 - j**3 + j**3 + 2*j**4 + (-2*j + 1 - 1)*(-j**3 - 2*j**3 + 2*j**3) + 6*j**4 - 4*j**4 + 2*j**4.\nAnswer: 5*j**4 - 4*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 2 = 2*k, -30*j - 51*j - 2*k = -81*j - 11*k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 14972 divided by -3743?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the second derivative of -i**4\/20 - 30*i**3 - 2673*i**2\/10 + 24*i - 72. Suppose h(y) = 0. Calculate y.\nAnswer: -297, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-132964)\/(-28) - (-4)\/14. Suppose 2*p = 3*x - 12860, 5*p - 9246 = -3*x + 3586. Suppose 3*a - l = x. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*f + 4*f + f)*(16*f + 0*f - f) + 1815*f**2 - 1273*f**2 - 3 + 6 - 3.\nAnswer: 512*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes after 6:48 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(176)*2)\/(sqrt(16)*-2) + (0 + sqrt(99) + 0 + sqrt(99))*4 + 3.\nAnswer: 3 + 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 114*b**3*o**3*p**3 + b**3*p**3 + 2*b*o**3*p**3 - 2*b*o**2*p**3 - 19*o**2*p**3 wrt o?\nAnswer: 684*b**3*p**3 + 12*b*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-1) + 18\/72\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 652750256?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1, -33 in ascending order.\nAnswer: -33, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 5*v. Suppose 0 = 4*o - 6*o + 6. Let y(g) = o*g**2 - 5*g**2 + 4*g**2 - g**2. What is a(y(w))?\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 340 and 796?\nAnswer: 67660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = 2*y, -3*y = 2*y + 2*i + 19. Suppose -3*v = -d + 15, 222*v - 227*v - 25 = 2*d. Put d, 85, y in descending order.\nAnswer: 85, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 24 + -10.5. Let x = 16 - w. Let c = -2.50000072 + x. Round c to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11256238 * 0.1.\nAnswer: 1125623.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 - 6. Let z = -2 - v. Calculate the remainder when 26\/(9\/(-12)*24\/(-9)) is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.01082 + 0.04918. Let v be (8\/(-20))\/((-4)\/5). What is the nearest to -1 in -4, v, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*o - 6*o. Let v(a) = a + 1. Let q(y) = -3*y - 1. Let z(d) = 8*d + 6 + 1 - 4*d - 6. Let n(s) = -5*q(s) - 4*z(s). Calculate o*n(c) - v(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -36880 divided by 393\nAnswer: -36880\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 104966193 + 122633807 = 0. What is r rounded to the nearest 1000000?\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -23*a + 93. What is z(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*-16.531207.\nAnswer: 66.124828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - -42 - (60 + -44).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 40 and 1572.\nAnswer: 15720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 divided by 1618.\nAnswer: 4\/809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1104359, 2208692, 3313025, 4417358, 5521691?\nAnswer: 6626024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(2\/9)\/i*i)**(-4\/7)*(i\/(i\/(i*i*i*(i\/(i**(20\/7)\/i))\/i*i*i)*i)*i)\/i**(-30) assuming i is positive.\nAnswer: i**(2080\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.06  (b) 18  (c) -3  (d) 0.2  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from pttppppptppipqp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**2 + 54*i + 658. Let v be p(-19). Let n be (-70)\/v - 222\/24. Solve -n*u**2 - 9\/4 + 3*u = 0 for u.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 = -d + 2*y - 7*y, 2*d + 5*y - 58 = 0. Let v = 22 - d. Suppose v*b - 4*m = 10, -m = -1 - 1. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the first derivative of 1\/15*p**3 + 1 - 1\/20*p**4 - 1\/5*p + 1\/10*p**2. Factor q(f).\nAnswer: -(f - 1)**2*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1425601 + 110?\nAnswer: 1426011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 38268 or -3?\nAnswer: 38268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and 68.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/3  (b) 5  (c) -765\/67  (d) -4\/7  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.039062 rounded to three dps?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a**4 - 1 - 9*a + 9*a + a)*(-69 - 38 - 55 + (3 - 1 - 1)*(1 + 3 - 3)).\nAnswer: -161*a**4 - 161*a + 161","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are -2548026 and -2548021 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 757157393?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes before 10:16 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-10)\/25 - 113\/5. Let y = 67 + x. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a. Let j(n) = -8*n**2 - 11*n**2 - 11*n**2 + 32*n**2. Give u(j(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -3958.98 times -0.4\nAnswer: 1583.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2 or 32439\/8?\nAnswer: 32439\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.53 and 27396.\nAnswer: 27395.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 2) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the first derivative of -r**4\/4 - 2*r**3\/3 + 9*r**2\/2 + 5*r - 712. Determine n(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.69, 7\/4, -4, -1\/4 in decreasing order.\nAnswer: 7\/4, -1\/4, -0.69, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2206\/9 - 728\/3. Let h be ((-4)\/6)\/(12\/90). Let k(n) = -n**3 - 5*n**2 - 2*n - 8. Let w be k(h). Are m and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-3 + 1) + 5. Suppose 2*d = 4*v + 64 + 48, 3*d - r*v = 164. What is d rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -4 + -2 - -16\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 2*h**2 + 30466*h - 152349. Determine d(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 379031730 divided by -126343910?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -52, -0.09, -6\/7?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 610 and 278624332?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -230?  (a) 4\/7  (b) 0.3  (c) 1\/4  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 68 divide 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 445a (base 12) in base 6?\nAnswer: 54554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 703*v**2 + 3294?\nAnswer: 1406*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - z - 12 = -0*z, 0 = -y - 3*z + 4. Calculate the least common multiple of y and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) - (-1*sqrt(2448))**2) + (sqrt(68)\/sqrt(4))**2 + -5.\nAnswer: -2436 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 3*l = 17, h + l + 470751 = 470726 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((2*((sqrt(245) - (sqrt(245) + 2)) + sqrt(245)) - ((sqrt(245) + sqrt(245) + 2)*-4 + sqrt(245)))*-2 + 0)**2.\nAnswer: 2016*sqrt(5) + 79441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 632 divided by 79\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 260841982 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 19 - 0. Let y be 2 + 2 + 1 + -2. Let d = s + y. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -51114*l**4 - 26*l**3*q**3 + 1068*l**2*q + 6662*l*q**3 wrt l.\nAnswer: -1226736*l - 156*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5925)\/(-150) + 13 - (-4)\/8?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 357066498 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 24282 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3554?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -410678250 - 1?\nAnswer: -410678251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/9?  (a) -0.3  (b) 4  (c) 0.4  (d) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 + 60\/(-25))*(-1275)\/16320?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -2*a**2 - 64*a - 8. What is l(-32)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -4*f. Let t(d) be the second derivative of -d - 2 + 1\/12*d**4 + 0*d**3 + 0*d**2. Calculate s(t(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a - 1. Let z = -9 + 11. Let n(u) = 4*u + 3. What is z*n(s) + 5*q(s)?\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:03 AM and 5:39 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -22856 - -22871. Let f be 43\/(-66) - 4\/22. Which is the nearest to -2\/7?  (a) 1\/2  (b) z  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-44)\/55*13\/(3432\/60)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 3*x = x + 120, -3*o + x + 80 = 0. Let l = -22 + o. Solve -l*k = -3*k + 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -153*u = -150*u + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 66446229 to the power of 1\/3, to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -a94ba - -2?\nAnswer: -a94b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in eighteen fifths of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.02 + 18.98. Let o = 18.68 - n. Round o to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -5*s - 30. Let q be b(-7). Suppose -c + 1 = 4*a, q*c - a + 91 = 3*a. Let i be 4\/10 + (-9)\/c. Which is smaller: i or 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h**(-2\/3)\/h)*h)**(1\/42)*(h**(2\/5))**(2\/3) assuming h is positive.\nAnswer: h**(223\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19\/140 + 3\/20. What is the nearest to -2\/3 in 2\/9, 4, y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44 = -4*w - 3311*f + 3291*f, -1 = -3*w + 2*f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -6*m**3 + 6*m + 6. Let k(x) be the second derivative of x**3\/6 + x**2\/2 - 485*x. Suppose 2*u + 4*l = 2 - 20, 2 = -3*u - l. What is u*y(p) - 6*k(p)?\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/(-2) - (-12)\/(-56). Let t = -0.13 - -1.13. Let m = 6.7 + -14.7. Which is the nearest to t?  (a) j  (b) m  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(272) + (sqrt(272) + -1 + sqrt(272))*-5)**2.\nAnswer: -360*sqrt(17) + 22057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -339 times -12\nAnswer: 4068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 4*d - 3. Let c(j) = 9*j - 6. Give -6*c(i) + 13*g(i).\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (67 + -9 - (-64 - -68))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1854 = -x + 107*i - 105*i, -4*i = -5*x + 9258. What is the highest common divisor of 1258 and x?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6692 = 501*c - 5332 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 130782872 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1495)\/(-1155) - 2 - -3. Let f = i - -3\/77. Is f > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 120211232 (base 4) to base 2.\nAnswer: 11000100101101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2*3)\/((-123)\/164). Solve -d*k = -k + 35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 2 + 2)*(5 + 0 - 7 + 6*d) + d - d - d.\nAnswer: -13*d + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 90*b - 43. Calculate the remainder when t(3) is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -2*o. Suppose 0*c + 25 = 5*c. Suppose 12 = c*h - 0*b + b, 0 = 2*h + 3*b + 3. Let i(u) = -h*u + 4*u + u. Give r(i(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 12949 a factor of 6126379084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 6951888 to the nearest ten thousand.\nAnswer: 6950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2473191 is divided by 2700?\nAnswer: 2691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 2*i = 10, 0 = -0*i + i. Suppose 0 = 2*s + 2*s + 4*o - 48, -5*s + 1651*o = 1650*o. Solve 0 = -s*h - 0*u + u - 10, -3*u + 10 = -w*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 3*q**2 + 838*q + 60. Let w be o(-84). What is w rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -858646*x**2 - 2*x - 134788.\nAnswer: -1717292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -18*d + 17*d - 14*d in the form f + b*d and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-36)*3)\/(14\/(-6))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 80347469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-336)\/392)\/((-2)\/14). Solve -2*k + 4 + b = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -27 - -29. Let t = -18 - -38. Suppose -2*d + 5*b + 35 = 0, -3*b = 5*d - f*b - t. Calculate the least common multiple of 6 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(-4360)*5435 - 10)*(-18 - (-209)\/11)\nAnswer: -3\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1909 + 17745877432?\nAnswer: 17745875523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3090 is divided by 1219.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + d + 6, 3*o = -3*d - 0*d + 6. Suppose -b + 2*b = -o*j + 4, 0 = 3*b + 3*j - 27. Solve 0 = -3*u - 2 + b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*l - 18*l - 23*l to g + o*l and give o.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/(-77)*(-77)\/(-10)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (51 - 10 - 175)*(-4*k**2 + 18*k - 18*k).\nAnswer: 536*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 - 4. Let v be (j + -2)*3\/2. Let k be 2900000 + 0\/(v + 0). Round k to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 387\/5, -0.06, 1, 0.113, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j*j*j\/(j*j**(-11)\/j*j*j*j)*j*j*j)**38\/((j**(-2\/25)*j)\/(j\/(j**(1\/2)*j*j))) assuming j is positive.\nAnswer: j**(28379\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q - 9 - 5 = 0. What is the units digit of (5389\/68)\/(q - 47\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pi when two letters picked without replacement from paiuf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*d - 10 - 70 = 0. Let a(s) = -5*s**2 + 26*s + 98. Let k(o) = 3*o**2 - 17*o - 65. Let x(c) = -5*a(c) - 8*k(c). What are the prime factors of x(d)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -106, -96, -76, -40, 18, 104, 224, 384?\n\"Answer: s**3 - s**2 + 6*s - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 - (131 + -1 + -2). Let t be -2 + (-8)\/(-3) + 3710\/15. Let c = t + j. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 266*p - 358*p - 277 = f, 3*f = -3*p - 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -2 + c - 2*c - 5*c - 2*c. What is the units digit of o(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 35\/11  (b) -2  (c) 0  (d) 0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q + 1. Let n(b) = -10*b - 8. Let g(j) = 9*j + 7. Let u(l) = -3*g(l) - 2*n(l). Let k(z) = -5*p(z) - u(z). Let t(i) = -38*i. What is k(t(c))?\nAnswer: -76*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.056 - -30.944. Let h = 36007218.000026 + -36007249. Let s = k + h. Round s to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (31 + -32 - (1 - 12)) + 4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(475)*-5 + sqrt(19) - (0 + sqrt(19) + -5)**2 - ((-5 + sqrt(19))*-3 - (sqrt(931) + (sqrt(931)*6)**2 + sqrt(931))).\nAnswer: 3*sqrt(19) + 33457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 11*k. Suppose 133*f - 128*f - 170 = 0. Let o(h) = -66*h. Calculate f*z(q) + 6*o(q).\nAnswer: -22*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 31510 divided by 5\nAnswer: 6302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.7 + -0.87. Let g = 0.203 + f. Round g to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -2\/3, -3\/4, 18, 2\/15, -2\/91, -1\/3, -429?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 4*l = -3*x + 17, 0 = 3*x - 5*l - 11. Suppose y - 15 = -x*j + 2*j, -y = 0. Let p be 1\/(j - (-4 + 8))*-16. Solve 4*w = -2*s + 6 - p, 5*s = 15 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-seven halves of a day in minutes?\nAnswer: 41040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**3 - l**2 - l + 2. Let u be f(0). Let b = 2 + -11. Let o = b - -11. Solve -g + 2*v = 7, o*v = u*g - 0*v + 12 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1*2)\/((-2325)\/3255)\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 - 0)\/(2 - (-5)\/(-2)). Suppose 3042 = p - 5*c - 229, -c = -i*p + 6542. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-4))\/(1014\/(-156))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 7 + 3)*(-2 + 2 - 10)*(5*t - 3*t + 0*t - 4*t + t + 2*t + t - t - t + (-4 + 3 - 1)*(2 + 2*t - 2)).\nAnswer: 320*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.2, -2.5, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 612302, -2, 1 in ascending order.\nAnswer: -2, 1, 612302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8641 + -8394. Calculate the remainder when r is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*s - 5*s - 4*s + 9)*(-151*s**4 - 8*s + 19*s**4 + 8*s).\nAnswer: -132*s**5 - 1188*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 1\/4  (b) 1  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-6)*(-2)\/((-117)\/104*4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 484765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**2\/3 - 14195884*a + 75571170953046.\nAnswer: 2*(a - 10646913)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 111*o**2 - 3*o**2 - 2*o**3 - 1247*o**4 + 1248*o**4 to the form s*o**4 + k*o**3 + w*o + i*o**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1352426994?\nAnswer: 2, 3, 653, 115061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-three fifths of a meter in millimeters?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*w = 2*t - 24*w - 370, t - 182 = -w. What is the least common multiple of t and 3*5*36\/27?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/((c\/(c\/(c*c**(3\/7)*c)))\/c))\/c*c**(-5\/2) assuming c is positive.\nAnswer: c**(-55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 31883.08 rounded to the nearest one thousand?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -13 - (-17 - (-162 + 115))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 315308.3nm?\nAnswer: 315.3083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -40 - -39.9. Is l greater than 1\/136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1356 - -1381. Is 119 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-24)*g)**(-1\/13) assuming g is positive.\nAnswer: g**(23\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 7176 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 320, 318, 294, 242, 156?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1190541399*u**2 + 2 - 2 + 1190541398*u**2 - 3*u**3.\nAnswer: -3*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -99 + 106?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the first derivative of -5*m**4\/4 - m**3 - 2*m**2 - 4*m + 2. Does 32 divide f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -11*y + 4*y + 2*y - 2. Let i(h) = -11*h - 5. Let c(p) = -9*b(p) + 4*i(p). Calculate c(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.36 take away -173476?\nAnswer: 173476.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**2 - f + 1. Let o(v) = 2*v**2 + 2*v - 3. Let r(i) = -o(i) - 4*u(i). Let p be r(1). Solve -2*y - p*y = -10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 s, and 1 h when three letters picked without replacement from shdqsddddssdqdsdsq.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**2 - 2*i - 5. What is the smallest common multiple of -12*(45\/20)\/(-3) and x(5)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence chd when three letters picked without replacement from adbdahdcbb?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o + 10. Let k be g(-6). What is the derivative of -323*j**4 - 4*j**2 - k - 2*j**2 + 16 + 324*j**4 wrt j?\nAnswer: 4*j**3 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * -1392.\nAnswer: -417.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - -2.1. Let u = 0 - -0.2. Let r = -6 - -4. Which is the nearest to n?  (a) -0.4  (b) u  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, 0.3, -4, -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*b - 7 = -35 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1531118467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 10 + 3773264?\nAnswer: 3773274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 3 = -9. Let s = 5 - a. Is s > -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15, 3, -59, -195, -429, -785, -1287, -1959?\nAnswer: -2825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 divided by -14452?\nAnswer: 6\/3613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + 4.5. Let j = 5.5 - a. Let d be (-72)\/(-42) - 4\/2. Is j equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5247 + -5247.1. What is the biggest value in u, 9, 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Simplify l**(2\/27)\/(l*l**(6\/13))*(l**23)**(9\/4) assuming l is positive.\nAnswer: l**(70709\/1404)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11100011111101101 - -11?\nAnswer: 11100011111110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 128 = -4*h - 400. Let d = h + 95. Let o = 117 - d. What are the prime factors of o?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-12) + (-54)\/(-2) + (-16192)\/(-1056).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 26 divided by 14107\nAnswer: 26\/14107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 10731 = r, 40*p + 7165 = 42*p - 3*r. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/31440*-5)\/(4\/(-16)).\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-9 - -8) + (16*-2)\/(-2). Let h be 15\/(-6)*(-12)\/t. What is the first derivative of 11*y**2 + 12 - 5*y**h - 4*y**2 wrt y?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11718 is divided by 672.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -6679979.58 to the nearest ten thousand.\nAnswer: -6680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 4*u + 20, n = -4*u - 6 - 2. What is the tens digit of 60 + (n - 8 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20549b (base 15) in base 13?\nAnswer: -41a596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gmkkbggmqkkkkgkag. What is prob of picking 1 m and 1 g?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3\/2, -9, 4\/7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pikf when four letters picked without replacement from ifikifkiipkikkpif.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 38 + -8. Calculate the remainder when i is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3291*m - 3563*m - 3110*m + 9155*m to c + p*m and give p.\nAnswer: -809","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 35, 62, 75, 68, 35?\n\"Answer: -x**3 - x**2 + 37*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**2 + 15*o - 11. Let g be w(14). Suppose -2*j - 2*j + 12 = 0. Let i be (j\/((-6)\/8))\/(-2). Solve -k - i*p = 10, -3*k + g*p - 4*p = 15 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -6 - 2\/3*j**5 + 10*j - 28\/3*j**3 + 4\/3*j**2 + 14\/3*j**4 = 0. Calculate j.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = -5*v - 25, 4*h = -v - 0*v - 21 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x + 9 = -2*l + 5*l, -2*l - 13 = 3*x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -50 - -55. Suppose 5*r = -5*q - y, 0 = -2*q - 82*r + 85*r + 13. Solve 9\/5*l**q - 9\/5*l**4 - 3\/5*l**5 - 3\/5*l**3 + 6\/5*l + 0 = 0 for l.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -305 (base 11) in base 3?\nAnswer: -111122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 967046?\nAnswer: 2, 483523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -26307 times 8\nAnswer: -210456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**2 - 10*r - 51. Let v be g(15). Suppose 5*p + 3*f = 39, 2*f + 0*f = -4*p + 32. Solve v*u = 27*u + p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -209.5 - -209. Let q = 8 - 11. Which is the nearest to -1\/3?  (a) -8  (b) q  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jmjkkkjjjmkmmjjkj. Give prob of sequence jjkm.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 + 4.1. Let a = 0.03 + 0.01. Let r = a + -0.04. What is the smallest value in s, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-9)*-3)\/((-17)\/(408\/32))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.2 and 2632030.33456989?\nAnswer: 2632030.13456989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*a**3 + 34*a**2 - 32*a**2 - 2*a**3 to the form r*a**3 + g*a + v + b*a**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -765406 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.0672 - -0.0622. Put y, 2\/13, 2\/3 in ascending order.\nAnswer: y, 2\/13, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and 573407.\nAnswer: 229362.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -35*m + 5530. Give y(157).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 - -204. Let j = -51 - -87. Calculate the lowest common multiple of o and j.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1871 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 866685932 and 669?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 75245, 73359, 70215, 65813, 60153, 53235?\nAnswer: 45059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 115370 is divided by 879?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.96 + -0.04. Let d = 77 - 66.2. Let g = -11 + d. What is the biggest value in m, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00041078 to five dps.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -151\/6 and ((-3)\/27)\/((-9)\/(13068\/(-832))).\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4022 + 877 = 213*m for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -18, 0.18, -9\/95?\nAnswer: -9\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 7*g + 3*g - 39 = 0, 4*i = -3*g + 77. Let b be 120\/1020 + 100\/i. Solve 2 - 4 = 2*u - 3*n, b = -2*u + 4*n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) 1  (b) 5  (c) 130  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 260543677 and -2.\nAnswer: -521087354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rdtdhbll. What is prob of sequence hld?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:59 PM and 7:49 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 526773 and 3549?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 5) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 305 and 798.\nAnswer: 243390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 139981 + -139981.05800054. Let x = 0.058 + i. Round x to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.62 + 0.08. Let d = 14 + -9. Let p = 4.7 + -4.5. Which is the second smallest value?  (a) j  (b) p  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of n**5 + 1468*n**4*t**3 + 2*n**2*t + 130*n*t**3 wrt n?\nAnswer: 60*n**2 + 35232*n*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2475 and 5564250?\nAnswer: 61206750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p + 415*t - 420*t + 13 = 0, -3*p + 2*t + 2 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 7*j**2 + 4*j - 4. Let m(g) = 12*g**2 + 9*g - 1. Let a(b) = b**2 + b + 1. Let p(u) = -4*a(u) + m(u). What is -4*p(k) + 5*t(k)?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1140315 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 8) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 2*n**2 - 74*n + 518. Let p be i(39). Let a = 905 - 1355. Let g = a + p. Is 19 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.05 - 76.\nAnswer: -76.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**2 + 22*t + 70. Calculate f(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11 + 240*t**2 + 10 - 25 - 412*t**2 to the form c*t**2 + u*t + d and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 153 - 65 = 0. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3903*i = -3916*i + 1547. What is the least common multiple of 119 and i?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes after 4:06 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve p - 3 = -3*n, -p - 2 = p + 2*n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 426 + -331. Let w = -69 + x. Calculate the remainder when 83 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-25))**(-29)\/(y**2\/y**(-4\/3)) assuming y is positive.\nAnswer: y**(2165\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*c**6 + 3210*c**3 + 294156*c**2 wrt c?\nAnswer: 360*c**3 + 19260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 27008 = -11508. What is the thousands digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r - 2. Let v(b) = -b**3 - 2*b**2 + 3*b - 6. Let h(d) = 3*p(d) - v(d). Let h(q) = 0. What is q?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of -l**10\/15120 + l**9\/12096 - 2*l**5\/15 - l**4\/8 + 60*l**2 + 1. Let y(f) be the third derivative of m(f). Factor y(p).\nAnswer: -5*p**3*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*w = 370 + 59. Let h be 4\/12 - 88\/w. Which is the nearest to -1\/2?  (a) -2\/9  (b) 0.46  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (6\/4)\/((-5)\/(-41150) + 0).\nAnswer: 3, 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 62*z - 33*z**3 - 60*z - 19*z**3 - 20*z**3 - z**2 as m*z**3 + a*z + r*z**2 + c and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -19, -23, -35, -55, -83, -119?\n\"Answer: -4*k**2 + 8*k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 12 = -3*z - 2*z, 0 = -z - 2*s + 8. Suppose -2*v + z*l + 132 = 2*v, 2*v = -5*l + 94. Is v a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yhh when three letters picked without replacement from hhhyhhhh?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 2473*u - 57542. Calculate g(23).\nAnswer: -663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 3*d + 1. Let u = -6083 - -6091. What is the least common multiple of u and q(3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**5 - 9*l**4 + l**3 + 4*l**2 - 5. Let x(g) = 4*g**5 + 28*g**4 - 4*g**3 - 12*g**2 + 16. Let w(p) = 16*b(p) + 5*x(p). Factor w(a).\nAnswer: 4*a**2*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) 4.4757  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -42 + (42 - -37) + -39?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -10, -21, -44, -79, -126, -185, -256?\n\"Answer: -6*l**2 + 7*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 22380 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -0.04, -7, -306\/35, 5, 0.15 in decreasing order.\nAnswer: 5, 4, 0.15, -0.04, -7, -306\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and -2172233?\nAnswer: 1086116.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from ypyyyyypppy?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05 - -422.2?\nAnswer: 422.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 253 (base 7) to base 9\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -v + 6, 2*v + 3*p - 10 = 9. Calculate the greatest common divisor of 22 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 808\/985 + -4\/197. Which is the nearest to 0.1?  (a) -1\/7  (b) -1\/6  (c) -0.9  (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:51 PM and 9:06 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/132 and 49\/1755226.\nAnswer: 10531356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2 - 6997.\nAnswer: -6997.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f**2\/4 - 14193*f\/4 - 7097\/2 = 0. Calculate f.\nAnswer: -1, 14194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(85) - (sqrt(85) + sqrt(85) + sqrt(85)*-1))*-2 + -6*sqrt(85)*-1)\/(-1*sqrt(320)*5)*-6.\nAnswer: 9*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 2593 to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**7*q**(-2\/29))\/(q*q\/q**(-1))**27*(q**(-1\/2)*q)\/q**(3\/4)*q**(-4\/3)*q*q**(-6)\/q*q assuming q is positive.\nAnswer: q**(-27719\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -145, 0.1, 19, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.4, -4, 25\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -112 + 112. Suppose i = 4*t - 89 + 61. Let l(n) = 26*n - 42. What is the tens digit of l(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 698394?\nAnswer: 2, 3, 17, 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 11*1 + (1 - 2). Suppose 0 = l - 6*l - u. Let c be -673 - l*(-6)\/(-4). Round c to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/3, -882, -0.03?\nAnswer: -882","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (-4 - -8))\/((-3)\/(-2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (100 - 179*h - 209 + 107)*(1 - 3 + 0).\nAnswer: 358*h + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 7 - (-2)\/4*-4. Suppose -3*u - 212 = -q*t, -u - 7*t = -3*t + 48. Let x = u + 106. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 2*sqrt(612) + (sqrt(833) - (-3 + -1*sqrt(833) + sqrt(833)))**2.\nAnswer: 54*sqrt(17) + 839","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -2*u**3 - 5*u**2 + 10*u - 26. Is r(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 495*u - 13. Let x(o) = -122*o + 3. Determine -2*i(k) - 9*x(k).\nAnswer: 108*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -195*g**3*k**3*t**2 - 94*g**2*k*t**3 - g*k**3*t**3 + 681*g*k**3 + 2*g*k**2 - 3*g*k*t + 5*k**3*t**3 wrt g?\nAnswer: -1170*g*k**3*t**2 - 188*k*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-28)\/(-7) - ((-90)\/(-14) - 1). Let l = i - 1\/14. Let h = -2 - -3. Which is the nearest to h?  (a) l  (b) -0.7  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 299277*r - 149616*r - 149658*r - 27.\nAnswer: 3*r - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.5 - 0.9. Let t(p) = 2*p + 1. Let u be t(-3). Which is the nearest to -1?  (a) u  (b) -1\/7  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 4 - 20*y**3 + 21*y**3 + 6*y**2 + 4*y**2. What is the remainder when g(-10) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 142679\/2 + -71339. Let x be (-7 + 8)*2\/4. Find t, given that x + a*t**2 + t = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-28)\/70*15\/1. Let i(m) = -m**3 - 6*m**2 + 2*m - 7. Let f(j) = -3*j**3 - 17*j**2 + 6*j - 20. Give g*f(t) + 17*i(t).\nAnswer: t**3 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6387800 and 304.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 + 3. Let y(o) = 20*o - 21. Let u(c) = 166*c + 8796. Let z be u(-53). Let k(i) = 4*i - 4. Calculate j*k(n) + z*y(n).\nAnswer: 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 0, 5*t - 2*w = 302 - 12. List the prime factors of t.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*o - 3 + 24*o - 11*o - 2*o**4 to b*o**4 + j*o**3 + p + y*o + r*o**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*z**4 - 5*z**4 - z**4 + (-9*z**2 - 15*z**2 + 26*z**2)*(12*z**2 - 7*z**2 + 6*z**2) + (z + 2*z - 2*z)*(2*z**3 - 1 + 1).\nAnswer: 22*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -15.7 + -3.25. Let j = 19 + b. Round j to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 666800*x - 6555 = 666705*x for x.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 8, -8, -13, 317, 5 in descending order.\nAnswer: 317, 8, 5, -3, -8, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -66 (base 8) to base 15\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from vvrarvvrrvrvdvvrrvv?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -113100 + -3?\nAnswer: -113103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and 1159.\nAnswer: 579.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g - 5*g = 2. Suppose 3 = -3*n + g*f - 0*f, -3*n + 9 = 2*f. Suppose 3*k = 13 - n. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t - 5 + 20. Let x = t + 8. What is the remainder when 19 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 75404 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - h - 89, 5*l + 42 = 7*l - 5*h. Let g(q) = 12*q - 172. What is the remainder when l is divided by g(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 67236360 and 5100?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -42?  (a) -0.2  (b) -1\/242  (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 181\/4 - 45. Let t = -0.41 - -0.01. Let h = -0.97 - 0.03. What is the closest to h in -1, g, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19573.\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -7*(-5)\/((-5)\/(-3)). Suppose -18 = -5*z + b, 4*z - 2*b - a = b. Let p = 6 + z. What is the remainder when 25 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**2 - 18*o - 14. Let x be a(-17). Suppose -r - 5 = -0*r, 0 = -x*f + 2*r + 28. Suppose -4*l = 2*s - 346, 5*s - 853 = -f*l + 2*l. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {n: 5, s: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 7 = 4*r, 5*r + 5*l - 10 - 15 = 0. Suppose -3*z - 91 = -r*i - 0*i, 134 = 3*i - 4*z. What are the prime factors of i?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 - 9 + 25*h**3.\nAnswer: 25*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the third derivative of a**7\/5040 - a**6\/180 + a**5\/60 + a**2. Let x(p) be the third derivative of r(p). What is x(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the third derivative of i**7\/1680 + 73*i**5\/60 + 70*i**2. Let m(g) be the third derivative of z(g). Let y(n) = 15*n. What is m(y(d))?\nAnswer: 45*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 - (0 + (1 - 4)). Suppose -3*i - s + 599 = 0, -i - u + 208 = -s. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3.8 times 5.9\nAnswer: -22.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-60)\/(-225))\/(10\/(-120))*(-3 - -23)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qn when two letters picked without replacement from bnqexux?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1933645632.\nAnswer: 2, 3, 10071071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (2\/((-50)\/45))\/(18\/(-60))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - b = 442, -5*k - 5*b - 422 = -6*k. Let u = 457 - k. Calculate the greatest common factor of 225 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5709041.\nAnswer: 13, 439157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -39.5 + 39.9. Which is the closest to 0.1?  (a) -40.1  (b) h  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 15 = 4*j. Let f be 68\/(-8) - 1\/(-2). Let x be (-14)\/f*12\/3. Solve 0 = -j*r + 2*w, r + r + w + x = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 328853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1068000 + 3 + -3 + 0\/(-2). Round d to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56909350 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l + 0*l = 3*o - 12, 0 = 2*o - 3*l - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -689575, -689542, -689509, -689476?\n\"Answer: 33*g - 689608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + 0. Let c = -1.2 + 1. Let i = x + c. What is the closest to 0 in -5, i, -3\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -421 (base 9) to base 16.\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -243956, -21 in descending order.\nAnswer: -1, -21, -243956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3420 and 4180.\nAnswer: 37620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 2580257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 4*r**3 - 16*r**2 - 26*r + 139. Is m(16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 1 + (6 - 9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -321*32889.\nAnswer: -10557369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 3*o - 20. What is j(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 + 1. Let r be (b + 8)*18\/2. Calculate the highest common factor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the first derivative of -11\/10*o**5 + 13\/6*o**3 - 1\/3*o**6 - 1\/8*o**4 + 5\/4*o**2 + 51 - o. Determine r, given that p(r) = 0.\nAnswer: -2, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -11300, -1, 5, -2, 297 in decreasing order.\nAnswer: 297, 5, -1, -2, -11300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -53014\/7 or -7572?\nAnswer: -7572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uqququqq. What is prob of picking 3 q and 1 u?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -300, -4, 2 in decreasing order.\nAnswer: 2, -1, -4, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/4046 and 61\/28.\nAnswer: 8092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 381597254 and 1102?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/32 + (975\/3120)\/(2\/(-166))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 200 a factor of 39800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h + 5*n + 15, 0 = -5*n + 8*n + 3. Solve 3*w + 9 = 5*r, 5*w + 9 = h*w - 2*r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1, -0.006, -4, -4\/9, 111?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 514739.8 years to centuries.\nAnswer: 5147.398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 44\/32 + (-10)\/8.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1b880 (base 12) to base 2\nAnswer: 1010000000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -159.9 - -159.7. Let m(z) = z**2 - 5*z - 6. Let u be m(5). Let f = 4 + u. Which is the second biggest value?  (a) r  (b) f  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1241 = 3626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -586282, -1172598, -1758914?\nAnswer: -2345230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -127, 471 in increasing order.\nAnswer: -127, -4, 471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3\/559, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -9198, -19500, -29802, -40104?\n\"Answer: -10302*o + 1104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -634, -5, 5, 0.2, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the second derivative of -y**7\/168 + y**6\/18 - y**5\/6 - 5*y**3\/3 + 3*y. Let a(d) be the second derivative of q(d). Let a(t) = 0. Calculate t.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -19*j - 23 - 24*j + 6*j. Let r be a(-9). Round r to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13375*k + 493 = -13346*k for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 - 10 + 11 + 6*o)*(-183 + 386 - 18)*(0 + 2 + 0) to the form i*o + n and give n.\nAnswer: -1480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 8  (b) -0.07  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -173785 + 86939 + 86846 + 33*o.\nAnswer: 33*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 11 = -0*r + 3*r, 3*n = -4*r - 19. Suppose 2*f - 2*t = -f - 5, 4*f - 2*t = -4. Let s be ((-1)\/2)\/1 + f. What is the closest to s in 3, n, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 114147919 to the power of 1\/3, to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**2 + 5*k + 6. Let c be q(-3). Find the common denominator of (2\/24)\/(c - -1)*-25 and 37\/11.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -112 (base 3) in base 2?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000288172 rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1517210 and 14705?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -7*r + 0*r + 0*r + 5*r + 7. What is j(-9)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 9 = 5*q. Let h(t) = q*t - 7*t + t**4 - 3*t. Let r(i) = i. Let b(d) = -h(d) - 5*r(d). What is the second derivative of b(j) wrt j?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10464 - 10464.3. Sort 20, -78, f in decreasing order.\nAnswer: 20, f, -78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vmfvxrwrw. Give prob of sequence fx.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 9 + 43 = 0. What is the first derivative of 1 + v*f + 7*f + 17 wrt f?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*q**4\/7 + 180*q**3\/7 + 220*q**2\/7 - 20*q\/7 - 24\/7 = 0.\nAnswer: -1, -1\/3, 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 20.6, 4 in decreasing order.\nAnswer: 20.6, 4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.4, -4, 0, -6, 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 152792, 152880, 153026, 153230, 153492?\n\"Answer: 29*l**2 + l + 152762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2426 and 4852?\nAnswer: 4852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6  (b) -2  (c) -0.3  (d) 0.2  (e) -5502  (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4336 in 1\/10, -59, 1, 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 442017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (480\/(-144))\/(5\/(-36)). Suppose h*n + 837 - 4173 = 0. Is n a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.9 + 6.9. Let u = t + -7. Which is the second biggest value?  (a) -1  (b) -0.5  (c) -0.3  (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6640072 micrometers in centimeters?\nAnswer: 0.00006640072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 157 + -155. Let r(g) = -6*g**2 - 2 + d*g**2 - 8*g + 3*g**2 - 3. Give r(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -5\/266 and 27\/14?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*r*z**3 + 2*r*z - 921*r - 975*z**4 + 5*z**2 - 8 wrt z?\nAnswer: 48*r - 23400*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*t = -2*t + 42. Solve -g + t + 3 = z, 2*z - 15 = -3*g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/28 - (-3 + 1\/(98\/(-3374))).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61384289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -3749770 to the nearest 100000.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -234 in 2\/3, -2, 1431?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 4*j**3 - 3*j**2 - 3. Let m(z) = 7*z**3 - 5*z**2 - 5. Suppose -144 = -i - 135. Let l be 15*((-3)\/i)\/1. Give l*v(d) + 3*m(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.2829691 centuries?\nAnswer: 0.02829691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 - (-7)\/3)*-12. What is the least common multiple of 16 and (b\/25)\/((-2)\/20)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1248 or 1256?\nAnswer: 1248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 92 + -29. Let c = 62.99999836 - j. What is c rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (29 + (-14091)\/484)*6\/5.\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and -0.026979228?\nAnswer: 0.0026979228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -3994*k**2 - k - 12. Let x(f) = -7988*f**2 - 2*f - 30. Calculate 5*n(o) - 2*x(o).\nAnswer: -3994*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*o - 31. Let a = o - -9. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**2 - 13*j - 27. Let h be k(-3). Suppose 3*q - h = 3*z, -3*q - 4*z - 3 = 1. Which is the closest to -2?  (a) -0.3  (b) q  (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 2*s**2 - 1. Let a be (-2)\/(-8) + 60\/16. Suppose 0*c = a*c + 2*d - 26, -3*d - 11 = -4*c. Let r(g) = 4*g**2 - 1. Calculate c*k(t) - 3*r(t).\nAnswer: -2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -4*x**4 - 3*x**3 + 2*x - 53. Let b(t) = -t**3 + t - 1. Let v(m) = 2*b(m) - p(m). Differentiate v(h) with respect to h.\nAnswer: 16*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10474076 less than or equal to 10474075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -12*b - 4. Let a be i(6). Let s(k) = -4*k**2 + 18*k + 5. Let h be s(7). Let z = h - a. Calculate the greatest common divisor of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13973?\nAnswer: 89, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**2 - t + 1. Let x(y) = y**3 - 11*y**2 - 6*y - 2. Let f(b) = 4*u(b) - x(b). Let g(a) = a + 7. Let l be g(0). What are the prime factors of f(l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five halves of a century in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1\/(-4))\/(1 + -2). Let s be (858\/91)\/((-1)\/14). Let m be (s\/(-9))\/11 + -1. Which is the closest to m?  (a) -5\/3  (b) -0.1  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 54*z + 11 + 6. Solve b = z, -32 = 2*j - 2*b - 28 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - (1 + -2)) + 15 + -18?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**3 + 7*o**2 + 4*o - 9. Let g be x(14). What are the prime factors of (1 + 0)\/((-25)\/g)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -109*t**2 - 6*t + 1. Let b(i) = -27*i**2 - 4*i. Give -9*b(u) + 2*x(u).\nAnswer: 25*u**2 + 24*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14776?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(1\/38)\/i**(1\/63)*(i*i*i\/(i*i**31))**(-38))**18 assuming i is positive.\nAnswer: i**(2638213\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 49*u**2 - 3*u + 3. What are the prime factors of l(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 210 and 1059225.\nAnswer: 14829150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the third derivative of -p**5\/60 + p**4\/24 + p**2. Let y be d(1). Which is the third biggest value?  (a) y  (b) -2  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*m + 3440 = -15885 + 2913. Calculate the remainder when 3002 is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -533*n*o**4 + 10*n*o**2 + 9*o**4 - 178*o**2 wrt o.\nAnswer: -12792*n*o + 216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*d**3 + 4340*d**2 - 65856*d + 158400 = 0. Calculate d.\nAnswer: -1100, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:27 AM and 9:05 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t - 5. Let y be g(10). Suppose 0 = -2*h + 3*i - 11, -5*h + i = -2*i + y. Suppose 0 = -h*n + r + 1, -r - 7 = -3*n - 2*n. Solve -4*w = -n*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 33*i - 154. Let a(z) = -2*z**2 + 68. Determine a(t(o)).\nAnswer: -2178*o**2 + 20328*o - 47364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.002 - 334.002. Let o = a + 118. Let x = o + 215.99758. What is x rounded to 4 decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 301*j - 5590 = 1419*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.5  (b) -13  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -2 - d**3 + 8*d**3 - 1 - 11*d**2 - 6*d - 6*d**3. Is c(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2181 - -2006.9. Let z = 167 + n. Let y = z - -8.1. What is the closest to -17\/2 in 0, -0.4, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 12*o**2 - 26*o + 53. Let t(f) = -3*f**2 + 7*f - 14. Calculate 4*b(s) + 15*t(s).\nAnswer: 3*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 12 = 2*f, f - q + 1 - 5 = 0. Suppose 0 = -7*o - f - 7. Let c(m) = -15*m**3 + m**2 + m. Give c(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:34 PM and 5:42 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2078 is divided by 402?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 6}. What is prob of picking 2 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cctctcoctot. What is prob of sequence octo?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*j**4\/5 + 9464*j**3\/5 - 174796*j**2.\nAnswer: 4*j**2*(j - 89)*(j + 2455)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in seventeen halves of a millimeter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 22.59571 micrometers?\nAnswer: 0.00002259571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -9382449 times 92?\nAnswer: -863185308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the second derivative of z**5\/20 + 3*z**4\/4 - 11*z**3\/6 + 2*z. Is t(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 312597 to the power of 1\/2, to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 5*d - 1141, -2*d + 924 = 2*d - 4*m. What is the remainder when d is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = j - 4*j, d - 5*j - 20 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-14)\/10)\/(6\/15). Which is the nearest to -0.1?  (a) 1\/10  (b) p  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c - 16. Let z be u(-21). Suppose -3*f - z*k + 1414 = 0, -4*f - 3*k - 1422 = -7*f. What are the prime factors of f?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 99 divide 92759832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 3*l - 16 = 0, -3 + 4 = -l. Suppose -4*s = -z - 3. What is the units digit of s\/(-14) - 620\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13371608?\nAnswer: 2, 1671451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -38, 2 in descending order.\nAnswer: 2, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3082 - 2560?\nAnswer: -5642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**2 + 7*w + 9. Let a be k(8). Is a at most as big as 1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-8)\/14*29470\/(-20). Suppose u = c - 898. Round c to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in u**3 + 56 + 23*u**2 + 6 - 5*u**3 + 17*u**2.\nAnswer: -4*u**3 + 40*u**2 + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110 - 101000101001110000010?\nAnswer: -101000101001101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-12)\/(-3))\/(-4) - -4. Suppose -3*q = i - 6*i + l, i + q + 1 = 0. Find the third derivative of -4*w**5 + w**2 + i*w**2 - 6*w**2 wrt w.\nAnswer: -240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 707809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1337851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.88 * -2402\nAnswer: -2113.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 46*d - 3. Let s(i) = 31*i - 2. Determine 5*a(k) - 8*s(k).\nAnswer: -18*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 7 = 4*i, 11*l - 16*l - i = 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 5, -34.1, 166\/67?\nAnswer: 166\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*z - z - 4*z)*(-1 - 2 + 1)*(6 - 3 + 1).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*k - 118*k = 187*k - 819 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11497 + 1165 = 123*x for x.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 356 a factor of 17219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and 81875755.\nAnswer: 32750302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes after 3:52 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*1\/((-10)\/(-5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 4*z - 27 = -z, -4*h = 5*z. Which is the nearest to 5?  (a) -0.4  (b) -1  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12041*o = -12004*o + 296 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 4, t: 1, g: 1, h: 5}. What is prob of sequence ooh?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -175*l*r**3 - l*r**2 + 62*l*r*t - 19*l*t + 5*r**3*t + 323*r**3 + 5*r**2*t + 9*r - 2 wrt r?\nAnswer: -1050*l + 30*t + 1938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o - 9, 2*o = 2*b + 6*o + 2. Suppose -2 = a + 2*w, -5*a - w = -b*w - 60. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -6*b**2 - 1. Let k be 6\/8 + (75\/(-4) - 3). Let m = k - -20. Calculate z(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**3 + 5*a**2 - 2*a - 4. Suppose u + 22 = -u. Let h = -7 - u. What are the prime factors of c(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3)\/12 + 5\/((-300)\/(-55)). What is the third smallest value in n, -13\/5, 0.3, 1\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -386*r - 150560 = -4150*r for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3115*s + 32870*s + 27039*s.\nAnswer: 63024*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, 2\/9, -0.5, 17, -1\/8 in decreasing order.\nAnswer: 17, 2\/3, 2\/9, -1\/8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -157*q**2 + 5*q**6 + 153*q**2 - 2*q**6 wrt q?\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the first derivative of -54\/35*l**5 + 6\/7*l - 8\/7*l**3 + 9\/14*l**2 - 5\/14*l**6 - 20 - 33\/14*l**4. Determine j, given that h(j) = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 g, and 1 p when three letters picked without replacement from gypypgyyyyyypp?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (7 - (-507)\/(-6))*(-4860)\/50?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33103429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -200*d + 260 = -195*d. What is the highest common divisor of d and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -18096543.961 to the nearest 100000.\nAnswer: -18100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-1\/3)*k*k**(-2)*k**4*k**(-5) assuming k is positive.\nAnswer: k**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c - 310 = 6387*z - 6392*z, 4*z - 3*z = 18*c - 1021 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 31626267037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -97 + 47 - 648*r + 50 to the form c + a*r and give a.\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6\/10)\/((-7)\/(-35)). Suppose 4 = r - j*r. Is (-43)\/r - (-1)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-1)\/(-7))\/((-12)\/44612). Let v = -531 - d. Let b = -0.004 + 1.004. Which is greater: v or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.431 - -1.49. Let l = j - 0.058906. Round l to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -13) + (89 - 92).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -139620 divided by 23270\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4\/10)\/((-7)\/35). Let u be (0\/t - 0)\/2. Solve u = 5*w - 10, 4 = -2*n - w + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6 or 6.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2272073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 35 + 50. Let r = 177 - w. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 161820 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the third derivative of q**4\/24 + 39*q**3\/2 + 7*q**2 + 24. Let r(b) = 3*b - 5. What is the remainder when w(-7) is divided by r(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -43 + 42.97. Let z(d) = -d + 14. Let q be z(15). Let u = -3 - -3.1. Which is the biggest value?  (a) u  (b) h  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -51 divided by 2\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 minus -212.5033762?\nAnswer: 212.4033762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2700420079 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 6*r. Let k(q) = -193*q + 8. Determine i(k(a)).\nAnswer: -1158*a + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -31140, -62277, -93400, -124503, -155580, -186625, -217632?\nAnswer: -248595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*t - 4*t + 14*t - 15*t - 4*t.\nAnswer: -22*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 4*k - 61 = 0, 0 = -0*k + k + 5. Suppose 61 = 3*r - f - t, -r - 4*f + 25 = 0. Let p = 56 + r. Calculate the highest common factor of p and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the first derivative of -9*l**4\/4 + 5*l**3 + 28*l + 2. What are the prime factors of x(-5)?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xssxtgid. Give prob of picking 1 x and 1 g.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -0.5, -199, 0.3, 8.\nAnswer: -199, -6, -0.5, 0.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 16142, 64573, 145284, 258269, 403522, 581037, 790808?\n\"Answer: -h**3 + 16146*h**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.2888 and -5265175.8.\nAnswer: -5265175.5112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 167936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 10 = -3*f. Let g(n) = -13*n**3 + 3*n**2 + 2*n. Let x be g(-2). Suppose 4*l - x = -0*l. Solve 4*u - 5*u + l = -f*s, 0 = s + 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00383136 rounded to five decimal places?\nAnswer: -0.00383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 148686601099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 24407 (base 10) to base 16\nAnswer: 5f57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.06 in -2\/5, 2, 1, 3\/7, -9?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00991 rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 336122 to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 21120121010100 (base 3) in base 4?\nAnswer: 33113023032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5610*t**2 - 6*t - 5608*t**2 - 7*t.\nAnswer: 2*t**2 - 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -460*b + 455*b + 30. Solve 0 = -b*x + 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -4*t**2 + 231*t - 171. Let o be j(57). What is the nearest to 0.7 in 28, o, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -949*c - 1043.\nAnswer: -949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(1\/2)*x)**19)**(-4\/17) assuming x is positive.\nAnswer: x**(-114\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 34*n**2 - 44*n**2 + 12*n**2 + 30*n**3 - 2*n**3 + n**3 + 0*n**3 + (-2*n**2 + n**2 - n**2)*(-n - 1 + 1).\nAnswer: 31*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -87?  (a) -1\/3  (b) 2  (c) -5  (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 29 - (17 + 15) - (-2 - 11)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**2 - 210*q - 5146. Determine v(-28).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(2\/15*-5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**12*a**(-23) assuming a is positive.\nAnswer: a**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -195067527, -195067528, -195067529, -195067530, -195067531?\n\"Answer: -w - 195067526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 80 = 9*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -27548 + 27591.47. Round p to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -0*f - 9. Suppose -72 = k - 23. Calculate the lowest common multiple of (-427)\/k + (-2)\/(-7) and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*m + 85 + 7 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*r**4 + 474*r**3 + 64831*r.\nAnswer: -72*r**2 + 2844*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1120002112 + 10?\nAnswer: -1120002102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 65\/30*(4*1 + 42 + -52).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:03 AM and 7:09 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 36467075?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 17. Let m = 3 + k. Suppose -p = -m - 0. What is the greatest common divisor of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.07 + -0.07. Let n = h - -2. Let j(p) = -2*p - 15. Let f be j(-8). Which is the nearest to n?  (a) -4  (b) f  (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -246 - -245. What is the nearest to k in 4, -2\/17, -2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -49360533 divided by 519.\nAnswer: -95107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 234 and 28626.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1*(-4)\/10 - 12\/(-20). Let d be 6\/((12\/1808)\/n). Suppose 0 = 6*b - 2*b + 4*y - d, -680 = -3*b - 2*y. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((-2)\/(-4)) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3650 and 4.\nAnswer: 14600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v\/v**(-7\/3))*v**(1\/8))\/(v\/v**(-4\/3)*v*v\/v**(-2)*v) assuming v is positive.\nAnswer: v**(-229\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i**3 + i**3 + i**3)*(1 - 3 + 1) + 88 + 4*i**3 - 59 - 2*i**3.\nAnswer: i**3 + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-5 + 4 - -44) + 21\/(42\/(-8)). Which is the nearest to l?  (a) 3\/4  (b) 0  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 5*n - 3*n. Let q = -57 + 13. Let c = q + 397\/9. Is n greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -25*i - 2. Suppose 16*t - 13*t = -5*p + 14, -5*t + 2*p = 18. Let s(k) = -2001*k - 161. Give t*s(o) + 161*v(o).\nAnswer: -23*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 750.99 - 751. Let d = 142 - 141.866. Let y = d - t. Round y to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 425 and 510.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 9*-5*2\/15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/5*w**2 + 0*w + 1\/5.\nAnswer: -(w - 1)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16 + 57 - (-87 - -95)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the second derivative of -g**7\/2520 + g**6\/45 - g**5\/10 + g**4\/4 - 10*g. Let b(j) be the third derivative of m(j). What is the tens digit of b(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, x: 4, n: 3, l: 1}. Give prob of picking 1 e and 2 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1\/10, 2\/21, 1\/19, 947?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 1\/1 + (-11)\/(-33)*19953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 3 = -4*s, -3*s - 751 + 755 = -7*o + 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 30134 and 5616?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9.2 - 10. Let b = 1.1 + h. Let s = -0.4 + b. What is the closest to 1 in s, 4\/7, -3\/5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 700 and 20.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (-8*215\/(-190) - 6)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 223786 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**2 + v - 1. Let i(y) = 3*y**3 - 11*y**2 + 2*y + 2. Give i(l) - 2*j(l).\nAnswer: 3*l**3 - 9*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y**3 + 3 - 3)*(1 + y - 1) + (1 - 5 + 2)*(0 + 0 - y**4) - 4*y**3 + y**4 + 4*y**3 + 43*y**4 + 63 - 63.\nAnswer: 47*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 3*b + 12 = 2*g, -4*b + 20 = 0. Let a be g - (1 + -3 + 1). Solve -6 - a = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 396  (b) 0.4  (c) 632\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 170682*h + 225855.\nAnswer: 170682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 34 + -8. Let q = 1 + b. Let h(d) = 2*d**3 - 41*d**2 + 18*d + 40. Let i be h(20). Is q at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 6*v**2 + 8*v + 11. Let a(y) = y. Let c be a(-3). Let w(k) be the second derivative of k**4\/6 + k**3\/2 + 2*k**2 + 1450*k. Determine c*p(d) + 8*w(d).\nAnswer: -2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 385\/440 - (-46)\/112?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -242*f - 821 + 553 + 268.\nAnswer: -242*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 811067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4068642.\nAnswer: 2, 3, 29, 67, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmmmm. What is prob of sequence mmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -16, 8502, 2 in descending order.\nAnswer: 8502, 4, 2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -4 - (-9 - (37 + (19 - 9) + -16))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 + 0 - (-2)\/(-2). Let z = j - -3. What is the third derivative of 5*g**4 + 2*g**z + 2*g**4 + 51*g - 51*g wrt g?\nAnswer: 168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -z + 2*z + 0*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -ac788 (base 14) in base 11?\nAnswer: -266538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -8*q. Let h(w) = -9*w. Let y be (1 - 119\/(-28)) + (-1)\/4. Give y*h(s) - 6*o(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 6, u: 5, m: 2}. What is prob of sequence uiui?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 103504 + -56955. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.25 + -0.25. Which is the fourth smallest value?  (a) -3  (b) v  (c) 4  (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -25 + 25. Suppose z = 9*q - 2122 + 205. What are the prime factors of q?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -12 + (-27 + 13 - -35)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 7 = z + 3*z, 0 = -w - 4*z - 9. Let s(b) be the second derivative of b**4\/2 + b**3\/6 + b**2\/2 - b. What is the units digit of s(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/4 - (-4)\/8*-15. Calculate the remainder when (f\/12)\/(5\/(-135)) is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -4*2*10\/(-5). Suppose -o + 2*p = 0, 4*p - z = -o - o. Is o <= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 + 2 - 4)*(0 - 4 + 2) - 1 - 2 + 1)*(9270 + l - 9270).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**3 + f**2 + 3*f - 2. Let d be z(1). Let w(v) = v**3 - v - 1. Let n(a) = 8*a**3 - 10*a - 10. Calculate d*n(c) - 10*w(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62 is divided by (-3)\/15 + 405\/25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 59 - (99 - 76) - 86.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5\/136 + -3\/34. Suppose 3*i = -13*i - 368. What is the biggest value in p, i, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -38, 24, -2\/23, 4 in decreasing order.\nAnswer: 24, 4, -2\/23, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b - 2*r + 52, 53 = 12*b - 7*b + 3*r. Suppose 0 = -5*g + b*g - 395. Calculate the remainder when g is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-11)*(j*j**(2\/11))\/j*j\/j**(-2\/3)*j**14)**(4\/3) assuming j is positive.\nAnswer: j**(772\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-14)\/4 + (-4)\/(-8). Let f(d) = d**3 + 3*d**2 + 5*d + 3. Give f(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -823264.122 to the nearest 10000.\nAnswer: -820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4457 - 4389. Solve 28*i = 45*i - m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.02 - 0.05. Let l = -9.082 - -9.382. Suppose 9*q - 4*q = 0. Put -2\/7, l, f, q in descending order.\nAnswer: l, q, f, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + 12. Let j = q + -11.7. Let h = 35\/3 - 181\/15. Which is the nearest to h?  (a) 1\/4  (b) 4\/9  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100111 + 1101?\nAnswer: 110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 3*w**3 - 4*w**3 + 1 - 9*w + 7 - 9*w**2. Let u = 15 + -24. Does 15 divide s(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*t - 13*t - 3374108 = -8*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r + 5 = -2*g + 20, -4*r = -4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (6 - 11)*(-2)\/5. Solve -a*c - 2*c - 4 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*l - 7*l - 6*l**4 + (-l**3 - l + l)*(-2*l + 2*l - l) - 3*l**4 + 5*l**4 - 4*l**4 + (0 + 1 + 0)*(-3*l**2 - 2*l**2 + 4*l**2)*(-7 - l**2 + 7).\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-55 + 75 + 125)*(-u**2 + 1 - 1)*(u**2 + 2*u**2 - 2*u**2) to the form t*u + n*u**3 + i*u**4 + m*u**2 + o and give i.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -509, -504, -497, -488?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1152351 + -46?\nAnswer: 1152306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-12)\/15 - (-2)\/10. Which is the closest to 0.1?  (a) 0.3  (b) 0  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 2*n - 123 = 3*n, p = 5*n + 66. What is the highest common factor of p and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o + 2. Let s be u(5). Suppose -s*h = -17 - 39. Solve -7 + h = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 110164226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 28867481 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -41 + 35. What is the lowest common multiple of 4*(5\/15)\/(q\/(-9)) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2 or 11313\/10201?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-18)*-3*18\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 + -5. Suppose z*s = -s + 12. Suppose -3*g + 44 = 4*i, -g + 18 = -i + 4*i. What is the greatest common factor of s and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.425 and -364.4956427.\nAnswer: -364.0706427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.95 + -2.05. Which is the nearest to -9?  (a) -3  (b) f  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 at least 24273\/358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3248.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.473 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -9.697 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 730687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 614 or 613?\nAnswer: 614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x*x\/x**(1\/4))\/x)**(-39)\/((x**(4\/5)*x)\/x*x*x**(-3)\/x*x) assuming x is positive.\nAnswer: x**(-1341\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -17848443 divided by -5?\nAnswer: 17848443\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**3 + 6*r**2 + 7*r - 2. Let n be v(-4). Suppose -n*i = i - 216. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 4. Let l(o) be the second derivative of 1\/48*o**4 + g*o**2 + 0 - 1\/12*o**3 + 2*o. What is z in l(z) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*d - 124 = -324 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 6*i + 2. Suppose 5*d - 28 - 27 = -2*c, 4*d + i*c = 61. Calculate the remainder when 22 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 35812, 71628, 107444, 143260, 179076?\n\"Answer: 35816*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -104494 + 104508. Suppose 4*c - 218 = 2*s, 4*s - 7*s = -3*c + 171. Calculate the remainder when c is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c**3 - 912*c**2 - 43914*c - 43000 = 0.\nAnswer: -43, -1, 500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*z - 2*z - z + (-z + 3*z - 5*z)*(2 + 0 - 1) + 12*z + 3*z - 20*z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -982.1 to the nearest ten.\nAnswer: -980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -527 - 218. Suppose n + 43 = 6*w. Suppose 2*z + 3*z - 40 = 0. What is the highest common divisor of z and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 298907626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (6\/4)\/((-3)\/(-102))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x - 11 = -7*x + 45. Factor -1\/2*d**3 + 1\/4*d**x + 0 + 0*d + 1\/4*d**2.\nAnswer: d**2*(d - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffzkkzff. Give prob of sequence ff.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-766)\/(-14) + 8\/28. Let l be q\/(-330) - 26\/(-12). Solve -20 = 4*i - 4*s, 3*i + 25 = -l*i + 2*s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -24*l - 17*l + 14*l + (l - l + l)*(3 + 1 - 2) - 7 + 144*l - 280*l + 140*l.\nAnswer: -21*l - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 599 + 2341 = 10*m. Is m a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ivhidihidxvjdx. What is prob of sequence vxj?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 637544 to the power of 1\/2, to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 833 + -347. Let l = -482 + b. What is the third smallest value in l, -8\/3, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7 + 3. Let w = 0.01 + -0.01. Let x = 0 + w. Which is the second biggest value?  (a) s  (b) x  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13926 = -116*a + 110*a. Calculate the remainder when a is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -3*y**2 + 1495*y - 2. Let u(q) = -q. What is n(u(r))?\nAnswer: -3*r**2 - 1495*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 2*j = 4*q - 2635, -3*j - 883 = -q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 5*l - 80 = -2*i, -3*i + 49 = l. Let p(f) = -f + 2. Let m be p(1). Solve -4*q = -m - i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -23*p**3 - 24*p**2 + 42*p + 5. Let h(y) = -8*y**3 - 8*y**2 + 14*y + 2. Give 3*f(b) - 8*h(b).\nAnswer: -5*b**3 - 8*b**2 + 14*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7541*f**2 + 7543*f**2 + 4*f + 4*f.\nAnswer: 2*f**2 + 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 3*s + 3*j, 3*s + 3 = 10*j - 6*j. Suppose s*v - v = 148. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*p**2 + 4*p - p**2 + 5*p + 0*p**2 wrt p?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-150 - -158) + (0 - (-1 - 0))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/4 + (-30)\/48. What is the closest to -2\/5 in 21\/2, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -72695 - -726231\/10. Let k = p + 72. What is the common denominator of k and (10\/15)\/(8\/15)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -126*m = -82*m + 528 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -24*q - 54*q + 12*q**2 - 45*q + 33 - 12*q.\nAnswer: 3*(q - 11)*(4*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -189 - -188.5. Let k = -62 + 58. Which is the third smallest value?  (a) 45  (b) k  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 2, -0.03, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-28)\/(-4) + 6\/(-6). Let o(b) = 6*b**3 + 6*b**2 - 5*b - 6. Let x(s) = -6*s**3 - 5*s**2 + 4*s + 5. Determine p*x(j) + 5*o(j).\nAnswer: -6*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 7*o - 52. Let f = 4 + o. Calculate the greatest common factor of 12 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 1447*t**3 + 23152*t**2 + 5788*t. Let v(r) = -r**3 - 4*r**2 - r. Calculate m(c) + 5788*v(c).\nAnswer: -4341*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14748 and 2352.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/252 and 107\/2844.\nAnswer: 19908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oooojooojooo. Give prob of picking 2 o and 2 j.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 3 + 2)*(s - 6*s + 0*s) - 2*s + 2 + 0*s + 0*s + (0 - 3 + 1)*(-2*s + 5*s - 2*s) in the form m*s + i and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 3, p: 11}. What is prob of sequence ppp?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -4*d**2 - 6*d. Let v(o) = -o. Let w = -157 + 151. Determine w*v(g) + m(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1580, -2376, -2226, -1130, 912, 3900, 7834?\nAnswer: 12714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 305, -3, -2 in decreasing order.\nAnswer: 305, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-8)\/(-12))\/(((-4)\/(-4))\/3). Suppose -4*j = -2*a - 7 + 7385, -11083 = -3*a + k*j. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 + -8. Let r = 0 + 0.2. What is the biggest value in -0.5, r, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 638716.\nAnswer: 2, 13, 71, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2\/17 + 5\/102. Let l(c) be the third derivative of 1\/20*c**5 + c**2 + 0 + 1\/3*c**3 - 1\/120*c**6 - a*c**4 + 0*c. Give l(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-14)\/(-49) - (-6478)\/14. Let q = 5087\/11 - v. Which is smaller: q or -1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8142.0161 or -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**2 + 81391*n + 32557578.\nAnswer: (n + 402)*(n + 80989)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**3 - 4*b**2 - 6*b + 5. Let k be o(5). Let u be (-12)\/(-28) + k - 0. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 520 and 12233.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/((-693)\/22)*-42*(-270)\/42?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 1749398170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -222 - 36 = -43*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 152582966798 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/((-3)\/(2 - 17)). Let l be 13\/i - (-3)\/5. Let j be 55\/4*(6 + l). Calculate the highest common factor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9 + -6. Let u be r + (-4)\/2 - -22. Suppose u - 9 = f + 4*z, 2*f - 4*z = 52. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/252 and 137\/688548.\nAnswer: 2065644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100 (base 4) to base 11.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*a = -61*a + 715. Is -143 equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*a - 5*o - 14, -2*a + 20 = -7*o + 3*o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -23\/60 - -2\/15. Let q = 45 + -45.015. Let o = q - -0.315. What is the third smallest value in o, u, -6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-1)\/(6\/2))\/(-1))\/((-21)\/260568*-188)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 762829*c**3*p**3 + 8*c**3*p**2 - 3*c**3 + 4431 wrt p?\nAnswer: 4576974*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -10 or 13256076\/5?\nAnswer: 13256076\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -193\/1955 - -1\/85. Sort 6, -5, o in increasing order.\nAnswer: -5, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 15*r**5 - r**3 - 26*r**2 - 5?\nAnswer: 900*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -44652*f**2*l**3 + 32*f**2*l**2 + 938599*f**2 with respect to l.\nAnswer: -133956*f**2*l**2 + 64*f**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lytttttllyit. What is prob of sequence tl?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 65 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3013 - 2039. List the prime factors of x.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.26 greater than 0.334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 77957 - 77957 - 556*x.\nAnswer: -556*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 18408290 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37 = 5*c + 3*f, 4*c + 3*f - 24 = 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 7*h**2 + 313*h. Let x(s) = 9785*s. Determine i(x(b)).\nAnswer: 670223575*b**2 + 3062705*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-407)\/(-44)*8 + (1 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59bb4 (base 14) in base 15?\nAnswer: 44db0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 6*c + 180 = 0, 3*y - 38*c + 110 = -34*c. Let g be (-4)\/(-6)*(-1)\/(-6). Put y, 3\/4, g in ascending order.\nAnswer: y, g, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0 + 6 + -13 - -12. Put l, 4, 1, 13 in descending order.\nAnswer: 13, l, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -11273*v + 33698. Give k(3).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (-9 + 10 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 449*w**5 - 3*w**6 - 928*w**5 + 6*w**6 + w**2 + 2023 wrt w?\nAnswer: 360*w**3 - 28740*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 541490 to the power of 1\/2, to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (161 + -195 - (-9 - (0 - 0))) + (4 - 1)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5237 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 4*m + 0*m + 216 = 0, -2*m + 1014 = 5*k. Suppose 5*w - k = 4*z, 0*w + 200 = 5*w - 5*z. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*n - 2*n - 3*q + 25, -5 = 3*n - 4*q. Suppose n*m - 2*b = 42 + 13, 11 = m - 3*b. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -24, -46, -82, -132?\n\"Answer: -7*i**2 - i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 760 at least 811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 17895*v**2 - 10*v - 3. Let u(o) = -8954*o**2 + 6*o + 2. Let z(y) = 3*i(y) + 5*u(y). Let j(t) = -2*t. Calculate j(z(x)).\nAnswer: -17830*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -271.5 rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*v + 36*v = 2*k + 9, -5*v - 4*k + 17 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4775369 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 - 2)*(-3)\/(-2). Let h(m) = 2*m**3 - m**2 - m - 1. Let v be h(-1). Let t be v\/18*(3 - 2). Which is the second smallest value?  (a) l  (b) t  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/366269796 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 5*p + 2*n, -8*p = -5*p - 2*n - 12. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 1695 + 1051 = 4*x, x - 698 = 5*b. Suppose 5*a - 2008 = -x. List the prime factors of a.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/7?  (a) -0.17  (b) 3  (c) 2.1404  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 5*r - 240, 3*r - 3*y = 81 + 63. Suppose 10*x = 9*x + 4*q + 30, -3*q - 185 = -4*x. Which is greater: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2416.3962 months in decades?\nAnswer: 20.136635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1958, 3920, 5872, 7808, 9722, 11608, 13460, 15272?\n\"Answer: -r**3 + r**2 + 1966*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(176) - (-2 + -1*sqrt(176) - sqrt(176))) + (sqrt(176) - 3*(sqrt(176) + -1)))**2 - ((1*sqrt(176))**2*5 - -5*(sqrt(176)*-2)**2)) + 0.\nAnswer: -4199 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 5*k**2. Let g(i) = 26*i**2 + 12*i - 4. Determine g(q) - 6*v(q).\nAnswer: -4*q**2 + 12*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000055533991 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) -0.028  (c) 176\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 b, and 1 w when three letters picked without replacement from {q: 1, f: 2, j: 2, k: 1, b: 1, w: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12407615.\nAnswer: 5, 11, 433, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 4, s: 7}. What is prob of sequence ssss?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 247*l + 265. What is the remainder when a(3) is divided by 126?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l + 2. Let s be p(0). What is the second derivative of -9 + 2*b**s + 9 + 2*b wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -49 + 27 + 22 - 3*p. Let n(d) = 19*d. What is f(n(i))?\nAnswer: -57*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -49 - -3*(-2)\/(-3). Let h = q - -68. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a + j - 15, -a - 4*j = -6*j + 10. Sort 17, -3, a, -1 in descending order.\nAnswer: 17, -1, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -268\/221 + 18\/17. Let w = 0.1 + -2.1. Which is the second smallest value?  (a) 0  (b) w  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -249.6 - -249.5. Let i = 0.01 + -11.01. Which is the smallest value?  (a) k  (b) 1  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = -5*f - r, 3*f - 5 = 75*r - 74*r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/17*v**2 - 662\/17 + 660\/17*v.\nAnswer: 2*(v - 1)*(v + 331)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*s**2 + 6 - 6 + (-4*s + 0*s + 3*s)*(-3*s + 6*s + 0*s) to the form f*s**2 + j + g*s and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 - (-2 - -36))*1. Let t = -23 - d. Let l = t + 11. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q - q + 8454. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 38*t**4 - 3*t**3 - 3*t**2 + 15*t. Let u(s) = 39*s**4 - 4*s**3 - 4*s**2 + 16*s. Let j(l) = -4*i(l) + 3*u(l). Find the second derivative of j(o) wrt o.\nAnswer: -420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m**5 - 36*m**4 + 44*m**3 + 104*m**2 - 186*m + 76 = 0. What is m?\nAnswer: -19, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 2*n - 2 = 2, -2*n = -3*o + 4. Let m be (21\/((-840)\/32))\/(72\/30 - 2). Sort -5, 5, o, m in descending order.\nAnswer: 5, o, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 + -4 - (32 + 13)) + (7 - -3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3338563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -6569, 32, -2 in ascending order.\nAnswer: -6569, -2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5739.933 - -5740. Let h = -43.5 + 49.567. Let n = m - h. What is the fourth smallest value in n, 1, -0.5, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*p - 4*p + p - p - 1 + 1 + (-2*p - 3*p + 3*p)*(0 - 1 + 2) - 2*p + 0*p + 0*p - 2 + 2 - p + (11*p - 6*p - 45*p)*(1 + 4 + 1).\nAnswer: -245*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:53 PM and 8:38 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 14) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 170, -56, 85\/3 in decreasing order.\nAnswer: 170, 85\/3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(405) + sqrt(405) + (sqrt(405) + -1)**2 + -1.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 14*t. Let n(v) = -v**2 - 41*v. Let k(p) = -3*n(p) - 8*x(p). Let j(z) be the first derivative of -z**2\/2 - 613. Determine k(j(o)).\nAnswer: 3*o**2 - 11*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*k**3 - 5*k**3 + 12*k**3 - 6*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.022 - -0.478. What is the closest to 0.3 in -1, a, -1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 2*x**2 - 2*x - 2. Let u be y(2). Suppose -3*g - 4*j - 31 = 0, 0*g + 3 = g - u*j. Is ((-6)\/(-15) + -2)*g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 89.8 + -90. What is the closest to 3\/8 in 1\/3, j, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 4*d - 3. Let n(j) be the third derivative of -j**7\/5040 + j**6\/720 - j**5\/30 - 3*j**2. Let f(u) be the third derivative of n(u). Give -b(r) - 2*f(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*p - 25*p = 34*p - 36. Put 3, p, 2, 7, -1 in decreasing order.\nAnswer: 7, p, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 7, n: 5}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(162) + -3)**2.\nAnswer: -324*sqrt(2) + 1026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 20.8 take away -0.03?\nAnswer: 20.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -65 + 64.2. Suppose 5*h = 12 + 3. Let k be h\/((-9)\/6)*(-1)\/2. Which is greater: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 276948566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -4566533 (base 10) in base 14?\nAnswer: -86c28d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*v**4 - 19*v**3 - 160*v wrt v.\nAnswer: 24*v**2 - 114*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2226125225 + 1?\nAnswer: 2226125226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6610245*f**3 - 2*f**2 - 54403903*f?\nAnswer: -39661470*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 140 = 8*s - 4*m, -4*m + 12 = 0. Calculate the remainder when 42 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 5*l - 1228 - 592 = 0, -5*l + 3665 = 2*y. List the prime factors of y.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 213689870?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 15, 4, -92, -16, -1 in descending order.\nAnswer: 15, 5, 4, -1, -16, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2046.78602 - 135958.\nAnswer: -133911.21398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*i - 2827 = 1232. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 24\/5220*(-4 + 1). Let m = q - 272\/1305. What is the closest to 2\/7 in -3, m, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -55*r**2 + 4 - 2*r - 58*r**2 - 33*r**3 - 83*r**3 + 111*r**2 as q*r + f + b*r**3 + y*r**2 and give b.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the second derivative of z**4\/6 + z**3 + 79*z**2\/2 + z - 28. Differentiate a(t) with respect to t.\nAnswer: 4*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3184 or -3183?\nAnswer: -3183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*q + 1801 = 561. Suppose q*i = 118*i + 3762. List the prime factors of i.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((c*((c**(-8)*c)\/c*c*c)\/c)\/c)\/(c*c\/((c**(-3\/5)*c)\/c)*c))\/(c**(-3\/2))**(-22\/9))**16 assuming c is positive.\nAnswer: c**(-3424\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 4563229 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 2*k**2. Let j(t) = 46*t**2 - 91*t**2 + 47*t**2. What is j(h(f))?\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/(4\/(16\/(-6))). Let k be (1\/7)\/((-248)\/434). What is the closest to 1 in k, n, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -p**4*q - 7564*p**3*q - 435*p**2*q + 10*p**2 + 26*p*q - q - 2 wrt p.\nAnswer: -24*p*q - 45384*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7170 and 380488?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 2 q when three letters picked without replacement from lwfqstq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y*y*y**(-1\/3)*y**2)**20)**(-7))**44 assuming y is positive.\nAnswer: y**(-86240\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1047822.\nAnswer: 2, 3, 174637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 222 is divided by 106?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the third derivative of -1\/24*f**4 + 0*f + 1\/30*f**5 + 3*f**2 + 0*f**3 + 0*f**6 + 1\/336*f**8 + 0 - 1\/105*f**7. Find w such that s(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 6 = 9. Suppose -y*v = -7*v + 44. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 105512*f**3 + 248958.\nAnswer: 316536*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 255, 2842, 7153, 13188, 20947, 30430?\nAnswer: 41637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -21 in -4, -0.09, -7\/5, 26?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - (-100 + 110 + (4 - -2))) + 40.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7.6 + -8. Let l = j - -0.54. Let o = 28137\/19 + -1481. Which is the nearest to l?  (a) 1  (b) -2\/9  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.006 - 0.023. Round a to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -75783, -75783, -75773, -75753, -75723?\n\"Answer: 5*u**2 - 15*u - 75773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1809 divided by -67\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -17.4 + 12.4. Which is the second smallest value?  (a) k  (b) 5  (c) 5.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 79 - 39 = 34 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 3*x**3 - x**2 - 4*x + 1. Let w be j(-3). Suppose -3*u + 5*s = -350, 2*s + 455 = 4*u + 7*s. Let c = u + w. List the prime factors of c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 599859581?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -451*l + 793*l + 1152*l = -133*l - 89485 for l.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(3840) + ((sqrt(3840) + sqrt(3840)*1)*2 - sqrt(3840)))\/(((sqrt(84) - (-4*sqrt(84) - sqrt(84)))*-3)\/sqrt(7)))**2.\nAnswer: 956\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**3 + 2*z + 28. What are the prime factors of s(0)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11374*r**5 + r**2 + r - 1521 wrt r?\nAnswer: 682440*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(9\/5)*p**3*p**(-7)*p**(-9\/4))**(-3) assuming p is positive.\nAnswer: p**(267\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1, 203, -3\/2, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1903066 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1755 and 0.7.\nAnswer: -1228.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x - 13 = -h, 3*h - 4*x - 1514 = -1489 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:35 AM and 8:17 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the first derivative of g**4\/6 - 3*g**3\/4 + g**2\/2 + 6*g + 3. Let k(j) be the first derivative of m(j). Factor k(u).\nAnswer: (u - 2)*(4*u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*g - 4851 = -28245. Suppose 4*u - s = g, 5 = u + 3*s - 131. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -138111063.49 rounded to the nearest one hundred thousand?\nAnswer: -138100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(24)\/((sqrt(96) + 2*sqrt(96))\/sqrt(8) + sqrt(12)))**2*-6 - 3*((sqrt(200) + 2 + sqrt(200))*4 + sqrt(200)).\nAnswer: -270*sqrt(2) - 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 240*j**3 + 3120*j**2 + j - 27. Calculate t(-13).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -3 - 0\/(-4) - -74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/6, -0.4, 3, -5 in decreasing order.\nAnswer: 3, -1\/6, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 546 = -3*x. Suppose -380*w + 11705 = 649*w + 98*w - 46899. Calculate the lowest common multiple of w and x.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -46 (base 8) in base 4?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -7*z**2 + z + 4. Let j be i(2). Let q = j + -37. What is the common denominator of -97\/2 and (q\/(0 - -1))\/(-5 - -19)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/(-84) - (-222637)\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 + 10521?\nAnswer: 10524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-1)\/2)\/1)\/(28\/14)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2745697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*(52\/(-4))\/(-156)*(-21)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10\/8 - (-1 - -2). Let b(c) = 24*c**3 + 2*c**2 - 2*c. Let h be b(2). Let k be (-1)\/(-4) - (-63)\/h. What is the third smallest value in 5, k, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 92, 5, -140, -343?\n\"Answer: -29*n**2 + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -144*f**2 + 29*f - 30. Calculate u(1).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppnnppbpnpbp. What is prob of picking 1 p and 2 n?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -44b85 (base 14) to base 16\nAnswer: -28c01","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is -1.6032601 rounded to 1 decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the first derivative of -v**4\/4 + 5*v**3\/3 - 2*v**2 + v - 4. Let o be r(4). Suppose -12*b - 4 = -64. Sort o, -5, b in increasing order.\nAnswer: -5, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 11*b**2 - 2*b + 1. Suppose 2*z = -0*z + 2. Let q be p(z). Let i be (-4)\/(32\/q)*4. Put i, 1, 3 in descending order.\nAnswer: 3, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3223818?\nAnswer: 2, 3, 13, 23, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in three tenths of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.4  (b) 1\/5  (c) -0.14  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -402 divided by 13.\nAnswer: -402\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**7*v*v**13*v)\/(((v\/v**2)\/v)\/v)**27 assuming v is positive.\nAnswer: v**103","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 974094786.\nAnswer: 2, 3, 7, 7730911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1494198 is divided by 3489.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 11:35 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, 110, 460, 1, -1, 0 in ascending order.\nAnswer: -5, -1, 0, 1, 3, 110, 460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1317 and 291?\nAnswer: 127749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*f**25\/f)*f**(-5\/2))**18 assuming f is positive.\nAnswer: f**(-477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0410498076 rounded to six dps?\nAnswer: 0.04105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 47636.223*-3\nAnswer: -142908.669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 2*d = -8*d + 1290, -4*c + 5132 = -4*d. What is the highest common divisor of 24 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.06, 4, -0.0378, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1133855  (b) 0.4  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the first derivative of -3*h**4\/4 - 10*h**3\/3 - 13*h**2\/2 - 9*h - 92. What is the tens digit of b(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -121717\/222 and -548 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 168247904*b**3 + 35199954*b**2.\nAnswer: 1009487424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 10920\/(-312)*(-45)\/100?\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the second derivative of -i + 0*i**5 + 0*i**3 + 0 + 0*i**2 - 1\/6*i**4 + 1\/30*i**6. What is the third derivative of t(g) wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17093370 divided by 2415\nAnswer: -7078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 294 + 323 - 1600 + 330 - 2*y + 327 + 328.\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -31, 0.8, 0.003?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5286 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1605092291?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-1060)\/(-3604)*(4\/26 - 261\/(-585))\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the second derivative of -x**9\/60480 - x**8\/13440 + x**7\/2016 + x**6\/480 - x**4\/12 - 41*x. Let o(w) be the third derivative of m(w). Factor o(i).\nAnswer: -i*(i - 2)*(i + 1)*(i + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1560 divided by -390\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 3, l: 5}. What is prob of picking 3 l?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -73, -333, -767, -1375, -2157?\n\"Answer: -87*n**2 + n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -61 + 38. Let d = 25 + f. Let l be (2\/(-5))\/((-1)\/5). Solve l*n - 3*q = 6*n - 20, 8 = d*q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83 = n - 110. Suppose n = i + 3*i + 5*k, 0 = 4*k - 12. Solve o - 2*u - 6 = -5*u, 0 = -i*o - 3*u for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -604, -617, -638, -667, -704, -749?\nAnswer: -802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -989923 - 6*v**2 + 989923. Let p(w) = 75*w**2. Determine c(p(h)).\nAnswer: -33750*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rmqqruoorqy. What is prob of sequence rym?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3936)\/(-7480)*(-400)\/(-120) + (-2)\/17.\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 11\/2 of a second?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 17099 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the third derivative of 0*k + 7\/27*k**3 - 1\/18*k**4 + 1\/945*k**7 + 1\/90*k**6 + 3*k**2 - 4\/135*k**5 + 0. Determine h, given that g(h) = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -44*a**2 - 990464*a + 174487018 wrt a.\nAnswer: -88*a - 990464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y + 166 = 886. Is 24 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 14\/(1050\/45) + (-1064)\/690 and -131\/84.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 + 2 - (0 + 1). Let t(y) = -6*y**j - 8*y - 2*y - y**3 - 6 + 3*y. What is the units digit of t(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*t - q, -3*q - 3 - 3 = 0. Suppose -4*g = -5*h + 172, t*h + 2*g + 32 = h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((108\/(-30))\/(-6))\/((925\/500)\/37).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is -9161 (base 13) in base 4?\nAnswer: -10320311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*c**3*r - 3698*c**3 + 199157530*c**2*j*r - 25414*c**2*j wrt r?\nAnswer: 3*c**3 + 199157530*c**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*q**3 + 4*q**3 - 3*q**3.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-4))**27*(d\/(d**(-12)*d*d))**(18\/5) assuming d is positive.\nAnswer: d**(-342\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-1124)\/(-4))\/((70\/(-315))\/((-148)\/6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1445\/9 + -161. Which is greater: 0.03 or f?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q - 5*f - 333, 2*q - f - 274 - 39 = 0. What is the highest common factor of 385 and q?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 - 11*h**2 + h - 12. Let s be q(11). Let w = s + 8. Let r be (2 - 16\/w) + (-19)\/(-91). Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 273682017 divided by 27?\nAnswer: 10136371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 2980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from {t: 5, z: 1, j: 1, a: 2, q: 3, s: 1}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 250, 304, 360, 418, 478, 540?\n\"Answer: o**2 + 51*o + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**3 + 6*q**2 - 2. Let r = -88 + 84. Let d be 3 - (0 - ((-2 - r) + 1)). What is x(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 5*s + 31, -2*t + 1 - 2 = 3*s. Let x be 4 - (-2 + 4) - s. Solve -2 = -3*y - x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8153 - -9239. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and 8.417918.\nAnswer: 0.8417918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7895510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*c**2 - 4*c**2 + 2*c**2 + (-2 - 2 + 2)*(-3*c + c**2 + 3*c))*(-2 + 2 + 3) as x*c + v + j*c**2 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6792532*n**2 + 1598112*n**2 - 3316648*n**2.\nAnswer: -8511068*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2\/11, -27, 2 in increasing order.\nAnswer: -27, -1, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 4*k - 2*k + 14 = 0, -3*k = 12. Suppose -5*a - x = 4*u - 16, -a - 1 = -3*u. Let b = -3 - 1. What is the smallest value in u, b, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 407199?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8 + 8. Let d(t) be the second derivative of 1\/30*t**4 + 0*t**2 + z + t - 1\/15*t**3. Solve d(g) = 0 for g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*(-2 + -6*sqrt(3072))*-3*6)**2 + 0)*5.\nAnswer: 1244160*sqrt(3) + 179165520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -831576513*h*k*n + h*n - 2*k - 16982157*n - 10 wrt h?\nAnswer: -831576513*k*n + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p = 42*p + 45*p + 6975 - 9263 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 252 a factor of 367614048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (40\/15 - (2 - -1))*0. Let h(n) be the first derivative of c*n - 2 - 1\/15*n**3 + 1\/10*n**2. Factor h(g).\nAnswer: -g*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((140\/64)\/(-5)) - -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*w + 3 = -10*w - 0, 7*m - 12*m = w - 52 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -2*p + 4602 + 10122, f - 29462 = -4*p. Calculate the greatest common factor of 60 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**3 + 6*t**2 - 10. Let l be n(-6). Let w = l + 22. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -788.04963 + 788.59. Let m = 0.54 - n. What is m rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 3*j**2 + 13*j - 58. What is the hundreds digit of s(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 4*x = -4, -2*x + 19 + 4 = 5*c. Suppose -5*o + c*d = -38 - 137, 5*o - 175 = 4*d. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 3 j when four letters picked without replacement from {g: 8, j: 6, i: 3, l: 1}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (5\/(-3))\/(1\/(-3)). Let v(u) = 6 + 11*u - p*u - 34 - 13 + u**2. What are the prime factors of v(-17)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 23, 32, 53, 92, 155, 248, 377?\n\"Answer: i**3 + 2*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 11*v**2. Let g(b) = -1041*b. Calculate x(g(d)).\nAnswer: 11920491*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l - 0*l. Suppose -5*w + 4*k + 41 = l, -3*k + 6 = -w + 23. Let b = 11 - w. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*l**2 - 2502*l - 20208.\nAnswer: 3*(l - 842)*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 - -13. Let b(c) = c - 2. Calculate the remainder when b(u) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 1628*g + 12. Let v(d) = 39052*d + 286. Determine -6*v(l) + 143*z(l).\nAnswer: -1508*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 60.1 - 60. Is o less than or equal to 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*8\/16*(-2 - (-760)\/372)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes before 3:13 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1544971 is divided by 5701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f + 4*f. Let z(u) = u**3 - u**2 - u + 2. What is the units digit of z(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.049 * 110.1.\nAnswer: -5.3949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 61 + -38. Let w(q) = -27*q + 78*q - 27*q - x*q. Let l(v) = -v - 11. Let m be l(-5). Give w(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 63 (base 12) to base 7\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -965 > -967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3abd7e4 + -9?\nAnswer: 3abd7da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 4*t - o, 5 = -5*t - o + 26. Suppose -t*l + 14 = -196. Suppose -75*g - 36 = -81*g. What is the greatest common factor of l and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*y**3 - 22 - 5 + 26 + 197*y**3.\nAnswer: 199*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -4*n**2 - 6*n - 103. Let g(t) = 5*t**2 + 7*t + 104. Determine -6*g(m) - 7*y(m).\nAnswer: -2*m**2 + 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 + 32. What is the highest common divisor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 431*d + 34482. Let x be p(-80). Let -125\/2*u**x + 935\/6*u**3 + 0 - 605\/6*u**4 + 15\/2*u = 0. Calculate u.\nAnswer: 0, 3\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 38\/14 - (-12)\/42. Suppose -z*w = -6*w. Suppose 0 = -w*n + 4*n - 3*d - 237, -175 = -3*n + 5*d. Is n a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -k**4 + 5*k**4 - 2*k**4 + (3 - 3*k**3 - 3)*(-94*k + 369*k + 258*k) + (k**4 + k - k)*(-2 - 2 + 3) to n + p*k + u*k**3 + q*k**4 + g*k**2 and give q.\nAnswer: -1598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 22 = -0*w. Let x be (w\/(-22))\/(1\/2). Suppose 0 = 3*c + c + 16. What is the second biggest value in c, 0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/10*(-21 - -28 - 17). Solve b*g + 4*m = 3*g - 11, 3*m - 9 = -5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15*12\/(-40)*4\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 3*f**5 + 15*f**4 - 6*f**3 - 30*f**2 + 3*f + 15 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-38\/7)*b\/(b\/((b**(2\/11)*b)\/b)))\/((b*b*b**(-46)\/b)\/b)**(-11\/4) assuming b is positive.\nAnswer: b**(-20289\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 15599 plus -576?\nAnswer: 15023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -2*f. Let z(c) = 2*c**2 + 4695*c. Give s(z(u)).\nAnswer: -4*u**2 - 9390*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -377*b**2 - 6529*b wrt b.\nAnswer: -754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 16\/29?  (a) 2  (b) -4  (c) -0.2  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*1*(-1)\/1*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 754.3402 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1386 and 1751148?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyna when four letters picked without replacement from annanaynnlnyaanann.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 4*t = 4, -4*k - 3*t = -2*t - 84. Let r be (-34)\/(-3) + (22\/(-3))\/(-11). Solve -r*z = -7*z + k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 67, 0.3, 0, -85, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22295 and 23324.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-2\/3)*q*q**(-2))\/(q**(-2\/7)*q)**18 assuming q is positive.\nAnswer: q**(-305\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 6 = -h - 10, -3*h + 22 = -2*y. Let d(m) be the first derivative of 72 - m**2 - 140 - 4*m - m - 2*m - 330. Determine d(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 65240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 213812 and 258?\nAnswer: 27581748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 40071010 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -20920 divided by -2092?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = 2*w - 7. Let a = w - 13. What is the highest common divisor of 152 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the second derivative of -1\/30*f**4 + 4\/15*f**3 - 5*f + 0 - 4\/5*f**2. Factor u(c).\nAnswer: -2*(c - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(2430) + -2*sqrt(2430) - sqrt(2430))\/(-1*sqrt(6)*1).\nAnswer: 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 2*y = -0*t - 14 + 26, 0 = -3*y - 3 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/(1\/(-50)*-6). Solve -2*b = 3*b + v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(187) - sqrt(187))*3*4)\/(((sqrt(33)\/sqrt(3) + sqrt(11))*-1 - sqrt(11)) + -2*sqrt(704)).\nAnswer: 48*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 m, and 2 j when four letters picked without replacement from mjmmnjm?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -72482*0.041.\nAnswer: -2971.762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/60 and 187\/93240?\nAnswer: 93240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3 + (133\/18)\/(8\/(-24)) and -53\/27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 11893*p + 880770. Give f(-74).\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -60, -16, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 3*x - 7. Suppose -2*f - 5 + x = 0. Solve -3*v - f = 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 5*i - 2*c - 44, -3*i + 29 = -5*c. Suppose i*g - 10*g = -156. What are the prime factors of (g\/(-8))\/((-9)\/24)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 539\/770*13\/(78\/48)?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 252.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -230*a*j*k + 29*a*j*m - 12*a*j + a*k + 400*j*k*m - 2*j*k + 2*j*m - 162*j + k*m - 1 wrt a?\nAnswer: -230*j*k + 29*j*m - 12*j + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -62*d + 6. Suppose h = -3*r, 3*r = -0*h - 5*h - 12. Let z be l(r). Let y be (-182)\/z - 3\/(-4). Solve y*w = 2*a - 10, 5*w = -3*a + 2*a + 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/9)\/(-21 - (75250\/105)\/10).\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 45 = -5*f, -4*h = -5*f - 3*h - 29. Let g = -4 - f. Let z = 2 + -2.5. Which is the biggest value?  (a) g  (b) -4\/5  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vdd when three letters picked without replacement from {v: 7, d: 9}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 4*j**2 + 115*j + 91. Does 115 divide n(-43)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a + a - a)*(2*a - 3*a - a) - 4*a**2 - 2*a**2 - a**2.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45240 is divided by 59?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2431124 divided by -25.\nAnswer: -2431124\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 2399665.1 days?\nAnswer: 342809.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 86, 349, 786, 1397, 2182, 3141?\nAnswer: 4274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 176683342 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 - -6. Let r = -5 - -37. What is the highest common factor of v and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -815*m - 5594 - 13672 = -405*m + 604*m for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -97260 rounded to the nearest 1000?\nAnswer: -97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of k**3 - 1493*k**2 - 49*k - 56851?\nAnswer: 3*k**2 - 2986*k - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*u**(-11))\/(u**(-6\/13)*u) assuming u is positive.\nAnswer: u**(-124\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m + 1. Suppose 2*z - 2 = 8. Suppose 0 = -p - 2 + z. Let a = -3 + p. Calculate l(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 23.33503 tonnes?\nAnswer: 23335030000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the second derivative of -z**5\/270 + z**4\/54 - 3*z**2\/2 - z. Let b(o) be the first derivative of c(o). Factor b(v).\nAnswer: -2*v*(v - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gtng when four letters picked without replacement from {g: 6, n: 4, t: 3}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the second derivative of 1\/14*w**2 + 0 - 2\/21*w**3 + 1\/14*w**4 - 1\/35*w**5 - 3*w + 1\/210*w**6. Determine t, given that j(t) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1.6, 20, 3, -3, 139?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = -2*a - 5*h, 2101*h - 2099*h = 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -8*z - 6. Let q be k(14). Let l = q - -120. Suppose l*m - 2*c - 562 = 0, 0 = -5*m - c + 875 + 524. Is m a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 6.54002424 and -5884?\nAnswer: 5890.54002424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 6*i = 76. Let m = i - 18. Is 24 - (m\/1 + -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 336, 694, 1052, 1410, 1768, 2126?\nAnswer: 2484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 4252007 = -2*w, 0 = -2*p + 39*w - 41*w + 1700798. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 divided by -80.\nAnswer: 11\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -11394 - 0.037\nAnswer: -11394.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -16, -30, -50, -76, -108, -146?\n\"Answer: -3*v**2 - 5*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1210461391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -2*m - 25 + 337. Let f(q) = -q**3 + 8*q**2 - 8*q + 3. Calculate the remainder when m is divided by f(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -15*b**2\/2 - 5748*b - 2298 = 0.\nAnswer: -766, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1281 - 1277. Solve k = -n, 5*n - z*k - 8 = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/90 and -107\/84096.\nAnswer: 420480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m\/m**(-1\/3))\/m)\/m)**(-8)*m**(-2\/19)*(m\/(m**(-4)*m))\/m*(m**1\/((m**(2\/19)\/m)\/m))**(2\/33) assuming m is positive.\nAnswer: m**(479\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 4*y - 19. Let g = -13 + y. Let t(i) = -i**3 - 8*i**2 - 14*i - 9. Let q be t(g). Solve -p - q*m = 2*m + 2, 4*m - 8 = 4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = 2044*g - 2050*g. Calculate the greatest common factor of 28 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-26)\/13)\/(2\/5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 1 - 2 + 2 - 5 + 2 + 1 + 5 - 5 + (0 + 0 - 1)*(-3 + 3 - 2) - 15 + 25 + 21)*(5*d - 2*d - 5*d)*(0 + 6 - 2) - 6*d + 2 - 2 - 1 to q*d + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 12:09 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes after 4:21 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6747?\nAnswer: 3, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -878729 by -29.\nAnswer: 30301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 2*d + 9. Let f = -49 + 105. Suppose 5*n = -2*n - f. What is q(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 69*w - 32 - 46. Is w smaller than 2\/17925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 401 is divided by 247?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25177924?\nAnswer: 2, 6294481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (8\/(-5)*(-277)\/(-277))\/((-12)\/450)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 97110?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 140 - 160 = -4*p. Let w be ((-30)\/(-4))\/((-5)\/1090). Is (((-20)\/12)\/5)\/(p\/w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -3 + sqrt(208) + 3 + 4)**2 - (-2 + (1*sqrt(468) - ((sqrt(13) + sqrt(91)\/sqrt(7) - sqrt(13)) + 0))).\nAnswer: 27*sqrt(13) + 226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2, 3, 6, 17, 42, 87, 158, 261?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -0.4, 2, 1\/4, -4\/5, -0.0666 in increasing order.\nAnswer: -4\/5, -0.4, -0.0666, 1\/4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:46 AM and 10:25 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 6027*u**2 + 6032*u**2 - 2*u**3 - 2*u + 4*u**4 - 12066*u**2 to the form m*u**2 + k*u**3 + w*u + c + s*u**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -2, 0.016, 292?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in twenty-one fifths of a minute?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 33  (b) -0.45  (c) -0.02  (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 144*f**3 + 159*f**3 + 145*f**3 + 147*f**3 - 582*f**3.\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*z + 2*z - 6*z + ((-2*z + 0*z + z)*(1 + 3 - 6) + 0*z - z + 0*z)*(-3 + 2 + 3).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bwwb when four letters picked without replacement from bbbwbbwbbbb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the first derivative of 4*j - 7 - 20*j**2 + 14*j + 28 + 19*j**2. Is x(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0 + (-3)\/((-393)\/(-192) - 2). Let s = 67 + l. Which is the third smallest value?  (a) 1\/11  (b) s  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9417 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 2*p**3 - 8*p**2 + 28*p + 29. What is the hundreds digit of k(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7412 is divided by 573.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 2*n, -5*c + 4*c - 2*n = -116. Calculate the remainder when c is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8403?\nAnswer: 3, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5, -31, 0, -8?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) -0.01  (b) 0.2  (c) -1  (d) 0.3  (e) 14  (f) 252\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-9)\/(p*p**(5\/2))*(p**(1\/16)*p*p)\/(p\/p**(-34)) assuming p is positive.\nAnswer: p**(-727\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6102762 by 1273.\nAnswer: -4794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 74 and 82205009.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -5*x. Let j = -1181 - -1196. Let n(l) = 35*l. Let d(q) = q**3 - 5*q**2 + 5*q - 2. Let m = -7 - -11. Let y be d(m). Determine j*f(u) + y*n(u).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.3 + -3.3. Let j = -18 + 53\/3. Which is the closest to j?  (a) -4  (b) 2  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 - ((-30 - -24) + 36)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-75)\/125 + -31*5\/75?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 160082953?\nAnswer: 5281, 30313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - (3 - (-927)\/(-15))) + 6172\/(-7715).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 2*h**3 - 3*h**2 + 3*h - 2. Suppose 2*d = 4*p - 12 - 18, -5*d = -p + 30. Let k = p - 3. What is the lowest common multiple of j(2) and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 - 4662876?\nAnswer: -466287a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18)\/20*135\/81?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes after 5:48 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.5, -4, 3233\/3, 2\/5, -18, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2 + 44\/33 - 1*0\/2. Factor 16\/3 + 12*t - q*t**2.\nAnswer: -2*(t - 4)*(5*t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -891158175 at most as big as -891158175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -182805.90349 + 182129.9. Let g = -676 - b. Round g to 4 decimal places.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xg when two letters picked without replacement from gxxxxxxxxxxx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 36*a**2 - 5*a + 2. Is k(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1848*l**3 + l**2 - 1742*l.\nAnswer: 11088*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-675)\/(-30))\/(-3)*32\/(-10). Let l(m) = -m**2 + 4. Let v be l(5). Let w = 25 + v. Solve 4*z = -4*h + 3*z - k, 0 = -w*z - 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 8*p + 50. Let n be c(-10). What is the remainder when 35 is divided by 1\/((-63)\/n + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -1551*c + 1 + 5723*c + 59161*c. Let p be h(3). What is p rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sshhhlssshh. What is prob of sequence lss?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.1 + -0.2. Let l = 9 - 10. What is the closest to h in -0.5, 2, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10 + -4. What is the tens digit of l\/(-1)*(-3 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and 2842051.\nAnswer: 284205.1","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*(-2)\/(-2) + 1. Let d be 0*(-4 + 3\/1). Let r be d - -3 - (-3)\/(-1). Does z = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = 5*x - 205, -83 = 21*c - 23*c - 3*x. Solve 0 = 9*s - s - c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -3*i**4 + 867*i**3 - 16818*i**2 - 17688*i = 0.\nAnswer: -1, 0, 22, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 253 is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1011953 is divided by 2181.\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 114645952 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: Simplify -6*(sqrt(64)\/sqrt(2) + -5).\nAnswer: -24*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -112331020 (base 4) to base 12\nAnswer: -464b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(1\/2)*z)**(9\/7)\/(z**(-2))**(-2\/15)*((z*z\/((z**4*z)\/z))\/z**(-2\/7))\/((z**(5\/6)*z)\/(z**(-7)*z)) assuming z is positive.\nAnswer: z**(-276\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 274 + -3283628?\nAnswer: -3283344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3195)\/100)\/(-9) - (10\/(-125))\/((-130)\/(-325))?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 3*o**2 - 2*o + 2. Suppose 0*b - 3*x = -2*b + 61, 0 = -3*b + 3*x + 87. What is the remainder when b is divided by g(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 378 and 5520123?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -15779 divided by 1\nAnswer: -15779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 46960*i**4 + i + 26620.\nAnswer: 563520*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -0*b + 2. Let s be b\/(665\/(-165) - -4). Calculate the greatest common factor of s and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 12, 5\/28, 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -7022.7551 to the nearest ten.\nAnswer: -7020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + 1 + 8\/4. Let r(s) = -5*s**2 + q + 2*s**2 - 2. Let y(j) = -2*j. What is y(r(g))?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.1, -25, -5, -2\/5, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -100021 (base 4) to base 9\nAnswer: -1367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 250\/(-120)*4*2\/(40\/(-12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 4*u - 259184*u**2 - 8*u + 2*u + 9 + 3*u. Suppose n = -3*n, 2*n - 28 = -4*k. Let r be y(k). Round r to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1\/16 of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that v**4\/4 - 977*v**3\/2 - 4532335*v**2\/4 - 464562236*v + 3789264336 = 0.\nAnswer: -743, 8, 3432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.4 - 0.35. Let o = 0.398 + -0.34. Let y = n - o. Round y to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -46*d**2 + 2. Let g(p) be the first derivative of 32*p**3\/3 - 2151. Calculate c(g(z)).\nAnswer: -47104*z**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**3 - 3*p**2 - 4*p - 4. Let y(u) = 2*u**2 + 14*u + 9. Let k be y(-6). Calculate the smallest common multiple of 8 and m(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 4*u + 32 = 0, 7*u = 2*u - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the first derivative of 162 - 5*j**4 - 4\/5*j**5 + 0*j + 0*j**2 + 8*j**3. Factor l(g).\nAnswer: -4*g**2*(g - 1)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-30)\/(-8))\/((-6)\/(-16)). Let f be 4\/10*d\/4. Solve 3*b + 5 = -f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -383, -965, -1545, -2123, -2699, -3273?\n\"Answer: x**2 - 585*x + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 7 = 5. Is -2 + 184\/x - 0 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -8660, -17329, -25998?\n\"Answer: -8669*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 113 - 94. Let q(l) = l**3 + 3*l**2 - 4. Let a be q(-3). What is the remainder when b is divided by (-9)\/(-36) + (-39)\/a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 106312 is divided by 818?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -55 - -58. Suppose 0 = 4*u - 4*h - 28, -14 = u + 5*h + t. Solve 2 = -u*z - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 243 minutes before 8:07 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 5*o + 48. Let a(h) = 1. Let s(i) = -2*a(i) - 2*z(i). Let j be s(-9). Let v(r) = -r**3 - 9*r**2 - 8*r - 5. Calculate v(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dkkkkkkddkkkkkkdkkkk. What is prob of picking 3 k?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 - 4)\/((-50)\/11725). Calculate the greatest common divisor of d and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -46.3876 + -0.0124. Let b = 46.51 + h. Sort -1, 1, -0.2, b in increasing order.\nAnswer: -1, -0.2, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 585 and 39107835.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 5, h: 4, p: 6}. What is prob of picking 3 h and 1 b?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -71 divided by -18\nAnswer: 71\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14649150 and 318?\nAnswer: 776404950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the second derivative of 4*y + 0 + y**2 - 2\/3*y**3. Differentiate d(m) wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 times -5.73?\nAnswer: 74.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 0*c**2 + c**2 - 3*c**2. Let q(u) = 58*u**2 - 2*u + 2. Let s(z) = 598*z**2 - 20*z + 20. Let r(h) = -10*q(h) + s(h). Give r(i(f)).\nAnswer: 72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 3 = -z, 2*i - 9 = -10*z + 5*z. Let g = 4 + z. Suppose -g*b - 5*l + 40 = 0, 0*b - 22 = b - 5*l. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, l: 1}. What is prob of sequence ld?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -44*w + 40*w. Suppose 0 = -3*j + 2*h - 6*h - 3, -3*j + 5*h + 24 = 0. Suppose j*y = y + 4. Which is bigger: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.38, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*p**3 - 3*p**3 + 0*p**3)*(0*p + 2*p - 4*p) + p + p + 5*p**4 - 7*p**4.\nAnswer: -6*p**4 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 895161 = 3*x - 2327365, 1432195 = 3*x + 5*k. What is x rounded to the nearest ten thousand?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 183 = 15. Calculate the greatest common divisor of 105 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3518831.7 rounded to the nearest 100000?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 + 11 + ((-31 - -6) + 9 - -9).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, 1, -2.1, 1\/9, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 80, 317, 724, 1307, 2072?\n\"Answer: m**3 + 79*m**2 - 7*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/35)\/((-2)\/10). Let a = -39 - -157\/4. What is the closest to i in a, 1, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 + 120110220020010?\nAnswer: 120110220012222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from {f: 1, h: 5, w: 2, x: 1, b: 8}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1958 + 1969.1. Which is greater: k or -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.7, -829686, -3\/2 in increasing order.\nAnswer: -829686, -3\/2, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 3, l: 3, q: 6, w: 1, y: 2}. What is prob of sequence lye?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2834 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pfofppvvpppdpff. What is prob of sequence pfod?\nAnswer: 1\/1170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**3 - 5*a**2 - 4*a + 2. Let v be c(-4). What is the closest to -1 in 2\/7, v, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the third derivative of -1\/90*s**5 + 0*s - 1\/180*s**6 + 0*s**3 + 0 - 5*s**2 + 1\/18*s**4. Factor m(w).\nAnswer: -2*w*(w - 1)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -3*t**2 + 2*t + 1. What is k(-3)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 476075379?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1849384?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6391 in 11.85, 1\/11, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/10 - 256467572\/(-16215). Let i = -15817 + a. Find the common denominator of -41\/18 and i.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - p = -80. Let j = -81 - -84. Solve -b - j*b + p = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*n**3 + 2*n**3 + 4*n - 11*n**3 - 2*n.\nAnswer: -9*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1123, 2262, 3391, 4504, 5595?\n\"Answer: -s**3 + s**2 + 1143*s - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 2*y = -16, -3*y = -964*f + 962*f - 19 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 118\/385 - 4\/11. Let h(f) = f - 5. Let i be h(4). Let a be i\/(1*(0 - 1)). Which is greater: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.05 - 0.05. Suppose 3*k = -0 + 3. What is the closest to k in 0.3, q, -1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/30*15*16\/(-80)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 14 + -329 + 316?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24*1\/24*-11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -351, -229, -111, 21, 185?\n\"Answer: 3*v**3 - 20*v**2 + 161*v - 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 25 + 4723642255.\nAnswer: 4723642280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 747 (base 10) in base 6?\nAnswer: 3243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.47 * 0.117.\nAnswer: 0.05499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 449*u**2*v**3 + 3*u**2*v**2 - 2*u**2*v - u*v + 2*v**3 + 12899*v**2 wrt u.\nAnswer: 898*v**3 + 6*v**2 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -105, -865, -2913, -6891, -13441, -23205?\n\"Answer: -107*a**3 - 2*a**2 - 5*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2 and 6688?\nAnswer: 6688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 2*q + 0*q - 1 + 6. Let h(m) = 61 + m**3 + 3*m - 58 + 0*m**3. Let r be h(-1). Let x(b) = -b - 1. What is r*z(f) - 3*x(f)?\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*f**2*j*r + 103*f**2*r - 253*f*j*r - 2*f*j + f*r + 6 wrt f.\nAnswer: 4*j*r + 206*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20 - 28. Let a be 6\/15 - y\/(-20). Suppose a = -9*x + 742 - 220. What are the prime factors of x?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 19*c - 8 - 32*c.\nAnswer: -13*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, -380, -4 in increasing order.\nAnswer: -380, -10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 + 8. List the prime factors of (1 - -8)\/(6\/o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10309 (base 13) in base 10?\nAnswer: -29077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2\/2 - 12889*c - 180544.\nAnswer: (c - 25792)*(c + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15639?\nAnswer: 3, 13, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k - 1 + 1 - 3*k + 4*k + 0*k + (0 + 1 - 3)*(-k - 2*k + k) - k + 0*k + 3*k)*(-4*k + 3*k - 8*k).\nAnswer: -54*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**3 - 15*y**2 + 5*y - 70. Let l be t(15). What is the third derivative of 78*j**2 - 3*j**3 + 22*j**5 + 22*j**l - 41*j**5 wrt j?\nAnswer: 180*j**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes before 5:11 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4519 + 4562. Does -2 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, 0.06, -4\/3, 39?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bia when three letters picked without replacement from {b: 7, a: 2, i: 3, j: 7, k: 1}.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 23760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.11, -3, 58\/9, -4, 3\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c + 3*c - 2 - c**3 - 3 - 3*c**2. Let a be (2 + -1)*(-3 + -1). Is o(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= -3\/13747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.005605466 to 6 dps.\nAnswer: 0.005605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*p - 12*p - 14*p - 13*p - 9.\nAnswer: -3*p - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2310, 2327, 2346, 2367, 2390?\n\"Answer: b**2 + 14*b + 2295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01995367 to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -12075 - -2071\nAnswer: -10004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -327945 divided by 15?\nAnswer: -21863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(108) + 0 + 4)**2 + -5 + sqrt(108) + 2 + sqrt(108))*3 + -3.\nAnswer: 180*sqrt(3) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**3 - 2*x**2 + 3*x - 1. Let j be h(2). Let c = 103 - 92. Let n(p) = p**2 - 11*p + 13. Let q be n(c). Solve q = 2*w + j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (86\/(-8) - -10) + (1148\/(-16))\/7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**3 + j**2 + j + 1. Let f be s(-1). Let i = 0.13 - -0.27. Let q = 0.5 - 0.6. What is the third biggest value in i, q, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - 2708 + 1357 = -1369 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26111875643 - -4.\nAnswer: 26111875647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 403 and 2901631?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 52*r**3 - 16*r**3 + 543*r**2 + 121*r**3 + 599*r**2 + 193*r**3 wrt r?\nAnswer: 2100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 497918159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -20 + 16.8. Let p = a + 2.7. Let k = -50 - -454\/9. Put -2, p, k in increasing order.\nAnswer: -2, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 + 4*d**2 - d + 5. Let c be u(4). Calculate the least common multiple of (1\/(-8))\/(-1) + 1645\/280 and c\/(2\/4) + 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 60 divided by 15\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 58*f - 1. Let k be r(1). Let u be (-2 - (1 + -1)) + k. Let q = u - 169\/3. What is the biggest value in -4, 4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2020 or -0.56?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 110522210 + -1033?\nAnswer: 110521133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -3*i + 26, 2*f = -i - 0*f + 11. Let a be (i\/(-6) + 1)*-10. Determine t, given that 0 + a*t**3 - 12 - 20*t**2 + 28*t - t**3 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**3 - 10*d**2 - 12*d - 31. Determine m(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 264 = 2*i, -5*w - 3*i + 5*i = -444. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 169\/6 + -2185\/78. Which is smaller: 7\/4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of (0 - -35)*(-61)\/(20496\/(-65760))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 54, -594 in decreasing order.\nAnswer: 54, 2, -594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -2821 (base 14) in base 13?\nAnswer: -32c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 4, n: 1, i: 6}. What is prob of sequence ia?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -6*i - 15. Let w be o(-3). Let u be ((-44)\/(-33))\/(2\/12). Let j be (-54)\/(-12)*u\/6. Solve -3*x + w = -j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -87 + 27. Are q and -56 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*h + r - 7 = 2*h, 3*r = 4*h - 27 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {i: 5, f: 7}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7991129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 974923 minus -0.0499201?\nAnswer: 974923.0499201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 237 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1316947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8966*f - 8969*f + 26883*f - 8947*f - 4 + 4.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 359359*g - 6. Determine m(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 2*d + i - 297 = 0, 53 = d - 4*i. Suppose 5*j - 191 = 3*k, -5*j + d = -5*k - 112. What is the remainder when j is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*j**4 - 48*j**3 - 72*j**2 + 272*j - 156.\nAnswer: 4*(j - 13)*(j - 1)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2160 - -2159.8. Let g = -5 - -3. Let v be g\/3 - 78\/(-36). Which is the second biggest value?  (a) 2\/7  (b) l  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (6\/(-8))\/((-6)\/76). Let q = -10 + f. Suppose 0 = 4*s + 4 + 4. Which is the third smallest value?  (a) 0.4  (b) s  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/552 and -7\/759.\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -769678000 to the nearest one million.\nAnswer: -770000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/2 - (-34)\/4. Let g be (-1 - (-26)\/10) + 24\/(-40). Suppose p + p - 5*v - h = 0, -g = v. Solve 0 = -3*j - 0*q - p*q + 7, -4*q + 21 = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 - 2. Let k = 2 - a. Let u(y) = 3*y + 2. Let v(i) be the first derivative of -i**2\/2 - i + 3. What is k*v(b) - u(b)?\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**2 - 67126*b + 402720.\nAnswer: (b - 67120)*(b - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 15942 - y**3 + 2*y**2 - 15942 - 10*y as a*y + s + m*y**3 + c*y**2 and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 49\/36 - 10\/9. Let l = 8.76 + -139.76. Sort 0.5, l, 5, r in descending order.\nAnswer: 5, 0.5, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -421*n = -426*n - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 151*h + 4*d + 8 = 146*h, 4*h + 4*d + 8 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: a147 (base 16) to base 9\nAnswer: 62564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -10412*g - 3*g**2 + 0*g**3 + 2 - 3*g**3 - 2*g**2 + 10414*g + 0*g**2 as j + z*g + q*g**3 + i*g**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yfydttyyytydtttttdu. Give prob of sequence td.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*q = -5*q. Is 936929\/196*(0 + (4 - q)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -196 - -200. Which is the smallest value?  (a) -5  (b) -134  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p + 1. Let v = -33 + 58. Suppose -6*k = -k + v. Give f(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*u**4 + 0*u**4 + 1 - 5*u**2 + 2*u**2 - u**3 + u**4 as o*u**2 + k*u**3 + t*u**4 + a*u + d and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.14 in -2\/17, -2, -0.902, -3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -531 by 92.\nAnswer: -531\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*k + 54 = -54 + 31 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-8)\/(-12))\/(4\/534). Suppose -p - 3*i = -8*i - w, 4*p + 3*i = 264. Suppose -p + 27 = -c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -97, -191, -287, -385, -485, -587, -691?\nAnswer: -797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2121502 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 866 - -310. Suppose -1505*i = -1498*i - s. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-3)*(g**(-13)\/g)\/g*g**(-10)*g\/(g\/(g**(-9)*g)*g)*g)**21 assuming g is positive.\nAnswer: g**(-756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9102 + -17717. Let z = m - -8088.9. Let x = 584 + z. Round x to the nearest integer.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 15  (b) 0.5  (c) -29  (d) 0.1  (e) 7265\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 4*p = -5*f + 42, 0 = 5*f - 2*p - 100. Let j = f - 18. Solve g - 8 = -3*q, -3*q - 23 = -j*g - 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 4*t - 2 = 2, 3*v - 4*t - 3 = 0. Let c(b) = -22 + 315*b**2 + 54*b - 626*b**2 + 315*b**2. Let l be c(-14). Put -1, l, v in decreasing order.\nAnswer: l, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4868574 - 1970*y - 4868574)*(y**3 - 2*y + 2*y) to a*y**3 + g*y**2 + r*y + p + v*y**4 and give v.\nAnswer: -1970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26\/(-91) - (-3 + 0 - (-1644)\/(-21)) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:41 AM and 10:05 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from brddwbzbzbbbdw. Give prob of picking 2 z and 1 w.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 200956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4\/9*u + 0 + 2\/9*u**2 = 0. What is u?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the second derivative of -r**8\/1344 - r**7\/2520 + r**5\/120 - 89*r**4\/4 - 243*r. Let s(q) be the third derivative of o(q). Give s(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c and 1 v when three letters picked without replacement from vvcc.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -70*c - 388*c - 9160 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 5  (b) -0.3  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -52*t**2 - 2443*t wrt t.\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3233\/3 - 1063. Let k = -79\/6 + n. Factor -k*j**2 + 3*j + 0.\nAnswer: -3*j*(j - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8, 5, -10, -43, -100, -187?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 8 - 0.604\nAnswer: 7.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 768, 0, -4 in ascending order.\nAnswer: -4, 0, 768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -5 - 0.2495220148102\nAnswer: -5.2495220148102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 49 = 5*b, 3*l = 4*b - 0*l - 42. Suppose a - 7*a + 792 = 0. Suppose -b*t + 12*t = a. Calculate the remainder when t is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3841\/(-920) - (-3)\/(-15) and -43\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25 + 42. Let q = u + -17. Suppose q = -4*y - 31 + 275. Does 24 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of h**3\/3 + 7*h**2\/2 - 8*h + 1844. Determine n(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 122993338813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -11 at least -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:43 PM and 11:13 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes before 10:19 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 0 - 2 = -5*g, -4*g + o = -10. Find the third derivative of -4*y**4 + y**2 + 5*y**2 + 0*y**g wrt y.\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 172756 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/2647 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*m**2 + 222 - 676 + 241 + 213.\nAnswer: -26*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 4*v + 2. Let z be u(5). Let s be ((-231)\/z)\/(2\/(-4)). What is the highest common divisor of 14 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g + 10. Let q be z(-6). Solve -5*h - 24 = 3*s, -5*h = 5*s + 46 - q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 952364 and 73444.\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u**5\/3 + 7*u**4\/3 + 20*u**3\/3 - 44*u**2 - 48*u = 0 for u.\nAnswer: -4, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.501 - 2.0268. Let w = 1.51 + i. What is w rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010001210001111 (base 3) in base 12?\nAnswer: 542681a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -0.197, 22\/3, 190 in ascending order.\nAnswer: -5, -0.197, 22\/3, 190","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 859 is divided by 209.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 24063 (base 7) to base 5\nAnswer: 144334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 114053 (base 6) in base 16?\nAnswer: 26f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 934832 * 22\nAnswer: 20566304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3 - 650.673904913.\nAnswer: -650.373904913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -4*t**2 - 303*t + 688. Give w(-78).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a decade in months?\nAnswer: 1620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**3 - 1. Let r be v(-4). Let k = 641 + -705. Let g = k + r. Sort 1, g, 2.\nAnswer: g, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -7 + 3. What is the third smallest value in j, 4, 4\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 153 and 54.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*z = -a - 3*z + 16 - 56, 4*a + a + 70 = 7*z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -130910 divided by -26182\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -18 + 22. What is the fourth smallest value in r, -1, -0.07, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (-6 - -2) + (-5 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = x + 6, 4 + 8 = 2*x + 2*a. What is the lowest common multiple of ((-1)\/(-1))\/(4\/32) and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 462632 (base 7) in base 8?\nAnswer: 241315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4278 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10201111211 + -1202?\nAnswer: -10201120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -18*t**3 + 18. Let r(w) = 6*w**3 - 8*w**3 - 5 + 4 + 3*w**3. Suppose -2*m = -m - 6. Let u(o) = m*g(o) + 102*r(o). Differentiate u(h) wrt h.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in y**5\/6 - 651781*y**4 - 3910691*y**3\/2 + 11732053*y**2\/3 + 18249878*y + 15642756 = 0?\nAnswer: -2, 3, 3910689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.8184 * 4\nAnswer: -3.2736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -125223 or -123596?\nAnswer: -123596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**2\/b**(-26)*b*b\/(b*b**15*b*b)*(b\/((b*b**13)\/b))\/b assuming b is positive.\nAnswer: 1\/b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 680 and 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - (7 + -7 + -7))\/(930\/33790)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3991299 plus -18122?\nAnswer: -4009421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the second derivative of -61*g**4\/6 - 5*g**2 + 155*g. Differentiate c(h) wrt h.\nAnswer: -244*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -502, -312, 0, 434, 990, 1668, 2468?\nAnswer: 3390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/7210 and -143\/14420.\nAnswer: 14420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 24.5196l?\nAnswer: 24519.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3578411377193 - 3578414214698.7200008. Let w = b + 2837507. Let g = 1.28 - w. What is g rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 66 + -1. What is the remainder when f is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01274747162 rounded to 7 decimal places?\nAnswer: -0.0127475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -335 - -375. Calculate the lowest common multiple of n and 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -2*w + 4. Let k be f(-3). Let d = k + -6. Find the third derivative of -4*m**2 - d + 3 + m**6 + 1 wrt m.\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, v: 7}. Give prob of sequence vvnv.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 6*l. Let y(q) = 18 - 18 - 21*q. Let i(f) = -18*j(f) - 5*y(f). Let d(m) = -3*m + 21*m - 12*m - 21*m. Give d(i(h)).\nAnswer: 45*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2 + -2933.\nAnswer: -2933.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1134.999972989 + -1135. Round v to 7 decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*x**3 + 21*x - 39*x - 3*x**2 + 1 + 2*x**2 - 2*x**4 + 11*x in the form q*x**4 + s*x**2 + r*x + f + v*x**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -19*f. Let d(s) = -5*s**2. Determine r(d(b)).\nAnswer: 95*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -836296 divided by -209074?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 1 + sqrt(931) + (sqrt(931) - -3*(sqrt(931) + -1)))**2.\nAnswer: -70*sqrt(19) + 23276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(88)*-4 - sqrt(88) - sqrt(88) - -1*1*sqrt(88))\/(1*((sqrt(512)*2 - sqrt(8)) + sqrt(8))*-3) + -2)**2.\nAnswer: 7*sqrt(11)\/12 + 9755\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/9  (b) 2  (c) 19  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*t + 5*w + 4, -5*t + 24 - 60 = 4*w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -7*a. Let s(k) = -379*k + 7. Determine n(s(i)).\nAnswer: 2653*i - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12, 84, 212, 402, 660, 992, 1404, 1902?\nAnswer: 2492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7245, 57986, 195705, 463890, 906029, 1565610, 2486121, 3711050?\nAnswer: 5283885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 36264, 36243, 36218, 36189, 36156, 36119, 36078?\n\"Answer: -2*z**2 - 15*z + 36281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 49, -0.5, -1\/8, -5 in increasing order.\nAnswer: -5, -0.5, -1\/8, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6*q*r + 41907*q + 80*r wrt r.\nAnswer: 6*q + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1112975, 1113121, 1113265, 1113407, 1113547, 1113685, 1113821?\nAnswer: 1113955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -906.769495 - 0.5?\nAnswer: -907.269495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*f**2 - f**4 + 3*f**2 + 8*f**2 - f**3 - 2*f**2 to the form q*f**3 + u*f + p*f**4 + c + d*f**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -651370, -651331, -651264, -651169, -651046, -650895?\n\"Answer: 14*i**2 - 3*i - 651381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 115032 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 4*v + 6474 = 0, 0 = -0*y - 2*y + 3*v + 2598. What is the greatest common factor of 40 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6215?\nAnswer: 5, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*z - 8*z**4 - 9 + 62*z**3 - 125*z**3 + 65*z**3 + 2 + z**2 to u*z**4 + b*z**3 + i*z + f + m*z**2 and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - b**2 - 3)*(4*b - 3*b - 3*b + (-b - 49*b - 18*b)*(-1 - 1 + 3) + (-3*b + 4*b - 3*b)*(-3 - 2 + 3)) as d*b**2 + x*b + l*b**3 + n and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence knwn when four letters picked without replacement from nnwnkfffywwfynyy.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 115921090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (561\/(-374))\/((-9)\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbqb. What is prob of sequence bbqb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*x**3 + 15*x**2 + 168*x.\nAnswer: -18*x + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 800, 1330, 1904, 2534, 3232, 4010, 4880?\n\"Answer: 2*a**3 + 10*a**2 + 486*a + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2 - 45*k**2 - 24*k + 49*k**2 - 2.\nAnswer: 4*k*(k - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -84 + 61 + (-4 - -12) + -27 + 9?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**3 + 11*u**2 - 26*u + 8. Let z(v) = 10*v + 59. Let w be z(-7). Does 17 divide b(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (455*g - 40*g + 45*g + 572*g)*(g - 3 - 1 + 2).\nAnswer: 1032*g**2 - 2064*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 854931.3km?\nAnswer: 854931300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 781 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -96514.4 and -0.964?\nAnswer: 93039.8816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 17, 0.2, -1\/4 in increasing order.\nAnswer: -1\/4, 0, 0.2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vwabqbbpwwaaaa. Give prob of picking 3 a and 1 p.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 177498?\nAnswer: 2, 3, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -16 - 58?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -3.35 and 66?\nAnswer: 69.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -6*q + 14. Let r be z(-7). Let n = 60 - r. Suppose u = -n, 4*u = -k + 13 + 3. What is the remainder when k is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 200*m**2 + 4465*m + 16. Let g(c) = -67*c**2 - 1490*c - 6. Let a(i) = -8*g(i) - 3*q(i). What is the second derivative of a(d) wrt d?\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7550 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*f**4 + f**3 - 3711 wrt f?\nAnswer: -12*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3136503979 take away 46148?\nAnswer: 3136457831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1264759?\nAnswer: 43, 67, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b**2 - 22*b + 121 = 0. What is b?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 613165 (base 7) in base 9?\nAnswer: 168144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14567 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*t = -35*t - 58 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 7*a + 1. Let j be v(-1). Let l(w) = -2*w - 4. Let q be l(j). What is the greatest common divisor of 32 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2153646 divided by 73?\nAnswer: -29502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 7*h + 7. Let g(j) = -11*j - 10. Let c(l) = -5*g(l) - 8*s(l). What is the least common multiple of c(-7) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -148501\/11 or -13501?\nAnswer: -13501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**2 + 3*x. Is 9 a factor of k(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10315 - 14*x**2 - 851*x - 10315.\nAnswer: -14*x**2 - 851*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k - 4*w + 22 = 2*w - 4*w + 3*w, -4*k + w - 9 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.06 - -0.36. Let q = -0.7 + 4.7. Suppose -f + 5*s + 3 = -1, 0 = -3*s - 3. What is the nearest to f in q, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -569 + -258.\nAnswer: -827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 21906 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 69450 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -4, 1, 123\/7, 0.51?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2, -7, 3, -2\/573, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -2*f**2 + 25. Let d(c) = 72*c**2. Give m(d(w)).\nAnswer: -10368*w**4 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 311253753 is divided by 160?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -2\/5  (b) 5  (c) 0.5  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108) + -1 + 1)**2 + (-4 + sqrt(432) + sqrt(432)*-1 + sqrt(432))**2 + sqrt(432).\nAnswer: -84*sqrt(3) + 556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-5*(-1 + (sqrt(19)*1)**2) - (4 + 2 + sqrt(19)*-1)**2).\nAnswer: -725 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 296874417?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 3, v: 5}. Give prob of sequence vcvc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 + -10. Let f = -4.6 + -3.4. Let c = -8.4 - f. What is the closest to -0.1 in 1, p, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10 by 59.\nAnswer: -10\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48457.\nAnswer: 47, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 22209920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + -1 + sqrt(208) + sqrt(208) + sqrt(208) + 5*(2 + sqrt(208)) + sqrt(208))*5)**2*4.\nAnswer: 57600*sqrt(13) + 1691200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 1 + 4*(-63)\/(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1.27 - -1205456296\nAnswer: 1205456294.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2226 is divided by 316.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9240 and 1219680?\nAnswer: 1219680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-19))**(12\/13)\/((z\/z**(-5\/7))\/z*(z*z**(-1\/7))\/z) assuming z is positive.\nAnswer: z**(-1648\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -8*d + 681. Let l be c(0). Suppose 2*p = -2*v + 3*v - l, -2*v + 1365 = -p. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3305184 to the nearest integer?\nAnswer: 1818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**27\/z)\/z**(-23) assuming z is positive.\nAnswer: z**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 400, 371, 322, 253?\n\"Answer: -10*y**2 + y + 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7697 <= 7697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6509689?\nAnswer: 6509689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -4*y - 2. Let w be p(4). Let s be 1\/(-10)*24\/w. Which is the nearest to -6?  (a) 1  (b) s  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 421798.\nAnswer: 2, 13, 16223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 33*m - 94*m + 182*m to f*m + l and give f.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -25, -3*i = -4*q + 2*q + 1301. What is the remainder when (2\/2)\/(5 - q\/133) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -631548 - 5.0518\nAnswer: -631553.0518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3314*s**2*w**3 - 16*s**2*w + 239959*s*w**3 - 2*w**3 wrt s.\nAnswer: 6628*w**3 - 32*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1156 is divided by 217.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -2*r - 4. Let u be y(-3). Does 41 divide (u + -104)\/(1 - (-2 - -5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15165877 rounded to the nearest one hundred thousand?\nAnswer: 15200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u + 32 = -16. Let f(a) be the first derivative of 0*a**4 - 3\/5*a**5 + 0*a**3 + u + 0*a**2 - a. Differentiate f(v) with respect to v.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 240 and 105.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 2, -8, 4 in increasing order.\nAnswer: -8, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**3 + 4*r**2 + 2*r + 4. Let a(k) = 12*k**2 - 5*k - 2. Let w be a(-2). Let p = -51 + w. Let o be m(p). Is o at most as big as -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**4\/3 + 868402*p**3\/3 - 868400*p**2\/3.\nAnswer: -2*p**2*(p - 434200)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -142\/11 less than or equal to -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.04169 and 620.\nAnswer: 25.8478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 14 = 2*p, -p - 4*i - 26 = -4*p. Suppose w = -p*w + 48. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 123784024?\nAnswer: 2, 7, 13, 193, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z + 58 + 5 = 0. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 + 27 - (-5 + 1 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -110000111011101101 (base 2) in base 5?\nAnswer: -22403204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4974 or -4970?\nAnswer: -4970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.96 + -0.04. Let b = -123846 + 123849. What is the third biggest value in t, 4, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -80 + 27. Suppose 0*w + 5*y + 122 = w, 3*w - y - 422 = 0. Let p = w + b. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:29 AM and 9:47 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 9361*v**3 + 121*v**2 - 121*v + 121. Let d(l) = -312*l**3 - 4*l**2 + 4*l - 4. Determine 121*d(c) + 4*q(c).\nAnswer: -308*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -5, 777, -1 in ascending order.\nAnswer: -5, -1, 5, 777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 91740699 and 61160466?\nAnswer: 183481398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.03 + 12.03. Let t(w) = -w**2 - 6*w - 2. Let x be t(-6). Which is the third biggest value?  (a) x  (b) n  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gy when two letters picked without replacement from {p: 3, y: 2, g: 4, u: 6}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-140)\/(-21))\/((-2)\/(-12)) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 3*p**2 - 4*p + 5. Let r(a) = 8*a**2 - 13*a + 15. Let u(h) = -11*o(h) + 4*r(h). What is u(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4262656?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.4 - -0.6. Let o = 1 - 3. Which is the closest to f?  (a) o  (b) -0.1  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 989777769.\nAnswer: 3, 157, 2101439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the second derivative of z**4 + 33*z - 5\/3*z**3 - 1\/10*z**5 + 0*z**2 + 0. Let u(x) = 0. Calculate x.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -152 - -230 - (160 - -2) - (1 - (0 - 0))\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -28 - 38 - 108 + 187 - 108*b**3 in the form j*b**3 + i + q*b + x*b**2 and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 133 - 76. Suppose 0 = -j*g + 53*g + 416. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 2*w - 1 - 1, -4*y = 4. Solve -2*c + c + 4 = w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**3 - 9*z**2 + 14*z + 5. Let b be q(7). Suppose -66 = -7*o + b*o. List the prime factors of o.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -426323, -426274, -426223, -426170, -426115, -426058?\nAnswer: -425999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 + 5*r**2 - 4*r + 4. Let w be ((-21)\/6)\/((-1)\/(-2)). Let x = w - -10. What are the prime factors of u(x)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*c*r*x**2 - 6*c*r*x - 12*c*x + 4*r*x - 23*x**2 - 3 wrt c.\nAnswer: 2*r*x**2 - 6*r*x - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = -4*k - 88, -2*k = 2*k + 2*m + 82. Let q = k + 22. Solve 0 = q*h - 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 1 z when three letters picked without replacement from hhazzhztzztzvvhzvakz.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.876 times 11?\nAnswer: -9.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/7, -1\/3, 0.2, -4, 120955, -5, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6306929343?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5034 + 2608 + 8366 + 16908 - g.\nAnswer: -g + 22848","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 227*b - 224*b - 180 = 0. What is the lowest common multiple of 54 and b?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -12502652188231 minus 3?\nAnswer: -12502652188234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -3\/10, -9, 2\/7?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 91 + -20ad?\nAnswer: -201c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 1744*y + 1741*y = 34270, 2*p = -2*y + 34290. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = -4*q + 32, 5*q - 16 = -2*h + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/125?  (a) 2\/11  (b) -1  (c) 0.1  (d) -51\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 104332253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -448*r - 9. What is o(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -103 + 117. Suppose 28*m = 26*m. Suppose m = -s - n + 17. Solve -5*c = -3*u + u - 18, 10 = -c - s*u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 215\/(-36) - 5\/(80\/12) and 93\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**2 - 23*t + 38. Determine x(-25).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10011111 - 1110000?\nAnswer: -100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dwwwtadtfmaf. What is prob of picking 2 d and 1 f?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 + 14. Let g = -1 + l. Let n = -6.00003 + g. What is n rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 40*g**3 + 6*g**2 + 12*g + 35. Let x(v) = v**2 + 2*v + 2. Give k(i) - 6*x(i).\nAnswer: 40*i**3 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x**(-1\/4)\/x))**(-29\/2)\/((x\/(x\/x**(1\/3)))\/x*x)**(-2\/5)*((x\/x**(-5\/6)*x)\/(x\/x**(-1\/2)))\/(x**1)**(-1\/32) assuming x is positive.\nAnswer: x**(-14941\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 64*h**3 + 8*h**2 - 44*h + 284. Is 54 a factor of x(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnhrptw. Give prob of sequence rpw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 0*s + 3474 = 2*s, 4*s = 3*d - 2100. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -57, -47, -29, -3, 31, 73?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 251626882.999943 - 251626996. Let l = 113 + q. What is l rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -59673*g**2 + 31*g + 3689319.\nAnswer: -119346*g + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3144 and 184?\nAnswer: 72312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -8*l**2 + 13*l - 13. Let z = -11 + 10. Let o be (-2 - (z + 3)) + 2. Let i(a) = -2*a**2 + 3*a - 3. Calculate o*f(k) + 9*i(k).\nAnswer: -2*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 95857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*c - 170*c + 68*c + 58*c.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 1166 = -2*l + 4*l, 1528 = 4*a + 4*l. Suppose 0 = -n + 5*q + a, 0 = n - 2*q - q - 386. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -160*g - 7. Let z(y) = 159*y + 4. Give -2*m(k) - 3*z(k).\nAnswer: -157*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -191 minus 918511916?\nAnswer: -918512107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6632.\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 235 + -114. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-66)\/55*10\/4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, 0.5, -3\/8, -5, -87\/11.\nAnswer: -87\/11, -5, -3\/8, 0.5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 924.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the first derivative of u**4\/4 - 2*u**3 - 11*u**2\/2 + 19*u + 13. Let q be x(10). Suppose 2*o + 187 = 5*o - m, 5*o = 3*m + q. Does 21 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 236067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -534933, 14, -5 in increasing order.\nAnswer: -534933, -5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1\/8, 0.4, -3, 171?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -7*w**3 - 6*w**2 + 3*w + 7. Let q = -10 + 8. Let x be ((-3 - q) + 4)\/3. Let s(m) = -m**3 - m**2 + m + 1. Determine x*r(v) - 6*s(v).\nAnswer: -v**3 - 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**3 - n**2 + n + 1. Let c be g(-2). Suppose -19*o + 17*o = 4*m - 194, -5*m - c*o + 244 = 0. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 103123101 (base 5) to base 7.\nAnswer: 3521302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 5*u + 17, x - 8 - 2 = 4*u. Let n = -2 - -2. Suppose n*c - 36 = -2*c. What is the greatest common divisor of c and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 759 + 129. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 859497120.\nAnswer: 2, 3, 5, 23, 25951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -162*s + 36. Let u(n) = -2*n - 1. Calculate -h(m) - 36*u(m).\nAnswer: 234*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**2 - 5 - 10*a - a**3 + 4 - 12*a**2 + 5. What is the units digit of d(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10 and 29815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 38362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6670 or 6345?\nAnswer: 6670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w + w - r = 49, 4*r = 2*w + 24. Let v = w + 109. What is the lowest common multiple of v and 10?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28, 102, 226, 400, 624, 898?\nAnswer: 1222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 320378.\nAnswer: 2, 19, 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81 = -2*s - 63. Suppose 2*t = 8 + 2. What is the smallest common multiple of t and s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -1  (b) 2  (c) -101\/62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 53 + -49. What is the third biggest value in -0.4, m, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*k + k**2 + 10*k - 7*k + 7*k + 15*k**2 + (1 - 3*k - 1)*(-2 + 2 - k).\nAnswer: 19*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -18655\/4 or -4664?\nAnswer: -18655\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/(-2) - (7 - (-809 - 7)). Let v = 1344 + n. List the prime factors of v.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18 + -23. Which is the third biggest value?  (a) 2\/3  (b) -1  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9.338481 litres?\nAnswer: 9338.481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.171 + 0.031. Let b = 0.056 - l. What is b rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/((-560)\/72)*5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1834*a - 1844*a - 1837*a + 43 + 9206*a - 1842*a - 1841*a.\nAnswer: 8*a + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13.11 - 7.078. Let u = s - 6. What is u rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 792.3595t to grams.\nAnswer: 792359500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -3*l + 5, -f + 3*l - 1 = 0. Suppose -f*m = m - 6. Suppose -4 + 4 + 2*h + 2*h**m = 0. Calculate h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 30 times -0.4\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10*(-8)\/1900*1*19950\/380.\nAnswer: 42\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes after 3:18 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 - (-7 - -3) - 1 - -42.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-5*(sqrt(300) + sqrt(300)*1 + sqrt(300) + 4)*2 + -5*(2 + -3 + (sqrt(300) - (sqrt(300) - sqrt(300)*1) - sqrt(300)))))**2.\nAnswer: 21000*sqrt(3) + 271225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24\/3*((-125)\/(-86) - (-2)\/43).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13 + -4. Suppose 7*x = s + 4*x - 17, 5*s = -4*x + k. Solve -4*i = -2*u - 18, u = -s*i + 5*u + 30 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 240 (base 9) to base 4.\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4e2 + 5?\nAnswer: -4dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.033 + -3.967. Which is the third biggest value?  (a) 4  (b) w  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 190 (base 10) in base 3?\nAnswer: 21001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -217 equal to -217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2189139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/6 + (-2 - 8\/6). Let v = s + 6. Find r, given that -2\/7*r**v + 0*r**2 + 0 + 2\/7*r = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 74*t - 27*t - 376 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -36 - -43. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*-162\nAnswer: -48.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27180\/233748*(-6)\/(-10).\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-210)\/14 - -16)\/(91\/(-26)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 3757728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -170*l**3 + 120*l**3 - 8*l**2 - 4*l + 3*l as t + c*l + u*l**3 + y*l**2 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 + 6. Solve -5*u + 6 = -l, -w = -2*u + 13 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 12 = -3*v, 5*v + 11 + 9 = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - (34 - (78 + -47)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00113184 rounded to five decimal places?\nAnswer: -0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -68738, -137478, -206214, -274934, -343626, -412278?\n\"Answer: 2*f**3 - 10*f**2 - 68724*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 divided by 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2\/(-42))\/((-3)\/9). Let h = -4 + 4.1. Which is the nearest to -0.2?  (a) h  (b) 2  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 24 - -46. Find the common denominator of (-14)\/a*((-235)\/(-6))\/1 and 48\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9.75 + -9.45. Put i, 5, 25, -1\/2 in decreasing order.\nAnswer: 25, 5, i, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -11127 and -1339.\nAnswer: -12466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of 417410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -182 + 172. Let q(y) = y**3 + 9*y**2 - 11*y + 1. Let j be q(v). Calculate the highest common divisor of 374 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 12\/(-9)*(-3)\/10. Let p = 162102 - 162100. Let g = 4.93 - -0.07. Sort p, g, r, -1\/4 in decreasing order.\nAnswer: g, p, r, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Convert 394.1118 decades to millennia.\nAnswer: 3.941118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 + g)*((0 + 0 - 1)*(-g**2 + 2*g**2 - 4*g**2) + 0*g - 2*g**2 + 0*g + g**2 + 2 + 0 - 3*g**2) to h*g + a*g**2 + f*g**3 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) 6  (c) -1\/1000\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p**2 + 2*p**4 - 2*p**4 - 2*p**5 + (3*p**2 + 2075*p + 5302859 - 5302859)*(p**3 - 2*p**3 - p**3).\nAnswer: -8*p**5 - 4150*p**4 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 886.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1010211 + 241?\nAnswer: -1004420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -19 + 15 + -11 + (4 - 6) + 6 + 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3419 - -2469. Is o a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 + -2. Suppose 6*n - t*n = 0. Solve 3*i + i + 12 = n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 times -0.381276\nAnswer: -4.575312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 3525327.7 to the nearest 10000.\nAnswer: 3530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 24841753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 662 + -345. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m - 280 = -1743. Suppose -3*g + l + 389 = 0, 2*g = 5*l + m + 59. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o = -3*o. Suppose -4*u - 3*c + 21 = o, 0*u - 2*c = u - 9. Solve f - l = -2 - u, -l + 3 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4\/7*b**2 - 144\/7*b + 620\/7 = 0. Calculate b.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 1596*n**2. Let l(w) = w. Calculate l(p(s)).\nAnswer: 1596*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -30, 140, 310, 480, 650, 820?\n\"Answer: 170*k - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 2*o + 10. Suppose 0 = c - 2 + 7. Let j be w(c). Is 0 not equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d - 2. Suppose 75 = 9*a + 741. Let u = a + 78. Let p(l) = -4*l + 7. Give u*p(s) + 14*r(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -37868251\/319 - -118709. Let h = g - -2\/29. Which is the nearest to -0.2?  (a) h  (b) -5  (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-900)\/(-14) - (-400)\/1120*8\/(-10). Solve 140*p - 132*p = r for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 3*u + 2047 = -5955, 2*u - 6402 = -4*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*s + 0*s - 2*s - s - s + 4*s + (2 + 0 - 3)*(s - 1 + 1) - 55*s - 92 + 92.\nAnswer: -56*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 604171636?\nAnswer: 2, 17, 23, 386299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h + 2. Let t be m(4). Let n(y) = -y**2 + y + 6. Let k be n(0). Suppose 5*f + k - 16 = 0. Sort t, f, -4 in decreasing order.\nAnswer: f, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*r**2 - 3*r**2 + 10 + r**2 in the form k*r**2 + d + f*r and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 25556 + -27233. Which is bigger: -1676 or s?\nAnswer: -1676","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from raaaraaaaaaaara. Give prob of sequence arrr.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -17*c - 9253 + 9644 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**2 - 13*r + 18. Let s be i(11). Let b be s*(915\/(-20) - 1). Suppose -2*c = -657 - b. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -164, -1218, -2984, -5468, -8676, -12614, -17288?\nAnswer: -22704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5750 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -24 + 52. Calculate the highest common factor of 42 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/11164090 and 67\/3870.\nAnswer: 100476810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18183975 is divided by 1283.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(1\/3)*j)\/(j*j\/((j\/j**(1\/49))\/j)*j)*(j\/(j*j**(-2\/11)))\/((j**(1\/3)\/j)\/j*j*j) assuming j is positive.\nAnswer: j**(-991\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - r + 18. What is the remainder when (-5 - -3) + (29 - 1) is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -3*q**2 - 2*q**2 - 6*q**2 + 4*q**2 - 6*q + 8. Let z(f) = -f**2 - f + 1. Let p(w) = -y(w) + 6*z(w). Find the first derivative of p(n) wrt n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1233343610, 1233343609, 1233343608, 1233343607, 1233343606?\nAnswer: 1233343605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 22 = 2*n. Suppose -k + 32 = -3*b, -11*k - 2*b + 52 = -8*k. Let t = k + n. Calculate the remainder when 24 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 651 is divided by 592.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/(-32)*(-2 - -5) - (-190)\/180?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/(270\/24)*(-129)\/430?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -6 and 1.01.\nAnswer: -6.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 127 + 611. Find the third derivative of 754*l**2 + 8*l**4 + 5*l**4 - j*l**2 wrt l.\nAnswer: 312*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, 8, -3 in ascending order.\nAnswer: -3, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -8*f. Let y be t(-2). Suppose 4*a - y = 4*h, -a - 2*a = 2*h - 2. List the prime factors of a\/(-3) - (-123)\/9.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1044 and 56315796.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12025 is divided by 231?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 2)*(28*o**3 + 201*o**3 - 32*o**3)*(o - o + 2*o**2) + (0*o - o**3 + 0*o)*(-o**2 + o**2 + o**2).\nAnswer: 787*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-14)\/21)\/(528\/576 + 6\/(-8)). Let d = 1\/47 - 103\/423. Sort d, w, 10 in descending order.\nAnswer: 10, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -253*f + 252*f + 30, 5*f - 182 = -4*a. Which is greater: 260\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 309, 101, -265, -789?\n\"Answer: -79*k**2 + 29*k + 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r + 3*x + x = 192, -2*x = -5*r + 56 - 131 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.1 + -1.2. What is the second biggest value in 4, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 14 = -2*p. Suppose 0 = -a + 1 + 6. What is the least common multiple of p and a?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, b: 14, j: 2}. Give prob of picking 1 k, 1 b, and 1 j.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rygv when four letters picked without replacement from yrvcvgryvr.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*u - 10*u + 8*u - 2)*(-u - u + 3*u) in the form g + c*u**2 + z*u and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*j - 13 - 9. What is the tens digit of -4 - -226 - (2 - j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.085 rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 11) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 567*c = 1006 + 4417 + 7051 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 83087190 and 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 52514950 and 162796345?\nAnswer: 1627963450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/3*6)\/((-6852)\/(-80511))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do 0.1 and 3.6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -4, -8, 0.71, 70?\nAnswer: 0.71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - (-13 - -5)) + -13 + -4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -18978603, -18978602, -18978599, -18978594, -18978587?\n\"Answer: s**2 - 2*s - 18978602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4095, -11223, -18351, -25479, -32607, -39735?\nAnswer: -46863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 109 = -5*j, -3*j + 2*x + 3*x = -73. Let b = 24 - j. Suppose d = 3*t - 15, 4*t + d + 2*d = 33. Solve t*v - 3*v = b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*k - 75 = 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2*1\/(-3))\/(16\/(-48)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -27373251 + 1?\nAnswer: -27373250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 + 2*x**2 - 2*x. Suppose 3*i + 38 = 4*p, -3*p = -i - 6*p + 9. Let n(h) = -h**3 - 3*h**2 + 3*h. Calculate i*b(f) - 4*n(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*p - 24 = -5*x + 7*p, -x + 5*p = 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0, -2, 0.2, -226840, -4 in decreasing order.\nAnswer: 4, 0.2, 0, -2, -4, -226840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1011*t**2 - 2*t**4 - t**4 - 45*t**3 - 1236*t**2 + 0*t**4 - 375*t = 0. Calculate t.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(112) + (sqrt(112) - (-4 + 1 + sqrt(112)))**2 + sqrt(112) + ((sqrt(112) + 1 + sqrt(112))*-6)**2 - (-4 + (sqrt(112) + -1 + 2)**2)).\nAnswer: 576*sqrt(7) + 16068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -3232, -24158, -80458, -189820, -369932, -638482?\n\"Answer: -2948*n**3 + n**2 - 293*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.03 and 51.4?\nAnswer: -1.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {q: 3, m: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -10342198 * -1\nAnswer: 10342198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -30030022 + 0?\nAnswer: -30030022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 617282135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a = -2*z + 176, -a + 41*z + 44 = 46*z for a.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 185.38 and 2?\nAnswer: 183.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is r in 5*r**5 + 175*r**4 - 240*r**3 - 7760*r**2 + 22400*r = 0?\nAnswer: -35, -8, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32301311 (base 4) to base 5.\nAnswer: 3414113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b - 72 + 1204. Suppose m - 1 = 0, b = 3*h + 2*m - m. Let r = 286\/3 - h. Is -2 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 14.8 in -0.07, 3\/5, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -39085b + -1?\nAnswer: -39085c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 54 + -24. What is the smallest common multiple of 18 and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -337*w**2\/9 - 2*w\/9.\nAnswer: -w*(337*w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from kwkgfdddeff.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 165\/(2720850\/679) - (2\/20 - 0)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -761 + 1291. Let x = 4989 + f. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 69869, 109415, 175333, 267629, 386309, 531379, 702845, 900713?\n\"Answer: n**3 + 13180*n**2 - n + 56689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f + 16. Let c be o(4). Suppose 3*t - 71 + 2 = 0. Differentiate c - 3*i - 8*i - 22 + t with respect to i.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**2. Let h(r) be the second derivative of -r**4\/2 + 4*r. Determine h(t(l)).\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -3817, -3811, -3805, -3799, -3793, -3787?\n\"Answer: 6*y - 3823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0\/2 - (-20)\/30*9. Solve 3 + c = 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.3 + -1.3. Let g = 0.051 - -774.949. Let m = g + -778. Which is the biggest value?  (a) m  (b) k  (c) -2\/149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence auu when three letters picked without replacement from {a: 1, t: 4, u: 5, c: 8}?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/2  (b) -34\/29  (c) -33  (d) 6\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (14 + (4 + -2 - (7 + -3))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30\/(-90) + ((-7615)\/(-165) - (-2)\/11).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*s = 13*s - 37*s + 407 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7683 - -7686. Solve 0 = g - 5 + 2, 5*g - 6 = w*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 2*i = 2595, p - 3*p + 1027 = -3*i. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 39.3 - 39. Which is the nearest to -2\/27?  (a) v  (b) -0.1  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(432) - sqrt(432)*-2) + -3)**2 + sqrt(432) - 3*sqrt(432)*-1 - (2 + sqrt(432)*1 + 5)**2.\nAnswer: -336*sqrt(3) + 3416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -38326 - -38326.225. Is -9\/5 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 250936188 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 97481988.\nAnswer: 2, 3, 902611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let i = -9071\/27168 + 5\/9056. Is i bigger than 57.23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llslsll. What is prob of picking 2 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 - 0. Let n = -64 + 129\/2. Let f = n - 2. Which is the smallest value?  (a) f  (b) 1\/2  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i - 13 = -5*k, -k + 10 - 3 = 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pee when three letters picked without replacement from oeoppepeeeeepe?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8956621, -5, 5 in ascending order.\nAnswer: -5, 5, 8956621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z - 8 = 3*j, 511*z = 512*z + 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -78*u + 36. Let x(d) = 39*d - 18. Let o(i) = 5*x(i) + 3*z(i). Let n(a) = -4 + 0 + 4 + 11*a - 5. What is 18*n(q) + 5*o(q)?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, -1, -1\/5 in descending order.\nAnswer: 2, -1\/5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, 85, -2 in increasing order.\nAnswer: -5, -2, 0, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -41010, -41003, -40984, -40947, -40886, -40795?\n\"Answer: a**3 - 41011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 33\/32600 and -107\/1040?\nAnswer: 847600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -8 + 1 + 22 - 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-17)\/(-17)*2\/3. Which is the smallest value?  (a) n  (b) -1  (c) -0.5  (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14 + 30. Let n be -2 - 1*2663\/a. Let w = -168 - n. Calculate the common denominator of w and 17\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 34 + -21. Suppose -4 = -3*j + 5*i + 3, 0 = -3*j + i - a. Let q(p) = -p**3 - 7*p**2 - 5*p + 1. Give q(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/(-7)*(1 - (-270)\/(-396)). Let w = 1 - 5. What is the closest to 1 in -5, -1, h, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**2 - 36*q - 18. Let r(j) = 2*j**2 + 20*j + 10. Let x(d) = 5*p(d) + 9*r(d). Let g(s) = -945*s. Give g(x(b)).\nAnswer: -12285*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -76*p + 2. Let j be a(-2). Let s be (-924)\/(-24)*(-2 - 72\/(-28)). Calculate the greatest common factor of j and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 + 5*m**2 + 5*m + 8. Let a be l(6). Solve -4*t + a*t = 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/4  (b) 2  (c) 8.3  (d) 1\/13  (e) 1\/6  (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 341195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzbu when four letters picked without replacement from zbjjjuzzzzzzbzbbjgz?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = f + 40. Suppose 5*k + 30 = 5*t, 0 = -3*t + 4*k - 5*k + f. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a millennium in months?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:14 AM and 5:49 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13970 + 6915146\/495. Let u = -953\/990 - w. Find the common denominator of u and (15\/50)\/(12\/370).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the second derivative of s**3 - 793*s. Let b(o) = 37*o - 5. Give n(b(a)).\nAnswer: 222*a - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(91)\/(sqrt(567) - (sqrt(567) - (sqrt(567) - (sqrt(567) + 1*sqrt(567)))) - sqrt(567)) + 5)**2.\nAnswer: -5*sqrt(13)\/9 + 8113\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -176224\/27 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3 - 17)\/2 - 3. Let k = t - -17. Calculate the remainder when 33 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**3 + a**2. Let z be i(-1). What is the smallest common multiple of 14 - ((-44)\/(-55))\/(z\/5) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -17*i + 26. Let q(r) = 6*r - 9. Let k(j) = 4*g(j) + 11*q(j). Let l be k(1). Solve 0 = 2*a - 4*h - 2, 0 = l*a - h + 3*h - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the first derivative of 2*j**5\/5 + 2*j**4 + 4*j**3\/3 - 4*j**2 - 6*j - 361. Factor h(y).\nAnswer: 2*(y - 1)*(y + 1)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2 + 1)*(-3*v**3 + 2 - 2 + (0 + v**3 + 0)*(-3 - 3 + 5)).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-17 - (-11 - -3))\/(-1167). Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 plus 28.1?\nAnswer: 26.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, a: 4, i: 2, k: 2, y: 3, e: 1}. Give prob of sequence ak.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:38 AM and 8:44 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16 + (-25 - -34) - (0 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-1))**48)**(-1\/41)*(l**1*l)**2*l**(-4)\/l*l*l*l**(2\/7)*l*l assuming l is positive.\nAnswer: l**(1279\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s + s + 84. Calculate the least common multiple of 152 and 6\/s + (-24)\/(-14).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000926325 rounded to seven decimal places?\nAnswer: -0.0000926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -15, c - 10 = -2*c - v. Suppose 0 = c*y - 4*y - 2. What is the remainder when 10 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 2 - 5)*(-j**4 + 3*j**4 + 0*j**4)*(2*j + 0*j + 0*j).\nAnswer: 4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**2 + 7*z + 13. Let h be b(-5). Suppose 0 = x - g - 454, -h*x + 5*g - 2260 = -8*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d**(-2)*d)*d)**(2\/33)*d**1*d**0 assuming d is positive.\nAnswer: d**(13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (6 - (6 + 2)) + -9 + 29\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 284970427 to the power of 1\/2, to the nearest integer?\nAnswer: 16881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-14 - (-2 + -2)) + 1. Which is bigger: f or -10?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0029125473 to four dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.42 - 3.42. Let k = q - -24.9. What is k rounded to 0 dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -3*t**2 - 22. Let p(d) = 8*d**2 + d + 45. What is -2*p(k) - 5*w(k)?\nAnswer: -k**2 - 2*k + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -293 = -3*f + 1. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes before 3:05 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-5)*114\/(-228)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 4*q**2 + q + 1. Let f be s(-1). Suppose -4 = g, 3*w + 2*w + 3*g = 3. Solve w*j = f*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4125210 is divided by 5316.\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 145135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tytaq. What is prob of sequence yqt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2786 - 19490\/7. Factor 8\/7 + 4\/7*t**2 + p*t.\nAnswer: 4*(t + 1)*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1129170600.\nAnswer: 2, 3, 5, 17, 36901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**2\/5 + 5704*r\/5 - 1141.\nAnswer: (r - 1)*(r + 5705)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 48410669 rounded to the nearest one million?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1.5 and 125.\nAnswer: 126.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zb when two letters picked without replacement from {b: 3, l: 1, z: 2, v: 6, k: 2, d: 5}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1b40a9 (base 12) to base 16\nAnswer: -76281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**17)**(-1\/25) assuming n is positive.\nAnswer: n**(-17\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1210?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of r**8\/3360 + r**7\/840 - r**5\/120 - r**4\/48 - r**3 - 2. Let x(y) be the third derivative of l(y). Let x(a) = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 0.1  (b) 2\/11  (c) 2  (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.1 - 0.1. Let d be (78\/65)\/((-1)\/(-5)). Suppose -d*k = 2*u - 3*k + 12, 0 = 3*u + 3*k + 12. Sort 3\/7, u, t in decreasing order.\nAnswer: t, 3\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -690, -2791, -6304, -11229?\n\"Answer: -706*d**2 + 17*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -57504.249 + 57481. Round i to 1 decimal place.\nAnswer: -23.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4715.94525 rounded to the nearest one hundred?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -287 at least -297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 395223 and 282.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y, 1 g, and 1 m when three letters picked without replacement from tqdgqyytqtttttmttttt.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are -10207 and -10207 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 3*w + 12 + 9, -4 = -3*q - w. Suppose -t + 5 = 2*b, 0 = -b - 0*b + q*t + 13. Let c = -6 - -14. Solve 5*k = k - 4*h - c, 3*k = -b*h - 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 3 d when four letters picked without replacement from sdssddsdsddd.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.05077 from -0.37.\nAnswer: -0.31923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + 17 + -20 + -19.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l + 2 + 8. Let r(q) = -961 + 961 + l*q. Let v(u) be the third derivative of -7*u**4\/24 + 2*u**2. What is r(v(f))?\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 25\/3*3\/5. Suppose -2*x - 4 = 0, 36 - 148 = -h*u - 4*x. What is the greatest common divisor of 216 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -9, 2\/9, -2 in descending order.\nAnswer: 1, 2\/9, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*z - 232. Let o be 1\/3 + z\/(-9). Let l = 24 - o. Calculate the remainder when 31 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9491559s in minutes?\nAnswer: 0.015819265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 6 = 0, 2*d + 2*x = -2*d - 28. Let j(i) be the first derivative of i - 10*i**2 + 9*i**2 + 9 - 30 - 37. Determine j(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -153 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes before 12:07 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 179327791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000119842911 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (699\/15 - -3) + (-6)\/10. Let m = -86 + 32. Let a = x + m. What is the fourth smallest value in -1, 2\/19, a, -4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6822 divided by 758?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2*(-12)\/30*-5)\/(-14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 5*z - 23. Suppose -5*i = -3*w - 26, 2*i - w - 7 = z. What is the least common multiple of 185 and i?\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52211949?\nAnswer: 3, 17403983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.873769 millilitres in litres?\nAnswer: 0.007873769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 + 1)*4\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11812212 and 1428?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17498 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 206889?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 185 + -165. Let z(r) = -33*r - 22. Let c be z(-10). Suppose 3*f + f = c. Calculate the remainder when f is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2811?\nAnswer: 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 824770877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the first derivative of -263*q**5\/5 + q**3\/3 + 529*q**2\/2 + 742. Find the third derivative of o(m) wrt m.\nAnswer: -6312*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -21444 equal to -21435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 237057563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 114*a - 4612. Calculate i(40).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.7924 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/21)\/((-2)\/(6*-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 2*n + n + 1 - 6*n + 2*n. Let b be t(2). Let v be 1 + 1 - (5 + b). Do v and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m + 1. Let y(d) = 12*d + 2. Let x(h) = -8*n(h) - y(h). Let u be x(-3). Let w(c) = -c**2 - 10*c. Let o(r) = 3*r. Determine u*w(z) + 7*o(z).\nAnswer: -2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 6\/25 of a millennium?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 82 - 24 = -4*q - 0*u + 2*u, -15*q = -3*u + 204 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -10002110 (base 4) to base 13\nAnswer: -76a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 plus 735?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -19.11 + 19.01. Which is the closest to 1?  (a) r  (b) -0.09  (c) 18  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2867508 divided by -18\nAnswer: 159306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 39.681 + -0.281. Let w = 36 - u. Let g = w - -3.7. What is the smallest value in g, 0.07, 0.4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 294, 390, 490, 594, 702?\n\"Answer: 2*k**2 + 90*k + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 12:21 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24868291 and 9487?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 977.848 millilitres?\nAnswer: 0.977848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*(n*n\/(n**(-5)*n))\/n)\/n)\/(n\/(n*n\/n**(-10)))*n*n**8*n**1)**38 assuming n is positive.\nAnswer: n**988","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11 - -7. Let r(x) = 2*x**2 - 2*x + 1. Let y be r(o). Let p = y + -12. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 14 = -172. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 - -41. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 40*y - 4)*(0 + 0 - 9)*(2 - 5 + 1)*(4 - 2 - 1) to the form k*y + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6522?\nAnswer: 2, 3, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 54*j - 129 - 303 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 12. Let r(t) = t - 13. Let s(x) = -2*r(x) - 3*z(x). Let a be (-1716)\/(-4) + 1 + 0. Let o = a + -421. What is s(o)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*f - 13 = 27 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 61\/2 of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -3*t - 17. Let z(x) = -x + 1. Let i(h) = -j(h) - 6*z(h). Let m be (14\/4)\/((-1)\/(-2)). Let d(q) = 1 + 6 - 2 + 0 + 4*q. Determine m*d(l) - 3*i(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 205*z - 536*z + 211*z in the form a + l*z and give l.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8270496 divided by 3.\nAnswer: -2756832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2176002 nanometers to meters.\nAnswer: 0.0000000002176002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8459\/2820 + 418\/141. Find the common denominator of b and -139\/120.\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 5*n = -3*u, 0 = u + n. Let v be u - (4 - 4 - 0). Suppose v = -5*h + 2*h + 54. What is the highest common divisor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*r**3 + r**2 - r**2)*(-r + 4*r - 2*r) + (-r**2 - r**2 + 0*r**2)*(33*r - 8*r - 5*r)*(3*r + r + 6*r) to l + o*r**3 + g*r**4 + j*r**2 + h*r and give g.\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 17\/2 of a decade?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 3)*(-3*m**3 - m**3 + 2*m**3) + (1 + m**2 - 1)*(m + 2*m - 2*m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + 4 - (-2)\/(-2 - -4). What is the fourth smallest value in 1\/2, 2, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iih when three letters picked without replacement from {i: 3, w: 1, h: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*i**2 - 76*i - 27*i + 138*i - 35*i + 8*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/2  (b) 21  (c) -2\/19  (d) 0.02  (e) -0.1  (f) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2\/5  (b) -7  (c) 1\/6  (d) -3  (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 2*s + 10 = -19, 41 = 5*w + 4*s. Suppose 16*a = 41 - w. Solve a*v = v + 4*b - 20, -3*b + 12 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 7358, 14716, 22078, 29444, 36814?\n\"Answer: 2*d**2 + 7352*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6039 divided by -6039?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1397790 is divided by 1936.\nAnswer: 1934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/192 and 49\/96.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1156657188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 1)*(-2*y**3 - 3*y**3 + 6*y**3) - 13*y**3 + 20*y**3 + 17*y**3.\nAnswer: 26*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-308)\/(-35)*(-5)\/(-2). Let i = k - 19. Solve i*m - 8 - 1 = 0, -10 = 2*c - 2*m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 13 = -2*f. Factor -w**3 - 20*w**2 + 27*w**2 - 2*w**3 - f*w**2.\nAnswer: -3*w**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -z - 2*z + z - 7 - 9*z + 7 + (3*z - 5*z + 3*z)*((1 + 3 - 3)*(-1 - 4 + 3) + 4 + 2 - 2 - 6 + 0 + 2).\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -3*w + 66. Calculate x(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 662 and 24.\nAnswer: 15888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/(-10) - 4\/10. Let t be ((-4)\/(-16))\/(4\/32). Suppose -4*g + 77 = -u, -5*g + 0*u = t*u - 93. Solve 0*c - x - g = 3*c, -x - 4 = q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 3002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/12)\/(22\/48)*1683\/1530.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 7\/(-6) - 2\/(-2). Let p be (-121741)\/20673 + (-34)\/(-6). Sort a, 1, -7\/8, p.\nAnswer: -7\/8, p, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 793714?\nAnswer: 2, 229, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - -1 - 0) + (-15 - -16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-560)\/(-128) - 3\/8. Let v(g) be the second derivative of h*g + 3\/2*g**3 + 0 + 1\/12*g**4 + 2*g**2. What is v(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -3*w + 5, 3*i + 4*w - 26 = 6*w. Let k be ((-66)\/i)\/((-168)\/(-64)). Is -3 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6*1\/(-2) - 8. Let a = -8 - t. Does 4 divide (-102)\/(-8) + a\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.46956+16363766\nAnswer: 16363765.53044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 103 + -96. Suppose -1295 - 7063 = -r*t. What are the prime factors of t?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 84 divide 37968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dbwqwkr. What is prob of picking 1 r, 1 w, and 1 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the first derivative of 5*w**9\/84 + 23*w**5\/60 + 5*w**2 - 11. Let d(b) be the second derivative of x(b). Find the third derivative of d(m) wrt m.\nAnswer: 3600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1734195*b**2*t**2 - 430*b**2*t + 4*t - 4 wrt t.\nAnswer: -3468390*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (63\/(-12))\/(((-285)\/10520)\/19).\nAnswer: 2, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-8)\/78*(-33)\/22. What is the closest to 0 in 4, 4\/11, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.465 - -1.535. Which is the closest to w?  (a) 2\/7  (b) -3\/5  (c) -1\/9  (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*(-5)\/180*3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) + (sqrt(76) - (2 + sqrt(76))*5))*5)**2.\nAnswer: 3000*sqrt(19) + 19600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**3 + 5*n**2 + 3. Let a = 31 + -21. Calculate the remainder when r(-4) is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m. Let h(d) = -273*d + 3. Calculate r(h(y)).\nAnswer: 273*y - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9529423, -19058845, -28588267, -38117689, -47647111, -57176533?\nAnswer: -66705955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 - 1415234?\nAnswer: -1415235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1451\/8 + -363\/2. Let z = 0.9 + -0.8. What is the nearest to -1 in i, z, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-402)\/201*1\/6\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 3*z = -7. Let x = 97663\/20 + -4888. Calculate the common denominator of x and (z\/(560\/1215))\/(-3).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 991306.\nAnswer: 2, 19, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 61*o**3 + 2*o**3 - 20*o**3 + 63.\nAnswer: 43*o**3 + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 - -1) + -5 + 354. Let t = -2439\/7 + z. Sort -1\/3, -3, t.\nAnswer: -3, -1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-6*(sqrt(4032) + 5 + (sqrt(4032) - (sqrt(4032)*-1 + sqrt(4032)))) + 4 + 5 + -1*sqrt(4032)))**2.\nAnswer: 209664*sqrt(7) + 10909584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkgkkfkgggftggtkft. Give prob of picking 2 g and 1 t.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 44 + -12412?\nAnswer: -12346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00005953113 to six decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 3*h + 1. Let v be x(-3). Let q(l) = 4*l**2 - 3*l - 1. Let t be q(-2). Is 20 + t\/(-14)*v\/(-6) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 157488 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-48)\/(-18))\/(((-8)\/36)\/((-24)\/(-504)))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7, -6, -3, 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 + -2. Solve 5*p + 2 = 2*t, 1 = -q*t + p + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1659, 1670, 1681, 1692, 1703?\nAnswer: 1714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -6*j + 7*j. Let q be 8*(-1)\/j*(-3 - -1). Which is the closest to 2?  (a) q  (b) -1  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - 14 = -4*u - 2*o, u - o - 5 = 0. Let r(y) = 6 + 0 + 1 - y + 0. Is 3 a factor of r(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -3*t**2 - 12*t - 16. Let q(h) = 20*h**2 + 71*h + 97. Let p(d) = 2*q(d) + 13*u(d). Let m be p(15). Let n(w) = 20*w**2 - 1. Calculate n(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -4*x**5 - 14412*x**4 + 260392*x**3 - 1158792*x**2 - 260388*x + 1173204 = 0.\nAnswer: -3621, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 3*h**4 + 1734*h**3 + 187776*h**2 - 19292160*h - 39321600 = 0.\nAnswer: -320, -2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15 + -16. Is 2\/23 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 2, o: 4, l: 2}. Give prob of picking 4 o.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2762 - -5078. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4432.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v - 108 + 132 = 0. Solve v*k + 1 = -3*f, -f = 4*k + f - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 2490*i - 1743001. Give n(700).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -50 divided by 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 484.09 - 481.7. Is m equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -10*f**4 - 18*f + 222?\nAnswer: -40*f**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**3\/4 + 34967*f**2\/4 + 69931*f\/4 + 34965\/4.\nAnswer: (f + 1)**2*(f + 34965)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -11*i - 214. Let b(h) = -h**2 - 12*h - 215. Let j(w) = -2*b(w) + 3*n(w). Calculate the remainder when j(-11) is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**2 + 7*q + 6. Let n be k(-4). Let x be 0\/4 - (0 + n). Suppose s = -2*s - x. Sort s, 2, -1 in descending order.\nAnswer: 2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**17*d**13\/d*d**7*d*d*d**22*d)**1 assuming d is positive.\nAnswer: d**61","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14475*n**4 + 2841*n.\nAnswer: 173700*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v = 2 - 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is (-7 - 9)\/8 + 83868 + -9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.4 - 6.4. Let p = -6.02 - d. Let n = p + -0.18. What is the nearest to 2 in 2, -4, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:22 PM and 9:52 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1007*j - 141*j - 480*j + ((5 - 3*j - 5)*(-4 + 2 + 1) - 2*j - 3*j + 4*j)*(-1 - 2 + 4) to the form v + k*j and give k.\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:31 PM and 8:50 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -28522110.2 to the nearest one million.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -465232*t**4 - 120*t + 488.\nAnswer: -5582784*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1233881 is divided by 119.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 17*l + 28. Let q(c) = -8*c - 14. Let t = -20035 - -20022. Give t*q(a) - 6*n(a).\nAnswer: 2*a + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*r + 30 + 22 = 0. Let k = r - -72. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 5 = q - f, 5*q + 3*f - 21 = 0. Suppose 6*z + o - 11 = 2*z, q*o - 3 = 3*z. What is the greatest common factor of 2 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*n + 11*n + 1394 = -5*f, 5*f = -4*n + 1414. Calculate the remainder when n is divided by 69.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0.6, 1150\/7.\nAnswer: -5, 0.6, 1150\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2157544*n**4 + 5241171 wrt n?\nAnswer: -8630176*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (11*8\/(-176))\/1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -729*h + 66. Let i(k) = 1095*k - 91. Give 7*c(j) + 5*i(j).\nAnswer: 372*j + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((-3*sqrt(1331) - sqrt(77)\/(sqrt(7)*-1))*5 + 5))**2.\nAnswer: -1600*sqrt(11) + 281625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -34 + 124. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + -10 + -8 + -3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 608 + -516. Let b = a + -91.99999936. Round b to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -16.3 and 0.4.\nAnswer: -6.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**3 - 3*l**2 - 2*l - 4. Let d be b(-4). Let n = -11 + d. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-45)\/(-51480)*52*2*4\/(-2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15.5 - -16. Let m = -8 + 11. Which is the nearest to 0?  (a) -1\/4  (b) m  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 96008329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1833 + 1833.1. Is z less than or equal to -1279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1252 - 48\/(13 - 5).\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3265426607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 196 divide 30559909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-6 + 0)\/(24\/(-1236))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 425985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -4*q**3 + q**2 + 5*q - 8. Let v(f) = -f**3 + f - 1. Suppose -4*y + 9*y - 2*j = 15, 0 = 5*y + 2*j - 35. Give y*v(r) - w(r).\nAnswer: -r**3 - r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*r = -5*r - 9. Let q(y) be the second derivative of r*y + 0*y**2 - 1\/6*y**4 + 0 + 0*y**3. Let z(t) = 7*t. Determine q(z(c)).\nAnswer: -98*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ywjrwjgjggrwy. What is prob of sequence jg?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 21*h**2 - h - 2. Let t be g(2). Suppose 3*w - 7*w = -t. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5097*r*t*u**3 - 14*r*t*u**2 - 8*r*t*u - 3*t**2*u**3 - 6*t**2*u**2 - 2*t**2*u wrt u.\nAnswer: 30582*r*t - 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1252571 (base 8) to base 11\nAnswer: 2196a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 2 p when three letters picked without replacement from pppspspp?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -174336 divided by 181.\nAnswer: -174336\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 260 is divided by 134?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -666*c + 128226 = 222*c + 7*c + 99*c for c.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 3*q - 2 = 0. Let k(v) = -4*v**2 - 4*v - q + v**2 + 2*v**2. Let w be k(-2). Solve -l - w = -1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 1*(sqrt(3) + (3 + sqrt(3))**2).\nAnswer: 7*sqrt(3) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 51, 3\/10, 1\/14, 4\/5 in ascending order.\nAnswer: 1\/14, 3\/10, 4\/5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the first derivative of -4*g**3 + g**2 - 2. What is the second derivative of b(j) wrt j?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6476562)\/(-16)*1\/(-51). Let a = h - -7937. Let o = 457\/408 - a. Find the common denominator of -99\/4 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 5*q - 1 = 4, -5*q = 2*s - 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*o = -6*o + 8. List the prime factors of 1\/(4\/(-16))*o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 + -7 - -7) + 2 + -12 + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:26 PM and 4:43 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1127 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 63859 and 8143703?\nAnswer: 3361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-2)\/(-4))\/((-2)\/(-4)). Let k = z - 1\/2. Let o = 426.5 - 427. What is the second biggest value in -3, o, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -6, 15, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-56)\/12)\/(((-16)\/(-12))\/(-4)). What is the greatest common divisor of 35 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 1608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 4, -0.5, 153\/8, -3, 3?\nAnswer: 153\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (3 + 7 - 8) + (-6)\/3. Solve -12 = -0*h + 4*h + 2*y, w = 5*h - 5*y + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.05 + -0.05. Which is bigger: p or -2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 750500 is divided by 152?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-137)\/(-5) - (-40)\/(-100). Let g = -29 + p. Is -8\/5 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 500017260 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 47310070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -209*f**2. Let y(n) = 10*n**2. Determine y(b(l)).\nAnswer: 436810*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 93447.88 and -0.5.\nAnswer: -46723.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zkqny. What is prob of sequence nky?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 - g**2 + 4. Calculate j(-3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000049997 rounded to 6 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q - 3. Let m be j(-5). Let c = 13 - m. Calculate the remainder when 54 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 5 = -4*k. Suppose -25 = k*n, 9*y = 4*y + 4*n + 70. Find the first derivative of -10*z**2 + 3*z**2 + y - 32 wrt z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9127040 + -3.\nAnswer: -9127043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2c14 + 454?\nAnswer: 3368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -3, 0.3, -0.4, 408, -12?\nAnswer: 408","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 31973047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/4 > 99649225.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*u + 3*u + 3*u + 3*u + 9*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 57658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*n - 3*n = -20, 0 = o + 5*n + 27 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -113 + 68. Let s = w + 44. Which is the closest to 1?  (a) s  (b) -1\/5  (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*b = -1379 + 1439 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -39\/7*t**2 + 0*t - 1\/7*t**3 + 39\/7*t**4 + 0 + 1\/7*t**5 = 0.\nAnswer: -39, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*t**3 - 30*t + 114*t - 46*t + 131*t.\nAnswer: -2*t**3 + 169*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -4*(-3)\/(-6)*-11. Let h = o + -16. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 17721\/4 + -4429. Factor o*b**2 - 1\/2 - 3\/4*b.\nAnswer: (b - 1)*(5*b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 685665 and 23409.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 6 + 7 + l to k + u*l and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -53\/3, -4\/6631, 2\/15, 5, -0.4, -2?\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3 and -0.5687961335?\nAnswer: 2.4312038665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**3 + 7*v**2 + 2*v + 4. Suppose 3*d = -16 - 5. What is g(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -422 - -428. Let a(x) be the second derivative of -13\/12*x**4 + 0*x**5 + 0 - 6*x + 0*x**2 - 3\/10*x**r + 0*x**3. Find the third derivative of a(d) wrt d.\nAnswer: -216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 112.2 - 112. Let n(f) = -5*f**2 - 3*f - 2. Let v be n(-2). Let r be (v\/(-14) - 1)*-3. Sort r, 4, j in increasing order.\nAnswer: r, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 133050 is divided by 16613?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*o + 11*o = 22*o - 4*c - 135, 2*c = -37*o + 999 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 831769673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 2 + (1*sqrt(275) - sqrt(275) - sqrt(275) - sqrt(11)) - (sqrt(363)\/(sqrt(11) - (sqrt(11) - sqrt(44))) + sqrt(33))\/(sqrt(432)*1).\nAnswer: -49*sqrt(11)\/8 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 27\/(-90) - 4\/((-240)\/18). Solve 0 = 4*a - 3*l - 35, -5*l - 10 = -s*a + 3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 381 is divided by 349?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(176)\/(sqrt(8) - sqrt(128)*-2)*-6)\/(sqrt(4)\/(2*sqrt(72))*-2))**2.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000300407 to 6 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 17693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 665 and 42932001?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 2 = 1. Let k = -49943\/6084 + -9\/676. Calculate the common denominator of k and 129\/q*3\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 364 and 113932?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -170*y**2 - 69*y**3 - 79*y**2 + 247*y**2.\nAnswer: -69*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-27390)\/(-297) + (-4)\/18 + 4 is divided by (6\/(-6))\/(2\/(-40)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -521, -533, -545, -557, -569, -581?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 49640 and 132568.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(343) - (-1 + sqrt(343))*-1)**2.\nAnswer: -28*sqrt(7) + 1373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100 + 1?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1\/6, 0.4, -5 in descending order.\nAnswer: 2, 0.4, -1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2)\/(-4))\/(-1)*12. Is 24 a factor of ((-4)\/(-3))\/(a\/(-216))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*b**4 + 26*b**3 - 23*b**3 - 7 - 2*b + b wrt b.\nAnswer: -36*b**2 + 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*d + 25 = 80. Suppose -f - 21 = -3*j + 31, d*f = -4*j + 44. What is the greatest common divisor of j and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13717*a = -13714*a + 2*v - 16, 0 = -3*a - v + 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 1, 3*o + 37 = 2*p - 2*o. Let l be (2*-2)\/(-1 - 1). Let y(c) = c. Calculate the lowest common multiple of p and y(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -3*o. Let g(i) = -i**2 + i + 408. Calculate g(r) + q(r).\nAnswer: -r**2 - 2*r + 408","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 339730 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: Is 239329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 298 - 3872\/13. What is the second biggest value in -1, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 12) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccz when three letters picked without replacement from {m: 3, g: 1, z: 1, c: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 255*k + 13517. What is v(-53)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 24 = 181. Let s = o - 43. Let k = -82 - s. Solve 15 = 5*h - k*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 0  (b) -0.5  (c) -6\/17  (d) -4  (e) -145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 31230, 64119, 97060, 130059, 163122, 196255?\nAnswer: 229464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47726 = 30*o - 48056 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*h + 2*h**3 + h - 5*h**2 - 7*h - h**3 as o*h**2 + f + q*h + r*h**3 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9829*f**3 - 46*f**2 - 64*f + 1 wrt f?\nAnswer: 58974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 390 = -12*r + 474 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10623 equal to 10628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10347 is divided by 134.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 223296898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5415*w - 159 + 337 - 178 to y + m*w and give m.\nAnswer: -5415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.08 - -12014090739.\nAnswer: 12014090739.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.94 - -0.06. Let g = 4.61 + 0.39. What is the nearest to 2\/7 in z, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 509?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -17*y + 129, -4*p - 4*y = -2*p - 6. Let l(r) be the second derivative of -r**5\/20 - 3*r**4\/4 + r**3\/6 + 4*r**2 - 3*r. Determine l(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -26*u**4 + 19681*u**3 + 3*u**2 - 36788*u + 33.\nAnswer: -312*u**2 + 118086*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m - 3*m - 3. Suppose 0 = 3*o + m*r - 5925, -4*o + 4*r - 974 + 8858 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vrvlalvvrrza. Give prob of sequence lrl.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 110 and 2470754?\nAnswer: 12353770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -5  (b) 0.24  (c) -4\/9  (d) -0.1  (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 9 and -89025.15.\nAnswer: -801226.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 - 8802?\nAnswer: -8802.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77*s = -55*s + 132 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1616 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - 0. Let x = -1.19 - -6.19. Let d = -78905\/4 + 19726. What is the closest to m in d, 10, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22 and 376500.\nAnswer: 4141500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.3 + -1.3. Let r = 77.739 - 77.439. Which is the third smallest value?  (a) 2.4  (b) r  (c) y  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 240185462 rounded to the nearest one million?\nAnswer: 240000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 175520?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -81.9 + 66.9. Let w = -9.3 + 12.3. Put w, -3, p, -4 in increasing order.\nAnswer: p, -4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:07 AM and 11:54 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3754.698 + 4155.54. Let w = d - -0.158. Let s = w - 428.7. Round s to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.2 and -48774.\nAnswer: -58528.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -12408452*c**4*i**2 + 2*i**2 - 141237*i wrt c.\nAnswer: -49633808*c**3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o + 155 = 0, 10*f - 129*o + 61 = -130*o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 895.851 rounded to one decimal place?\nAnswer: 895.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -289381 rounded to the nearest 1000?\nAnswer: -289000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -9*y - 9. Let b be o(-1). Let q be (-10)\/((-1)\/((-9)\/6)). Let f = b - q. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (25\/(-10) + 2)*(7 - -3). Let q(g) = 64*g - 642. Let d be q(10). Put 5, c, 254, d in ascending order.\nAnswer: c, d, 5, 254","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53*d + 3*n = 51*d - 33, 0 = -d + 6*n + 81 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the first derivative of -7*r**6\/6 + 5*r**2\/2 + 7. Find the second derivative of k(u) wrt u.\nAnswer: -140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-20375)\/(-50) - (-1)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8\/6 + 1\/(-3). Let c = -71581 + 71577. Suppose -2*i - i = -4*r - 21, -2*r - 4*i = 16. Put r, v, c in descending order.\nAnswer: v, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 12 = 5*p + 4*l, 6 = 3*p - 2*l. Suppose p = 2*c - 2, -2*c + 6*c + 311 = 5*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1, -0.3, -0.2, 23, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**3 + 2*t + 2. Let p be q(0). Let d be (0 + p\/(-4))*0. Solve d = 3*h - 2 + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -4 + 3 + 10*v - 4*v. Suppose -4 = -2*o - 0. Let n be u(o). Solve -5*h = g + 15 + n, 3*h + 3*g + 18 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -2*b**2 + 56*b + 41. Suppose -16 = 5*i + 4, -5*i - 155 = -5*u. Is 2 a factor of o(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dnbbqyyqhbqn. What is prob of picking 1 b and 1 y?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 64897337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100111022 (base 3) to base 2.\nAnswer: -1101100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -321 (base 4) to base 16\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 51086 and 61.3.\nAnswer: 3131571.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (40\/14)\/(4\/14). Suppose 3*d - r + 115 = 0. Is (-12166)\/d - 3\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9 - -9. Do 0 and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2804117314?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -16*u**3 - 2*u**2 - 2*u + 2. Let s = 2272 - 2191. Let a(m) = 639*m**3 + 81*m**2 + 81*m - 81. Determine s*b(f) + 2*a(f).\nAnswer: -18*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 204979287.\nAnswer: 3, 1459, 46831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -217?\nAnswer: 1\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(2\/37))**10 assuming i is positive.\nAnswer: i**(20\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -383*f + 85413. What is u(223)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -2*y**2 - 3*y + 955. Give h(-22).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 41, 205, 623, 1421, 2725, 4661, 7355, 10933?\n\"Answer: 21*n**3 + n**2 + 14*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 24 = 6*n - 2*n, 15 = -3*n. Suppose -10 = m - 4*r, -4*r + 2 = -m - l*r. Calculate the remainder when ((-18)\/(-15))\/(m\/465) is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -39027\/103 or -378?\nAnswer: -39027\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -4*f**2 + 9*f + 233. Determine v(13).\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 132 - 130. Solve 3*x + 0*d - 2*d + 6 = 0, y*x = -d + 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3583 + 3586. Let f(x) = -x**3 - 13*x**2 + 12*x - 26. Let k be f(-14). Which is the nearest to m?  (a) k  (b) -3\/8  (c) 0.4  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 12 - 1887?\nAnswer: -1875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the second derivative of 5*t - 5\/42*t**3 - 1\/84*t**4 + 0 - 2\/7*t**2. Solve b(v) = 0 for v.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1556 a factor of 28158932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 169769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -16*n - 5*h + 47, 56 = -n - 3*h + 129 - 62 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -y**2 + 6*y**2 - 2*y**2 + (y + y - 3*y)*(3*y - y + 0*y) in the form z + j*y**2 + n*y and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*x**2 - 16 + 8 + 9 + 0*x**2 + 47*x**4 to the form f*x**4 + y*x + h*x**2 + k*x**3 + i and give f.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 36 = -s + 5*w, 88 = 5*s + 2*w. What is the common denominator of ((-3)\/(-15)*5)\/((-2)\/(-14)) and s\/20 - (-116)\/(-70)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 26 - 12 + 16 - 26*f + 25*f. Let v be y(29). Let i(b) = -b + 8. Let u be i(0). Calculate the highest common divisor of v and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11 - 10.6. Which is the nearest to -1?  (a) d  (b) 0  (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -468 divided by -117.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -55 in 88, -2\/5, 4\/39, -2\/41?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2864664 - 2864666 + 5729330 + 191*b.\nAnswer: 191*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 - 7*u**2 - 7*u - 4. Let p be o(-6). Let q(v) = v**3 + 2*v**2 - v + 1. Let r be q(-3). Sort r, 4, p in ascending order.\nAnswer: r, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (31 - 30 - (0 - 1)) + (46 - (29 + -61)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -2*q + 2. Let a be ((-12)\/15)\/(4\/(-30)). Suppose 3*y = -m - 13, 2*y - a*y - m - 17 = 0. Is d(y) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -103*a + 503*a - 167348 = -3238*a for a.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.3, -0.07205, -2\/7, -27?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-4 + (2*sqrt(200)\/sqrt(80))\/(sqrt(800) + -2*sqrt(800)*-1)).\nAnswer: -sqrt(5)\/12 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 31 + -17 + -1 + (-110 - -119) + 12.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1469 - 733 - 736 - 124847*d**3.\nAnswer: -124847*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fhomzzmmmzzhzfmmhzm. What is prob of sequence hoz?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (178\/(-3115))\/(3\/7)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50303238 is divided by 1163.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 331c (base 15) to base 11\nAnswer: 8153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/7  (b) 0  (c) -0.2  (d) 0.2  (e) -137007\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 13) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000059063 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, -6, -0.05?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 204273 to the power of 1\/2, to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x - 3*x + 0*x. Let g(b) = 28*b**2 + 12 - 26*b**2 - 12. Determine k(g(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -66 - (22 + -23 - (-4 + 1))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/2  (b) -2  (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -29, -113, -255, -461, -737, -1089, -1523?\n\"Answer: -g**3 - 23*g**2 - 8*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g + 21. Let w be q(-19). Let j(d) = 4*d - 2. Let o(x) = x**2 + 5*x - 2. Let p(s) = -4*j(s) + 3*o(s). Calculate p(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 75 divide 1256550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 - 0. Let u(y) = 4*y**3 + 4*y**2 - 6*y + 7. Let a be u(1). Sort a, 3, b, -2\/3 in ascending order.\nAnswer: -2\/3, b, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 - 3*x**2 + 4*x - 3. Suppose 2*w - 2 = -4*u, 0 = 4*w + 4*u + u - 7. Let f be k(w). Let d be (-3)\/4 - f\/(-12). Solve -2*y - 3 + 9 = d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/9, 0.05, -5, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**2 - 2*b - 2. What is v(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, 0.1, -49, 1031, 4, 5?\nAnswer: 1031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = -t + 5*i, 0 = 3*t - 2*i + 19 + 36. Let y be ((-2)\/t)\/((-12)\/9). What is the closest to y in -3, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*d + 36*d - 72 = 0. What is the second smallest value in 0.4, -30\/13, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18c2 (base 13) in base 4?\nAnswer: 321323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**3 + 6*u**2 - 5*u - 13. Let x be t(4). Let q(k) be the second derivative of -4*k**3\/3 + k**2\/2 + k. Give q(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1551529339.\nAnswer: 41, 2777, 13627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 260493 divided by -93?\nAnswer: -2801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 18\/11?  (a) 204  (b) -3\/19  (c) -3  (d) 1  (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**4 - z**2 + z. Let j(t) = -65*t**4 - 23*t**2 - 4*t. Let f(k) = j(k) + 4*u(k). Find the third derivative of f(w) wrt w.\nAnswer: -1464*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**3 - 7*g**2 + 17*g - 3. Calculate the remainder when 137\/5 + (-4)\/10 is divided by y(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/13, 5, 13, 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 48 * -394.89.\nAnswer: -18954.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 15, 7, 16587 in decreasing order.\nAnswer: 16587, 15, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oep when three letters picked without replacement from {o: 6, e: 2, p: 2, q: 3, y: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes before 9:40 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 z, and 1 y when three letters picked without replacement from {z: 2, h: 2, y: 1, w: 1, j: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1201222221 (base 3) to base 16.\nAnswer: -85d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14 and 136934?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -3*c**4\/4 + 96*c**3 - 5889*c**2\/2 + 23664*c - 83259\/4 = 0.\nAnswer: 1, 11, 29, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from {t: 2, e: 3, v: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**3 + 6*m**2 + 11*m - 19. Determine a(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1225*y + 1229*y + 2 - 2.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mzzyzzyyzyyzz. Give prob of picking 4 y.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2 - 0) + (-32)\/(-1 - 7). Suppose -2*s + b - 1805 = -3*s, b = -c*s + 10805. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.17293 rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uyyuyyyyuuyyyyyuuy. Give prob of sequence uyuu.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.09 - 1.41. Let u = b + -6.5. Let w = 8.136 + u. Round w to two decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44928609007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -2*l + 4. Let x be (-2 - (-8 + 3))\/1. Suppose 2*y = 3*r + 26, 5*r = -l*y + x*r + 20. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4 + 16220\/8 + (-2)\/4. Suppose 4*l = -5*s + 403 - b, -5*s = -4*l + 1612. Let v be -1 + ((-3)\/(-166))\/((-6)\/s). Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -32864877 and -0.007?\nAnswer: 32864876.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10 by 16742.\nAnswer: -5\/8371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (26*c + 7*c - 5*c)*(4 + 6 - 4) + 3*c + 0 + 0 as m + f*c and give f.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1000010010101 (base 2) in base 3?\nAnswer: 12211020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 371 * 2283\nAnswer: 846993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 253717 to the power of 1\/2, to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 6888*n + 384. Let m(u) = 1378*u + 80. Let k(a) = 5*c(a) - 24*m(a). Let b(o) = o. What is k(b(p))?\nAnswer: 1368*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the first derivative of -11*m**3\/3 + 3. Let u(k) = 2*k**2. Calculate u(b(t)).\nAnswer: 242*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**4 - 2*q**4 + 3*q**4)*(q + 2*q - q) + 0*q**2 + 0*q**2 + q**5 - 7*q**5 + 2*q**5 + 2*q**5 + 2*q**4 - 2*q**4 + 8*q**5.\nAnswer: 10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mj when two letters picked without replacement from {i: 4, j: 6, m: 10}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 69*b**2 - 146823*b + 146823*b - 399*b**2 + 2.\nAnswer: -330*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of -3*f**2 - 1\/6*f**4 + 0 - 4*f + 0*f**3. What is the first derivative of x(t) wrt t?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) 39768  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/(-25) + (-48)\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 47\/(((-774)\/(-18))\/(-43)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 194, 195, 196, 197, 198, 199?\n\"Answer: a + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10 + -7. Suppose 0 = -j + s*j - 20. Suppose 0 = -t - 4*t + j. What is the lowest common multiple of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/73 and (-6)\/(-14) - (-148)\/28.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -1.3, 69, -3, -29.97, -5, -4?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (21\/(-147))\/((-2)\/(-4)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-2 + 1*sqrt(405) - sqrt(405))*3 + sqrt(405) + 0 + -5 + 4 + -1)**2*5.\nAnswer: 1440*sqrt(5) + 3305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -58\/301 and (46 + -47)\/(13\/(-9))?\nAnswer: 3913","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -335, -145, 179, 643, 1253, 2015?\n\"Answer: z**3 + 61*z**2 - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 1934 = 4*o, 4*i + 5*o - 3013 - 907 = 0. Let k be (4\/6)\/((-5)\/(i\/(-10))). Solve -8 = 5*p - k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -171.6 - -172. Let z = 20\/67 + -107\/134. What is the closest to 0.1 in a, z, 2, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 + 11*m**2 + 4*m + 23. List the prime factors of b(11).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((d\/d**(2\/3))\/d)\/d*d**(-2\/31)*d)\/((d*d\/((d**(-6)\/d)\/d*d))\/d**(-5\/3)))**(-46) assuming d is positive.\nAnswer: d**(48760\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 226529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1011 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*r - 31 - 13 = 0. Which is the closest to 2?  (a) 0.4  (b) 11\/2  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -84840543076*c**2 + 981010832*c - 2835856.\nAnswer: -4*(145637*c - 842)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5 or -230\/37?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 372755 + 372752 - 1118339 + 372832 - d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -58 - 2*a**2 + 42*a + 58.\nAnswer: -2*a**2 + 42*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(sqrt(1539) + -1) + (sqrt(1539) - sqrt(1539)*1) + 3)*4*-6*-5)**2.\nAnswer: -2592000*sqrt(19) + 89006400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert cb (base 16) to base 4.\nAnswer: 3023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -260*a**2 + 16386*a - 385. Calculate p(63).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -123?  (a) 1716  (b) -1\/10  (c) 4  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let -7*k**4 + 53236*k**3 - 4949843*k**2 + 706034*k = 0. What is k?\nAnswer: 0, 1\/7, 94, 7511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**2)**(-38))**(1\/42) assuming i is positive.\nAnswer: i**(-19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/6 - (256\/(-12) - -2). Solve 0 = 4*q - 3*s - 7, 3*q + 2*s + f = -2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 - (-9 + 10) - 22\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 49521840371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7276, 57887, 195202, 462559, 903296, 1560751, 2478262?\nAnswer: 3699167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 248 - 223 - (9 - (0 - 0)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -7 - 95\/(-15) - (-773)\/3. Suppose -j - 3*p + 8 + 61 = 0, 0 = -3*j + p + v. What is the highest common divisor of j and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -35*p - 1. Let n = -32 - -31. Let g be z(n). Suppose -6 = 2*h - g. What is the smallest common multiple of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-3))\/(((-135)\/18)\/(-3))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 28a2 (base 13) to base 11\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = u + 479*u - 40578 + 9858 for u.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: f5eb1 (base 16) to base 14\nAnswer: 1c3129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 + -12 + -28 + 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000011 + -100100101?\nAnswer: -101101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, q: 1, k: 2, x: 1, r: 1, u: 1}. What is prob of picking 1 x and 1 u?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -2*i**3\/3 - 14535046*i**2\/3 - 29070086*i\/3 - 4845014 = 0.\nAnswer: -7267521, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -4*k + 10. Suppose n + 1 = -y + k, 3*y + 5*n - 16 = 0. Let b(o) = o**3 + 3*o**2 - 5*o. Let a be b(-4). Solve 0 = -y*h + a*h - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 - -7. Let k = 19 - v. Let p = k + -6. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = -3*o + 92, -3*o + 2*o + 24 = 5*b. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11848 = -688*c - 1071*c + 12778 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 63196469 to the nearest integer?\nAnswer: 7950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 12097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 - 3)*2 + -6. Let b(f) = -f + 7 + 8 + 3 - 22. Let s be b(m). Solve s = -5*z + z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.01434*0.1\nAnswer: -0.001434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -2103 smaller than -2105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5\/228 - 73\/570. Is -0.1 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that -1\/4*n**4 + 0 - 1\/8*n**5 + 0*n + 0*n**2 + n**3 = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eseeseqeqsq. What is prob of sequence qqe?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.3252 + 407.0748. Let d = p + -407. What is the second biggest value in -0.4, 12, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 24 and 47896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2973090?\nAnswer: 2, 3, 5, 99103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -154842*-0.04.\nAnswer: 6193.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 90381?\nAnswer: 3, 47, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -16 + (7 - 1) + -2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5\/4, -25\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyxy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12212 (base 3) to base 16.\nAnswer: 9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 11*w - 6*w = -1045, 3*u + 3*w = 657. Suppose 27*f - 32*f + u = 4*k, -k + 1 = 0. What is the smallest common multiple of f and 27?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ap when two letters picked without replacement from aeeegpw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 1 = -4*n, g = -2*n + 3*g + 8. Let h be 0 + n*(-1 - -2). Put -1, h, 3 in ascending order.\nAnswer: -1, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-118)\/472)\/(5\/((-1280)\/(-1)))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3470 or -2?\nAnswer: -3470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*n**2 - 14638730*n + 29277440.\nAnswer: 5*(n - 2927744)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 - 18 - (1 + -2 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 138673806 is divided by 102.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106*u = 111*u - 710. Calculate the remainder when u is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b*b**(2\/7)*b\/(b**5*b*b)*((b*(b*b**(-2)*b)\/b)\/b)**(6\/17) assuming b is positive.\nAnswer: b**(-603\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(612) + sqrt(612) + sqrt(612) + -4 + sqrt(612) + 1 + -1 + 2 + (3 + sqrt(612))*1)*6)**2.\nAnswer: 34560*sqrt(17) + 8813376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4\/11  (b) 6  (c) -2  (d) 11\/156\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 3 a when four letters picked without replacement from yhhtyaayagr?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -256949, -513409, -769869?\n\"Answer: -256460*u - 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -233\/63 - -23\/9. Find the common denominator of -41\/16 and p.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 20*i + 11968. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, s: 6, x: 1, h: 1, k: 2}. What is prob of picking 2 j?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 10193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 4*w - 2*j, -4 = -2*w - 2*w + j. Let t(d) = 2*d - 1. Let q(i) = -14*i + 13. Let z(y) = w*q(y) + 6*t(y). Calculate z(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b**4 - 3*b**4 + 0*b**4)*(3 - 3 - 6*b).\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -52\/77 and 16\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 49 + -29. Suppose -j - r - 10 = 0. Is (-10)\/j - (-200)\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 713.7888409 and -1.46?\nAnswer: 715.2488409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add 0 and 292360.63.\nAnswer: 292360.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 28.2801 times -11.18\nAnswer: -316.171518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**3 + 20*f**2 + 3*f - 61. Determine b(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4573648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - 10 - (34 - (-1 + -9 - (48 + -50))).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 + 0. Let o(z) = -z - z**3 - 4*z + 3*z - 3*z**k. Suppose 2*v - 11 = 3*m, -1 = -0*m + 2*m + 5*v. What is o(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 48 + -22. Let t be 1 + -7 - (-1 + 7)\/(-3). Calculate the remainder when (t\/(-5))\/((-2)\/(-190) + 0) is divided by r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1244042959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -853 - -863. What is the remainder when 39 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n**2 - 504*n - 15876 = 0.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 2*j - 4)*(1933 - 2481 - 2366) to the form n*j + v and give n.\nAnswer: 5828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 - -2. Suppose -3*u = 2*a, -80*a + 75*a - 15 = 0. Sort x, 4, 5, u in decreasing order.\nAnswer: 5, 4, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p + 6*p = -4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 4*b**2 - 1. Let u(i) = -5504*i**2 + 1204. Determine -2408*q(f) - 2*u(f).\nAnswer: 1376*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*g + 5 + 10*g - 1 - 5*g in the form n*g + d and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*h - 160215 = 300294. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 16 = 2*z. Suppose -12 = z*a - 5*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (28 - 4) - -6 - (-1 + -1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17 - -14. Sort 0, m, 0.4, 0.5.\nAnswer: m, 0, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 - -5) + (2 - 1). Suppose 0 - 70 = -3*z + b, 2*z - d*b = 38. Suppose 2*h = -3*i + 2 - 0, -2*i = -5*h + z. Is -3\/2 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 178389291 + 2?\nAnswer: 178389293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*b - 13*b = -125*b + 2895816. What is the thousands digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k + 1. Let w(c) = -c**3 + 20*c**2 - 14*c - 102. Let j be w(19). Let t(r) = 3*r + 3. Determine j*l(s) + 2*t(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -195, -1, 1\/4, -25\/4 in increasing order.\nAnswer: -195, -25\/4, -1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1096107 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**3 - 5*l**2 + 4*l + 2. Let j be u(4). Suppose -y + j*y = -n + 124, 0 = 5*y - 3*n - 644. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -169*k + 18*k - 4*k + 10.\nAnswer: -155*k + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -25.02621 + 0.02621. Which is the nearest to g?  (a) -2  (b) -8\/3  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-2) + 2)\/(70\/(-560)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the third derivative of l**5\/60 - 5*l**4\/12 - l**3\/6 - 24*l**2. What is the tens digit of j(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5270041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 1)*(2*m - 3*m - m) + 2467*m + 5812*m + 1361*m + 3675*m - 2495*m.\nAnswer: 10822*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 40 + 44. Suppose -21*u = -84 - p. Calculate the highest common factor of u and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**2\/6 + 341*y + 348843\/2.\nAnswer: (y + 1023)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -67 - 40. Let a = j - -537\/5. Factor -2\/5*d**3 + 4\/5*d + a*d**2 + 0.\nAnswer: -2*d*(d - 2)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12184 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 74 = 10*o - 7*o, -68 = -5*h + o. Suppose -8*y - h = -45. Solve -20 = 2*a + y*n, -n - 5 = 4*a - 0*n for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2127.68694 + 2128. Let g = p - 0.309. What is g rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(2 + (-6*(2*(2*sqrt(209) - sqrt(209)) + sqrt(209)))\/(sqrt(99)*-4*-3)).\nAnswer: -3*sqrt(19)\/2 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -638867*g + 28827*g - 1042050*g + 440766*g.\nAnswer: -1211324*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -68, 3, 2.\nAnswer: -68, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2*(20\/8 + 1). Let l(f) = -f**3 - 7*f**2 - 1. Let g be l(x). Let u(a) = 7*a. Calculate u(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -424 in -0.2, -1\/7, -2, 3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 - -3. Let l(x) = -x**3 + 5*x**2 + 2*x - 7. Let k be l(p). Find the third derivative of 5*u**4 - u**4 - k*u**2 - 3*u**2 wrt u.\nAnswer: 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n**3 + 0*n**3 - n**3)*(17*n - 4*n + 6*n) + 0*n**4 - 2*n**4 + 3*n**4 - 3*n**4 - 5*n**4 + 0*n**4.\nAnswer: 31*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**2\/3 + 10096*w - 66473806\/3.\nAnswer: -2*(w - 12481)*(w - 2663)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -326 + -26?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 5  (b) -0.5  (c) 6  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 0*x + 15 = 0. Let h(r) = -2*r**2 - 29*r - 27. Suppose -3 = 8*t - 9*t, -2*t = -4*q - 54. What is the lowest common multiple of x and h(q)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69\/2 of a decade in months?\nAnswer: 4140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and -187193.\nAnswer: -374386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f**2 + 5*f**2 - 2*f**2)*(-9 + 0 - 2 + (1 - 2 + 3)*(0 + 1 - 3)).\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6556 - 525. Which is bigger: -3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 2*t + 3594 = 0, 14*r + 4*t + 2412 = 16*r. Suppose -34*i + r = -1078. Let g(u) = u**2 - 5*u + 9. What is the remainder when i is divided by g(7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.01 + 0.01. Suppose -2*v = 4*g - 6, 26*v - 23*v - 13 = -2*g. Which is the second biggest value?  (a) v  (b) 4  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -269692 + 2*a + 4*a + 269692.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 319 and 3333?\nAnswer: 96657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 9 = -4*p, -3*p + p = 4*y. Suppose -5*b = -0*b + p*s - 46, b = -5*s + 23. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 9.712 and -110?\nAnswer: -1068.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -39188.95 at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 - 4. Suppose q + 2*w + 0 = 14, -24 = -q - f*w. Suppose 0 = -5*a - 2*y + 30, 2*a - 4*y = -2*a - q. Solve a*k = -0*k + 4*t - 12, 0 = -k - 5*t - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h**3 - 2*h + 2*h + (3 + h - 3)*(-6*h**2 + 2 - 2) + (-1 - 1 - 2)*(10546 - 82*h - 10546)*(-3*h**2 + 3*h**2 + h**2).\nAnswer: 321*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 plus 0.13?\nAnswer: -6.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 + -18 + (-3 + 6 - 10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 - 38bcc28?\nAnswer: -38bcc29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3835)\/25)\/((-2080)\/800).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -34*u. Let n(i) = -40*i**2. Give n(g(q)).\nAnswer: -46240*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 159 + -149. Let x(a) = -a**3 + 9*a**2 + 12*a - 15. Let g be x(p). Solve -z - 4*k = -5*z, 6 = -z - g*k for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + -7 + 13)\/(52 + 13)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 172*f*q**2 + 2*f*q - 123*q**2 with respect to f.\nAnswer: 172*q**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 + 20 = -19*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58*m - 241*m = 64*m - 40303527. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:06 AM and 2:53 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.07 * 1427.7\nAnswer: -99.939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 - (8 + (-7 - (-10 + 4))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -4*u + 200. Suppose 3 = -0*m + m. Solve -5*i = 5*p - u, -m*i - 5*p + 25 = -5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 155097 is divided by 7737.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**9)**(4\/3)\/((k*(k*k**20\/k*k)\/k)\/k**(-20\/9)) assuming k is positive.\nAnswer: k**(-101\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*m + 13 = -83. What is the common denominator of (-350)\/m*(-6)\/45 and 107\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 7071914 from 0.15.\nAnswer: -7071913.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-72)\/(-4320)*15)\/(2\/58)?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 53 + -7. Let n = j + -12. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -33*y**6 + 61*y**2 - 2?\nAnswer: -3960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - 3 - (-44 + 61 - (10 + 2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.8  (b) -3  (c) -2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 2*k**3 - 3*k**3 + 1 + 4*k + 4*k**2 - 3 - k**2. Let x be o(4). Put -4, 3, x in increasing order.\nAnswer: -4, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.3976673962 to 2 decimal places.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**3 - 16*t**2 - t - 6. Let v be p(-16). Solve -5*o - 5*g + 15 = 0, -8*o + g = -v*o + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 8 = -m, 0 = 37*m - 32*m + 8*v + 28 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -648900 divided by 2\nAnswer: -324450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 31*n. Let p(y) = 2*y**2 - 3*y. Let h(j) = 6*j**2 - 10*j. Let a(t) = 3*h(t) - 10*p(t). What is a(q(v))?\nAnswer: -1922*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*i**2 - 6*i**2 - 4*i**2)*(-2*i**2 + 4*i**2 + i**2)*(4*i - i - i) - 2*i**5 + 0*i**3 + 0*i**3 + (2*i - 5*i + i)*(-3*i**4 + 6*i**4 - 2*i**4).\nAnswer: 32*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 330068 divided by 3838.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**3 + n**2 - 39*n + 216. Give z(5).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = 3*g - 13, -g + 3*h + 26 = 3*g. Suppose g*w + 4*y + 576 = 7*y, 4*y - 350 = 3*w. Let s = w - -121. Solve -s = i - 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 325 is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 1 = 8*q - 4*q, -4*q = 0. Let f = -1 - -1.5. Let r = -2\/119 + -107\/714. Which is the closest to l?  (a) 0  (b) r  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 5*a + 22 = -72, 4 = -2*a. Let c = 8 - 2. Calculate the remainder when 429\/y - (-2)\/4 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-4\/3)*a)\/a**1)\/(a**(2\/3)\/((a*a**(-1\/2))\/a)) assuming a is positive.\nAnswer: a**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 21.0720414 rounded to three decimal places?\nAnswer: 21.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1142 - 1343?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from err.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 564, -1, 0 in descending order.\nAnswer: 564, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*i**2 + 17 - 14*i**2 - 2)*(-i + 2*i - 3*i).\nAnswer: -4*i**3 - 30*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 485 = -2*y - 49, 5*y = -u + 150. Calculate the least common multiple of 69 and u.\nAnswer: 3105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 3 k when four letters picked without replacement from {y: 3, w: 2, p: 3, o: 1, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 566203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42753759.\nAnswer: 3, 17, 37, 139, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o**4\/11 - 98*o**3\/11 + 666*o**2\/11 + 13514*o\/11 + 23548\/11 = 0.\nAnswer: -7, -2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.15 in 2, 1\/2, 165?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 70 and 98.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from {c: 4, l: 7, f: 1, e: 3, q: 2, b: 1}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 + 144233?\nAnswer: 144234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the first derivative of 5*o**4\/4 - 5*o**2\/2 - 26. Factor h(f).\nAnswer: 5*f*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 57*i**2 + 300*i - 282. Give u(-6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-57*i - 1 + 15*i + 17*i)*(-35*i - 45*i - 10*i).\nAnswer: 2250*i**2 + 90*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:58 PM and 10:30 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/3*((-56)\/14 + 7). Let i be (-2)\/5*(1 + -11). Solve -2*t - d = i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**3 - u**2 + 106*u + 159. Determine f(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 3*h - 5. Let u(q) = q + 4. Let d be u(0). Solve r = -h*r + d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 336616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/(1 - 4 - -4). Suppose 2*g = 4*a - 150, 6*a - 4*g - 144 = 2*a. What is the remainder when a is divided by ((-5)\/(-3))\/(p\/12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the third derivative of 2*v**4\/3 - 4*v**3\/3 + 4*v**2. List the prime factors of y(6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the first derivative of 47*v**8\/1680 - 11*v**4\/24 - 2*v**3 - 18. Let z(a) be the third derivative of i(a). Differentiate z(x) wrt x.\nAnswer: 188*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2*6\/20 + 20636\/110. Calculate the greatest common divisor of 85 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h - 5*h = 106500. What is h rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -6*s**3 - 6*s**2 + 34*s - 53. Calculate j(2).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {a: 3, p: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 times 2411?\nAnswer: -482.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 46*u**3 + 23*u**2 - 23*u - 69. Let c(b) = -11*b**3 - 6*b**2 + 6*b + 18. Determine 23*c(k) + 6*x(k).\nAnswer: 23*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/((f\/(f*f**(-6\/11))*f)\/f*f)*f*f**(-3)*f assuming f is positive.\nAnswer: f**(-17\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.5585 - -4.5585. What is the nearest to 111.1 in v, 2\/11, -0.1, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1319504 to 3 dps.\nAnswer: -0.132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:15 AM and 6:25 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -15*o - 13. Let y(d) = -7*d - 6. Determine 6*b(t) - 13*y(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 112 = -3*h. Suppose -5*n + 5 + 2 = 4*a, -a + 4*n + h = 0. Let k be (0 + -50)\/(a\/(-4)). Round k to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -17635\/1216 + 3\/1216. Sort -12\/13, 0, y in descending order.\nAnswer: 0, -12\/13, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -139, -104, -69, -34?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 101910 and 60375?\nAnswer: 410187750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 + 742?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 38\/4 + 4\/(-8). Suppose -h = -3*z + w, -1 = z - 6*z - 3*w. Let t be (-6)\/((-4)\/z) - -10. Which is smaller: t or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in seventeen halves of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.123 - 62.123. Let h = 62.1 + y. Let m = -0.6 + 0.1. Which is greater: h or m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 791049150 to the nearest 100000.\nAnswer: 791000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 449 divided by -510\nAnswer: -449\/510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 11101001100 (base 2) to base 4\nAnswer: 131030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0\/(3 + 4 + -4). Suppose 10*d + 6*d = b. Solve d*l + 10 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -32336*b**3*f**3 - b**3*f + 2*b**3 + 135*b**2*f + 12*b**2 + 2*f**5 - 42*f wrt f.\nAnswer: -194016*b**3*f + 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 9  (b) 0.12  (c) 3\/7  (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 412 + 275. Let c(u) = -682 - 5*u + s - u**2 - 2*u. What is c(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.1 + 0.9. Let q(v) = v**3 - 5*v**2 + 4*v - 2. Let p be q(4). Let b be 1\/(-20) - p\/8. What is the closest to d in -2, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 5 = -k, 3*k = -3*c + 156. Calculate the remainder when 394 is divided by c.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-nine quarters of a microsecond in nanoseconds?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -156 - -196. Which is the closest to z?  (a) 0.4  (b) 0  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 76, 202, 392, 634, 916?\n\"Answer: -2*m**3 + 44*m**2 + 8*m + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*v**2 - 4*v**2 - 2*v**2)*(-v**2 + v**2 - 2*v**3) + 1 - 5*v**5 - 1 - 4*v**5 + 2*v**5 + 0*v**5.\nAnswer: -5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 102132391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1398 = 206*f - 116*f - 148*f + 4530 for f.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9699989.\nAnswer: 13, 746153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 124506 and 20342897?\nAnswer: 6917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*j + 19*j = -6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35879 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 3*m**2 + 559*m + 3238. Let z be i(-6). Let q(l) = 2*l**2 + 25*l + 15. Let o(n) = -3*n**2 - 37*n - 23. Let t(s) = -5*o(s) - 7*q(s). Give t(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(3 + sqrt(99))*5)**2.\nAnswer: 7200*sqrt(11) + 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 1 = 4, 3*w - 117 = -3*d. Let n = w - 44. Let m be 2 + n\/(-4)*6. Calculate the highest common divisor of 11 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -46 + 71. Let t(g) = g - 6 + 4 - 8. Let n be t(10). Solve -5*w - 3*a + d = n, 3*w - 3*a = -0*a - 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 26\/9591 and -121\/18072.\nAnswer: 57776184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1128\/(-18))\/(4\/(-6)). Suppose -6 = 4*g - l. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -95230*f + 95525*f + 20355 for f.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + (2 - -5 - 6 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 87079.84 micrometers to millimeters.\nAnswer: 87.07984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 127\/1116 and 125\/558?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -20 + 25. Calculate the common denominator of j*(-15)\/(-50) + 151\/(-46) and 19\/(-2)*1*-3.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23737 divided by -7?\nAnswer: -3391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 11 = a, 0*d - 7 = 3*a + 4*d. Suppose -4 = -a*f + f. Calculate the remainder when 5 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = h - 3*g, -3*h - 11*g + 18 + 11 = 0. Solve h = -7*w - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9466767?\nAnswer: 3, 350621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 83562460 + -5?\nAnswer: 83562454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**2 - 228*m + 1725. What is q(-235)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 16507880*i**2 - 13988232?\nAnswer: 33015760*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46778 - 15289 = 93*z - 20405. Let q = 105 + -43. What is the highest common factor of q and z?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (2 + 6)*((-23)\/9 + 3) and -13\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8283.\nAnswer: 3, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 2 j when three letters picked without replacement from qjjqjq?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4d572 + -1?\nAnswer: -4d573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28194, -28015, -27832, -27645, -27454, -27259, -27060?\nAnswer: -26857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 205380 and 1260?\nAnswer: 205380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -3*n**5\/7 - 44*n**4\/7 - 25*n**3\/7 + 44*n**2\/7 + 4*n = 0.\nAnswer: -14, -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 60362467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -605*q**2 + 5626170*q - 13080078045 = 0. Calculate q.\nAnswer: 51147\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -12826*w + 76958. Let m be a(6). Let i(s) = 6*s**2 + 2*s + 1. Let r be i(-1). Solve -m = r*p - 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j**4\/4 + 16429*j**3\/2 + 361325*j**2\/4 + 65689*j - 164235 = 0. Calculate j.\nAnswer: -32847, -10, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 975865 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: Calculate the remainder when 154102 is divided by 259.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 4, o: 1, u: 2, j: 10}. Give prob of sequence jo.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-40)\/(-50)*(-47)\/658\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 2  (b) 5  (c) -19  (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 244846416473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4.9 + -0.9. Let g = 318.6 - 173.8. Let n = -145 + g. Which is the third smallest value?  (a) 0.1  (b) n  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -544 (base 11) to base 7\nAnswer: -1622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3515.\nAnswer: 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -25*g**6 + 15*g**2 + 10. Let r = -14 + 11. Let p(j) = -8*j**6 + 5*j**2 + 3. Let x(h) = r*o(h) + 10*p(h). What is the third derivative of x(v) wrt v?\nAnswer: -600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68*g - 70*g - i = 2, 2*i = -4. Which is smaller: -2\/931 or g?\nAnswer: -2\/931","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 3*o - 9. Let z be n(7). Let h = z + -8. Let b = 41 - 30. Calculate the least common multiple of h and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -14*q**2 + 278*q + 20268.\nAnswer: -28*q + 278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*g = 12*g + 9783. Suppose 0 = 4*i + r - 4348, i - 4*i = -r - g. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide ((-4)\/30)\/1 + (-8272)\/(-165)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-171)*(-42)\/14?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pzjpppfjfjpwppjjjpf. Give prob of sequence ppw.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + 25, 2*r - 356 = 2*t - 6*t. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 62 = v, -2*q - v - v = -34. Let m = -17 + q. Which is the closest to 2\/9?  (a) 0.1  (b) -1  (c) 0.4  (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 9, i: 10, j: 1}. What is prob of picking 1 a and 1 j?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**2 + 56*t - 26*t - 14*t. Let f be (-10 - 6)*(-2 - -1). Let m be k(f). Solve 2*q = -5*d + 19, 2*d + 5*q + 0 + 5 = m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7231765 is divided by 51289?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8.7 - -10. Let i = 1.5 - j. Which is greater: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = 13*b - 1448, -3*b + 344 = -4*x - 0*x. What is the highest common divisor of 49 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 97, 284, 471, 658, 845?\n\"Answer: 187*j - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*o**4 - 1\/3*o**5 + 0 + 2\/3*o**3 + 0*o**2 - 1\/3*o.\nAnswer: -o*(o - 1)**2*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from dddmmdddddddmddddm.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -305.9719 - 0.0281. Let i = k - -306. Which is smaller: 1.26 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 2*z**3 + 31*z**2 + 14*z + 7. Let o be f(-15). Solve -2*l + 22 = o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8648514?\nAnswer: 2, 3, 7, 68639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f**3 + 8679*f**2 - 52101*f + 78165 = 0. What is f?\nAnswer: -8685, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4584?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/27 in -0.2, -953, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.15*2.59577.\nAnswer: 2.9851355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 - 18 = -3*h - 3*p, -3*p = -4*h + 40. Let c = h - 9. Suppose z + z = -2*n + 36, 0 = -3*z - c*n + 59. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 257909 is divided by 25780.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -520.5 + 520. Suppose -8*f + 5*f - m = 216, f = -5*m - 58. Sort 4, k, f, -3 in increasing order.\nAnswer: f, -3, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.4957125 months?\nAnswer: 0.00041309375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z**(-4\/7))\/z)\/(z\/(z*z**(1\/6))))\/(z**0)**(-3\/23) assuming z is positive.\nAnswer: z**(-17\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.43 - -0.03. Let k = 0.6 + i. Which is the nearest to k?  (a) -2\/15  (b) 0  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) 0.089  (c) 8  (d) 0  (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -2*u**3 + 25*u**2 + 36*u - 47. Let j be z(13). Calculate the highest common factor of j and 276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**5\/(x*x**(-3\/2)))**43\/((x**(-2\/15)\/(x\/(x*x*x**(-2\/7)*x*x)))\/((x\/((x**1\/x)\/x))\/x*x\/(x**(-5)*x))) assuming x is positive.\nAnswer: x**(50383\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-86 + 112 - 76)*(-2*w**2 + 5*w**2 - 2*w**2) + 0*w**2 - 2*w**2 + w**2.\nAnswer: -51*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -177709*m**3*s**3 - 4*m**3*s**2 - m**3*s - 2*m**2*s**2 - 14643*s**2 wrt s.\nAnswer: -1066254*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1*(3 - -7))\/(-2). Suppose -y*u = -3*u - 6. Find the second derivative of d**5 - 10*d**3 - 4*d + 10*d**3 - u*d**5 wrt d.\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 932533456?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -5*h - 13. Let c be m(-8). What is the highest common divisor of 18 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -123 * -0.16.\nAnswer: 19.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3106\/6)\/((-60)\/1080). Which is bigger: -9317 or s?\nAnswer: -9317","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24329.1*-20.3.\nAnswer: 493880.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 31 divided by -10\nAnswer: -31\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 580?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -2862 divided by -9\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k + 24*b - 20 = 3*k + 177*b, 2*b = k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -75 + -33 + 75 - (-10 + -10).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1380173710 divided by 276034742?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -x**3 - 12*x + 3*x + 166*x**2 - 57*x**2 - 4*x - 46*x**2 to the form f*x + m*x**3 + d*x**2 + j and give d.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 25 = 27. Let r = s - -88. Let y(b) = b**3 - 4*b**2 - 2*b - 6. Let a be y(5). What is the highest common factor of a and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the third derivative of p**6\/120 + p**5\/30 + p**4\/24 - 2*p**2. Let n be v(-1). What is the closest to n in -5, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 45 + -12. Suppose -2*f - 5*h + 2 = 16, h + 4 = 0. What is the greatest common factor of f and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 = 2*k - h - 319, -2*h = -4. What are the prime factors of k?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -700*z. Let k(y) = -716*y**2. Determine k(n(p)).\nAnswer: -350840000*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1003\/2 + 501. Which is the nearest to -0.2?  (a) 7  (b) u  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1c239c + -c?\nAnswer: 1c2390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2244 + 20330 = 352*l + 769 + 333 for l.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i = -q - 47, 9*i + 67884 = -3*q + 67698 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r = -2*r + 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 - 1. Let t(x) = 0 - 4*x - 3 - 2. Let n(z) = -11*z - 13. Let u(r) = 2*r + 2. Let h(y) = n(y) + 2*u(y). Determine g*t(q) + 3*h(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in -0.2075, 3, -0.295?\nAnswer: -0.2075","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 6*a**2 - 7*a + 2. Let d be (4\/6)\/(2\/12). What is the tens digit of s(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, h: 1, t: 1, p: 1, c: 1}. Give prob of sequence ct.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d - 1. Let q(r) = 9*r. Let a(f) = -2*q(f) - 10*z(f). Let w be a(3). Let i be 11\/(-33) + w\/12. Is -2 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 3*k - 6. Let i be a(3). Suppose 4*j + 8 = -0*h + h, -5*j = i*h + 10. Put h, -3, 6 in descending order.\nAnswer: 6, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*u + 37201 = -77111. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -16 + 17. Which is the biggest value?  (a) -5  (b) 3  (c) t  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1247795 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (135\/5 + -7)\/(-3 - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30888720.\nAnswer: 2, 3, 5, 42901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 112499*r**2 + 4. Let o be n(2). What is o rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1012\/(-276))\/((-6600)\/240).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 1568 = -p, p - 1176 = -4*t + t. Suppose 0 = -60*s + 118 + 148 + 214. Calculate the highest common factor of s and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66*f - 149*f + 893163 = 0. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes after 3:45 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:20 AM and 4:07 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 2*m - 4*s - 5, 2*m + 5*s + 3 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange y + 4 - 8*y**3 + 0*y + 10*y**3 - 4*y**4 to c*y**2 + k + a*y + j*y**4 + r*y**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence arp when three letters picked without replacement from arrprarrrr?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -327*f**3 + 868*f*j**3 - 4069953*j**3 + 2*j wrt f?\nAnswer: -981*f**2 + 868*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s**4 - 225745*s**3 + 2482790*s**2 - 9027840*s + 10833120 = 0 for s.\nAnswer: 3, 4, 45138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 3*t**2 - 3*t - 3. Let n(k) = -k - 2. Let z be n(3). Let d be (-22)\/z - (-6)\/(-15). Is w(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*t + t - 2*t)*(1 + 0 - 2).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2312 and 4?\nAnswer: 0.9248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -5, 526, 78, 4 in decreasing order.\nAnswer: 526, 78, 4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 10) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 238 - 161. Calculate the greatest common divisor of l and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38 is divided by (-24)\/9*(-90)\/12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(136) + (sqrt(136) - -6*1*sqrt(136) - sqrt(136)))\/((-1*sqrt(88))\/sqrt(11)).\nAnswer: -7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 105328504 to the power of 1\/3, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes before 11:24 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -28, -55, -80, -103, -124?\n\"Answer: s**2 - 30*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - d = -0*d. Let z be ((-5222)\/(-14))\/(d + -1). Does 15 divide z\/(-5) - (-6)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 124 divided by -4\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2326001 is divided by 76?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2*-1*(-5)\/(-2). Suppose -4*f + 2*f + 44 = 0. Let w = f + -16. Solve -m*p = -w + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwwwwwwqwqwwqw. Give prob of sequence qqwq.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 9*a**3 + 5*a**2 + 39. Let z(h) = 14*h**3 + 7*h**2 + 58. Let k(l) = -7*t(l) + 5*z(l). Find the first derivative of k(j) wrt j.\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 + -6. Let p be h + (42\/3 - 1). Suppose p = 2*w - 0*w. Solve -2*o - 2 - w = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 16441608 to the nearest integer?\nAnswer: 4055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3272472 and 3926.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) -10.7  (b) -4  (c) -1  (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**2 + z + 1. Suppose j = 2 + 5. Let h(i) = -1 + 5*i**2 - j*i**2 + 2*i - 1 - 3*i. Let y(x) = -3*h(x) - 5*w(x). Factor y(p).\nAnswer: (p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - d - 6 = -1, -2*d = -4*c + 2. Let z be 11 - 2 - -2 - c. Calculate the greatest common divisor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4635967 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 146974092 to the power of 1\/2, to the nearest integer?\nAnswer: 12123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1777399078 to the nearest integer?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (38\/190)\/((-11)\/(-110))*(-3)\/(6*1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*a + 2 - 2*a**3 - 3 + 2 + 6 + a to l*a + z*a**3 + h*a**2 + v and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (24 - 37 - (-8 - -1) - 14).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = h - 3*h. Suppose -h*r = 2*r - 8. Let c be (r\/5)\/(-5 + 165\/25). Is c at least 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 19429, 155575, 525133, 1244815, 2431333, 4201399, 6671725, 9959023?\n\"Answer: 19452*h**3 - 6*h**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the second derivative of -19\/6*l**4 + 0*l**3 + 0 - 160*l - 39\/2*l**2. What is the first derivative of u(b) wrt b?\nAnswer: -76*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 5, x: 2, g: 3, u: 1, i: 1, h: 3}. Give prob of sequence ihh.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:31 AM and 9:47 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 37*v. Let z(w) = -9*w**2 - 3*w - 1. Let d(r) = -46*r**2 - 24*r - 5. Let f(u) = d(u) - 5*z(u). Determine y(f(x)).\nAnswer: -37*x**2 - 333*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0982989966 to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 36240 a multiple of 395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1875 divided by 375.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2565 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 43.2 * -54\nAnswer: -2332.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that t**3 + 69*t**2 - 100*t - 2100 = 0.\nAnswer: -70, -5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19846061.\nAnswer: 19846061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*f**6 + 38*f**5 + f**2 - 160*f wrt f?\nAnswer: 360*f**3 + 2280*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -122*h - 6*h**2 + 2 + 126*h - 3 as p*h**2 + y + j*h and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 25481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lii when three letters picked without replacement from {f: 2, i: 2, l: 4, g: 3}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5054*z**3 - 3768*z**2 wrt z.\nAnswer: 30324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/((6\/((-30)\/(-5)))\/(-1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 48*o + 14*o - 4 - 15*o as d + i*o and give i.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -2*v + 3*u - 12, 0 = -3*u + 6. Suppose 6 = 3*l - 5*r, -l + v = r - 6*r. Let f(g) = 5*g - 2. Give f(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) -15  (b) -0.065  (c) -562  (d) 11  (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 + 44*m**2 + 6155*m + 197678. Calculate v(-34).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.956, 0.17, 0.06?\nAnswer: -0.956","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*n**6 - 195*n**5 + 3*n**2 - 222*n.\nAnswer: 360*n**3 - 11700*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*l**2 + 163 - 344 - 10*l**2 - 2*l as j*l + o*l**2 + r and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -240 (base 9) to base 3\nAnswer: -21100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 346*k - 17. Let r(o) = 1038*o - 47. Determine -11*i(n) + 4*r(n).\nAnswer: 346*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20, 42, 64, 86, 108, 130?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-5) + ((-308)\/40 + 8)*18. Let x(b) = -b - 3. Let k be x(-3). Suppose a*p = -k*p + 75. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -57.39224 rounded to one decimal place?\nAnswer: -57.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 36.68 and 1701043?\nAnswer: 1701006.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y\/(y\/((y*y*y**5)\/y))*y**(-2)\/y*y*y\/((((y**(-2\/15)\/y)\/y)\/y)\/y)*y*y**7)\/(((y*y**(-2)*y)\/y**(3\/8))\/(y*y**(1\/3))**(2\/5)) assuming y is positive.\nAnswer: y**(457\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sum 38088 and 1.324.\nAnswer: 38089.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 85 + -77. Suppose 0 = 12*k - q*k - 8. What is the remainder when 73 is divided by ((-75)\/(-10) + k)*2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8060 - -8310. Solve g*a = 242*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 961 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-3\/5)\/((n*((n*n*n\/n**2)\/n)\/n)\/n))\/(n\/n**1)**(-8\/7)*(n**(2\/3)*n*n)**(-32\/7)\/(n*n\/((n*n*n**(2\/3))\/n))**(1\/4) assuming n is positive.\nAnswer: n**(-4987\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 4*y**3 + 5*y**2 - 5. Suppose 70 + 0 = -14*d. Let g(m) = m**3 + m**2. Calculate d*g(o) + v(o).\nAnswer: -o**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -2*n**3 - 6*n + 2. Let x(w) = -1 + 7*w**3 - 1 - 4*w**3 + 5*w. Let s be (-20)\/(-6)*(-6 - (-351)\/45). Give s*x(t) + 5*b(t).\nAnswer: 8*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 30524 + -30524.0000015939. Round x to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132)\/sqrt(4)*-5)\/(-5*sqrt(11)*-2) - (-5*(sqrt(147) + -2)*6)**2.\nAnswer: -135900 + 50399*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 134 and -26.\nAnswer: -3484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from muuuyueyuueyyuuu. Give prob of sequence yuye.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**2 + 9*t + 16. Let u be g(-7). Let p(b) = 2*b**2 - 4. Let a be p(u). Solve 4*x - a*q - 4 = 0, 6*q = x + 2*q - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**3 + 11*o**2 - 12*o + 132. Let n be l(11). Which is greater: 31\/28 or n?\nAnswer: 31\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 24*n**2 - 21*n + 21. Let l be o(-5). What is the remainder when ((-100)\/6)\/(3\/(-9)) is divided by l\/(-102) + 7 + (-1776)\/(-68)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3984 divided by 50?\nAnswer: -1992\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*t**3 + 12*t**3 + 0*t**2 + t**2 + (26 - 5*t**3 - 26)*(-1 - 3 - 16) as o*t**3 + q*t**2 + f*t + m and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes after 2:39 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1707 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -2*y + 1467, 2*z - 985 = -0*y + y. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 137072.88 minutes?\nAnswer: 13.5985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 19920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -173\/65150988 and 81\/9904?\nAnswer: 260603952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 5 + -2 + (-42 - 6). Round k to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-282)\/(-47) + (-122)\/(-2). What is the smallest common multiple of 32 and (n - 77)*14\/(-10)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -4805*k**2 - 14 + 4804*k**2 + 2 + 9*k. Let d be c(5). Suppose 147 = -7*i + d*i. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 2630814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4128 and 21930.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 1316 divide 34853356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38038*c**3 + 11 - 11 + 7971*c**3.\nAnswer: -30067*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as -15\/229507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 197 is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2345450 a multiple of 610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o + 3*o - 20. What is the remainder when 5 - (-5 - 1) - (1 + 3) is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/(-8)*40\/(-12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 15447872 and 47168?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1140672 and 65088.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and 0.27.\nAnswer: 1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -12*(-2)\/4 - -3. Suppose -5*p - 20 = 0, 4 + b = y - 2*p. Solve 3*f - 10 = -y*l, 4*f = -0*l + 3*l - 35 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**2 - 162*u + 692. What is a(157)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 52 = 4*v + 3*a, -v + 3*a - 2 = 0. Let m = v - 8. List the prime factors of (-56)\/(-6)*3\/m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**3 + 3*q**2 - 2*q. Let z be y(2). Let i be (-5)\/1 + -11*(-2 - 0). Solve -b - m = -4*m - i, -5*b - m + 5 = z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 325886 is divided by 1545?\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -4470366 divided by -1490122?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 220 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/18 - (-9)\/(-18)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + 2 + 1 + (-2 - -2). Suppose 3*o + 24 = t + 8*o, 2*t + i*o = 24. Suppose 0*p - 66 = -2*p. Calculate the remainder when p is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (-2*sqrt(1053)*-4)**2)*6.\nAnswer: 404376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8.7129 + -8.73. Let o = 0.4171 + q. Is -2\/3 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -29625*k**3 - 195159*k.\nAnswer: -177750*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 1809 divide 77190465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from krfqbqfik.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*s + s + 4*s + (-3*s - 3*s + 5*s)*(0 - 1 + 2) + 2*s - 2*s + 2*s)*(14*s**2 - 2*s**2 - 6*s**2)*(-5 + 6 + 4).\nAnswer: 300*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-44)\/(-1 - 1)*(0 - -1). List the prime factors of ((-384)\/66 - -6) + 2328\/a.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**3 - b**2 + b - 1. Let o(t) = 2*t**3 - t**2 + 1. Suppose 4*g = 9*g - 5. Let z be o(g). Give v(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 828 and 576081.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -121786 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -99796, -401557, -904492, -1608601?\n\"Answer: -100587*f**2 + 791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 562\/3  (b) 2  (c) 3  (d) 0.5  (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + -2. Let m be 8\/1*-5*10\/(-20). Let h be (-4)\/6*(m\/(-15) + 2). What is the nearest to -0.1 in 3\/4, q, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -38.23 - -256.23. Is i at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 21 + -16. Suppose -2*i = -7*i - 3*u - 22, 26 = -3*i - c*u. Let y(b) = 2*b**3 + 4*b**2 + 4*b + 2. Determine y(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 5058 and 5054 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 3438 divide 941916573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the third derivative of t**6\/120 - t**5\/12 + t**4\/12 + 2*t**3\/3 - 3*t**2. Suppose -1 = -r + 2*r, 7 = b - 3*r. What is m(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dhdd. What is prob of sequence dd?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -641*g - 6821 - 1760 = 12572 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 954574 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 142014849.\nAnswer: 3, 2213, 21391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 756875?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 18585 + -9458. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19305113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(2 + sqrt(11)*-2 - (sqrt(11) + (sqrt(539) + (sqrt(539) + 2 - sqrt(539) - sqrt(539)) - sqrt(11))))*-5.\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 260\/99 + -24\/11. Which is the closest to -1\/3?  (a) 0.3  (b) t  (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m - 31. Let t be k(33). Is 49 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 70 and 575.\nAnswer: 8050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -88 - -59. Let y = m + 40. Suppose -12*x = -y*x - 23. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25916?\nAnswer: 2, 11, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 36*h - 46*h + 9340. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 201 and 65459.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 55730\/81 - 688. Do h and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m**3 + 4*m**2 - 3*m - 2. Let x be y(4). Let t be ((-12)\/x)\/((-1)\/(-42)). Calculate the highest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (16 - 15) - (-1 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*m + 725 = -102*m + 13*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the second derivative of x**5\/10 + x**4\/3 + 2*x**3\/3 - 2*x**2 + 14*x - 5. Let g(b) = b**3 + b**2 + b - 1. What is c(a) - 4*g(a)?\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -0.0552, 2\/13, -0.05 in descending order.\nAnswer: 2\/13, 0, -0.05, -0.0552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -34*q + 35. Let v be -10 - 13\/(65\/(-40)). What is the remainder when 400 is divided by w(v)?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5\/3, -2\/25, 2 in decreasing order.\nAnswer: 2, -2\/25, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 - -5. Let m(q) = -2*q**3 - 4*q - 3. Let z = -97 + 137. Calculate the remainder when z is divided by m(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the first derivative of 73*f**3\/3 - f + 150. Let h(b) = 4*b. Determine h(t(u)).\nAnswer: 292*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.01 + -0.41. Let r = 10.89 - -32.81. Let x = 44 - r. Put -5, -14, w, x in descending order.\nAnswer: x, w, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -5 - (-2)\/((-4)\/(-70)). What is the greatest common factor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 + 17*i**2 - 11*i - 37. What is the lowest common multiple of 32 and q(13)?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -10*a**2 + 1477*a - 14614. Determine f(10).\nAnswer: -844","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1054733?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 72 + -89. Let l = g - -33. Suppose -l*p = -15*p - 18. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes before 7:19 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 181728 and 13404.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 2*n**2 - 5*n + 132. Let q be f(26). Is 35 a factor of (q\/(-4))\/(-1 - 8\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34844 times -0.5749?\nAnswer: -20031.8156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (169\/(-26) + 8)\/((-275)\/90 - -3).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Is 41307 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8113 or 1801?\nAnswer: 1801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-10))\/(((-26)\/325)\/2)*(-58)\/(-145)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 0, 121*b - 118*b = -2*m + 338. Calculate the remainder when m is divided by 33.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -747*f**2 + 2*f. Let n(l) = -2*l. What is w(n(t))?\nAnswer: -2988*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -3*k + p + 52, -4*k + 3*p = -75. Let x = k - 24. Let a = x - -11. Solve 0 = a*u - 4 + 19, 4*c + 14 = 2*u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**3 + w. Let k(n) = 9*n**4 - 4*n**3 + n**2 + 23*n. Let i(u) = -3*k(u) + 12*q(u). Find the second derivative of i(r) wrt r.\nAnswer: -324*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 63\/1804 and 99\/41656.\nAnswer: 458216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in eleven halves of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*a = 10*a + 4*a - 8280. Solve -96 = 44*w - a for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 721292 and 8410?\nAnswer: 712882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0806022 minus -93340944?\nAnswer: 93340944.0806022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.53 + 0.5. Sort -0.5, 5, -5, m in descending order.\nAnswer: 5, m, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -107, -188, -343, -590, -947, -1432, -2063, -2858?\n\"Answer: -3*q**3 - 19*q**2 - 3*q - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fg when two letters picked without replacement from gyfgffffff?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 24436 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -f + 4*k, 4*k - 6*k - 31 = -3*f. Solve -c = -f*c + 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43599870 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**2 - 5*j. Let t be k(5). Suppose t = -4*v + 23 + 41. Let z = v + -8. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 25*o**2 - 330*o - 22. Calculate r(10).\nAnswer: -822","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*(x*((x\/x**(-2\/9))\/x)\/x*x)\/x)**(-9)\/((x*x*x**(3\/2))\/(x*x**(2\/23))) assuming x is positive.\nAnswer: x**(-617\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1626  (b) 6  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the second derivative of -214*x**6\/15 - 2067*x**2\/2 + 90*x - 2. What is the derivative of n(a) wrt a?\nAnswer: -1712*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00012071 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.1 - -0.9. Let o = -35 - -55. Let z = 21 - o. Is d < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74*x - x**2 - 32*x - 99*x + 10.\nAnswer: -x**2 - 57*x + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62 + 10 = -4*p. Let g(j) = 4*j**2 - 87*j - 6. Let i be g(22). Let v(l) = i - 2*l - p + 0*l. What is v(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 2*z, 3*z - 2*z = 3*w - 6. Let v be ((-36)\/w)\/6*1\/(-1). Is 294 + v\/1 + -1 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 126*r = 132*r - 984. What are the prime factors of r?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:12 AM and 5:34 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**3\/2 + 23*d**2\/2 - 25*d - 100.\nAnswer: -(d - 20)*(d - 5)*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 7*r**3 + 7*r + 4. Let i(b) = -6*b**3 - 7*b - 5. Calculate 4*i(h) + 5*o(h).\nAnswer: 11*h**3 + 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -48*w - 33. Let q be k(-5). Suppose 2*c - q = p, 9*p = 5*c + 10*p - 528. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 112133 (base 4) to base 7\nAnswer: 4124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 74614*d**4\/5 + 74616*d**3\/5 + 2*d**2\/5.\nAnswer: 2*d**2*(d + 1)*(37307*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 21\/8 of a tonne?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-49*p + 20*p**3 + 49*p)*(1 - 1 + p)*(6 + 3 - 11) in the form x*p**4 + t*p**2 + c*p + z*p**3 + d and give x.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(99) + 3).\nAnswer: -18*sqrt(11) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2570381 (base 10) to base 5.\nAnswer: -1124223011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 813391 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-7)*x**(-4\/9))\/(x\/(((x**2\/x)\/x)\/x)*x*x*x**1\/x))\/((x\/(x*x\/(x**(3\/11)\/x*x))*x)\/(x**(2\/27)*x))**(-33) assuming x is positive.\nAnswer: x**(-341\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 1 - (-10 - (3 + -4)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/400960 and 127\/41888?\nAnswer: 74979520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of (-2 - 42\/(-4))*8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v**4\/5 - 1996*v**3\/5 + 299792*v**2\/5 - 6156288*v\/5 - 51674112 = 0.\nAnswer: -623, -20, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/19, -0.7, -1.39 in increasing order.\nAnswer: -1.39, -0.7, 1\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.171 + -3.229. Let o = -27.2 + w. What is o rounded to zero dps?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*g**2 - 32*g**2 + 87*g**2 - 1.\nAnswer: 76*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -2*d**2 + 22*d + 34. Let x be u(12). Solve -x*q = -9*q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3358, 6711, 10064, 13417, 16770, 20123?\n\"Answer: 3353*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(304)*5*2)**2 - ((sqrt(2299) + 2 + 5)**2 - sqrt(2299)).\nAnswer: -143*sqrt(19) + 28052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4067 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 4*h**2 - 3*h**2 + 0*h**2 + 2*h - 2*h**2 + 3. Let s be y(3). Sort s, -3, -11 in descending order.\nAnswer: s, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -12*f**3*x + 2*f**3*z - 2*f**2*x + f*x + 4*f*z**2 - 9*x*z**2 wrt z?\nAnswer: 2*f**3 + 8*f*z - 18*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 - 8) + -12 + 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 88*l**2 - 17*l - 1. Let x(a) = -157*a + 1. Determine h(x(m)).\nAnswer: 2169112*m**2 - 24963*m + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (69\/15 - 5)\/((-1)\/5). Let g(r) = -5*r + l*r - 2*r + 9*r - 49. What is the remainder when 11 is divided by g(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2693 divided by 4.\nAnswer: 2693\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 2*w**3 + 7 + 5 - 9 - w**2 + 4*w + 3*w**3 in the form a*w**3 + s*w + g*w**2 + v and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 8*p**3 - 7*p**2 - 4*p - 2. Let x(w) = -9*w**3 + 8*w**2 + 4*w + 2. Let j(r) = -4*n(r) - 3*x(r). Is j(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28\/(-7)*(-2)\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7.061 + -6.061. What is the closest to -0.2 in 0.5, s, -6.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 - 23*p**2 + 41*p - 1. Determine u(21).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 636 is divided by 151?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Sort 1.574, 3\/4, 4\/3.\nAnswer: 3\/4, 4\/3, 1.574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 27 + -1?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 59.56058um to millimeters.\nAnswer: 0.05956058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 2\/35  (b) 35  (c) -1\/3  (d) -2  (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -659*x - 927. Is j(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w + 5. Suppose 0*i - 4 = 4*i. Let u(m) = -1. Let o(b) = i*t(b) - 5*u(b). Let n(a) = 3*a**2. Determine n(o(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = 4*p + 3*w + 3, -3*w = 5*p. Suppose p*o - 12 = -0. Let i be (o + 0\/(-1))\/(-2). What is i rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -5*g - 124. Give f(36).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = 318 + 210. Suppose 3*x + 2*k = 283, 5*k + l = -2*x + 4*x. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 291\/180 - (-4)\/16. Let v = -8\/15 + a. Suppose 9 = 11*j - 2. Which is smaller: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1748041*j**2*l**4 + j**2*l**2 + j**2 - 49*j*l + 457*j - 35*l**5 - 41 wrt l.\nAnswer: 41952984*j**2*l - 2100*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:19 AM and 5:24 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 plus -40.1911?\nAnswer: -51.1911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -305626820*f**2 - 41459*f + 83 wrt f?\nAnswer: -611253640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 5:41 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 11 + 13. Suppose -122 = -3*q - 2*f, f - c*f = 2*q - 85. Let n = -84 + q. Round n to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y**5\/3 - 2*y**4\/3 + 32*y**3 - 160*y**2\/3 - 256*y\/3 = 0. What is y?\nAnswer: -8, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one twentieth of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 2\/3, 0.2, 4\/7, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the second derivative of -x**7\/280 - x**4\/4 + 2*x. Let v(m) be the third derivative of r(m). Let i(n) = 2*n**2. Calculate v(i(c)).\nAnswer: -36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 4*j - j = 129, -170 = -4*z - 2*j. Let q = -15 + 26. Calculate the remainder when z is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -35 + 40. Suppose 0 = 4*s - 12, -z + 5*s + 5 + c = 0. What is the remainder when 112 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is c74d7 + -66f?\nAnswer: c6e68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -17\/16551161?\nAnswer: -17\/16551161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.74282648 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 140002889*c**2 - 280005369*c**2 + 140002477*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.69593 - -37.16307. Round v to 0 dps.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -99 times 10\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*q = 3*q - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -4, -0.049, -23, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/(-21)*(-21)\/(-14). Suppose 0 = 4*h + 5*x - 29, -x = -4*h - 0*x - 1. Let d = -0.11 - -0.01. Which is the smallest value?  (a) j  (b) d  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 113 + -113.0355. Round q to 3 decimal places.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-h**2 + 0*h**2 - 2*h**2)*(-316 - 613*h**2 + 1220*h**2 - 605*h**2) to the form y*h**4 + o + c*h + n*h**3 + l*h**2 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 78*h + 14. Let f(x) = -34*x - 6. Let t(n) = -3*c(n) - 7*f(n). Let i(z) = 4044*z**2. What is t(i(j))?\nAnswer: 16176*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -17 - -509\/30. Calculate the common denominator of f and (10\/840)\/(120\/20860).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 208*r - 6611. Calculate u(32).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, -20, 5, -4, -96 in descending order.\nAnswer: 5, 0, -4, -5, -20, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.9, -0.2, 1, -11, -5, -0.03.\nAnswer: -11, -5, -0.2, -0.03, 0.9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express ((3*t + 3*t + 3*t)*(5 + 3 - 4) - t - 3*t + 5*t)*(-3 - 2*t + 4*t + 0*t) in the form j*t**2 + c + r*t and give j.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t**2 + 0*t**2 + t**2)*(-2 + 2 - 2*t**2) - 271*t**3 + 271*t**3 + 15*t**4.\nAnswer: 11*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**3 + 30*f**2 - 24*f - 61. Let c be r(29). Let u = c + -72. Is u equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**3 + m**2 + m - 9. Let g(n) be the first derivative of -3*n**4\/2 - 5*n**3\/3 - 3*n**2 + 45*n - 1. Let l(o) = 11*c(o) + 2*g(o). Calculate l(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 5790*a**2 - 6*a - 7. Is u(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18353292 divided by -2?\nAnswer: -9176646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -7*m**2. Let h(p) = 2*p**2 + 160132. What is h(w(f))?\nAnswer: 98*f**4 + 160132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 225 a factor of 158086350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 8.869931 millilitres?\nAnswer: 0.008869931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 112*l = 126 + 414 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -5*z - 2. Let i(m) = 10*m + 3. Let v(o) = o. Let s(k) = i(k) - 4*v(k). What is 5*l(w) + 4*s(w)?\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 28, 68, 180, 400, 764, 1308?\n\"Answer: 6*m**3 - 2*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2143 - 65c?\nAnswer: -27a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-45)\/33)\/((-24525)\/(-149875)).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -367499, 0.3, -2\/23, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -618597 + 0.5.\nAnswer: -618596.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 269 - 191. Let r(w) = 2*w**2 + w - 3. Let q be r(-2). Suppose -2*o + 2*d - h = -6*o, 0 = o + q*d - 32. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 1441611465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -238\/9?  (a) -2  (b) -21  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 717757754 to the nearest integer?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*r = -5*r - 20. Suppose -5*g = -g + r*b + 25, -3*b = 4*g + 15. Solve g = 4*m - 7*m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - 0. Let s(p) = p**2 + 6*p + 3. Let b be s(-6). Suppose -b*r + 0*k - 6 = -d*k, 2*k = -6. Is -3 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-15)\/(-9))\/(1\/18).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**3 - 11*l**2 - 1828*l + 16422. Calculate o(9).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the third derivative of 0*z**3 - 8*z**2 + 0 + 0*z**4 + 0*z - 3\/20*z**5 - 11\/210*z**7 + 0*z**6. What is the third derivative of f(p) wrt p?\nAnswer: -264*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11.82 - 20.82. What is the closest to z in -4, 4, -1\/3, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -61*x + 67 + 116. Factor -4*q**2 + 1\/2*q**4 - 6*q + 0 + 5\/2*q**x.\nAnswer: q*(q - 2)*(q + 1)*(q + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -11*b**2 - 4*b - 2. Let d(y) = 9*y**2 + 4*y + 3. What is 7*d(c) + 6*m(c)?\nAnswer: -3*c**2 + 4*c + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6231 and 186?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -4 - 7*x - 10*x**2 + 2*x**2 - 2*x**2. Let t(i) be the first derivative of i**3 + i**2 + i + 11. Determine 4*o(u) + 14*t(u).\nAnswer: 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 664*o**2 - 1471*o**2 - 2225*o + 2438*o**2 + 2225*o.\nAnswer: 1631*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105 = -9*r - 4*n, 138*n - 140*n = -r + 19 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -33\/17 and 109\/52?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 5*s - 4*c, 4*c - 6 = -2*s. Let k(n) = 7*n - 5*n - s - 4. List the prime factors of k(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.3  (b) -1\/5  (c) 3  (d) 1886  (e) -0.11  (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2926)\/627)\/(7\/2)*42?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 25*x**2. Let i(a) = 935198*a**2. Give b(i(p)).\nAnswer: 21864882480100*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is seven fifteenths of a day in minutes?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/10 - (-549)\/(-3660)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 48 - 64 = -5*l, -5*q = 10. What is the remainder when l is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2 + -9 - -1) + (7 - 24\/16). Which is the second biggest value?  (a) -72  (b) 1.7  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1541ad - -1e?\nAnswer: -15418f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -5*o**3 + 2*o**2 - 2*o + 3. Suppose 0 = 6*u + 4*u + 30. Let a = 3 + 2. Let h(n) = 5 - n**3 + 2*n - 5*n - 8*n**3 + 4*n**2. Give a*z(m) + u*h(m).\nAnswer: 2*m**3 - 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (84\/8)\/7*-2. Let u(n) = n**4 - n**2 - 1. Let r(h) = 2*h**4 - 8*h**3 - 21*h**2 + 24. Let g(o) = j*u(o) + r(o). Factor g(w).\nAnswer: -(w - 1)*(w + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5\/(1680\/1287) - 4. Let j = -3\/112 - r. Find s, given that -2\/7*s - j*s**2 + 0 + 1\/7*s**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.107082 - -0.74841861. Let j = h + -0.12133619. Let s = -0.52 + j. Round s to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 5509 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gxgggxgxxxgxxxggxgxg. Give prob of picking 3 x and 1 g.\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g - g + 16. Solve -i - g*n + 8 + 3 = 0, i = n - 9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 - -452423512?\nAnswer: 452423514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 1674 + 6*i**3 - 4*i**3 + 13*i - 10*i - 1788 in the form a*i**3 + x + h*i**2 + w*i and give x.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/3*3\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 7 = -9. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 137c + -6a20?\nAnswer: -5682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3131242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aryyyyrrayyyyyyyrry. What is prob of picking 3 y?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*m + 8*m - 9*m)*(-2 + 2 + 2*m**2 + (3*m - 9 + 9)*(m + 8*m - m)).\nAnswer: -338*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/i**1*i)\/i)**(1\/5)*i*i**(-2\/7)*i\/(i*i**(-1\/2)*i)*i)**15 assuming i is positive.\nAnswer: i**(255\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 299 = 2*k + 57, 0 = 4*k + 4*i - 476. Is k != 120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 2*y - 6. Let w be d(4). Suppose -w*f - 23 = -5*p + 5, -f - 2*p = 32. What is the common denominator of 35\/6 and 1\/(-2)*(-546)\/f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve p = -5*o + 15, 0 = 5*o + 5*p - 1144 + 1109 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -78*m + 79*m + 0 + 0. Determine t(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**3 + 12*b**2 - 18*b - 1. Let p be m(10). Let g(r) = 19*r + 1. Let x be g(2). Let u = x - p. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes before 1:38 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-8)*40\/(-75)*(-4)\/(-4)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 72431, 72424, 72413, 72398?\n\"Answer: -2*a**2 - a + 72434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (105\/350)\/(((-36)\/(-370))\/3). Which is the biggest value?  (a) z  (b) -3\/5  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n - 2. Let h be p(-2). Suppose 0*r + r + 2*o - 11 = 0, h = -3*r - 2*o + 33. What is the smallest common multiple of 4 and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8417218 greater than or equal to 8417215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0.3  (b) 0.013  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 4*k - 35. Let q be s(9). Suppose -6*j + 25 = q. Put -1, -2, -14, j in ascending order.\nAnswer: -14, -2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001752231 to 7 decimal places.\nAnswer: -0.0000175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 43534 (base 7) to base 10.\nAnswer: 10903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*q + 3*q**3 - 4*q - 7*q.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10020320 - -11?\nAnswer: -10020303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 30212221 (base 4) to base 11\nAnswer: 35872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from pbbbf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**3 + 40959212*p**2 + 104853626917600*p + 314560512120000.\nAnswer: 4*(p + 3)*(p + 5119900)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 4\/7, -37, -7\/5, -8, -2, 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 236339, 236336, 236325, 236300, 236255, 236184?\n\"Answer: -w**3 + 2*w**2 - 2*w + 236340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 26*k**3 - 2*k - 1. Give b(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15065 = -42*b + 16577 for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 + 93 = -5*t + 9*i, 2*t + 46 = 4*i - 0 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(8\/3)*p**12)**(-33)*((p*p*p**(-9\/5)\/p*p)\/(p*p**(6\/5)))**(-1\/19) assuming p is positive.\nAnswer: p**(-9194\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4466.8 + -4467. Let p = -124 + 147. What is the third biggest value in 1\/6, 2\/9, p, h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15734776?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -193*h + 139*h + 216 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-208)\/13 + -5 + (-49)\/(-7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 - 3 - 4)*(0 - 3 + 1)*(-836*q - 716*q + 203*q**2 + 1475*q) in the form v*q**2 + t*q + l and give v.\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 8, -60, -1\/3, 2\/3, 29, 4\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (95\/3)\/((37\/777)\/(54\/270)).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 2*n**3 + 4*n**2 + 4*n + 21. Let d(s) = s**3 + 3*s**2 + 3*s + 20. Give -4*d(y) + 3*t(y).\nAnswer: 2*y**3 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g\/(((g*g\/(g*(g\/(g\/g**(-2\/3)))\/g)*g)\/g)\/g)*g)**(-2\/19)*(g*g**6)\/g**1 assuming g is positive.\nAnswer: g**(334\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14\/39 + -5\/26. Let j(o) = 2*o - 6. Let k be j(3). Let z be (6 + k)\/(2\/1). Which is the smallest value?  (a) q  (b) z  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + h - 11 = 9, 0 = 2*h. Suppose 1136 = p*u + 3*w, 4*u - 4*w - w - 1168 = 0. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the first derivative of -5*j**4\/16 + j**3\/3 + 11*j**2\/8 + j\/2 + 9. What is r in s(r) = 0?\nAnswer: -1, -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 71, 139, 207?\n\"Answer: 68*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.30105 - -0.3120592. Let m = 0 + 0.011. Let r = m - s. What is r rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -355*m + 128*m + 5448 = 0. Solve -m = 3*q - 7*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 5981, 5811, 5641, 5471?\n\"Answer: -170*i + 6151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 27 + -23. Suppose 26 = x*k - 34. Let f(a) = a + 6. Is 7 a factor of f(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.16 - -0.09. Let s = v - 0.03. Suppose 3*q - q = 5*c - 23, 9 = c + 4*q. Sort c, -2, s.\nAnswer: -2, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -6*a**2 - 35*a + 12. Let z be r(-6). Let n(m) = m**3 - 4*m**2 - 12*m - 8. Determine n(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.033+-0.10419\nAnswer: -0.07119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-20))**(-14)\/(y**(-1\/5))**(1\/35) assuming y is positive.\nAnswer: y**(49001\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-119)\/7 - -5)*5\/(-4). Suppose -7*t + j*t - 24 = 0. Solve l - 3*b = -t*l - 10, -2*l + 2*b = 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -827ab - 0?\nAnswer: -827ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 3*p**2\/4 + 2673*p\/2 - 16065\/4 = 0.\nAnswer: -1785, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the first derivative of 23*y**4\/4 + 10*y**3\/3 - 3*y - 68. Find the third derivative of j(d) wrt d.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h - 5*h + 5*h)*(2*h**3 + 2*h**2 - 2*h**2) + ((-1 - 2 + 5)*(-1 + 4 - 4) + 0 - 1 + 0)*(2*h**4 - h**4 + 0*h**4).\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -37, 2\/5, -2\/261, 3 in ascending order.\nAnswer: -37, -2\/261, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62655?\nAnswer: 3, 5, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-3)\/w*w**(5\/3))\/((w**(2\/7)*w)\/w**(-6)))\/((w*w**(1\/4))\/(w\/(w\/w**(-4\/9))))**(-21) assuming w is positive.\nAnswer: w**(727\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72 = -17*i + 208 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1316, -2603, -3890, -5177, -6464?\n\"Answer: -1287*l - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**4\/7 + 2027520*w**3\/7 - 456741456462*w**2\/7 + 34291386329992104*w\/7 + 926200435340818089\/7.\nAnswer: -3*(w - 225289)**3*(w + 27)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:18 PM and 9:30 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**3 + 6*b**2 + 270*b - 3209. What is z(10)?\nAnswer: -909","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11748.6 - -13231. What is w rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 336 and 399?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*l + 0*l**2 - 34*l + 2*l**2 - 3*l**2.\nAnswer: -l**2 - 55*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 1002\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 204 (base 6) to base 11.\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1742, 1743, 1744?\n\"Answer: h + 1741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(24)\/sqrt(8) + 0 + 5)*-5 + -6*(1 + 0 + sqrt(12)))**2.\nAnswer: -5484 - 3162*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 + 2220291.\nAnswer: 2220296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/8 and 17\/533?\nAnswer: 4264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 7) in base 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 3*4675\nAnswer: 14025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the third derivative of 13*n**2 + n**3 + 0 + 0*n - 1\/8*n**4. Let u be c(3). What is the second smallest value in u, 4\/9, 1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.1360454 times -0.4\nAnswer: -0.85441816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(225)*1 - sqrt(25)) + sqrt(100) + sqrt(100)*-2)*-2)\/((sqrt(3500)*-1)\/(sqrt(14)\/(sqrt(10)\/sqrt(5)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b - 9. Let p = 3 - 11. Let j be g(p). Which is smaller: -5 or j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y - 3 + 3)*(-y**2 + y**2 + 4*y**2) - 3*y**3 - y**3 + 7*y**3.\nAnswer: 11*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.78 - -127.78. Let o = s - 56. Let z = -69.9999801 + o. Round z to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 5*i, 2*m - 5*i - 10 = 5. Let c be m*(10\/50)\/1. Let t(s) = -s**3 + s**2 + 1. Let z(a) = a**3 + 3 - 4*a**3 + 6*a**2 + 2. Calculate c*z(v) - 5*t(v).\nAnswer: 2*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 6*s**3 - 4*s**2 + 8*s - 1. Let x(y) = -5*y**3 + 5*y**2 - 8*y + 2. Let c(l) = 4*i(l) + 5*x(l). What are the prime factors of c(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*-52233.\nAnswer: -208932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**(1\/4)*k*k*k)\/k*k**(-3))**(-8)\/((k\/k**(-2))\/(((((k*k*k\/(k**(-4)\/k*k))\/k)\/k*k)\/k)\/k))**49 assuming k is positive.\nAnswer: k**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28509.88 years to decades.\nAnswer: 2850.988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((1 - 7)\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1013119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/6 - (-238)\/6. Let z(f) = f**2 - 8*f - 5. Let i be z(7). What is the units digit of (i\/(-10))\/(6\/b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 248, -3 in decreasing order.\nAnswer: 248, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -352 + 5*r + 760 - 206 + 42*r - 203.\nAnswer: 47*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -118 divided by -113\nAnswer: 118\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.016 - 0.04. Let c = 0 - p. Let i = 0.03 - c. Round i to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.05, -1\/8, 2\/3, 3\/5, -134, 1 in ascending order.\nAnswer: -134, -1\/8, -0.05, 3\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1513 = -a + 566*z - 561*z, -5*a + 5*z = -7645. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 460 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 2298*o**2 + 57*o - 23. Is g(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 28101196?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 3*w - 3. Let y be u(-11). Let f = 51 + y. Let v = 44 - f. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2565 and 75?\nAnswer: 12825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*j + 0*j - 10*j - 86*j - 1152*j + 6347 - 6347 + (-j + 0*j + 3*j)*(0 + 2 + 0) + 1 + j - 1.\nAnswer: -1234*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -543*r + 1575. Let x(q) = -2*q - 37. Let z(f) = i(f) + 5*x(f). Differentiate z(u) with respect to u.\nAnswer: -553","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 415335992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/50398 and -119\/1130.\nAnswer: 251990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the second derivative of -y**6\/60 + y**4\/24 + 17*y. Factor z(n).\nAnswer: -n**2*(n - 1)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12 + 10. What is the least common multiple of c and (-774)\/(-63) - 4\/14?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j. Let m(a) = 1770*a**2. Give m(s(w)).\nAnswer: 1770*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1733, -3446, -5153, -6854, -8549, -10238?\n\"Answer: 3*l**2 - 1722*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0 - 2*2\/(-20). Let k = 0.443 - 0.023. Let u = k + -0.32. What is the smallest value in -0.1, u, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k + 0*k + 4*k)*(-2*k**2 - 2*k**4 + 2*k**2) - 2*k**5 + k - k.\nAnswer: -14*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 72905.\nAnswer: 5, 7, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 42*o**2 - 249*o + 954. What is the tens digit of i(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 15*h = 2*h + 240 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*t**4\/9 + 478*t**3\/9 - 1760*t**2\/3 - 6232*t\/9 + 11968\/9 = 0. What is t?\nAnswer: -22, -2, 17\/16, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 - 18 + 9)*(1 - 4*o**2 - 1) + (o - 2*o**2 - o)*(-4 + 1 - 1).\nAnswer: 76*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23862157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3577016 divided by 4.\nAnswer: 894254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**3 - 7*f**2 - 7*f + 3. Let u(i) = -2*i + 10. Let s be u(9). Is d(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(220)\/sqrt(4))\/sqrt(11) + 5.\nAnswer: sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18418?\nAnswer: 2, 9209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1279 + 439 = -3*y. Suppose -8*p = -10*p + y. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -7*h**2 - 2*h + 1021. Let j(l) = 17*l**2 + 5*l - 2048. What is -2*j(o) - 5*m(o)?\nAnswer: o**2 - 1009","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 760 divided by 76?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 54 - 41. Suppose h - 75 + j = 0. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 + 1.9. Let y = 0.3 + c. Let b(u) = u - 3. Let w be b(1). Which is smaller: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17922?\nAnswer: 2, 3, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 70378469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 12\/11  (b) 0.1  (c) 4  (d) 147  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 6, h: 1, o: 2, t: 2, a: 5}. What is prob of picking 2 w and 1 h?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/82?  (a) 2\/7  (b) -0.28  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the second derivative of -3*t**5\/20 - 5*t**4\/2 + 275*t**3\/6 - 78*t. Find the second derivative of q(w) wrt w.\nAnswer: -18*w - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 34 and 1972.\nAnswer: 1972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 + 8. Suppose 2 = -5*c + 12. Suppose c = -r + 5*b - 1, -r + 3 = b. Solve -n + 2 = -o - 6, -r*o + 5 = y*n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/112)\/(1\/(-2))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 33154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2 + (-2 + -76)\/((-4)\/6). Let o = r - 97. What is the least common multiple of o and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1304*x - 1107*x + 351*x + 3142*x)*(-3*x + 29 - 34 + 2*x).\nAnswer: -3690*x**2 - 18450*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 263935 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -4, 6, 0.4, -0.3809, 4\/5 in increasing order.\nAnswer: -4, -0.4, -0.3809, 0.4, 4\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/(-3) + 15 + -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2 * 3916\nAnswer: 7832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*z + 7*z - 291. Let k = 113 + z. Solve -18*v = -14*v + k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/148 and -35\/666.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -41481, -37003, -29549, -19125, -5737?\nAnswer: 10609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*l - 3 = 34*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 3*n + 9 = -2*i, i + 15 = -5*n. Suppose y + 1 = -i*y. What are the prime factors of y - (-2)\/(6\/33)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -64 - -55 - (1 + -17).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f - 2. Let i(m) = -4*m - 2 - 10613*m**2 + 10613*m**2 - 4*m**3 - 1. Let l be i(-1). What is z(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**6*v)\/(v\/(v\/(v\/((v**4*v*v)\/v))))*(v*v*v**1\/v)**(30\/11)*((v*v**(2\/9))**(6\/13))**(9\/8) assuming v is positive.\nAnswer: v**(9775\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/3*(-1104)\/(-87584).\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - 1a39e2c?\nAnswer: -1a39e2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s**3 + 2*s**3 - 5*s**3)*(0*s - s + 7*s) + 4*s - 8*s**4 - 4*s.\nAnswer: -20*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*n = -20*n + 15. What is the units digit of n\/(25\/(-40) + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**2 + 7*p - 1. Let d(z) = 30*z**3 - 6*z**3 - 2 - 8*z**3 + z - 15*z**3 + 5*z**2. Let f be d(-5). What is g(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 31*q - 32 wrt q.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 2*h**3 - 6*h**2 - 30*h + 77. Give l(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 3*x = -6*x - 108, -x + 69 = 2*v. What is the highest common divisor of 15 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-7))\/((-22240)\/420 - -53).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -29925\/206 at least -146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/(-3*(-336)\/(-8))*7*18\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 75 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -98668066, -98668067, -98668068, -98668069, -98668070?\n\"Answer: -f - 98668065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 717725*v**2. Let a(r) = -r. Give d(a(s)).\nAnswer: 717725*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -19\/2 + 37\/4. Let v = -107 + 533\/5. Let u be (-1701)\/4536 - (-1)\/4. Which is the second biggest value?  (a) 5  (b) v  (c) u  (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 52876 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3947463?\nAnswer: 3, 13, 33739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 2*g + 2*l = -10, 2*g = 4*l + 20. Suppose 25 = 3*k + 3*s - 35, g = -4*k + s + 90. What is the greatest common factor of 22 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 129 - 113. Find the first derivative of -9*n + 14 + 11 + h + 25*n wrt n.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.7 + 5.7. Let w = -0.1036 - -0.0744. Let l = w - 0.0708. Put 3, 0.2, l, h in ascending order.\nAnswer: l, 0.2, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -20*u**2 + 21*u**2 - 18*u - 36*u + 54*u. Let c(w) = 9199*w. Determine k(c(z)).\nAnswer: 84621601*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i and 1 c when three letters picked without replacement from iicifffiif?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bcbvbcbcuubbu. What is prob of picking 1 v and 1 u?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 8:17 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1198.18 + 1213. Let t = x - 0.82. Which is the nearest to 0.1?  (a) t  (b) 1  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-102)\/12*(-3 - -1). Suppose 23 = g - a. Suppose -g = 8*p - 10*p. Solve -4*x = -0*x - p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -11\/9  (b) 0.01  (c) -0.5  (d) -8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 + -2 - 4\/4. Let q be 2\/(-2) + (0 - z). Solve q = -4*x - 11 - 9 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 3431*v - 41140. Let l(o) = 14*o**2 - 4*o - 1. What is the remainder when l(4) is divided by p(12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes after 10:55 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 26220 and 1615.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add together -20.213 and 0.1.\nAnswer: -20.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 183036932, 183036930, 183036928, 183036926, 183036924, 183036922?\nAnswer: 183036920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8, -33, -104, -245, -480?\nAnswer: -833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-54)\/(-30))\/(-108*(-12)\/(-49680))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -3*i**2 - 4*i - 3. Let v be u(-3). Let a be ((-6)\/(-5))\/(v\/(-60)). Find the third derivative of -2*t**2 + 2*t**a - 3*t**4 + 0*t**4 wrt t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 0 + 0 + 2*u + 3*u + u. Let o(n) = -19*n + 4. Let j(h) = -19*h + 5. Let w(m) = -4*j(m) + 5*o(m). What is f(w(c))?\nAnswer: -114*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 2*y**3 + 112*y**2 + 1320*y - 7200 = 0.\nAnswer: -30, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 431854 is divided by 33025?\nAnswer: 2529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2\/(4\/27)*22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -22 - -21. Let w be (r\/(-3))\/((-1)\/(-3)). Is (w\/(-3))\/((-4)\/2556) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the third derivative of -n**4\/12 + n**3\/3 - 6*n**2. Let u be i(-2). Let r be (u\/(-4))\/((-9)\/120). What is the highest common factor of r and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -317121, -1268691, -2854707, -5075169?\n\"Answer: -317223*p**2 + 99*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 31153031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.2512 * -4\nAnswer: 1.0048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = -5*q - 35, 2*q + 8 = -2*q. Let x(f) = f**2 + 7*f + 3. Give x(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -444.5 - -445. Let s be 2 - ((-12)\/(-2) + (-242)\/55). Which is the nearest to -2\/7?  (a) s  (b) -0.3  (c) 4  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 14906776 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 2)*(i**4 - 4*i**4 + i**4) - 2*i**4 + i**4 + i**2 - i**4 + 30*i**2 - 30*i**2 + 5*i**4.\nAnswer: -i**4 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q - 39. Give i(20).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -7*y**3 + 3*y**2 + 12*y - 5. Let w(z) = -20*z**3 + 8*z**2 + 36*z - 14. Let b be (-10 - -20)*(-1)\/(-2). Let j(f) = b*w(f) - 14*q(f). Factor j(h).\nAnswer: -2*h*(h - 2)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14\/(-70) - 16233\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -76800089*j**3 + 63531430*j + 1 wrt j?\nAnswer: -460800534*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 5*u + 340, -z = -96*u + 101*u - 140. Calculate the greatest common divisor of 2540 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 1 + 3. Suppose p = -4*n - 3. Let l be (3\/(3\/(-11)))\/n. Solve -2*w + 18 = -2*s, 0 = -4*s + w - 2*w - l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q and 1 v when four letters picked without replacement from {q: 8, v: 3, i: 5}.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l. Let f(b) = 2*b**2 - 12*b + 10. Let q be f(5). Let n(i) be the third derivative of 0*i**4 - 5*i**2 + 0*i**3 + q - 1\/30*i**5 + 0*i. Give a(n(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z = -2*t - 6, 2*z = 5*t + 3*z + 26 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -2965103.06 to the nearest 100000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**1)**(-5\/11)*u**(2\/7)\/u*u**7)\/(u**(-1\/3)\/(u**(-5\/2)*u*u)*(u**(1\/2)*u)\/(u**4\/u)) assuming u is positive.\nAnswer: u**(1550\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2 - 10*h + 9.\nAnswer: (h - 9)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/((t*t**(-8))\/t))**(-21\/4)*t**19\/(t\/(((t*t\/t**(11\/2)*t)\/t)\/t)) assuming t is positive.\nAnswer: t**(-135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 619495.3 kilograms in micrograms?\nAnswer: 619495300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0717 + 26.3?\nAnswer: 26.2283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 8, -203, 3 in descending order.\nAnswer: 8, 3, -5, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f - d = -6, 4*f + 24 - 10 = 5*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -440, -364, -212, 22, 344, 760, 1276, 1898?\n\"Answer: x**3 + 32*x**2 - 27*x - 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Do 1\/84429171 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 2*j - 1. Let q(z) = 73*z + 2. Let a(u) = -q(u) - 2*t(u). Let w(r) = -3*r**2. What is a(w(l))?\nAnswer: 231*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the third derivative of a**6\/40 + 1459*a**5\/60 - 811*a**3\/2 + 158*a**2 + 3*a - 3. Differentiate p(o) with respect to o.\nAnswer: 9*o**2 + 2918*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*t + 1095 = 6*t. Let f = t - 73. Suppose f = -2*i + 64 + 146. Calculate the greatest common divisor of i and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-378)\/(-10248))\/((-21)\/14)*(-28)\/(-21)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -23244 - -23399. Calculate the remainder when 476 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 131\/110 and 425\/204*66\/15?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 6 = 4*s. Let n(v) = -v**3 + 4*v**2 - 2*v - 8. Let z be n(5). Let r = z - -38. Is s less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 230*p**3 - 10*p + 4. What are the prime factors of v(2)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11953?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29500 is divided by 14358?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 + -2. Let z = -6 - -4. Let a = z - -1. Sort u, a, 2.\nAnswer: u, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -5*k, i + 2*i = -k - 13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + r - 16 = 0, -3*b - 2*r = -5*b. Let d(a) = a**2 + 2*a. Give d(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*3*1*sqrt(468))**2.\nAnswer: 67392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2608 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 113831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 391, 390, 389, 388?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 16 - 10 + 23 + a. Let k be q(-26). Factor -21*g**2 - 5*g**4 + 362*g**k - 332*g**3 - 3*g**2 - g**2.\nAnswer: -5*g**2*(g - 5)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -4*g, 4*l + 4*g + 46 = 54 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the first derivative of 1\/4*s**4 - 9 + s + 2*s**3 + 3*s**2. Determine r(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a - 3*a + 4*a)*(-3427*a - 12837006 + 12837006).\nAnswer: -10281*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -1628*h + 1653*h + 9957838 + 9375912. Round h to the nearest 10000.\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1559914?\nAnswer: 2, 773, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -30177 - -30184. Let i(f) = -5*f**2 + 27*f + 5. Determine i(a).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 926 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 + 4.6. Let z = -0.6 + k. Let q = -0.6 - -1. Sort q, 2\/7, z in decreasing order.\nAnswer: q, 2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fflnllnlf. Give prob of sequence flf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1797 divided by 3824?\nAnswer: -1797\/3824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/30 and ((-5)\/(-6) + -1)\/((-561)\/3315)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -34 - (-42 - -8) - (1 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of -21 and 0.0928.\nAnswer: -20.9072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -1. Let j(d) = -d - 13. Let x(g) = -j(g) - 5*q(g). Let p be x(-3). Solve -h = 4*r - 0*h - 12, -2*h - p = -5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -727 + 756. Calculate the highest common divisor of 11513 and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a hour in minutes?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 100*a + 498. Determine g(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -1302928.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1904*f - 190019 + 6768 = -1729*f + 2406*f for f.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*(-2 + 2\/6)*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 93\/56 and 83\/203174848?\nAnswer: 1422223936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1\/24 - -17\/24. Put b, -2\/5, 0.1 in descending order.\nAnswer: b, 0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 881 - 226. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 2788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 53, 324, 1061, 2498, 4869, 8408, 13349, 19926?\nAnswer: 28373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 2*c + 22. Let s be i(-10). Let z be (-1 - (s + -1))\/(0 + 5). Which is smaller: z or 0.22?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19036502053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y**2 + 5*y - 5*y)*(-6*y**2 - 2 + 2).\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2\/5, 2\/9, -1 in ascending order.\nAnswer: -1, 0, 2\/9, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 38412800731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2146 is divided by 1726?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -2*y**5 - 7518*y**4 - 2865372*y**3 - 280271972*y**2 + 1759809630*y - 2679006654 = 0.\nAnswer: -3343, -211, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -43*c + 42*c. Suppose 4*q - 58 + 10 = 3*n, c = -q - 5*n + 35. What is the smallest common multiple of q and 21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 444*o**2 - 3*o + 2. Let m be l(-1). Let b = m + -447. Solve -11\/3*q + 121\/6 + 1\/6*q**b = 0 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 4 = 0, 26*l + 6*g = 49*l - 18*l + 117 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((sqrt(44)\/sqrt(4)*1 + sqrt(44)\/sqrt(4)*-5)**2 - (1*sqrt(6655))\/(6*sqrt(20))).\nAnswer: -11*sqrt(11)\/12 + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -34*y**2 + 0*y**3 - 2*y**3 + 24*y**2 in the form z*y + s + o*y**3 + c*y**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-17 - (10 - (13 + -4))) + 2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4818*q + 1 - 5164*q + 9655*q.\nAnswer: -327*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 16.9077494\nAnswer: 1.69077494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 540 - 495.4. What is h rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the first derivative of m**3\/18 + m**2\/3 - 70*m\/3 - 2244. Find w, given that s(w) = 0.\nAnswer: -14, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -107 + 107.5. Which is the second smallest value?  (a) -2\/13  (b) k  (c) -8  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/23724 and 47\/94896.\nAnswer: 94896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - (4 + 4 + -4)) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*j\/(j*j\/j**12*j)))\/j**(-11))**(-5\/13)\/((j*(j**3*j)\/j*j**(-2))\/(j**(2\/9)\/(j**(-1\/7)\/j))) assuming j is positive.\nAnswer: j**(-835\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -20 + -6a?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 88, 75, 38, -35, -156, -337?\n\"Answer: -2*f**3 + f + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11.004236 - 2.0043. Let j = 9 - n. Round j to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -24*m + 105. Let s be y(4). Let h be 9 - 5 - (-5 + s). Let x = -2 - -3. Sort -8, x, h.\nAnswer: -8, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -89 times 0.093?\nAnswer: -8.277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -334 - 723. Let g = -281 - s. Let j = 6155\/8 - g. Find the common denominator of j and 121\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -209*d - 8. Let h be u(-2). Let i = -242 + h. Does 28 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2580482?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -3*i - 8. Let h(j) = -j**3 + 4*j**2 + 4*j - 3. Let m be h(5). Let c = m - -2. What are the prime factors of y(c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12 - 317*x - 347*x + 827*x - 2 in the form m + z*x and give z.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39659?\nAnswer: 39659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -8707693 times -7\nAnswer: 60953851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*h*j*n*x - 153*h*j - h*x - 403289*j**2*n*x + 4*j**2 + 4*j + 1087*n wrt x?\nAnswer: 3*h*j*n - h - 403289*j**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -968*p**3\/5 + 32409696*p**2\/5 - 589266*p + 66962\/5.\nAnswer: -2*(p - 33481)*(22*p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 199990237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -10764\/11, 6, -1, 13 in decreasing order.\nAnswer: 13, 6, 4, -1, -10764\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 5616159 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-5 + sqrt(153) + 0 - sqrt(153)) + 5 + 5*(sqrt(153) - (sqrt(153) + 0))**2*1*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 - 122?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/(-10) + (-2)\/10. Let i = -12 - -12.3. Let y = 0 - 1. What is the nearest to w in y, 2\/9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/(198\/(-22))*138\/(-24)*4\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**20)**18\/(n*n*n\/(((n\/n**(-22\/5)*n)\/n*n)\/n)*n*n*n*n*n**(2\/85)) assuming n is positive.\nAnswer: n**(-29208\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c - 2*c + 3*s - 11, -c + 2*s = 4. Solve -2*u + c = 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 324415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1 - -6) + (-6)\/2. Let k(x) = -3*x + 7 + 5*x - t*x + x. Let n be k(-5). Solve n*r = 6*r - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 21*u + 128. Let m be v(-6). Let r(i) = 185*i - 34. Calculate the remainder when r(m) is divided by 113.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 115864 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.35289145775598 + -5.\nAnswer: -4.64710854224402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 16078.32ml in litres?\nAnswer: 16.07832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 127967*t. Let o(p) = -20*p + 2. Determine i(o(d)).\nAnswer: -2559340*d + 255934","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-2))**(-16\/7))**(-33) assuming v is positive.\nAnswer: v**(-1056\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*s - 2137*s + 390*s.\nAnswer: -1743*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -w**3\/3 - 521*w**2\/9 - 7511*w\/3 + 841 = 0?\nAnswer: -87, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 + -9. Let r(o) = -o - 4. Let j be r(v). Let n = 43\/111 + -2\/37. Which is smaller: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g + w - 7, w - 3 + 1 = 0. Suppose 1 = 3*d - 4*h + 3, -g*d + 2*h = -6. Solve -2*c - d - 6 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 52*j - 26847 + 6359. List the prime factors of j.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-12)\/15*(-100065)\/14. Let j(a) = 1012*a**2 + a - 3. Let t be j(2). Let v = d - t. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 1:13 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*p**2 + 12*p**2 - 16*p**2 + 20*p**3.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1843*y - 1777*y + 1782 = 0 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 8676*g**3 + 0 + 404*g + 8617*g**3.\nAnswer: -59*g**3 + 404*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 divided by 1?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6\/(-3) + 16\/6. Let h = 31382\/3 - 10458. Factor -2 + h*m - v*m**2.\nAnswer: -2*(m - 3)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1363 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*g - 24 = 52. Solve 7*z - g*z - 15 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 49680 and 39744?\nAnswer: 198720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -9\/22  (b) 5  (c) -12  (d) -4  (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -9*v**2 + 2*v + 11*v**2 + 1 + 4*v**2 + 12*v**2. List the prime factors of b(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 689529491*a**2 + 323071808 wrt a?\nAnswer: 1379058982*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4495505 (base 11) to base 15.\nAnswer: a56a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23219 is divided by 135?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22652?\nAnswer: 2, 7, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -7 from 3146.\nAnswer: 3153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 31*f - 6*f**2 + 2 - 2*f**3 + f**4 - 32*f + 5*f**2 to the form j + q*f**4 + y*f**3 + t*f**2 + l*f and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2699929 by -148.\nAnswer: 2699929\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(33)*1)\/(sqrt(432)*2))**2.\nAnswer: 11\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 72 + -119. Let a = -6 - j. Let g = a - 24. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 1 t when three letters picked without replacement from ftyyyqjjytffyfy?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 123 - 123. Let h = 1.68 + -1.17. Let l = h + -5.51. Which is the closest to j?  (a) 4  (b) l  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -14*c**3 - 5*c**2 - 8*c + 1. Is p(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/290436033 and -48\/323983.\nAnswer: 3194796363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 123 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 129 and 6751.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the first derivative of k**3\/3 + k**2\/2 - k + 3. What is the remainder when 19 is divided by x(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4637 - -199390\/43. What is the nearest to 0.5 in -0.1, -0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -10 + 7 + -2 + 12. Let x be 414399920\/280 - (-2)\/s. Round x to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 109*d - 316*d - 270*d**2 + 104*d + 103*d to a + t*d**2 + x*d and give t.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14900?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -3*v + 2. Suppose 8 = 5*s - 6*s + 5*z, -v*s + z + 4 = 0. Solve s*j + 5 = -1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 577 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 374209743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**2 + 6*m - 6*m. Let w(v) = -v - 2. Let k(b) = -2*b - 3. Let f = 3 + -6. Let u(n) = f*w(n) + 2*k(n). Determine x(u(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 246 - 245. What is the second smallest value in -3, d, 0.2, -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b**4\/13 - 220*b**3\/13 + 3936*b**2\/13 + 123228*b\/13 + 119070\/13 = 0. Calculate b.\nAnswer: -15, -1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 118860 and 13482.\nAnswer: 38154060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-80)\/(-16) - (-1)\/(-13)*((14 - -74) + -29)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9 or -2.67?\nAnswer: -2.67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3847 - -0.3?\nAnswer: -0.0847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1ac (base 13) in base 9?\nAnswer: -375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -127 - 129 + 18*h - 98 + 527 in the form r*h + q and give q.\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 11) to base 14\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -48, -88, -114, -120, -100, -48?\n\"Answer: r**3 + r**2 - 50*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 - 861\/1012) + (-28)\/154. Let i = c - -205\/644. Let q = 23 - -7. Which is bigger: q or i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 345273259 to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**2\/7 - 21962944*x\/7 + 30148181821696\/7.\nAnswer: 4*(x - 2745368)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -426*o - 380*o + 815*o.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*p - 10120 = -26*p. Calculate the smallest common multiple of 15 and p.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 214  (b) -0.02  (c) -2  (d) 5  (e) 1  (f) 6  (g) 2\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 0\/(-1) - (218 - 354) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (73*w**3 - 41*w**2 + 41*w**2)*(77*w**2 - 74*w**2 + 91*w**2).\nAnswer: 6862*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -12 + 3. Let l be (1 - -2) + 48\/(-15). Which is the second smallest value?  (a) l  (b) u  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**2 - 28*t + 33. Let d be h(-29). Suppose -241 + 58 = -d*l + 3*u, -u + 3 = 0. Calculate the greatest common factor of 216 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -611 + 610. What is the closest to 1 in 1\/3, 1, 7, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 8 + -170282a?\nAnswer: -1702822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 696751332 divided by -12?\nAnswer: -58062611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -7*x - 44. Let f be p(-6). What is the closest to 0 in 1, 4, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s - 10. Let a be -2 + 1 - (-10 - -3). Let j be r(a). Let u be (-1)\/(-1)*-1 - 2. Is j bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000138385 rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3483*s + 6952*s = 3488*s + 1501 for s.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9237, 9236, 9235?\nAnswer: 9234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -826ad (base 15) to base 4.\nAnswer: -1210321033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1926 - 143. What are the prime factors of q?\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 - 20\/(-3)*-14*57\/2527\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**2. Let b(g) = g + 4. Let l be b(5). Let d(i) = i**3 - 8*i**2 - 9*i + 6. Let w be d(l). Let y(f) = -6*f**2 - 6*f + w*f + f**2. Determine y(t(k)).\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 12*b**3 + 36*b**2 - 11*b - 24. Let d(h) = 10*h**3 + 35*h**2 - 12*h - 24. Let w(v) = 5*d(v) - 4*l(v). List the prime factors of w(-13).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 17836 and 1820?\nAnswer: 89180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 68781120 to the nearest integer?\nAnswer: 8293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n = m - 24, 124*m + 6*n - 28 = 122*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 + 2. Let z = 1 + a. Calculate the smallest common multiple of (-174)\/(-15) - 8\/(-20) and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8993?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b + 8 + 16. Let t = -20 + 44. Find the common denominator of t\/b + 1\/2 and -105\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 93  (b) -0.2  (c) 23  (d) 138  (e) -1  (f) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2 + -6 + -243)\/(-3*(-1)\/(-3)). Solve -v*b + 21 = -248*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13344312*q**3 + 470779620*q**2.\nAnswer: -80065872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -2*b**3 + 10*b**2 - 11*b + 33. Let r be j(4). Let h be (-32)\/10 - 3\/(-15). What is the units digit of (-28)\/r*h\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -9*x**3 - 2*x**2 - 4*x - 2. Let b be c(-2). Round b to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 251 - 249.91. Let y = 0.03 - 0.12. Let o = p + y. Which is greater: o or -1\/14?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that 4*j**4\/5 + 336*j**3\/5 - 4608*j**2 - 389120*j = 0.\nAnswer: -80, 0, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 divided by -25.\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 417*z = -147*z + 144*z + 420 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -21c - 2da?\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (116*w + 176*w + 4*w)*(2 + 0 - 4) to d*w + u and give d.\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (48\/168)\/(2\/28). Suppose -k*x - 6 = 2*x. Put -1\/5, x, -3 in decreasing order.\nAnswer: -1\/5, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -713*q + 355*q + 363*q + 163*q**2 - 742*q**2 in the form j + x*q**2 + g*q and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 321 divide 32707193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 i when two letters picked without replacement from iiitiqqioqqqqii?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 + 1. Suppose -3*l + v*l + 77000 = 0. What is l rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 + (3 - 2 - 1). Let y = 4 + c. Solve -g - y = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69 = 3*q - 3*g, 4*q + 3*g - 113 = 14. Solve -q*v + 31*v = 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 484 and 2.\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 169322 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 915 is divided by 689?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 1414*s - 8391. Calculate i(6).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of -r**5 + 145*r**4 - 16225*r**3\/3 - 17405*r**2 - 1942. Factor m(f).\nAnswer: -5*f*(f - 59)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((sqrt(132) - sqrt(132)*-3)\/sqrt(11))**2*-3 + (sqrt(3) - (sqrt(300))**2) + 5 + (sqrt(15)\/(sqrt(50)\/sqrt(10)))**2.\nAnswer: -869 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 110 - 186 - -85 - (18 + -2 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -2*w**2 + w + 2. Give u(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 + 4912\nAnswer: 4911.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 7) to base 12\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 602553930 and 660.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1432237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 339973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1996449 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 61 + -501?\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 473 and 12907224.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-12)\/(-4)*(-2)\/3. Let r = n + 4. Suppose r*a + 2*a - 10 = -2*y, 2*a = 2*y - 28. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/8  (b) -1  (c) 2\/5  (d) -182\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*f - 2 + 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -23901250 to the nearest one hundred thousand.\nAnswer: -23900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) -1  (c) -5  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 22 - 17. Let a be -2*((-15)\/6 - 0). What is the greatest common factor of a and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) 2\/5  (c) -5\/34  (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/1084 and ((26\/12)\/(-13))\/(60\/486).\nAnswer: 5420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 33798806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4671097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2397 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -151956 = 2689*z + 152812 - 78892 for z.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pjg. What is prob of sequence pgj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1982, 3931, 5880, 7829, 9778, 11727?\nAnswer: 13676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*y - 11*y + 24*y.\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:23 AM and 11:19 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -23*q - 56. Let j(w) = -8*w - 19. What is -6*g(t) + 17*j(t)?\nAnswer: 2*t + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4704564 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**3 - 4*a**2 + 5*a - 6. Let s(u) = -u**3 - u**2 + u + 1. Calculate -h(t) + 2*s(t).\nAnswer: -t**3 + 2*t**2 - 3*t + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 - 60 + 19 + 20 + g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s + 8. Let y be j(6). Suppose -3*c = -34 - 11. List the prime factors of y\/(-5) + 36\/c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 275997530 to the nearest one hundred thousand.\nAnswer: 276000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 2*c**3 - 26*c**2 + 5*c - 61. Let o be x(13). Solve -o*b + 43 = 15 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than or equal to -1\/25394000?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -2*p - 2125. Let q = 350 - p. What are the prime factors of q?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/x**(-17)))**(1\/27) assuming x is positive.\nAnswer: x**(-17\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*c - 5*c = 0. Suppose -3*x = -c*n + n - 130, -5*n = 10. Calculate the greatest common divisor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2931247 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**3 - 4*n**2 + n + 3. Let c be l(4). Find the third derivative of c*z**6 + 2*z**2 - 5*z**2 - z**6 wrt z.\nAnswer: 720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4 - (-258)\/(-42))\/(3\/2). What is the nearest to 1 in -4, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:52 PM and 12:42 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (169 - 417977\/2698) + -2 + (-2 - 10)?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/21 - 27032\/201432.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f - 2*y = -5*f - 22701, 0 = -f - y + 7568. Suppose 1293 - f = -7*m. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r - 12. Let y be j(31). Find the third derivative of -y*x**3 - 22*x**3 + 19*x**2 - 8*x**2 wrt x.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 i, and 1 v when three letters picked without replacement from tvirrrtfttiritt?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k = -4*l - 2, 2*l - 4*k - 293 = -297 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express l + l - l + (-2*l + l - l)*(5 - 1 + 1)*(1 + 2 + 1)*(-2 + 2 - 5) as r + h*l and give h.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n*n\/(n**(-3)\/n)*n)*n**(1\/3)*n*n)\/((n*n**(-3\/16)\/n)\/n**(-2)))**23 assuming n is positive.\nAnswer: n**(-6049\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in three eighths of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3 - 6*x**2 - 5*x.\nAnswer: -x*(x + 1)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 148.92065058157 - -22?\nAnswer: 170.92065058157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, x: 1, l: 1}. Give prob of picking 1 r and 1 l.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*i**4 + 65*i**3 - 50*i**2.\nAnswer: -5*i**2*(i - 1)*(3*i - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -6114005.12 to the nearest 100.\nAnswer: -6114000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11850 + 11853.761. What is d rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/(2*(-2)\/(-6)). Let j be 38\/r - (-8)\/(-36). Suppose d = j*d + 4*m - 13, d = -3*m + 6. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-117*h + 116*h - 20 - 16)*(-5 - 2 + 4).\nAnswer: 3*h + 108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.3704 + 2.4704. What is the nearest to 1 in -2\/5, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 634788 and 12?\nAnswer: 634788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9*p*r**4 - 30346*p*r**3 - 2*p*r**2 - 1125431*p*r - p - r wrt r.\nAnswer: 108*p*r**2 - 182076*p*r - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*g**2 + 0*g**2 - g**2)*(g**2 - 7581*g**3 + 7560*g**3 + 128 + 43).\nAnswer: -63*g**5 + 3*g**4 + 513*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**3 + 8*y**2 - 8*y - 8. Let s be 18\/(-4)*4\/(-3). What is the remainder when h(s) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15615913 less than -1?\nAnswer: -15615914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + -2 + 6 + -23 - 4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -12*u + 81. Let m be o(13). Let x be 4508\/60 - (-10)\/m. Calculate the highest common factor of x and 600.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 12:46 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*h = -8*h + 4662. Let f = 517 + h. Sort 3, 31, f.\nAnswer: f, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -186 by -3.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 0.4, 5, 4\/11091, -48, -2\/3, -9\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2 - 1)\/(14\/56). Solve -6 = -s + q, s - 3*s = c*q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes before 12:08 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d - 1. Suppose 5*o - 55 = -20. Let x = 8 + -4. What is the remainder when j(o) is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -114105, -228201, -342297?\nAnswer: -456393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -34 + 30. Let l = 17 + -10. Let h = u + l. Solve -3 = h*y + 12 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -59*s**3 + 1897*s**2 + s + 13912603 wrt s?\nAnswer: -177*s**2 + 3794*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -59547 + 2a3?\nAnswer: -59254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -509854771 - -7.12497?\nAnswer: -509854763.87503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (15 + -17)\/(4\/(-34)). Suppose 0 = 14*u + 11 + h. Let m = 1 + 2. Put -5, m, u, 2 in ascending order.\nAnswer: -5, u, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.093 plus -29?\nAnswer: -29.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**3\/5 - 528*p**2 + 174240*p.\nAnswer: 2*p*(p - 660)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times -0.084?\nAnswer: 0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -466 + 465.99005. Let h = x - -0.01. Round h to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1144, -1145, -1146, -1147, -1148?\nAnswer: -1149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15.3 + -17.3. Which is the closest to 2\/7?  (a) p  (b) 0.5  (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1118642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sslsssss. What is prob of picking 3 s and 1 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**2 - 2*m + 2*m**2 - 6 - 2*m + 0*m**2. Is s(6) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 120799146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 38335 = 3*x, 48*y - 47*y - x = 7659. What are the prime factors of y?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/2, 8\/5, -0.09, -2\/3, 0.47, -2\/23?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 350 a factor of 21227833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7.8 + 1.2. Let d = -0.053 + 9.553. Let w = c - d. What is the closest to 1 in 1\/5, w, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 27*s**2. Let i(q) = -24*q**2 + 11. Calculate i(o(p)).\nAnswer: -17496*p**4 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -3*q**2 + 0 + 3*q**4 - 9\/4*q**5 - 3*q + 21\/4*q**3 = 0.\nAnswer: -1, -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-6)*n*n)\/n*n\/((n\/(n*n\/(n*(n\/((n\/(n**(-2)*n))\/n))\/n)))\/n))**(2\/109) assuming n is positive.\nAnswer: n**(-4\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*c + 38 = -13*c. Let t(h) = -h - 11. Let g be t(-8). Let l(s) = 7*s**2 - 3*s + 4. Let u be l(g). Calculate the greatest common factor of c and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 697 - 698. Sort 1\/4, 9\/5, x in increasing order.\nAnswer: x, 1\/4, 9\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14603511 to the power of 1\/2, to the nearest integer?\nAnswer: 3821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w, 1 n, and 1 o when four letters picked without replacement from wqwnawaaaqawwawowwa.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*o + 0*o + o)*(-183 - 15 + 82)*(-1 + 3 - 1) - 2*o - o - 2*o to t + c*o and give c.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 567.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*c - 12*c + 124 = -56*l - 198, -60 = 3*l + 6*c for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-4)\/(-6))\/((-1)\/(-180)). Let i = 122 - r. Let n(s) = 6 - i + 35*s - 49*s. Let g(p) = -p. Calculate -12*g(m) + n(m).\nAnswer: -2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 194381421 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -5, 5, 3, 5319 in increasing order.\nAnswer: -5, -1, 3, 5, 5319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(52)\/sqrt(4) + 4 + 4)**2 - ((-4 + sqrt(143)\/(6*sqrt(11)))**2 + -3).\nAnswer: 311\/36 + 22*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (4\/22*(-418)\/114)\/(5\/(105\/49))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 52392308 take away 71111.11?\nAnswer: 52321196.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l**3\/3 - 1460*l**2\/3 + 51374*l\/3 - 441592\/3 = 0. What is l?\nAnswer: -764, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -618, -2379, -5312, -9417, -14694, -21143?\nAnswer: -28764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Do -1\/333 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*z**3 - 101*z**2 + 25*z**2 - 76*z**2.\nAnswer: 2*z**3 - 152*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 649867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -15 - 11?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 x when two letters picked without replacement from ioxoixhhojjoo.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 1 - 5)*(-3*o + 0 + 0)*(26 + 32*o - 26) in the form c + g*o**2 + f*o and give g.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the first derivative of -j**4\/2 + 5*j**3\/3 - 5*j + 2550. Let g(t) = -2*t**3 + 5*t**2 - 4. Suppose -2*l = -4*l + 8. Give l*v(i) - 5*g(i).\nAnswer: 2*i**3 - 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*j**4 - 5*j**4 + 6*j**4 + (5 + 0 - 2)*(7*j**4 - 30*j**3 + 30*j**3) + (2*j**2 + 4*j**2 - 4*j**2)*(3*j**2 + 4*j**2 - 3*j**2).\nAnswer: 34*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1310 - -1315. Let i(h) = h**2 + 20*h - 64. Let u(n) = -2*n**2 - 30*n + 96. Let y(t) = -7*i(t) - 5*u(t). List the prime factors of y(j).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5337174391 to the power of 1\/4, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 7, -19, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes after 10:27 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*o = -1480 - 83552. Let z = -1184 + o. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-1086)\/(-3) + 2 + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-10)\/(-12))\/(80\/64))\/(330\/90).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 9*y. Let i(c) = 4*c. Let l(v) = -7*i(v) + 3*n(v). Suppose 16*d = 12*d + 12. Give l(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*s - 2*s + 840. Suppose -4*z + 0*z = -48. Calculate the greatest common factor of s and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/24 and (-29)\/6*8\/(48\/9).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -27 - -24. What is the units digit of (j + -2)*48\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v + 8. Let g be r(6). Suppose -2*x + 40 = g*x. Calculate the smallest common multiple of x and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 201356 and 568?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**1\/z*z)**(1\/12)\/(z\/z**(-1))**35)**48 assuming z is positive.\nAnswer: z**(-3352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -596, -1188, -1780, -2372, -2964, -3556?\nAnswer: -4148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 12 + (8 - 18) + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 - -101000111101111?\nAnswer: 101000111101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n**(-7\/4)\/n))\/(n**(16\/5)\/n) assuming n is positive.\nAnswer: n**(31\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1683.15 minutes to nanoseconds.\nAnswer: 100989000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 561 and 330?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 56 (base 9) to base 10.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4080?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2141112 (base 5) in base 15?\nAnswer: ae8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -2*c**3 + 3*c**2 + 716*c - 1436. What is t(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -150, 1\/8, 0.3, -5, -1 in descending order.\nAnswer: 0.3, 1\/8, -1, -5, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4623 is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g + 3*g + 7*y = -10*y - 0 + 8, -21 = -4*g + y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*j + 67 + 13 = 0 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 69580*a**2 + 212288*a wrt a.\nAnswer: 139160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6833*f*o**2 + 24*f*o*q - f*q + 10*o**2*q**2 with respect to q.\nAnswer: 24*f*o - f + 20*o**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 101340 + -1?\nAnswer: 10133c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = 5*q + 4*u - 15, 5 = 5*q + 2*u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -266*g + 265*g = 0, -3*o + 4*g = -6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide (-54580)\/(-80) + (-1)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 - 3*m**2. Let l be b(-5). Suppose 8*q = 13*q - l. Let k(v) = -v**3 + 10*v**2 + 16*v - 11. Is k(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -122 + 88 + 0*a**2 + 5*a**2 - 3*a - 48 - a + 85 - a**3. Suppose -r - 10 = -3*r. Suppose 5*k - 8 = 2*w, 3*k + r*w - 1 - 10 = 0. Give q(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -3\/4  (b) -192  (c) -1933\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*l**2 - 77*l**2 - 3230*l + 37*l**2 + 3312*l - 1.\nAnswer: -5*l**2 + 82*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -5*h - 2. Let r be j(5). Let z(l) = -l + 15. Let c be z(-18). Let u = r + c. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -781*l - 543. What is d(-2)?\nAnswer: 1019","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 31*n**2 - 156*n + 620. Let y be v(4). Put 4, y, -14 in descending order.\nAnswer: y, 4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*n + 108 = 35*n + 11*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1544.727618s to weeks.\nAnswer: 0.002554113125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/5)\/(2*(-2)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3444*h**3 - 828*h**2 - 5049591 with respect to h.\nAnswer: -10332*h**2 - 1656*h","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -7*u - 5. Let o(w) = 7*w + 4. Let m(q) = 4*l(q) + 5*o(q). Let t(h) = -39*h. Calculate m(t(b)).\nAnswer: -273*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 120 - 120. Suppose -3*q + 6*q - 4*v - 44 = m, 4*v + 12 = q. Let f be q\/6 - (-20)\/(-10). Put -11\/3, 1, f in ascending order.\nAnswer: -11\/3, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7 and 26509.\nAnswer: 26509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -1\/4, 4, 1, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 351, 343, 335, 327?\n\"Answer: -8*s + 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 102 + 1320?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d + 196490 = -u + 196389, 2*d + 277 = -3*u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(45) + -3 + sqrt(45))*-5 + -1*(5 + -1 + sqrt(605) + sqrt(605)))**2.\nAnswer: -1664*sqrt(5) + 13776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/(-39) - 744\/78?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -4851 and 46635.\nAnswer: 41784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*v**5 - 1022*v**4 - v**3 - 1658*v**2?\nAnswer: -180*v**2 - 24528*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-396)\/7 + -10*(-14)\/245. Let g be 4*49\/n*16\/(-14). Solve -b + y = -0*y, 0 = -g*b + 2*y - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 83?  (a) -3\/2  (b) -2  (c) -0.3  (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 25*t + 2. Let n(l) = -24*l - 2. Determine 4*n(q) + 3*y(q).\nAnswer: -21*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 18*m**3 - 4*m**2 + m + 2. Let w be t(2). What is w rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16 - -15. Let x(v) = 18749*v**3 + 3*v + 2. Let d be x(f). Let k be (d\/(-9))\/(2\/(-3840)). What is k rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/24 of a decade?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(((-429)\/22)\/(-13))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -219*v + 15996. Determine r(73).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a + 19. Let f be d(11). Let v = -5 + f. Differentiate -v - 2*u**3 + 13*u**2 - 13*u**2 with respect to u.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -3*l**2 + 75*l + 23. Let j be u(25). Let o = j + -23. Solve -5*t + n = 5*n, -t - 5*n = o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 4*w = 170. Let r = -50 + w. Suppose -19 = -z - 5*q + 4, 5*z + 5*q = r. Solve -z*k - 2*a + 7 = 0, -5*k + 0*k - 5*a + 20 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -1. Let s(y) = 8*y + 14. Give -3*s(b) - 42*u(b).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -50 + 87. Suppose 8*c - n - 27 = 0. Let p be (6\/c)\/(2\/(-8)). Let z(s) = s**3 + 3*s**2 + 2*s. Give z(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**2 - 10. Calculate u(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4300 and 172?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -173\/4872 and 37\/1624?\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*w - 41 = 9*w - 3*t, 0 = -4*t + 52 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2 + 1\/(14\/20). Which is the closest to 0.2?  (a) t  (b) -0.1  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1432690?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the first derivative of -4049*q**4\/4 - q**2 - 184*q - 5443. What is the second derivative of o(l) wrt l?\nAnswer: -24294*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in 2*g**4\/7 + 3904*g**3\/7 + 1916820*g**2\/7 + 1625744*g + 1352470 = 0?\nAnswer: -973, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the first derivative of 3*p**4\/20 + 76*p**3\/5 + 2688*p**2\/5 + 36864*p\/5 + 7016. Factor b(v).\nAnswer: 3*(v + 12)*(v + 32)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.73 - 0.27. Let f = -1038 + 1032.7. Which is the closest to 3?  (a) 1\/4  (b) y  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a millimeter in micrometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -573, -2153, -4785, -8469?\nAnswer: -13205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -18613947.9 to the nearest 100000.\nAnswer: -18600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 5*i - 2 + 8*i + 0*i + i**2. What is the tens digit of y(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*n**2 + 16423*n - 16423*n.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 7511 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z + 6*a - a + 25 = 7*z, 99*z - 503 = 4*a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 94 = 5*b, 0*b + r + 98 = 5*b. What is the highest common divisor of 65 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 - 8*s**2 - s + 10. Calculate the smallest common multiple of o(-8) and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81 is divided by 27.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve c + 3*w - 1 + 14 = 0, -28 = 4*c + 4*w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jgddrjdd. What is prob of picking 1 j and 1 d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b**3 + 4*b**3 - 2*b**3)*(54 + 73 + 28)*(2*b - b + 0*b).\nAnswer: 155*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 649 - 645. Put t, 1, -2, -3 in ascending order.\nAnswer: -3, -2, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.149 + 15.151. Let h = 15 - y. Sort 0, h, 1 in decreasing order.\nAnswer: 1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 5\/2, 474, 15, -2\/15, 0.2?\nAnswer: 474","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -2*d + 1. Let x = 118 + -125. What is a(x)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -237570 by -2.\nAnswer: 118785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10005 - 0.020929.\nAnswer: 10004.979071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 238\/2 - 4\/(-8)*2. Suppose -m = -i - 15. Calculate the greatest common divisor of 84 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**2 + 4*f + 3. Let k be s(-4). Suppose -115 - 5 = -k*o. Suppose 2*c - 28 = -n, 0 = -4*n + 5*n. What is the remainder when o is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.2994 and 141.6.\nAnswer: 141.8994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the first derivative of -t**6\/120 + t**5\/20 - t**4\/12 - 3*t - 4. Let y(c) be the first derivative of h(c). Let y(o) = 0. Calculate o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8523?\nAnswer: 3, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -182, -168, -144, -110, -66, -12?\n\"Answer: 5*r**2 - r - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 205001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3907*f**2*p**2 + f**2 + f*p**2 + 15*f - p**2 + 510 wrt p?\nAnswer: 7814*f**2*p + 2*f*p - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -7134 take away 0.3?\nAnswer: -7134.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -169\/480 and -93\/40?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -3*c - 15. Let p(g) = 368*g**2. What is a(p(q))?\nAnswer: -1104*q**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4\/23 - 73\/552. Let s(u) be the third derivative of 0 + 0*u + 4*u**2 + 11\/6*u**3 + y*u**4. Give s(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00008178 rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {k: 2, p: 3, l: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2236 in 0.3, -0.08, -12, -4, -8?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -20, -22, -20, -14, -4, 10?\n\"Answer: 2*c**2 - 8*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -31*y**2 - 4*y + 3. Let s(f) = 62*f**2 + 9*f - 7. Let h(n) = -3*s(n) - 7*x(n). Let z be h(1). Solve -z = -3*o + 4*t, 3*o - 3*t - 10 = 17 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 23 and 30.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -48988641 or -48988638?\nAnswer: -48988641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**3 + o**2 + 5. Let f be r(-2). Suppose -4*c = f - 21. Suppose 19 = 8*l - c. Calculate the remainder when 4 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8638 and 120427294.\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2158906682?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -473 - 4?\nAnswer: -477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 3182059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-23)\/((-1495)\/2))\/(((-9)\/(-3))\/(-15))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -104 by 26.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32 + -6 + (-16 - (-20 - (-24 + 13))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -t**4\/3 + 14*t**3\/3 + 91*t**2\/3 - 596*t\/3 - 476 = 0. Calculate t.\nAnswer: -7, -2, 6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r - 4*k - 14148, 5*r - 164*k - 17693 = -167*k. What is the remainder when r is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -35*t + 18*t + 20*t in the form k + d*t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 280533387 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d + 4*h - 17, 2*d + h = 14 + 55. Factor -60*o**2 + 20*o - 30*o**4 + d*o**3 + 28*o**3 + 5*o**5 + 0*o.\nAnswer: 5*o*(o - 2)**2*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 198.89996 + -11.79136. Let m = k - 187. Let b = -0.0725 + m. What is b rounded to three decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14 + -8. Let u(j) = -17*j + 1. Let t be u(-2). Find the common denominator of (20\/t)\/(q\/14) and 77\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 158638 is divided by 468.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17335?\nAnswer: 5, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = 2*p - 332, -801 = -5*p - 2*o - 19. Is p a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*p**5 - 52*p**4 - 434*p**3 + 1636*p**2 - 1152*p = 0. What is p?\nAnswer: -9, 0, 1, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 4, i: 1, t: 2}. Give prob of picking 2 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 117 = 5*m + 17. Let g = 9 - 13. What is the common denominator of (g\/m)\/(24\/645) and -39\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -6*z + 6. Let s(v) = 6 + 43 - v**3 - v**z + 16. Is s(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-80))\/((12\/915)\/1)*-8.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, 3, 19, 2 in ascending order.\nAnswer: -11, 2, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*f - 4, -4*x - 5*f + 2*f - 23 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/((-14 - -13)*3) + ((-6765)\/1355 - -5).\nAnswer: 2\/271","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a. Let f(x) be the third derivative of -1\/2*x**4 + 68*x**2 + 0*x - 1\/6*x**3 + 0. Calculate 22*d(p) + 2*f(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - (14 + -12 - -17).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*sqrt(104)\/(sqrt(8)*2) + (sqrt(13) - (sqrt(13) + 0))*-6 + sqrt(13) + -4 + (sqrt(13)*-2)**2.\nAnswer: -3*sqrt(13)\/2 + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:20 PM and 12:40 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-16)\/10)\/(10\/(-25)). Solve -3*g - o*m + 10 = 0, 2 = -g - 5*m + 9 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 36\/(-8)*52\/(-5265)*5.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 113199561 or 113199556?\nAnswer: 113199556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*b**2 - 10*b**2 + 5*b**6 - b**6 + b**2 wrt b?\nAnswer: 480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 - -10. Suppose 5*t - 3*k - 13 = 43, -w*t + 42 = -k. Let z(h) = t*h + 0 + 0 - 2*h. Let l(c) = 3*c. What is 17*l(r) - 6*z(r)?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*a**3 + 29*a**3 - 3*a**3 - 11*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/(-8) + (-1)\/(8\/(-18)). What is the fourth biggest value in q, 0.1, 14\/27, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 252, 243, 230, 213, 192, 167, 138?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pxp when three letters picked without replacement from ppx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -488\/7  (b) -2\/43  (c) -5  (d) -2  (e) 3  (f) -0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1223444 - 3?\nAnswer: 1223441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 127.6 + -127. What is the second smallest value in -0.1, -4, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22126397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-28)\/35*15\/20)\/((-64)\/(-5760))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 444809 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 4 = -14. Suppose -u*s - 2882932 - 42297068 = 0. What is s rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(15\/4))\/r*r**(-22) assuming r is positive.\nAnswer: r**(-73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(2268)*2 + sqrt(2268))*-5)\/((sqrt(32) + sqrt(288)*2)\/(sqrt(1152) - (sqrt(1152) + (-2*sqrt(1152) - sqrt(1152)) + sqrt(1152))))*-1.\nAnswer: -9720*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 8. Suppose 3*x - 35 - g = 0. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 - -1) + (65 - 73).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/((f**(9\/5)\/f)\/f*f))**11\/(((((f**(-1\/86)*f)\/f)\/f)\/f)\/f*f**(24\/7)) assuming f is positive.\nAnswer: f**(5367\/3010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24 divided by 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*m = -q - 12*m + 10, -21 = -4*q + m. Suppose -5*f - 4*l = -585, -l + 600 = q*f - 0*l. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*n - 3*a - 44 + 40, 5*n + a + 28 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the second derivative of -x**6\/10 + 21*x**5\/20 - 17*x**4\/4 + 17*x**3\/2 - 9*x**2 + 8*x. What is r in q(r) = 0?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-5846)\/1264 + 6 + -1. What is the second biggest value in 2, 0.3, -433\/3, -0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**3 - j + 1. Let c(q) = 15*q**3 + 2*q - 2. Let n(o) = -o**3 + 5*o**2 + o - 12. Let x be n(2). Give x*c(m) + 4*t(m).\nAnswer: 26*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -911*d + 912*d - 21 = -5*y + 22, -6*y = -4*d + 94 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11017 = -415*t + 12207 - 15229 - 12521 for t.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the second derivative of 115*w**3\/6 - 179*w**2\/2 - 2*w - 93. Differentiate a(i) wrt i.\nAnswer: 115","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (156\/(-119))\/((-1355)\/(-47425)) + (-8)\/68.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kyyckqccmcccckck. Give prob of sequence qmkk.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 193\/70 - 93\/70. Determine g so that 6\/7*g**2 - 4\/7*g**4 - 8\/7 - l*g**3 + 16\/7*g = 0.\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 206363 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3562 is divided by 92?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4762083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/10)\/(279\/155).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the second derivative of 1\/90*d**5 - 2\/27*d**3 + 11*d + 0 + 1\/54*d**4 + 0*d**2. Factor c(t).\nAnswer: 2*t*(t - 1)*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes after 5:51 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m\/m**(4\/5))\/m*(m*(m*m**(2\/21))\/m)\/m)\/((m**(-1\/4)\/m)\/m)**(-26))\/(m*m\/((m\/(m*m**(-4)*m))\/m*m)*m*m\/(m\/m**(4\/5)))**(1\/19) assuming m is positive.\nAnswer: m**(-47279\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-5)\/4)\/(-1) - (28 - 1776\/64). Solve -a + x = d, -4*a - a + 6 = 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 525571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 31 - 24. Calculate the remainder when 12 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1982*v - 3987*v - 12 = -1982*v - 5*i, 2*v + 0*i - 23 = -3*i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the second derivative of 6*r**5\/5 - 19*r**4\/12 + 10*r. Find the third derivative of m(q) wrt q.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31428*j = -31316*j - 2464 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6311349 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: What is the common denominator of 109\/960 and -86\/15?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 2396260600 to the nearest 1000000.\nAnswer: 2396000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -50 + 29. Let v = g + 41\/2. Let o be 15\/25 - 2\/5. What is the nearest to o in v, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -219 * 6.\nAnswer: -1314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7450 is divided by 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -99893942*k**3 - 150318708*k**2 wrt k?\nAnswer: -599363652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1632, 3132, 4624, 6108, 7584, 9052?\nAnswer: 10512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1505083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((8\/44)\/(165\/(-726)))\/((-174)\/(-290))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oi when two letters picked without replacement from ppxwmxpoiix?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*w + 4*w - 4*w + 3*w - 2*w - 3*w + (4 - 5 + 0)*(2*w + 1 - 1).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 212958*u - 106474*u + 4*u**2 - 106482*u + 569 to t*u + b + a*u**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001110101101100100011 + -11000?\nAnswer: 1001110101101100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0, -6, 4 in ascending order.\nAnswer: -6, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 11738653 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**2 - 889166*z - 3556639. Determine b(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -38.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.7?  (a) -4  (b) 21928  (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 256 - 283.7. Let w = l - -28. Let p = 342.9 - 343. Which is the second smallest value?  (a) -3\/5  (b) p  (c) w  (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -273\nAnswer: -4\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-4)\/(-6))\/(4\/(-6)). Let m = -2 - p. Let y be ((-8)\/78)\/((-9000)\/(-19500)). Put m, y, 8 in decreasing order.\nAnswer: 8, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 3 + (-10 - -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (50 + -64 - (-2 + -24)) + -49?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 + 3 = -3*a. Suppose -v = -2*v - t + 12, -4*t = -5*v + 15. Suppose 10 = -v*s + 2*s, a = g + 2*s. What is the least common multiple of 16 and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4576)\/(-2860)*(-15)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 + (2 + -4)\/(-6). Let w = j + 17\/12. Suppose -5 = 3*c - 8*c. Which is smaller: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002112352043 rounded to 7 dps?\nAnswer: -0.0002112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 66217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-83)\/(-8) + 21 + -31.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.045*-0.24\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-1\/3))**(-3\/16)*(z*z*z*z**(1\/5)*z)\/(z**(-6)\/z))**48 assuming z is positive.\nAnswer: z**(2703\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 112089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 12661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the first derivative of l**4\/36 + 2*l**3\/9 + l**2\/2 - 15*l + 3. Let h(r) be the first derivative of o(r). Solve h(c) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r - 15, 2*u - 2*r + 80 = 7*u. Suppose 8*t = 676 + 3468. Calculate the highest common factor of t and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4451 divided by 22.\nAnswer: -4451\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (20*(-7)\/(-210)*(-174)\/4)\/1?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 92 divide 929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -11027*l**5 - 12*l + 325.\nAnswer: -220540*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/(-2) + 56\/(-21). Let y = 0.14 + -3.14. Which is the nearest to 1\/3?  (a) y  (b) 5  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -89 + -4 + 283 + -255 + (-33 - 0)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i - 3*i + 45 = 3*s, s - 5*i = 11. Suppose -r = -4*k - 5 - s, 0 = -4*r - 5*k. Determine w, given that 0*w**4 + 4*w**3 - w**4 + 0*w**3 - r*w**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/8, -0.004, 1, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-400)\/(-3800))\/(8\/(-1064))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1964*x + 1595 - 1595.\nAnswer: -1964*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -202 - 2101100000210220?\nAnswer: -2101100000211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -331, -324, -305, -268, -207, -116?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 59 and 944?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/3*x**2 - 16\/3*x + 5.\nAnswer: (x - 15)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 2616 = -q. Let i = 15 - 7. Calculate the lowest common multiple of (6\/(-10))\/(-3) - q\/60 and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 + 305?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1357*i**4*m + 2*i**4 + i**3*m - 9*i**3 - 4*i**2*m + 11*i**2 - 119*i*m - 4*m wrt i?\nAnswer: -32568*i*m + 48*i + 6*m - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 519*u + 494*u - 2940 = 978*u. Is u a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 5*s**4 + 18225*s**3 + 16561905*s**2 - 83156125*s + 99918750 = 0.\nAnswer: -1825, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**3 - 16*i**2 + 20*i + 66. Let s be m(-17). Calculate the common denominator of -47\/4 and (36\/(-14))\/2 + (s - 17).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -132?  (a) 2\/5  (b) -0.3  (c) 0  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1081*2883.\nAnswer: -311.6523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.44978 times 3\nAnswer: 1.34934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 28620.9449 + -28663.9448954. Let a = -43 - k. Round a to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00006703 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.6 - -2.4. Let f = 2.5 - i. Let k = 1 + -0.5. Which is the biggest value?  (a) k  (b) 5\/6  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6242 - 5940. Solve -291*h + 33 = -w*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -46*g**2 + 50*g**2 - 2*g - 2*g wrt g?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 11714, 11710, 11696, 11666, 11614, 11534?\n\"Answer: -y**3 + y**2 + 11714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9 by 198079.\nAnswer: 9\/198079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 0.079436  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -44430300 (base 5) to base 12\nAnswer: -169462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**2\/5 + 32523*w\/5.\nAnswer: -3*w*(w - 10841)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1905 + 1925. Solve 0 = -z + l, -3*z - l - p = -0*l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ijjjjjjijjjjjijjii.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 - 0. Let j = -1380835 + 1814417035\/1314. Let q = 1\/146 + j. Is q < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1781887 is divided by 1270.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -400 + 396. Which is the smallest value?  (a) n  (b) -2\/5  (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3 + (-33)\/15)*5. Suppose -g*y + 0*b - 2*b = -246, -3*b = -5*y + 335. Suppose y = d + d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x\/x**(-2))\/x*(x*x**(-2\/11)\/x)\/x*x*x**8*x**9 assuming x is positive.\nAnswer: x**(218\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 16920\/7 - 2422. Let r = 1652 + -13199\/8. Find the common denominator of r and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 1, w: 4, m: 3, u: 2}. Give prob of sequence uuwm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*b**4 + 2*b**3 - 2*b**3 + (3*b**3 - 9*b**3 - 5*b**3)*(3*b - b - 6*b) - 13*b**4 - 104*b + 104*b.\nAnswer: 29*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*x + 4*x**2 - 4*x + (-4*x - x + 3*x)*(-4*x + 6*x + 5*x) + 4*x**2 + 0*x**2 - 2*x**2)*(0 - 2 - 1) as s*x + n*x**2 + v and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}