{"text":"Question: What is the third smallest value in 2\/5, -0.2562, -2.7, -2, 3\/2?\nAnswer: -0.2562","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 27\/(-6)*(0 + -3 + 1). Let f = d - 0. Solve -3*j = -5*p - 2*j - f, -1 = -2*p + 5*j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 12*s. Let b(k) = -12645961*k**2. Determine b(a(d)).\nAnswer: -1821018384*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 minus 10636?\nAnswer: -10636.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -15*(42\/(-35))\/3. Solve -k*o = -4*o - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -4, 710, -72 in descending order.\nAnswer: 710, 1, -4, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2.333 in -3, -0.2, 5, 19\/2, -1\/3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j + 10 = 8*j. Let n be ((-8)\/j)\/(20\/(-450)). Let l(g) = 4*g - 10. Let b be l(7). What is the highest common divisor of b and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1419441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c = 2*c + w + 49, 3*c - 39 = 3*w. Let h(y) = -9 - c*y**2 + 5*y + 6 + 12 + y**3. What is h(8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q**4 + q**4 - q**4)*(-630 + 328*q + 331*q - 657*q).\nAnswer: -4*q**5 + 1260*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7 - -11. Suppose d - 2*x - u = -x, -d - 3*x = 12. Which is greater: -2\/7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2939, 2448, 1945, 1424, 879, 304, -307?\nAnswer: -960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1960 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2a46 + 1719b?\nAnswer: 14355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 593270227542+-0.114\nAnswer: 593270227541.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1477 divided by -5.\nAnswer: -1477\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hvttgh. What is prob of picking 2 h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-100)\/15*9\/(-2). Let r be ((-4)\/10)\/(1\/b). Is (489\/r)\/(2\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 4*d - 20, 21 + 4 = 5*d. Suppose n*v = v - 18. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 428910 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -136a682 (base 13) to base 9.\nAnswer: -12480746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 145 + -97. Suppose 84 = -9*t + 6*t. Let r = t + b. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 31 - 29. Which is bigger: 4 or m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i**2 - 603912304*i - 22794379432661776 = 0. What is i?\nAnswer: -75489038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1589*g**4*j**3 + 120*g**2*j**3 - 14065*g*j**3 + 5*j**2 wrt g.\nAnswer: -19068*g**2*j**3 + 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 380071610?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -39558847 - 0.18?\nAnswer: -39558847.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0639735229 to three decimal places.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s**2\/13 - 144*s\/13 + 280\/13 = 0. Calculate s.\nAnswer: 2, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-2 - 0 - -2 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17*v - 12 + 6*v - 1 + 2 - 4*v to the form t*v + j and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 2*n + 165. Let w be b(-57). Solve 0 = -53*l + w*l + 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the second derivative of 11*z**4\/12 + z**3\/2 - 3*z**2\/2 - 2*z. List the prime factors of q(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -2*b**2 + b + 33220000. Let f be d(0). What is f rounded to the nearest 1000000?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 108.1 + -230.2. Let z = -122 - t. Is z >= -167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24617135 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-96)\/(-64) - (4 - -39)\/(24 - -2)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 5, d: 1, q: 1, w: 3, c: 4}. What is prob of sequence qc?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -491 + 449 + (22 - 1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 0*m - 40 = -4*m, 2*m = -2*g + 36. Suppose -k - 3*k + 8 = 0. Suppose -u - k = -q, 7 - 1 = 2*u. Solve -q*x - 4 = g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kcckcccckcckcckc. Give prob of picking 3 k.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -2*h**2 - 8*h + 6. Give f(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 4\/10*-55*336\/(-528)*(-13)\/2\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 183 + 26 - 213 + 5*o**3 + 271*o + 2*o**2 to the form u*o + t + g*o**2 + m*o**3 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*q + 190 + 1052 = 100*q for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.694888cm in nanometers?\nAnswer: 26948880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes after 10:26 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -n**4 + 6*n**3 - 6*n**3 + (3*n**2 - n**2 + 0*n**2)*(-5*n**2 + n**2 + 2*n**2) + 910*n**4 - 84*n**4 + 691*n**4 - 233*n**4.\nAnswer: 1279*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**3 + 9*u**2 + 17*u + 1. Let r be f(-8). Let a = 115 + r. Is 22 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (-378)\/99 + (40\/(-55))\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.02 + -4.02. Let w = u - -3. Let n = 5396 - 5401. What is the biggest value in 0.2, w, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**3\/5 - 948*p**2\/5 - 8331*p\/5 - 12894\/5.\nAnswer: -3*(p + 2)*(p + 7)*(p + 307)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**2 + 2*a + 5. Let p be k(-5). Is p < -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-10)*110*51\/29172?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 48653 - 9633325\/198. Let t = d - 9491\/1980. Calculate the common denominator of 1\/3 - (-302)\/(-60) and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 13*m**3*r**2 - 1209*m**3*r*u + 11*m**3 + 306*m**2*r**2*u + 82*m**2*r**2 wrt u?\nAnswer: -1209*m**3*r + 306*m**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -50496.29897 rounded to the nearest one thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000076301142 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*s - 4*j + 3 = 20*s, 5*s - j - 18 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -16?  (a) 3  (b) 230  (c) 3\/550  (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i - 110 + 1280. Suppose -3*s + i = 2*s. Round s to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 41320503 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**3 - 5*c**2 - 18*c - 90. Determine b(-6).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 728*n**2 + n. Let a(l) = 126*l. Determine a(o(c)).\nAnswer: 91728*c**2 + 126*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -172617390 rounded to the nearest 100000?\nAnswer: -172600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 3072, 6055, 9042, 12033, 15028?\n\"Answer: 2*r**2 + 2977*r + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/7 or 1236.24?\nAnswer: 1236.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5845, 4887, 3911, 2917, 1905?\nAnswer: 875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 0*f + f = 0, 3*s + 5*f + 8 = 0. Let v be (-1)\/4 - (-300)\/560. Which is the closest to v?  (a) -0.1  (b) s  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1569, 1985, 3119, 5331, 8981, 14429?\n\"Answer: 60*q**3 - q**2 - q + 1511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) - (sqrt(396) + 0)**2) + 2.\nAnswer: -394 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 86 - 45. What is the remainder when n is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0006214207 to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 10*g**3\/13 + 84*g**2\/13 - 58*g\/13 - 36\/13.\nAnswer: 2*(g - 1)*(g + 9)*(5*g + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -40223313 (base 5) to base 10\nAnswer: -320458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 75373853 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6\/31307 + -36566450\/657447. Let p = y - -56. Calculate the common denominator of p and -119\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-2\/5)*d**(-1)*d**(-4)\/d**(-6) assuming d is positive.\nAnswer: d**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -6*f**3 + 2*f**2 + 19*f + 57. What is j(-3)?\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3586 (base 9) to base 2.\nAnswer: 101001101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 158570298.\nAnswer: 2, 3, 211, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(242) + 5)*-1*-1*-5*-6)**2.\nAnswer: 99000*sqrt(2) + 240300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1229153.8 + 661.\nAnswer: -1228492.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 52339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, m: 6}. Give prob of picking 2 m.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 261897, 2095251, 7071465, 16761969, 32738193, 56571567?\n\"Answer: 261905*b**3 + 19*b - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -3*o**2 + o**2 + 4 - 5*o + o**2 + 14*o. Let y be n(9). Suppose 4*l = 5*l - 4, l = 2*v - y. Solve 3*h + v*a - 10 = -2, 3*h - 6 = -3*a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4755 by -5.\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/77888 and -95\/12?\nAnswer: 233664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z**3 - z**3 - z**3 + (3*z + 3*z - 4*z)*(-z**2 + 4*z - 4*z))*(413*z + 2144*z + 1459*z)*(-2 + 6 - 5).\nAnswer: 4016*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.6?  (a) 0.5  (b) -51  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1574444?\nAnswer: 2, 393611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 255 - 254. Let q be -5 - (100\/(-16) - i - -4). Which is the second biggest value?  (a) -1\/4  (b) q  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-104)\/(-117)*12\/(-4)*6\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41 - (-57 - (-27 + -20)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -62547, -125084, -187621?\nAnswer: -250158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -36 + 80. Suppose -2*u + 4*n + 0 = -2, f = 4*u + 2*n. Calculate the remainder when 69 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97160 - 4337 + 31610 = -1790*f - 9817 for f.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 48 and 480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 3*l + 84. Let g(z) = 7*z + 12. Let r be g(9). Suppose 3*x + 2*x - r = 0. What is the remainder when l is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j = 2*s + 10, 9*j - 3*s = 5*j + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*v = 23*v - 24. Let d = 36 + v. Let g = -169\/4 + d. Sort 5, 2, g, 3 in descending order.\nAnswer: 5, 3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -275451323 to the nearest 100000.\nAnswer: -275500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 + 40*m**2 - 126*m - 79. Let a be q(-43). Is -208 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.43 - 0.64. Let r = g - 4.99. Let s = 1.2 + r. What is the third biggest value in -5, s, 5\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the first derivative of -2*m**3\/21 + 614*m**2\/7 - 188498*m\/7 - 1691. What is r in z(r) = 0?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 592175173 to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 - (2\/9 - 0). Let f = 195 + -190. Let w = 131\/3 - 44. Which is the third biggest value?  (a) m  (b) f  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -553*f - 680 = -4598 - 17549 - 100 for f.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 39556 and 1848.\nAnswer: 1661352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 - 3. Suppose -r + g = -4*c, -4*r - 24 = 2*c - 0. Let z = -6 + 5. What is the biggest value in -5, c, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65792041.\nAnswer: 7, 19, 494677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**3 - 8*w**2 + 5*w + 46. Let k be (87 + -107)\/(15\/6). Give y(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(1*-2))\/((-18400)\/1472)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 6*s**4 + 10*s. Let g(b) = -6*b**4 - 10*b. Let i(d) = -4*g(d) - 5*o(d). Find the second derivative of i(m) wrt m.\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 91519083.\nAnswer: 3, 10168787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*i - 9*i = 6. Suppose f - 4*f + 12 = 0. Suppose -i*j = 2*g - 76, 9*g - f*g = -3*j + 124. What is the remainder when j is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:46 PM and 8:55 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 16, b: 4}. What is prob of picking 3 b?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1181140931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, z: 1, n: 1, d: 1, f: 3}. What is prob of picking 1 n and 1 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -646 - -650. Let s(j) = -j**3 + 4*j**2 + 6*j + 2. What is the smallest common multiple of v and s(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(1053) + sqrt(1053)*2)*-5 - (sqrt(1053) + 2 + -1) - (2*sqrt(1053)*-3 + 5)) + -3.\nAnswer: -360*sqrt(13) - 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 41578596?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 397088173?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -31 + 36. Solve 3*v + 22 = -2*m, -5*v = s*m + 16 + 29 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 4*o + 44 = 0, -26 = 3*q + 5*o + 20. Let y = 31 + q. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 2*y + 2 = 16, 4*y = -3*j - 6. Is 1 - 2*(j - 133) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**3 - 30*v**2 + 55*v + 24. Give o(28).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p = 423 - 1159. Let o = -144 - p. Let j = 52 + o. Solve 0 = -r - j*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**3 - 45*t**2 + 509*t + 22907. Calculate q(-45).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 7*s**2 - 8*s - 10. Let b be l(-5). What is the units digit of b + 2 + 9\/(-3) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes before 6:07 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 14978 = -2*u, 7*u + 22483 = 3*v + 8*u. What are the prime factors of v?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5209618217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -47 + (-10 - -62) + (8 - -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6320\/28567 + -10\/583. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89*i = -92*i + 105. Calculate the remainder when i is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1139 - 1139.1. Let v = 7.9 + -8.1. What is the second biggest value in v, 0.19, 5\/3, j?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 divided by 2636.\nAnswer: 3\/1318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 200*k - 198*k = 16. What is the closest to 2\/5 in k, -0.1, 4\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4744 + -4742. Sort -5, 27, b, 36 in increasing order.\nAnswer: -5, b, 27, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 4739 = -10*g. Suppose 4*w - 7*w + g = 4*x, -2*x + 336 = 4*w. Is 47 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 35713?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -473\/8 + 59. Which is the smallest value?  (a) -0.3  (b) g  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*r + r - r + (-2 + 0 + 1)*(0*r + 5*r - 3*r) - 8 - 2*r + 8.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -0*r + 12, 4*s + 4*r - 56 = 0. Let g(c) = 3*c**2 + 2*c + 3. Let a be g(-1). Solve -5*l - 12 = 2*y, -4*y + l = a*l + s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -935 or -953?\nAnswer: -953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -142234 (base 6) to base 3\nAnswer: -200111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1422 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -520 - -623. Suppose -97*q = -o*q + 18. Let a(j) = j**3 - 2*j**2 - j - 4. Calculate a(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in -3, -5, -2\/3, -13\/2?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 77416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*m**3 + 1254708226 + m - 1254708226.\nAnswer: 13*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 249582?\nAnswer: 2, 3, 41597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*w - 2*w + 6*w)*((-2 + 0 + 1)*(3*w + 2*w - 3*w) + w - w + w - 18*w - 131*w - 59*w) - 11*w**2 + 2*w**2 - 3*w**2.\nAnswer: 197*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 28 - 1)*(-1 + 1 + 4*n**3)*(-3 + 0 + 1)*(-3 + 2 + 2)*(12 + 26 + 13).\nAnswer: 7752*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -95, -3, 4, 5, 6 in decreasing order.\nAnswer: 6, 5, 4, -3, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 13207, 13209, 13211, 13213, 13215?\n\"Answer: 2*t + 13205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (18\/(-12) + 2)\/(3\/(-4)). Put 0.07, z, -3 in decreasing order.\nAnswer: 0.07, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 - 100003312011?\nAnswer: -100003312022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 - 3. Let g = -448.55 + 445.55. What is the nearest to -0.2 in f, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p + 7. Give r(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is (3\/(-6))\/((-1)\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**3 - 6*t**2 - 3*t + 5. Suppose j = -3, 62 = 5*p - 4*j + 30. Calculate q(p).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (3 + sqrt(57)\/(1*sqrt(3)))**2.\nAnswer: 6*sqrt(19) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 9*b - 48 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.3 or -29937979?\nAnswer: -29937979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -2101*p - 132319. Calculate o(-63).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 54366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 128, -10, 2, -5, 2.3, -7.\nAnswer: -10, -7, -5, 2, 2.3, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:40 AM and 1:17 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2624144 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 18*c**2 - 5*c - 5. Let i(v) = -18*v**2 + 6*v + 6. Give 5*i(m) + 6*n(m).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -1147\nAnswer: -2\/1147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -21 + 3. Let o = t + 10. Let c = -7.99993 - o. Round c to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13172416 and 1802?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 34199314*n**3 - 5*n**2 - 561067*n.\nAnswer: 205195884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*i**2 - 947*i**4 - i + 2 - 973*i**4 + 1917*i**4 to the form b + k*i + a*i**2 + s*i**4 + m*i**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17302 is divided by 346.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/(-9) + (-152)\/(-6). Suppose 5*v - q = 0, p + 32 = 2*v - 0*v. Does 11 divide 2 - -2 - p - -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 5*j + j**2 + 3*j**2 - 6*j**2 + 0*j**2. Let i(h) be the third derivative of -h**5\/60 + h**4\/8 + h**2. What is -3*b(o) + 5*i(o)?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**2 + 36*c.\nAnswer: -2*c*(c - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16911128 is divided by 436.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -10*u**3 + 0 - 1 - 25*u**2 + 2*u + 23*u**2. Let j(c) = 4*c**3 - 2*c + 1. Let n be j(1). Let b be (0\/(-1))\/n + 1. Give t(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 14621844.083 to the nearest one hundred.\nAnswer: 14621800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12090 + 16420. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/8 of a decade in months?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 827405 (base 11) to base 16\nAnswer: 144188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**2 - 3*j - 6. Let c be r(5). Solve -2*h = 2*u, -2*h - 3 = c*u - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*q - 2*q + 83418 + 428*q**4 - 83102 wrt q?\nAnswer: 1712*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5320304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u**2\/5 - 184*u\/5 - 2116\/5 = 0. What is u?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*y**2 + 0*y**2 + 145*y**3 + 77*y**3.\nAnswer: 222*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6073.88 days to minutes.\nAnswer: 8746387.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000003004 rounded to seven decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 10659170 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: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 339 = 5*g - 316. Let d = g + -59. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 2*k**2 + 8*k + 414. Give h(-15).\nAnswer: 744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 10*u**3 - u**2. Let f be s(1). Let c be 3*13*(-3)\/(-9). Let k = c - f. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/88 and 19\/66?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -111 = -3*c - 108. Is (5 - -2)*c*7 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31052385061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 294832 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add together -4041697 and 5144729.\nAnswer: 1103032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -39223478961652\/374076777151 + -6\/285772939. Let x = -1270\/119 - f. Let o = x - 94. Which is the nearest to -1\/3?  (a) -5  (b) -0.1  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88)\/sqrt(72))**2 + 0 + (sqrt(66)*1*2 + sqrt(66) + sqrt(66) + sqrt(66) + sqrt(66))\/sqrt(6) + -1.\nAnswer: 2\/9 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 + -5. Suppose 0 = -g*i + 3*i + 14. What is the greatest common factor of 35 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-7)\/(-6)*28\/49. Let x be (3\/24)\/(1*1\/(-2)). What is the closest to h in -15, x, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-5)*z\/(((z*z**(-6)\/z)\/z)\/z)*z\/(z**(-33)*z)*z\/(z\/z**(-22\/9)))**(-8\/7) assuming z is positive.\nAnswer: z**(-2560\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -209, -219, -227, -233, -237, -239?\n\"Answer: w**2 - 13*w - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2344704.69 rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -278320*k**3*l**2 - k**3*l + 2*k**2*l**2 - 27965*k*l wrt l?\nAnswer: -556640*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, 3, -2, 33, -44.\nAnswer: -44, -2, 3, 10, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 416208768 to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*o + 27*o - q - 10 = 0, 0 = 5*o - q + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1\/(-3))\/((-3)\/45). Suppose -d*l - 3 + 108 = 0. Solve -4*u - l = i, -4*u - 6*i + 3*i = 31 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -m + 26 - 26 + (-2*m - 4 + 4)*(-110 + 0 + 13).\nAnswer: 193*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (1*55\/10)\/(2\/40) is divided by 49.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -43 + 45. Sort 2\/3, 1, -2\/7, o in increasing order.\nAnswer: -2\/7, 2\/3, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 4*b**2 + 60. Let g(q) = 13*q**2. What is g(t(h))?\nAnswer: 208*h**4 + 6240*h**2 + 46800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= -7\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zhh when three letters picked without replacement from hihzxti.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k + 2*a + 30, 0*a = 3*k - 5*a - 90. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36496 divided by -407.\nAnswer: 36496\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**2 + l. Let t be q(3). Let m(h) = 78 - 78 + 3*h**2. Let d(p) = -8*p**2. Let c(f) = t*m(f) + 5*d(f). Let u(o) = -2*o. Determine u(c(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-2))\/(100\/40).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**3 - 5*k**2 + 5*k - 2. Let y be z(4). Let b = y - 9\/4. Let n = 15 - 46\/3. Sort b, 0.1, n in decreasing order.\nAnswer: 0.1, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the second derivative of -d**3\/6 - 5*d**2 - 33*d. Determine c(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 5*s = 11, -16 = -3*r + 8*s - 12*s. Let h be (-20)\/r*6\/(-5). Solve 5 = -7*g + h*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.79 - -1.21. Which is the fourth biggest value?  (a) 0.4  (b) 2  (c) u  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -x - 2*g, -6*g + 101 = 3*x - 7*g. Suppose 0 = o - h - x - 19, -o - 2*h = -45. Is 37 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 338124 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.4  (b) 39  (c) 3  (d) -3  (e) 2\/7  (f) -48  (g) 53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*(h\/(h*h\/h**(1\/14)*h*h))\/h)\/(h\/(h\/((h\/(h**(-4\/7)\/h))\/h)*h))*h*h*h**(-2\/19)*h*h**(1\/4))\/(h**(-1\/8)*h*h*h**(-1\/2))**(2\/39) assuming h is positive.\nAnswer: h**(-631\/1482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/1*(-1)\/(0 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yhtssthtsyyttzshyyyh. What is prob of sequence yyt?\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*m**3 + 40*m**2 - 181*m + 102.\nAnswer: (m - 3)*(m + 17)*(3*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2965.0716 months to millennia.\nAnswer: 0.2470893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3355, 6712, 10069, 13426, 16783?\nAnswer: 20140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/635 or 159\/74?\nAnswer: 159\/74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -11 + (18 - (2 + 10))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*y = -24*y - 20. Let d(x) be the first derivative of 4*x**y + 2*x - 24 - 2*x**5 - 2 + 7*x. Find the first derivative of d(o) wrt o.\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -289 + 291.46. Let q = -2.23 + t. What is q rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000588 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 2*a**2 + 424*a + 22472 = 0?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.81283 to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 15\/319 and -143\/174.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 + -16. Let i be (2\/t)\/((-1)\/12). Suppose -i - 2 = -b. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**3 - 4*x**2 + 3*x - 1. Suppose 10*f = -10*f + 260. Let l(v) = -2*v - 32. Let r be l(-21). Suppose -y + f = r. What is d(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 2\/11, 1, -5, -95, 149 in decreasing order.\nAnswer: 149, 5, 1, 2\/11, -5, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3976 a factor of 279300094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**3 - 2*l**2 - 3*l - 1. Let n be s(-2). Let k = -3 + n. Solve -4 = k*y - 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -36 - -80. Let y = f + -40. Suppose j - y = -j. Solve -3 = j*k - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9528 is divided by 2228.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3222 = 37*j - 7805 + 3288 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f**2 - 5*f**2 + 44*f**2)*(2 - 3 - 6) + (0*f + 5*f - 4*f)*(0*f - 3*f + 5*f)*(-2 - 3 + 3).\nAnswer: -277*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.0794  (b) 2  (c) 0  (d) 1  (e) 0.2  (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 3*h. Suppose 0 = -2*v - 2*v - 2*b - 36, -4*b - 2 = -2*v. Let x be 2\/7 + (-12)\/v. Let u(a) = a**x + a - a. Calculate p(u(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lheelhhehhhf. What is prob of sequence lee?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2242*m - 7590 = 4365*m - 2261*m for m.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2770*w - 17617*w**4 + w**3 + 4778*w + 2*w**5 + 17548*w**4 + 5903*w wrt w?\nAnswer: 40*w**3 - 828*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -40*v**3 + v**2 + v + 1. Let t be ((-234)\/312)\/(3\/4). Determine y(t).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(2 + (sqrt(833)*-1*1*3 + (sqrt(833) - (5 + sqrt(833)*1 + sqrt(833))) + 0 + 3)**2).\nAnswer: -26668 - 224*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -5*y - 15. Let h(q) = -1. Determine 7*h(j) - p(j).\nAnswer: 5*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -137, -1, 4.\nAnswer: -137, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/59?  (a) -0.2  (b) 4  (c) -0.5  (d) -2  (e) 138  (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000965671278 to 7 dps.\nAnswer: -0.0000966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 5 - 1 + 47*o + 5781*o**2 - 5760*o**2 - 1.\nAnswer: 21*o**2 + 47*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 2 + -2 - 2 - 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 7, -3.72, 0.0124?\nAnswer: 0.0124","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-3\/4)\/x**(-2)*x**(1\/11)*x**4*x**(3\/2)\/x**(-7)*x**7\/x**(-1\/6) assuming x is positive.\nAnswer: x**(2773\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventeen tenths of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2\/(-6))\/((-4)\/24). Let s(u) = 46 + 2*u**r - 46. Let o(b) = -19*b**2 + 13. Let g(d) = -9*d**2 + 6. Let a(j) = 13*g(j) - 6*o(j). Determine a(s(y)).\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.0154932us to hours.\nAnswer: 0.000000000837637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 313698 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.54213 - -0.536. Round z to four decimal places.\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19*-2*(-37)\/(-703)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 72972 and 14094?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-526144)\/(-256) - ((-5)\/4)\/(-1).\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6\/9*((-1141)\/(-2) - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5933, 21990, 48737, 86174, 134301, 193118, 262625?\nAnswer: 342822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of -37 and -21717.8202.\nAnswer: -21754.8202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 154.4 + -154. Which is the closest to 1?  (a) 4  (b) -7\/4  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (146*i - 918*i + 137*i - 310*i)*(3*i**3 - 2*i**3 - 3*i**3) to p*i**4 + v + u*i + t*i**3 + h*i**2 and give p.\nAnswer: 1890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20 - -15) + 4 + 35 - 16.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -7*r. Let d(i) = 974222*i. What is d(c(s))?\nAnswer: -6819554*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6084 by 5.\nAnswer: -6084\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2048*i + 1995*i - 18 + 8 - 21 - 10 to b*i + n and give b.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1331\/13020 + 174\/(-1305). Let o = f - 13577\/6510. Find the common denominator of o and 29\/78.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from ooooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 3, x: 2, u: 1, r: 4, e: 2}. Give prob of picking 1 x and 1 r.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15*u + 135 - 450. Let h(k) = -k**3 - 23*k**2 + 3*k - 6. Let x be h(u). What are the prime factors of 3\/21 - x\/7?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-25)\/(q\/q**(7\/3)) assuming q is positive.\nAnswer: q**(-71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -k**3 - 339*k**2 + 1368*k - 1372 = 0. What is k?\nAnswer: -343, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 132234144 - -434?\nAnswer: 132240133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = 4*d - 22, -6 = a + 113*d - 116*d. Solve -c = -2*v + 9 - a, -3 = c - 3*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the first derivative of i**5\/15 + 4*i**4 + 47*i**3\/9 + 1071. Factor s(q).\nAnswer: q**2*(q + 1)*(q + 47)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (7\/(3 - -1432))\/((-2)\/(-83)) and 44\/205?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -9*b**3*q + b**3 - 222655*b**2*q**2 - 133*b**2 - 51*b - 5 wrt q?\nAnswer: -9*b**3 - 445310*b**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 4737, 3457, 2163, 849, -491?\n\"Answer: -x**3 - x**2 - 1270*x + 6009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 0, -b - 180 = -3*a - 0*a. Let p = a + -60. Let t = 9749\/19 - 513. Is p bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*j + 0*j + 3*j + 0*j + 2*j + 0*j + (0 - 5 + 4)*(-4*j + 0*j + 2*j) + 2 + j - 2 + 45*j + 8*j - 23*j)*(4 - 13 - 3) as l*j + i and give l.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*v**2 + 12*v**2 + 5*v**2 - 45*v**2.\nAnswer: -17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 + -4)\/((-3)\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bcv when three letters picked without replacement from {m: 1, b: 4, v: 3, c: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 19764, -44 in increasing order.\nAnswer: -44, 9, 19764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-28)\/(-72))*257992\/6504?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 8\/11, 20.26 in decreasing order.\nAnswer: 20.26, 8\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1686492 a multiple of 1422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -28.1 - -29.1. Are 42\/5 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 + 4 = 2*d. Suppose 0 = -2*o - 2*l + d, -3*l + 27 - 4 = 4*o. Solve -2*j = -0*j + o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1631984?\nAnswer: 2, 101999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes before 5:32 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 * -19\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**6)\/(k**(10\/7)*k)*(k*k**(8\/5)*k)\/(k*k**(-12)*k) assuming k is positive.\nAnswer: k**(636\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d + 9. Let y be s(5). Let z = y - 2. What is the common denominator of 33\/z*(-5)\/(-20) and 33\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = b - 14, -2*g - 5*b + 1 = -5*g. Suppose -g*r - r + 40 = 0. Solve -5*h + 0 = -r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24731 - 1593 = 2281*u + 2609 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v\/(v\/(v\/(v\/(v*v\/v**(-2))))))**4\/(v**0)**(34\/7) assuming v is positive.\nAnswer: v**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**26\/(n*n*n**(-9)) assuming n is positive.\nAnswer: n**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52128 is divided by 13016?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -36 - b?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 - 2349?\nAnswer: -2345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15460933 to the nearest integer?\nAnswer: 3932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 6469031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + ((-4)\/10)\/((-4)\/60).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 69, 0.07, 3 in descending order.\nAnswer: 69, 3, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*j - 17*j + 543306 - 13212. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 161, 306, 453, 602, 753, 906, 1061?\n\"Answer: o**2 + 142*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1*((7\/21)\/1*12 + -1). Put 3, 4, w, -5, -14 in decreasing order.\nAnswer: 4, 3, w, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 114 = 1036. Let j be 8\/6 + -1 + 1582\/(-21). Let w = j - k. Does 23 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -0*i - 2*i + 4*z, 9 = -i - 3*z. Let p be 3\/(i\/(-2)) - -30. Suppose -p = -3*x + 23. Is x a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -640162, -640150, -640136, -640120?\nAnswer: -640102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/(-15) + (-76)\/(-10). Let v(o) = -o**2 + 11*o - 9. What are the prime factors of v(y)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 582, 663, 734, 789, 822, 827, 798?\n\"Answer: -o**3 + o**2 + 85*o + 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k - 14 = -6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/9  (b) -37  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**2 - 3*u + 6. Let j be l(-5). Let s = -20294 - -20294.3. What is the nearest to 0 in -0.2, 15, s, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + m = -2*n, 4*m = -3*n. Suppose -5*w - 5 = -n*w, 5*w - 54495 = 5*f. Round f to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 - (0 - -1*11). Let p be 0 + (-514)\/(-9) + (-41)\/369. Does 30 divide g\/(-4)*1216\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 26941, 108551, 244639, 435199, 680225, 979711, 1333651, 1742039?\nAnswer: 2204869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -207 and -1.8?\nAnswer: 372.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*m**2 + 9*m**2 - 5*m**3 + 8*m**3 - 2*m**3.\nAnswer: m**3 - 11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2070619347.\nAnswer: 3, 19477, 35437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63057?\nAnswer: 3, 21019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -0.1, -3, 1\/5, 0, 1\/35.\nAnswer: -8, -3, -0.1, 0, 1\/35, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -212 (base 3) in base 12?\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 175, 343, 511, 679?\nAnswer: 847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -151 + 83. What is k rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o + 2*o - o)*(-72*o**4 + 13*o - 27*o**4 - 16*o).\nAnswer: -99*o**5 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -35, -64, -105, -176, -295?\n\"Answer: -3*d**3 + 12*d**2 - 44*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**2. Let r(m) be the third derivative of 0 + 0*m + 0*m**3 - 28*m**2 - 5\/24*m**4. Determine w(r(n)).\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -118*f**2 + 2 - f - f - f + 30*f**2 wrt f.\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 819.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -1\/2, 1\/7, -230, -0.07, -7\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -50, 26, 86, 124, 134?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -50*n**3 - 9*n**2 - 3*n. Let o(u) = 2*u**2. Determine k(f) + 4*o(f).\nAnswer: -50*f**3 - f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -7*t - 5. Let x(h) = -4*h - 3. Let k(b) = 10*x(b) - 6*y(b). Let q(n) = n**2 - 2*n - 5. Let j be q(4). Let l(z) = j*z - 8*z + 7*z. Calculate k(l(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-15)\/10 - (-18)\/4. Suppose -n = f*n - 32. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1267288733.\nAnswer: 19, 43, 1087, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**2\/7 - 374675358*j\/7.\nAnswer: -3*j*(j + 124891786)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 27607024?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.4464*-0.1\nAnswer: 0.04464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 1)*(-7 + 11 + 5)*(2*r - 5*r + 4*r + (r + 2 - 2)*(5 + 1 - 4) - 2*r + 3*r + 0*r - 3*r + 2*r + 0*r + 0*r + r + 0*r).\nAnswer: 36*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-2 + (-54)\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 7*w**2 - 7*w - 1. Let g(q) = -6*q - 1. Let p(u) = -u**2. Let z(c) = g(c) - 6*p(c). Give -4*b(a) + 5*z(a).\nAnswer: 2*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**3 - 6*g**2. Suppose 0 = 4*q + q + 4*x + 5, -5*x + 40 = -3*q. Calculate c(q).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -52, 0.3, -0.5, -5\/3, -6 in increasing order.\nAnswer: -52, -6, -5\/3, -0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3626 and 2146.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 28 = -4*m, -2*p + 5*p + 5*m = 21. Let d be (p + -7)\/(-1*2). Sort -2, d, 2\/7.\nAnswer: -2, d, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -79 + 79. Let q be (-6 - (-9 + 5)) + f. Sort q, 5, -5 in descending order.\nAnswer: 5, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -273*g - 10105. What is t(-37)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 40710473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/11*-65 + 4\/(-22). What is the common denominator of (-2 + 11\/6)*(-570)\/s and 51\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 43631?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -291*s - 4894*s - 3399*s to the form k*s + m and give k.\nAnswer: -8584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {t: 5, s: 3, p: 8, k: 2, x: 2}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 132 - 102. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -17*j**2 - 22*j - 77. Let l(a) = -8*a**2 - 10*a - 38. Determine -7*l(o) + 3*m(o).\nAnswer: 5*o**2 + 4*o + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5)\/3*(-1 - 2). Solve -5*k + 18 = -5*l + 3, -k - 1 = -s*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1\/(-6))\/(-1))\/((-1)\/(-3)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 16*t - 13. Let h be y(6). Let v = h + -48. What is the third derivative of 5*k**2 - v*k**6 - k**2 + 32*k**6 wrt k?\nAnswer: -360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2174.6286 nanoseconds to hours.\nAnswer: 0.0000000006040635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -20 and 6044.\nAnswer: -120880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3175*x**4 + 9*x + 175843 with respect to x.\nAnswer: -12700*x**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2\/13, -2, -5, -0.5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3146, -3147, -3148, -3149, -3150?\nAnswer: -3151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 421929 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**3 - c**2 + 2*c - 3. Let l be y(2). Suppose -4 = -d, -2*d + 21 = l*m + 3. Calculate the greatest common factor of m and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -2, 11677.15 in decreasing order.\nAnswer: 11677.15, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 36086 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10*x**2 + 2*x + 98 wrt x.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnm when three letters picked without replacement from {b: 2, n: 6, m: 2, q: 6, c: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -36  (b) -0.02  (c) 5  (d) 2  (e) 0.1  (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 1273 = -n, -x + n + 324 = -99. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9090091*l**2 + 20*l + 20165?\nAnswer: 18180182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -24?  (a) 3  (b) 2\/3  (c) -0.2  (d) -1.144\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 20 = -4*z. Let r be ((-126)\/60)\/((-32)\/(-40)). Is z greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -426, -846, -1260, -1668, -2070?\nAnswer: -2466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -31 + 7. List the prime factors of (2\/t)\/(2\/(-48)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -97*x - 4*p + 192 = -101*x, 35 = 5*p. Which is greater: x or -50?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**3 + q**3 + q**3)*(-4*q - 5*q + 2*q) + 2*q**3 + q**4 - 2*q**3 - q**4 - 1 + 1 + (-5*q**4 + 3*q**4 + 4*q**4)*(-73 - 82 + 136).\nAnswer: -45*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-3)*9\/(-12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*t + f + 5 = 0, 7*t - 30*f - 5 = -28*f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((87480\/(-960))\/243)\/((-30)\/8)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 1209 = 2*l - 7*l, -3*u + 229 = -l. Let k be (l - 2)\/(-9)*(-2)\/(-3). Solve 6*a = k + 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 815767 is divided by 485.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 4*s**2. Let r(i) be the third derivative of -i**5\/20 + 7*i**2. What is r(c(x))?\nAnswer: -48*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.095 + -53.095. Let z = r - -52.99999968. What is z rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxaaaxxxxaxaaaaaaaa. Give prob of picking 4 a.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h + 23. Suppose 18*o + 12 = 19*o. Let j be i(o). Let l = 25 - j. Calculate the greatest common divisor of l and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17012 + -9013. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**1\/k**(2\/15))\/((k*k**(-6))\/k**0)*k\/((k**3\/k*k)\/k)*k*k**(-2\/17)*k**(1\/10)*k\/(k\/(k\/k**(-2\/23))) assuming k is positive.\nAnswer: k**(81359\/11730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -2*o. Let y(h) = -14*h + 15. Let k(u) = 21*u - 21. Let t(p) = -5*k(p) - 7*y(p). Give t(q(g)).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 + 1.9. Let q = p + -0.3. Let w be 5 - 3 - (1 - 0\/1). Does q = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17395313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 minutes before 9:47 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 5*a**2 + 2*a + 1. Let x be k(-1). Let l = 4 - x. Suppose 4*i - 2*u = 17 + 1, l = 3*i + 5*u + 6. Solve -5*v + 11 = -2*m + 4, -3*m - i*v = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.3, 38\/3, 43.2, 8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 56*d*u + 53*d + 2 wrt u.\nAnswer: 56*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 6, 1, -3, 0, -1, 98 in decreasing order.\nAnswer: 98, 6, 2, 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -2*j**2. Let t(a) = 298700*a**2. What is r(t(d))?\nAnswer: -178443380000*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 12*v + 40. Let o be f(-3). Suppose -t + 3*t + 2 = 0. What is the nearest to t in 2\/9, o, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 2*w**2 + 4*w - 18. What is i(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -491.628283 + 2.\nAnswer: -489.628283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1619*i*m + 6*i + 35985*m wrt i.\nAnswer: 1619*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 23*v - 11. Let l be t(4). Suppose -4*q + m + 322 = 4*m, q + m = l. Does 20 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16 + (-3 - 4 - 1) - 8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41603 + 224954 = 56*h - 189105. Calculate the greatest common factor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.14545 - -0.145. What is v rounded to five dps?\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 20, -5, -12, 2, -1 in descending order.\nAnswer: 20, 2, 1, -1, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes after 10:50 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.01 + 1. Let u = f - 1.99. Let j be (-2 + 1)\/(-12 - -17). Which is the closest to -0.2?  (a) j  (b) 0  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1547638 and 20548?\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of -192493926739 and 6.\nAnswer: -192493926733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.5 from -516953.2.\nAnswer: -516952.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (33\/(-154))\/(3\/(-108)) - (19 - 11).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 2*m + 2. Let c(u) = u**m + 0*u**2 + 0*u**2. Let w(h) = -6*h. What is w(c(r))?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 915 is divided by 131.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 79 a factor of 358425988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -176*j**4 - 227444*j**3 + 1763240*j**2 + 571808*j - 249600 = 0?\nAnswer: -1300, -6\/11, 1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2 - 328458*f - 3284780.\nAnswer: 2*(f - 164239)*(f + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 26933964 and 14204.\nAnswer: 1804575588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6.45 + 5. Round d to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**(-5\/6))\/g**2)\/(g**14\/(g\/(g\/g**(2\/9)))) assuming g is positive.\nAnswer: g**(-251\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 2*n**2 + 33*n - 88. Let b be o(-20). Solve -180 - b = -29*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1004*p**4 + 779*p**4 + 503*p**4)*(-5 - 1 - 2)*(1 + 1 + 1) + (-p - 2*p**3 + p)*(2*p - p - 2*p).\nAnswer: -6670*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 - 171 = 16*h - 6 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/17?  (a) -3  (b) 0  (c) 11  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 21 - 11. Suppose -6*g - k + 46 = 0. Solve o = 2, 3*l - 2*l - 4*o = -g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hthdptphdphyhp. What is prob of picking 2 p?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -30, 0.01, 0.\nAnswer: -30, 0, 0.01, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -4*k**3 + 5*k**2 + 4*k - 6. Let a(z) = -28*z + 10 + 7*z**3 + 21*z - 9*z**2 + 1. Determine -6*a(f) - 11*y(f).\nAnswer: 2*f**3 - f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 38448 by 24.\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2666508 to the nearest integer?\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*s + 5067 - 1483 = 0. What is the remainder when 230 is divided by s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the first derivative of 92*n**2 + 9*n - 7. Let l be m(3). Let g = 835 - l. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yoooyogooyoygyo. Give prob of sequence yog.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.08 - -0.12. Let f be 2\/(-60) - (-7)\/35. Sort -0.3, f, b in increasing order.\nAnswer: -0.3, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -84, -86, -78, -54, -8, 66, 174?\n\"Answer: k**3 - k**2 - 6*k - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mkwqqwwiwi. What is prob of sequence qq?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r - 8. Let x(w) = -w - 10. Let y be x(-5). Let z(v) = -v - 9. Calculate y*z(k) + 6*g(k).\nAnswer: -k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -0.398*-0.051\nAnswer: 0.020298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 9, 4, -23, -72, -143?\n\"Answer: -11*n**2 + 28*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-2\/5)\/k**(-4))**(-2\/129)\/(((((k**1\/k)\/k*k)\/k*k)\/k)\/(k\/k**(-5\/4)))**(1\/13) assuming k is positive.\nAnswer: k**(167\/860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -2\/5, -5, -1\/1116, -21?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 4\/3*(297\/90)\/(-11)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 42, 1\/2, -5\/6, 4521, 9\/5?\nAnswer: 4521","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the second derivative of -a**4\/12 + 11*a**3\/6 + 5*a**2\/2 - 3*a. List the prime factors of z(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -25*c + 46. Let s be m(5). Let u = 78 + s. What is the hundreds digit of (2 - (0 + u)) + (-1168)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 25 - 27. Let c(y) be the first derivative of 3 - 3*y**2 + 3 + 4*y**2 + 2*y. What is c(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1\/(59470\/19820 + -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5753655 (base 10) to base 5.\nAnswer: -2433104110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 104168, 104256, 104402, 104606?\nAnswer: 104868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 25471783 to the power of 1\/3, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5728805 hours to seconds.\nAnswer: 2062.3698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-4)\/(-14) - 1\/((-700)\/4035) and -57\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14 + 11 - 10 - 2*b)*(-4 - 1 + 2 + (7 + 1 - 4)*(0 + 1 - 2)).\nAnswer: 14*b + 91","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 918 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2101952265\/4048 - 519257. Find the common denominator of -45\/16 and u.\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20\/((6\/(-4))\/(105\/(-280)))*-1*-11?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3*-1*-1*(-2)\/(-21). Let k = -7\/4 + 1. What is the third biggest value in k, -5, 5\/2, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2703*d**2 + 11*d**3 - 2703*d**2)*(-d - 3 - 4 + 2).\nAnswer: -11*d**4 - 55*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3*-0.079\nAnswer: 0.237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**3 + 3*i**2 + i + 3. Let p be a(-3). Let x = -3 + -2. Let m = 8 + x. Solve -j + 0*j + m = p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the first derivative of m**3\/3 + 9*m**2\/2 - 6. Let t be s(-5). Let k be ((-14)\/3)\/(t\/(-30)). Which is greater: -5 or k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -21, -17, -1775?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -156*g**2 + 2*g**5 + 30*g**2 - 14950*g**4 - 250*g**3 + 14828*g**4.\nAnswer: 2*g**2*(g - 63)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1876, 3894, 5912?\nAnswer: 7930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 167 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -551*h + 10210 = -549*h. Suppose -2*r = 5*p - h, -4*p + 4087 = -6*r + 7*r. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 38*m**2 + m + 2. Let h be w(2). Let t = h - 48. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51215 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-8)\/6*234\/16. Let m = -20 - u. Suppose 5*c + 2 = 3*c. Which is greater: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**3 - 13*u**2 - 17*u - 47. Calculate y(14).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -8*x**2 + 26*x + 26. Suppose 78 = -2*d - 11*d. Let q(v) = v**2 - 3*v - 3. Give d*p(a) - 52*q(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i**5 + 1548*i**4\/5 - 18204*i**3\/5 + 3076*i**2\/5 + 44016*i\/5 + 21168\/5 = 0 for i.\nAnswer: -1, -3\/5, 2, 14, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 9974.601 grams in micrograms?\nAnswer: 9974601000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 28 - -5. Let n = -72832 - -72931. What is the least common multiple of l and n?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(2\/7))**(-8)\/(((q**(4\/7)\/q*q)\/q*q)\/(q\/q**(-7\/2))) assuming q is positive.\nAnswer: q**(23\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -3*a - 4 - 2*a + 4*a - 2*a. What is the least common multiple of j(-6) and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*i - 1013 = -805 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**3 - 5*u**2 + 15*u + 21. Suppose -j = -4*l + 23, -5*j - 2*l = 2*l + 19. Let x be g(j). Suppose x + 6 = 5*f. Solve 0 = -f*w - 0*w, -2*s = -w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -15 + 4*q - 16 + 16 in the form b*q + u and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 24543493?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.29 - 0.21. Which is the closest to 17?  (a) g  (b) 0  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/11?  (a) -1\/5685  (b) 65  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - 0 - 4) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gosy when four letters picked without replacement from yddgogysudod?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 2*v**2\/9 + 33162436*v\/9 + 137468395181762\/9 = 0.\nAnswer: -8290609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -669*u + 43495. Give j(65).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 34390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*b**3 - b**3 + 11*b**3 - 21*b**3 + 53*b**3.\nAnswer: 30*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s\/(s**(-11)\/s)))**(-5\/2)*(s*s*s*s**2\/s)\/s**(-36) assuming s is positive.\nAnswer: s**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - n - 5 = 10, -4*s + 6 = -2*n. What is the third biggest value in -3, -1, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the third derivative of h**5\/60 - 7*h**4\/24 + 3*h**3\/2 - 2*h**2. Let s be i(6). Is (4\/s)\/((-1)\/(-3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 249 a factor of 2033038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1368534 divided by -102?\nAnswer: 13417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**3\/7 + 1305*p**2\/7 - 189225*p\/7 + 9145875\/7.\nAnswer: -3*(p - 145)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2998*g + 2825*g + 1050 = -3448 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Is 992361 a multiple of 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**2 + 8*n + 5. Let j be x(-8). Let a be 7*(180\/42)\/5. Suppose i + 2*i - a = 5*c, -5*i + 10 = -c. Solve 4*b + 2 = -i*h - 0*b, j*h = -4*b + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 68.16 to the nearest integer.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3313251511 + 4?\nAnswer: 3313251515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 165a95 (base 11) to base 4\nAnswer: 332231202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 1 - (3 - (3 - 8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 100 + 3035?\nAnswer: 3135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q - 10. Let c be i(5). Let r(s) = 6*s + 32. Let k be r(c). Suppose k - 4 = n + o, 2 = 2*o. What is the nearest to n in 0.1, -1\/8, 2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 875188 divided by -5.\nAnswer: -875188\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -358309.88*0.4\nAnswer: -143323.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.08 + -0.02. Let p = 7 + 0. Let l be (3\/((-6)\/4))\/p. Which is the nearest to y?  (a) l  (b) -0.2  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -263 + 161. List the prime factors of 1\/((-2)\/i*3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 h, and 2 n when four letters picked without replacement from hhynynsygsnn.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70 = a + 2*t, 5*a + 4*t - 84 = 296. Let b = -264 - -186. Let c = a + b. Solve c*h + 3 = -7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/b**(-3\/13))\/b)**19*((b*b\/b**(16\/3)*b)\/b*b*b)\/b**(-7\/2) assuming b is positive.\nAnswer: b**(511\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - 4) + 1 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.5 + 5.5. Let w(r) = -r + 11. Let u be w(9). Suppose 2*g + 0*g = -u*c + 2, -2*c + 16 = -5*g. What is the nearest to 1 in g, z, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j. Let m(p) = -p**2 - 7*p - 7. Let q(g) be the second derivative of -g**3\/6 - g**2\/2 + 7*g. Let r(l) = 5*m(l) - 35*q(l). What is w(r(v))?\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:31 AM and 5:41 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 112 and 324912?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 582\/11 - 9235\/176. Let j = 479\/2 + -235. Calculate the common denominator of k and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 360*x - 6 - 7 - 1.\nAnswer: -360*x - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 55553 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 672 divide 374209920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 2*l**2. Let m(p) = 10*p + 11. Let k(d) = -2 + 2 - d - 1. Let q(n) = -4*n - 136. Let b be q(-35). Let h(s) = b*m(s) + 44*k(s). Determine h(f(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/16*2)\/((-2)\/104). Suppose 5*p - 3*u - 32 = 0, 2*u = -2*p - 0*u. Solve j + 4*t - x = 0, 2*j - p*t = -2*j - 28 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -549723826*l + 758181424 wrt l.\nAnswer: -549723826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 30 and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w - 7*w + 0*w)*(-3*w - 6 + 6)*(w**3 - w**3 + w**3).\nAnswer: 21*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 437 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 4853 (base 10) to base 11\nAnswer: 3712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - (-4 - (-7 - -8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the second derivative of 3467*u**6\/30 + 4907*u**2\/2 - 5250*u. Find the first derivative of z(s) wrt s.\nAnswer: 13868*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**2 + 3*t - 16. Let p(v) = 2*v**2 + 6*v - 31. Let d(i) = 5*a(i) - 3*p(i). Let b be d(4). Let c = 32 - b. 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 greatest common divisor of 95 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 619502 is divided by 100.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d. Let k(a) = 12*a. Let n(g) = -k(g) - 6*l(g). Let r(u) be the third derivative of -u**5\/30 + 6*u**2. Give r(n(t)).\nAnswer: -72*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j + 29. Let i be g(-23). Let n = 53 - i. Is -1\/4 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 7) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hnkkkkkkkkkknnkk. What is prob of picking 2 n and 2 k?\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -100159?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes before 5:50 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27 + (-2 + 1 - 0) is divided by (-1)\/(-1) + (-6)\/(-9)*9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*w - 3240 = 7*w. Suppose j = -4*j + w. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 181 * -805\nAnswer: -145705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*v - v + 0 + 20 = 0, 4*p = 2*v + 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(8\/10)*-2. Let m = 9 + l. Suppose h + h = 0. Sort m, -5, h in decreasing order.\nAnswer: m, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 237853 - 8.\nAnswer: 237845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1569 - 1538. Solve r*a = 20*a - 55 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -222 or -9576\/43?\nAnswer: -9576\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -165*p**2 + 45*p**2 + 42*p**2 + 44*p**2 + 37*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*x + 44*x**4 - 1 - 104*x**4 + 53*x**4 + (-42 + 42 - 13*x)*(-x**3 + 3*x**3 - 3*x**3).\nAnswer: 6*x**4 + 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-1 + -3*sqrt(13)*4 + ((sqrt(104)*2)\/sqrt(8))**2 + 1 + -3).\nAnswer: -147 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 3*r + 4*g = 48, 3*r + 3*g - 30 = 0. Let w = -276 - -280. Let o be (4\/6 - (-13)\/(-78))*w. Sort o, 5, r in decreasing order.\nAnswer: r, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: 22*(-240)\/(-192)*(-3 - (-28)\/(-20))\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z - 4*j = -2*z - 20, 0 = 4*z + 5*j - 25 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -3*m**2. Let c(y) = 3 + 80*y - 79*y - 3. Let d(x) = -10*x. Let l(u) = 6*c(u) - d(u). Determine r(l(f)).\nAnswer: -768*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00113135059 rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73721 is divided by 36834.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -188*i**3 - 168*i**3 + 437*i**3.\nAnswer: 81*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -332 + 335. Factor -15*o**g - 16*o**2 - 33*o + 49*o + 4*o**4 + 11*o**3.\nAnswer: 4*o*(o - 2)*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + 2. Let m = 34 - 29. Solve m*s = -17 - x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 2*q**2 - 55*q + 29. Suppose -4*w - 17 = -1, 5*w + 22 = 2*f. What is the lowest common multiple of i(27) and 2 + (f + 2)*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 - (-3 + (-500)\/2). Let q = b + -64. What are the prime factors of q?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -261 + 815. Let p = j + 341. What are the prime factors of p?\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vrvvrrzzvvvvcz. What is prob of sequence rr?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 s, 1 r, and 1 e when four letters picked without replacement from {s: 3, e: 3, t: 4, r: 7, m: 1}.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 8) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.2, -3\/4, -27\/2, 1?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -5*(-18)\/15*-1. Suppose -3*l = -2*g - 31, -5*l + 2*g = -2*g - 55. Let z = l + t. What is the remainder when 1 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 140 by -70.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 + 2 - 2)*(-1 + 2 - 4)*(-29*m + 112 - 112).\nAnswer: 783*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 7*p**3 + 4*p**2 + 3*p. Let y be s(-1). Let c(n) = -n**2 - 9*n - 5. Determine c(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 254*g**3 - 3*g**2 + 3. Let s(k) = -148843*k**3 + 1757*k**2 - 1757. Determine -1757*r(m) - 3*s(m).\nAnswer: 251*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**3 - a**2 + a + 3. Let x be p(-2). Let j(o) = -2 + 10*o - 10*o**2 - 3*o**3 + 4 + 2*o**3 + 0*o**3. Is j(x) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**3 - 10*n**2 - n - 6. Let b be x(-10). Solve -b*g + 22 = w + w, g - 19 = -5*w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**3 + 8*t**2 + 11*t - 3. Let q be n(-6). Suppose -i = -5, -5*i + 18 = q*w - 31. What is the greatest common divisor of 64 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) 7  (c) 15\/4  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 246705971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -6*y - 2*s - 24992, -25012 = 5*y - 3*s. What is y rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17926 is divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -2*f**2 + f + 25. Let z be x(3). Suppose -z*m - 45839 = -15*m - 3*d, 2*m - 18342 = 2*d. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = 3*a - v + 39 - 100, -2*a + 33 = -v - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*n - 46*n - 18 = -58. Solve -n*r + 5*a - 45 = 0, -4*r - r = 2*a + 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7844\/5 + -1568. What is the nearest to -2\/15 in 1, 2\/13, 3, s?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -55977 divided by 3.\nAnswer: -18659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 - -2. Let r = 9127.777 - 9124. Let q = r - -0.223. Which is the nearest to s?  (a) -0.2  (b) -8  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c**3 + 691745*c**2 + 691740*c = 0. What is c?\nAnswer: -138348, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 + -2.9. Suppose 6 = 4*n + 2. What is the third smallest value in n, 5, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 175 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes after 11:46 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -3*b + 85. Suppose 2*l = -l + b. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 37*i**3 - 59*i**2 - 249*i - 25. Calculate f(-4).\nAnswer: -2341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/30 in 3, 1\/5, -19, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k**4\/11 + 929890*k**3\/11 - 929886*k**2\/11 - 929890*k\/11 + 929888\/11 = 0. What is k?\nAnswer: -1, 1, 464944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6307447 is divided by 1288?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v + 27 = 4*h, -h + 3*v - 4 = -16 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 34084036 and 86.\nAnswer: 34084036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -470 - -478. Let q = 23 + 10. Let s = q + 55. Calculate the greatest common factor of j and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.6 + -1.7. Suppose 0 = 5*h - 2*d - 8, 5*h - 108*d + 107*d = 9. What is the second biggest value in -5, h, -2\/25, s?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 51.2 - 51.7. Sort 0.4, 19, 0, v in descending order.\nAnswer: 19, 0.4, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 + 19*n**2 + 2*n + 56. Does 11 divide j(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 16 = 2*i, 3*w = -i - 3*i + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -36.99502979 rounded to two dps?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-2) - (1 + 0). Suppose h = r - 2*r + 8. Suppose 0 = 2*i + 2*f + f - 12, -r = -2*i - f. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*s**3 - 76944*s**2 + 1000713*s - 1693626 = 0. Calculate s.\nAnswer: -25661, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -3*c + 24. Let p = -13\/6 + 3\/2. Which is smaller: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 416582?\nAnswer: 2, 208291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11, -3, -13, -19, -21, -19?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (39\/65)\/(3\/10). Suppose 4*u + k = 1597, -9*u + w*k + 806 = -7*u. Calculate the highest common factor of u and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 383*o**3 + o*q**2 + 218*q**2 wrt o.\nAnswer: 1149*o**2 + q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 16*w + 23. Let o(h) = -8*h - 13. Let v(k) = 7*o(k) + 4*u(k). Let n(i) = 23*i + 4. Determine 2*n(l) - 7*v(l).\nAnswer: -10*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 69\/(-184) + 489\/24. Solve 4*l + 24 = -4*h, 4*l + 4*h = h - s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9.7 - 10. Which is the biggest value?  (a) 1  (b) -2  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-37))**2*(h*h**(-1)*h)\/(h\/h**1*h*h) assuming h is positive.\nAnswer: h**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**2 - 3*x. Let l(c) = c. Let w be (-9)\/2*(-32)\/48. Let r(u) = w*l(u) + z(u). Let o(n) = -5*n**2 - 5*n. Determine r(o(k)).\nAnswer: 25*k**4 + 50*k**3 + 25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -39c6 (base 13) in base 15?\nAnswer: -26b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1035 - -1085.9. Let q = d - 51.2. Which is the biggest value?  (a) 1.3  (b) q  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 550\/2310 - (-4)\/(-7). Let t = 1 - 0.8. Let m = 0.1 + 0.9. Sort t, m, p.\nAnswer: p, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -1 + (3 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (9\/6)\/((33\/(-18))\/(-11)). Suppose -z*t = -11*t + 6. Find the common denominator of ((-1)\/72)\/(t + (-317)\/106) and 5\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1042*q**3 - 1977*q**3 - 11203*q**3.\nAnswer: -14222*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 18328*m**2. Let b(r) = r**2. What is g(b(z))?\nAnswer: 18328*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87 = -10*a - 1 - 82 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let 26*p**2\/9 - 1048*p\/9 + 320\/9 = 0. Calculate p.\nAnswer: 4\/13, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12\/27*(-12051)\/(-26) is divided by 36.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 115\/6 and 71\/13612748.\nAnswer: 40838244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 113\/294 and -1\/8641878?\nAnswer: 60493146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 239836 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2.947 - -2.77115. What is o rounded to three dps?\nAnswer: -0.176","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -3239, -4435, -5631?\n\"Answer: -1196*t - 2043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 3*i - 7*x - 160, 2 = -x. Suppose 4*n = w - 10 + 4, 4*w - 11 = 3*n. Let s be 76 + 3 - (6 - w). Calculate the highest common factor of i and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -4*y**3 - y**2 - 6*y + 3. Let r(i) = -3*i**3 - i**2 - 5*i + 2. Calculate -3*r(c) + 2*s(c).\nAnswer: c**3 + c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1420*k + 1764350 + 2\/7*k**2.\nAnswer: 2*(k + 2485)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 616534 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -3*x - 98, 2*x + 2*x - 70 = -2*d. Find the third derivative of -d*m**5 + 2 - 2 + 94*m**4 - 96*m**4 - 45*m**2 wrt m.\nAnswer: -2580*m**2 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1008766*j**2 - 3695*j + 388?\nAnswer: 2017532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*w - 4*w + 11*w + ((-3 + 7 - 1)*(1 - 1 - 1) + 2 + 0 + 0 - 5 + 4 + 3)*(0*w + 4*w + 2*w + (w + w - 4*w)*(3 - 2 - 2)))*(w - w - 2*w).\nAnswer: -40*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 divided by -366702?\nAnswer: -17\/122234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 - 4. Suppose 2*y + a + 3*a - 12 = 0, 5*y = 4*a - 26. Let z be -2 + 1 + (y - -5). Solve -u + 3 = z*u - k, -d*u + k = -2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(304) - (sqrt(304) - 1*sqrt(304))) + 0 + (sqrt(76)\/sqrt(4))**2) - ((sqrt(1216) - (sqrt(1216) + 1 + sqrt(1216))**2) + sqrt(171) + 0 + 1).\nAnswer: -3*sqrt(19) + 4750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 167443509.\nAnswer: 3, 55814503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**3 + 3*z**2 - 18*z + 57. Let w be q(3). Suppose 3*t + w*a - 7*a = 1981, 0 = -4*a + 8. What is the highest common divisor of t and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 6, u: 13}. What is prob of picking 1 u and 2 v?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1710?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, -24, -2\/5, 34933 in descending order.\nAnswer: 34933, 3, -2\/5, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 7*z**2 - 17*z + 3. Let h be s(-7). Suppose h = v + u - 4*u, 2*v - 3*u = 933. Is 36 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 21*j + 85*j + 2*j**2 + 54*j + 23*j as w + z*j**2 + q*j and give q.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -55152666 by 4646.\nAnswer: -11871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6, -49, -130, -249, -406?\nAnswer: -601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 94 + -88. What is the second smallest value in 4\/7, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -158*z - 167*z - 36 = -327*z + 8*r, 5*r + 21 + 34 = -15*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -145 != -289\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -42*l**2 + 2791*l + 1521. What is w(67)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 90755549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1669938983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5940 and 270.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, d: 3, u: 4}. What is prob of sequence ddd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-16 - 39 + 11 - 28)*(4*x - 7*x - 2*x)*(-8*x**3 - 12*x**3 + 16*x**3 + 2) to the form i*x**2 + k*x**3 + n*x + j*x**4 + c and give j.\nAnswer: -1440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -3104 divided by 1552?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -901*t - 221648. What is m(-246)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 55 - 130. Which is smaller: q or 46\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4\/5, 115, -16.67?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 2 = 6*m. Suppose m*x - 7*x = -215. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*p + 19*p + 0*p + 8*p)*(0 - 3 - 1).\nAnswer: -124*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4075960 and 1120?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -698 = -35*u - 873 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1247*k + 1238*k - 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 11.3129498 and 0.2.\nAnswer: 2.26258996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/(-100))\/((15\/(-25))\/(-1)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 12:07 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9.382 - 9.382. Which is the third smallest value?  (a) g  (b) 78  (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the third derivative of -983*h**8\/336 - h**6\/60 - 403*h**5\/60 + 5*h**3\/6 + 112*h**2 + 17. Find the third derivative of b(i) wrt i.\nAnswer: -58980*i**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5134966, 10269891, 15404816, 20539741?\nAnswer: 25674666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 9 - -25?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3535 and 75.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the third derivative of z**5\/20 + z**4\/12 - z**3\/6 - 4*z**2. Let y be k(1). Calculate the highest common divisor of 32 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 + (-5 - (-3 + (-21 - -11)))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5733 - 40*s + 41*s + 2792 + 2941.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0348 times 4?\nAnswer: -0.1392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 - -1)*((-4)\/8 + 3). Suppose 605 = o*l - 13*p + 8*p, -520 = -4*l - 5*p. What is the remainder when l is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 2*l + 20. Let q be d(-8). Solve -9 = q*x + 7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 - 8. Let f(r) be the first derivative of -1\/3*r**3 - 1\/2*r**2 + 4 + r. Calculate f(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 - 82*a**2 - 75*a - 347. Let l be h(83). Solve 311*d = l*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + 16 + (3 - 15) + (-22 + -10 - 0).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -2*j**2 - 2*j + 755. Is m(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 77201*q**3 - 4*q**2 + q + 2. Let h be r(1). Round h to the nearest one thousand.\nAnswer: 77000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2042 is divided by 437?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1673.69 rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 30 + -30.7. Sort 2, -1\/2, 1, h in decreasing order.\nAnswer: 2, 1, -1\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -k - 286. Calculate the greatest common divisor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**3 - 8*h**2 - 2*h + 18. Let w be y(8). Suppose -3*k = -w*d - 3 + 13, k - 4 = 0. What is the remainder when 20 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = 2*q + 5*v + 19, -10 = -5*q - v. Suppose 15 = q*i, -5*a - 5*i = -3*i - 45. Does 10 divide a - -18 - (-3)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 7*u - 17. Suppose 5*y - 5*g + 6 = 1, 5 = 3*y - g. Calculate s(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes before 12:20 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 3*i**2. Let w be s(-1). Suppose -z = -3*z + 4*y + 12, 4*z + w*y = -9. Solve z*r - r + 3 = -5*o, -r + 3 = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 4*h - 20 = 0, 45*h = -5*a + 1934 - 2094 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2193 is divided by 906.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 take away 110865506484?\nAnswer: -110865506484.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 118 a factor of 290365314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ea when two letters picked without replacement from aweewwwwweeeeewew?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o - 0*o + 5*v + 28, 103 = 5*o + 4*v. Let q be 1\/5 + o\/((-1140)\/(-408)). Solve h - 13 = 5*f - 32, 0 = -3*f - 4*h - q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2973960 times -0.23\nAnswer: 684010.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + 4514?\nAnswer: 4513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 2*d**2. Let n(u) = -u - 1. Let k be n(-4). Let z(j) = 13*j - 5. Let l(h) = -6*h + 3. Let i(w) = k*z(w) + 5*l(w). What is i(p(b))?\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -40\/21 and 13\/1167?\nAnswer: 8169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7.85 + 8. Let p = 0.15 - m. Let y = 79\/96 - 5\/32. What is the third smallest value in 4, p, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (((-32)\/(-10))\/(-16))\/(-1). Let m = 0 - 0. Suppose m = 3*k - 3*b, -6 = -k + 6*k + b. What is the third biggest value in 4, k, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4786 is divided by 339?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11718 is divided by 558?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 19631*v**2 - 10*v - 4. Let c be x(2). Round c to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 2*s. Let g(p) = 2*p. Let n(t) = -3*g(t) + 2*w(t). Determine n(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 110593775.\nAnswer: 5, 19, 23, 53, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 333, 329, 323, 315, 305, 293, 279?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/4 greater than 1\/140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.6, 6, 0.084, -2, 5, 31 in descending order.\nAnswer: 31, 6, 5, 2.6, 0.084, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes before 10:59 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - -10 - (12 + -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 96513721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 3, t: 1, u: 1, h: 6, s: 2, g: 2}. What is prob of picking 1 g, 2 u, and 1 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes before 6:23 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7156 + -3394. Let l = h - 2575. Suppose -6191 + l = -12*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/3  (b) 5  (c) -4\/145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in fifty-nine fifths of a millennium?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(228)*-3)\/sqrt(12)*1*5)**2.\nAnswer: 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1007190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 11e6 + 4?\nAnswer: 11ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/35*4300\/1290?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(95)\/(4*(sqrt(5)*2 + sqrt(5)) + sqrt(5)))**2.\nAnswer: 19\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -29 + (49 - 19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -6.13 times -4.07\nAnswer: 24.9491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 35*z - 5860 + 190. Suppose z*h - 164*h = -5*o + 5, 3*h = 0. Solve -l = -5 + o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 36 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1363483?\nAnswer: 11, 123953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 - 125?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 68\/10 + (-1)\/(-5). Find the first derivative of -q*b**3 + 5 - 6*b**2 - 3*b**2 + 9*b**2 wrt b.\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 67, 155, 245, 337, 431, 527, 625?\nAnswer: 725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 71 - 1. Suppose k = 4*i - 3*m + m, -5*m + 5 = 2*i. Let l(v) = 4*v + 1. Let a be l(1). Solve 2*f = f + 5*x - 12, -a*x = -i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k - 1541 = 9*k - 5*r, -r + 3 = 0. Let y = k - 417. Round y to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1299)\/(1 - 15\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3356 - 3402 - (-3 + 2).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -3*i**2 - 19*i + 33. Suppose -5*f - 4 = -4*a, -2*a - 424 = -4*f - 438. Determine m(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from dnokooanadnnaa.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -34 + (-36 - (10 - 30)) + 4\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + -24 + -2 + (-133 - -140)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62 + 58 + 9*n**3 + 31 - 148.\nAnswer: 9*n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 76*p**2\/9 - 129724*p - 122904.\nAnswer: 4*(p - 15363)*(19*p + 18)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*j, j - 93 = 4*a + 85. Let n = a + 53. Calculate the lowest common multiple of n and (-1)\/(-2) + 105\/6.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 15*y. Suppose -26*z + 24*z = 46. Let o(t) = t**3 + 23*t**2 + t + 30. Let q be o(z). Let i(x) = q*x - 16*x + 11*x. Give w(i(v)).\nAnswer: 30*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 4 + (1 + 13 + 42)*(3 + 0 - 4) + 0 - 46 - 8)*(-2*m - 4 + 4)*(-5 + 3 + 4).\nAnswer: 436*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 761 + -756. Solve u*m = j + 25, 2 = 3*j + 5*m - 23 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 151763473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -96825 at least as big as -96829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**4\/11 - 14*g**3\/11 - 2*g**2 - 10*g\/11.\nAnswer: -2*g*(g + 1)**2*(g + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 447*p. Let g(n) = -10*n. Calculate g(m(u)).\nAnswer: -4470*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*b - 11*b - 2*x + 8, -b + x - 4 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the first derivative of 2*a**3\/3 - 2*a**2 + a + 3. Is u(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w - 4*n + 12, 4*n - 2 = -14. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1342, 1356, 1370, 1384, 1398, 1412?\n\"Answer: 14*i + 1328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**2 - 11*k - 78. Let c be f(16). Suppose 0 = -p - c*g + g + 382, p = -5*g + 378. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 259 + -175. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7*(-3)\/42*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:23 AM and 4:01 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 + -20 - (0 + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.11 plus 5131529975064?\nAnswer: 5131529975064.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = m + 2*m. Suppose -7 - 1 = -3*z + 4*f, 0 = -5*z + m*f + 15. Calculate the remainder when 15 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 5 + 4 - k)*(4*k - 3*k + 4*k).\nAnswer: -5*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 29382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1013 (base 6) in base 7?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 50 - 42. What is the least common multiple of 20 and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16 - (-7 + 9)) + -4 + -16.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**1\/d)\/d)**(-14)\/(d**0)**(5\/11))\/((((d\/((d\/d**(-2\/7))\/d))\/d)\/d**(-6))\/(d**(1\/11)\/(d**(-3)*d))) assuming d is positive.\nAnswer: d**(799\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-69187)\/(-4893))\/((-22)\/(-6)). Let n = 197\/27 + -504965\/69201. Let a = o - n. What is the common denominator of a and 23\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20*h - 350 + 350)*(0 - 2 + 1).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p + 6 = 2*y + 7*p, 10 = -5*p for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(68) - 3*-2*sqrt(68))\/(sqrt(36)\/sqrt(81)) - (-3*sqrt(272) - (-1 + sqrt(272)))) + -2.\nAnswer: -3 + 37*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -38 - (-30 - (-39 - -80)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-five halves of a millimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 231486?\nAnswer: 2, 3, 41, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*x + x + 14. Let v(l) = -3*l - 10. Let z be v(x). What is the greatest common divisor of z and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**3 + a**2 + 3. Let y be l(0). Let d(n) = 3*n + 3. Let q(k) = -2*k - 2. Let v(u) = -4*d(u) - 5*q(u). What is v(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:57 PM and 11:38 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 331 - 329. What is the least common multiple of ((-290)\/100)\/(-1) + t\/20 and -2*(5\/(-2) - 1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2313 + 2439*h - 4867*h + 5*h**2 + 2433*h wrt h.\nAnswer: 10*h + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12871 and 4853?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -237\/4 + 59. Let y = 99 - -118. Let i = y + -216.5. Put 2\/19, 2, i, r in descending order.\nAnswer: 2, i, 2\/19, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 5 = 0, 0 = -4*p - p + 5*d + 40. Let i be (11\/(-7))\/(-1) + (-27)\/(-63). Solve 5*s - 3*m = 2*s - 18, -i*m + 15 = -p*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 - 4. Let z = f + 0. Let a(g) = g**2 - 5*g - 1. Give a(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1144601393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(132)*-1*-1)\/(-1*(sqrt(768) - -1*sqrt(768))).\nAnswer: 3*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 42 - 41. Do j and -1\/53 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0218 * 11.\nAnswer: -0.2398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**2. Let z(c) be the first derivative of c**2 + 6. What is z(g(h))?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*y + 2584 = 3*y. What is the derivative of -476 + 173 + y - u**3 wrt u?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - s + 28 = 0, -25 = -4*q + s + 3. Let c = q + -8. Put 0, -2, c in ascending order.\nAnswer: -2, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -259 - -96990330.\nAnswer: 96990071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -100 - -131. Let f(t) = t**3 - 4*t**2 + 4*t - 3. Let s be f(3). Suppose 3*c + 62 = 5*q - s*q, -2*q + w = 5*c. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-12 - 30 - 12)*(d**4 - d**4 - d**4) in the form a*d + y*d**3 + i*d**2 + p + n*d**4 and give n.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 77 - 41. Let i be (-9)\/(-3) + s - 4. What is the highest common factor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*b**3*k - 3*b**3 + 6848*b**2*k - 13*b**2 - b*k + 26544*b + 2*k wrt k?\nAnswer: -2*b**3 + 6848*b**2 - b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 4*c**3 + 104*c**2 + 100*c = 0?\nAnswer: -25, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**2 - 15*b - 12. Let l be h(-12). Suppose -5*n + 7 = -13, 4*a + 3*n + l = 0. Let f be 1*2\/(6\/a). Let i(v) = -2*v - 4. What is i(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 262597?\nAnswer: 262597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.1534*-70\nAnswer: -10.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 823838620.\nAnswer: 2, 5, 11, 317, 11813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -268.4611 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.59 - 333.6670305734?\nAnswer: -333.0770305734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 188069 is divided by 6965?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -513 = 106*g - 133*g. Put 0, -5, g in decreasing order.\nAnswer: g, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the second derivative of -u**5\/50 + 2*u**4\/15 + 13*u**3\/3 + 132*u**2\/5 - 13*u - 22. Solve p(r) = 0.\nAnswer: -4, -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45000 less than 0.14?\nAnswer: -44999.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -1 + 6344*w**2 + 2*w**3 + 2*w**3 - 6343*w**2 - w**3. What is r(2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange x + 2*x**4 + 5 - 34*x**2 + 30*x**2 - 3 to s*x + j*x**4 + y*x**2 + v + o*x**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add together -20 and -75188193.\nAnswer: -75188213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {w: 7, i: 7}.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5022*c**4 - 25*c**3 + 56797*c**2 wrt c.\nAnswer: -120528*c - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(-29)\/f*f)\/(f\/f**(-12)) assuming f is positive.\nAnswer: f**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, -3, 87, -34 in increasing order.\nAnswer: -34, -15, -3, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -35\/479468 and 20\/6026041.\nAnswer: 265145804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 180931 is divided by 6957?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**3 - 12*d**2 - 21*d + 30. What is the lowest common multiple of l(-10) and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1946 and 133996?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.2 and -63022212010?\nAnswer: 63022212010.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:46 PM and 6:18 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 861.3824 nanometers?\nAnswer: 0.8613824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41 = 5*u + 3*o, 4*u = 5*o - 9 + 27. Let j(i) = i**3 + 7*i**2 - i - 12. Let r be j(-7). Let m = r + u. Solve -a + 4 = -2*w, 4*a - m*w - 2 = -4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 3, o: 3}. What is prob of sequence cc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 441 + -284. Suppose c - 666 = -a. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11756315 (base 8) to base 3.\nAnswer: 11220201120122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4061 + 4147 - (43 + -1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 + 968*i**3 - 969*i**3 + 35*i**4 + 17*i**2 - 44*i**4 to c + z*i**2 + g*i**3 + n*i**4 + t*i and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -d - 2290, 15*c = 5*d + 10*c + 11430. What is d rounded to the nearest 10?\nAnswer: -2280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 313884622 times -2?\nAnswer: -627769244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m + 8. Let f be b(-7). Suppose i + 2*i + 18 = 3*x, -i - 12 = -3*x. Differentiate x*p - 8*p**2 - f + 10*p**2 - 3*p with respect to p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/2 - 21\/66. Let d = 5 + -2. Let l = 7 - d. What is the smallest value in l, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**2. Let j(n) = n + 7. Let p be j(-4). Suppose 0 = -5*k - 3*y - 2, k + p*y + y = -14. Let f(x) = -x + x**k + x. Calculate r(f(m)).\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 26\/10 + (-6)\/(-15). Suppose -s + c - 1 = 0. Find the third derivative of n**s + 0*n**4 + 0*n**2 + n**4 + 2*n**4 wrt n.\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 16 and 20464.\nAnswer: 20464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.4  (b) 4  (c) 2  (d) 2258  (e) -4  (f) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Express -12*f + 11315 - 47*f - 11311 as v*f + z and give v.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + 17 + -8 + -20?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o + 5*g + 4, -2*g = -3*g. Suppose -20 = 4*v, -o*k = k + v - 115. Let x = -2343 - -2356. What is the remainder when k is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from vlnsxvsdllllvldslv?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8388600*c**2 - 633*c + 11499 wrt c.\nAnswer: 16777200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oooyoooo. Give prob of picking 1 o and 1 y.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 + 11. Suppose 3*o + p + 83 = 0, v*p = 3*o + 86 + 3. Is 2 a factor of 1\/3 + o\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 18?  (a) -1  (b) -0.92  (c) 16  (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 3*j**2 - 12. Let u be g(-3). Let m(s) = 15 - u + 3*s. Let i(p) = 27*p. Calculate m(i(l)).\nAnswer: 81*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 5*z = 59, 390*z - 393*z - 41 = 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*d**3*l**3 - 11*d**3 + 2*l**3 + 70*l wrt d.\nAnswer: 9*d**2*l**3 - 33*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 - 20*w**2 + 87*w - 92. Calculate j(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1118 divided by 559?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -3*d - 17, -3*d - 14 - 23 = -5*w. Let j = 0.72 - -0.18. Let s = 3.1 + j. Which is the nearest to d?  (a) s  (b) 2\/13  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 3*p + 726, 5*p - 595 = 2*g - 2055. Calculate the highest common factor of 18 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (19 - (1 - -18)) + (0 - 3 - -75) - -13?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 127 - 95 = -4*i. Let p be (-28)\/(-7)*(-38)\/i. Is p < 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2388216 (base 9) to base 4.\nAnswer: -10331001132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*y - 3 = -8*y. Let x = 20 + y. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1472 - -1760. What is the remainder when y is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a + 21. Calculate i(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-53*s + 20*s - 21*s)*(315 + 2*s**2 - 291 - s**2).\nAnswer: -54*s**3 - 1296*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -59443, -59382, -59205, -58852, -58263?\n\"Answer: 10*c**3 - 2*c**2 - 3*c - 59448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -2*c**3 + 7*c**2 + 7*c + 3. Let i be k(-5). Suppose -i = -2*u - u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -6\/7, 205, 4?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - 21\/105)\/((-4)\/(-20))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 94\/706755 and -29\/395115?\nAnswer: 50179605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 19768103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 7863*x**3 - 2*x**2 - 982*x. Let n(o) = 15720*o**3 - 5*o**2 - 1962*o. Let y(p) = -5*h(p) + 2*n(p). Find the second derivative of y(i) wrt i.\nAnswer: -47250*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -34120335 (base 6) in base 3?\nAnswer: -1221200101212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*p - 1632 + 1092 = 0 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l + 26 - 90. Let f be (-2 - -5)*(-45)\/3. Let a = l - f. Calculate the greatest common factor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*n - 11*n = 34. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 198346240 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -3105227?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - q + 11, 0 = 3*n - q + 12 - 5. Let p = -99.994 - -100. Let i = -0.306 + p. Which is the nearest to 1?  (a) 4  (b) n  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -363, -290, -219, -150, -83?\n\"Answer: -i**2 + 76*i - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - 3*t + 576 - 614 = 0, -4*i - 182*t + 177*t - 80 = 0 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4063 + -1861. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 36*k**3 + 85*k**3 - 2*k - 42*k**3 + (k - 2*k + 2*k)*(2*k**2 + 2*k - 2*k) + 0*k**3 + 3*k**3 - 4*k**3 - k**3 - 4*k**3 + 3*k**3.\nAnswer: 6*k**3 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -138.3 in -14, 1\/10, 1, 0.3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 divided by 1599?\nAnswer: -14\/1599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -27, -7608, 0.4, 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is a9 + 12d27?\nAnswer: 12dd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 247 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes before 11:19 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 9*s**2 + 13*s - 257. Is o(21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 187419 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -197*i - 77498. What is c(-383)?\nAnswer: -2047","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 2*w**3 - w**2 - 2*w - 1. Let r be b(-1). Let c = r - -2. Suppose c = l - 2*l + 7. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = -16, -c + 19*g = 20*g + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 4*c + 151 = 0, 2*c = 5*c. Solve -160 = 9*y - q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/7216 and 57\/82494296.\nAnswer: 1814874512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*n**3\/5 + 8762532*n**2\/5 - 4044204*n = 0. Calculate n.\nAnswer: 0, 30\/13, 224678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1356359526 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the second derivative of -k**5\/20 - 3*k**4\/2 + k**3\/3 + 35*k**2 - 108*k. Let o be q(-18). What is the highest common divisor of o and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.5 times -4205834?\nAnswer: 6308751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.3  (b) 146.169  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1100101101110 (base 2) in base 14?\nAnswer: -2530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**2 - 309968*s + 24020040256.\nAnswer: (s - 154984)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 3*f**4 + 99*f**3 + 279*f**2 + 273*f + 90 = 0.\nAnswer: -30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 56 and 28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 19 and 6054977.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from eeqqhqqqeqhqheeehqq.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -721, -5880, -19897, -47206, -92241, -159436?\n\"Answer: -739*l**3 + 5*l**2 - l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4, 0.2, -5, -2\/3, -11, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 3, k: 1, f: 2, v: 1, r: 5, n: 3}. Give prob of sequence gkvn.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 4057977, 4057978, 4057979, 4057980?\n\"Answer: w + 4057976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.5 - -3. Let t = 0.682 - 0.465. Let s = -1.217 + t. What is the closest to -0.5 in x, -0.2, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + -2)\/((-23)\/(-46))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 81269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 15 = 21. Let k be 5578\/6 - s\/(-3). Round k to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -32c - a4338?\nAnswer: -a4666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15914 - 12443 + 1225 = -714*v for v.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = o - 293 + 122, 765 = 5*o + 3*w. Solve o*c - 159*c = 4*a + 4, -5*c = 2*a - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, -2, 535040, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-452)\/2486)\/(((-630)\/(-594))\/(1\/(-6)))?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -24 + 37. Suppose -3*b = 5*k + m - 46, -2*b = 2*k - 10. Suppose -3*o + k = 0, -5*y + o + 25 = -y. What is the remainder when 12 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.7 > -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 4*h = 19, -4*h = 4*g + 4 - 0. Suppose -14 - 1 = -g*u, 2*u = -j + 75. Let i = j - 42. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 2*n**3 + 2*n**2 + 5*n + 7. Let s be y(3). Let k = s + -76. Solve -6*u + 0 = k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 3*j - 1. Let n be d(-1). Let b(a) = -a**3 - 4*a**2 - a - 3. Let k be b(n). Solve g = -0*g + k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -2*m**2. Let z(d) be the second derivative of -5*d**4\/6 - 20*d**3\/3 - 562*d. Give z(h(a)).\nAnswer: -40*a**4 + 80*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 27*v - 16 + 25*v + 0*v.\nAnswer: -2*v - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 3*(-22)\/10*(10\/(-35))\/(726\/21175)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j = -7, -j = 5*m - 4*m - 10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -12681*i**3 + 18*i**2 - 18*i + 108. Let x(p) = -5072*p**3 + 7*p**2 - 7*p + 42. Give -7*c(l) + 18*x(l).\nAnswer: -2529*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/6*-81*(-35)\/3780?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2325323 by 1.\nAnswer: -2325323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -295*p - 94. Let a(j) = -74*j - 24. What is -22*a(f) + 6*y(f)?\nAnswer: -142*f - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, q: 1, r: 1, b: 1, j: 1}. Give prob of picking 1 j and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -14?  (a) 4  (b) -124\/5  (c) 3\/8  (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -48*m + 3380. Determine s(71).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the third derivative of p**5\/20 + 499*p**3\/6 + 243*p**2 + 3*p - 1. Let t(l) = 5*l. Give w(t(u)).\nAnswer: 75*u**2 + 499","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*s**2 + s**4 - 4*s**2 + (-s**2 - s**2 + 0*s**2)*(10*s**2 - 5*s**2 + 7*s**2).\nAnswer: -23*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(4\/7)*p\/(p\/((p\/(p*p**5*p))\/p)))\/(p**(2\/15)*(p**(3\/2)*p)\/p*p*p) assuming p is positive.\nAnswer: p**(-2113\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-3))\/(42\/(-54))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((-3*2*sqrt(297))\/sqrt(9))\/(2*sqrt(36)\/(sqrt(36)\/sqrt(3)))*-4 + 2.\nAnswer: 2 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -104, -201, -282, -341, -372, -369?\n\"Answer: c**3 + 2*c**2 - 110*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + 2)*(-8 - 16 + 23 + 88*p) to z + v*p and give v.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-9)*-1)\/(11\/(-132))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 69 divide 26893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 82 + -66. Round b to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 + 2)*(-j + 3*j - j) - 6*j - 5*j + 2*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 256684 is divided by 36552?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 164, 93, 22?\n\"Answer: -71*b + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 120689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0.85, -4\/11, 1\/6, -7.\nAnswer: -7, -3, -4\/11, 1\/6, 0.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the first derivative of -3*q**5\/20 + 21*q**4\/16 - 11*q**3\/4 - 21*q**2\/8 + 9*q + 907. Let t(k) = 0. Calculate k.\nAnswer: -1, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.0242  (b) -1\/4  (c) 5  (d) -5\/682\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 20.91 and 32.\nAnswer: 669.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-7) + (-180)\/(-105). Suppose -7*q + r*q = 0, 0 = -2*v - 4*q + 4. Solve 4*o + 2*b = 16, -7*b - 5 = -5*o - v*b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 303 is divided by 101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(1300) + 2)*-5)**2.\nAnswer: 2000*sqrt(13) + 130100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -8 - (-10 + 11 + -16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3996 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4 or 12945.87?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -23089\/8 - -2881. What is the common denominator of -53\/8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(51)*1)\/sqrt(3) + (sqrt(136) + sqrt(136)*-1)\/sqrt(8).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 63 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1270375?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -6*m + 3. Calculate p(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 a factor of 137360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -12608 (base 10) in base 9?\nAnswer: -18258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -58.25 in -11, -3, 2\/13?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(539) + 1)*-3 + -4 + 2*(1 + (sqrt(539) - -5*(sqrt(539) + -1))))**2.\nAnswer: -1890*sqrt(11) + 43884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 561*h**3 - 133*h + 218534 with respect to h.\nAnswer: 1683*h**2 - 133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 129569 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1193*r*t*w + 2653*r*w + t*w with respect to t.\nAnswer: 1193*r*w + w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -l**5\/8 + 11*l**4\/8 - 27*l**3\/8 - 67*l**2\/8 + 40*l - 75\/2 = 0.\nAnswer: -3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -1, -0.04, 0, -20, -4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:59 PM and 3:39 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(21)\/((2*sqrt(18))\/sqrt(6)))**2 + 5 + sqrt(28) + sqrt(7) + -4 + 0).\nAnswer: 11 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 10) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4023\/54 - 78)\/14?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 4 + 2 = 4*w, 0 = -3*z - 4*w - 17. Let g = 589.89 - 585. Let r = g - -0.11. Put r, z, -0.1 in decreasing order.\nAnswer: r, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 654 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*h + 30 - 58 + 29.\nAnswer: -26*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 776893.2 centuries to years.\nAnswer: 77689320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the third derivative of i**3\/6 + i**2. Suppose -489*x - 468*x = -907*x + 700. Let n(o) = o - 7. What is x*c(y) - 2*n(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 105.3296 centuries in years?\nAnswer: 10532.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-23)\/(-5) - (-4)\/10. Suppose -k = o - 5*o + 9, -4 = -o. Suppose -43 - k = -i*r. Solve -3*q = 2*q + r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 4*f = 6 - 1, 0 = 4*w + f - 17. Solve -8*q = -w*q + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1333 and 21887.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 146012226?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 14*(6\/(-7))\/(-3). Sort n, -0.3, 3 in ascending order.\nAnswer: -0.3, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 207.201 + -207. Let i = 0.201314 - y. What is i rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17 - 17.0055. What is l rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-seven halves of a millennium in centuries?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 152029*i**2*l + 16059475*i**2 + 5*i*l - 6*l with respect to l.\nAnswer: 152029*i**2 + 5*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2732 + 2733. Let a be -1*-2*4\/10. Are a and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1469447?\nAnswer: 7, 23, 9127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*d + 481 = -2257. Let a = d + 73. Sort -13, a, 1 in decreasing order.\nAnswer: 1, a, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1372194?\nAnswer: 2, 3, 25411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 3 = -q. Which is greater: -8\/13 or q?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -2*c - 4. Let d(b) = b + 2. Let y be d(-2). Let z(f) = 3*f - 1 + 6 + y*f. Let v(w) = -6*i(w) - 5*z(w). What is the first derivative of v(s) wrt s?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1770)\/7965*18\/230?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qcqc when four letters picked without replacement from cqccqcqcccq.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 127 is divided by 37.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8\/6*66\/44. Let i(z) = -z**2 - 3*z + 3. Let t(q) = 3*q - 2. Let r(j) = 2*i(j) + 3*t(j). Determine r(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.3 + 1.3. Suppose -4*u - 15 - 5 = -2*r, -4*r = 3*u + 4. Let c be ((-34)\/18 - (0 - r))*2. What is the nearest to c in 0.4, n, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 20895*s + 9. Let z(l) = -28*l. Calculate z(u(w)).\nAnswer: -585060*w - 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -212*r + 8*r - 1386 = 27*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9583026 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3012057287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 5*h = 2 + 51, 3*i = -4*h - 159. Let x = i - -88. What are the prime factors of x?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f + 2 + 2, 3*w + 5*f = 70. Solve j - w = -3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 541*j = -182*j - 5061 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/32?  (a) -3\/2  (b) 239  (c) 55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 2*u + 12 = 0, 4*a - 12*a + 6 = u. Suppose -1\/11*w - 1\/11*w**2 + a = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -58 + 59. Let m = j - -2. Let y be (m - (-9)\/(-3)) + 4. Solve -3*g - 2*q + y = g, 4*g + 3*q = 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes after 8:06 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -155398.\nAnswer: -1\/155398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 - -1030210?\nAnswer: 1030213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from {y: 2, j: 1, q: 1, h: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 + 7. Suppose 3*w + 4 = w. Which is the third smallest value?  (a) g  (b) 1  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 1634803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -310*p**3 - p**2*r**2 + 2*p*r**2 + 53*r**2 - 7*r + 2 wrt p?\nAnswer: -930*p**2 - 2*p*r**2 + 2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*q**3 + 108*q**2 + 480*q.\nAnswer: -3*q*(q - 40)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - (7 + 1))*2*25\/(-75)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and 13.49?\nAnswer: -40.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 16 + -15.99989. Round i to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28*48\/(-216)*9\/(-6)*-6\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11279208.66 less than 1696?\nAnswer: -11277512.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 488 - 486.96. Let k = p - -3.96. What is the second biggest value in 0.5, -0.08, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.30486 + 0.15373. What is m rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*q**4 + 28143*q**3 - 187269*q**2 wrt q?\nAnswer: -72*q + 168858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/1034953 greater than or equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/252 and -67\/12.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/(-4)*(86366\/(-6965) + 26\/2 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 36*j**2 - 8*j - 9. Let k be s(-1). What is the highest common factor of 15 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 - 0. Let z = 6.037 + -0.037. Which is the nearest to -1\/2?  (a) -5  (b) r  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 13.641 or -2\/3?\nAnswer: 13.641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*z**2 - 6465*z + 5530*z + 4914*z to v*z**2 + w + r*z and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 2 q when four letters picked without replacement from {h: 3, q: 8}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*d**2 - 7*d**2 - 4*d**2)*(-101*d + 369*d + 314*d + 4) to p + m*d + n*d**3 + q*d**2 and give n.\nAnswer: -4074","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 + 2*f**2 + 4*f + 6. Let t be 4\/6 + 26\/6. Is z(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2030 + -36577\/18. What is the common denominator of i and 69\/254?\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -249.825 + -1.275. Let h = -251 - n. Which is smaller: h or 0.15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(112) - (-2 + sqrt(112) + -5))**2.\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(600)\/sqrt(432))\/(sqrt(100)\/(sqrt(10)*-3)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s. Let f(v) = -20*v - 178*v - 50*v - 26 + 23. Give i(f(o)).\nAnswer: 248*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11*f - 17*f - 23*f**6 + 17*f**2 + 70*f**6 + 4*f + f**3 wrt f.\nAnswer: 5640*f**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (k + k - 4*k)*(1 - 2 + 2 + (3 - 5 + 1)*(3 + 2 - 3) - 3 + 1 + 3 + 22 - 7 - 8)*((-1 - 2 + 0)*(-5 + 2 + 1) - 3 + 2 + 2) to h + o*k and give o.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4232\/36 - (-4 + 128\/36). Suppose -107*l + f*l = 176. Calculate the remainder when 29 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*h**2 + 3*h**2 + 4*h**3)*(h**2 + 3*h**2 - 2*h**2) + (1 + h**2 - 1)*(2*h**3 + 3*h**2 - 3*h**2).\nAnswer: 10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.04  (b) -0.03  (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2*z**2)*(0*z**2 - z**3 + 0*z**2 + (-2*z + z + 3*z)*(-3*z**2 + 4*z**2 + z**2) + z**3 + 2*z**3 + 3*z**3) + 0*z**2 + z**5 + 0*z**2.\nAnswer: -17*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 11 - 182 = 4*a, -4*q + 4 = 0. Let u be (-14)\/a + 340\/(-14). What is u rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3089781 divided by 343309?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from aaajuazwzjj?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the third derivative of m**4\/24 + 7*m**3\/3 - 149*m**2. Let x(t) = t + 14. Calculate -6*j(v) + 5*x(v).\nAnswer: -v - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2*(-2 - (-30)\/(-4)). Let j be ((-48)\/(-15))\/(7\/(-35)). Let d = j + s. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 227*s + 14*s**2 + 21*s**2 + 42 - 262*s - s**3. What is the smallest common multiple of r(34) and 43?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -25*b**2 - 9. Let u(v) = 13*v**2 + 4. Let i(r) = r**2 - 30*r - 225. Let k be i(-6). What is k*u(g) - 4*x(g)?\nAnswer: -17*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l - 2*l = -24. Let o be (34\/(-4))\/(3\/l). Let z = o - 12. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-9 - -1)*2\/(-4). Suppose -z + 5*a + 24 - 14 = 0, z + 2*a = -4. Suppose z = 5*q - 0*q + q. Solve -y + h*y - 12 = q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -4*m**3 + 3*m. Let d(b) be the first derivative of b**4\/4 - b**2\/2 + 5. Give 3*d(h) + r(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2\/24213 + 2784491\/48426. Let a be ((-1)\/3)\/((-2)\/342). Is h smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7951.\nAnswer: 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-1\/4)*s)**(-5)*(s\/((s*s*((s**(11\/2)\/s)\/s)\/s)\/s*s*s))\/s*s*s*s**10 assuming s is positive.\nAnswer: s**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 272320\/608 - (-2)\/19 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(-2))**(-2)\/(w**(-1\/4)*(((w*w**6)\/w)\/w)\/w) assuming w is positive.\nAnswer: w**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 191569579?\nAnswer: 191569579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -4*c**2 - 5. Let r(s) = 9*s**2 + 9. Let i(f) = -5*m(f) - 2*r(f). Let h be i(3). Calculate the greatest common factor of 50 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52166 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -23*v**4 + 3*v**3 - 9*v - 2. Let j(g) = g**3 - g. Let m(o) = -2*j(o) + p(o). Find the second derivative of m(c) wrt c.\nAnswer: -276*c**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.03 and -2700.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 134 divide 3156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2 + 2*d + 9. Is v(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - 5 - i**2 + (i + 5*i - 4*i)*(-4*i - 2*i + 5*i))*(-2*i + 1 - 1) to j*i**2 + n*i**3 + o + c*i and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 38 and 1102.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 448*m + 4. Let b(h) = 457*h + 5. What is -3*b(o) + 4*j(o)?\nAnswer: 421*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -347423*f*j*t**2 - 6*f*j*t + 15*f*t**2 + 2*f*t - 48*f - 3425 with respect to j.\nAnswer: -347423*f*t**2 - 6*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 22 = -3*z, 3*z - r + 3 = -4*r. Suppose z*o + 5*j = 4*j + 18, -j + 3 = o. List the prime factors of (5 - 2) + (o - 2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/624 and -88\/273.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f - 1. Let b(t) = 85*t - 2. Determine -b(n) + 4*s(n).\nAnswer: -89*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 28\/(-182) + (-41)\/(-13). Let f be (u + (-3 - -2))\/(8\/(-20)). Let c(j) = -j**3 + 4*j**2 + 5*j - 11. What is the hundreds digit of c(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) -1237\/3  (b) 2\/13  (c) -40\/7  (d) 0  (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*s + 2*s - 2*s - 30*s**2 + 17401 - 17401.\nAnswer: -30*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 83 + -69. Let s(t) = 23*t**2 - b*t**2 - 6*t**2. Let j(f) = 10*f. Give j(s(d)).\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 4) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 14*t = 16*t - 66, -2*d + 3*t = -139. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.3  (b) -1  (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -228 + 48 = 2*p. Is -91 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -124178320 - -4.\nAnswer: -124178316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 213420 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-34874)\/(-13356))\/((-2)\/(-36)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z + 6 - 6)*(-z + z - 3*z**3)*(-4 + 3 + 2).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 641*a + 1 + 674*a.\nAnswer: 33*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 15*s - 18*s - 25, 4*c - 56 = 4*s. Solve -4*k - c + 3 = 2*w, -3*k = -5*w - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 2*s - 36 = -5*y, -2*y + 21 = 5*s. Let x be (-2)\/y + (-35)\/4. What are the prime factors of (-75)\/x + 2\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3139, 3123, 3075, 2977, 2811, 2559, 2203?\nAnswer: 1725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10670\/3 + 3468. Let h = v + 90. Factor -2\/3*m**5 + 0*m + 2*m**3 - h*m**2 + 0 + 0*m**4.\nAnswer: -2*m**2*(m - 1)**2*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - l + 0 = -11, -3*k + 25 = 5*l. Let x(y) = -2 + 2 + k*y - 11*y. Let g(i) = 2*i**2. Give x(g(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (3 - 9) - (-1 - 5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 7 - f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in l**2 + 16*l**2 - 10*l**2 + 6 + 2*l - 4*l**2.\nAnswer: 3*l**2 + 2*l + 6","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 67376056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2 or -147\/251?\nAnswer: -147\/251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 771*s*u**4 + 314*s*u**2 - s*u - 1433*s + 8*u**3 - 2*u + 44 wrt u?\nAnswer: 9252*s*u**2 + 628*s + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 9a290 (base 13) in base 4?\nAnswer: 1010032302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 138 and 4300034?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -49 smaller than -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**3 - 9*r**2 + 2*r + 10. Let o be h(-11). Suppose 15*f - 370 = o. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 206473310 to the power of 1\/2, to the nearest integer?\nAnswer: 14369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 30953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (96\/15)\/((-2)\/(-10)). Suppose -4*d = -g - 17, 9*g + 34 = 3*d + 4*g. Suppose 5*u + b = 19 + 5, w = d*u + 5*b. Solve 4*o + 0 - u = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1194591, 2389211, 3583863, 4778547, 5973263, 7168011, 8362791?\n\"Answer: 16*n**2 + 1194572*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 (base 16) in base 3?\nAnswer: 111022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = n - 3*n. Let l be n*1\/(3\/(-6)). Solve o + l = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - (8 + -8)) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-4)\/(-10))\/((-1)\/(-15)). Let n(k) be the second derivative of -k**4\/12 + 2*k**3\/3 + 3*k**2 + 2*k - 2077. Determine n(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 288386, 288372, 288358, 288344, 288330?\n\"Answer: -14*x + 288400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6*g*j**3 - 468*g*j - g - 22*j**3 - 2016*j with respect to g.\nAnswer: 6*j**3 - 468*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 19*x - 20*x - 4*a + 485, 4*x = -4*a + 1892. Let y = x + -425. Calculate the remainder when 73 is divided by y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z**5 - 236*z**4 - 2648*z**3 - 5248*z**2 + 23040*z = 0.\nAnswer: -45, -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000067413 rounded to six decimal places?\nAnswer: -0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5514 + -2942. List the prime factors of x.\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11366 is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*k + 36 = -40*k + 3*g, 49*k + g + 1024 = 0 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of 2\/3*l**3 + 2*l**2 - 3750*l**5 - 1\/12*l**4 + 0 + 0*l. Let z be m(2). Round z to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9709280 divided by 6\nAnswer: 4854640\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x\/(x*x**1)*x)**30)**(17\/5)\/(x\/(x*x**(-1\/3))*x*x*x\/(x\/((x*(x*x\/(x**5\/x))\/x*x*x)\/x)*x*x)*x*(x**(-1\/3))**(-2\/77)) assuming x is positive.\nAnswer: x**(23483\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14740*s - 12031*s + 24928*s to the form h*s + r and give h.\nAnswer: -1843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*m*y**3 + 12*m*y**2 - 12758151*m*y - y**3 + 5428*y**2 wrt y?\nAnswer: 18*m*y + 24*m - 6*y + 10856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*g**4 + 3*g**4 - 5*g**4 + (2*g + 0*g - 3*g)*(-6*g**3 + 4*g**3 + g**3) + (4*g**4 - 2*g**4 + 4*g**4)*(1 - 1 + 2).\nAnswer: 11*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1349, -3625, -7413, -12713, -19525, -27849?\nAnswer: -37685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 3 = 0, -2*d - 4 = 3*p - 2. Let l be 8\/(-6) + p\/(-1). Let g = -52\/3 - -17. What is the closest to -2 in -3, g, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(1*sqrt(1815) - sqrt(1815) - sqrt(1815)))\/(-5*sqrt(5)*-1 - (sqrt(5) + sqrt(15)\/sqrt(3))*2).\nAnswer: 66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -14105830 rounded to the nearest ten thousand?\nAnswer: -14110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -271, -653, -1123, -1669, -2279, -2941?\nAnswer: -3643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a*a**(6\/7))\/a*a*a**(2\/39)*a**26\/a*a**(-1\/14)\/a assuming a is positive.\nAnswer: a**(14653\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3517718 is divided by 7268.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 228*z - 52*z - 764 = 3284 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 14.7 + -6.7. Let p = a + -13. What is the closest to 1 in -5\/6, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k + 18 = 3*z, 0 = 6*z - z - k - 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, 5989, 373 in increasing order.\nAnswer: -34, 373, 5989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6.3 + -6. Let t = -0.28873 - 0.01127. Which is the closest to -7?  (a) q  (b) t  (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0034105815 rounded to five decimal places?\nAnswer: 0.00341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*c**4 + 4418*c**3 + 12599288*c**2 - 3150098*c = 0.\nAnswer: -1009, 0, 1\/4, 1561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 9*z - 2. Let i be g(10). What is the least common multiple of i\/10 + (-8)\/(-40) and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -104*z**3 + 48*z**3 + 47*z**3.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*u + 55*u**2 - 50*u**2 + 10*u - 12*u.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*a + 4*a + 6596. Suppose -o + 4*o = -h + a, 4*o - 2*h - 2212 = 0. Suppose 5*b - o - 819 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - 3*w + 15 = 3*s, -s - 15 = -3*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {f: 1, a: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -2*n**2 - n - 10. Let j(g) = 3*g**2 - g - 14. Let s(h) = -7*f(h) + 5*j(h). Let m(p) = -p**3 - 4*p**2 + 3*p - 7. Let q be m(-5). Is s(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-15)\/12*(-16)\/4 + 448 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*d - 4*d - 95 = 0. Suppose r = -9 - 3. Let j = -8 - r. Solve -3*l - l = j*f, -3*l + 4 = d*f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.55 less than 25?\nAnswer: 35.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.618 minus -8316?\nAnswer: 8314.382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w**2\/3 - 118960*w\/3 + 884467600\/3 = 0 for w.\nAnswer: 14870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 888 and 1824?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:15 AM and 11:59 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.163552 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33134*u**2 - u**3 - 2*u**3 + 33134*u**2.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -814941, -1629712, -2444483, -3259254, -4074025, -4888796?\n\"Answer: -814771*v - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1143 - 23015331?\nAnswer: -23020514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -176*p + 2874 = -182*p. Let z = 968 + p. What are the prime factors of z?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10 + 10. Suppose 8*v + y*v = 296. What is the remainder when 182 is divided by v?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*y**2 + 19 - 17 - 5*y**2 to the form r*y + s*y**2 + u and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h\/(h\/(h**(1\/6)\/h))*h)\/h**(-7))\/(h*h**(-7)\/h*h)**(-1\/6))**30 assuming h is positive.\nAnswer: h**215","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2299) + sqrt(2299)*-1)*1 + -3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p - 3. Let l be h(6). Let j = l - 0. Suppose o - 108 = -j*o. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 136 - 136.0809. Let o = x - 35.8191. Round o to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -3 + (13 - 7) + 9 + 11.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 20*-5\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -3*k - 19 - 28354, 16 = 2*t. Is k at least -9471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1503 and 44.217 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.52 - -3.8. Let u = t - 1.2844. What is u rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -24*p**3 - 10*p**2 + 5*p. Let y(a) = 23*a**3 + 11*a**2 - 4*a. Let t(o) = 4*x(o) + 5*y(o). Find the third derivative of t(r) wrt r.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -114418.3 and 5.\nAnswer: -114413.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -171*z. Let m(n) = -37*n. Calculate f(m(i)).\nAnswer: 6327*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 5*q - 72. Is 6 a factor of j(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**2 - 2*u - 2. Let w(c) = -11*c - 341. Let y be w(-31). Give g(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4.2 * 641321.6\nAnswer: -2693550.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 3*q - q - 36, -2*q - 6 = 0. Let r = -9 + l. Suppose -5*k = 2*i - 46, k - 3*i = 3*k - 14. What is the greatest common divisor of k and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2 - (0 - 1))*-2. Let u = 1283\/3 + -425. Which is smaller: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 19 - 4\/((-4)\/(-1)). Solve 2*h = -t - 2*t - 8, -h - 5*t - x = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4112 and 113722500.\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 131891209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2 - v + 2. Let o be u(0). Let h = 1 + o. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5673 - -13372.\nAnswer: 19045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 3*g - g + 12 = 0, 3*k + 5 = -2*g. Suppose r + k = -2*b + 3, 0 = 2*r - 3*b - 25. Solve -7 = -4*x + 3*n + 3, 3*x - r = 2*n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**3 + 4*h**2 - 4*h + 11. Let j be v(-5). Let i = j + 0. Factor 16*r**2 - 5*r**2 - i - 2*r**2 - 4*r - 7*r**2.\nAnswer: 2*(r - 3)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 1\/20 of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/(-5) - 224\/(-20). Let m(v) = -v**3 + 12*v**2 - 12*v + 12. Let a be m(b). Solve 0 = -4*r - 4*j + 8, 5*r - a = -3*j + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 2\/1688636041?\nAnswer: 2\/1688636041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - ((-473)\/66 - (-5)\/30).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -391*c**4 - 61*c + 1?\nAnswer: -4692*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.25, 6, -0.5, 0.5, 4 in ascending order.\nAnswer: -0.5, -0.25, 0.5, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -56, -671, -2318, -5507, -10748, -18551?\n\"Answer: -85*q**3 - 6*q**2 - 2*q + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 40019, 160091, 360217, 640403, 1000655, 1440979?\nAnswer: 1961381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 90\/2737 or -1?\nAnswer: 90\/2737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 497 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 50 = -3*o, -5*o + 3*o = 4. Let a be k*(-3)\/12*-2. Suppose a*v + 88 = 15*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -22419 < -2085046\/93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 91368320 divided by -234880.\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -107364, -107276, -107132, -106932, -106676, -106364?\n\"Answer: 28*b**2 + 4*b - 107396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 55*j - 29*j. Solve -16*n + 22 + 10 = j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -13*g**2 - 76*g + 15. Let a be h(-6). Let y(v) = 5 - 5*v**3 + 37*v**2 - 34*v**2 + 6*v**a - 1. Determine y(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*n = -5*y - 90, -77*y + 82*y = 4*n - 45 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 2\/125 of a millisecond?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40190073 is divided by 314?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -2*a + 23, a - 2*t - 3*t - 15 = 0. What is the greatest common factor of a and 105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8377 + -8382. What is the third biggest value in -0.4, -1\/3, x, -12\/11, 8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ac when two letters picked without replacement from {c: 2, t: 11, w: 1, a: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 68 + -66. Solve -5*s + 2*t + 2 = 0, -q*t + 4 = -4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 502*k - 507*k - 25 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, h: 5, f: 7, p: 1, w: 1}. What is prob of sequence fjh?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1  (b) 3\/7  (c) -3\/2  (d) 1\/3  (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -375498000 rounded to the nearest 1000000?\nAnswer: -375000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3221\/22 or -145?\nAnswer: -3221\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 757768641.\nAnswer: 3, 7, 36084221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/(-15) - 2112\/(-2310)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 6*(-1*sqrt(176) - sqrt(176))**2 + 4 + 5.\nAnswer: 4237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*x**5\/2 - 423*x**4 - 38460*x**3 - 1137945*x**2 + 76923*x\/2 + 1138368 = 0. What is x?\nAnswer: -128, -77, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 + 58a2?\nAnswer: 58a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1808948.\nAnswer: 2, 137, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the third derivative of d**6\/40 - 3*d**5\/10 + 3*d**4\/2 - 4*d**3 - 11*d**2. Factor g(h).\nAnswer: 3*(h - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 8*u**2 - u - 7. Let n be a(-3). Round n to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 22082936 or 22082935?\nAnswer: 22082936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 1 = -2*x. Let r be (-10)\/(-2) - (2 - x). What is the second derivative of 2*s - 3*s**r + 5*s**4 + 0*s wrt s?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49577113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 2*m + 18 = 0, 5*v - 175 = -4*m - 148 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -108 divided by 54?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -7\/6  (b) 4  (c) -5  (d) 0.2  (e) 160\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.8313 + 0.5313. Which is the nearest to 0.04?  (a) -2\/9  (b) 0.09  (c) 3\/4  (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 - -10. Suppose -4*n = a, 5*n = 6*h - h - 60. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -102694*-28\nAnswer: 2875432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**2 + 5*p - 3. Suppose 5 = 2*x + 5*s - 8, x - s + 11 = 0. Give v(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 7, d: 1, s: 1, n: 4}. What is prob of picking 1 n and 2 r?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from djpjihiv. Give prob of picking 1 v and 1 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 41187 + -29591. Is 46 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 183, 796, 2061, 4176, 7339, 11748, 17601?\nAnswer: 25096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14247 or -24777?\nAnswer: -24777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = 4*a - 16. Solve 0*g - 16 = a*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 163 smaller than 278407\/1704?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 663866 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 41 or -9?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1106 - -16652?\nAnswer: 15545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**3 + 5*p**2 - 18*p - 15. Let c be z(-7). Suppose c*s + 7*s - 20 = 0. Sort 7, s, 0 in decreasing order.\nAnswer: 7, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 216593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 194236 and 211083?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2412 - -4115?\nAnswer: 6527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13235*l = 22705*l + 921966 - 1439957 - 2105629 for l.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 + -0.9. Let c = -4 - -3. Let r = q + c. Is r equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**3 + 6*b**2 + 2*b + 4. Let z be (1\/(-1))\/((-23)\/(-2461)). Let n = z + 101. Calculate r(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 96824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*s + 20*s**2 - 5 + 5 - 26*s**2 to t*s**2 + o*s + v and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (9\/2)\/(3\/64). Let p(j) = -j**3 + 13*j**2 + 30*j + 12. Let k be p(15). Let y be (-40)\/10 - k*(-4)\/3. Calculate the highest common factor of y and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the first derivative of -160*q**4 + 5*q**3\/3 + q**2 - 2*q - 46. Is t(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + -473?\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 698222.89929 + -698216. Let v = c - 6.9. What is v rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1407?\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -60*w + 72 - 258*w + 69 - 141 to m + j*w and give j.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s*s**(-3\/31))\/(s**(1\/8)\/s*s*s)*s\/s**(-9)*s*s*s**18 assuming s is positive.\nAnswer: s**(7633\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v - 6*p + 3 = 0, -v - 109*p - 25 = -2*v - 119*p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -39\/16 and -1\/70.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -620 - -620. Suppose -16 = 2*t + u + u, -5*t + 2*u - 19 = 0. Let l be (8\/(-50))\/((-2)\/t). Do c and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1067, 2129, 3187, 4235, 5267?\n\"Answer: -f**3 + 4*f**2 + 1057*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/2, -92, 0.502?\nAnswer: 0.502","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2112239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(2*(sqrt(2) + sqrt(8)\/sqrt(4))**2 - ((sqrt(2) - -1*sqrt(2)) + -4)) - (sqrt(1250) + -6*(sqrt(2) + 1))*-2.\nAnswer: -112 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.0149 + 99.0149. Which is greater: 4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 1414 = -4*m, 5*j + 1426 = 4*m - 3*m. Let g = 465 - j. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange c - 4*c + 4*c + (-4*c + 2*c + 3*c)*(430 + 137 + 263) + 0*c + c + c + (-4*c + c + 4*c)*(-1 - 4 + 0) to the form x*c + m and give x.\nAnswer: 828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 115\/1157114 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93*f + 91*f + 2798 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*f + 2*f**2 - 2*f**3 - 16*f - 12*f**2 + 4 + 16*f in the form c + p*f**3 + v*f + g*f**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -47 - -52. Suppose -11 = i*v + 4. Suppose 0*t = -2*t + 8, -4*t + 6 = -2*z. Which is the smallest value?  (a) -1  (b) v  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 19890 and 7956?\nAnswer: 39780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x = -4*b + 8, -x + 27 = 31 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-46)\/(-8) + 18\/72. What are the prime factors of 21 + -6 + k + -1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) -2.8  (c) 3\/133\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -111614 in -6\/11, 3, -1\/6?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.87087377 rounded to 4 dps?\nAnswer: -1.8709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 2 p when three letters picked without replacement from qpkqpd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 370880 to the nearest ten thousand.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -64435.8*0.71.\nAnswer: -45749.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 51825883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -4*o**3 + 2*o**2 - o + 4. Suppose 3*k - 11 = 4*w, w + 2*w - 4*k = -3. Let y(q) = -8*q**3 + 5*q**2 - q + 9. What is w*i(b) + 2*y(b)?\nAnswer: 4*b**3 + 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -502 - 290 = 65*a + 8 - 85 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -29, 1, 4, 0, -16.\nAnswer: -29, -16, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 9 + -2 - ((3 - 9) + 11)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*j - 64 = -64. Let u(n) be the third derivative of -1\/105*n**6 - 1\/245*n**7 + 0 - 1\/210*n**5 + j*n**4 + 0*n**3 + 11*n**2 + 0*n. Solve u(a) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1988*i**3 - 78 + 78.\nAnswer: 1988*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r - 18 = 5*f, -66*f + 11 = 4*r - 71*f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes before 11:02 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:13 PM and 11:24 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 29, 1\/10, -7\/19 in descending order.\nAnswer: 29, 1\/10, -7\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 32 - 123 + 12*s - 4*s**2 + 5*s**2. What are the prime factors of k(-28)?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9*d**5*n - 8*d**5 + 3*d*n - 118*d wrt d.\nAnswer: -180*d**3*n - 160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 18*u + 80 - 10 + 3*u + u**2 + 24. Calculate the remainder when 27 is divided by b(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 217 - 216. Sort -3, -2\/11, j in ascending order.\nAnswer: -3, -2\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24758?\nAnswer: 2, 12379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (89 - 104) + 23 + 16\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -124099960*r**4 + 176080992*r**2 + 2 wrt r.\nAnswer: -2978399040*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -101*w + 84 = -98*w - 2*k, -42 = 7*k. What is the smallest common multiple of 24 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 34.561371 to two dps.\nAnswer: 34.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 45 (base 9) to base 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**1*s*s)**(-15)*(s**(-2)*s)\/s**(-4))\/((s**(-5)*s*s*s**(-1\/8))\/(s**2*s**1\/s)) assuming s is positive.\nAnswer: s**(-415\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 6\/25 of a kilometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*l + 255 = 7*l. Let r be 0\/(2 - l\/(-3)). Solve r*y - 4 = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 55525106 + 0.1775.\nAnswer: 55525106.1775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.1 or -0.33?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add 207.48 and 0.043.\nAnswer: 207.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -313*v + 937*v - 311*v - 317*v. Let n(m) = 8*m**2 + 43. Give t(n(w)).\nAnswer: -32*w**2 - 172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**3 - 251*c**2 + 2295*c + 394. What is k(9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1033.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*s - 2093 = 1560. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 2300*y + 74708. What is v(-32)?\nAnswer: 1108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 2*y - 6)*(y + 1 - 1)*(-y + 3*y - 3*y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-3)\/(-1))\/((-6)\/(-40)). Let z(h) = h**3 - 23*h**2 + 80*h + 22. Let v be z(21). Calculate the greatest common factor of v and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (34453\/2)\/(-7 - (-180)\/24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - 3 - 9) + 24\/(1440\/380).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -y**2 + 57227 - 201*y**4 + y - 57229 + y**2 in the form v*y**3 + t*y + s + f*y**4 + w*y**2 and give f.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence prp when three letters picked without replacement from {p: 3, r: 2, w: 8, f: 3}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-2\/3))**7\/((k\/k**(-9))\/(k\/(k\/(k\/(((k\/(k*k**(2\/25)*k))\/k)\/k*k))))))**40 assuming k is positive.\nAnswer: k**(-6952\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6*(92\/3 + -3). Suppose -174 = -2*q - d. Calculate the remainder when 39 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-3 - 104\/4)*-1?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**2 + 24*w - 880. Let m be v(20). Let x(u) be the third derivative of 13\/6*u**3 + 7\/12*u**4 + 0 + m*u + 24*u**2. Differentiate x(d) wrt d.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a**3 - 4*a**2 - a**3 - 9*a**2.\nAnswer: -2*a**3 - 13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/119*(-7)\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(462)\/sqrt(275) - sqrt(294)\/sqrt(252))\/(sqrt(384)\/sqrt(4) + sqrt(48)\/sqrt(2)))**2.\nAnswer: 64807\/32400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*b*d**4 - b*d**2 - 11*b*d + d**6 + 2*d**5 - 5*d**2 wrt d?\nAnswer: -144*b*d + 120*d**3 + 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.15 and 400?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) -60  (c) -2\/7  (d) 26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11257?\nAnswer: 11257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -4 + 0*y**2 + 0*y**2 + 4*y**2 + y**3. Let b(l) = -l + 1. Let k be b(4). Calculate the smallest common multiple of 2 and v(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 44 + 13?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -57 - -64. Let m(c) = -5*c - 8. Let b(t) = 2*t + 4. Let x(v) = v**3 - v**2 - 2*v + 1. Let y be x(-2). Let r(o) = y*b(o) - 3*m(o). What is r(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 24, 2345, 9274, 23115, 46172?\nAnswer: 80749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d + 5*a + 21, -4*d - 4*a + 2*a = 14. Suppose 5*g = -g - 30. Let o be ((-42)\/105)\/(1 - (-14)\/g). Which is greater: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9585\/1278*(-7)\/((-700)\/(-792)))\/((-6)\/10).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together -6526172 and -258.\nAnswer: -6526430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*b - 29*b + 4401 = 0. Let x = b + -465. Calculate the highest common factor of 312 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -7*q**2 + 5*q. Let j(z) = -2*z + z**3 + 0*z**2 + 1 + 2*z - z**2. Let k be j(2). Let r(u) = 3*u**2 - 2*u. Determine k*r(v) + 2*c(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3 - 18*x**2 - 37*x - 5. Let n be o(20). Calculate the greatest common factor of n and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 117 + 8. Let s = -125.00000111 + x. What is s rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-162)\/(-4) - 1\/2. Suppose 0 = -a + 2*d + 11 + r, 3*d = 0. What are the prime factors of a?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(8)*-1 - sqrt(8)) + sqrt(8) + sqrt(8) + 3 + sqrt(72).\nAnswer: 3 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2316 rounded to two decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 226, 0.01, -5 in increasing order.\nAnswer: -5, 0.01, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2159, -4224, -6279, -8324, -10359, -12384?\n\"Answer: 5*w**2 - 2080*w - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are -4\/90013 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 120 = -2*o, 2*t - 3*t - 4*o = -75. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/7400 and -123\/4070.\nAnswer: 81400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1610 less than -574802?\nAnswer: -576412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**3 - 7*p**2 + 2*p + 8. Suppose 4*y = d - 22, -5*d - 5*y + 5 = -5. Let k be v(d). Let t = 28 + k. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -73*v**3 - v**2 + 9*v - 9. Calculate g(1).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -78*j**2 - 1033*j - 1163. What is p(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -2*b**2 - 5*b - 60. Determine z(-5).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6577 is divided by 87.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 666316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = -13*v + 12*v - 13, -4*v - 2*l - 24 = 0. Put -4, 131, -2, v in ascending order.\nAnswer: v, -4, -2, 131","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -46\/7 and 27\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 equal to 0.049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1059*d - 1028*d + 124 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9245275547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.7 + 0.3. What is the third biggest value in -2\/13, 3\/7, 1, f?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 4, -17, -1 in ascending order.\nAnswer: -17, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(125) + sqrt(125) + (sqrt(125) - ((sqrt(125) - (0 + sqrt(125))) + sqrt(125))) + -5 + sqrt(125) - sqrt(125)))**2.\nAnswer: -2500*sqrt(5) + 13125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**3 + 13*v**2 + 25*v + 577. What is q(17)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*f = -10 - 116 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.08, -196, 15 in ascending order.\nAnswer: -196, 0.08, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r - 2*r + 2*r)*(-r**2 + r**2 + 3*r**4) + 2 - 2 - 2*r**5 - 34*r**5 + 10*r**5 + 8*r**5.\nAnswer: -21*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 187812 by -6.\nAnswer: -31302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -13967 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p**3 - 9250*p**2 + 20776*p - 4616 = 0. What is p?\nAnswer: 1\/4, 2, 1154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 4*n = 5*a + 50, 0 = 4*n + 12. Let y = a - -13. Is (91\/14 + y)*23*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 3*y - 64 = g, -3*g + 94 = 5*y. Let z = g - 28. Calculate the remainder when 4\/((-32)\/(-130)) + (-95)\/76 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 60\/2081 - -37038\/14567. Let 0*l + k - 2\/7*l**2 = 0. Calculate l.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -49*u**3*y**3 + 1306*u**3*y - 1665*u*y**3 + 40*u*y wrt y?\nAnswer: -294*u**3*y - 9990*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18998 divided by 413.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*(-16)\/24*(-2)\/(-8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 - ((-72)\/(-168))\/((-2)\/14).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 + 2*q. Suppose 2 - 16 = 2*m - 4*f, 9 = -m + 3*f. Calculate t(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**3 - 157*q**2 - 1199*q + 8807. Determine f(164).\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 2, 7, 18, 35?\n\"Answer: 3*t**2 - 4*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6209180*z**4 + z - 556528?\nAnswer: 74510160*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -69*p**3 - 4*p**2 - 9*p - 23. What is the thousands digit of f(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3872196961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13 - -141\/11. Suppose 0 = 3*x + x - 12. Let w be (x\/4)\/((-252)\/96). What is the closest to w in i, 3\/7, 2\/19?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 + 3 + 3\/3. Sort -2, 2, d.\nAnswer: -2, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2646 and 2844?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 0*a - 580 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -3  (b) 7.63  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -316051  (b) 17  (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 6 divided by -78\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 161 and 161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttx when three letters picked without replacement from xxxxttxxxxtttx.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 2*s**2 - 4*s - 1. Suppose -3*h - h = -36. Let b be (6\/h)\/((-2)\/15). Let v = b - -8. Give y(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, i: 1, n: 1, j: 1, f: 1}. What is prob of picking 1 n and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -22*d - 46 + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 93365104800 to the nearest one million.\nAnswer: 93365000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the third derivative of j**7\/1050 + j**6\/600 - 11*j**5\/150 + 11*j**4\/30 - 4*j**3\/5 + 140*j**2 + 15. Factor u(d).\nAnswer: (d - 2)**2*(d - 1)*(d + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 2*r + 3*d, 0 = 159*d - 163*d + 4. Suppose 0 = -0*p + 3*p - 9, -15 = 3*t - 5*p. Sort t, 4, -4, r.\nAnswer: r, -4, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 628816141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o - 2*o + o)*(1 + 0 + 0) + 2*o + 4*o + 5*o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -8*f**2 + 12*f. Let y(u) = 9*u**2 - 13*u. Suppose -a + 4*a = 18. Let w(g) = a*q(g) + 5*y(g). Find the second derivative of w(o) wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63837735.\nAnswer: 3, 5, 13, 269, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -cf + 1?\nAnswer: -ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 301, 295, 277, 241, 181, 91, -35?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1348*(-68)\/32*2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 19582547 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 3 = -5*u, -64*u = 22*o - 69*u - 17 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the second derivative of -x**7\/1680 + x**6\/72 + 11*x**5\/240 - x**3\/3 + 13*x. Let h(m) be the second derivative of w(m). Factor h(y).\nAnswer: -y*(y - 11)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6682480?\nAnswer: 2, 5, 7, 11933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10703 or 10704?\nAnswer: 10703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = c - 14, 25 = 5*c - 4*p - 51. Let h be (3 - -2)*c\/(-40). What is the units digit of (h\/8)\/(-1)*116?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 149 + 108. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 3*y**2 - 6*y - 1. Let f be 9\/15*(3 + (0 - -2)). Let o be v(f). Calculate the highest common factor of o and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -60711903 and -60711909 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 465*n**2 + 129*n + 1. Is v(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -70 - 1 - (-66 + -80 - -117).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**3 + 2*z**2 + 1. Give a(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -79140.133 plus -575?\nAnswer: -79715.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1004, 4011, 9024, 16043, 25068?\n\"Answer: 1003*j**2 - 2*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 35, 60, 69, 56, 15, -60, -175, -336?\n\"Answer: -t**3 - 2*t**2 + 38*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -125*l - 1137. Give t(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 14956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, j: 1, i: 1, a: 1, d: 1, z: 2}. Give prob of picking 1 z, 1 d, and 1 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -6  (b) 0.2  (c) -1.3  (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78*w - 27*w + 62784 = -12711. What is the remainder when w is divided by 146?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (8 + -3)*(-4)\/(-10). Let d be (q\/5)\/((-1)\/(-5)). Suppose v = -d*b + 3, -3*b + 2*v = -4 - 4. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 692.8628 minutes to seconds.\nAnswer: 41571.768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/2  (b) 7  (c) 0  (d) -1  (e) -10437\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = b - 5*b - 5, 0 = -4*q + 5*b - 5. Suppose 5*r + q*m - 226 = m, -r - m + 46 = 0. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*w + w + 4*w - 3*w as z + a*w and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 20*x**2 + 8*x + 11. Let m(t) = t + 1. Let d(o) = -2*i(o) + 18*m(o). Find the second derivative of d(g) wrt g.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -24057\/14459 + 9\/1522. What is the common denominator of -57\/4 and f?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 91707 = -3*r, 3*r + a - 4168 = 87557. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 250 is divided by 222?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 5+-764\nAnswer: -759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*s**3 - 28750566*s**2 - 44557485 with respect to s.\nAnswer: 6*s**2 - 57501132*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**2 - v + 1. Let i = 19614 - 19494. Let a(b) = -36*b**2 - 60*b + 60. What is i*o(w) - 2*a(w)?\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -4*w - 184. Let q be s(-48). Solve -34 = -q*x - 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4430078 + 0?\nAnswer: -4430078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {u: 17, t: 1}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**3 + 4*v**2 - 3*v + 7. Let t be (0 + 4\/(-5))\/(26\/130). What is g(t)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d**3 + 2*d**3 + 0*d**3)*(72*d - 11 - 35*d - 38*d).\nAnswer: d**4 + 11*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*c = 18*c - 16. Sort 1, c, -10, 0.\nAnswer: -10, c, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34059983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 14 = -2*a, 56*a - 54*a - b = 9. Solve 8*d - 5*d = -a*j - 8, 6 = -j - 2*d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - (1 + -5)) + -214 + 215.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -6 - (1 + -1 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 9 = 3*m, 45*m - 52*m + 246 = -89*m + 6*c - 10*c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**2 + 2*z - 3. Let k be s(-4). Suppose -k*y - w = -276, 6*y = y - 4*w + 279. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2)*r**(-2\/33)\/r*r*r\/(r\/r**(-5))*(r\/(r\/r**5))\/r)**8 assuming r is positive.\nAnswer: r**(-808\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 22963, 45918, 68871, 91822?\n\"Answer: -h**2 + 22958*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -64 - -88. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7690\/198402)\/(10*3\/(-54)).\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2122451126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 8\/(-20) - (-1143)\/45. What is the highest common divisor of r and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 2*t**2. Let s(l) = -37092*l. Give s(r(q)).\nAnswer: -74184*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 17*z + 38. Calculate q(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.222538381 to three dps.\nAnswer: -0.223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-21*m + 31*m + 17*m)*(-1 + 3 - 5)*(-3 - 4 + 1) in the form o*m + l and give o.\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 8 = 2*m, -4*a + 164 = 148. Solve m = 5*x - 9*x - 5*p - 21, 19 = -x - 4*p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.491639 - 5.018\nAnswer: -4.526361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4 - 6) + (0 - -4). Suppose 0 = -f + 2*h + 4, 3*f - 6 = -2*h + 5*h. Suppose -j*x + 112 - 42 = f. Solve 4*t - c = 2*c + x, -3*c = 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 170*o - 126*o - 356532. List the prime factors of o.\nAnswer: 3, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 7*o = 539. Let m(a) = a**3 + a**2 - 3*a - 4. Let n be m(-2). Which is bigger: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the second derivative of 3*k**5\/4 + 9*k**4\/4 + 2*k**3 + 5*k. Factor y(i).\nAnswer: 3*i*(i + 1)*(5*i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 274538 is divided by 91414?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3672224372 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-117)\/3120)\/(408\/(-60928)).\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -2422*v - 35. Let p(b) = -269*b - 4. What is -4*a(g) + 35*p(g)?\nAnswer: 273*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*n + 29 = 107 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 7 - 16)*(1528 - 1528 + 93*j)*(-3*j + j + 0*j).\nAnswer: 2418*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8*-7.9069729.\nAnswer: 63.2557832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2602*v - 3 + 2600*v - 3 + 6.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -3*k - 2*k. Suppose -2*f = 4*s - 296, k*s - 355 = -5*f + 385. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 24 = 4*c, -5*o + 2 + 18 = 0. Let t(v) = -16*v + 47. Let g be t(4). Sort -2, -1, c, g.\nAnswer: g, -2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -10625*r - 658751. Give i(-62).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-89)\/(-44) + 7\/28. Let k = 5\/22 + o. Suppose -4*q + 0 = -8. Is q less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*y + 20 = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -670d (base 15) to base 4\nAnswer: -11111032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.39 + -0.19. Let p = -16.5 - 2.5. Let c = -19.02 - p. What is the third biggest value in 2\/13, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -20*x + 3. Let u(k) = -2*k - 1. Give -p(f) - 6*u(f).\nAnswer: 32*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -37783.576 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 622767179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 8062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 133*m + 120*m + 117*m - 385*m.\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2*(-18)\/(-8)*2. Let f = -6 + 42. What is the highest common divisor of f and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-28)\/35)\/((-4)\/130). Suppose t = -2*h + 72. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 1505*j**3 - 3*j + 3. Is z(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-175)\/630)\/((-65)\/12)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5154010*h**2 + 434308*h - 4.\nAnswer: -10308020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -162*m + 314*m - 159*m + 434 = 12*j, 2*m - 4 = 0 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*c - 717 + 423 = 0. Solve -2*b - c = 5*t, -16*t + 19*t + 3*b + 9 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/17, 2\/15, 2.86 in ascending order.\nAnswer: -2\/17, 2\/15, 2.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (1 + -3 - -6) + 76\/(-18)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**4 + a**3 + 2*a**2 + 2*a - 1. Let x(u) = -u**4 + u**2 + u + 1. Let c(l) = -i(l) + 2*x(l). Find the first derivative of c(t) wrt t.\nAnswer: -12*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 + 11 - 2*u)*(-2*u**2 + 0 + 0).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y + 6*y**3 - y + 0 - 1. Suppose 4*h + 1 = -3. Give x(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 370 = -5*w - 13*i, -127*w + 2*i = -130*w - 48 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2414262 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 57110 is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -10*p**2 + 34*p - 58. Let w(t) = 4*t**2 - 14*t + 23. Calculate 5*m(n) + 12*w(n).\nAnswer: -2*n**2 + 2*n - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f - 59 = -24 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 193935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -5*b**2. Let m(v) = 6*v**2 + 10*v + 10. Let y(s) = 2*s**2 + s + 1. Let h(p) = -m(p) + 10*y(p). Calculate h(i(j)).\nAnswer: 350*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kqqnknnlmpnnqnpnp. What is prob of sequence nppk?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.03 in -0.366, -4, -0.5, -5?\nAnswer: -0.366","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 + 1 + (-35 - -61)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -4*1558\nAnswer: -6232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -168*p**5 - 3*p**4 - 5498*p**3 + 65885809*p?\nAnswer: -3360*p**3 - 36*p**2 - 32988*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2651 and 3641?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 158 + (-68 - -151) + -172.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -611\/3 + 203. Let m = -7 + 7. What is the closest to m in 3, o, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k - 2. Let d be m(6). Let w(h) = -3*h - 1. Let r be w(d). Calculate the highest common factor of r and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u + 25 = -3*y + 33, -6 = 5*u - 4*y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 52668 and 41272.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -15, 1\/54, -117\/22?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -797*q**5 - 43*q**2 - 6*q.\nAnswer: -47820*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 3\/7 of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 43120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 + -139?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/2160 and 35\/522.\nAnswer: 62640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 134, 1232, 4250, 10148, 19886, 34424, 54722?\nAnswer: 81740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1844759 is divided by 263537.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -6.1  (b) 0.07  (c) -0.5  (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1956 + -1955. Which is greater: -24\/235 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - 46930003?\nAnswer: -46930003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*m - 11*m - 226 + 702 = 0 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4393666 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((2\/(-6))\/(-1))\/((-264)\/(-144))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 4*j**2 - 2*j - 4. Let o(d) = -7 + d + 23*d**2 + 9 - 13*d - 6 - 19. What is 6*o(l) - 34*u(l)?\nAnswer: 2*l**2 - 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 1 - 105*w**3 + 7 + 9.\nAnswer: -105*w**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4\/5063 - 308931\/111386. Let q = 10 + -5. Find the common denominator of (-11)\/(5\/(q\/8)) and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -224 - -229. Let y = -5 - -10. Solve -y*o - 10 = r*a, a - 2*o + 1 = 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 179, 194, 209, 224, 239?\n\"Answer: 15*b + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 32 - -5d96?\nAnswer: 5dc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -65.8 + 64. Let m = 16357.7934 - 16356. Let n = m + c. What is n rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 2*p - 4 = 2*d, 5*d - p = 16. Solve -3*t + 7 = -d*z, t + t = -2*z - 14 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1332)\/(-666) + (-61)\/(-110)*-18 - -8.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13348 + -13341. Calculate the remainder when 17184 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 114814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -372 at least as big as -0.085567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -132 - -134. Let y(u) be the first derivative of 3*u**2\/2 - 3*u + 1. Give y(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 65602, 131318, 197034?\n\"Answer: 65716*f - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 48 by -110.\nAnswer: -24\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 468, 2763, -9 in decreasing order.\nAnswer: 2763, 468, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0646652 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 453.3 and -4.8?\nAnswer: -2175.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v. Suppose 7*r = r + 30. Let s be n(r). Which is bigger: s or 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*k - 4*n, -2 = -2*k - 5*n - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -15 <= -981\/62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19353?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 7431, 7430, 7429, 7428?\n\"Answer: -s + 7432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10\/6*126\/70. Find the second derivative of 575*h - 819*h + 300*h**5 + 7*h**3 + 2*h**g - 9*h**3 wrt h.\nAnswer: 6000*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 + (-144)\/126 + (-12 - 24)\/(-4)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -29 + 25 + (-1 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 154 and 28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2 times 437\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 16) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.2812164 nanograms?\nAnswer: 0.0000000002812164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-150)\/(-70) - (-3 + 4)\/1?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/74 and 91\/9354.\nAnswer: 346098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/24249053 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**2 + 2*v + 1. Suppose -8*t + 15 = -11*t. Suppose -612*a + 152 = -611*a. What is the lowest common multiple of l(t) and a?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*r + 29*r = 2. Let j(k) = -6*k**3 - k**2 + k - 1. Calculate j(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 440?  (a) 3\/2  (b) -1  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t = -0*t - 120. Let u = 75 - t. Suppose -3*n = -3*o - 87, -5*n + 2*o = u - 241. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -17485, -17456, -17401, -17314, -17189?\n\"Answer: o**3 + 7*o**2 + o - 17494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(6\/11))**(-2\/115)*m**(-4\/5)*(m\/m**(17\/5))\/m)**(3\/11) assuming m is positive.\nAnswer: m**(-16041\/13915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 6*f**2 - f. Let h be i(-1). Let s = h + -5. Suppose -65 = -2*u + b, s*u = -2*u - b + 121. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 3, m: 4}. Give prob of picking 2 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 + -1. Let k(t) = 7*t + 62. Let f be k(-8). What is the greatest common factor of s and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.5  (b) 2\/5  (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -20 + 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 27 + (-23)\/((-10626)\/(-12488))\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -2112819, -4225591, -6338317, -8450997, -10563631, -12676219?\n\"Answer: 23*c**2 - 2112841*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 280 = 4*d - i, -d + 0*i - 4*i + 87 = 0. Which is greater: 67 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*s - 5*a = 17*s - 75, 3 = a for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 19 = -5*m, 3*m - 4 = -3*c + 4*m. Solve -w + 2*v = w, -c*v - 12 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -196239*a**4*f**3 - 3*a**2*f**3 + 7*a**2*f + 75*a - 28*f**2 wrt a.\nAnswer: -4709736*a*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b + 3*b + 4*b)*(0 + 0 - b)*(3 + 2*b - 3).\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - 34800115.\nAnswer: -34800116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pww when three letters picked without replacement from wopowooowwmw?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**2 + 6*a - 3. Let i be 16\/2*(-10)\/(-4). Suppose -4*j + i = j. Let g be b(j). Solve g*d + 14 = -1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8784 and 10370.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95003*z**2 + 12*z**3 - 190150*z**2 + 95147*z**2.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w - w + 12339600 + 6790800. What is w rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the second derivative of -r**3\/6 - r**2 + 32*r. Let c(w) = 2 + 4*w - w + 5. Let d(i) = -6*c(i) - 21*o(i). Let b(n) = -5*n**2. What is b(d(u))?\nAnswer: -45*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -636513 - 2.748.\nAnswer: -636515.748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -0*u. Let p be (3\/(-3) - u)*0. Determine r, given that -2*r**4 + 2*r**2 - 2*r**5 + 0*r**3 + 2*r**3 + p*r**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -120452, -240920, -361388, -481856?\n\"Answer: -120468*l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -399556 rounded to the nearest 10000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0867224 to 3 dps.\nAnswer: -0.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -72651 by -3.\nAnswer: 24217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p + 7. Let q be l(7). Suppose q = -2*h - h - 27. What are the prime factors of (-93)\/h - 4\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1\/26 - 15\/52. Let m = 2968 - 884471\/298. Let p = m + -8181\/596. What is the common denominator of k and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 + 0)*(2*a**5 + 3*a**3 - 3*a**3) + 165*a**5 - 116940 + 116940.\nAnswer: 163*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-6)\/a*(a*a**(-1\/3)*a)\/a*a*(a*a**(1\/5)*a)\/a*a**4\/a)**(-37) assuming a is positive.\nAnswer: a**(629\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-10)\/(-35) - (-625)\/(-7). Let x = -81 - d. Let q(t) = t**2 - 5*t - 17. Let i be q(8). Is x at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 75818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xfbew. What is prob of sequence wbe?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -654738 at least -654739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 + 27. Suppose s - 31 = 29. Suppose -5*y + s = w. Calculate the remainder when 24 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1146883 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: 6 - ((5 - -5) + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (3*sqrt(10)*-5)\/(sqrt(2) - (sqrt(200) - sqrt(200)*-6))*-6)**2.\nAnswer: 120*sqrt(5)\/23 + 6616\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -24552553 (base 6) to base 10\nAnswer: -792501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 20111 * 0.6.\nAnswer: 12066.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.051 and 0.08238695?\nAnswer: -0.00420173445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11\/(198\/(-36)) - (-5)\/((-15)\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**3 + 11*i**2 - 14*i - 22. Suppose 4*s = -2*l - 14 - 10, -4*s = -5*l - 60. Determine q(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25.4453572 rounded to 2 decimal places?\nAnswer: -25.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 36 - 34. Suppose 4*z - z = 3*t - 186, z = -a. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -31, -1, 29, 59?\n\"Answer: 30*g - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -36  (b) -5  (c) 2.962  (d) 475\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 2.3139576 minutes?\nAnswer: 0.001606915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1*(-4)\/(-14)*(-53)\/106. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7*g - 12*g + 37*g)*(-9 + 9 - 19*g) to the form c*g + x + t*g**2 and give t.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 208019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + p = 4*b - 13, 4*b = -4*p + 28. Let s be ((-4)\/(-6))\/((-4)\/192). Let u = p - s. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = m + 11, -2*v + 2*m + 21 = 7. Suppose 13*d - 17 = 295. What is the remainder when (67\/v)\/(5\/10) is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 42\/91 - 4736\/(-104). Calculate the highest common divisor of 3726 and c.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6917 at least -6919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 4 times 0.68\nAnswer: 2.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 746 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from {s: 1, t: 2, r: 2, w: 2, u: 1, a: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -36.62 + 36.57. What is the closest to 1\/4 in r, -0.4, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6197 or -6200?\nAnswer: -6200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the first derivative of -n**7\/21 + 14*n**6\/15 - 61*n**5\/10 + 14*n**4 - 12*n**3 - 27*n - 78. Let q(i) be the first derivative of c(i). Factor q(p).\nAnswer: -2*p*(p - 6)**2*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 6 = -0*n. Let m = n + 947. Suppose -5*j + 0*b + 2353 = -2*b, 3*b = -2*j + m. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*r**3 + 5*r**2 + 47152970*r + 432623294.\nAnswer: -6*r**2 + 10*r + 47152970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-327)\/414 - (-29)\/1218*35?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-20))\/(12\/((-780)\/(-13))).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 26\/(-39) - -1*(1 + 0). What is the second biggest value in j, 0, 99?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1016 and 1001 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -252604214.696 - 0.1\nAnswer: -252604214.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 20333122221 (base 4) to base 14\nAnswer: 454d05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14992, 14950, 14834, 14608, 14236, 13682, 12910?\nAnswer: 11884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -6104 + 3*y**2 - y**4 + 11*y**3 - 6097 - 3*y + 12205 in the form g*y + q*y**4 + i*y**3 + b + r*y**2 and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1848 - 1833 = -5*y. Let j(d) = -6*d**2 + d - 5. Calculate j(y).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 419039096 to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 16186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 313 + -2022?\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 417153.5 millimeters to micrometers.\nAnswer: 417153500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/45*6\/24\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes before 8:55 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z**3 + 10175*z**2 - 55798880*z + 55788700 = 0.\nAnswer: -4510, 1, 2474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes after 4:14 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 10, s: 2, f: 1, o: 4}. Give prob of sequence oho.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -2*p**3 + 39*p**2 - 20*p + 25. Let s be l(19). What is the second derivative of -s*m**3 - 73*m - 27*m - 42*m - 2*m wrt m?\nAnswer: -36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -16*l**3*n**2 - 22788154*l**3*n - 8*l**2*n**2 - 669738*l**2*n - 2*l*n**2 + l*n - 2*n + 2 wrt l.\nAnswer: -96*n**2 - 136728924*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -21 - -35. Let w(y) = -y**3 - 11*y**2 - 3*y + 7. What is the remainder when w(-11) is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*u = -7*u + 1422. Let g = 428 + u. What are the prime factors of g?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 30.551 * 0.25.\nAnswer: 7.63775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -3291, -13273, -29909, -53199?\n\"Answer: -3327*c**2 - c + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1*-3)\/((-29)\/87). Suppose -3*x = 2*l - 2*x - 37, 0 = 4*l - 4*x - 68. Suppose -4*w = -3*w - l. What is the highest common divisor of j and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + -2 - (9191\/91 - 98)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**5 - l**4 - l - 1. Let y(p) = -15*p**5 + 5*p**4 + 6*p + 58. Let w(m) = 5*o(m) + y(m). Find the second derivative of w(t) wrt t.\nAnswer: -200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1405, -1092, -571, 158, 1095, 2240?\n\"Answer: 104*z**2 + z - 1510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 23 - 18. Solve 0 = -v - 4*h - 9, -l*v - 1 = -h + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33859841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*c - 12*c = 10. Suppose -3*j = -4*j + 3. Solve w = -j + c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/28)\/(28\/21)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-7)\/(-14)*-16 - -156.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 19 - 8. Let o = f - 10. Let i(j) = 3*j - 4*j - 2 + 2*j - o. Calculate i(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hvvvvvvvvvhhvhvvvhvv. Give prob of picking 1 v and 1 h.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**3 - 7*w**2 + 24*w + 39. Let p be q(-9). Let u(b) = -11*b + 45. Is 10 a factor of u(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (9\/((-54)\/120))\/(2 + 0). Is 8\/y - (-41668)\/110 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17848414 to the power of 1\/2, to the nearest integer?\nAnswer: 4225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-560)\/(-360) + ((-26)\/(-18) - 1). Put u, -56, 1 in descending order.\nAnswer: u, 1, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes before 5:27 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3303.942m?\nAnswer: 3303942000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/2 of a litre?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -3. Let f(d) = -47*d**2 - 2*d - 22. Calculate -2*f(a) + 14*l(a).\nAnswer: 94*a**2 + 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:28 AM and 5:28 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/15?  (a) 2\/7  (b) -2  (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 21760443*y**2 + 1076529*y.\nAnswer: 43520886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -143.401 to the nearest integer.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 64785342 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -21*j**3 + 36*j**2 + 321*j - 2144. Calculate g(7).\nAnswer: -5336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -487*f**3*g**2 - 407*f**2*g**3 + 45*f*g**3 - 233*f + 3*g - 1 wrt f.\nAnswer: -2922*f*g**2 - 814*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:23 AM and 8:00 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12*x - 16 + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.03 + -0.33. Let z = 811 - 810.7036. Let k = o + z. Round k to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 15*y**2 + 1 + 3*y**2 + 7*y**2 - 2*y - 9*y**2 + 10*y**2. Let r = -112 + 113. Determine c(r).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 5*y + 2*y + 2*y + 3*y to the form z*y + v and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.07*38231\nAnswer: 2676.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, w: 2, y: 2, o: 6, e: 6, b: 3}. Give prob of sequence ww.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -89*z**3 - 2*z**2 + 3*z - 1936. Let t(u) = 3*u**3 + u**2 + u + 1. Let h(q) = k(q) - 3*t(q). Find the first derivative of h(x) wrt x.\nAnswer: -294*x**2 - 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29565112 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -84 divided by -4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hdshzd. Give prob of picking 2 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 37903761 a multiple of 1198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -109\/24 and 1 + 0 + 2500\/(-1050).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**2 + 34175*g\/9 + 7594\/9.\nAnswer: (g + 3797)*(9*g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -2*i + 5 - 2*i - i. Calculate the remainder when u(-6) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4163\/9 or 464?\nAnswer: 4163\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 + 144?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(608)*-3)\/(sqrt(200) + (2*sqrt(200) - sqrt(200)) + 3*sqrt(4)\/sqrt(2)).\nAnswer: -12*sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 48, 0.0165 in ascending order.\nAnswer: 0.0165, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 4*q - 3*q. Let u be q\/(-15) - (-55)\/25. Put -0.05, 1, u in descending order.\nAnswer: u, 1, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 7476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10328*z - 741638 = -8272*z + 10102*z for z.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 2*c + 3364 = 0, w + c = 4*w - 2521. Suppose -28*m + w = -225. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1500190429 to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 36\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3448*i**3 + 1535*i**3 + 1914*i**3 + 3 - 3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 427242029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 2*t**3 + 63*t**2 + 27*t - 91. Give k(-31).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 8479715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -30230.148 to the nearest one hundred.\nAnswer: -30200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 8457 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 7*z + 2. Is h(4) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 4, -3, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h**28\/h))\/h)\/h*h\/(((h*h**6)\/h)\/h*h) assuming h is positive.\nAnswer: h**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -192*d**2 + d - 264 wrt d.\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 134 + -117. Let q be 2965\/25 - (-8)\/20. What is the greatest common divisor of b and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -45993 divided by -3\nAnswer: 15331","meta":{"dup_signals":{},"source":"arithmetic__div_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: Is 630352 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3 - -5 - (-4)\/2. Solve -2*z + 2*t = o, -3*z + 4 = -5*z - t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 + 4\/(1 - -1). What is the derivative of 15*t**2 + 6 + 13 - 31*t**a wrt t?\nAnswer: -32*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -192 + 112. Let h = -77 - r. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*p - 5 + 3 + 0 + (4 - 4 - 2)*(5*p + 0*p - 2*p) + 4*p + 0*p - 2*p to the form o*p + m and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z + 51. Suppose -12*l - 310 - 350 = 0. Let x be t(l). Let r(f) = 3*f + 1. Calculate r(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (4\/(-6))\/(16\/1224*-3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -475 - -471. Suppose -3*r = -2*r. Suppose 0 = -2*j - r + 4. Which is the smallest value?  (a) f  (b) j  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22437*-0.2\nAnswer: 4487.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1, 7, -5 in ascending order.\nAnswer: -5, -1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 3*a - 30, -4*a + 30 = -2*f - 0*f. Let o = a + 6. Let x = 263 - 167. Calculate the greatest common factor of x and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the second derivative of -w**7\/840 - w**6\/240 + w**5\/20 - w**4\/6 + 4*w. Let i(g) be the third derivative of p(g). Suppose i(k) = 0. What is k?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the first derivative of 8*m + 10\/3*m**3 + 16*m**2 - 25\/2*m**4 + 3. Suppose o(v) = 0. What is v?\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -11, -20, 26, 652\/5?\nAnswer: 652\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 26055722, 26055731, 26055744, 26055761?\nAnswer: 26055782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12 - 5. Let l = q + -2. Solve -2*d = -3*k - 10, -l*k - 4*d - 31 + 7 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3419 - 3424. What is the second smallest value in x, 0.016, -10, -1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -150, -105, -38, 51, 162, 295?\n\"Answer: 11*l**2 + 12*l - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1187236896 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (25715 + 8)\/(11\/110). What is r rounded to the nearest 1000?\nAnswer: 257000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*b - 685 = -3282 for b.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/5 + (-78)\/(-195)*-62?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 48*u - 14*u - 238. Solve -6 = -u*a + 9*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -17 + 16. Let u(q) = -2*q**3 - 6*q**2 + 6*q + 3. Let s(o) = o**2 - o. Calculate n*u(y) - 6*s(y).\nAnswer: 2*y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -4175*w**4 + w**3 + 57*w + 4172*w**4 - 54*w + 19*w**2 + 2 as h + j*w + c*w**3 + q*w**2 + x*w**4 and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.47 + 0.03. Let w = q - 3. Let v = 0.037 - 3.037. Which is the second smallest value?  (a) -2  (b) v  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 + 1a0?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 5*n + 10*n = -70, 4*n - 20 = 0. Suppose f - 19 = 2*v, -5*v - q = f + 46. Let o = 68 + v. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(385)\/(sqrt(66)\/sqrt(6)) + sqrt(1715)*1 + sqrt(35))\/(sqrt(20)\/sqrt(4)*-1 + (-3*sqrt(30))\/sqrt(6)) + 2.\nAnswer: -9*sqrt(7)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is (21 - (-3183222)\/105) + (2\/(-5))\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/15*((-118595)\/40 + 3). Let f = 1171 - w. What is the common denominator of 41\/27 and f?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 72*x**3 + x - 1. Suppose 11*r - 6 = 8*r, -13 = -3*q - 5*r. What is the units digit of n(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 11*b**2 - 20*b + 0*b + 18*b - 67 + 3*b. What is the hundreds digit of i(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 331564083*a**3 + 326663386 with respect to a.\nAnswer: 994692249*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2060, 2058, 2056, 2054, 2052?\nAnswer: 2050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -27, 19, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -139378*o**3 - 169685*o**2.\nAnswer: -836268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 440 is divided by 89?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24 - (-3 + -6))\/((-1719)\/(-5730))?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 60 - 41. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -22 - (11 + 1794\/(-54)). Which is the closest to 5\/4?  (a) 4  (b) -384  (c) v  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 9 = -2*k, 5*k + 2 = 4*k + 5*z. Let t = k + 9. Suppose -47 = -0*c - 4*c + 5*p, -2*p + t = 0. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 times 0.055?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from cccjuuu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10*l*n**3*t**2 + 3*l*n**3 - l*n**2*t - l*t**2 - 2*n**3 - n**2*t + 8*n*t wrt n.\nAnswer: -60*l*t**2 + 18*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nu when two letters picked without replacement from gvjjngjugwngg.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8\/(-52) - (-272)\/(-936). Let r = -0.1 + 0.1. Which is the closest to r?  (a) -2\/13  (b) l  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 5, -339, 1639, 1 in increasing order.\nAnswer: -339, 1, 5, 13, 1639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1893 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: Let s(n) = 2*n**3 + n**2 - 3*n - 2. Let p(f) = f + 1. Let w(i) = -p(i) - s(i). What are the prime factors of w(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2675 times 0.1?\nAnswer: -267.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -512.883 + -0.117. Let u = x + 509. What is the second biggest value in -7, u, -0.05?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.1, 2\/9, 336, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v - 2*v + 3 + v)*(-1116 + 1027 + 24*v - 23*v).\nAnswer: -v**2 + 92*v - 267","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 9600 divided by -64?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 + -9. Which is greater: g or 12\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 31, -4, 233, 4 in descending order.\nAnswer: 233, 31, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -5 - 0. Let z = -57 + 69. Suppose -5*a = 4*j - 16, 0*a = 5*a + 3*j - z. Do y and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -41\/10345 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 1225729888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22402 is divided by 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -3*n - 19. Let s be g(-7). Is (7\/(-2))\/(s\/(-28)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.13, -6, -11.67, -5?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.661955 millimeters to centimeters.\nAnswer: 0.9661955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 146\/35 greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the first derivative of -t**8\/4200 - t**7\/3150 - 8*t**3\/3 - 2. Let m(y) be the third derivative of j(y). Let m(p) = 0. Calculate p.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 39.8 or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 + -21 - ((0 - (-1 - -2)) + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -34\/113 + -10011\/904. Find the common denominator of b and -73\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 3*b = -7*b + 16, -5*b = 3*a - 14. Suppose a*k - 24 = -0. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 1\/7  (b) 0  (c) -0.0444\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**2 + 7*o. Let t be s(3). Let n = t + -5. Suppose 7*v - n = 2*v. Solve 11 = v*l + 31 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-16)\/(-70))\/2*20*11\/(-88)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:13 AM and 5:36 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/4 - 52\/(-48). Let r(f) be the first derivative of 7 + 0*f + h*f**3 + f**2. Find the second derivative of r(a) wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (-1 - (-1 + -3 + -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -141 - -147. What is the highest common divisor of 51 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-24)\/16*(-24)\/(-9). Let q(g) = 0*g**3 + 2*g**2 + g**3 - 2 + 1 - 6*g. Calculate q(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:24 AM and 11:52 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -21*b + 88 - 25 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -17\/57 + 7067\/570. Let k = -39651\/7 + 5676. Let m = k + -669\/56. What is the common denominator of m and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 98 = 4*d + z, z + 2*z = 3*d - 81. Let n(f) = -f**3 + 19*f**2 + 5*f + 27. What is the remainder when n(19) is divided by d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 427 + -134. Let x = -39925 - -40023. What is the remainder when c is divided by x?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.1, -22, 12\/41, -3, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 0.04, -2 in increasing order.\nAnswer: -2, 0.04, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 33476985 to the power of 1\/3, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 8 = 5*m, 5*m = 3*m - 3*p - 12. Let f be (3\/(-9))\/(1\/(-12)). Let i(d) = -f + m + 2*d - d. Determine i(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*p - 5*p - p)*(0*p**2 + 0*p**2 - p**3) + (-67 - 3*p**4 + 67)*(1 + 1 + 0).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -f - r + 650, -3*f - r + 388 = 0. What is the remainder when f is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-18)\/(-15))\/((-1)\/5). Let v(r) = 10*r + 64. Let i be v(w). Solve 5*u = 5*p - 5, -3 = i*u + 4*p + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 389, 1931, 4623, 8465, 13457?\n\"Answer: 575*f**2 - 183*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*x = -25*x - 14. Let i(j) = 978*j**2 + j - 1. List the prime factors of i(x).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 161\/(-56)*4*15\/((-1200)\/(-32))*-15\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 102096 and 8298?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1032 = -295*v + 49 + 984. Let o = -4.06 - -4. Let i = -5.06 - o. Which is the second biggest value?  (a) i  (b) v  (c) -2  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -118654.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 69*w**2 + 1 + 0 - 3*w**3 + 20*w**2 - 3 + 29*w**2 + 8*w**6 wrt w?\nAnswer: 960*w**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 108029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (14 - 5 + 11)*(5 + u - 5) + u + 0*u - 2*u - u + u - 2*u to the form p + b*u and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1351, -1717, -2079, -2437, -2791?\nAnswer: -3141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 - -6. Let b be (2 + -1 - 2)*-5. Suppose -b*i = -4*i + 1. Sort i, l, -5 in increasing order.\nAnswer: -5, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 112 + -71. Calculate the remainder when 76 is divided by l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n + 360 = 17*n. Suppose -n*m = -19*m + 5172. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 60302412 to the nearest integer?\nAnswer: 7765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*g**3 - 2*g + 4*g + 38*g**3.\nAnswer: 78*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the first derivative of -5\/2*u**4 + 5*u**2 - 8*u + 2*u**3 + 2\/5*u**5 - 4. Factor n(g).\nAnswer: 2*(g - 4)*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 66.666 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-2*sqrt(133))\/((sqrt(112)\/sqrt(4))\/sqrt(4)) - (sqrt(931) + -4 + sqrt(171)\/(sqrt(9) + sqrt(72)\/sqrt(8))).\nAnswer: -3*sqrt(19)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -46*x. Let d(u) be the first derivative of 2*u**3\/3 - 261. Determine d(r(p)).\nAnswer: 4232*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.3 + -1. Let n = 1 + -4. What is the second smallest value in m, 2\/11, n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 164823 is divided by 89.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**2 - 959*m - 225760.\nAnswer: -(m + 415)*(m + 544)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-18 - -11 - (-11 + 21)) + -7 + 4\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 366, 6691, 17228, 31977, 50938, 74111?\nAnswer: 101496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 32580650 and 315905.\nAnswer: 2182903550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1223419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v - 4*v + 2*v)*(-v - 2*v**2 + v) + v**3 - v**3 + v**3 + (2 + 2 - 3)*(-3*v**3 + 6*v**3 + 2*v**3).\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 310445146560 + 27.\nAnswer: 310445146587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence addd when four letters picked without replacement from {a: 14, d: 4}.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 2698*w - 474876. Calculate g(176).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -26  (b) 3  (c) -3  (d) -13  (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**2 - s - 1. Let h(v) = -v**3 - 43*v**2 + 5*v + 3. Determine -h(p) - 3*z(p).\nAnswer: p**3 + 40*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.1 and -5.52.\nAnswer: -5.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00005610718863 rounded to six decimal places?\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1145089 is divided by 94.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 21*h**2 + 35*h - 6. Let n(d) = 14*d**2 + 23*d - 4. Let m(r) = -8*n(r) + 5*u(r). Find the second derivative of m(b) wrt b.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*f - 7*f + 1092 = 9*f. What is the greatest common factor of 686 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (158*g**2 - g**2 + 61*g**2 - 3*g**2)*(g + 3*g - 2*g).\nAnswer: 430*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5057 is divided by 93?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than or equal to 3\/3043?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 404 - 168. What are the prime factors of b?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 not equal to -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 PM and 8:49 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 11) to base 13\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.06  (b) -2  (c) 2\/3  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -2*q - 23. Let i(l) = -277*l**2 - 2. What is c(i(b))?\nAnswer: 554*b**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 171733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 1810 - 4*n**2 - 3*n**2 + 42 + 46*n + 3*n**2 - 45*n. What is the thousands digit of p(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 93800 to the nearest one thousand.\nAnswer: 94000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 64087.22nm to meters.\nAnswer: 0.00006408722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 205, -0.3, -0.4, -1, -1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(275) + (sqrt(275) + 1*sqrt(275))**2 + sqrt(275))*2 + -4.\nAnswer: 20*sqrt(11) + 2196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -y**3 + 36*y - 78*y + 27*y.\nAnswer: -y**3 - 15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c\/(c\/c**(2\/17)*c)))\/c**(-22) assuming c is positive.\nAnswer: c**(406\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 139824978?\nAnswer: 2, 3, 311, 74933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/((-7)\/(-49) + ((-10140)\/4970)\/13)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 177*c**4 - 175*c**4 - 4*c**2 + 2 - c as u*c + m + z*c**4 + o*c**2 + f*c**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -18*a + 14*a - 12*a**2 + 2*a**3 + 8 - 3*a**3 - a**2. Let i be y(-13). What is the greatest common divisor of 40 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 932, 1859, 2784, 3707, 4628?\nAnswer: 5547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/7, 0, -1\/5, 247\/14, -72, 4 in increasing order.\nAnswer: -72, -3\/7, -1\/5, 0, 4, 247\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-8)\/6 + (-12)\/18. Let r be t + 2 + (0 - 0). Let a(b) = b - b - b + r. Let q(f) = f**2. Determine a(q(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**5 - 4*c**4 + 5*c**3.\nAnswer: -c**3*(c - 1)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**3 - 9*t**2 + 9*t. Let u be c(8). Suppose j - 20 = u. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 11*p + 288. Give t(-26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/5)*j)**21\/(j*j**2)**24 assuming j is positive.\nAnswer: j**(-297\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**3 - 2*f**2 + f - 2. Let a be i(2). Suppose -y + a = -5. Let v = y - 0. Solve -v*p = -3 - 17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*m - 3 = 5. Let j be m\/(-2) - (-555)\/74. Solve 13 - j = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 3317984, 3318017, 3318050, 3318083, 3318116, 3318149?\n\"Answer: 33*t + 3317951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.1 and -0.074645.\nAnswer: -0.174645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 5*f - 48. Suppose 5*t - 66 - 4 = 0. Is s(t) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 652*d - 5756 = 1234 + 3442 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10278958*v**5 - 1982723*v**2 - 2.\nAnswer: 616737480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 38\/133 - (4736\/(-35) - -1). Let z = -135 + g. What is the biggest value in -0.04, -4, z?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 72\/((-18)\/(-2))*2\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.07?  (a) 4  (b) -0.15  (c) 2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -214 (base 5) to base 6.\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 76649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.101 - 0.243. Let f = 0.042 + x. What is the biggest value in -0.5, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 207 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 9 times 471.3\nAnswer: 4241.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**2 - 6*f - 7. Let q be v(-5). Let t = -2 + q. Let d be (9\/1)\/((-6)\/t). Solve i + i = -d, 3*i = w - 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/240 and 6 + ((-669)\/180)\/1?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + 7 + -21 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xa when two letters picked without replacement from xxxxaxaaxax?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 63, -1, -16, -5, 954.\nAnswer: -16, -5, -1, 63, 954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = -5*v + 170, 2*v - 3*v - 5*b = -50. Suppose -7*k = -2*k + v. Let z = k + 11. Solve 3*i - 6 = i, z*i - 5 = -5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t + 26 = -6*t. Calculate the remainder when t is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26\/(-888) + -17 + (-6355)\/(-372).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 - 1200?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 7, c: 3, w: 1, e: 4, u: 1}. What is prob of picking 2 q and 1 e?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-16)\/(-4)*(-2 + 1). Let q(b) = b**3 + 4*b**2 - 2*b + 4. Let d be q(w). Determine g, given that 195 - d*g - 195 + 4*g**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2638392 divided by -141.\nAnswer: 18712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 11941234861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 83747033 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 - 65*x**2 - 286*x + 68. Calculate t(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 391390818?\nAnswer: 2, 3, 7, 13, 67, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4883\/110 + 6\/55. Calculate the common denominator of o and -81\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8425\/22154 + 3\/2332. Calculate the common denominator of 0 + (-46434)\/(-3976)*2*2\/(-12) and m.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from efpccpyl. What is prob of sequence eccp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**2 + 13*f - 20. Let k(n) = n**3 - 7*n**2 + 8. Let x be k(7). Let s be m(x). Calculate the highest common divisor of 50 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/((-1)\/(-2) + 3\/2). Put 0, z, 45, 1 in decreasing order.\nAnswer: 45, 1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 41387652 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8*a**4 + 2*a**4 - a**3 - 47*a + 3*a**4 - 53*a wrt a?\nAnswer: 156*a**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.134322 centuries to decades.\nAnswer: 31.34322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -54*t - 39*t - 4*t + 10*t in the form u + y*t and give y.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 - 0. Let q(p) = p**3 + 3*p**2 - 6*p - 6. Let x be q(w). Suppose 3*m + 94 = -5*l + 369, -x*m + 10 = 0. Is l a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 4*c + 27. Let w be (-18)\/c*(4 + -1). Suppose -w*f + 6*f = 88. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*2\/(-6)*(-12)\/28?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 385590 is divided by 166?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1296556189.\nAnswer: 1296556189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8958759 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**2. Let t(r) = -r**3 + 4*r**2 + 3. Give -4*b(m) + t(m).\nAnswer: -m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1097956 * -0.03\nAnswer: 32938.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -30 - -28.7. Let o = -11.3 - q. Let d = -14 - o. Which is the nearest to 0.03?  (a) 2\/7  (b) -1  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -10.5434 from 5.78264.\nAnswer: 16.32604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 1 - 32666*b**2 + 34289*b**2 as f*b + m + d*b**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, -23\/3, 2\/15?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/3 - 56\/12. Let k = 0 - a. Let l = k + -3. Solve b - 6*b - y = -l, 0 = -4*b - 3*y - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gxx when three letters picked without replacement from {x: 2, e: 5, r: 3, g: 8, q: 1}.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 425 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -58 + (40 - (-3 + 19)) + 1.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-28)\/16 + 1\/(-4). What is the remainder when 0 + 1 - 62\/f is divided by 15 - (-4 - ((-100)\/350)\/((-2)\/7))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**0)**35\/(i**2*i*i*((i\/(i\/i**(-6)))\/i*i)\/i*i) assuming i is positive.\nAnswer: i**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 - 7. Let v(h) = h**3 + 2*h - 1. Let k be v(1). Suppose -4 = -q - k. Sort q, w, -0.3.\nAnswer: w, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5201 + 2336?\nAnswer: -2532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + (3*sqrt(27) - sqrt(3)) + 1 + 6*((-2 + sqrt(75))*4 - sqrt(75)))*6)**2.\nAnswer: -296352*sqrt(3) + 1100736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*h*k**2*x - 323*h*x - 7731*k**2*x + 4*x wrt h.\nAnswer: -3*k**2*x - 323*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2541006304 to the nearest integer?\nAnswer: 50408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 39247.95 litres to millilitres.\nAnswer: 39247950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 897.3712km to meters.\nAnswer: 897371.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 13) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/534 and -47\/1506?\nAnswer: 134034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 36367, 72743, 109139, 145561, 182015, 218507?\nAnswer: 255043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the first derivative of n**4\/4 + 5*n**3\/3 - 2*n**2 + 8*n - 26. What is a(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 31 - 19.1. Let f = m - 12. Which is greater: -1\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 99.61605 nanograms to micrograms.\nAnswer: 0.09961605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5722 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nyj when three letters picked without replacement from {h: 1, y: 3, j: 9, n: 4, x: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1123992 is divided by 177?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -2*u + 15 - 5, -3*j = -3*u - 3. Let m(w) = -w**2 + w. Let s be m(2). Put j, -3, s in ascending order.\nAnswer: -3, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13 - 8. Let f(a) = -1 - 17 - 2 + 1 - 4*a. Calculate the remainder when f(-9) is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9774a (base 16) in base 8?\nAnswer: 2273512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 2465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 6*f + 4*n = 13442 - 13438, -7*n - 5 = -4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 divided by -4170?\nAnswer: -41\/4170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 40 - 34. Let i(j) = -u*j - 5*j - j**2 + 11*j. Let q(p) = -16*p + 2*p - 9*p. Determine q(i(h)).\nAnswer: 23*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 30, 328, 824, 1512, 2386, 3440, 4668, 6064?\nAnswer: 7622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes before 1:31 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 307*q**2 - 29*q - 3. What is f(1)?\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 3 = -3*s, -3*s = 5*m - 4. What is the second smallest value in -0.193, -2\/13, 0.4, m?\nAnswer: -0.193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 206*w + 254*w**2 + 2*w**3 - 1 - 204*w - 263*w**2 to q*w + m*w**2 + i*w**3 + l and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -28*47\nAnswer: -1316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 + 2. Suppose 3*u + z = 9. Factor 1\/4*x + 0 - 1\/4*x**u.\nAnswer: -x*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-18)\/(-72) - 2\/(-56))\/(4\/6).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -16*y + 11. Let a(o) = -3*o + 2. Let g(u) = -11*a(u) + 2*b(u). Let m(j) be the second derivative of 0*j**2 + 0 - j - 1\/2*j**3. What is g(m(d))?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*s - 17*s + 17. Which is greater: 2\/75 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 394?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10\/9 in 4\/27, -0.04, 4, -0.1, -5?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-40)\/16)\/((-32)\/(30336\/79))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32\/16 + 8180 - 14.\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 51774?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wdwh when four letters picked without replacement from ddlwldwwhz.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the third derivative of n**6\/120 - 11*n**5\/60 - 11*n**4\/24 + 4*n**3\/3 - n**2 - 64. Let p be s(12). Solve 4*m - 28 = -3*y + y, p = 5*y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes before 4:19 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in twenty-seven fifths of a centimeter?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 40, -25, -10.\nAnswer: -25, -10, 2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5077.00016472 - 5077. What is u rounded to six dps?\nAnswer: 0.000165","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-4*-2*sqrt(144))\/((sqrt(30) - sqrt(60)\/sqrt(2)*4)\/(sqrt(40)\/sqrt(36))).\nAnswer: 128*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -87 + (26 - -73) + -59.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 18 = -0*j + 4*j, 3*j = -3*r - 12. List the prime factors of (132\/2)\/(r + 4).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 (base 7) in base 9?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 160 and 8370.\nAnswer: 1339200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (-2 - 5 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -159, -153, -143, -129, -111?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -4235 divided by -4225\nAnswer: 847\/845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 35890849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/4)\/(53\/(-2120))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-30)\/(-25))\/((-14)\/15) - -1\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 37 + -187\/5. Let z = 27\/8 + -165\/56. Which is the smallest value?  (a) 5  (b) s  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5830*v - 396 = -5863*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1403\/135 - 43\/27. Which is the third smallest value?  (a) -1  (b) 2  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -7*w**2. Let j(y) be the third derivative of 11*y**4\/24 + 2*y**3\/3 - 5083*y**2. What is t(j(x))?\nAnswer: -847*x**2 - 616*x - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -2722*i**3 - 11*i**2 - 31*i - 39. Let d(f) = 544*f**3 + 2*f**2 + 6*f + 7. Calculate 2*c(a) + 11*d(a).\nAnswer: 540*a**3 + 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 898 and 9610396.\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 + 34*u**2 + 253*u + 220. Give s(-24).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 1820 = -2*k + 2611, 0 = -5*k + 2*c + 11034. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t**4\/13 + 54906*t**3\/13 + 329314*t**2\/13 - 1372314*t\/13 + 988092\/13 = 0. Calculate t.\nAnswer: -27447, -9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -2*d**2. Let o(k) be the second derivative of 0*k**2 + 1\/6*k**3 + 0 + 3*k. Give p(o(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*(-36)\/54*9\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*k = 14*k - 402. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 42606880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 15 = 0, 5*w - 3 = -4*m + 17 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 29 - -18. Let b = l - 19. Calculate the remainder when b is divided by 42\/4 - (-2)\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -5.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -173969, -347916, -521863, -695810, -869757?\n\"Answer: -173947*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, m: 4, e: 1, f: 4, y: 10}. Give prob of sequence ff.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.1, 1, 302369, 2, -0.2, -10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 95 - 92. What is the second derivative of 27*t**d - 72*t + 65*t - t**2 + t**2 wrt t?\nAnswer: 162*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**3 - 3*f**2 - f. Let p be w(0). Which is the second biggest value?  (a) 0.26  (b) p  (c) -0.2  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 423\/889 + -6\/127. Let y = 0.11 - 2.11. Let v = 0.74 + -0.71. Which is the third biggest value?  (a) n  (b) v  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -200*x**2 + 141*x**2 + 151*x**2 as h*x + r + l*x**2 and give l.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.9 + 1.8. What is the closest to z in 0.5, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 17 in -0.05, 4, -2\/27?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**3 - o**2 + 15*o + 5. What is g(-6)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (714*j - 9509 + 9509)*(-3 + 2*j**2 + 3 + (2*j**2 - 2 + 2)*(-6 + 3 + 4))*(-1 + 2 + 1).\nAnswer: 5712*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 194 and 4.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 51.311 + -52.311. Let t(h) = h**3 - 7*h**2 + 7*h - 8. Let g be t(6). Let b be g\/4*2\/(-8). What is the closest to -1\/3 in 0.2, b, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5142 less than 5219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 163, 153, 137, 109, 63?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-9)\/6*12\/(-48753). Let j = t - -232911\/54170. What is the common denominator of j and 29\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the first derivative of -a**4\/42 - 1264*a**3\/63 - 99221*a**2\/21 + 401956*a\/21 + 645. Factor b(s).\nAnswer: -2*(s - 2)*(s + 317)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -3*h - 12. Let z be k(-8). Suppose 0*x = -4*l - 2*x + z, -6 = l - 4*x. Let o be (7 + -1)*l\/4. Put 5, o, 1 in descending order.\nAnswer: 5, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2891963 is divided by 211?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f + 3. Let d be 2\/7 - (-2 - (-24)\/(-14)). What is i(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.084 + -1557914617582.\nAnswer: -1557914617582.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 35189 + -31215.6. Let x = 3973.060026 - y. Let a = -0.34 - x. Round a to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/15 + (-105)\/(-225). Let p = -5385 + 16342\/3. Let r = p - 63. Put q, -0.01, r in decreasing order.\nAnswer: q, -0.01, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**2 - 2*p - 220.\nAnswer: 2*(p - 11)*(p + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j - 7*j + 13*i + 17*i - 74 = 5*i, 0 = 2*j + 3*i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the first derivative of 28*y + 2\/9*y**6 + 20\/3*y**5 + 30*y**4 + 520\/9*y**3 + 106 + 170\/3*y**2. Factor q(u).\nAnswer: 4*(u + 1)**4*(u + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g + 8. Suppose p = -4*z, p - 38 = 5*p - 3*z. Let c be s(p). Let h(a) = 9*a + 3. Let k(n) = -4*n - 2. Let y(v) = -3*h(v) - 7*k(v). Calculate y(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11*m*v**3 + 14*m*v**2 - m - 13*v wrt v?\nAnswer: 66*m*v + 28*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 551 and 1769?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28 - (20 - -2 - (135 - 121)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -59 + 59. Solve 2*c + g - 4 = c, r = 3*c - 4*g + 16 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 109852684+-1.6698\nAnswer: 109852682.3302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 124*d - 520*d + 371*d + 134*d + 291*d.\nAnswer: 400*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 + 8*g**2 - 10*g - 1. Let r be f(-9). Suppose 0 = r*i - 9*i. Suppose 3*v - 246 - 93 = -z, 5*v - 5*z - 545 = i. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 16*c - c**2 + 4*c - 18*c)*(-c + 3*c + 8*c).\nAnswer: -10*c**3 + 20*c**2 + 20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3114802 by -12263.\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 21618 and 366.\nAnswer: 1318698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -40903, -81791, -122683, -163579?\nAnswer: -204479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 16a + -5?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -33 - -45. Suppose 2*p + 2*p + k = 0. Let d be ((-6)\/p)\/(2\/5*-1). Let h(b) = -b - 10. Determine h(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -13848*p = -13867*p - 798 for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11252202.\nAnswer: 2, 3, 13, 144259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one sixth of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 36  (b) -3\/4  (c) 2\/13  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aztnznz. Give prob of sequence zn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2 + 1)\/(4\/(-268)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 93 * 3\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 187*k - 52. Let o(m) = -32*m - 1. Let r(p) = 6*o(p) + q(p). Calculate r(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - ((4 - 14) + -17 - 18)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s - 12*s - 10790 = -5*t, 4*s + t = -8622. Let y = 2052 - -1221. Let q = s + y. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -211 - -216. Suppose 5*c - l = -3*l + 1842, 2*c = z*l + 760. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 559*g + 10653. Determine l(-19).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 23269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -35, -157, -359, -647, -1027, -1505, -2087, -2779?\n\"Answer: -f**3 - 34*f**2 - 13*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**2 + 132*g. Let r(u) = 7*u - 4*u - 3*u - 3*u**2 - u**2. Calculate s(r(w)).\nAnswer: -16*w**4 - 528*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4097499 and 1170714?\nAnswer: 8194998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 344, 345, 346, 347?\n\"Answer: n + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3\/8  (b) 4774  (c) -5  (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -10 + 2*f - 8*f + 4*f. Let x be q(-5). Suppose -d - 79 = -2*a, a + x*a - 4*d = 36. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2a0a83 (base 14) to base 10\nAnswer: 1461883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1548 + 311 = -13*p - 130*p for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 292028543 divided by 4000391.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -704 + 706. What is the remainder when 16 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7644 by -1274.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 9\/8, 2414, 2.26 in ascending order.\nAnswer: 1, 9\/8, 2.26, 2414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 176577635.\nAnswer: 5, 13, 2716579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 4)*(5*v**2 - 4*v**2 + 3*v**2)*(v + 3*v - 6*v).\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 24 in -5, 3\/2, 0.1, -3, 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 15*q**2 - 8*q + 8. Let w(p) = -5*p**2 + 3*p - 3. Let o(y) = 3*a(y) + 8*w(y). Let m(l) = 3*l. What is m(o(s))?\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 46, 33, 4, -47, -126, -239, -392, -591?\n\"Answer: -q**3 - 2*q**2 + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(288))*-4 - (-5 + sqrt(648)*-2))**2.\nAnswer: -120*sqrt(2) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 13 = 3*t, 90*v - 92*v + 22 = 8*t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**3 + k**2 - k + 11. Calculate b(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10*m**3 - 13*m**2 + 26*m wrt m.\nAnswer: 60*m - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**2 + 2*l - 2. Let f = 27 - 71. Suppose 22*a = 19*a + 138. Let q = a + f. Give i(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -13*m. Let n(q) = -q - 1. Let d be -2 + (11 - 2) - 1. Let t(r) = 4*r + 3. Let k(o) = d*n(o) + 2*t(o). What is p(k(i))?\nAnswer: -26*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 - 2. Suppose -5*p = g*c - 11, -3*p + 6 + 7 = 5*c. Sort c, -1, 4.\nAnswer: -1, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-15 - -3)*(3 - 1575\/522). Let m(f) = -6*f**3 + f. Let q be m(1). Let v(u) = -u - 6. Let b be v(q). Which is greater: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3\/(-6))\/1*0. Suppose -5*w = -2*w - 45. Let u = w + -9. Solve v = 4*o - 14 - u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/9*3)\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6737 = 8*n - 17927. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -72210, -144480, -216786, -289128?\nAnswer: -361506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00035421 to 6 dps.\nAnswer: 0.000354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14.153 - 14.553. Let f = -6 - -6.08. Sort f, 0.2, d, -4.\nAnswer: -4, d, f, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 563 + 2488 = 9*h. List the prime factors of (-38 + 40)\/(2\/h).\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 47 + -37 - (-10 - -14 - 17)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h = 5*f - 35 - 15, -2*f = -5*h - 35 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (13\/156)\/((-1)\/(-3))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 + 4 - -2*(-153)\/81. Which is the closest to 13?  (a) -5  (b) -4  (c) s  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t + 2. Let o be u(5). Let s = -1 - o. Let d be (20\/25)\/(s\/40). Solve 4*g + 2*x = d, 0*x = 3*x - 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -15 - -15.1. Which is the closest to p?  (a) -6  (b) 2  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = x - 72775 + 72751 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 5*x - 3 = -8*x, 3 = -3*f + 3*x. Let d be 5 - (2 + 0 + -1). Solve 0 = -f*l - 3*l + 5*j, d*j + 17 = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 434, 868, 1298, 1724, 2146, 2564, 2978?\n\"Answer: -2*i**2 + 440*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2396?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 29 + -24. Let w = 52 - 35. What is the remainder when w is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 49910 and 775?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 13346 + 112?\nAnswer: 13461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 0.6210806 days?\nAnswer: 53661363840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 4*m + 20, 5*g - 20*m = -15*m + 25. Let a(f) be the second derivative of -1\/6*f**3 - 2*f + g + 0*f**2. Let d(l) = -2*l. Calculate d(a(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 3*t - 5. Let i be z(4). Suppose 0 = -3*p - 0*p + 15. Suppose p*v - 6*v = -7. Calculate the highest common divisor of v and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -25495\/4 + 25633\/4. Let n = 11091879\/112 + -1569477\/16. Let j = n + -3785\/4. Find the common denominator of v and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**3 - 8*z**2 + 18*z - 68. Calculate n(5).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 680520 and 41870.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/((l*l*l**(-2\/27))\/l)*l)\/l)\/l**(8\/5) assuming l is positive.\nAnswer: l**(-206\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 2 = k. Let p be k*(-2 + 0) - -98. Suppose -4*h = -p - 0. Calculate the greatest common factor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -29 + 11?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Do -202967 and -202977 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 2 y when three letters picked without replacement from {v: 10, y: 8}.\nAnswer: 35\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, h: 3, y: 15}. What is prob of picking 1 y and 1 h?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -15 + 2 + (19 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4bd49c3 + 4?\nAnswer: 4bd49c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 1 = 2. Let s = -563 - -566. Solve 2*w = -8, w - s = 5*r + q*w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**2 + 11*k + 5. Let f be n(9). Let u = f - 18. Calculate the remainder when 13 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 100\/70 - 50\/(-14). Solve 0*k - 4*k - 3*v = w, -3*v - 7 = 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-5 + (((-1 + sqrt(4212) - sqrt(4212))**2 - sqrt(4212)) + 5 - sqrt(4212)) + 0).\nAnswer: -144*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-6) + (-4)\/(-6). Let p be 2 - (644\/44)\/7. Is p at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (78 - 54 - (-10 + 32)) + (0 - -12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -5  (c) -0.4  (d) 0.6  (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wcc when three letters picked without replacement from {k: 2, w: 8, a: 1, c: 2}?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1946292.\nAnswer: 2, 3, 59, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 2*i = -3*b - 7, -5*b - 4*i = 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*b**5 - 2*b**5 - 2*b**5 + ((11 - 3 + 4)*(-2 - b + 2) - b + 6 - 6)*(-6*b**4 - 18*b**4 - 37*b**4).\nAnswer: 791*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d - 4*d - 5*d)*(-17*d**2 - 2*d**2 + 7*d**2 + (2*d - 2*d - 2*d)*(0*d + 3*d - d)).\nAnswer: 112*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.1929  (b) 4  (c) -1  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -2*f - 3*p, -3*p - 6 = -f + p. Let j(d) = 10*d**2 + 6*d. Let q(v) = -28*v**2 - 17*v. Let t(k) = -17*j(k) - 6*q(k). Determine t(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -225 and -151.112628197.\nAnswer: -376.112628197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 + q. Let y be 30*(-4)\/(20\/3). Let z(n) = -9*n**3 - 18*n. Calculate y*o(f) - z(f).\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 - 141497*k**2 + 36 - 15.\nAnswer: -141497*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 274, 257, 240, 223, 206?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*w + w + 2*w + 1 - 1 - w + (-1025 + 1025 - 5*w)*(-4 + 3 + 0).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.15 - -75407063.29.\nAnswer: 75407063.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 17.72309597 + -0.52306757. Let v = -17.2 + i. Round v to 6 dps.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/(-2)*(2 - 2). Suppose 3*n = -f + 159, 0 = -f - i*f. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**2 - p - 19. Suppose -5*b = -3*g + 4*g - 23, -2*b + 2 = -2*g. Suppose -4*w + 7*w - 12 = 2*d, -20 = b*d - 5*w. What is z(d)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 177 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 1520.16, -5, 1\/5 in descending order.\nAnswer: 1520.16, 1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j + m - 22, -4*j - 4*m = -2*m - 32. What is the highest common divisor of j and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**3 + 6*d**2 + 8*d + 8. Let h be g(7). Let y be (-14)\/21*9\/h. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 133\/28 - 1\/(-4). Suppose a = l - 2. Solve -a*i - 6 = -0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43652750.\nAnswer: 2, 5, 283, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 46*m**2 + 1152*m + 54. Calculate p(-25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5 - (1 + 1\/((-3)\/(-9))). Sort w, -4, 4, 6 in descending order.\nAnswer: 6, 4, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 m when two letters picked without replacement from jhkuhhkhhkududhudmdu?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*m - 16*m - 2*m**2 - 2927 + 3*m.\nAnswer: -2*m**2 - 16*m - 2927","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from diufsfe. What is prob of sequence fud?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1438084880 and -0.19.\nAnswer: 1438084879.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(22) + (sqrt(22) - (-3*sqrt(1782) + sqrt(22))))\/(1*sqrt(288) + sqrt(2)) - ((3*sqrt(1100)*-4 + sqrt(1100))*-4)**2).\nAnswer: -2129597 + 28*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -25*i + 4. Let a(y) = -96*y + 15. Let n(u) = -4*a(u) + 15*f(u). Let p(g) = -15*g**2. What is n(p(b))?\nAnswer: -135*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from dkxdyxdxvxdddxxkd?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -277, -1146, -2659, -4864, -7809, -11542?\n\"Answer: -8*n**3 - 274*n**2 + 9*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:31 AM and 3:45 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 17*q - 19*q + 2126, -4*k + 4272 = 4*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*(-1)\/72*(-32)\/(-12).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 4*c + 7. Let f(z) = -z + 2. Let r be f(c). Let i(l) = 4*l**2 - 5*l + 10. Is 15 a factor of i(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.04 in 1\/11, 0.02, -1\/2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 620252 or 620249?\nAnswer: 620252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cre when three letters picked without replacement from {r: 1, c: 4, e: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -246 - -253. Find the common denominator of f\/(-2)*9 - (-24)\/(-6) and 59\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 686, 5, -309, 3, 0 in ascending order.\nAnswer: -309, -1, 0, 3, 5, 686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 104 = -4*p, 0*k + 36 = 2*k + 4*p. Let v be (-6)\/(-8) - (-65)\/k. Solve x + 0 = 2*j + 2, 3*x + 14 = -v*j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*k**2 + 549*k + 7077 with respect to k.\nAnswer: 6*k + 549","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 659082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b + 20 = 2*b. Let o be (-3)\/b - 0\/(-1). Let c(t) = 4*t**2 - 8*t + 3. Let k be c(2). Sort o, k, 2\/7.\nAnswer: 2\/7, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*sqrt(152)*2)\/sqrt(8) - (1 + 5*(sqrt(19) + 1)))**2.\nAnswer: -84*sqrt(19) + 967","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1220 + 112?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -177215 + 166988 = 487*r for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 47290 - 47237. Let d(c) = 2*c + 1. Let i be d(-1). Does j = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 382331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the second derivative of 3\/2*o**2 + 0 - o**3 + 6*o + 1\/4*o**4. Let p(v) = 0. What is v?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/4  (b) -0.2  (c) 3\/11  (d) -2\/361\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00477019252 to five decimal places.\nAnswer: -0.00477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 33 - 31. Suppose 0 = -d*h + 10, 808 = 5*o - 3*o - 2*h. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, -3873747\/7, -22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 582 and 47428635?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -406 + 60884821.\nAnswer: 60884415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4987 + -4942. What is the remainder when 1027 is divided by t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in twenty-five quarters of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-22)\/(-33)*(-1 + 146 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 7\/(-12) - 2\/(-8). Let o = -0.008026 + -0.101974. What is the closest to u in -0.5, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k + 21 = -x, 3*x + 2*x = 2*k - 13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 1738\/18973?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 0.2  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of 3*u**4\/16 - 4*u**3 + 159*u**2\/8 + 105*u\/2 + 1345. Solve i(n) = 0.\nAnswer: -1, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.4, -120, -1\/5?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**2\/((w*w**11*w)\/w)*(w*w\/(w*w\/(w*w**(-1\/3))))**(4\/21) assuming w is positive.\nAnswer: w**(-622\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*r - r - 3. Let j be (2 + -3)*1 - -6. Let o = r + j. Solve 0 = c + s - 5, 5*c - 4*s = -o*s + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 422117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(((1*sqrt(931)*6)**2 - sqrt(931)) + 2).\nAnswer: -21*sqrt(19) + 100554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-10)*o\/(o*(o**(-2\/19)\/o*o)\/o*o) assuming o is positive.\nAnswer: o**(-188\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 - 2)*(-50*y + 0 + 0).\nAnswer: 50*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 4*s + 3. Let f = s + 11. Suppose f + 1 = 2*x - z, -2*z = 5*x - 27. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 28076 or 28074?\nAnswer: 28076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -2  (b) 4  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**3 - 4*a**2 - 3*a - 6. Let g be v(-4). Let k = g - 29\/4. Is -1 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 36.486 + -33.6. Let x = j - -0.114. Let i be 4\/(-14)*(-14)\/(-6). Sort -1\/9, i, x, -0.3.\nAnswer: i, -0.3, -1\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -671373 - 608627. Let r be (-23)\/(-5) - (-4)\/10. Suppose u + l = r*u. What is u rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 92241343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes after 3:41 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the second derivative of -y**6\/25 + y**5\/25 + 13*y**4\/10 - 62*y**3\/15 + 24*y**2\/5 + 5825*y. Let q(k) = 0. What is k?\nAnswer: -4, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*k**2\/7 + 66*k\/7 - 48.\nAnswer: -3*(k - 14)*(k - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 1 j, and 2 n when four letters picked without replacement from {f: 5, n: 7, j: 4, i: 1, g: 1, w: 1}.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 20 - 87 + 22*w - 23. List the prime factors of j(22).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 41\/4 + -337\/36. Let a = -1107 + 12233\/11. Find the common denominator of a and t.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 3*s + 27. Does 7 divide s\/15*102\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18.71 - -13.54. Round r to 0 dps.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -4*g. Let y be q(6). Let n be y*3*1\/2. Let k be (n\/5)\/((-15)\/50). Calculate the highest common factor of 36 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9234, 9314, 9450, 9642?\nAnswer: 9890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 103\/6 - 17. Let r = -0.99 + 0.19. Let l = -1 - r. What is the nearest to 0 in l, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1987794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2889463298?\nAnswer: 2, 1444731649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 429564804 and 4728.\nAnswer: 2364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 + 0)*(-k**2 + 5*k - 5*k)*(0 - 2 + 0).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g + 2*g = -8758 - 734. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24189?\nAnswer: 3, 11, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 166*w - 1038. Let s be h(9). Solve -446*k = -s*k + 70 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one sixth of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4204, 4, 4472.\nAnswer: -4204, 4, 4472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times -14\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**3. Let o(p) be the second derivative of p**5\/4 + p**4\/3 - 2*p**3\/3 - 3*p**2\/2 + p. Let f(z) = o(z) + 4*u(z). Calculate f(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -4*o - 3. Let d(b) = -9*b - 7. Let t(a) = 3*d(a) - 7*m(a). Let v(y) = -49*y. Give v(t(j)).\nAnswer: -49*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**2. Let k be 4*(0 - (-3)\/(-2)). Let v(y) = -1. Let s(l) = -24*l - 6. Let q(j) = k*v(j) + s(j). Determine q(f(d)).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4*427 - (-1 - 1). Calculate the common denominator of (-1729)\/v + (-2)\/(-5) and 31\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 480 and 15159440.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -20 + 2 - (-12 - -13).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.03 + 1.03. Let z = u + -1.00000045. Round z to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -113  (b) -6\/223  (c) 1\/5  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 432897449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12105 and 1440387.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 166 divide 112739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -0.5, 5, 0.5, -194, -7543?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = -6*m - 22 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes after 2:38 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (183\/(-244))\/(7\/(-252)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 35 + -34. Let m = y - -4. Solve 5*h + 4 = 2*q - 3, 3*h - q + m = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6716954?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from iggigg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10011 + 1222?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3214 is divided by 1068.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 81 + -84. What is the tens digit of (-771)\/2*(-1)\/(p\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.577606577 to 3 decimal places.\nAnswer: 1.578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 88\/(-8)*-2*4*7. Suppose -q + 209 = x. Let s = x - -775\/2. Calculate the common denominator of -3\/22 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -5*k + 21, -3*m - m + 16 = 5*k. What is the third derivative of 3*t**2 + 3*t**3 - 3*t**3 - k*t**3 + 3*t**3 wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -71\/15 + 46\/15. Which is the third smallest value?  (a) -1\/5  (b) w  (c) 2\/7  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*s**3 - 8*s**3 + 12 + 0*s**4 + 23*s - 11 + s**2 + s**4 to the form z*s**4 + m*s**2 + k*s**3 + t*s + r and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 197 = -2*v + f, 3*v + 276 = -2*f - 3*f. Let h be v + 98 - (-1 - -3 - 3). Solve -2*c = i + 6, i + 26 = 5*i - h*c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5*(-2 + (-36)\/(-15)). Suppose 5*j + 2*c - 12 = 0, h*j + 2*c = 4*c + 2. Solve -j = -l - 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 7*m**2 - 9*m + 9. Let g(f) = -f**2 + 10*f - 13. Let j be g(9). Let q(c) = 3*c**2 - 4*c + 4. Determine j*z(h) + 9*q(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = 4 - 22. Let b = n + -4. What is the second derivative of -21 + z**2 + 21 + b*z wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -977.1847608 rounded to zero decimal places?\nAnswer: -977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from yafuyqyufuf.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 200*g = 232*g - 47392. Calculate the remainder when g is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 2 = -4. Let m be 3 + v + 48\/(-21). Let r = 17 - 12. Which is the second biggest value?  (a) m  (b) r  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes before 8:36 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 2*f. Let g(a) = -3*a**2 - 114221. Calculate c(g(r)).\nAnswer: -6*r**2 - 228442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Total of -132 and -821.\nAnswer: -953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 168 + -1341\/8. What is the nearest to 0.2 in 0.1, q, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5565754 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 56699 divided by -6?\nAnswer: -56699\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -64640*i**3 + 78 + 75 - 153.\nAnswer: -64640*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - -1 - (6 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 17912 and 6717.\nAnswer: 53736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m**2 + 4*m**2 - 2*m**2)*(2 - 2 + 3) - 3 + 17*m**2 + 3.\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-6)*x**(-5\/2)*x**(-3)*x*x**(-5))\/((x\/(x\/x**1))**41\/(x**(-4)\/x**(1\/5))) assuming x is positive.\nAnswer: x**(-607\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:37 AM and 5:47 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 3 b when four letters picked without replacement from brbrjrjrbrrjjrjr.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 171*l = -4*o + 172*l - 6, -5*l + 5 = 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z - 59 = -45. Let u = z + 2. Suppose x = 1, -5*x + 4*x - 123 = -u*k. What are the prime factors of k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -4*n + 65, -14 = -y - 2*n - 1. Suppose -y = s - 2*s. Suppose o - 101 = -s. Calculate the highest common divisor of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5\/4?  (a) 1.3  (b) 1  (c) 3  (d) -97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z = -2*a - 2 - 0, a - 29 = 4*z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 4 = 25. Let o = 74 - j. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 909*((-1372)\/(-210) - (-1)\/(-3 + -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-23)\/(-345))\/(12\/15)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 9\/10 of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 19*q = -19, 2159*k + 4*q = 2158*k - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yfyfsyfffyfyfuyys. What is prob of picking 1 s and 1 f?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -14432 + 40351?\nAnswer: 21515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 2, r: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 + 0)\/(2\/10). Let s be h\/(-2) - (1 + -1). Let i = 1\/2 - 1. What is the biggest value in s, i, 3\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -285506 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of 40 and 3.1.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10501, 21448, 32373, 43264, 54109, 64896?\nAnswer: 75613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the second derivative of n**4\/12 + 3*n**2\/2 - 6*n. Let f be p(0). Suppose -f - 7 = -s. What is the smallest common multiple of 12 and s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 521112, 4168895, 14070066, 33351333, 65139404, 112560987, 178742790, 266811521?\nAnswer: 379893888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2918814*a*g**3 + 9*a*g**2 - a*g - a + 2289671*g**3 - 3*g**2 + 5 with respect to a.\nAnswer: -2918814*g**3 + 9*g**2 - g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5500 less than 104486\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1128*l**4 + 6*l**3 - 19*l - 493534?\nAnswer: -4512*l**3 + 18*l**2 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 115 - 381 + 3*l**2 + 142 + 2*l + 149 to t*l + b*l**2 + x and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1*3*754\/(-174)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.5?  (a) -3  (b) -4  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i + 0 = -c + 8, -5*c + 4*i + 18 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:06 AM and 7:10 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 280, 2216, 7412, 17476, 34016, 58640, 92956, 138572?\n\"Answer: 268*z**3 + 22*z**2 - 6*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (56 + 97 + 3*x - 83)*(-1 - 2*x**2 + 1).\nAnswer: -6*x**3 - 140*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**2 - 665. Let z(m) = 52541*m - 52541*m - 12*m**2. What is a(z(t))?\nAnswer: -144*t**4 - 665","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 85897038 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -217*t - 189*t + 29*t**5 + 383*t wrt t.\nAnswer: 580*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1*1 - (5 - 8). Suppose 0 = l - j, 67 = 5*g + l. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4641*a*h*v*x - 11*a*h*x - 2*a*v - 309*h*v - 21*h - 7*v*x wrt a.\nAnswer: -4641*h*v*x - 11*h*x - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 10346*q**3 + 187*q - 2*q**4 - 10347*q**3 + 0*q**4 as n*q + a*q**2 + i*q**3 + f*q**4 + p and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 32.1 - 32. Which is the nearest to g?  (a) -1\/4  (b) -4  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 22 + -130333310?\nAnswer: -130333222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, b: 1}. What is prob of picking 2 o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(8\/5)\/q)\/q*q*q*q)**(-11))**(-1\/18) assuming q is positive.\nAnswer: q**(143\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*q - 120 = -12*q. Does 30 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 305 at least as big as 305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 2*z + 9. Suppose 6*s - 1560000 = z*s. Round s to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78160 is divided by 447.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 292046831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.087 - -0.187. Let h = 6.9 + -7. Let x be 1\/4 - 118\/(-8). What is the nearest to h in x, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 14*d - 140. What is the remainder when 25 is divided by h(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 5*p - 130613, 0 = 5*h + 2458*p - 2463*p - 217715. What is the ten thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 106.8776 tonnes in kilograms?\nAnswer: 106877.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -4\/11029847?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -243*s - 20165. Calculate r(-83).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the first derivative of 5*g**2\/2 - 2*g + 2. Suppose 4*c + 3 = 3*c, 4*c = -3*p - 12. Suppose -i - 2 = -4*u, p = 2*i + 2*u + 2*u + 4. Determine h(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((4*sqrt(104)*-1)\/(sqrt(64)\/(sqrt(16)\/sqrt(2))))**2*-2.\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3800) + (sqrt(3800) - (sqrt(3800) + -1*sqrt(3800) + sqrt(3800)))*2)\/(sqrt(14)\/(-1*((sqrt(7) - sqrt(21)\/sqrt(3)) + sqrt(7)))).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 8 + -14 - (-3 - 47). Determine o, given that 4*o**3 - 14*o**3 - 47*o**4 - n*o**4 + 96*o**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0\/1 - 1)*129*(-15)\/1305. Do a and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.12  (b) 82  (c) -0.5  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1683381 rounded to the nearest one thousand?\nAnswer: 1683000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41 = -10*g + 1. Let l = 8 + -15. Let d = g + l. Is d greater than or equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 366*j**5 - j**4 - 40*j**2 + 3?\nAnswer: 21960*j**2 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*p**4 + 4*p**4 - p**4 - 5*p**4 + 3*p**4 + 4*p**4 + 2*p**4 + p - p + (p**4 - p**2 + p**2)*(-4 + 0 + 3) - 10*p**4 + 31*p**4 + 28*p**4.\nAnswer: 53*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, -3\/2, -1919, 280, -5 in decreasing order.\nAnswer: 280, 2\/7, -3\/2, -5, -1919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-19 - o + 43 - 20)*(2 - 5*o - o + 5*o + (2*o - 2*o - 8*o)*(2 + 7 - 3)) to c*o**2 + m + y*o and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.2  (b) -1  (c) 5  (d) 6\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 38 + -22 - 33 - (1 + 0 + -7).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -251*g + 120619. Is o(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 91 and 2500.\nAnswer: 227500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -31*t**2 - 827*t - 2189. Determine g(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 5*h**2 - 5. Suppose 0 = -46*x - 0*x - 184. Let a(p) = 3*p**2 - 2. Determine x*t(y) + 10*a(y).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {g: 2, d: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 63.34665417954 - -0.65334600646. Let i = 64 - o. What is i rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + -6 + (1 - -2) + 24 + -28 + -29?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ptl when three letters picked without replacement from {l: 7, q: 2, p: 3, a: 4, t: 1}?\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + -1. Let c = 0.1 + i. Let k = c + -0.1. Is 1\/2 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + o = -11, -2*x + 5*o = -19 + 3. Let l(w) be the second derivative of -5*w**3\/6 - 5*w**2\/2 - 2*w. Let m(r) = -4*r - 4. Calculate x*l(a) - 4*m(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 660993358 is divided by 1388.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 370707 to the power of 1\/2, to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 4049 = -411. What are the prime factors of b?\nAnswer: 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -7*(1*84)\/(-6). Suppose 2*d + g = 100. Let s(a) be the first derivative of -15*a**4\/4 + a + 2. Calculate s(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1, -13, 17 in increasing order.\nAnswer: -13, 1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 1 - (20 + -4 + -13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 2*i**2. Let h(r) = 15185*r**2. Determine h(c(d)).\nAnswer: 60740*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 71260235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -43901, -43903, -43907, -43913?\n\"Answer: -d**2 + d - 43901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jppljplpjppjljl. Give prob of picking 1 p, 2 l, and 1 j.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39049?\nAnswer: 17, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - 4. Let j = -34\/93 + 1\/31. Which is smaller: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -84*o**2 - 15535*o + 886. Give i(-185).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.07?  (a) -568  (b) -4  (c) 0  (d) -0.3  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 111\/2740 and -35\/1096.\nAnswer: 5480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 10*m**2 - 15*m + 55. What is the tens digit of c(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7862 (base 9) to base 12\nAnswer: -343b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1128.87 + 1134. Let z = -0.13 + g. Which is the third smallest value?  (a) z  (b) 6  (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 446004 and -2?\nAnswer: -892008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -36*n - 31. Let a(g) = -2*g. Give a(c(m)).\nAnswer: 72*m + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 + 672888?\nAnswer: 672889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -61?  (a) 1  (b) -3\/2  (c) 348  (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 44*y**2 + 9*y + 4. Let r be n(7). Calculate the common denominator of r\/594 - (-1)\/(-3) and 119\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1 + -3 + 57\/(-10) and -61\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 156 a factor of 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -2*u**5\/7 + 186*u**4\/7 + 194*u**3\/7 - 562*u**2\/7 - 192*u\/7 + 376\/7 = 0.\nAnswer: -2, -1, 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e and 1 n when four letters picked without replacement from {n: 1, x: 5, e: 4, t: 5}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**3 + 4*n**2 + 2*n. Let b(k) = -k - 2. Let c be b(2). What is q(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -70, -86, -116, -166, -242?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -7*h**2 + 4*h - 2. Let j(l) = -15*l**2 + 9*l - 6. Give -3*j(m) + 7*o(m).\nAnswer: -4*m**2 + m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -1109*n + 481. What is t(2)?\nAnswer: -1737","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**3 + 2*u**2 + 15*u + 8. Let k be m(-4). Let w be k\/10 + (-3 - -2) + 0. Which is greater: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2543 less than -73596201093?\nAnswer: -73596198550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 + -80 + (29 - -16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 325*r + 7161. Give l(-22).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 5*u**2 - 14*u - 132. Is x(-25) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (24\/10)\/((-1)\/(-5)). Suppose -4*d + 8 = -4. Suppose r = -d*g - g. Let c(n) = n. Give c(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the first derivative of 5*c**4\/4 - 4*c**3\/3 - 2*c**2 + 37. Let n(y) = 5*y**3 - 5*y**2 - 5*y. Calculate 5*d(a) - 4*n(a).\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -2*l**2 + l - 1. Let q(w) = 20*w**3 + 7*w**2 + 105*w + 4. Let c(u) = 4*p(u) + q(u). What is the second derivative of c(g) wrt g?\nAnswer: 120*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 390714234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*a + 188087 - 188036 = 4*a for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(4455) + sqrt(4455)*-1 + sqrt(55))\/(sqrt(25)\/(-2*sqrt(5))) + ((sqrt(99) - (sqrt(99) - (sqrt(99) - 2*sqrt(99))))\/sqrt(3))\/(sqrt(300)*-1).\nAnswer: -19*sqrt(11)\/10 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes before 9:08 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3118964*g + 2704291*g - 5817599*g.\nAnswer: -6232272*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -59 - -1344. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(-14)*-1)\/((-3608)\/(-1148))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73 is divided by 31?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 221.1 - 9.1. Let q = -40298 - -40087.41. Let i = b + q. Round i to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 131*q = 133*q. Solve 3*r - 3*o + 5*o - 2 = q, 2*r + 2*o + 2 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 18*q - 21. Let r(j) = 17*j - 21. Suppose 0 = 23*h - 25*h + 12. Let v(a) = h*i(a) - 7*r(a). What is the first derivative of v(n) wrt n?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 210\/(-49)*((-42)\/10)\/(18\/(-30))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 16*n**3 - n + 1. Let r be y(1). Suppose -i - 16 = 4*w, -4*i = -9*i - 4*w - r. Solve 2*g - 4*p + 6 = i, -4*g = g - 4*p - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 230 and 1863.\nAnswer: 18630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 + 4 - -1) + 5 - 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express r + 184*r**4 - 192*r**4 - 213*r**4 - 5*r**2 + r**3 in the form z*r + g*r**2 + b + x*r**4 + o*r**3 and give x.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*l - 14 = -4*j + 15, -4*l - 3*j - 6 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 3*n + 2*f - 34, -5*n = 4*f - 52. Suppose -150 = 2*d + 2*i, 0 = i + 1 - 5. Let t = -58 - d. What is the smallest common multiple of t and n?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (3 - 4) + (-3 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -172 + 184. Let d be (6 + 135\/(-20))*o. Solve -2*a = -g - 12, 0*g + d*g + 26 = 4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(((-90)\/105)\/(-2))*1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**2 + 150411*f - 150408.\nAnswer: -3*(f - 50136)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 + 55 = q. Suppose 0 = 7*c - 2*c - q. What is the highest common divisor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10311, 10309, 10293, 10257, 10195, 10101, 9969?\nAnswer: 9793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide (-5430)\/(-3 - -4 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9873 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 2 = 3*k. Suppose 4*u - 10 = 2*n, -8*n + 4*n - 5*u + 45 = 0. Calculate the lowest common multiple of n and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 154281 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 347 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -8260 greater than or equal to -8266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18*s**2 - 2*s - 12 + 49 - 38 to v*s**2 + x*s + r and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 a factor of 150480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1201134 is divided by 1694.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 v when three letters picked without replacement from {q: 1, v: 4, z: 4, g: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 - 255?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 22 = 3*p, 3*b - 8 = -2*p + b. Let k be p\/(4\/(-12) - 0). Suppose 16 = k*i - 8. Is i equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*o**2 + 0*o**2 + 2*o**2 + o**2 to j*o**2 + c + p*o and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10906 + 18447. List the prime factors of o.\nAnswer: 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**2 + 3*t + 2. Let a be g(-4). Let b be ((-120)\/(-75))\/((-3)\/(-15)). Let m be 72*(16\/3)\/b. What is the highest common factor of a and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -6*z**5 - 4798*z**4 + 20872*z**3 - 25720*z**2 + 6432*z = 0.\nAnswer: -804, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 1248 divide 20258880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000447501 rounded to 6 dps?\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1464 times -5?\nAnswer: 7320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 66*v - 61. Let y be m(1). Solve -y*a - 25 = -5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 + -1. Let d be (-3)\/(-9)*0\/3. Solve d = -0*f - j*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 3*h = 9 + 21, h + 18 = -4*x. Put -2, -14, 154, x in descending order.\nAnswer: 154, -2, x, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -364, -491, -694, -973, -1328, -1759, -2266?\nAnswer: -2849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 25 + -1536513?\nAnswer: -1536455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*q**2 - 2 + 3*q**2 - q**2 as t*q + s + c*q**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13433, -8946, -4459?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -110210550 (base 6) in base 9?\nAnswer: -3642353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i + 5*i + w - 16, 0 = 5*i - 3*w - 51. Suppose i*n + 4*n - 1989 = 0. List the prime factors of n.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5839448 * 1\nAnswer: 5839448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 82 - 80.1. What is the third smallest value in 4, -0.1, -2\/9, m, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = 4*c - 105, -2*m - 3*m + 175 = 3*c. Suppose 5*u = 130 + m. Is 2\/(-11) - (-897)\/u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (696*10\/400)\/(33\/(-55))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 2*f**3 - 3*f**2 + 3*f + 1. Let s be v(3). Suppose -23 - s = -5*n. What is the highest common divisor of n and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 321 + -333. Let m be (3 - 57\/9)\/(2\/o). Solve m = -v + 5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.37549182 minus 776?\nAnswer: -756.62450818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4700)\/(-80)*(-24)\/(-580) - 15\/6.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*g**2 - 713 + 681 + 0*g**2 in the form z*g**2 + k + d*g and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 47121019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 49 - -2197. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -123, -484, -1093, -1956, -3079, -4468, -6129, -8068?\nAnswer: -10291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p\/(p*p**1*p)))**(6\/19)*(p*p**(1\/4))**49 assuming p is positive.\nAnswer: p**(4727\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 145\/3102 and 89\/1034.\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = 25, -q + 4*j + 34 = 2*j. Let s = q + 69. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 45\/10*(-12)\/9. Calculate the remainder when 87 is divided by -1*-33*(-4)\/p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 5, -66, 0.5, 3, -1\/383, 8, 1?\nAnswer: -1\/383","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.833 - -80376480?\nAnswer: 80376473.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 46.2 - 46. Let x = 0.34 - l. Let q = -0.26 - x. What is the third smallest value in -0.7, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 23254247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2146 - -2151. Solve -n*b - 44 = -54 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-3 - -2)\/(7 - 22580\/3225)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13055 - 25678 + 3230 + 2274 - 30019)*((3*n + 0*n - 2*n)*(0 - 4 + 3) + 5*n - 4*n - 3*n + 0*n - 2*n + n).\nAnswer: 252992*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 115809326 smaller than 115809323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 25 - 0 - ((-75 - -76) + (7 - 0))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 187 = 2*m - 63. Let w = 22356 + -22331. What is the greatest common divisor of w and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -4*s + 1 + 0 + s**2 - 6. Let d(u) = u**3 - 41*u**2 + 79*u + 36. Let f be d(38). Let c = 1298 + f. Give g(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1399\/33 smaller than -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 0*x = 0. Suppose -3*r + x*r = -z - 165, 2*r - 100 = 4*z. Suppose -v + 5*v = r. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 184.893356 rounded to zero dps?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -8 and 1065.885.\nAnswer: -8527.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2151 is divided by 494?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-11 - -12) + 0 + -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 + (138316 - -12)\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101464291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + z = -18. Suppose g = -2*y - 4, -8*g + 5*y + 5 = -13*g. Solve n - g = -z for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(-2)*(-5 - -1). Let i be (-75)\/(-21) + (-4)\/7. Suppose -j - i = -4*j. Which is smaller: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of r**8\/420 + 3*r**7\/35 + 23*r**6\/120 + 17*r**5\/120 - 42*r**3 + 175. Let h(p) be the third derivative of m(p). Factor h(j).\nAnswer: j*(j + 17)*(2*j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0089513 rounded to 4 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1085300 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - (5 + 0)) + 3 - 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(16)\/sqrt(72) - (sqrt(2) - (sqrt(288) - -3*sqrt(288)))**2.\nAnswer: -4418 + sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1455, -2079, -3119, -4575?\n\"Answer: -208*c**2 - 1247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 0 + 26 + -27.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 445517250 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 3*t**3. Let z be d(1). Suppose 5*b + 5*g = -10, 2*b - 4*b - z*g - 6 = 0. Solve -4*j - 2*s - 3*s = -9, j - s = b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + 2 + (-1 - -2). Suppose 5*x = i*b - 35, 3*b + x = -2*x. Let r = b + -1. Calculate the least common multiple of r and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -61 - (-118 + (83 - 66))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the second derivative of c**4\/6 + 4*c**3\/3 + 4*c**2 + 28*c. Let v be (1 + 0)\/(5 + 217\/(-42)). Let k(b) = -2*b**2 - 7*b - 7. What is v*k(w) - 5*q(w)?\nAnswer: 2*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 + (-45)\/(-30))\/((-5)\/(-2))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2220)\/333*9\/(-14))\/((-9)\/(-42)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 1648*f - 12010. What is the thousands digit of m(28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-39)\/13*(-3127)\/(-159).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 936*w + 17840 + 30458 - 3574 - 8220 for w.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*a**3 - 245*a**2 - 505*a - 255.\nAnswer: 5*(a - 51)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - 8) + 1 + 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**3 - 3*a**2 + a - 3. Let j be r(3). Suppose j = 5*v + 3*s - 11, 5*s - 11 = -3*v + s. Let w = -189 + 190. Solve -v = -p + w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -76 - -76. Let l(z) = -z**3 - z**2 + z - 20. Let p be l(0). Let b = -14 - p. Solve m*t - 2*t = b for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6406453?\nAnswer: 1019, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70)\/(sqrt(120)\/(sqrt(60)\/sqrt(5))))**2 - sqrt(77)\/(sqrt(11) + sqrt(176) + -1*sqrt(176) + sqrt(176) + sqrt(11)).\nAnswer: -sqrt(7)\/6 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 219094?\nAnswer: 2, 109547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the third derivative of -61*g**4\/24 + 3*g**2 + 6*g. Let w(n) = -24*n**2. What is w(j(s))?\nAnswer: -89304*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 40\/(-16)*(6 - 34\/5) - 2. Which is smaller: s or 19\/44?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 145\/18 and -115\/14999824.\nAnswer: 134998416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 2 = -0*w - w, -4 = n + w. Let j = 2 + -3. Let x = n - j. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1617*g - 3188*g + 1564*g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*n**5 + 2 - 2 + (n**2 + 2*n**2 - 2*n**2)*(-n**3 + 7*n**3 + 5*n**3) + (-4*n**3 + 3*n**3 + 2*n**3)*(10*n - 10*n - n**2).\nAnswer: 8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 5*m - 3*f - 225, 275 = 5*m - 5*f. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000207487 to seven decimal places.\nAnswer: -0.0000207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1366 - 55225?\nAnswer: -56613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 12\/(-14)*(1790\/1074)\/(((-675)\/(-70))\/1)\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 24*n**3 + 116*n**2 + 6*n - 1301895 with respect to n.\nAnswer: 72*n**2 + 232*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 104142329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9 - 26. Let x = -5 - r. Calculate the remainder when 33 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 60*b + 110*b - b + 48*b**2 + 108*b**2 wrt b.\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22001 (base 4) in base 9?\nAnswer: -782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.1484 - -2.2484. Sort 0, -2\/13, 2, -0.8, y in descending order.\nAnswer: 2, y, 0, -2\/13, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 PM and 8:49 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (61*(-784)\/(-27328))\/(1\/(8\/26))?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 132915146?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes after 2:50 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 2*k**2 - 5*k + 16. Suppose 0 = -10*o + o. Suppose o = 2*g + z + 17, g + 2*z = 3*g + 14. Is y(g) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, 2, 1272, 109, 4 in ascending order.\nAnswer: -2\/9, 2, 4, 109, 1272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 8, 36, 66, 86, 84, 48, -34, -174?\n\"Answer: -2*m**3 + 13*m**2 + 3*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -401a0bc (base 13) to base 6.\nAnswer: -1530524002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((58387\/(-741) + 79)*(-6)\/4)\/(0 - 2)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -49 + 71. What is the remainder when t is divided by 10*6\/20*4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 20\/127 - 4037\/635. Find the common denominator of 119\/6 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1818 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0\/(-2)*(-5 + 6). Suppose c = a - 5*a. Suppose 4*b - 4*d - 32 = a, 3 + 12 = -3*d. Solve 5*i + 8 = b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -27 - -45. What is the remainder when 68 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**2 + 12*q - 9. Let u be c(8). Let n = u - 139. Let t be (-15)\/(-4) - 3\/4. Solve -4*r = -4*s + 20, -r = t*s - n - 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 3926420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2\/((64\/(-30))\/16)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 191\/170400 and -53\/142.\nAnswer: 170400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5499\/2 + 3063. Let u = -196 - -498. Let f = u - w. Find the common denominator of -25\/6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16838?\nAnswer: 2, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -2*h + 3*u + 6, -3*u = -h + 10. Let a be (-40)\/15 - 6\/(-9). Let c be (h\/8)\/(a\/20). Let q(b) = b**2 + 4*b - 7. Calculate q(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/13 in -7, 0.2, 0.35, -5, 301.8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - (-35)\/15)\/(2\/(-3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -459 + 363 = -26*q + 296 + 310 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l + 5*n = 13, 4*n = l - 0*l + 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 70 by -255.\nAnswer: -14\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the second derivative of 0 + 0*g**5 - 1\/12*g**4 + 0*g**3 + 2*g + 0*g**2 + 1\/30*g**6. Factor l(n).\nAnswer: n**2*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -853561212 and 31.\nAnswer: -853561181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**2 + 6. Let f(y) = -y**2 + y + 5. Suppose 4*d - 20 = 2*b + 4, -32 = 5*b - 3*d. Let p(l) = b*n(l) + 5*f(l). What is the units digit of p(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2\/6 - 1)\/(20\/30). Suppose i = 4*j + 2*i - 7, -5*j - 2*i = -11. Which is the nearest to j?  (a) 0.3  (b) 4  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 6) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -207 + 208.5. Let i = v + -6.5. Which is the third smallest value?  (a) -1\/5  (b) i  (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/3?  (a) -1  (b) 0.6  (c) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**3 + 2*k**2 - k + 27. Let z be o(0). Let l(t) = -t**3 - 2*t**2 - 3*t - 3. Let x be l(-2). Calculate the greatest common divisor of z and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19 - -73. Let n = -2 + -47. Let o = m + n. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 4*r = -25, g - 3*r = -2*r. Solve -g*x = -2*n + 12, -5*n + 1 - 25 = x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -18*d + 12*d - 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -6*u + 679. What is t(122)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 28?  (a) -5  (b) 32  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + 50 - 38 = 0. Factor o - 82 - 155*i + 42*i**2 - 32*i**2.\nAnswer: 5*(i - 16)*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the third derivative of 17*r**5\/60 - r**2. Let s(i) be the second derivative of 2*i**3\/3 + 90141*i. Determine s(l(a)).\nAnswer: 68*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 127\/6 and 37\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert c (base 13) to base 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(1*4*(sqrt(77) + (sqrt(77) - -2*sqrt(77)))*6)\/(-6*(sqrt(99) - ((sqrt(99) - -1*sqrt(99)) + sqrt(99) - sqrt(99))*-1)).\nAnswer: -32*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(170)*1*5)\/(5*(sqrt(160)*-2 - sqrt(10))) + 1.\nAnswer: 2*sqrt(17)\/9 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:34 PM and 7:36 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-7)\/6*(-145)\/7 and (-8)\/(-10) - (-9 + 11\/(-22)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4803.3803 - -1.6197. Which is greater: -2\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -418 or -627?\nAnswer: -418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*d + 5*a - 31, 132*d - 135*d - a - 28 = 0 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5, 23, 83, 175, 299?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -22771.5 rounded to the nearest one hundred?\nAnswer: -22800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -13 divided by -1346067\nAnswer: 13\/1346067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68 = 4*d - 4*v, d = 3*v - 5*v - 2. Let u be 1606\/18 + d\/54. Suppose 4 = -i, -2*l + u = -2*i - 5. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (8 - (-2 - -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 76666.\nAnswer: 2, 38333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 5 = 5*i, m + 99 = -3*i + 102. Solve m = 11*t - 33 - 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - -3) + 3 + 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**2\/8 + 5*p\/8.\nAnswer: -p*(p - 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 941 - 941.5. Which is the third biggest value?  (a) 0.04  (b) 0  (c) 0.4  (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1569493?\nAnswer: 79, 19867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 7) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.1447 * -0.03.\nAnswer: -0.034341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*l = -332 + 211 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 953824 and 8528?\nAnswer: 12399712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -216 - 0.544?\nAnswer: -216.544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**3 - 7*w**2 + 36*w - 18. Let y be c(3). Let r = -4.5 - -7. Let g = r - 0.9. What is the nearest to y in -0.4, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, 4, 5158595?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) 2  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = 2*w - 4. Determine h, given that -1 - 4*h - h**2 + w*h + 4*h = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -228131.4 to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = w - 3, -4*h + 43 = 5*w - h. Suppose u - 300 = 161. Suppose 101 - u = -w*q. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -143 - 605?\nAnswer: -1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 38, 44, -3, -558, -1 in descending order.\nAnswer: 44, 38, -1, -3, -558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.69 + 0.49. What is the second biggest value in 0.3, 3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 298 - 298 + 205*l**3 - 78*l**3 - 100*l**3.\nAnswer: 27*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16 + -10 + (-4704 - -3)\/(-3).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, -44, -3, 1, 0.3, 0.4?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 889136387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 202999944 divided by 14499996\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -3*q - 2. Let z be j(-2). Suppose 5*o + 3*m + 0*m = -37, 2*m + 18 = -2*o. Put o, 0, z in decreasing order.\nAnswer: z, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16272 and 11664.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 99.57 + -105.57. What is the nearest to -1\/89 in 2\/9, m, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -0.742  (b) 2  (c) -135  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 476, 473, 468, 461, 452, 441?\n\"Answer: -k**2 + 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 539 and 1958.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(-10)\/(-18)*(-27)\/(-45)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 271187 (base 10) in base 15?\nAnswer: 55542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 2*v - 0*g - g, -2*v - 5*g = 12. Put v, -3, -8, -2 in decreasing order.\nAnswer: v, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3974117 a multiple of 623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**4\/6 + 1160*u**3\/3 + 792044*u**2\/3 + 46107680*u + 2369855256.\nAnswer: (u + 114)**2*(u + 1046)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(189) + sqrt(189) - sqrt(189)) + sqrt(189) + sqrt(189))*6 + sqrt(189))\/sqrt(3).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -4, 16, 0 in descending order.\nAnswer: 16, 6, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2266, 4536, 6812, 9100, 11406, 13736, 16096, 18492?\nAnswer: 20930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1365 - 0?\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d - 20. Let r be g(-9). Let s = r - -13. Suppose 13 = s*p - 17. Solve -4*j + 10 = 2*y, -3*y - j + 2*j = -p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:02 PM and 5:00 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 33 and 408?\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 4, y: 1, r: 1, i: 4}. What is prob of picking 1 r and 1 i?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -375 + 155. Let i = 153 + o. List the prime factors of -1*(i - (-3 - -3)).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -107\/1638 and 103\/206520.\nAnswer: 56379960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 3*j - 34 = -0*j, 0 = -5*p - 5*j + 120. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3990\/1680*(-6)\/57*-1*8*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 245*z. Let o(t) = -t - 1. Determine r(o(d)).\nAnswer: -245*d - 245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 591.8 - 595.8. Let i = -3 - -3.5. Which is the second smallest value?  (a) w  (b) i  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 2*m + 668, -3*m - 494 - 499 = 3*u. Let n = m - -226. Let y = 2 - n. Is y a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*v = 16*v - 7. Suppose 8*r - 46 = v*r. What are the prime factors of r?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = -r + 122 + 868, -s = -5*r - 237. What is the remainder when s is divided by 48?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/((n*n**(-4\/11))\/n)*n**(1\/12)*((n\/n**(-6\/7))\/n*n)\/((n*n\/(n*n**28))\/n) assuming n is positive.\nAnswer: n**(28925\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 202 divide 3834507016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from {m: 5, d: 1, b: 3, g: 6, o: 2}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k - 2*k + 2*k)*(-1 - k**2 + 1)*(3 - 2 + 0)*(-k - 4*k + 4*k).\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 45 + -9?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 38 - 26. Suppose h - u = -h. Suppose 4*r = -x - 9, -h = -x - r + 2*r. Solve 3*o - x = -q - 15, 5*o = -2*q - 19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 12449, 12166, 11687, 11006, 10117?\n\"Answer: -d**3 - 92*d**2 + 12542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -259 + 259.000000953. Round t to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x = -6*x + 15, 25 = -j + 5*x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((12\/(-96)*2)\/(-1))\/(1\/(-12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 101*j**3 + 17*j**3 + 136*j**3.\nAnswer: 254*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1 and -20654081.\nAnswer: -20654080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(1008) + 2 + -2)**2 - ((-3*sqrt(7))**2*2 + -1*sqrt(7)*4).\nAnswer: 4*sqrt(7) + 882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15 - -21. Calculate the remainder when (4*-2)\/((-2)\/4) is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*g**2 + 9*g**2 + 0*g**2.\nAnswer: 19*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (7 + -35 - (7 - (-9 + 21 - 3))) + -14\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) 1\/4  (c) 1407\/8  (d) -232  (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is seven thirds of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**3\/5 - 37257*j**2\/5 + 73208751*j - 69873353935.\nAnswer: (j - 18095)**2*(j - 1067)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 13 = c, -o + 3*c = 5*c - 11. Let y = 6 - 5.6. Let h = y + -0.5. Are h and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -187 + -2015a8?\nAnswer: -201784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the second derivative of 1\/5*s**5 + 0 + 0*s**3 + 8*s - 7\/12*s**4 + 0*s**2. Find the third derivative of y(g) wrt g.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -34*a - 9*a + a**2 + 66*a + 5. Let x be v(-23). Solve 8 = -x*h + 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10 + 1 + (-2904356)\/(-182)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*q**2 + 37*q**3 - q**3 + 17*q**3 + 34*q**3.\nAnswer: 87*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 39 - 39 - 4*w to k + a*w and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.486168 - -62324.1?\nAnswer: 62314.613832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the first derivative of s**3 + 1. Let i be 18\/27 - ((-68764)\/12 - 3). Let y(l) = i - 8*l**2 - 5734. Calculate y(d(m)).\nAnswer: -72*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 2*s. Let u be j(1). Suppose 3299975 = -3*o + 6*t - t, -o = u*t + 1100010. What is o rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 315302.8 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3108300 in -1, 1\/3, 0, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (59*i**3 + 2*i**3 - 136*i**2 - 62*i**3)*(0 + 3 + 2)*(-1 + 2 - 11) + (3*i**2 + 0*i**2 - 4*i**2)*(-2*i + 4*i - i).\nAnswer: 49*i**3 + 6800*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.43 + 4.57. Suppose -2*z + 0*z = -4*t, 5*z = 2*t. Which is the closest to t?  (a) -2\/11  (b) o  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -6*l**2 - 1. Let c(d) = 4*d - 56*d**2 - 4*d + 55*d**2. Calculate r(c(n)).\nAnswer: -6*n**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1638 + 1456 = -182*f for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -152 - -2 - (380 - 465)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2)\/5)\/(0 - (-2)\/(-5)). Suppose -1 = 3*s - o. Which is the second biggest value?  (a) -0.3  (b) 1\/4  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 5.948197 millilitres?\nAnswer: 0.005948197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 + 13 - 2 - -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 552.47 + -550. Let u = -0.27 + o. Let b = 2.1999924 - u. What is b rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, -12029, 3, -2\/31 in descending order.\nAnswer: 3, -2\/31, -24, -12029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -904838 - 3?\nAnswer: -90483b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 2*r = 4*r. Suppose -24*q + 26*q - 86 = r. Calculate the remainder when q is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 229 in -3, -0.425, 14.6, 1?\nAnswer: 14.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -34731*b**5 + b**4 + 334120*b.\nAnswer: -694620*b**3 + 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + 2 + 8 + -11 + 10 + -42.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.044 + -29.044. Let n = -4.447893 + -24.552179. Let t = f - n. Round t to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*29.\nAnswer: 14.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 3*v**3 + 387*v**2 + 11669*v + 439. Give w(-81).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -27 + -24. Let q = -29 - c. Suppose -q = -3*n - 7. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 12 or 757.98?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**3 - 6*l**2 + 3*l + 3. Let m be f(5). Sort 5, 3, -5, m.\nAnswer: m, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (96\/(-512)*-12)\/(4\/((-96)\/9))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 85708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 107208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 303641082.\nAnswer: 2, 3, 79, 109, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 2 + 1)*(5 - 2 - 4)*(12 - 12 + 4*r)*(-16 - 2 - 23)*(11 + 10 - 10) to the form c + f*r and give f.\nAnswer: -1804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 928994.\nAnswer: 2, 11, 42227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 41656 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 112290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100001100101000101111111 (base 2) to base 14.\nAnswer: 1251d95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 244775 divided by -2\nAnswer: -244775\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i + 16. Let b(m) = m - 33. Determine -5*a(t) - 3*b(t).\nAnswer: 2*t + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -56 - -53. Let b = 0.8 + -0.8. Suppose 0 = 5*d + 4*d + 36. What is the closest to b in z, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -14 - 6. What is the remainder when 50 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 64.\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Do -58 and -389.15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the second derivative of 1\/6*g**3 - 5*g**2 - 3 + 1\/2*g**4 + 3\/10*g**5 - g. Find the second derivative of u(w) wrt w.\nAnswer: 36*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.7 + 2.87. Let c = 5.8 + -5.5. What is the third biggest value in -2, g, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000098481509 rounded to 7 decimal places?\nAnswer: 0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, -1\/6, -0.9, 14074 in increasing order.\nAnswer: -0.9, -1\/3, -1\/6, 14074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -566*c + 11873. Calculate b(21).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -688346, -688353, -688360, -688367?\n\"Answer: -7*v - 688339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 15032225711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.16 + 20715052\nAnswer: 20715052.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 2*m - 3*m - 5*i, 0 = 5*m + 5*i + 40. Let o be (4\/m - 1)*6\/9. Which is the nearest to o?  (a) 0.3  (b) 2\/15  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2802056429 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-70)\/(-56))\/(2\/8). Suppose 3*w + 2*w - 35 = 0. Let k = w + -8. Which is the nearest to -1?  (a) 2\/9  (b) k  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -60, -310, -964, -2220, -4276, -7330?\nAnswer: -11580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10761 by -3.\nAnswer: 3587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10.5 - 10. Let i = j - 0.3. Which is smaller: i or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*y**5\/3 - 71*y**4 - 1330*y**3\/3 - 2920*y**2\/3 - 768*y - 512\/3 = 0 for y.\nAnswer: -8, -2, -1, -4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/21420 and 119\/54?\nAnswer: 64260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -200*i + 3 - 2*i**2 + 85*i + 0*i**2 - 19 - 58*i as w*i + r*i**2 + y and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 719 or 727?\nAnswer: 727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 234 - 7*x + x**2 - 2*x**4 - 234 in the form n*x**3 + z*x**2 + l*x + a + c*x**4 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -22613 (base 10) in base 13?\nAnswer: -a3a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l - 188 = -0*l - 173, -4*v = 2*l + 14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 3 = 3*k - 11, 3*k = z + 16. Let m(d) be the first derivative of d**4 - d**3\/3 - d**2\/2 - d - 16. Calculate m(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 2*o = 10, 2*l + 1 - 3 = -6*o. Solve -l*q = 20*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1028 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -4*j. Let b be t(2). Let u(y) = -y**3 - 9*y**2 - 10*y - 14. Let l be u(b). Solve -l*m = -4*m + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 2*q**2 + 12*q - 10. Let n be k(-7). Suppose o - n*m = 22, o + 0*o = -4*m - 18. Let c be 2 + -6 + (1 - 1). Put c, -1, o in descending order.\nAnswer: o, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 576 = -474. Let q be ((-144)\/(-28))\/((-9)\/o). Let t(s) = 3*s**2 + 5*s + 3. Let i be t(-3). Calculate the highest common factor of i and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9441674?\nAnswer: 2, 11, 73, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 217316?\nAnswer: 2, 11, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 2*i - 421 - 1364 = 0, 1071 = 3*g + i. Suppose 0*h = h + y - 176, -2*h + 3*y + g = 0. List the prime factors of h.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -166, -5, -7, -0.89, 1\/124?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = 2*d - 11, 2*d + 1 = 3*d. Suppose 5*j - 7*j - 3*z = -1, -j - 1 = 2*z. Is x bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5\/2?  (a) 12  (b) -0.15624  (c) 6  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*k - 45 = 12*k - 5*l, 3*k - 2*l = -22 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u - 3*u + 3*u + (0*u - 4*u + 3*u)*(-1 + 1 - 1) + u + 0*u + u + 5*u - 3*u - u)*(4 + 9 - 3).\nAnswer: 50*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 207\/(-15) + (-1)\/5. Let b be h + 13 + 9\/7. Sort 1\/3, -2\/13, b in decreasing order.\nAnswer: 1\/3, b, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -7, 3, 5090, -0.1, -15, 0.5?\nAnswer: 5090","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -54.51842 rounded to 2 decimal places?\nAnswer: -54.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*o = -24*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add together -5 and 1.0139.\nAnswer: -3.9861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*v = -1868 - 1583 + 3801 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:25 AM and 6:55 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2\/13, 2\/135, 5 in increasing order.\nAnswer: -4, 2\/135, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4672 - 2291. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.154 times -1\nAnswer: 0.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 497180 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 5*c - 20 = 0, -4*c + 23 = 4*y - 3*y. Let m = 24 - 12. What is the remainder when y is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23 - (2 - (-31 + 23))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*a + 7667 = 215*a - 32*a + 11067 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b**2 + 2*b - 2*b + (b + 6*b - 25*b)*(-15*b + 52*b - 3*b))*(-2*b + 2*b + 3*b).\nAnswer: -1833*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-15)*14\/(-112)*8*3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -2*k**3\/3 - 52*k**2\/3 = 0?\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 9\/4, 17, -0.4, 0.2, -4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b - 5*r + 9*r = -6, 0 = 5*b + 5*r + 15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the third derivative of 1\/24*p**4 - 1\/60*p**5 + 0 - 11\/20*p**6 + 2*p**2 + 1\/6*p**3 + 0*p. Is y(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -2485, -2501, -2527, -2563, -2609?\n\"Answer: -5*d**2 - d - 2479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 - -121121201?\nAnswer: 121121112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f - 6. Let j be u(-7). Let k(s) = 5*s - s + 2*s**2 + j - 32*s**3 - 2*s. Is k(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**3 - 12*k**2 - k + 12. Let i be u(12). What is the third biggest value in i, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 20\/(-70) + 144\/14. Is 15 a factor of (-90)\/(m\/(-4) - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -277 by -4073.\nAnswer: 277\/4073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 57 and 11533?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2490 - -2490. Let x = 146\/9 + -16. Which is the smallest value?  (a) x  (b) 4\/5  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 330 or 350?\nAnswer: 350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z + 6*z - z)*(-1 + 1 - 3*z + (2 + 3 - 4)*(-49*z + 14*z + 12*z) + (1 - 4 - 1)*(3*z - 2*z - 3*z) + 0*z - 4*z + 3*z).\nAnswer: -76*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes before 3:53 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 23992579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/(-6) + (-2465)\/(-15). Let j be 36\/p - 4\/(-22). Which is the smallest value?  (a) 2  (b) 2\/11  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (50 + 33 - 59)*(4*y**3 + 3*y**3 - 5*y**3) as a*y**2 + i*y**3 + s + q*y and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 78.15708 + -78.2. Round b to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -44875 and 112.196.\nAnswer: -44762.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9*h**4 - 7 - 85*h + 85*h + 2 with respect to h.\nAnswer: -36*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 870247319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00652915867 rounded to 7 dps?\nAnswer: -0.0065292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fv when two letters picked without replacement from jvffefffefeefeevjfev?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 7*a + 20. Suppose 161 - 81 = 4*j. Suppose 2*o + 0*o = 4*r + j, 0 = 2*r + 2*o - 2. Which is greater: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1331 and 484?\nAnswer: 5324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Are 33\/674 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3460*l - 11 = 3461*l - 4*o, -4*o - 34 = -6*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 20846577 to the power of 1\/2, to the nearest integer?\nAnswer: 4566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -33 + 21*v**2 + 13 + 14 + 8*v + 5 + 10*v**2 as r*v + i + t*v**2 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -2*b**3 + 54*b**2 - 6*b - 25. Give k(27).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange d**4 + 214 - 212 + 2*d**3 - 10*d + 2*d to b*d**3 + m*d + x*d**4 + p*d**2 + c and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**3)**(-1\/78) assuming c is positive.\nAnswer: c**(-1\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -6134 bigger than -24537\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 64\/20 - (-2)\/10*-1. Suppose -4 = -b*i + 2. Solve -27 = 5*x + 3*g, -3*x - i*g = -5*x + 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -100 - -97. Which is the nearest to 3?  (a) -2\/17  (b) r  (c) 9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((42\/(-18))\/7)\/(3\/(-45)). Let z be 4\/2*((-150)\/(-12))\/m. Solve 0 = z*x - 8*x - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 80180144?\nAnswer: 2, 11, 103, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 62\/207 and 39\/4370.\nAnswer: 39330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 2071.9215 minutes?\nAnswer: 1.438834375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 228, -457, -1142, -1827?\n\"Answer: -685*w + 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 6 = x, 2*s = -3*s - 5*x + 30. Factor a**3 - 2*a - 4*a**s + 8*a - 2 - a.\nAnswer: (a - 2)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 81888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1924 = -331*q + 105 - 1160 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*z**3 - 11*z**2 - 194 + z**4 + 4*z**3 + 195 - 6*z**3 + 4*z**3 + z in the form w*z**3 + p + n*z**2 + q*z + y*z**4 and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + 2, -142*n + 5*y = -146*n + 19849. Calculate the remainder when n is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 377, 1113, 2151, 3491, 5133, 7077, 9323?\n\"Answer: 151*y**2 + 283*y - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-500)\/(-24))\/((-43)\/20640*-200).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -273 - -319. Is a > 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 856 + -866. Put -5, z, 0.8 in descending order.\nAnswer: 0.8, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 245438051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10479 + -7932. What is the remainder when l is divided by 98?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -375447*u**4 + 12582*u**2 - 4*u wrt u?\nAnswer: -9010728*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 3 + k**2 - 2*k**2 + 44*k - 4 - 35*k. Let h = -3 - -7. What are the prime factors of i(h)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a tonne in kilograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 + 30 = -3*a. Let f be (1 + -5)*(-27)\/a. Let j = 39 - f. What is the remainder when j is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-441)\/7)\/(-315)*185.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -31, -77, -129, -187, -251?\nAnswer: -321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 162 = 3*o - j, o - 3*j = 46. Suppose 0 = -6*w + 16*w - o. Let x(k) = -k**3 + 5*k**2 - 5*k + 4. Determine x(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, -0.4, 4, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 13397778, 26795548, 40193318?\n\"Answer: 13397770*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 4*o - 4, -3*o + 3*y + 2*y - 11 = 0. Suppose -5*d + z + 44 = -3*d, -68 = -o*d + z. Suppose d*k = 22*k + 742. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 108 - 94. Suppose -w*i + 36155 = -76587. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/i**5*i)\/(((i*i**(-6))\/i)\/i*i))\/(i**(-1\/8)*i*(i**(2\/3)\/i)\/i*i)*i*i**9*i**(1\/5)*(i**(-2\/9)\/i*i)**1 assuming i is positive.\nAnswer: i**(4477\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 6*r + 66. Let i be n(-11). Suppose i = 14*f - 17*f + 783. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -167*r + 156*r + 33. Put -16, r, 4 in increasing order.\nAnswer: -16, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-4308)\/858 - -2) + -1 + 4. Let q = u - 153\/143. Find the common denominator of 15\/2 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37040485138738 - 2*h - 37040485138738.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13*s*u**3 + 199329*s*u + 10*u**3 - 1023*u**2 wrt u.\nAnswer: -78*s*u + 60*u - 2046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2269*y + 464 = 2211*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 - -1)*(-4 - -4). Suppose -3*a = -q - 15. Solve -4*g + 5 = -a*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-7) + (-166)\/(-7). Let h = -2 - -4. Suppose -u = -6*x + h*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.33 - 2.67. Put f, -2, 3\/4 in decreasing order.\nAnswer: 3\/4, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 625992.9mm?\nAnswer: 0.6259929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -36.74 less than -0.0244?\nAnswer: 36.7156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 105.\nAnswer: -4\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + (6 - (7 + 0)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2142212 - -4433379. Suppose y - 81167 = z. Round z to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 558144 + -558139 + (7 - -1) + -1 + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -228688*l**3 + 76229*l**3 - l + 76227*l**3 + 76225*l**3.\nAnswer: -7*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*z**3 + 4*z**3 + 4*z + 2*z**2 - 2*z**4 to r*z + f*z**4 + u*z**2 + p*z**3 + l and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 p when three letters picked without replacement from {c: 7, w: 3, p: 2}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*c**2*k**3*w**3 + 742476*c**2*k**3 + 5*c**2*k**2*w**2 - 7*c**2*k*w**3 - 83*c**2*k - 8*c*k*w**3 + 3*k**2*w**2 + w**2 wrt k.\nAnswer: -12*c**2*w**3 + 4454856*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (-29 - -1) + (-2 - -13)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(10\/21)*230\/(-207). Which is greater: -3 or b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 98 + 3745 = -9*g. Let i = -328 - g. Calculate the greatest common factor of i and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 222 - 164 = 29*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 583682?\nAnswer: 2, 11, 43, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 + 8. Suppose -o*s - 3*q = -12 - 0, -s - 4*q = -7. Let h(v) = -v. What is the remainder when h(-7) is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2788798703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4159792 and 8?\nAnswer: 4159792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/392 and -61\/224.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 60, -6\/5, 1\/25, -5, -2, 0 in decreasing order.\nAnswer: 60, 1\/25, 0, -6\/5, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w = 4*x - 6, -36 = w - 7*x - 39 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*w - 6 = -7*w - 3*b, -5*b = 3*w - 29 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 396 is divided by 76?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 47.26 and -1?\nAnswer: -47.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23210*u**2 + 11607*u**2 + 11608*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 300382.68 to the nearest ten thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nbnnnnmnnbbnmnmnnmnb.\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -32, -4, 11, -5, 1.\nAnswer: -32, -5, -4, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 46179 and 175536641.\nAnswer: 1579829769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*u = 5*u + 700. Let d be (-2)\/5*1*u\/(-35). Is d >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 16 = -2*x. Let u = x + -2. Solve 3*g + u = -3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 - 4 + 2)*(c - c + c) + c - 2*c - c - 11*c - 13*c + 0*c)*(-1 + 1 + 29)*((1 - 2 + 0)*(-4 + 4 - 2*c) + 0 - c + 0).\nAnswer: -812*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 10090631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -j - 56. Let k be (16\/j)\/2*7. Solve k = -3*q + 4*v - 15, -5*q = -4*v + 29 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*g + 2*g + 153. Sort 0.4, -3, g in decreasing order.\nAnswer: g, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-621)\/7*(4\/(-2) + 1). Let n = i + -89. Which is the nearest to 1?  (a) 3\/5  (b) 0.1  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q + 5*b + 159, 0 = 3*b - 3 - 0. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4\/61 - 214\/1403. Let k be 11*2\/(-10) + (47 + -13 - 31). What is the fourth smallest value in 5, -0.4, m, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 + -39 - (32 - 24)) + -59 + 59.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 451 - 4055\/9. Factor -10\/9*f - 4\/9 + 10\/9*f**3 + n*f**2.\nAnswer: 2*(f - 1)*(f + 1)*(5*f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 28 = 3*d, 4*d + 12 + 9 = -5*k. Let g = 1.26 + -0.26. Let a = 9\/22 + 1\/11. What is the nearest to -2\/7 in g, k, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -302, 2, -1782342 in decreasing order.\nAnswer: 2, -302, -1782342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zhaz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 - -248?\nAnswer: 24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 13 = 2*v - 4*w, 5*w + 22 = 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 5*w = -35, 4*m + 14 = 283*w - 285*w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2348271271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -13001 > -13001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -9*w**3 - 48 - 1983*w**2 + 3*w**4 - 4*w + 2019*w**2 - 4*w**4 = 0?\nAnswer: -12, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 + 3. Let s = -2 + h. Suppose 0 = -46*x - 64 + 248. Put -17, x, s in descending order.\nAnswer: x, s, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 5*f + 27, 0 = 4*d - 1 - 7. Let y = 7 + f. Suppose -2*g - 19 = -y*h - 3*h, g - 2*h = -7. Solve 0 = g*u - 5 - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8553 - -8567.194. Let g = -0.006 - v. Let x = -14 - g. Is -8 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.01  (b) 6  (c) 3  (d) 0.4  (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 2*q**2 - 11*q + 241. What is the remainder when u(9) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*k**2 - 6198*k.\nAnswer: 3*k*(k - 2066)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 - 26 - 16*b + b + 13.\nAnswer: -15*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -308 = 6*z - 2978. Let f = 1110 - z. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, 1, -5 in descending order.\nAnswer: 5, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -54 - -39. Let j be (q\/(-20))\/(3\/36). Let d = -1 + 7. Calculate the highest common factor of d and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 968 divided by 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((3\/10)\/(3\/(-2)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 2*f - 29. Suppose 432 - 3 = 33*j. Determine h(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 11808235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 33914\/4 - (-15)\/10. Suppose -f = -10*s - 170. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4369 + 57?\nAnswer: -4312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 45 = 13*t. Suppose -3*w + s = -62 + 33, 23 = w - t*s. What is the biggest value in w, -3\/8, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -82, -222, -448, -754, -1134, -1582?\n\"Answer: u**3 - 49*u**2 - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.27, 0.09, 0.3, 4, -2, 2, 52\/21?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3255886700.\nAnswer: 2, 5, 11, 283, 10459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -19 + 21 + 25 + -32 + (50 - -3)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 76299089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in seven thirds of a week?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes before 9:57 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 13522670.41 * 4.\nAnswer: 54090681.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**3 - j**2. Let z = 72 - 77. Let t(w) = 4*w**3 + 23*w**2 - 2*w - 11. Let x(u) = z*h(u) - t(u). Is 4 a factor of x(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (-9 - ((1 - 1) + -4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -69.46298 to one decimal place.\nAnswer: -69.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5.8 - -5. Let h = -0.2 + i. Do -1\/5 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 17*w - 2. Give a(3).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 163386988 or 163386987?\nAnswer: 163386988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 2*r = 4, -3*l - 10 = -8*l + 3*r. Suppose -74 = -l*g - z, -5*g - 5*z + 142 = -g. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -6*l**2 + 2*l + 9. Let h(k) = 13*k**2 - 5*k - 19. Give -2*h(w) - 5*p(w).\nAnswer: 4*w**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12351\/10 - -1235. What is the third smallest value in -16, b, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-5 + 3*sqrt(1300)*1).\nAnswer: -180*sqrt(13) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 4}. Give prob of picking 3 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -65 - -41b3399?\nAnswer: 41b3334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 303342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1065 + -90b22?\nAnswer: -91b87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8.88 + 0.12. Let v = w + -5. Which is the third biggest value?  (a) v  (b) 5  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.021600204 rounded to three decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -34\/173 + 11467\/55706. Let b = x + -337\/1610. What is the second biggest value in b, -4, 7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5059 - -5076. Solve 4*n + 1 = 18*h - s*h, 0 = 2*n - 4*h - 10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 175841, 175840, 175839, 175838, 175837?\nAnswer: 175836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (3 - 1 - (6 - 13)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 44 - 42 = 0. Let g be (2 + i)*12\/10. Suppose -5*y + g = -2*y. Calculate the greatest common factor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-9)*10\/(-4)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 4*i**2 + i - 1. Suppose -8*b = -15*b + 28. Suppose 34*n = 30*n + u + 59, b*n = 5*u + 71. Calculate the remainder when a(3) is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4295228?\nAnswer: 2, 7, 131, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 270*k - 19967. What is u(74)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 12  (b) 4  (c) -5  (d) -1\/6  (e) 0.14  (f) 2\/69  (g) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 484338175 + -484338100.0000097. Let x = 75 - i. Round x to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) -1.22  (c) -15\/4  (d) 4  (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ltlzdptq. What is prob of picking 2 l and 1 q?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 4*w + 2)*(2*w + w - 5*w) + 2*w**2 + 1 + 288*w - 873*w + 309*w as c*w**2 + o + f*w and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:06 PM and 10:37 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 30 and 39973158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -48, -103, -11, 1.\nAnswer: -103, -48, -11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 4*c - 3 = -7, -2*c + 2 = 4*s. Let w(g) = 6*g - 15. Let v be w(s). Are -14 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from enewwweeewnene. What is prob of sequence nnn?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4.8 + 3.03. Let v = -0.17 - s. Let g = v - 1.4. Sort 3\/4, g, -2.\nAnswer: -2, g, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 280232.1 to the nearest one thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 4, g: 1, l: 3}. What is prob of sequence lll?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -2*h + 1, 2*d - 4*h = 3*d + 13. Let p(b) = b**3 - d*b**2 + b**2 - 3 + 4*b - 3*b**2. Let m = 2 - -2. Give p(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 6  (b) -17274  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -4, 22, 89?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-13*2\/10)\/((-4)\/20). Solve 0*w = w + 3*i - b, -w = -2*i + 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 283 divide 26036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 25932 = -5*t - 2085, o = -4*t + 19075. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6320*g - 280 = -6292*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 109858?\nAnswer: 2, 7, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -63*s - 286*s + 56*s.\nAnswer: -293*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20951 is divided by 131?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-15)\/(-5) - 1 - 8 - -16. Let v(a) be the second derivative of a**3\/3 + 9*a**2 - a. Is 14 a factor of v(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*z**2 + z**2 + 3*z**2 - z**2 + 4*z**2 - 5*z**2 + (0 - 1 + 0)*(-z**2 + z - z) - 2*z**2 + 6*z**2 - z - z**2 in the form q*z + n + w*z**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -49855 by -9971.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 12943488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v + 0*v + 0*v)*(-50*v**3 + v + 22*v**3 + 29*v**3) + (v**4 - 3*v**4 + v**4)*(2 + 1 - 5).\nAnswer: 3*v**4 + v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**2 + 17. Let i = 23327 + -23277. Calculate the remainder when i is divided by q(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the first derivative of -2*g**3\/27 - 28*g**2\/9 - 392*g\/9 + 740. Suppose p(x) = 0. What is x?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -81 + -324b9?\nAnswer: -3255a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*k + k = -4*k + 67 - 811 for k.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3*m + 1)*(-m - 4*m + 4*m) + 3*m**2 + 786 - 788 + 6*m + 3*m**2.\nAnswer: 9*m**2 + 6*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 145 - 56. Let y(v) = -3*v**2 - a + 89. Let t(k) = -36*k**2 + 15. Let r(j) = -5*j**2 + 2. Let l(m) = -15*r(m) + 2*t(m). Determine y(l(w)).\nAnswer: -27*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 2*d + 4. Let j = 0 + 0. Suppose -2*a = -3*l - 1, a + 0*l - l - 1 = j. Let w(s) = -6*s - 13. Give a*w(t) + 7*c(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 2*u**3 - 18*u**2 - 34*u - 14. Let o(w) = w**3 - 17*w**2 - 33*w - 15. Let z(c) = 3*i(c) - 4*o(c). Factor z(f).\nAnswer: 2*(f + 1)*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.05?  (a) -3\/2  (b) 0.41  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**2. Let c(d) be the first derivative of 2*d**3 - d**2\/2 - 10343. Calculate -c(s) - 5*g(s).\nAnswer: -s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/130*4\/6)\/(292\/(-3504))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from izjwwvzvvvioji?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-8)\/70)\/(1326\/85 + -16). Solve -j*r**3 - 6\/7 + 2\/7*r + 6\/7*r**2 = 0 for r.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 103, 310, 517?\n\"Answer: 207*v - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -14?  (a) -216561  (b) 4  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 2*v**2 - 8476. Let q(g) = -2*g. Give q(w(y)).\nAnswer: -4*y**2 + 16952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 17*f + 1 - 8*f - 4*f in the form n + m*f and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 + 1a?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 5*v - 35 = -h, -5*v - 35 = -4*h. Suppose -4*l + h = -2*l. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:18 AM and 6:45 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -761492 divided by 2998?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (112\/42)\/((-44)\/33). What is the closest to -4\/47 in -26, -1\/5, o?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.227 + 0.457. Let w = -2.27 - i. Which is the closest to 0.3?  (a) w  (b) 4  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**2\/5 + 17366*x\/5 - 75394489\/5.\nAnswer: -(x - 8683)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3309 less than -56736.1?\nAnswer: -60045.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25*(-11)\/143*3\/5.\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 444765, 444753, 444739, 444723?\n\"Answer: -y**2 - 9*y + 444775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 2*h**5 + 1 - 4*h**5 - 2*h**5 + 3*h**5 + (-2 + 2 + 2*h**4)*(4*h - h - h).\nAnswer: 3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ezez when four letters picked without replacement from {z: 4, e: 14}?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:23 AM and 2:49 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11948\/9 + 1329. Calculate the common denominator of 35\/1332 and h.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0859589188 + 336.5\nAnswer: 336.5859589188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13 + -3. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21.05*0.015\nAnswer: 0.31575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the third derivative of 5*u**4\/12 + 26*u**3\/3 - u**2 - 9*u. Find the first derivative of o(b) wrt b.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 48*j**2 + 3*j + 5. Is v(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.119173 at least -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the second derivative of q**4\/4 + q**3\/3 - q**2\/2 + 2*q. Let o be u(1). Solve 2*a**2 - 2*a**2 + 2*a**2 + 2*a**4 - o*a**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the second derivative of 21*p**5\/20 + 2*p**3\/3 + 20*p. What is the second derivative of y(h) wrt h?\nAnswer: 126*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkiiyiyilili. What is prob of picking 2 k and 1 l?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6681*k**2 - 2188*k**2 - 765*k**2 to s + r*k**2 + t*k and give r.\nAnswer: -9634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-2694)\/(-2)*(6\/14 + 13176\/567)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 7 = -9, 0 = 5*p - 3*d - 37. Let w(t) = t - 3*t - 4*t + 6 + t**2. What is w(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 38318.83 millilitres?\nAnswer: 38.31883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 39, 135, 297, 525, 819, 1179, 1605?\n\"Answer: 33*k**2 - 3*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = -3*y + 78. What is the greatest common factor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*c - 14 - 4 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xmxkxxkvmkxkxxkvxkxx?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 3, 32, 99, 222, 419, 708, 1107?\n\"Answer: 3*i**3 + i**2 + 5*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 932*m**3 + 4*m**2 - 26*m + 79. What is the hundreds digit of n(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**3 - 10*h**2 + 15*h + 8. Let u be (-3 - (-3)\/((-3)\/(-19)))\/2. Let q be o(u). Suppose -3*s + 135 = -q*s. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 677761000 to the nearest 1000000.\nAnswer: 678000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes before 12:06 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 285903\/191 = 1498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -606560 rounded to the nearest 10000?\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 11002 (base 3) in base 13?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3.03 + -6.32. Let l = -0.29 - g. Let u = -0.8 - -7.8. What is the nearest to -1 in l, 4, u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -31925, -29886, -27847, -25808, -23769, -21730?\nAnswer: -19691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -2*s - 3. Let l(f) = -f**3 + f**2 + 2*f + 1. Calculate the lowest common multiple of p(-4) and l(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1312553?\nAnswer: 11, 17, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (0\/((-12)\/(-6)))\/(3 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j + 1. Let i be s(1). Suppose i = x + 3 - 4. Let y = 95\/6 + -16. Which is bigger: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-6) - (-52)\/(-104)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11 and 338?\nAnswer: 3718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7.64 - -1.54. Let h = 13 + q. What is h rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(704)*-2 - sqrt(891)*1).\nAnswer: -25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes after 12:18 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -9*c. Let m(p) = p. Let y(k) = -j(k) - 6*m(k). Let n = 12 + -8. Let u(o) = -o. Let v(g) = n*u(g) + y(g). Determine v(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one tenth of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 136 and 21862.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6048.7 - 6049. Which is the biggest value?  (a) 1\/37  (b) 0.19  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the second derivative of -l**5\/20 + l**4\/4 + 2*l**3\/3 - l**2 + 11*l. Calculate b(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 5*q + 46 = 0, 5*q = -3*x + 6*x - 94. Is 49\/x + (-120090)\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-810)\/7)\/(-5 + (-144)\/(-28)). Let i be y\/(-114) - 10\/95. Sort i, -1, 1 in descending order.\nAnswer: i, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the second derivative of -t**6\/24 + t**3\/3 - 3*t**2 - 2*t. Let w(l) be the first derivative of r(l). What is the first derivative of w(a) wrt a?\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uaddauuduaduuaadaua. Give prob of picking 1 a and 1 u.\nAnswer: 49\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 90 a factor of 71216674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -5*b + 2. Let s be 10\/(-15)*(3 - 0). Let w = s - b. Solve 3*l + w*l = 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 366117\/426176 + 2\/6659. Calculate the common denominator of 75\/16 and d.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + 5*s - 33*b + 35*b = 27, -2 = 2*s + 3*b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 49564, 0, -5, 46, 4 in descending order.\nAnswer: 49564, 46, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3*(2\/3)\/(-1). Find the common denominator of -29\/16 and i + 321\/6 + -3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 111250*o. Let b be r(8). Suppose -t = 4*t + b. What is t rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by 193652\nAnswer: 7\/193652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**4\/7 + 6*c**3\/7 - 8*c\/7.\nAnswer: -2*c*(c - 2)**2*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*o**2 - 414*o.\nAnswer: -3*o*(o + 138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1219 + 2462. Suppose 102 = -7*n + q. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000079353 to 7 decimal places.\nAnswer: 0.0000794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*r - 7 = -7 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 64400 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes before 1:55 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -10441241 (base 8) to base 12\nAnswer: -903429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 41 + -536. Let r(n) = 3*n**2 + 1. What is the smallest common multiple of l\/(-63) - (-2)\/14 and r(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o + 1. Let a(n) = -4*n - 5. Let z(r) = a(r) + 5*g(r). Let q(d) = -7*d - 2. Let v(i) = q(i) + 3*z(i). Let m(c) = -9*c - 4. Calculate -3*m(l) + 7*v(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -60.8 - 9.2. What is the third biggest value in 2\/11, 0, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -32 + 20. Let k be -2 - (-24)\/2*(-6)\/s. Solve -k*n + 4*v = -40, 4*n + 2*v = -v + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -678, -684, -684, -672, -642, -588, -504?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11.034 + 0.034. What is the fourth smallest value in p, -4, -2\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2 + 12*f + 2. Let w be q(-12). Suppose -2*h + 3*k = -w, -3*h + 2 = -3*k - 2*k. Let x = 1 - 1. Solve 5*u + 17 = -4*r, u + 13 = -x*u + h*r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10269.51 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 167 a factor of 133162332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.319 - 206.881. Let y = a - -189. Let s = -18.1913 - y. Round s to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 18 - 29. Let b = -11.08 - v. What is b rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -24*w - 597. Determine v(-25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*v + 0*v + 4*v + (-3 + 2 + 6)*(0 - 2*v + 0) - v + 5*v - 5*v in the form l + i*v and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1635413 is divided by 545134.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 485524 + 0.09\nAnswer: 485524.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/(-25))\/((-72)\/(-1980)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that 984677067*v**2\/7 + 108702*v + 21 = 0.\nAnswer: -7\/18117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 3*w - 9 = 0. Suppose -28*s = -45*s - 102. Let o be (s\/30)\/((-6)\/90). Solve -w*g = 6 + o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**3 - 104*y**2 + 778*y + 1629. Give v(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 179*o = 299*o - 1320 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 90149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 38713129?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b - 1. Let c(d) = -130*d - 36. Give c(j(t)).\nAnswer: -130*t + 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uirircikiuu. Give prob of sequence uu.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 + 4)\/(9\/(-24)*-4). Solve h - 15 = n*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 2 = -d, -2*d + 53 = q + 43 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 43097 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/(-6) - 224\/21. Let a = 6 + w. Let k be (-1)\/2 + (-60)\/(-40). Sort k, 5, a in descending order.\nAnswer: 5, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 32*s**2 - s. Suppose -5*j = 5*z, 2*z + 0 = -4*j - 4. Let t be (j + (-14)\/(-6))\/((-12)\/36). Give r(t).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12+-4332\nAnswer: -4344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 472?  (a) 1\/11  (b) -3  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d + 6. Let f be g(4). Suppose m - 5 = -5*z, 2*m - 5*m = -15. Solve -j - f - 2 = z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes after 7:12 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -6314, -12283, -18252, -24221, -30190, -36159?\n\"Answer: -5969*z - 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9*-60.5.\nAnswer: 544.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 432249.4mm in micrometers?\nAnswer: 432249400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1 and 2237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 20 - 26. Let x be 18 - (f + 1 + 3). Suppose 0 = -14*r + 9*r + x. Solve 0 = -w + r*w - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2455.466 milligrams to kilograms.\nAnswer: 0.002455466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-308)\/18*(-1)\/2 + 12\/27?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17.8 + 17.8. Put i, 3, 17 in decreasing order.\nAnswer: 17, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(3*4\/30). Suppose 0 = -0*f + 3*f + 12. Let n = f - -6. Sort -4, m, n in decreasing order.\nAnswer: m, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-2)\/(-105))\/(99\/4950))\/(16\/(-56)).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 + 4)*((9*g - 5*g - 5*g)*(0 - 2 + 0) + g + 4*g - 4*g).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 1)*(f - 2 + 2) - 3*f + 0*f + 13*f - 2*f - 1 + 1.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - (-1 - 1 - (-9 + 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 22979137 to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 1028*b + 103. Let g be p(-5). Let o = 2732 - g. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 456600.\nAnswer: 2, 3, 5, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - -49) + (97 - 89) + 10 - 9?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 193 - 51. Calculate the remainder when q is divided by (-4 - -3)*4\/(3*3*9\/(-162)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -764*w - 3060 = -768*w. What is the highest common divisor of w and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 33310 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -6*y + 19. Suppose -3*o = -15, 0*o - 2*o = -2*m + 10. Let s be u(m). Sort s, 3, 0.1 in decreasing order.\nAnswer: 3, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -2*n - 14, -5*y + 2*n = -21 + 1. Suppose -4*x = y*q + q - 2152, -3*x + 1627 = -q. List the prime factors of x.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the second derivative of 14*v**3\/3 + 30*v. Let g(z) = -3*z. Determine g(h(o)).\nAnswer: -84*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1581 - 378 + 3*r**2 - 6*r**3 - 899 - 16*r**3 + 21*r**3 with respect to r.\nAnswer: -3*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13198.\nAnswer: 2, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2563 greater than 2566?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1850, -2985, -4122, -5261, -6402, -7545, -8690?\nAnswer: -9837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (52\/14)\/(((560\/245)\/4)\/(-4))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1374 and 8?\nAnswer: 5496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/58 and 15\/8?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (154\/28)\/((18\/396)\/((-2)\/(-11)))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 100*q**2 - 240*q + 144.\nAnswer: 4*(5*q - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, v: 2, j: 4, z: 1}. Give prob of picking 2 v.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 3*f + 12, 4*f + 15 = 2*q + 9. Sort q, -88, 5 in increasing order.\nAnswer: -88, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1338553664?\nAnswer: 2, 7, 2987843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2756 or 5513\/2?\nAnswer: 5513\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**2 - 3*a - 5. Calculate h(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3498260902 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 12 = o + 20, -3*k + 7 = 4*o. Which is the second biggest value?  (a) 0  (b) -3  (c) 3  (d) o  (e) -59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 395894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*v**3 - 87*v**2 + 2*v**3 + 31*v**2 + 4*v - 4*v**4 + 30*v**2 + 28*v**2 as o + y*v**3 + r*v**2 + s*v**4 + b*v and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -204087 divided by 13.\nAnswer: -15699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes before 9:56 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 71 divide 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20011424 (base 6) to base 14.\nAnswer: 108904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1733004475 by -5.\nAnswer: 346600895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00005213284 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express g**2 + 25 - g + g**3 - 23 - 3*g**2 + 4*g**2 as l + d*g**3 + u*g**2 + h*g and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 22 (base 11) to base 2\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the second derivative of -q**6\/30 - 3*q**5\/10 - 13*q**4\/12 - 2*q**3 - 2*q**2 - q. Factor u(w).\nAnswer: -(w + 1)**2*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-82236)\/(-18690))\/((385\/(-2))\/(-7)).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(98)*-1*-5)**2 + (sqrt(98)*-4*4 - sqrt(98) - sqrt(98))**2 + (-3*sqrt(98)*-2 - 5*(-1 + sqrt(98))).\nAnswer: 7*sqrt(2) + 34207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-2\/3)*r*r**9*r**(1\/2)*((r*r**13*r)\/r)\/r*r)**(-2\/11))**44 assuming r is positive.\nAnswer: r**(-572\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15050719 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*f - 6*f + 14138 = 4*j + 13881, 4*j + 3*f = 287 for j.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 10:06 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.05 + -0.35. Let w = 61 - 61.288. Let y = 0.112 - w. Which is the second biggest value?  (a) h  (b) y  (c) -6\/7  (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*y = -42*y + 513 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bfbf when four letters picked without replacement from {f: 6, b: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/2, -3\/2, -3, -1.15, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 12 - (-3 + -1) - 13\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 55 - -22 - (-37 - -70)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 51, 2\/11, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 12, 4, 6\/11, 33?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -110 or -111?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1060861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + d - d**2 + 2*d**2 + 2*d**2)*(-d**2 + 2*d - 2*d).\nAnswer: -3*d**4 - d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*u**4 - 201*u**2 + 2*u**6 + 674*u**2 + 191*u**5 - 2*u**4 wrt u.\nAnswer: 240*u**3 + 11460*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -3*o - 5 + 19, 0 = o + b - 6. Let s(l) = l**3 + 4*l**2 - 4*l - 13. Let d be s(-3). Solve d - o = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = -4*y - 8, -4*y - 4*c + 3*c + 1 = 0. Solve 9 = -2*i + y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42211055?\nAnswer: 5, 53, 159287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1549509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100 = -33*g + 13*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the first derivative of 130*t**2 - 82. Let g(f) = -2*f. Calculate g(i(n)).\nAnswer: -520*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1299752267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 2*v**3 - 8*v**2 + 6*v + 49. Let s be f(5). Solve 4*z = 3*n - s + 145, 0 = -2*n - 4*z - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -18 less than or equal to -1\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 67887629?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 7*n**2. Let c = -7 - -12. Let s(v) = -9*v**2 - 5. Let r(k) = 4*k**2 + 2. Let t(p) = c*r(p) + 2*s(p). Calculate t(i(h)).\nAnswer: 98*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27200396.\nAnswer: 2, 6800099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21 - 18. Suppose 3*u - z*g - 24 = 0, 3*g - 15 = -2*u + 4*g. Let v(y) = y**2 - 8*y + 6. Let d be v(u). Is d smaller than -4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 5*b**3 + b**2 - 6*b - 6. Suppose 29*n - 20*n = -9. Let a be (-4 + 0)\/((-2)\/(-3)). Let j(c) = -c**3 + c + 1. Give a*j(l) + n*o(l).\nAnswer: l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 5*u + 6. Let n be b(9). Suppose 0 = -m + 4*m + n. Let i = m + 27. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12645341481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.36870522 - -28029?\nAnswer: 28029.36870522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 530944 and 1152?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 308 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 20298 - 9559. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -90, -371, -834, -1473, -2282, -3255, -4386?\nAnswer: -5669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**3 + 3*l**2 + 3. Suppose 4*r = 3*r - 3. Let u be p(r). Do -1\/2 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.6 times -8692476\nAnswer: -22600437.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -88.1 + 88. What is the closest to -1\/2 in 1\/5, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -4, 45, -3 in decreasing order.\nAnswer: 45, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1386 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**2 - 5*o - 4. Let f be w(-3). Let d(m) = 1 + 2*m + f - 2. Let y be d(-3). Sort y, -2, -1 in increasing order.\nAnswer: y, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v**5\/3 - 2242*v**4\/3 - 4*v**3\/3 + 4484*v**2\/3 + 2*v\/3 - 2242\/3 = 0.\nAnswer: -1, 1, 1121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/a**1)**(-3)*a**13\/a*a*(a*a\/(a\/(a**(9\/4)*a)))\/a)**(-3) assuming a is positive.\nAnswer: a**(-195\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let c = -3053 - -18385\/6. Let q be (-14)\/13 - (2 - 2). Let f = -75\/208 + q. Find the common denominator of c and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes after 1:17 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 573 is divided by 186?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1182479019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -237*t - 5*a + 3 = -238*t, 0 = -4*a + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 + (-102 - -63) - (2 + 2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z**4 + 0 + 0)*(1645 - 3300 + 1689 + 24*z).\nAnswer: 48*z**5 + 68*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -282 - 370 = -129*v + 660 + 107 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4695*h**3 + h**2 - 3261*h wrt h.\nAnswer: 28170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85136 is divided by 757.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t - 17*t - 30 = 0. Let h = 9.91 + 0.09. Which is the smallest value?  (a) t  (b) 5  (c) h  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-6)\/(-8))\/(6\/94). Let n be (-2*(-5)\/10)\/((-2)\/24). Let c = n + p. Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*o - 483*o**2 + 4*o + 2*o - 10*o to the form y*o**2 + v*o + c and give y.\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -45*o**2 + 7*o - 14. Let j be b(2). Let q be -4*(-5)\/(j\/(-387)). What is the highest common divisor of q and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40462465 + 900.5.\nAnswer: -40461564.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 119393577.\nAnswer: 3, 53, 250301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 0 + 3)*(g + g + 0*g) - 5 + g + 5)*(-8*g**3 + 11*g**3 - g**3 - 76*g**4).\nAnswer: -228*g**5 + 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/(-2)*4 - -7. Let n = 9 - t. Suppose -5*i + 3 + 27 = 0. Solve -n*p + i*w - 3 = 3*w, -3*p + 4*w = -3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*j**3 - 8*j**2 - 70*j + 24.\nAnswer: 2*(j - 4)*(j + 3)*(3*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 6\/3) + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 - -10. Suppose -f = j*f. Let k = 242\/7 - 35. What is the second biggest value in 6, f, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2154, 4554, 6954?\nAnswer: 9354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -23 + 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -57689, -59287, -60887, -62489, -64093, -65699, -67307?\n\"Answer: -t**2 - 1595*t - 56093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -401 - -401.48. Let k be 24\/(-15 - -7)*2\/(-27). Are k and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -153*u = 38*u + 4584 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1579 is divided by 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide (-127323)\/(-6) + (-11)\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = 12, 2*b - 11 = 3*w + 10. Solve -b*p - 13 = 3*u - 4*p, 25 = -5*p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00003156 rounded to 6 decimal places?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**3 - 8*w**2 - 8*w - 7. Let a be d(9). Suppose 10 = -3*q + 4*n, 0*n = q - n + a. Let r = 6 - 4. Solve q*t - 10 = -l - r*l, -l + t = 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 931853 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**3 - 2*x**2 - 3*x + 4. Let w be m(3). Suppose -4*d - 3*j - 3 = 0, -w*j - 28 + 5 = -d. Suppose -415 = -d*i + 362. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7005*y**2 - 13*y**3 + 7005*y**2 - y + y + 9*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 12*y - 13. Let r(n) = 12*n + 11*n - 18*n + 13*n - 20. Let u(x) = -8*b(x) + 5*r(x). What is the first derivative of u(s) wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g + 5. Let b(r) = -2*r + 9. Let w(d) = -2*b(d) + 5*z(d). Let i(s) be the third derivative of -s**3\/6 + 281*s**2 - 7*s. What is -6*i(t) - w(t)?\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 52*m**2 - 279*m - 827. Calculate the remainder when j(-3) is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2400.512820115 - -0.767201885. Let p = o - 2402.18. Let c = p + 0.9. What is c rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the third derivative of s**5\/60 - s**4\/24 + 31*s**3\/3 - 121*s**2 - 2. Calculate c(0).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*t**2 + 45\/4*t - 3 = 0. Calculate t.\nAnswer: -4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(-20)\/(-655)*(-384)\/(-768).\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 32428769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the third derivative of m**6\/120 + 3*m**5\/5 + 25*m**4\/12 + 16*m**3\/3 - 16*m**2. Is g(-31) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from rrgg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -165688, -331364, -497040, -662716, -828392, -994068?\nAnswer: -1159744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4 - -3)\/3*2631. Let a = -851 - f. What is the remainder when 48 is divided by a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 296158 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 3*y**5 - 217128*y**4 + 5237489028*y**3 - 42086700412218*y**2 - 463535307079047*y - 421443368960670 = 0.\nAnswer: -10, -1, 24129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1158, -1155, -1152?\n\"Answer: 3*m - 1161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f + 3. Let i be 19*1 - (-3)\/6*-4. Suppose 7*l + i = -11. Determine x(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 3 - 2*f)*(6*f**2 + 0*f**2 - 4*f**2) - 9*f**3 + f**3 - 10*f**3 to w*f**3 + z*f + d + o*f**2 and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 543972.\nAnswer: 2, 3, 11, 13, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 4988*i + 1. Is 9 a factor of z(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 3*s**2 + 28*s + 30. Let k be j(-8). Does 76 divide k\/(-5) + (12932\/20 - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 60627691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -2*h - 2*h - 92, 4*u = -5*h - 133. Let l = h + 51. What is the remainder when l is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a + 27 + 13 = 0. Let n(p) = -p**3 + 6*p**2 - 18*p + 97. What is the smallest common multiple of 32 and n(a)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**3 - 6*l**2 + 6*l + 4. Let o be (-1 + 6)\/(10 - 9). Let v be n(o). Let j(w) = v + 5*w**2 - 4*w**2 - 9. Let b(r) = -14*r. Give b(j(k)).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:52 PM and 6:40 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 51, 33, -31, -153, -345?\n\"Answer: -2*x**3 - 11*x**2 + 29*x + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -711 by 3.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 476 = 3*h + 515 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*h + 13*h + 1 - 13*h + (-6 + 4 + 0)*(-4*h + 3*h + 0*h) - h - 3*h + 5*h.\nAnswer: -7*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-576)\/18 - -6)*1\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/1 - (2 - 3). Let l = b + 1. Let w(k) = 0*k + k**2 - 3 + 0*k - l*k. Calculate w(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 2*r = -3*h - 9, 2*r + 4*h - 14 = 0. Solve -r*j + 2*j = -4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 6 = -0. Solve -v*z = -2*z + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2325544 to the nearest integer?\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -69  (b) 1  (c) -0.4  (d) 0.031  (e) -2\/11  (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**3 + 11*c**2 + 12*c - 15. Let g be t(12). Let q = g + 20. Suppose 0 = -8*d + q*d + 12. Calculate the lowest common multiple of d and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/2*5)\/((-10355)\/(-99408))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b + 15 + 5. Find the second derivative of 3*y**b - 5*y + 0*y + 2*y + y**5 wrt y.\nAnswer: 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 15260 and 350.\nAnswer: 76300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + l = -f - 10, 3*f + l - 3 = 0. Let s(y) = 1 - 7 + 9*y + 7 - f + 3*y**2. What is the tens digit of s(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00025117761 rounded to 7 dps?\nAnswer: 0.0002512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 178 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**3 + 16*y**2 + y - 1. Suppose 2*s = 49 - 17. Calculate the remainder when 41 is divided by u(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**3 - 12*g + 1. Let t(n) = 3*n**3 - 25*n**2 + 2*n - 98. Let c(o) = -2*q(o) - t(o). Determine c(26).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -569*h + 199. Let a(x) = 189*x - 66. Let t(p) = -11*a(p) - 4*f(p). Is 27 a factor of t(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -23768 - -23771. Solve -d*f = -2*r - 35 + 53, 5*r = 2*f + 34 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 103 = 2*u, -u + o + 3*o + 41 = 0. Suppose 6*w = 34*w - 3696. Let d = w + -112. What is the remainder when u is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 65*w**4 + 100*w + 68*w**4 - 19*w**2 + 76*w**4 + 82*w**4 - 293*w**4 - 1 to the form f*w**4 + k + o*w + q*w**2 + b*w**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 35128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -54 + 15 - 10348*i - 2*i**2 + 17 + 22 in the form w*i**2 + k + q*i and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33918 is divided by 100?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -30 - -65. Suppose 3*d = -i + 36, -3*i = 4*d - t - 58. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes after 1:28 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the third derivative of f**7\/525 + 8*f**6\/75 + 63*f**5\/25 + 162*f**4\/5 + 243*f**3 + 252*f**2. Factor l(r).\nAnswer: 2*(r + 5)*(r + 9)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in 199, 0, -0.23, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the third derivative of -t**5\/60 + 2*t**2. Let y be (0 - -2) + 3 + -3. Let w(x) = x**y + 5*x**2 - 2*x**2. Give w(v(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1578)\/(-3419))\/(19\/2717).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 527 is divided by 516?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 3046.6554096.\nAnswer: 3044.6554096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 431363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 22653915649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8 - 3. Suppose -280 = -5*o + v*m, 10*m + 109 = 2*o + 5*m. Calculate the common denominator of -67\/3 and o\/(-2)*5\/15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 672 and 5555061.\nAnswer: 1244333664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3 and 37.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -3638, -3999, -4584, -5381, -6378, -7563?\n\"Answer: 2*p**3 - 124*p**2 - 3*p - 3513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-4 + (sqrt(2450)*-1 + -1)*6 + -5 + 3 + -5))**2.\nAnswer: 178500*sqrt(2) + 2212225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 13 and 297011.\nAnswer: 297011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -426*g**2 + 691*g + 3. Let a(j) = 853*j**2 - 1384*j - 7. Let z(l) = 3*a(l) + 7*x(l). What is the second derivative of z(t) wrt t?\nAnswer: -846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 251*t - 68068 = -35*t. Calculate the highest common factor of t and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 75, 107, 139, 171, 203, 235?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3743.91ml in litres?\nAnswer: 3.74391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -130.52, -1510, 3?\nAnswer: -130.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2628 and 6643?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 397 + -557. Let d = q - -15. Let b = -99 - d. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0352174 to 3 decimal places.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 28\/3 of a year?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -20 + 23. What is the second biggest value in -1, 0, j, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 28*w = -27*w - 10, 4*w = -b + 16. Solve 31*l = b*l + 69 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7755*q**3 + 62542*q**2 - 23661*q - 46 = 0 for q.\nAnswer: -1\/517, 2\/5, 23\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -26, -56, -144, -320, -614?\n\"Answer: -5*w**3 + w**2 + 2*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(117)*1*-1)\/((sqrt(9) + 4*sqrt(36))*-3).\nAnswer: sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**2 - 824644*f - 2473896.\nAnswer: -4*(f + 3)*(f + 206158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0, -65, -19, 3, 4, -16 in decreasing order.\nAnswer: 5, 4, 3, 0, -16, -19, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:58 PM and 6:26 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-50)\/20*6*(29\/(-174))\/((-30)\/(-8)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3.996*0.05\nAnswer: -0.1998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 28, 33, 5, 155 in descending order.\nAnswer: 155, 33, 28, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*i = 14224 + 2573. Let h = 513 - i. Factor -5\/7*q**2 - 9\/7*q**3 + 9\/7*q + q**h - 2\/7.\nAnswer: (q - 1)**2*(q + 1)*(7*q - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and -613228.\nAnswer: 2452912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -72 - -159. Let v = g - 86.5. Let l(j) = j**3 - j**2 + j - 5. Let q be l(0). What is the third biggest value in q, -18, v?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18.2 times -34.6\nAnswer: 629.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**2. Let p be (4\/(-8) + -2)*-22. Let r(f) = -f**3 - 7*f**2 + 4*f + 7. Let h be r(-6). Let a = p + h. Give g(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.246 in -2\/7, 0, 2\/11, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (99 - 0) + (-6)\/2. Let p be ((l\/(-28))\/4)\/(1\/7). Let r(y) = -y**3 - 5*y**2 + 5*y - 2. List the prime factors of r(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-5)\/10)\/((-2)\/624). Suppose 0*o + 4*o - f = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the third derivative of -h**6\/280 + h**5\/5 - 261*h**4\/56 + 405*h**3\/7 - 1007*h**2. Factor y(d).\nAnswer: -3*(d - 10)*(d - 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10622523.\nAnswer: 3, 71, 49871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes before 3:35 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -55\/138 and 28\/713.\nAnswer: 4278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -17*r**2 + 3*r + 2. Let z(l) be the first derivative of -35*l**3\/3 + 7*l**2\/2 + 5*l + 10154. Give -7*q(f) + 3*z(f).\nAnswer: 14*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.98942 + -5.98942. Let b = -0.73 + 0.7. What is the second smallest value in 1, t, b, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (134 + -62 - 39) + 2 + -8?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 + 2 - (-9 + -1). Suppose -4*h = -16 - j. Let o be (-18)\/(-21)*56\/12. Solve 23 = -o*q + y, 4*q + 3*y + h + 4 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4545827 divided by 143.\nAnswer: -31789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -18686137*0.4\nAnswer: -7474454.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 107*u**2 - 856 - 1315*u**2 + 2*u + 1101 wrt u.\nAnswer: -2416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.1 - 0. Let z = -0.672 - 0.528. What is the nearest to x in z, 1\/5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 - 20. Let i = -18.0019 - r. Round i to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -5*h**2 + 3*h + 318. Determine b(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -27*y**3 + 854*y**2 - 1700*y - 5. Give g(2).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2196)\/240*8540\/(-1281)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 183 - 114. Let b(s) = 66 + z - 130 + s. What is b(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -2*y + 4*z - 6, -z + 2 = y. Suppose r - 3*c = -y*r + 68, -5*r + 340 = -5*c. Let l = -4055 - -4069. Calculate the remainder when r is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 * 4.025\nAnswer: -2.0125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 10999298 to the power of 1\/3, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 1638*i**2 + 4 - 4 - 1639*i**2. Let r(b) = -81*b. Give r(y(d)).\nAnswer: 81*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -5*l. Suppose -4*x - x = -15. Suppose -c - 2*c - x = l. Which is bigger: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13094264 and 6516.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1162?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -70, 4, -80, 0, -364 in descending order.\nAnswer: 4, 0, -70, -80, -364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 130 divided by -46980.\nAnswer: -13\/4698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2537 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 6*o - 3*o + 30 = 0, -3*s = o + 40. Let b = s + 19. Suppose 4*q = -0*q - b. Let u(a) = -8*a**2 + a + 1. What is u(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 55429 * -0.54\nAnswer: -29931.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.06?  (a) -0.5  (b) -2  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -4*a - 75. Let v be ((-44)\/(-10))\/((-3)\/a). Calculate the highest common divisor of v and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = 3*o - 82045, -7*o = -8*o + w + 27349. List the prime factors of o.\nAnswer: 2, 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-1)\/(-2))\/(3\/22*33))\/((-11)\/66)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3 + 7)*(2 - 2 + r) - 3*r + r + 3*r + 3*r + 3*r - 5*r + 10*r + 14*r + 4*r.\nAnswer: 32*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 170084504 to the power of 1\/2, to the nearest integer?\nAnswer: 13042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4913, 9827, 14741, 19655, 24569?\nAnswer: 29483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(-7)\/t)\/t**(-2\/19))\/((t**(2\/3)\/t)\/t)**(-19))\/((t*t**1\/t)**(2\/3))**(-1\/2) assuming t is positive.\nAnswer: t**(-625\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000065783812 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 225 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 - -13. Suppose -5*h = -10*h - 5*u + 35, -r*u = -4*h - 7. Solve 3*n = h*m - 0*m - 7, -n = -3*m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62036101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a**2*a*a))**(-9\/7)*a**(-2\/5)*((a*a**4\/a*a*a*a)\/a)\/a*a assuming a is positive.\nAnswer: a**(331\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9 + -5. Suppose 0 = -2*o + 4, -2*i + 1484 = 3*i - 3*o. Suppose -5*x - 3*g + i = 0, -122 = -x - x - a*g. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4772 - 82. Calculate the least common multiple of 7504 and o.\nAnswer: 37520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -18920 + 18920. Which is the nearest to w?  (a) -4\/5  (b) -752  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 at least as big as -839\/1358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -13101 + -3024241?\nAnswer: -3042342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**3 + 18*z**2 + 3*z + 36. Let o be f(-18). Let c be (24\/o)\/((-2)\/15). Solve c + 5 = 5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -175*w - 1167 + 175*w + 31*w**2.\nAnswer: 31*w**2 - 1167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.2 + 0.7. Let a = 0.019 + -3.019. Let t = -64.2 - -64. Sort s, a, t.\nAnswer: a, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**2\/(m**(-2)*m))**3 assuming m is positive.\nAnswer: m**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -150753 or -150726?\nAnswer: -150753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add -69839 and -971.4947.\nAnswer: -70810.4947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -5*o + 2*w + 5, 2*w = o + 5. Suppose o*f = 10*f - 25. Let a(z) = z**2 + 2*z + 4. Calculate the remainder when a(-5) is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -10263132*h. Let w(f) = f. Determine p(w(s)).\nAnswer: -10263132*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 4*a - 1222, 0 = -3*a + 2*u + 234 + 682. Let i(d) = d**2 + d + 1. Calculate the remainder when a\/4 - 6\/(-12) is divided by i(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 704525711 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44512524.\nAnswer: 2, 3, 7, 97, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -2*q**2 + 193*q + 1372. Calculate o(103).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5115 (base 8) in base 2?\nAnswer: 101001001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 247906 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1\/20 of a meter?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -19*b*f*o**3 - 2*b*f*o**2 - 6*b*f*o*r + 5*b*f*o + b*o**3*r + 7*f*o**3 + 4*f*o**2 + 2*f*o + 5*o**3 - 5*o*r wrt o.\nAnswer: -114*b*f + 6*b*r + 42*f + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 179 = -14*i + 879. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 + 1003?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 587 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5.09 - -0.09. Let x be (-1216)\/95 + 1\/(-5). Let o = 15 + x. What is the second biggest value in z, o, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28.20641 days to microseconds.\nAnswer: 2437033824000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15915 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -6*d - 3*d - d - 4*d. Let z be w(-1). Let n be (-9)\/(-15) + z\/10. Solve -2*u = -0 + 8, 3*l - 2 = n*u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = v + 4*i, -5*i = -4 - 1. Suppose 4*o - 5*c - 151 = 0, v*o + 2*c - 7*c = 83. Is 12 a factor of (0 + 6)*o\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(4*sqrt(56)\/(sqrt(8) + sqrt(1000)\/sqrt(5)))**2.\nAnswer: -56\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1761*w + 2386*w = -25000 for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 2, 25\/3, -7, 1\/6, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, x: 2, m: 2, g: 4}. Give prob of sequence xxw.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1 times 278\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.4 + -2. Suppose 1 + 3 = -4*r. Let o be 1 + 0 + ((-252)\/45 - -5). What is the nearest to o in s, r, -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 117650000 to the nearest one million.\nAnswer: 118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 494208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*z - 2 = -1298. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 116*p - 118*p + 292 = 0. Is p a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppepeppp. Give prob of picking 2 p and 2 e.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l + 2509 = 86*x, -122 = -4*x + 1474*l - 1472*l for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0, -17, 40, -3.1, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14579\/64998 - 15\/7222. Determine m, given that 22\/9 - 14\/3*m + 2*m**2 + s*m**3 = 0.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*h + 5*j + 75 = 17*h - 14*h - 280, 2*h = 5*j + 175 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -940 - 818 + 647*n**2 - 637*n**2 + 1758.\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -45, -211, -495, -903, -1441, -2115, -2931, -3895?\nAnswer: -5013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -3*k. Let n(s) be the first derivative of 66*s**3 + 323. What is y(n(r))?\nAnswer: -594*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (18\/15)\/((-6)\/20). Let c(h) = -h**3 + h**2 + h + 5. Let s be c(i). Calculate the greatest common factor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-144)\/6*(-10)\/(100\/15). Calculate the greatest common factor of 3636 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 5*n - 1 = 0, -l - 4*l - 2*n = -13. Suppose -l*k = -0*k - 12. Suppose -3*f + 3*o = o - 64, -k*f = 3*o - 57. Solve 3*b = 3 - f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 6  (b) 9\/2  (c) -2\/19  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -205*h**4 - 213*h**4 - 54*h**4 + (-2*h**3 + 6*h**3 - 3*h**3)*(-4*h + h + 2*h) + 5*h**4 - h + h.\nAnswer: -468*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2 + 20 - 14\/7. Suppose -2*t + 0*t + 12 = 4*v, 4*v = -x. What is the greatest common factor of t and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 20 = -2*i, 3*n = 3*i - 15. Suppose 4*h + 11 = -9, -2*r - 4*h + 192 = n. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least 1\/11356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000001998167 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nkn when three letters picked without replacement from nkkzkkkzn.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 42*k**3 - 136*k**3 - 5*k**4 + k**5 - 53*k**3 - 113*k - 41*k + 305*k**2.\nAnswer: k*(k - 14)*(k - 1)**2*(k + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 10*b + 21. Let d be f(-3). Let q be (-2)\/3 + (-51)\/d. Suppose 0 = -5*v + j + 30, 4 = -0*v - 3*v + q*j. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/(-15) - ((-6754)\/(-495) - 14). What is the fifth biggest value in -15, 2\/3, p, -0.6, 0?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.07890517 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 < -35723.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**2 - 26. Let j be w(0). Let k = j - 0. Let c be k\/(-6) + (-12)\/(-18). Solve u + 5*o - 9 = 0, -c*u + 2*o + 12 = -6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 - 17 = 5*p. What is the units digit of 5\/(0 + (-3)\/p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -1, 6\/5, 1601, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 15*n**5 - 2*n**4 - 8*n + 2. Let a(j) = -30*j**5 + 5*j**4 + 16*j - 5. Let b(y) = 2*a(y) + 5*z(y). Find the second derivative of b(k) wrt k.\nAnswer: 300*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 3*s - 1. Let n(r) = 10*r - 3. Let x(t) = 3*n(t) - 8*y(t). Suppose -m + 0*m + 6 = 0. Is 13 a factor of x(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the second derivative of k**4\/6 + k**3\/2 - 3*k**2\/2 + 109*k. Determine s(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*u - 44*g - 226 = -91*g + 52*g + 76, -197 = -5*u + 4*g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**3 + 10*j**2 + 19*j + 18. Let s be t(-8). Find the common denominator of 1*10*(-3)\/252*s and -22\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 4*r + 2*r**4 + 6*r + 2*r**3 + r**2 - 2*r in the form n*r**4 + i*r**3 + v + x*r**2 + m*r and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8095*p**3 - 2440*p**2 + 2422*p**2 + 27 + 30 - 57 + 22*p wrt p.\nAnswer: 48570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18344810 and 53240?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 19*v + 49. Determine y(-6).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2\/9  (b) -16  (c) 0.5  (d) 3  (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 14308258 or 42924773\/3?\nAnswer: 42924773\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*o**3 + 17*o + 13*o**3 - 17*o.\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -5a81 (base 16) in base 10?\nAnswer: -23169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 7) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 701 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.6 - 2. Let c = -1 - d. What is the nearest to 2 in 3, 1\/8, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -18*((-6)\/4 - 12\/(-12)). Let d be (-106)\/3 + 4\/(-6). Let f be 5\/p + 12\/d. What is the closest to f in -0.5, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -17 and 87607059752?\nAnswer: 87607059769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1150 (base 9) to base 12\nAnswer: -5b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 8, s: 5}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -294, -647, -1236, -2061, -3122, -4419?\nAnswer: -5952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**2 - 5*y - 2. Let m(c) = 2*c**3 - 4*c**2 + c + 2. Let j be m(2). Suppose 0 = j*q - q + 9. What is l(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - f - 19, -5*t + 8*t - 27 = 5*f. What is the nearest to 2\/7 in -0.1, t, -5, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -313 - -2821\/9. Sort m, 1, -3\/2.\nAnswer: -3\/2, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35129005 is divided by 4651?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 0.02  (b) -174  (c) -2  (d) -6  (e) 5  (f) 1\/2  (g) 11.9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:58 AM and 6:36 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -3\/7*w**3 - w**2 - 1\/7 - 5\/7*w = 0?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of o**4\/2 + 14*o**3\/3 - 3*o**2\/2 - 16*o - 16. Let f be y(-7). Solve 0 = -f*i + x + 1, -8*i - 4*x + 21 = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -31, -60, -89, -118, -147, -176?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, q: 8}. Give prob of picking 3 a.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/79063608 and -167\/1957020.\nAnswer: 395318040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 5, -20, -1\/43?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 33 = -3*z, 3*z = -5*f + 4*z + 109. Let s be 15\/(-10)*176\/24. What is the remainder when -94*6\/(-4) + (-44)\/s is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4ca (base 13) to base 6\nAnswer: 3522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-2*sqrt(65)\/sqrt(5) + 1)**2 + (sqrt(52)*2*3)\/(-4*(sqrt(4) + sqrt(4)*1)).\nAnswer: -51*sqrt(13)\/4 + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 18 and 387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*o + 28 = -7*o + 2*z, 0 = -3*o - z + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the first derivative of 8*a**3\/3 - 2*a**2 + 632. Let f(g) = 8*g**2 - 3*g. Give -4*f(c) + 3*q(c).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -264, -525, -776, -1011, -1224, -1409, -1560?\n\"Answer: j**3 - j**2 - 265*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -14958 + -8?\nAnswer: -14966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (5*(sqrt(114)*2 + sqrt(114)) + sqrt(114))\/sqrt(6)*4.\nAnswer: -1 + 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 720852 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = -5*l - 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-6)\/(-4))\/(-1) - 351\/(-54). Let s be 5*4\/y + 4\/(-2). Solve -6*q + 3*q - 15 = 0, -s*r - 21 = 3*q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 20 or 259\/13?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 192 and 15264?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**2 - 6*l + 12. Let w be f(11). What is w rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 582612.945 rounded to the nearest ten thousand?\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**3 + w**2. Let v be -3*(0 + 2 + 0). Let k(i) = i + 7. Let o be k(v). Give m(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the first derivative of 3122*t**6\/3 - 2*t**5\/5 - 2*t**3\/3 - t**2 - 77*t + 1003. Find the third derivative of v(b) wrt b.\nAnswer: 374640*b**2 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8060 + -8058. Put 0, -849, a in decreasing order.\nAnswer: a, 0, -849","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1455d - -1?\nAnswer: -1455c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -40471, -40473, -40475, -40477, -40479?\n\"Answer: -2*u - 40469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14091826.\nAnswer: 2, 7, 1006559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 1, -9, -0.08, -77?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -820*u + 820*u + 2686*u**4 + u - u + u**4 - 1 + 1 + u**4 + (-3*u - u**2 + 3*u)*(-6*u**2 + 3*u**2 + u**2) - 2*u**4 + 4*u**4 - 3*u**4.\nAnswer: 2689*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -522, -1038, -1566, -2112, -2682?\n\"Answer: -g**3 - 509*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 130 in 8, -2\/5, -6, -34.05?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmmwmmmwmmmwmwmmmmmm. What is prob of picking 2 w?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 12478 divided by 3\nAnswer: 12478\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 3) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.69 + 12850682?\nAnswer: 12850681.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -10*b**2 - 3*b + 6. Suppose 92 = -9*d + 101. Let a(y) = -3*y**2 - y + 2. Let f(k) = d*r(k) - 3*a(k). Let t(c) = 1 - 1 - 15*c. Determine t(f(h)).\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(1700) - sqrt(17) - (sqrt(153)\/sqrt(36) - sqrt(17)))**2.\nAnswer: 28577\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -184 divided by -518415\nAnswer: 184\/518415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 - 5*o**2 + o + 5. Let g be n(4). Let w(x) = -2*x - 7. Let k be w(g). What is the greatest common factor of k and 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (w - 5*w + 2*w)*(47*w**3 - 151*w**3 - 172*w**3) as s*w**4 + l + c*w**3 + b*w**2 + q*w and give s.\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 5 - 17 = 0. Let a(r) = -r**3 + 3*r**2 + 2. Let x be a(3). Calculate the highest common divisor of x and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-5)*f*f\/f**(1\/9))**(3\/25))**(-3\/13) assuming f is positive.\nAnswer: f**(28\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 8*j**3 + 12*j**2 + 429*j + 1292. What is g(-3)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.88937279 rounded to two decimal places?\nAnswer: 0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8985966 and 2450718?\nAnswer: 26957898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 142 + -93. Suppose 2*t + k - 75 = 0. Solve f = 3*h + 5, h = 7*f - 3*f + t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**3 + 1052*y**2 + 110702*y + 109648.\nAnswer: -2*(y - 616)*(y + 1)*(y + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -278 and -163.\nAnswer: 45314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 4 = 6. Let s be (4*-1)\/(-49 - (239\/(-478))\/(1\/26)). What is the third biggest value in s, 4, o, 3\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**2\/11 + 413744*n\/11 - 37253160\/11.\nAnswer: 2*(n - 90)*(n + 206962)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 403 - 401. Let p = -122.4 + 116. What is the biggest value in -5\/3, v, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttrtwbnbrwttrrt. What is prob of sequence trbt?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*f - 25 = 5*g + f, -7 = -2*g + 3*f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the second derivative of -3*b**5\/20 - 2*b**4\/3 - 3*b**2 + 4*b. Is o(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 142*r = 140*r - 5*d + 37967, 3*d - 56946 = -3*r. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.12, 5.6, -5?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 - (-2 - -2) - 18. Let a = v + 59. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r. Let y(h) = -4*h**2 - 3*h - 3. Let g(n) = 12*n**2 + 10*n + 10. Let o(b) = 3*g(b) + 10*y(b). What is o(p(u))?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -3 + (2*sqrt(468))**2 + sqrt(468) + 1 + -2 + -1*(1 + sqrt(468)) + (sqrt(468) + 3 - sqrt(468))*-3.\nAnswer: 1856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3.3 + 0.7. Put r, 0.11, -0.2 in descending order.\nAnswer: r, 0.11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 998.5232 milligrams to micrograms.\nAnswer: 998523.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*m - m**2 + 0*m + (1 + 0 + 2)*(2*m - 2*m - m**2) + m**2 + 2*m**2 - 5*m**2 + (0*m + 5*m - 4*m)*(0*m + 3*m + 0*m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14143 (base 5) to base 12.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4398 - 4393. Let a be (-16)\/(-10) + (-8)\/(-20). Solve -6*t = -4*m - a*t - 8, 4*m - 3*t + x = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16018*p + 744 = 16042*p. Is p equal to 268\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -139.51  (b) 33  (c) -3  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10210 (base 4) in base 11?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3c6 + -63?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -12*x - 41. Let t(p) = p + 1. Let m(c) = g(c) + 5*t(c). Let u be m(-6). Find the third derivative of 8*f**6 - 10*f + 12*f**2 + 16*f**u + 10*f wrt f.\nAnswer: 2880*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 22 + -19. Suppose -l - 3*l = -4*c - 24, c = -3*l + 6. Sort v, c, -4 in ascending order.\nAnswer: -4, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16974 times -23.8?\nAnswer: 403981.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -11.45411847 rounded to one dp?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - -6. Suppose 0 = -2*r, 2*t + x*r = -9 - 1. Let n(z) be the third derivative of z**5\/60 + 7*z**4\/24 + 2*z**3\/3 - 7*z**2. Determine n(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -24325600 to the nearest 100000.\nAnswer: -24300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*y**3 - 5*y**2 + 2*y**2 + 3*y**2 - 2*y.\nAnswer: -16*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes before 3:35 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1421 is divided by 521?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -28*p + 6. Let h(o) = 9*o - 2. Determine 7*h(z) + 2*k(z).\nAnswer: 7*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 26628, 25993, 25358, 24723, 24088, 23453?\n\"Answer: -635*r + 27263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 888\/845 + -110\/169. Which is the closest to 19\/3?  (a) 3  (b) 1\/2  (c) j  (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11214801 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 20307457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 125\/35 + 4\/(-7). Find the second derivative of -72*x - 7*x**3 + 60*x - 10*x**k wrt x.\nAnswer: -102*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*y + 15*y = 0. Let h be (0 - 0) + 94 - y. Suppose -4*k = -h - 18. Solve 4*m - k + 12 = -4*j, j = -5*m + 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 4*j + 61. Let p(z) = -28*z**2 + 4*z. Determine p(t(x)).\nAnswer: -448*x**2 - 13648*x - 103944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -3, 3, -172, 6\/5, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11.350738 + -0.174638. Let f = u + -11.2. What is f rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.2  (b) 1\/2  (c) 0.3  (d) -0.573  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -209970000 to the nearest one million.\nAnswer: -210000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -866.685 + -0.515. Round u to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 130158 divided by -17?\nAnswer: -130158\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 43173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.5, -1, 1\/12, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 999*a**3 - 317 wrt a?\nAnswer: 2997*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 2, h: 5, b: 3, t: 7}. Give prob of sequence hhbp.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -666*x + 662*x - 16. What is the least common multiple of 30 and (x\/(-3) - 250\/120)*-92?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*g + 4*g, -3 = t + g. Let h be (0 - 1) + -9 + t. Let w = 11 + h. Solve -4*k + 3*k + 3 = w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1187004 - 1187004. What is x in -3362\/3*x - 2\/3*x**3 + r - 164\/3*x**2 = 0?\nAnswer: -41, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 219*l - 91*n + 93*n = 214*l - 5, 0 = -5*n - 50 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the first derivative of -m**2\/2 - m + 239. Let q(n) = 3*n**2 + 4*n + 4. Let y(p) = p**3 - 7*p**2 + 6*p - 4. Let i be y(6). Calculate i*k(b) - q(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8.0467 + 0.0717. Let f = -8 - i. Round f to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/(((-6)\/(-5))\/3). Suppose 8 = 3*g + 2. Let k be (g - 1)*(8 - -17). What is the greatest common divisor of k and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 4 = -2*l + 6, -2*u + 5*l + 23 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -380 by -10.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/3*(-13 + 25). Suppose 6*q - 16 - j = 0. Solve -9*k + 13*k + q = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxixididbdihdb. Give prob of picking 2 i and 1 b.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b - 24 = -14*b - b. Suppose c + 4*c = 0. Solve -b = -3*u, c*j - j = 3*u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 46, 84, 122, 160, 198, 236?\n\"Answer: 38*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*o - 1179 = 1395. What is the remainder when o is divided by 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4652 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: Calculate the remainder when 19186 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 11101110010101 (base 2) in base 4?\nAnswer: 3232111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3, 12, 2 in decreasing order.\nAnswer: 12, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 + 1539\/228*-5.\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7.4 or 12880?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 - (-64)\/70) + -49*(-86)\/14749. Let q be 0 - (-2)\/(-8) - -1. Which is the nearest to -2?  (a) y  (b) q  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the second derivative of -1\/6*h**3 - h + 1\/12*h**4 + 0 - h**2. Let s = 0 + 3. Determine o(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b + 4. Let o be r(-1). Let -6*f - 4*f**4 + f - 9*f**o + 2*f - 9*f**2 + f**4 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*h - h - 3. Let i be -2501*(h - -2) - 1. What is i rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 8*o**2 + 5. Let h(m) = -m**3 - 10*m**2 + m + 5. Let z be h(-10). Let i(x) = 12*x**2 + 8. Suppose -512 - 562 = 15*y - 1194. Calculate y*a(b) + z*i(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/18 - -1*(-256)\/(-18). Let x(n) = -n**3 + 14*n**2 - 3*n + 57. Let b be x(m). Solve 3 + b = -6*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 20094*x**2 - 20024*x wrt x?\nAnswer: 40188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2202 - 1011120?\nAnswer: -1021022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the third derivative of k**6\/120 - k**5\/15 + 5*k**4\/24 - k**3\/3 - 7*k**2. Determine c(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 265150812 divided by 524?\nAnswer: 506013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 30 and 525.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*a**2\/7 - 5532*a\/7 = 0. What is a?\nAnswer: -1383, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -672*v**2 + 1554*v**2 - 599*v**2.\nAnswer: 283*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 PM and 11:43 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**15*q*q**(-15)\/q)**(-33)\/((q*q*q*q*q**(-1)\/q*q*q)\/(q*q**(-7)))**(-6\/11) assuming q is positive.\nAnswer: q**(-303\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-1\/29)\/(k*k**(-1\/24)))**23)**(19\/3) assuming k is positive.\nAnswer: k**(-301967\/2088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.8 - -4. Let n = 2.1 + r. What is the biggest value in n, -7, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 at most -13.84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -4\/17 and 103\/102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -790 or -102949?\nAnswer: -790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 5325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -51 - -59. Suppose -l - 4 + 10 = -2*b, 0 = -2*l - 5*b - 6. Calculate the remainder when i is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**2 + i + 6. Let b be h(0). Suppose f + 80 = b*f. Suppose s - 23 = f. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jwuhj. What is prob of picking 1 u and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -944.19794 or -2\/7?\nAnswer: -944.19794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 49, 38, 21, -2, -31, -66, -107?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142918 is divided by 821?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -22*r**2 + 21. Let i(m) = -7*m**2 + 6. Let v(w) = -2*g(w) + 7*i(w). Let o(h) = -44*h. Give o(v(z)).\nAnswer: 220*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 - -101101100?\nAnswer: 101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**3 - a**2 + a**2)*(-3 - 1 + 1)*(3*a - a + a) - a**4 + 3*a**4 - a**4.\nAnswer: 19*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 - 16*a**2 - 5*a + 5. Let j(y) = 67823*y - 9*y**2 - 67825*y + 2 + y**2. Give 5*j(d) - 2*m(d).\nAnswer: -2*d**3 - 8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1.6 and -17948312541.\nAnswer: -17948312539.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - p - 1 = 0, -7 = 3*a + 4*p - 3. Suppose a = -4*g + 3*o + 94, -g - 5*o = -0*g - 35. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 836\/21 + -11633\/336. Calculate the common denominator of (-10)\/(-16)*1078\/275 and d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1502\/9 in 0.3, -1\/6, 5, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**3 + 10*d**2 + 4. Let j be w(-10). Suppose -j*x = -19 + 7. Let f be -2*(-11)\/((-143)\/13). Put -4, f, -5, x in increasing order.\nAnswer: -5, -4, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 21 - -2144400?\nAnswer: 2144421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -4*v - 5. Let i(d) = -3 + 5 - 1. Let a(w) = -2*w**2 - w - 2. Let f be (18\/10 - 0)*5250\/(-3150). Calculate f*i(t) + v*a(t).\nAnswer: 2*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -720, -1438, -2156, -2874, -3592?\nAnswer: -4310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 1289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 162 a factor of 62834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*c = 6*c - 12428. Let g = c - -961. Solve 3*w + 6 = 2*n, g*w + 10 = -4*n + n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -74655, -74664, -74673, -74682, -74691?\n\"Answer: -9*l - 74646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5\/6326619 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1672*g**3 + 429*g**3 - 528*g**3)*(6 - 3*g**2 - 4 + g**2).\nAnswer: -3146*g**5 + 3146*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**3 + 9*s**2 + 8*s + 12. Let o be g(-8). Let q be 2 + (o\/10)\/(-3). Factor 7\/5*f**3 + 1\/5*f**2 - 16\/5*f**5 + 0*f + 0 + q*f**4.\nAnswer: -f**2*(f - 1)*(4*f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = m - 0*b + 4, 0 = -5*m - 3*b + 14. Suppose 2*n = -m*n + 78. Solve a = -5*y + 11, -y + n = 4*y + 3*a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x + v + 1211, 0*x = -x - 4*v + 619. Suppose -5*i + x + 228 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(1\/9))**(-24)*t**(3\/5)\/t**(-19) assuming t is positive.\nAnswer: t**(254\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/((-68)\/19) + -1. What is the biggest value in -3, l, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*j = -3*g - 24, -4*g = -4*g - 2*g - 5*j - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.001, 0.4, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -f**5 - 3324*f**4 + 260024*f**3 - 6290346*f**2 + 39869465*f + 183511158 = 0. What is f?\nAnswer: -3401, -3, 23, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 + -11*7 - -4. Let t = -52 - q. Calculate the remainder when t is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5\/17  (b) 1.328  (c) 11  (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -14, 0.027, 7\/678?\nAnswer: 7\/678","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3090142?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9 and 1445103.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 + 2. Let a = u - 12. Let w be a - -1 - 150\/(-10). Solve -2*f + w = 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.12 - 0.18. Let h = 0.45 - 0.05. What is the nearest to o in 4, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12\/41 + -2139\/164. Calculate the common denominator of 89\/6 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 42\/24 + 2\/8. Solve z*g = 6*g + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -4*4*(3 + 0 + sqrt(2736) - sqrt(2736)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*v - 12*v - 54957 + 189782. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4\/3 of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 243, 2\/5, 2\/35, -3 in descending order.\nAnswer: 243, 2\/5, 2\/35, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 - 330*d**3 + 7 + 2*d + 332*d**3 + 2*d**2 to x*d + a*d**2 + c*d**3 + n and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -2*b**2 + 9*b + 2. Let s = -5 + 10. Let o be c(s). Which is smaller: o or 2\/13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*z + 27149 = -41*z - 48276. What is the thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 4*b - 141, 0 = -5*b - 0*d + d + 179. Suppose -5*v = -y - b, 3*v + 2*y - 36 = -y. What is the remainder when 31 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1344 by -42.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -216*l + 229*l = -156 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o**4\/2 + 27*o**3\/2 - 33*o**2\/2 - 63*o\/2 = 0. What is o?\nAnswer: -1, 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a**2 + 0*a**2 - 2*a**2)*(2 + 4 + 2).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/27)\/(9\/(-81))*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 52*o**2 - 5 + 4 + 0 - 168*o**2 in the form x*o + t + s*o**2 and give s.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llllllllllkllllklll. Give prob of picking 2 k.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3607450, -3607464, -3607482, -3607504?\nAnswer: -3607530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-12)\/(-2) - 1*2. Let w be ((-20)\/50)\/(2\/(-10)). Let y be (b*-1 + w)*-1. Solve m = y*o + 16 - 5, 0 = 3*o + 5*m - 3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 23 and 45189.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 5*f**3 - f. Let k(o) = -11*o**3 + o**2 + 2*o. Let z(b) = -10*b**3 + b. Let a be z(-1). Let n(g) = a*u(g) + 4*k(g). What is the tens digit of n(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21521 (base 6) to base 12.\nAnswer: 18a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-3)\/(-8))\/(6\/(-4)). Let s = 4 - 8. Let d = -1 - s. Sort q, d, 7 in decreasing order.\nAnswer: 7, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**3 + 6*q**2 - 6*q + 5. Let v be z(5). Suppose -6*m + m + 120 = v. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 3*k = -73, 4*k - 24 = u - 3*u. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**3 - 257*x**2 - 5864*x + 32809. Determine k(-231).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 705 - 703. Find the second derivative of -105*s**j + 63*s**2 + 99*s**2 - 14*s - 1 wrt s.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*d**2 + 248651 + 3*d**2 - 5*d**3 - 424*d - 248653 as q*d**2 + k*d**3 + s + y*d and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 262, 40, -182, -404, -626?\nAnswer: -848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x - 10*r - 7 = -11*r, 5*x - 166*r - 4*r - 150 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o**4\/7 + 43966*o**3\/7 - 483709*o**2\/7 + 1671086*o\/7 - 1759080\/7 = 0. What is o?\nAnswer: -43977, 2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven halves of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-4)\/(p\/((p\/p**(-2\/7))\/p)) assuming p is positive.\nAnswer: p**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 13*p**3 - 14*p - 4 + 2 + 15*p + (p**2 + 2 - 2)*(-3*p + 4*p + p) - 4*p**3 + 0*p**3 + 3*p**3.\nAnswer: 14*p**3 + p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 22083417?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 10869*p**2 + 16840?\nAnswer: 21738*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 28 = -4*c, -7*c + 2*c - 2*j = -20. Solve 2 = 4*p + c*i - 12, 3*i - 12 = -3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -115\/8492?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(4\/9)\/r**1)\/((r**(-2\/3)*r*r)\/r**(4\/7)))**(13\/3))**27 assuming r is positive.\nAnswer: r**(-1079\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 3 - 4)*(0*a + 2*a + 0*a) + a + a - 4*a + 0*a + 7*a - a in the form r + v*a and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**2 + 50*s + 607. What is q(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12.2 - -7.1. Let p = -5 - g. Is -2 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000010 + -1110010110?\nAnswer: -1101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3310.637km?\nAnswer: 3310637000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17 + -71. Let z be w\/(-20) - (-8)\/(-20). Solve -5*m + 3*k - 18 = 0, -z*m + 0 - 9 = 3*k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**2 + 7*v + 3. Let p be o(-7). Suppose -78 + 15 = -p*y. What is the remainder when y is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -618 - -628. Suppose -9*n - 5*b = -14*n + g, -3*n - b - 2 = 0. Are 1 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 2*t - 45, 0*t + 4*j = t. What is the second derivative of -t*r**3 - 30*r + 15*r**5 + 20*r**3 - 4*r wrt r?\nAnswer: 300*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 12 = 5*o - 2*o, n = 5*o + 20. Suppose -4*q = -q + 507. Let v = q - -1185\/7. What is the closest to 1\/4 in 3, v, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*a**2 - 3 - a**3 + 344*a - 8*a**2 - 343*a + 0*a**3 in the form k*a + q*a**3 + p*a**2 + z and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-1)\/2)\/((-2)\/(-20)). Let b(n) = n**2 + 4*n - 2. Let q be b(z). Suppose -d + 5*d - 12 = 0. What is the greatest common divisor of q and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -3, 1, 3, -1\/8, -18 in increasing order.\nAnswer: -18, -3, -1\/8, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*y**2\/5 + 56*y - 290 = 0. Calculate y.\nAnswer: -145, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 1399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (175*l**2 - 150*l - 490*l - 177*l**2)*(-1 - 2*l + 1) to the form x + n*l**2 + v*l**3 + s*l and give n.\nAnswer: 1280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -267 + 26*m**3 + 88 + 86 + 93.\nAnswer: 26*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 155305\/18 + -8624. What is the common denominator of y and 7\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -983 (base 16) to base 9\nAnswer: -3305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**2 + 4*o + 4. Suppose 4*n - 7 - 9 = 0. Let y be g(n). Let k = y - 1. Calculate the remainder when 11 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3209 - -3206. Is -83 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/8 + (-40)\/32. Which is the second smallest value?  (a) -3\/2  (b) 5  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 22 - 91c?\nAnswer: -8ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/((-720)\/(-5)))\/((-22)\/8)*(-3)\/1.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 168 = -4*r, -3*r + 165 = 3*a - 90. Let p = 18 + a. Calculate the highest common factor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**3*t\/t**(1\/3))\/((t*t**(-1)\/t)\/t)**(4\/11)*((t\/(t*t**(-1\/7)*t)*t)**(-36))**(-43) assuming t is positive.\nAnswer: t**(52099\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 2696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 + 2. Let t(a) = a**2 + 5*a - 3. Let y be t(s). Sort y, -5, 2\/13 in descending order.\nAnswer: y, 2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q\/(q\/(q**4*q)*q*q)*q**1)\/(q**(7\/2)\/(q\/(q*q**(4\/7))))*(q*q**1)\/(q**(-2)*q)*(q**(-1))**26 assuming q is positive.\nAnswer: q**(-309\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83993 - 84326 = -37*d. Let a(p) = -18*p + 9. Let r be a(-7). Let k = 216 - r. Calculate the highest common factor of d and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:55 AM and 1:45 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 849551?\nAnswer: 23, 43, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -72.9765966 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-24 - 13 + 56)*(2*y + 2 - 2) in the form z + l*y and give l.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 - 354?\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56533 is divided by 11304.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 - -517?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b - b + 4*g, -4*b + 10 = g. Let c(f) = -9*f**2 - 6*f**2 - 2*f**b + 37*f**2. Let q(l) = 2*l. Determine c(q(x)).\nAnswer: 80*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 112616, 450599, 1013950, 1802669, 2816756?\n\"Answer: 112684*p**2 - 69*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7926)\/59445)\/(-5*3\/(-1170))?\nAnswer: -52\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 394 - 388. Let f(n) = 5*n**2 + 17*n + 2. Let i(a) = -11*a**2 - 35*a - 5. Let g(m) = u*i(m) + 13*f(m). Determine g(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times 1719603?\nAnswer: 5158809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r - 8. Let s(z) = 15*z + 1. Let m(n) = 42*n - 13. Let l(b) = -m(b) + 3*s(b). What is -5*c(q) - 2*l(q)?\nAnswer: -q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -41 - -33. Let f = 8 + -12. Let a = -3.9 - f. What is the smallest value in a, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -103648, -414607, -932878, -1658467, -2591380, -3731623, -5079202?\n\"Answer: -k**3 - 103650*k**2 - 2*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 15*a**2 + a. Suppose -4 = 4*g - 0. Determine b(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/14 + 40*(-14)\/(-245) - -1. Let m = 575\/476 + 15\/68. Let i = m + 97\/35. Are p and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-63)\/(-3)*(-345)\/805\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -25257 (base 8) to base 9.\nAnswer: -15881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91\/4554 and 3\/(-36)*(10 - 27 - 60)?\nAnswer: 9108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f - 2*f + 72. Let m be ((f + 3)\/3)\/1. What is the units digit of 12\/(-18)*m\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**2 + q + 2. Let g be c(2). Let a be (1 - g)\/((-11)\/(-33)). Suppose 12 = -n + a*n. Let k(h) = 4*h. Let y(s) = -3*s. Give n*y(j) + 5*k(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 49*g. Let w(q) = -q**3 + 5*q**2 + q + 9. Suppose -4*i - 75 = -19*i. Let f be w(i). Let d(h) = -10*h. What is f*d(o) + 3*c(o)?\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 10) + -56 + -10 + 11 - -2?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 a when three letters picked without replacement from dttjjattzjatttttjjjt?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.04 in 0.05, -3\/4, 4, 4970, 1\/2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-5)*a*a**(-4\/5)*a**(9\/2)*a*a**0)**(-10) assuming a is positive.\nAnswer: a**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/(-3)*(-107)\/((-14980)\/168).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 2*s**2 + 14*s + 8. Suppose 18*q + 11 - 227 = 0. Calculate the remainder when q is divided by b(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/4 in 9.9, 1\/43, -3\/2, -3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h - 3. Let o be c(6). Sort 0, -2, -3, o in decreasing order.\nAnswer: o, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**2 + 4*t - 1. Let b be g(3). Let x(f) = -1 + 2*f**b + 1. Let y(n) = -2*n - 1 - 6 + 7. Calculate y(x(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -32 - -22?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 522286.\nAnswer: 2, 113, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 396 - 104 - 12 = -70*u. What is the fourth biggest value in 15, 0.5, -0.01, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 51\/65 and 25\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 419257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 3 x when four letters picked without replacement from {n: 3, x: 1, l: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in fifty-four fifths of a meter?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*z + r - 207 = 5*z - 221, -z + 7*r - 11*r = -3 - 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.3  (b) -476  (c) -122  (d) 4  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 854896 (base 13) to base 3\nAnswer: 12212200111221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of q**7\/14 - 3*q**5\/5 - q**4\/2 + 3*q**3\/2 + 3*q**2 + 9*q - 9. Let u(p) be the first derivative of h(p). Factor u(k).\nAnswer: 3*(k - 2)*(k - 1)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 k when two letters picked without replacement from {e: 2, w: 2, k: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 31 - -24) + -84 + 25\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -158 times -47942\nAnswer: 7574836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3237*k*p**3 - k*p - k - 2*p**3 - p**2 + 10987*p wrt p?\nAnswer: -19422*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (2 + sqrt(252))**2.\nAnswer: 24*sqrt(7) + 257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -1379*j + 4301. Is b(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 59670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 5*j = -3, 113 = -5*j + 128. Let b(k) = 11*k**2 - 7*k + 5. Let g(n) = 5*n**2 - 3*n + 2. What is l*b(f) + 7*g(f)?\nAnswer: 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, s: 2, d: 2, p: 1, k: 1, g: 2}. What is prob of sequence ddsp?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6 - 1596\/(-225))*(-2 + 0). Let t = -10621\/1050 - h. What is the common denominator of 71\/1670 and t?\nAnswer: 11690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*w = 4*w + 70. What is the greatest common factor of 56 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 334 + -330. Solve 18 = 2*x - 4*k, 2*x - 5*k - 26 = -o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h + 3*h - 4*h + (-16*h + 6*h - 12*h)*(-2 + 0 - 3))*(0*h - 3*h + 2*h)*(-2*h**3 + h**3 - 3*h**3).\nAnswer: 444*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*0\/((-4)\/(-2)))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -354*c + 354*c + 4*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -5a6195 (base 14) in base 3?\nAnswer: -12210222210002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 1014 = -4*r - 11334, 3*m - 5*r = 12348. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.2 - 1. Let j be -3 + 1\/(-7) + 3. Let p = 2\/63 + j. What is the nearest to -0.2 in -1, r, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2019 - 1970. Is i at least 77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-130 - 31)\/(2\/(-34)). Suppose -k - 371 = -12*x. What are the prime factors of x?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 k and 1 a when four letters picked without replacement from {k: 5, a: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*r - 15*r - 4 = 4*w, -w + 126 = -31*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 5*w + 43 = 0, 3 - 14 = m + 4*w. Let f be 0\/(3\/m*3). Suppose g + g - 12 = f. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.04 + 0.06. What is the closest to r in 2, 5\/4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d**5\/7 - 48*d**4 + 764*d**3 - 25728*d**2\/7 + 47070*d\/7 - 26352\/7 = 0. Calculate d.\nAnswer: -183, 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1, 19.\nAnswer: 1, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -662680578?\nAnswer: -662680579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-79)\/(-28) + (-3003)\/924.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2939122387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 103416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 16\/105 - (-14)\/(-49). Suppose -3*x + 46 = -3*z + 4, 4*z - 3*x = -51. What is the biggest value in q, z, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*l + 12*l**2 + 2*l)*(-2 + 2 - l + (-l - l + 4*l)*(5 - 2 - 4)) as q*l**3 + t*l + d + s*l**2 and give q.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the first derivative of g**6\/360 - g**5\/40 + g**3\/3 + 2. Let a(y) be the third derivative of t(y). What is the second derivative of a(m) wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 965*p**2 - 128*p - 401. What are the prime factors of g(-3)?\nAnswer: 2, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**2 + 4*m - 3. Let i be r(2). Suppose 1 = h - i. Solve 3*l + h*l = 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (101\/(-15) - (187 - 194))\/(6\/(-25)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**3 - q + 2. Let g be v(-2). Let n = g + 7. Is 10 a factor of 3 + -1*(-20 + n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7134.7 - -1372.3. Let u = -5770.39904 - c. Let g = -8 - u. What is g rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -518506 and 0.039.\nAnswer: -20221.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m - 4*o = 5*m + 367, 2*o + 4 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 135658 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*z + 3*z = 2*z. Sort 2, -2, -4, z.\nAnswer: -4, -2, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n - 28 + 37 = -q, -4*q + 41 = 3*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 628*k = 310*k + 318*k + 3*o, 2*o + 20 = -4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 22*o**5 + o**3 - 2521*o**2?\nAnswer: 1320*o**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -356617841.278 from -0.2.\nAnswer: 356617841.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 39089039*y**3 - 41628265*y**2?\nAnswer: 234534234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**2 + 18*a - 14. What is the remainder when y(16) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 + 118 = 5*l. Let n(g) = -g**2 + 16*g - 24. Let u be n(l). Suppose -3*s + 2*o + 101 = 0, 0*s = u*s - 2*o - 136. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 + 117)*(300\/24)\/25 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 773958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -10*((-32)\/(-640))\/((18\/16)\/(-9)). Let f be 0*1*(1 + 0). Solve -j = v*j - f*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 2 v, and 1 x when four letters picked without replacement from vuuvxis.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 - 6. Suppose -7*k - 550 = -j*k. Round k to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 3*(2 + 2 + sqrt(567) + sqrt(567) + sqrt(567) + 1 + 1))**2.\nAnswer: 3402*sqrt(7) + 46368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -229111594+-185410\nAnswer: -229297004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 849587.7g in micrograms?\nAnswer: 849587700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {w: 3, k: 3, m: 4, y: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/1720 and 51\/220.\nAnswer: 18920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 474695?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -5*q + 2*q**2 - 2*q**3 - q**3 + 4*q**3 + 2. Suppose -3*r - 4*u = -5, 3*r + 5*u + 11 = 5*r. Does 16 divide t(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 248284 to the power of 1\/2, to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**3 + 13*t**2 - 17*t. What is the units digit of s(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2588 - 2588 + 1174*m + 219*m)*(-54 - 40*m**2 + 54) in the form y*m**3 + w*m + c*m**2 + r and give y.\nAnswer: -55720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -16*o + 182. Give y(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1157982 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -331*r + 490*r = 2103*r - 3888. Suppose o - 2*o = 4. Let q(y) = -y**2 - 5*y - 4. Let t be q(o). Solve 2*a - a + r = t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 612, 536, 460, 384, 308, 232?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (13 + -11)\/(1\/4). Let f(z) = -2*z**2 + 18*z - 12. Let h be f(m). Sort h, 5, 2 in increasing order.\nAnswer: 2, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3110*y = 3135*y - 49550. What are the prime factors of y?\nAnswer: 2, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 970830*k + 74035. Let j(b) = 341*b + 26. Let p(u) = -17085*j(u) + 6*r(u). Let f(c) = c. Calculate p(f(y)).\nAnswer: -1005*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/64*2 + 243\/72. Factor -p*h**2 + 1\/2*h**3 + 15\/2*h - 9\/2.\nAnswer: (h - 3)**2*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14 - -13.957. Let z = -1196.697 - -1196. Let d = z + q. Round d to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -864217*d**3 + 432114*d**3 + 432104*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -36 - -60. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the first derivative of -3\/16*o**4 - 5\/12*o**3 - 7 - 1\/4*o**2 + 0*o. Factor g(s).\nAnswer: -s*(s + 1)*(3*s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 28299, 114208, 257393, 457860, 715615, 1030664, 1403013, 1832668?\n\"Answer: z**3 + 28632*z**2 + 6*z - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -4*v + 399, -3*z = 4*v - 8*z - 411. Let g = 3 - -8. What is the highest common factor of v and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j\/((j\/(j*j**(-6\/13)*j))\/j)))\/j)**(2\/33)*j**13\/j*j**(-5\/4) assuming j is positive.\nAnswer: j**(551\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 289.42 to the nearest integer.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/1 + (-24)\/5. Let o = 0.76 + -3.76. Which is the second smallest value?  (a) 5  (b) w  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the third derivative of b**5\/60 - 15*b**4\/8 + 593*b**3\/3 - 1020*b**2. Differentiate l(x) wrt x.\nAnswer: 2*x - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r + 4 - 17 = 2*z, 0 = -r + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that r**2 - 123687881*r - 123687882 = 0.\nAnswer: -1, 123687882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -1, -5, 0.273?\nAnswer: 0.273","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6720340.2 days to weeks.\nAnswer: 960048.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 275 - 273. Factor -50\/7*o**3 + 32\/7*o + 8\/7 + 10\/7*o**b.\nAnswer: -2*(o - 1)*(5*o + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 144.5 + -145. Which is the closest to -1?  (a) -1  (b) 0.4  (c) -0.1  (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -40211423 (base 6) to base 11.\nAnswer: -707247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*z**2 + 2*z**2 + 37*z**2 + (-4*z + 2*z + 0*z)*(0*z + 0*z - 2*z) + 22*z**2 - 69*z + 69*z to the form i*z**2 + m*z + y and give i.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, 2\/177, -3?\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.34994029 rounded to two dps?\nAnswer: 4.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11643607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 8749035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -55835841 divided by -267?\nAnswer: 209123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2151424261 to four dps.\nAnswer: 0.2151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 3000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 + -10 - -1 - 3) + 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/(s\/s**(-4))*s**4*(s\/s**(-4)*s)\/s**(-1\/2) assuming s is positive.\nAnswer: s**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*t**2 - 2*t**2 + 4*t**2 - t + t**3 to x*t**2 + p*t**3 + z*t + s and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 133*a**3 + 120*a**3 - 74*a**3 - 89*a**3.\nAnswer: -176*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 2*sqrt(128)*6 + 0)*5.\nAnswer: 15 + 480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 504\/16 - 13 - (-2184)\/(-104)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.9 - 0.97. Let i = -1.07 - k. Let p be (-32)\/56 - (-6 + 5). Does i = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2719\/2 + (-19)\/(152\/(-12)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 - 3*j**2 - j. Let w be p(-2). Let y = 0 - w. Suppose 17 = 4*s + 3*o, 3*s - y*o + 3*o - 14 = 0. What is the remainder when s is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 175 - 236.5. Let p = k - -82. Let n = -21 + p. Sort -2, -1, n in decreasing order.\nAnswer: n, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 60, -955, 2, 27 in decreasing order.\nAnswer: 60, 27, 4, 2, -955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes after 3:07 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3405, -3713, -4217, -4911, -5789, -6845?\nAnswer: -8073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -2*sqrt(125) + sqrt(125))*-2 + 1*(-1*(1 + sqrt(125)))**2.\nAnswer: 20*sqrt(5) + 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -19236179*i**2 - 126013353 wrt i.\nAnswer: -38472358*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (54\/32)\/((100\/(-50))\/((-4)\/3)).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2737 - 2738. Put -4, k, 3, 7 in descending order.\nAnswer: 7, 3, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - 4*w + 16 = 0. Is w > 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1065166788?\nAnswer: 2, 3, 7, 12680557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -16 + 13. Let h(u) = u**3 - 3*u**2 + 2*u. Let w be h(x). Is (-14)\/21 - (-364)\/w a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12502, -24947, -37332, -49657, -61922, -74127?\nAnswer: -86272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mppespmsos. Give prob of sequence eps.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3881190 and 345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-32)\/20)\/((-14)\/5)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -181, 0, 1, 0.2, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 4, i: 3}. Give prob of picking 4 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express n**4 + 656*n**2 + 625*n**2 - 63 - 1279*n**2 + 5*n in the form h*n**3 + b + d*n**4 + f*n + r*n**2 and give b.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 27 - 3 = 0. Let b(m) = m**2 - m + 19. Let z be b(o). Suppose 6*p + z = 7*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -2*v**3 + 3*v**2 + 3*v + 3. Let i be b(-2). Suppose 4*c - i = -5. Factor -2*f**2 - 2*f + c*f**2 - f**3 - f**2 + f**2.\nAnswer: -f*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*f = 29*f + 16*f - 1288918. List the prime factors of f.\nAnswer: 20789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*h - 7*h + h)*(-4*h**2 - h**3 + 4*h**2) + 5*h**4 + 12 - 12 to p*h + m*h**3 + s + r*h**4 + f*h**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1967*4\/(-8)*(-2 - 0). Let m = 9889\/5 + q. Calculate the common denominator of -43\/11 and m.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -5*f**2 - 302635*f - 12701850 = 0.\nAnswer: -60485, -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = -3*g + 5*h, 8*h - 4*h = 2*g + 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21, -68, -141, -240, -365, -516?\nAnswer: -693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d + 2 + 1 - 6 - 2. Determine v(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24293 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**3\/6 - o**2\/3 - 5*o\/6 + 1.\nAnswer: (o - 3)*(o - 1)*(o + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in fifteen quarters of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 16*l**2 - l - 2. Let p be r(-2). Suppose 2*t + 26 + p = 0. Let z = -2 - t. Is 43 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:06 PM and 11:00 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*a - 4*z + 16, a = 2*a + 5*z - 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5\/10 + (-9)\/(-2). Let m(y) = y + y + b*y - 5*y. Let n(g) = 3*g. Give m(n(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 2*t**2 + 50*t - 443. Determine b(-32).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 27691365?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -137\/18336 and 55\/163231656?\nAnswer: 652926624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -c0630 (base 14) in base 5?\nAnswer: -104242320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -2*c - 28, -5*b + 0*b = 2*c - 17. Is c + (-2 - -3) - -238 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 480 + -488. Is (79453\/(-22))\/(-3 + (-20)\/t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -3298, -3697, -4096, -4501, -4918, -5353?\n\"Answer: -k**3 + 6*k**2 - 410*k - 2893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 274643417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-12)\/(-3))\/((-2)\/2). Let x = 1 - l. Does 6 divide x*(-6)\/(-20)*12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the third derivative of m**5\/30 + m**4\/12 + m**3\/6 + 2*m**2. Determine k(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**2 - 17*k - 28. Let w be m(20). What is the greatest common factor of w and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2149695, 4299394, 6449093, 8598792, 10748491, 12898190?\nAnswer: 15047889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 82 and 10?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 78488299 > 78488299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-8)*2*(-24)\/(-6). Solve -u*d = -4, d = -4*f + 3*f + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hz when two letters picked without replacement from zjncjjjjhjf?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = y + 6, -4*j + y + 25 = 0. Sort 2\/1377, 2, 0.5, -0.1, j.\nAnswer: -0.1, 2\/1377, 0.5, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*f**3 - f - 20 + 20 to a*f**3 + o + b*f**2 + g*f and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5454 - -5449. Sort 75, 2, l in decreasing order.\nAnswer: 75, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.0792, 0.3, 0.1, 4 in descending order.\nAnswer: 4, 0.3, 0.1, 0.0792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -371, -760, -1149, -1538, -1927?\n\"Answer: -389*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-6))**(4\/9)\/(k**(17\/4)*k**(-4\/9)*k))**(-1\/6) assuming k is positive.\nAnswer: k**(269\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/7, 0.05, 0.34, 1\/6, 0.4, 18 in descending order.\nAnswer: 18, 3\/7, 0.4, 0.34, 1\/6, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the third derivative of -a**5\/60 + 7*a**4\/8 + 15*a**3\/2 - 4*a**2. What is the least common multiple of r(21) and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4 + 119702\/(-80) - 1. Let t = b + 1494. What is the common denominator of (675\/24)\/(-9) - 1 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(1\/15)*s)\/((s**17\/s)\/s))**(-21) assuming s is positive.\nAnswer: s**(1358\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4 + (6\/18 - (-8)\/3). What is the first derivative of -29 + 26*c**2 - 7*c + s*c wrt c?\nAnswer: 52*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -3*o**3 + 9*o**2 - 11*o + 11. Let k(g) = -g**3 + 3*g**2 - 4*g + 4. Let u be (16\/12)\/(2\/(-6)). Calculate u*f(s) + 11*k(s).\nAnswer: s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -6*s - 3. Let l = 139 - 137. Let y be k(l). Are y and -13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 15221573.082609 from 44.\nAnswer: -15221529.082609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1966218.\nAnswer: 2, 3, 43, 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32202255?\nAnswer: 3, 5, 2146817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of ((-24)\/18)\/2 - 3641\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 5.972754cm?\nAnswer: 0.05972754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 142206.1 kilograms in grams?\nAnswer: 142206100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*z - 20 - 46. What is the remainder when (-39)\/(-2) + 2\/(-4) is divided by z - 979\/(-88) - 158\/(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -131.7 - -132.7. What is the closest to f in -0.1, 0, -2\/219?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (1560\/(-50))\/((-3)\/10) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111011101 + -11?\nAnswer: -111100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 152717153 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 21*l + 11. Let d(n) = 210 + 59*n - 403 + 227. Let u(s) = 11*a(s) - 4*d(s). Let t(r) = 2*r. Determine t(u(c)).\nAnswer: -10*c - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010100000100 - 11?\nAnswer: 1010100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(1\/2)*w**7)\/(w*w**(-2\/7)*w)**(-31) assuming w is positive.\nAnswer: w**(849\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 - 13*j**2 - 10*j - 43. Calculate a(14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*j - 16 = 7*j. Is 4\/(-6)*(-3126)\/j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 1)*(-13 + 13 + 155*p) - p - 2 + 2.\nAnswer: -156*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3 + 4)*(2 - 1). Let j be 37763*((0 - 0) + b). Suppose l - 12*l + j = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -992 + 1006. Let i = -5 + 8. Suppose -134 = -3*u - 5*w, w - i*w = -4*u + 222. Calculate the remainder when u is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 3*w - 6*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3480.93*-46.\nAnswer: 160122.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*r - 2*r + 24. Let n = 15 - r. Solve n*l + 20 = -2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a century in years?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*z + 6*z - 26 + 7*z**3 + 18 - 10*z as t + x*z**3 + d*z + p*z**2 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 151 a factor of 306983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 247 - 267 - (-9 - -2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 - -4. Which is the third biggest value?  (a) w  (b) 0.2  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1369073307 rounded to the nearest one hundred thousand?\nAnswer: -1369100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, l: 5, z: 5}. What is prob of sequence zz?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3044 - -2851. What is the nearest to -0.1 in 2\/5, -3, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 = -66*n - 208. Put 3, n, -468 in descending order.\nAnswer: 3, n, -468","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0.239, 40, -4, 0.08, 5?\nAnswer: 0.239","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 + 450?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-36)\/(-10))\/((-9)\/(-30)). Solve -13*b + r*b = 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1902271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 u, and 1 f when three letters picked without replacement from ffccufffvzkffff?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*d + 12 = 15*d. Let u = 0.327 + 3.783. Let f = u + -0.11. Which is the second smallest value?  (a) 0.4  (b) d  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -2*f**3 - 3*f**2 - 2*f - 2. Let z be c(-2). Suppose -3*k = -38 - 22. Suppose m = z*m - k. Solve -3*g - m*b = -15, -b - 2*b + 11 = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*l + 3*l + l)*(2 - 3 - 1)*(-3 + l + 3).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from wwjd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.046 - 0.246. What is the smallest value in f, 1\/10, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 + 8. Find t such that 9*t**2 + 3*t - t + f*t**4 + t + 9*t**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8655 - -296?\nAnswer: 8951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 1  (b) 90  (c) -1777\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h**5 - 140*h**4 - 2132*h**3 + 3628*h**2 + 63040*h - 64400 = 0.\nAnswer: -10, -7, 1, 5, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7216 + -5626. Let c = 1655.97339 - 0.27339. Let s = j - c. Round s to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 268*w + 3 - 4 - 268*w + w**3 + 85*w**2 as d*w + n + g*w**2 + v*w**3 and give g.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 77179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-four fifths of a tonne in kilograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:23 AM and 7:38 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1383854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9.9 in 2\/11, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 25027125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*y + 90 = 13*y. Suppose 4*f - y = 18. What is the remainder when 24 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 953837029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the second derivative of -w**6\/1980 + w**4\/33 - 25*w**3\/6 + 15*w. Let p(k) be the second derivative of c(k). Suppose p(n) = 0. Calculate n.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.0017 - -0.0246. Is q at least as big as 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 divided by -8395804?\nAnswer: -11\/8395804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06 - 95073847935875?\nAnswer: -95073847935875.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 + 8*r**2 - r. Let q be d(-4). Suppose -j - 3*j + q = 0. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*v**3 + 5*v**3 - 3*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the first derivative of 2*p**3 - p**2\/2 - 38*p - 50. What is the units digit of d(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.024 + -2826795.\nAnswer: -2826795.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -6052256.544 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-1\/3)\/(((m**(-2\/9)\/m)\/m)\/m*m))\/(m\/((m*m**(-9))\/m)*m*m**6))**(-2\/93) assuming m is positive.\nAnswer: m**(272\/837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/1 + -3)*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-3430)\/(-77) + -32 - 36\/3\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 5:03 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -265 + 259 - (-3 + -19).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1509977 is divided by 515.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 q when three letters picked without replacement from {d: 6, r: 3, t: 2, q: 1, n: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1821295702.\nAnswer: 2, 43, 21177857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2803489 or -2803490?\nAnswer: -2803490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from hiioififihfihfiifihi?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22318 is divided by 248.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 3668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2\/3))**(-1\/11)*(a*a**(-9))\/(a**(-3\/2)\/a) assuming a is positive.\nAnswer: a**(-359\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p + p - 3*p)*(9*p - 2*p + p) + 5*p**2 - 2*p**2 - 5*p**2 + (-3*p + 3 - 3)*(-p + 3*p - 4*p) + 4*p - p**2 - 4*p - 2*p**2 - 2 + 2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (207\/(-24))\/((-1080)\/(-2880)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**4\/2 - 29*h**3 - 577*h**2\/2 + 3828*h - 8712.\nAnswer: -(h - 4)**2*(h + 33)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the first derivative of 4*k**5 - 3*k**5 - 6*k**5 - 8 + 3*k**5 + 8*k. What is the derivative of q(a) wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -588 - -1184. Suppose 15*y = q + 2374. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 113, 118, 135, 170, 229, 318, 443, 610?\n\"Answer: a**3 - 2*a + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the first derivative of 0*m**5 + 13*m + m**3 - 117 - 1\/2*m**2 + 0*m**4 - 25\/6*m**6. What is the second derivative of y(i) wrt i?\nAnswer: -500*i**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes before 5:08 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 18*b = 19*b - 17, 9 = 5*i + 3*b. What is the nearest to -0.1 in -2, i, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -3*c - 3*c + 5*c - 1 + 18*c**2. Let t be q(-1). Let o = 10 - 5. Solve -6*r - t = k - 2*r, o*k = 4*r + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the third derivative of 3*p**7\/70 - p**4\/4 + 23*p**2. What is the second derivative of w(d) wrt d?\nAnswer: 108*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 2*j**2 - j. Let v(b) = -44*b**2 - 20*b. Calculate -20*n(w) - v(w).\nAnswer: 4*w**2 + 40*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 3*r + 8. What is the remainder when 12 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1893218*x**2 - 1893212*x**2 + 7572850*x**2 - 1893210*x**2 + 5*x**3 + 1 - 1893210*x**2.\nAnswer: 5*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*f**2 - 2*f**2 + 2*f**2)*(0 + 1 + 1) - f**2 + 3*f**2 - f**2 - f to the form g*f + b*f**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times -121?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**3\/5 + 1109559*n**2\/5 - 4438296*n + 22191580.\nAnswer: (n - 10)**2*(n + 1109579)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -9*s**2 - 13*s + 1. Let g be y(7). Let w = -503 - g. What is the greatest common divisor of w and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 7494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -90 less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0, -1.03, 2\/33, 2.\nAnswer: -1.03, 0, 2\/33, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hgrgzzzzzghghm?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 13*g + 32. Let p be w(-2). Which is the second smallest value?  (a) 0.05  (b) 0.4  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 228010*l*w**5 + 226*l*w**4 - 1368*l*w**2 - 3*l*w + 50*w**2 + 780 wrt w?\nAnswer: 13680600*l*w**2 + 5424*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkyhkhhklhy. What is prob of picking 1 k and 1 y?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = -4*y + 77 - 29, y - 2*x = 6. Let b(h) = -h**3 + 12*h**2 - 18*h - 18. Let d be b(y). Solve 0 = 4*i + v - 17, 3*v - 5*v = -d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/3  (b) 439.3  (c) 7  (d) 0.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -0.02, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -12. What is the nearest to -1\/2 in -2\/13, 3, f?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j*j\/(j\/(j*j\/j**19*j))*(j*j\/((j\/(j*j**(-1\/4)))\/j*j))\/j)\/(j**(-4\/13))**(-50))**(-3\/35) assuming j is positive.\nAnswer: j**(4467\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31 + 184*u**3 - 182*u**3 + 93 - 42.\nAnswer: 2*u**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/4*(-280)\/2940. Which is the nearest to -1?  (a) z  (b) -3  (c) -11  (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8229 + -65781\/8. What is the common denominator of s and 44\/1853?\nAnswer: 14824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 + 218?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*p + 14*p - 59 + 28 + 28*p + 30.\nAnswer: 48*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*c = -14*c + 136. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-18)\/(-30) - (-8657)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 48336*g - 2583 wrt g.\nAnswer: 48336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 + -1. Let p = 3 - 2. Let v = p + -0.6. Is v not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13 + 19. Suppose 0 = -17*l + 20*l - y. Suppose -2*c + 0*c - 6 = 0. Sort -5, l, c.\nAnswer: -5, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.4515 + -0.0115. Round s to two dps.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i + 18. Let v be t(20). Let d be -3 + 2*(-6)\/v. Let 23*m**3 + 15*m**3 - 30*m**2 - 11*m**d + 18*m**3 + 5*m = 0. What is m?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (28\/6 + 4)\/(30\/45)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1539804 divided by 6\nAnswer: -256634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.08, 1, -3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 514 divide 118275024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.1 - -0.1. Let x = j - 0.2. Let u = -121849\/2 - -60925. Which is the closest to x?  (a) -3  (b) u  (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8 + 23*k**2 - 8 + 3*k**2 - 2 + 84*k**2 as c*k**2 + j + a*k and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 976712.\nAnswer: 2, 11, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -2505154 (base 6) to base 11\nAnswer: -91200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**2 - 140*k + 4900.\nAnswer: (k - 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 331*a - 98 = 329*a - 4*l, 2*l + 383 + 85 = 10*a for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*o**2\/3 + 2*o + 2\/3.\nAnswer: -2*(o - 1)*(4*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/2 + (-1)\/(-1). Suppose 2*p = q - 3*q + 10, 2*q - 4*p = -8. Suppose 0 = -q*m + m + 10. Solve -s*l - m = 3*o - 0, -o = -l - 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {i: 5, z: 11}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 354257 is divided by 1054.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**3 + 20*q**2 + 17*q - 33. Let o be y(-19). What is the third derivative of 89*v**2 - 118*v**4 + 68*v**o + 118*v**4 wrt v?\nAnswer: 4080*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -k - 5*d, -k + 3*d = -42 + 23. Calculate the highest common factor of k and 1690.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) -0.2  (c) -244543  (d) 4  (e) 0.5  (f) 3\/7  (g) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11887 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -17, 5, 75, 2.\nAnswer: -17, -5, 2, 5, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3159*t - 1576*t - 1586*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/(-4) + 87\/12 + (-81)\/(-108)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 138*m - 144*m = 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 36 and 3339.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30, -67, -108, -153, -202, -255, -312?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4.4 + 4.6. What is the second biggest value in -1, z, 1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*u + 7*u - 2*u - 3*u + 5*u + 0*u + (-4*u + 5*u - 2*u)*(1 - 5 + 2).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that -3*o**2\/5 - 192732*o - 963645 = 0.\nAnswer: -321215, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hyybyyzzb. Give prob of sequence hyb.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 2 = -6. Let h be (-3)\/(-1) - (6 - u). Which is smaller: -3 or h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -3, -2, -1, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -13*w + 155. Calculate the lowest common multiple of p(-7) and 10.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -12*f**2 + 256*f - 65. Let i(r) = 14*r**2 - 255*r + 81. What is -4*i(w) - 5*z(w)?\nAnswer: 4*w**2 - 260*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {c: 5, f: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 9*p - 145. Calculate t(15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6200 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 23, -6\/19, 2.2, -5, -1\/5, 5\/3, -7?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -482, -3168, -9890, -22484, -42786, -72632, -113858?\n\"Answer: -306*s**3 - 182*s**2 + 2*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 2*a - 80 = 0, 2*s + 3*a + 200 = -13*a + 11*a for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 3*q + 7*q + 81 = 0, 3*q - 1 = -h. Solve 2 = 2*f, -4*p + 0*p = -5*f + h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -2*n + 8. Let s be -8*(1 + (-1)\/4). Let a be r(s). Suppose -a = -x - x. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 244*h + 1223. What is x(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-22)\/28 - (-1)\/2. Let b = 0.2 - -0.3. What is the biggest value in b, -0.2, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -72*i**4\/7 - 408*i**3\/7 + 646*i**2\/7 - 180*i\/7 + 2 = 0?\nAnswer: -7, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 95475799, 190951604, 286427409, 381903214?\n\"Answer: 95475805*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 12\/((-204)\/629) - (-10)\/5\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -21.8 + 16.8. Which is the closest to 0?  (a) -0.16  (b) 2  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k + 3*m - 103, -k + 6 = -2*m - 25. What is the highest common divisor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4393987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -65.437 * -61\nAnswer: 3991.657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 68*t**2 - 8*t - 22. Let x be n(-3). Suppose -4*c + 1434 = 3*a - 408, -x = -a - c. Is 36 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -43*q**3 + 57*q - 11. Let x(k) = -85*k**3 + 35*k**3 + 19*k + 36*k**3 - 4. Let w(t) = -4*u(t) + 11*x(t). Find the second derivative of w(c) wrt c.\nAnswer: 108*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, e: 2, n: 1, v: 1}. What is prob of sequence zve?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -632*d - 99 = -641*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1775b (base 13) in base 11?\nAnswer: -30a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 5*f**3 + 4*f**2 + 5*f. Let x(h) = 11 - 11 + 659*h - 665*h - 5*h**3 - 5*h**2. Calculate -5*v(o) - 4*x(o).\nAnswer: -5*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in 0, -1, 5\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3418009*i**3 + 1709008*i**3 + 1709002*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*y - 7 = -13*y + 4*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -2*r + 2*r**2 - 3*r**2 - 4*r**3 + 3*r**2 - 2*r. Let o(k) = -k**3 - k. Give f(v) - 2*o(v).\nAnswer: -2*v**3 + 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0 - 0)*(-44 - -43). Let p(t) be the second derivative of r*t**2 + 1\/6*t**3 + 1\/60*t**4 + 0 + 7*t. Suppose p(u) = 0. Calculate u.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19.2*102\nAnswer: -1958.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 460316 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t - t = 6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 218 - 215. Suppose q + 57 = 3*q + m*x, 10 = -2*x. What is the lowest common multiple of 24 and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 346479 to the power of 1\/2, to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -522 - -375. Let h = i + 147.4. What is the second biggest value in 0.08, -4, h?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 22\/7?  (a) 0.5  (b) -1.56  (c) 7  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 131978538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + r - 4)*(2 + 3 - 3).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -688 divided by 43.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, 3, -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 352267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-56)\/126 - (-35)\/(-90).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33525212 to the power of 1\/2, to the nearest integer?\nAnswer: 5790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1597868 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4076646*d**3*i**2 - 86*i**2 - 91*i + 21 wrt d.\nAnswer: -12229938*d**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the third derivative of 0*s + 0*s**4 + 1\/735*s**7 + 1\/210*s**5 + 1\/210*s**6 + 0 + 4*s**2 + 0*s**3. Solve v(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 611 != -287\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 168 - -67 - -3*2 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 180 and 2220.\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**2 - 2*d. What is f(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 91 = 26*p + 13. Suppose 3*a - a = 4*d + 528, p*a = -3*d + 819. Calculate the highest common factor of a and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0, -8\/3, -0.17 in descending order.\nAnswer: 1, 0, -0.17, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**6)\/l*l*l**36 assuming l is positive.\nAnswer: l**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 - -15532211?\nAnswer: 15532213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the second derivative of -m**5\/20 + m**3\/3 + 7*m. What is the second derivative of f(i) wrt i?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -82 + 699. What are the prime factors of k?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, w: 10, e: 1, x: 2}. Give prob of sequence xx.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**3\/9 + 1153480*d**2\/9 - 166252208384*d\/9 - 1996521690624.\nAnswer: -2*(d - 288424)**2*(d + 108)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the third derivative of -23*z**6\/30 - 27*z**4\/4 - 177*z**2. What is the second derivative of f(u) wrt u?\nAnswer: -552*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -7*v + 3. Let d be n(1). What is the tens digit of ((-61)\/(-4))\/((-1)\/d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a gram in milligrams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-65)\/18)\/(2\/(-4)) and (-16 + 0)\/((-1386)\/441)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(588)\/(-2*sqrt(12)))\/((2*sqrt(70))\/sqrt(10)) + (-1*(0 + sqrt(700))*1)**2.\nAnswer: -sqrt(7)\/4 + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54427 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9 and 3853.\nAnswer: 34677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p**3 + 105*p**2 + 100*p = 0 for p.\nAnswer: -20, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 484 + -271. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 624144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -5*u - 3. Suppose 0 = k - 2*y - 9, u*k - k = -2*y + 17. Suppose -4*j + 55 = -k. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 908 divide 18253524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = f + r, -4*r + 7 + 10 = f. Suppose -t - 2 = 2*y, 4*t - 4*y - f = -9. Let o = 0 - 1. Is t greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -4 - 20. Let v = c - -5. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2442)\/1258)\/((-2)\/34)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t = -4*d + t - 31, 33 = -7*d - t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -2*g**2 + 32. Suppose -7*f + 4*f = 0. Let x be p(f). Suppose x*i = 29*i + 6. Which is smaller: 1\/2 or i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -13*y**2 - 34*y - 13. Let a(k) = -14*k**2 - 40*k - 14. Let l(d) = 6*a(d) - 7*i(d). Let n be -3 - (2 + 0)\/2. What is the tens digit of l(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -119*p - 1. Suppose 5*b = -0*b - 5. Let g be w(b). Let j = g + -81. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*z, 0*z = 3*i - 3*z - 3. Let h(s) = -3 - 5*s**2 + 2*s**3 + s + 3*s**i - 3*s**3. Calculate h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 666*g**5\/7 - 190472*g**4\/7 + 372482*g**3\/7 + 189084*g**2 + 109216*g + 4544\/7 = 0. Calculate g.\nAnswer: -1, -2\/333, 4, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2254*-0.1.\nAnswer: -225.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 61.4 and -3.4.\nAnswer: -208.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2827 + (11 - (19 + -1)).\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -369 + 578. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2138274 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 1163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -811749*b**4 + 34*b**3 + 84246125*b**2 + 1?\nAnswer: -19481976*b + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-52)\/(-6))\/(10\/30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) -3\/77  (c) -3  (d) -5  (e) -1.01  (f) 2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -188290, -1506393, -5084120, -12051289, -23537718, -40673225?\n\"Answer: -188303*n**3 + 6*n**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**13*k*k**(-38))\/(k**17)**(11\/2) assuming k is positive.\nAnswer: k**(-235\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 317655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5\/3  (b) 5\/6  (c) 3  (d) 2\/193  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*d - 20 = 9*d. Suppose -3*w - 21 = 5*l + 1, d*l = w - 4. Let r be ((-40)\/35 - -1)*l. Which is greater: -23 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -40 + 99. Let t = 90 - 47. Suppose 0 = -2*h + u + t. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 3*z + 0 = 1, 4 = s + 2*z. Solve -4*x + s*x = 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -54021 + 225122?\nAnswer: 131101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 2 = 28. Suppose -10*o + 204 = -d*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 2*y**2 + 31*y + 27. Let d be u(-15). What is the remainder when 78 is divided by d\/9*((-4)\/(-8) + 7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 48, 10, -2, 4 in ascending order.\nAnswer: -2, 3, 4, 10, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 238 divide 9993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-384)\/(-960))\/(21\/(-15)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and 4.9286549.\nAnswer: -24.6432745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 29*c**6 + 3*c**5 - 3*c**4 - 15*c**2 - 3*c. Let l(s) = -s**5 + s**4 - s**2 + s. Let w(z) = j(z) + 3*l(z). What is the third derivative of w(d) wrt d?\nAnswer: 3480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -3*w - 2. Let u(i) be the first derivative of i**4\/4 + 2*i**3 + 9*i - 5. Let p be u(-6). Let h(z) = -8*z - 8 - 5*z - 4*z + 5*z. Give p*c(j) - 2*h(j).\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8204893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8441.4465s to hours.\nAnswer: 2.34484625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1e11 + -f46?\nAnswer: ecb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -53864*p**5*x + 14*p**4 + 2*p**2 - p*x + p - 4*x - 84096 wrt p?\nAnswer: -1077280*p**3*x + 168*p**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4755597 and 238?\nAnswer: 9511194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g - 185133000 = -6*g + 12*g. What is g rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/(-2 + -2 + 3). Suppose 0 = -x*n + 6*n - 6. What is the first derivative of 0*k**2 + 6*k**n - 3*k**3 + 5 + 0*k**2 wrt k?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*p - 24*p + 112 = 0. Calculate the remainder when p is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 = 6*l - 255. Suppose -34*z + l*z - 18173 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 divided by -107?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:32 PM and 6:27 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -29*q**2 + 61*q + 370. Calculate b(-12).\nAnswer: -4538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -0*u + 4, 2*x + 12 = 2*u. Let i be (1\/(-2))\/(x\/20). Let j(q) = 3*q - 3. Let f be j(4). Solve -f = 2*y + 5*p, -i*y + 3*p + 27 = -p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 10, c: 1, v: 7, m: 1}. What is prob of sequence mc?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(1\/3)\/t)\/t)**(-4)\/(t*t**(-3\/7)*t*t**(-2)*t*t))\/(((t\/(t\/((t\/t**(-5\/4))\/t)*t))\/t*t\/t**(-6\/7)*t)\/(t**(-2\/7))**(-1\/15)) assuming t is positive.\nAnswer: t**(421\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3 + (-1)\/7*23. What is the nearest to h in -5, 8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*b - 3 + 2516*b**2 - 4332*b**2 + b + 2179*b**2 + 3.\nAnswer: 363*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 555 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*f**4 + 915*f**3 - 3725*f**2 + 3840*f + 540 = 0. What is f?\nAnswer: -1\/8, 2, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence om when two letters picked without replacement from {o: 2, y: 2, e: 2, m: 9, c: 2}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 228306 or 228360?\nAnswer: 228360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/5 of a centimeter in micrometers?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = z + 4*z. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3279868588 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9911*t**5 - 38*t - 51.\nAnswer: 198220*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (10 - (25 - 1)) + (11 - 32)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -83*c + 1225. Give z(-33).\nAnswer: 3964","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50345*u**3 + 50408*u**3 - 1 + 1.\nAnswer: 63*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.053 and -423?\nAnswer: 22.419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.35553 + -682\nAnswer: -681.64447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9066 by -1511.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6 - 13\/((-52)\/(-8)). Suppose -54 = -7*a + u*a. Solve 2*p + 16 - 4 = 4*g, 4*g = 5*p + a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of (-5 - (-1 - 9)) + 5\/1 and 4 - -2*(-2)\/4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-6)\/(-2))\/(0 + 1). Let i be (f\/(-6))\/(1\/(-24)). What is the greatest common factor of 120 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -121, -277, -721, -1597, -3049?\n\"Answer: -24*s**3 + 12*s - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c + 2 = -5*x + 1, -2*x - 10 = -4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f**3\/9 - 209*f**2\/9 - 415*f\/9 - 23 = 0. Calculate f.\nAnswer: -207, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(396)\/(sqrt(72)\/(sqrt(24)\/sqrt(3))) + -4*sqrt(220)\/sqrt(5)*-4).\nAnswer: 102*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8130939 kilograms in tonnes?\nAnswer: 0.0008130939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1682, -1705, -1730, -1757, -1786?\n\"Answer: -y**2 - 20*y - 1661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 31*t**2. Let w(q) = 2*q**2. Determine w(o(p)).\nAnswer: 1922*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9400, -9401, -9402, -9403, -9404?\nAnswer: -9405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72 = 41*f - 33*f. Let q be (-4)\/(-2) + 8\/(-4). Put f, q, -4 in descending order.\nAnswer: q, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 6*w + 5 - 5. Let n(m) = m. Let k = 101611 - 101613. Calculate k*j(g) + 14*n(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 27*z - 31*z + 20, 2*z = -5*t + 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-1134)\/(-24))\/(-27))\/(29\/(-232))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -12*h + 1. Let u be v(4). Let n = u - -50. Solve 0*l = 3*l - n for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, 84, 1, -1\/3?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + x - 27 = -2*z, 3*x + 25 = 2*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 195412 = 5*j + 116*z - 119*z, -39122 = -j + 5*z. Calculate the remainder when j is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f**2 - f**2 + f**2)*(-123*f**3 + 2351 - 2351).\nAnswer: -246*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22 + 210111?\nAnswer: 210012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13298564 is divided by 6649243?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:12 PM and 11:47 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 - 2*a + 1 - 3)*(-221 + 60 - 197) + (2 - 3 + 2)*(1 + a - 1))*(-7 + 2 + 2).\nAnswer: -2151*a - 2148","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -161 + 88. Let k = x - -135. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001108 rounded to six dps?\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 47131 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 146.\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**2 - 9*q - 5. Let j be b(-5). Let r = -9 + j. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 45*a. Let n be u(3). Let p = 5907 + -47183\/8. Find the common denominator of p and n\/(-160) + (-1)\/2.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*k + 6*k = -4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5862 + 17557\/3. What is the nearest to 1 in 2, d, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 235, 510, 785, 1060, 1335, 1610?\nAnswer: 1885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**3 + 897*g**2 + 132774*g + 261936.\nAnswer: -3*(g - 408)*(g + 2)*(g + 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 2*i. Let n(l) = 1190*l - 204. Let s(v) = -29*v + 5. Let z(k) = -5*n(k) - 204*s(k). Determine p(z(g)).\nAnswer: -68*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 5*m, 345*m - 344*m = 1171*c + 5854 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/7)\/(12\/(20\/5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 5*p - 27. Let t be v(5). What is the remainder when 30 is divided by (20 + -8)\/((-2)\/t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55365641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 336 + -333. Let f = -1 + -3. Let k = 2 - 3. Which is the closest to k?  (a) 0.1  (b) f  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {a: 3, l: 4, h: 8, y: 2, p: 2, t: 1}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**3 - 8*k**2 - 36*k - 32. What is b(-5)?\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 8*n - 16. Let r be w(8). What is the greatest common factor of 32 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -e9 (base 15) in base 13?\nAnswer: -13b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4221 + 100424?\nAnswer: 110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j - 2. Let f be b(2). Let h be (-13)\/4 + 5 + 2\/8. Solve g + h*g = z, -5*z + 4*g = f for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (24\/240)\/(((-24)\/550)\/(-3)) and 55\/306.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 313105309?\nAnswer: 11, 307, 92717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2214 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -z**2 - 1482*z + 7478 wrt z?\nAnswer: -2*z - 1482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41 - 14 = 11*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5781 divided by 1927?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9343\/10 - -937. Calculate the common denominator of q and (-6)\/(-3) + 82*(-2)\/48.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 59.942 + 0.058. Let v = -70.94 + 3.94. Let u = v + l. Sort u, 2, -0.1 in ascending order.\nAnswer: u, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 100, 441, 1016, 1825, 2868, 4145, 5656?\nAnswer: 7401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 150 a factor of 136172231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**3 - 25*y**2 + 54*y + 24. Let l be t(-27). Suppose 0 = l*s - 19*s - 9635. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*(-6)\/94*1\/3.\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the second derivative of c**5\/4 - 5*c**4\/6 - 10*c**3\/3 + 20*c**2 - c. What is t in n(t) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6414821?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:53 PM and 2:15 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -174558, -345716, -516874, -688032, -859190?\nAnswer: -1030348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, n: 11, g: 2}. What is prob of picking 4 n?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 6999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - (-26 + 13)) + 13 + 0.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 2 b when three letters picked without replacement from ggggfgkggbbf.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1706*a**2 - 2415*a**2 - 3271*a**2.\nAnswer: -3980*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q**2 + 23*q + 25. Let c be (-7 + 1)*64\/(-6). Suppose -2*k - c = -3*a, -5*k + 19 + 31 = 3*a. What is the remainder when l(-12) is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -444523, -888239, -1331955, -1775671?\nAnswer: -2219387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the third derivative of 361*w**8\/42 + 67*w**5\/6 - w**4\/8 + 265*w**2 - w. What is the third derivative of h(q) wrt q?\nAnswer: 173280*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 57.5+11\nAnswer: 68.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d + 1. Let o(i) = -i**2 - 2*i. Let y(n) = 5*m(n) + o(n). Let x = 539 + -522. Suppose x*t = -18*t - 245. Give y(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - s = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes after 4:15 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.1 + 0.4. Which is the third smallest value?  (a) 4  (b) o  (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 + 6316*k**3 - 2 - 3158*k**3 - 3 - 3704*k + 2*k**2 - 3159*k**3 as i + m*k + o*k**2 + d*k**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, k: 3, v: 1, f: 6, m: 1}. Give prob of picking 1 k, 1 m, and 1 u.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*w**2 + w**2 - w**2 + (7 - 9 - 61*w**2 + 3)*(3 + 9 - 1).\nAnswer: -673*w**2 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = m - 6*m, f + 4*m = 17. Suppose -j = t - 3, -f*t + 13 = 4*j - 4. Let r = 22 - 8. Calculate the remainder when r is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4 + 11 - (1 - -1). Let h = -24 - -358\/15. Which is the third biggest value?  (a) 2\/19  (b) h  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -58531 + -343?\nAnswer: -58874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 1867*s + 19169. What is x(-11)?\nAnswer: -1368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 - 10. Suppose -2*z - 4 = -2*u, 2*u + 3*z - 4 + 0 = 0. Suppose 3*d - 3*y = -18, 0*y + 24 = -4*d - u*y. Is a less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l + 5, -2*l + 17 = -3*w - 0*l. Let d be ((-6)\/2 - w) + 0. Solve -5 + 1 = -d*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-70))\/((-52)\/728)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-4)*-1*(-264016)\/4552.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8988934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2393315\/123 + 19458. Is t at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -632*u - 1923. Give n(-3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9 + -10. Let b = 64 - 383\/6. Let r = -8\/21 - -2\/21. What is the nearest to u in r, b, -1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 628 - 574 = 3*s, 2*s = 3*u - 3564. What is the remainder when u is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9 + 13. Suppose -w + s*w = -6. Round w to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12*q**4 + q**3 + 9*q**2 + 44 wrt q.\nAnswer: 288*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -25 + 29. Let x = 4 - v. Let j(b) = b**3 - b**2 + b - 3. What is j(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*k**2 + 97*k + 2262 wrt k.\nAnswer: -8*k + 97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -i**5\/3 - 392059*i**4 + 10585649*i**3\/3 - 9801541*i**2 + 31757012*i\/3 - 3920620 = 0.\nAnswer: -1176186, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 212002121 (base 3) in base 11?\nAnswer: 11717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 19*c - 7*c - 24. Find q, given that c*q**2 - 3*q**2 - 150*q + 620 - 2*q**2 - 2495 + 0*q**2 = 0.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6.9 + -7. Let k = n + -0.9. Let t = -2 - -6. Which is the smallest value?  (a) t  (b) k  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, u: 3}. What is prob of picking 3 r?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-158)\/(-395) - (0 + 413\/(-5)). Let t be (77 - 20)\/(3\/k). Round t to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15\/20 + ((-4)\/6)\/(344\/(-638520201)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.16343 to 3 decimal places.\nAnswer: -0.163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/80 of a millennium?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 150  (b) 0.5  (c) -4\/25  (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 5  (b) -0.3  (c) 3\/4  (d) 0.3  (e) -8458\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3961269 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 37 + 1*(-2)\/4*0. Suppose -5*r - 27 = -d. Suppose -r*w = 4*w - 180. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 - 2. Let f = -0.6 - -2.6. Suppose 0 = -5*r + 4*j - 20, 3*j - 26 + 11 = r. What is the closest to b in -0.2, f, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2978 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-41 + 21 - (-2 - 2)) + -3\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3066050 and 1300?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + ((sqrt(1053)*2*5 - sqrt(1053) - sqrt(1053)) + 1 + -3)*-1*2)**2.\nAnswer: 269568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 32*b + 25*b - b - 1.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 303d + -52?\nAnswer: 2feb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -16*b - 4. Is l(-2) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54960 = -925*v - 31990 for v.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -139\/4814388 and 3\/44.\nAnswer: 52958268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 8*m**2 - 10*m. Let s(k) = -k**2 + k. Let y = 0 - 3. Let o be 4\/4 + 1 + y. Let i(u) = o*p(u) - 10*s(u). Let q(c) = -11*c. What is q(i(x))?\nAnswer: -22*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(-2)*(-1 - 0). Let f be -1 - (-1)\/(0 + d). Let o = -177\/2 + 88. Is f greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 25*j - 31. Let m be o(7). Suppose -244 = -4*y - 4*u, 4*y + 3*u - m - 103 = 0. Calculate the remainder when y is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 8*d - 7. Suppose -5*m + 2*l = -3 - 23, l = -2*m + 14. Let r(s) = -s + 1. Calculate m*r(c) + f(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -20?  (a) -0.09  (b) -2  (c) 0  (d) -0.4  (e) -4  (f) 4595\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand d**2 - 3*d**2 + 0*d**2 + (4 - 4 - d)*(4*d - 6*d + 3*d) + (-5 + 5 + 2*d)*(5*d - 3*d + 0*d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -15*q**2 + 136*q - 6. Suppose u + 10 = -2*w + 4*w, -2 = 2*w + 5*u. What is the remainder when w is divided by t(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-5)*10\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u = 2*a, -3*u - 17 = -5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 55489?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -3*b**2 - b + 100. Let j be c(0). Solve 19*p - 14 = j for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 245 is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1980, -7842, -17610, -31284, -48864?\nAnswer: -70350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3439 < 4049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 102 + 76. Suppose 4*h - 252 = -14*g + 18*g, -g - 124 = -2*h. What is the remainder when y is divided by h?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43586 (base 9) in base 14?\nAnswer: a774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 21\/35 + (-37)\/(-5). Let d be (-4)\/((-64)\/20)*u. Suppose 13*v + 5*p + 125 = 16*v, -5*v - p + 255 = 0. What is the highest common factor of v and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 232811475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-86 + 125 - 72)*(-2*o**3 + 2*o**3 + o**3) + 5*o**3 + 0*o**3 - 3*o**3.\nAnswer: -31*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 214 divided by 2.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 125855910 and 3140?\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - -2. Let t be (-986)\/(-87) + (-330)\/99. Sort -4, d, t, -2.\nAnswer: -4, -2, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 4*c**2 + 3*c. Let g(w) = -19*w**2 - 21*w - 5. Let u(r) = 28*r**2 + 32*r + 8. Let x(t) = -8*g(t) - 5*u(t). Calculate 3*x(k) - 8*z(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 2269, 4528, 6787, 9046, 11305, 13564?\n\"Answer: 2259*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 218, 220, 222, 224, 226?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-4)\/(-26) - 512885\/(-871) is divided by 99?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82750 is divided by 169.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -531 = -5*y - 46. Suppose y = w - 94. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 13426 + 7?\nAnswer: 13433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-32)\/(-60)*18*6\/144\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -7\/8, 2\/3, 5893, 8, 5, 3\/4 in ascending order.\nAnswer: -7\/8, 0, 2\/3, 3\/4, 5, 8, 5893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 71 = 19. Let q = 44 - r. What is the lowest common multiple of (-18)\/(-2) + (-2)\/(-2) and q?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -2*k**3 + 15*k**2 + 6*k + 18. Let t be q(8). Which is greater: 13\/7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*s + 11*s - 3. Suppose s*n + 11 = 2. Let c be (n + 14\/4)*1. Sort -4, 4, c in increasing order.\nAnswer: -4, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xjp when three letters picked without replacement from {p: 1, w: 6, x: 1, s: 8, j: 1}.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + d = 4*d. Suppose 2*o - 52 = -2. Let s be -2 + o\/12 + 4\/6. Is s less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 621 + -456. What is the highest common factor of j and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 149037 and -1.99.\nAnswer: 149035.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -235006 + 1.\nAnswer: -235005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from jmmmmmmjjmjjjgmmmjj.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.7, 1, 17\/12, -1\/2 in decreasing order.\nAnswer: 17\/12, 1, -1\/2, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 40*f**5 - 28*f**5 - 29*f**5 + 10*f**2 wrt f.\nAnswer: -1020*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 13) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 52 = -3*x, 52*t = -x + 49*t + 34. Solve h + x - 15 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3331111 - -22?\nAnswer: 3331133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 15556 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: Let q = 49 + -49. Suppose -r = t + 3*r - 167, -t + 3*r + 188 = q. What is the remainder when t is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.7 - 0.1. Let g = s - 0.6. Let v be (11\/(-99))\/((-32)\/384). What is the closest to g in 5, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -748812.\nAnswer: -1\/249604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1*(-2)\/5 - 20256\/(-160). Let q = h + -123. What is n in -10\/7*n**q + 6\/7 + 2*n - 12\/7*n**3 + 4\/7*n**2 - 2\/7*n**5 = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 11\/4 of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3080 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssh when three letters picked without replacement from xhshhsshxss.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 5*f + 3. Suppose -1 + 4 = -v. Let r(c) = 5*c + 4. Let a(j) = v*r(j) + 4*w(j). Let q(h) = -3*h**2. What is q(a(t))?\nAnswer: -75*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -224 + 228. Suppose 2*f = 26 - 22. Solve 5*q = 20, -x*l - f*q + 20 = q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3149.14 less than 4630?\nAnswer: 1480.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2 + 9. Is b(0) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 90 divided by 9\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of p**4 - 1045732*p**3 - 2818061?\nAnswer: 4*p**3 - 3137196*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -20 - -20. Suppose -2*s - 3*b + 13 = d, -4 = s - 2*b - 0*b. Suppose 3*v = s*q + 2*q - 171, 57 = q + 4*v. What is the remainder when q is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-48)\/(-8) + 8\/((-8)\/4). Solve o + 12 = -5*t - j*o, -9 = 2*t - 3*o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 43, 79, 125, 181, 247?\n\"Answer: 5*o**2 + 21*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -80  (b) 1\/3  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/9*(-94)\/2.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 3, w: 3}. Give prob of sequence wfw.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 2*w**3 + w**2 - 77*w - 10. What is x(7)?\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.51 - 0.01. Sort -0.5, s, -1\/9 in increasing order.\nAnswer: -0.5, -1\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the first derivative of 431*h**7\/7 + 12*h**3 + 217. What is the third derivative of j(g) wrt g?\nAnswer: 51720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -59*u + 44. Let m be q(-6). Let c = m + -50. Is c a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2886\/7 + -11952\/35. Let q = -71 + g. Let u be 4\/(-15) - 6\/15. Which is the nearest to u?  (a) q  (b) -5  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4079 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -6507.8 times 0.2\nAnswer: -1301.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -36, -5, 42, 111, 208?\n\"Answer: n**3 + 2*n**2 + 18*n - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 4*w + 49. Let h(d) = -1. Let g(v) = 4*h(v) + i(v). Let k be g(-9). What is the greatest common divisor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 162 divided by -59?\nAnswer: -162\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = -b + 26, -2*b + 3*t = -t - 60. Suppose b*k = 27*k + 3639. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 83570.13 weeks?\nAnswer: 50543214624000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 10*v + 4. Suppose -6*c = -7*c + 3. Let r be i(c). Suppose 4*q = -l + 90, 2*l - 7*l = -2*q + r. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m - 5*d - 22 + 5 = 0, -528*d + 1570*d - 8 = 4*m + 524*d + 523*d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-72)\/(-16)*(-2)\/21?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7819 + 353*v + 7819.\nAnswer: 353*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -198 - -1384\/7. Let r = -0.05 + -1.95. Which is the closest to r?  (a) -2  (b) o  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8\/7?  (a) -2\/21  (b) 0.183  (c) 19  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-4*sqrt(200))**2 - (-4*(sqrt(2) - (-1 + sqrt(2)))**2 + 4).\nAnswer: 3199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*w + w - 5*h + 10, 2*h = 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -76 + -34. Let a = -113 - c. Let m = -2 + 9. Put a, 2, m in descending order.\nAnswer: m, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes before 1:46 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 40.62667 seconds in nanoseconds?\nAnswer: 40626670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8812?\nAnswer: 2, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3117924 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 - ((-14)\/1 + 0). Let c be 2\/(-3) - 488\/j. Let n = c - -33. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -7*d**3 + 6*d**2 - 4*d - 22. Is j(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2075 and 4399.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = -16*r + 66 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 24, -14, 322, 2 in ascending order.\nAnswer: -14, -2, 2, 24, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**2 + 7*p - 6. Determine m(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (5 - 11) + (0 - -6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g - 4. Suppose -3*j = 2*h + 175, 10*j - 5*j = -3*h - 292. Let w = j + 53. Let f be m(w). Solve 4*r - f*r = -8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21030 (base 6) to base 11.\nAnswer: 213a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 i when two letters picked without replacement from lnqinim?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9\/1007980 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:51 PM and 12:39 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o**4 - 2051732*o**3 + 12310296*o**2 - 24620528*o + 16413664 = 0 for o.\nAnswer: 2, 512927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -277689674 divided by 29.\nAnswer: -9575506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13 + -5. Let x(s) = -4*s**2 + 0*s**2 - d*s**3 - 1 + 5*s**2. Determine x(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -711*i - 195 - 275 + 475.\nAnswer: -711*i + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -693*d**3*v**2 - 2613*d**3 - d**2*v**2 + 2*v**2 - v wrt v.\nAnswer: -1386*d**3 - 2*d**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**2 - 25*j - 11. Calculate i(25).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 2 = -3*j. Sort 4, 1, 0, j.\nAnswer: j, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 12.3 and -0.296?\nAnswer: 12.596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -166*m + 67*m + 258*m - 163*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 2*w - 5. What is o(-6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 63 = -39. Is -34 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 147386 is divided by 35819?\nAnswer: 4110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -2*l + 54, -7*l + 116 = -2*l - 3*x. Suppose 5*v - 20 = -3*r, 0 = 2*v - 2*r + 6*r - l. Solve 0*j - v = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 10 = -13. Suppose 32 = -3*p - 4*n, -n + 17 = 2*p - 6*n. Sort -5, o, p.\nAnswer: -5, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*p**2\/4 - 2331*p\/2 - 89661\/4 = 0. What is p?\nAnswer: -19, 1573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 375 and 30892?\nAnswer: 11584500","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Is 1124 less than or equal to 1126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 937?\nAnswer: 1\/937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 3*f - 10. Suppose 4*b - 5*i + 0*i = 157, 2*i - 188 = -5*b. Suppose -3*o = 4*a - 19, b = 5*a - o - 0*o. Is k(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 13 + 5 = 0. Suppose 74 + 118 = 24*k. Suppose -k*d + 480 = -z*d. Calculate the greatest common factor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/9*3*6. Let m be -517 + (-6)\/4*c. Round m to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.05 - -2.95. What is the closest to m in -0.2, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9472 + -4733. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -p**3 + 41*p**4 - 40*p**4 + 7*p - p**3 + 1 + p**2 - 3*p in the form q*p**2 + w + o*p**3 + h*p**4 + f*p and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (33\/(-12) + 2)\/(-89 - (-1249677)\/14040).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6 + 17 - 320)*8\/24. Put v, -4, -5, -6, -1 in increasing order.\nAnswer: v, -6, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10319 and 547.\nAnswer: -5644493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 4, p: 3, a: 7, u: 2, h: 3}. What is prob of picking 1 a, 1 w, 1 h, and 1 u?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*q - 146205 = 124985. What are the prime factors of q?\nAnswer: 2, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, f: 1, o: 1, d: 3, h: 1, j: 3}. Give prob of sequence jfh.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -aab127 (base 12) in base 2?\nAnswer: -1010010110110011101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30, -22, -18, -24, -46, -90?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**3 - 3*h**2 - 2*h - 1. Let j be g(-2). Let b be ((-8)\/28)\/(j\/4). Which is bigger: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = -5*g + 40. Let w(a) = -a**2 - 5*a - 3. What is w(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22 (base 3) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that 5*j**2 + 82*j + 127*j + 1620 - 29*j = 0.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28896.\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 272063662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 355 by -88.\nAnswer: -355\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 7*c - 32. Let r be u(5). Suppose -r*b = -9*b + 2700. Suppose -173 = -2*z + 6*g - g, 5*z + 5*g - b = 0. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0013004156112 to four decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 244345853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -54*m - 43. Let f(q) = 55*q + 52. What is -5*f(z) - 6*j(z)?\nAnswer: 49*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-9 + 12)\/(6\/(-8)) + -257. Let t = 278 + q. Let z(s) = -s**3 + 8*s**2 - 6*s - 2. Let u be z(6). Calculate the highest common divisor of u and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 577216 and 11196?\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(19\/5))\/(w*w**9*w)*w\/(w*(w**17*w)\/w)*w**(-10))**(-2\/5) assuming w is positive.\nAnswer: w**(332\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -228*d**2 + 51*d - 5 wrt d?\nAnswer: -456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -4*q + 2. Suppose -1 = -q*x + 5. Let f be 6\/(-14) + 9\/21. Solve -p - 2*p - x = f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.4 + -0.6. Let k = 0.129 - -2.681. Let v = k - -0.19. What is the nearest to n in v, 2\/17, -5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 312 a factor of 4082208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 29 + 187 - 3*g - 4*g + 2*g - 54. What is the remainder when (-1704)\/(-10) - (-2)\/(-5) is divided by i(21)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-397)\/19 - (-2)\/(-19). Let b(k) = 3*k + 67. Let d be b(a). Suppose r - 4*r = 0. Solve -v + 0*q + 4*q - 4 = r, d*q + 12 = -3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oooooloooololoooolo. What is prob of sequence ll?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 3*z = -4*z - 29229, -4*m - z = -38972. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(3\/8)\/u*(u**(1\/4)\/u)\/u)**(-2\/7) assuming u is positive.\nAnswer: u**(19\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, w: 4, r: 1, y: 7, a: 4}. Give prob of sequence aay.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102 = -4*z + 78. Let n be 0 + 7 - (-3)\/9*-6. Calculate the greatest common divisor of n and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**2 + 4*a - 5. Let q(p) = -2*p**2 + 11*p - 16. Let c(y) = -17*n(y) + 6*q(y). Let k(z) = 2*z**2 - z - 5. Give 4*c(u) - 9*k(u).\nAnswer: 2*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 0.014, -4, 84?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3921.075 + 3921. Is 3\/7 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(2736) + (1 + sqrt(2736))**2 + -5)*1.\nAnswer: -5464 - 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1229.\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14 - 20. Let a(n) = -n**3 - 7*n**2 + 7. Let t be a(-7). Let w = i + t. Calculate the least common multiple of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1451683850.\nAnswer: 2, 5, 29033677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (-7 - -5) - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1101008 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 common denominator of 5\/20 - 500\/(-16) and 93\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -229*b**2 + 4*b - 6007 wrt b?\nAnswer: -458*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.158566202 rounded to five decimal places?\nAnswer: 0.15857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-267)\/(-18))\/(4\/(-3)) and -77\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 199226112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50 - 110 = 10*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/26 in -7, 0.3, 2\/27, 1, -1\/9?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 6, -3, 26, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -52 + (-13 + 138 - 168)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -20023004 + -11?\nAnswer: -20023020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*o - 35*o + 258 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(1125)*2 - sqrt(1125) - sqrt(1125))\/(sqrt(441)*-2 + sqrt(441)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*i**2 + 2*i**2 + 4*i**3 + (-i + 2*i - 3*i)*(0*i**2 + 4*i**2 - 2*i**2) + 3*i**2 - 3*i**2 + 2*i**3 + 4*i**3 - i**3 + 0*i**3 - i**3 - i**2 + i**2.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes after 10:34 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the second derivative of 5*v**4\/12 + 19*v**3\/6 - 5*v**2\/2 + 8*v. What is the units digit of r(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*b**4 + 2*b**2 + b - b + 14*b**4 - 2 - b to r*b**2 + h + w*b + q*b**3 + m*b**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -159.5 + 114. What is w rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 27 + -30. Let z be 29\/((-1218)\/(-180)) - 4. Which is the nearest to z?  (a) -1\/4  (b) 4  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 242*u + 23 = 219*u. Let j = 1\/59 - 196\/1121. Which is smaller: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -13 at most 130136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -211 - 305 - 109 + 47 + 2458*k**3 wrt k.\nAnswer: 7374*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 109 * -3.\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*v + 2*v - 64 = -6*v + 5*m, 0 = -3*v + m + 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 329 and 179963?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 241270 and 8620?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1322 + -24.1508.\nAnswer: 1297.8492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -34424 (base 8) to base 16.\nAnswer: -3914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -196*c**2 + c. Let s(z) = -3*z + 18. Calculate x(s(r)).\nAnswer: -1764*r**2 + 21165*r - 63486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 608 is divided by 150?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x**3 + 3324*x**2 - 10024*x - 13344 = 0. Calculate x.\nAnswer: -834, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16.94786 - -0.09314. Round h to 1 dp.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 270568128?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 57941731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 4*x - 3*l + 5, -l = 2*x - 8. Which is the nearest to 7?  (a) x  (b) 0.1  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19260?\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 = -105*s + 472. Solve -4*x - s*y - 7 = 1, x + 4*y = -17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 4\/25, 1, -0.4?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1287 is divided by 205.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((28\/(-10))\/(3913\/(-83850)))\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 2*t**2. Let z(a) be the first derivative of 659*a**3\/3 - 1652. Give g(z(d)).\nAnswer: 868562*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 35 = -25, 5*t - 13*z + 165 = -16*z. Let a = 2.2 - 2. Sort t, a, -2\/5, 1\/6 in descending order.\nAnswer: a, 1\/6, -2\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2928 + 2806. Which is the smallest value?  (a) 5  (b) j  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 + -16. Let w = g - -14. Let a be 8\/(-4) + (1 - -6). Sort 2, w, a in increasing order.\nAnswer: 2, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 26 + -8. Let u = -453 + 461. Suppose -6*i + u*i = 4*a - l, 5*a = i + 24. Solve -3*x - i = -2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(2) + 2) + -2 + 2)**2.\nAnswer: 100*sqrt(2) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((4*sqrt(91)\/sqrt(7) - 3*(sqrt(13) + sqrt(13) + 0))**2 + -2).\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 + -2 + 117\/42. Let h = f + -2\/7. Let t = 5 - 9. Sort 2, t, h in decreasing order.\nAnswer: 2, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*d + 6, 3*d - 40 = -w - 48 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 119 + -151 - (-1 + 0)\/1.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44 = -79*t + 90*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -208, -104, 0, 104?\n\"Answer: 104*u - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 31, 135, 211, 169, -81, -629?\nAnswer: -1565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 44605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*n - 0. Let w be 2\/9 - 33\/27. What is the units digit of n + -1 + w + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*i**2 - i - 80*i**3 + 248*i**3 - i - 82*i**3 - 88*i**3 - 44 in the form w*i**2 + p + b*i**3 + g*i and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 55510249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -204*o - 62 + 124 - 62.\nAnswer: -204*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -1, -400, 27, 5.\nAnswer: -400, -1, 4, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1\/(-2))\/((-6)\/60). Suppose 0*x - 21 = -3*x. What is the units digit of (x + 1)*l\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -13\/2  (b) 0.2  (c) 6  (d) 1052  (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 514.0494 hours to minutes.\nAnswer: 30842.964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.3  (b) -72  (c) 0.5  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 4*j + 2. Let q be v(4). Let k = 25 - q. Let d = k + -5. Solve -5*i + 12 = -d*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45142210 (base 7) in base 3?\nAnswer: 21100121222201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -33*a - 262. Calculate d(-7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u**4\/5 + 8256*u**3 + 190986552*u**2\/5 + 304535885376*u\/5 + 34385027780976\/5 = 0 for u.\nAnswer: -4546, -122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*h - h - 8*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 63528386 to the power of 1\/4, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/(q*(q*q\/q**(-6\/7))\/q)*q\/((q\/(q\/q**8*q))\/q))\/(q**6\/(q**(3\/7)*q)))**20)**31 assuming q is positive.\nAnswer: q**(-49600\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-1420)\/112 + (-1444)\/2128 + 29\/(-406)\nAnswer: -94\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-12)\/(v\/v**(3\/5)))\/(v**4)**(1\/6) assuming v is positive.\nAnswer: v**(-196\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zjgzzjv. What is prob of sequence jzvg?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 38455, 153851, 346183, 615451, 961655, 1384795?\nAnswer: 1884871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 64562.42 millimeters in centimeters?\nAnswer: 6456.242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 254*l**5 - 256*l**5 - 601*l**3 + 625*l**2 - 44*l**3 wrt l?\nAnswer: -120*l**2 - 3870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -0*h - 28. Let i = h - -17. Solve 3*v = -3*f, -i*v + 15 = -f - 7*v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(sqrt(228)*-2 - sqrt(228))*4)\/(-2*(((sqrt(972) - (sqrt(972) + (sqrt(972)*4 - sqrt(972)))) + sqrt(972) - sqrt(972)) + sqrt(972) + sqrt(12))))**2.\nAnswer: 17100\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 2*n + 1 + 2 + n**3 - 4 - 5*n**2. Let o be (-2)\/(-5) + 36\/10. Let m(q) = -q**3 + 4*q**2 + q + 1. Let v be m(o). Give j(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 105*m + 13. Let t be z(-2). Let q = t + 35. Which is smaller: q or -2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xtuxduddtudhhuuxtddu. What is prob of picking 2 h, 1 u, and 1 x?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -774 = -246*k - 141*k. Let q(p) = p**3 - 8*p**2 + 7*p - 2. Let o be q(7). Let w be 0\/((4\/o)\/2). Solve w = 3*d - d - k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/3  (b) 15.6  (c) 2  (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -40*m - 21. Let a be g(-5). Suppose -3*q = -z - 198, -5*q = z - a - 143. Let k = 95 - q. Calculate the lowest common multiple of k and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16978397 * 0.3\nAnswer: 5093519.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -4730138, -4730139, -4730140, -4730141?\n\"Answer: -k - 4730137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*s + s - 45*s**3 + 734 - 4*s + 206*s**3.\nAnswer: 161*s**3 + s + 734","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 12*q**3 + 10*q**2 - 133 wrt q?\nAnswer: 36*q**2 + 20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 1 a when three letters picked without replacement from {e: 4, a: 4, k: 2, s: 1}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -14\/14043 and -76\/20385.\nAnswer: 631935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52891432.\nAnswer: 2, 11, 601039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the second derivative of -u**3\/6 - 11*u**2\/2 - 15*u. Suppose 6*z + 20 = -16. Calculate l(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 52 - -5641?\nAnswer: 5693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -3*i**3 - 7*i**2 - 2*i. Let y(t) = -4*t**3 - 8*t**2 - 2*t. Suppose 4 = -2*j - 0, 0 = 2*r + 4*j + 18. What is r*y(d) + 6*n(d)?\nAnswer: 2*d**3 - 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*o = -344 + 344 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 813898*w**2 + 1142871.\nAnswer: 1627796*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -105*x - 15. Let d(c) = 26*c. Let a(r) = 4*d(r) + w(r). Give a(13).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5371415*q**2 + 2702*q + 658 wrt q?\nAnswer: -10742830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**2 - r + 2. Let q(w) = w**2 + w - 3. Let d(f) = -3*b(f) - 2*q(f). Let j be d(-2). Find the second derivative of 3*a - 3*a - j*a**4 + a wrt a.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 5*g**2 - 3*g + 16. Let n be z(-6). Suppose t + 5*m = -108, -5*t - 5*m + n - 734 = 0. What is the tens digit of -6 + (2 - t) - (1 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3 and -685.\nAnswer: -688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**2 + 4*o. Let k(p) = -p**2 - 5*p. Let j(r) = 6*a(r) + 5*k(r). Suppose -2*w - 34 + 42 = 0. Let n be 87\/(-58) + 2\/w. Give j(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 14011*k. Let y(d) = -3*d. What is y(l(o))?\nAnswer: -42033*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gggkgk. Give prob of picking 2 g.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-14)*k*k**(-3\/23)*k*k\/(k\/(k\/(k**(-12\/5)\/k))*k)*k*k*k**(-4\/9) assuming k is positive.\nAnswer: k**(-7426\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 29298420 or 29298426?\nAnswer: 29298426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**3 + 12*z**2 + 18*z - 13. Let c be u(-10). Solve -1 = -3*y + i, 2*i = -y + 6*i - c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2667166483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 2 = -o, 5*a - 2*o + 9 = -1. Let d(q) = q**3 - q**2 + 2*q. Let p(c) = -4*c**3 + 4*c**2 - 7*c. What is a*p(w) - 7*d(w)?\nAnswer: w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the first derivative of -l**7\/14 + l**3\/2 + 3*l - 1. Let s(z) be the first derivative of b(z). Find the second derivative of s(k) wrt k.\nAnswer: -60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i - r + 59663, -713*i + 714*i - 4*r = 11920. List the prime factors of i.\nAnswer: 2, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -217 + 421 = 3*y. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 689999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.58 plus 27?\nAnswer: 27.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3355*w**6 + 145*w**5 + 144*w**2 - 106*w wrt w?\nAnswer: -402600*w**3 + 8700*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -142\/7 < -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*g - 6 + 28 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 76*n**2 - 14*n**3 + 37*n**3 - 3*n**3 - 85*n**2 - 12*n**3.\nAnswer: 8*n**3 - 9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -578986817 and -0.3.\nAnswer: 173696045.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.6 + 1.4. Let h be (16\/112)\/((-4)\/(-14)). What is the smallest value in u, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 281655.5193 to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 1)*(m**3 + m**4 + m**3 + 1 - m**3).\nAnswer: 2*m**4 + 2*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3916 or 5?\nAnswer: -3916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18 and 2070.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 200 by -1.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 + 2 + -3 + 14518 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2350*v + 6002 = -10448 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 654537557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1345 is divided by 157.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 42 + -28 + -5 + (1 - 2 - 25).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*t**5 + 83*t**4 - 43*t**3 - 71*t**2 + 64*t - 12 = 0 for t.\nAnswer: -1, 2\/7, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -6815, -6817, -6819, -6821?\n\"Answer: -2*p - 6813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 125*d**2 - 55*d + 55. Let b(k) be the second derivative of 22*k + 2\/3*k**3 + 0 - 2*k**2 - 3\/4*k**4. Give 55*b(o) + 4*r(o).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a millennium in centuries?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 6, -0.24, -0.02, 3, -0.2, 114?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 12094915 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/10 + 323\/5. Suppose 7 + 11 = 3*g - l, -g = -2*l - 6. Suppose m = g*m - i. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1202*v - 4446 = -1242*v + 2405*v. Sort 1, -7, -1, v, -2.\nAnswer: -7, -2, -1, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0 and 2699581.4?\nAnswer: 2699581.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 6068, 23172, 51310, 90482, 140688, 201928?\n\"Answer: 5517*h**2 + 553*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6901366?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 46047 + -68157. Suppose -3*p = 4*a - 50, p + 2*a = -11 + 31. Is (j\/25)\/(-6) + (-4)\/p a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.57?  (a) -3\/874  (b) -0.5  (c) 0  (d) 297\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 31 by 4670580.\nAnswer: 31\/4670580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/30130 and -67\/3128.\nAnswer: 2048840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 12*b + 10*b + 27*b + 1. Let s(u) = -u**3 + 5*u**2 - 5*u + 5. Let j be s(4). Is k(j) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -15 + 39*k - k**3 - 82*k + 17*k**2 + 40*k. Let b be x(17). Let a = -37 - b. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oooeexoe. Give prob of picking 1 o, 1 x, and 1 e.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 5*y - 22955 = 0, 11795 = -5*z + 3*y - 11152. Let t be (4 - 0) + z\/(-3). Suppose 1706 = -3*l - t. Round l to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10160*x**2 - 14*x + 63*x - 27*x - 22*x - 9738*x**2.\nAnswer: 422*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -1559*n**3 - 21*n**2 + 285*n - 4. Let t(h) = h**3 + 5*h**2 + h + 1. Let v(z) = -r(z) - 4*t(z). Find the third derivative of v(g) wrt g.\nAnswer: 9330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -3, -82, -239, -474, -787?\n\"Answer: -39*l**2 + 38*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -2*l - y + 13, -y = -2*l + 1. Suppose l*v - 126 = -v. What is the highest common divisor of 21 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 33129753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -4*l + 22 - l**3 - 15 + 5*l**2 + 9*l. Let s be w(6). Let t(f) = -f - 1. Let h be t(0). Is h less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 - -7. What is the derivative of -26*g**r + 36*g**2 - 8 - 1 wrt g?\nAnswer: 20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 119*f**3 - 52*f**2 + 59*f + 1. Is r(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the third derivative of -h**5\/12 + 55*h**4\/24 - 15*h**3 - 73*h**2 + 1. Let x(l) = 0. What is l?\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 342749\/27 - 12693. Let z be (458\/297)\/(4\/3). Let p = 1\/22 - z. Find the common denominator of p and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 53*a*l*m + 7*a*l + 70586*a*m + 262*a + 2*l*m + 3408*l wrt l.\nAnswer: 53*a*m + 7*a + 2*m + 3408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 2*h**2 + 6*h + 4. Suppose 1 = -w + 5. Suppose -w*m = -7*m - 12. What is the tens digit of j(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 - -6. Let a be 1*(4 - (12 + h)). Let d(o) = -o**3 - 5*o**2 - 9*o - 7. Is d(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 28, 641, -1.\nAnswer: -6, -1, 28, 641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 2*n**2 - n - 17. Let x be m(9). Calculate the greatest common factor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 109728 and 18288.\nAnswer: 109728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-47)\/((-10152)\/305808) + 11\/9 + -1. Which is the nearest to 2\/7?  (a) -0.5  (b) -5  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 - (36 - (-11 - -18))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 750 (base 8) in base 9?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/4)\/(5\/20).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the second derivative of -15*f**8\/56 + 5*f**4\/6 - 10*f. Find the third derivative of t(m) wrt m.\nAnswer: -1800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 4\/7  (b) 9  (c) -1\/3  (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -555537 - -1.1?\nAnswer: -555535.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -3*l + 43. Let v(q) = -2*q**2. Calculate v(p(y)).\nAnswer: -18*y**2 + 516*y - 3698","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1328346 = -16*p + 10*p - 21*p. What are the prime factors of p?\nAnswer: 2, 17, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, 0.2, 3\/5 in increasing order.\nAnswer: -34, 0.2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (6 + -4 + 3)*3. Let v be -249*(-5)\/a - 3. Suppose -21*b + v = -20*b. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 211659.44?\nAnswer: 211657.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 228592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 48735 and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 12, 52, 112, 192, 292, 412?\n\"Answer: 10*a**2 + 10*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**(-1\/31))\/(h**(-15)*h)*((h**(-8)*h*h*h*h*h)\/h)**32 assuming h is positive.\nAnswer: h**(-3502\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p - 4*c + 282 + 1549, 3*p = 2*c + 1825. Let q = p - 1575. List the prime factors of q\/(-27) - (-10)\/45.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = -2*a - 3*f - 4, -5*a + 2*f = -28. Suppose 2*j + 14 = a*j + 2*q, 4*j = -5*q + 31. Suppose 2*k = j*x + 2, -x = 7*k - 4*k - 17. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -35*a**2 + 2*a. Let c(o) = -12*o**2. Determine r(c(z)).\nAnswer: -5040*z**4 - 24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-2)*p*p*p**(3\/7)*(p**(-1))**(4\/5) assuming p is positive.\nAnswer: p**(-13\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.3 - 0.2. Let d = 0.7 + -0.5. Which is smaller: d or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*f**4*o + 2*f**3*o**2 + 21563*f**3 - 3*f**2*o**2 - 17663*o**2 wrt f?\nAnswer: -72*f*o + 12*o**2 + 129378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**3 + 22*a**2 - 97*a - 74. Determine k(15).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2213231223130 + -3?\nAnswer: -2213231223133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 7\/2*(64\/28 - 0). Suppose 0 = 11*u - 10*u - 4*n - 21, 0 = 3*u - n - j. Which is smaller: u or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in -2\/5, 1\/3, -27, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 4*j = -7*w + 11696, 3*w - 8751 = -4*j. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000004817768 rounded to 7 decimal places?\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 + 1.2. Which is the nearest to 1?  (a) 2\/11  (b) v  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 484273.\nAnswer: 163, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 17073785 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3\/(-4))\/((-27)\/144). Suppose 0 = 3*k - 0*k - 3*z - 21, -4 = 2*k + c*z. Solve 10*m - k = 6*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 5*o**2 - 3. Let y(n) = -10*n - 93. Let r be y(-9). Let k(p) = 11*p**2 - 5. Determine r*k(h) + 5*b(h).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 2538966*a + 2044054*a + 319217*a - 240 + 437715*a. Let s be n(-5). What is s rounded to the nearest one million?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.52907+22\nAnswer: 22.52907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes after 10:02 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 3*j = 2. Let i(f) = 1283*f + 7. Let l(v) = -350*v - 2. Let s(q) = 3*i(q) + 11*l(q). Let y(d) = 8*d + 7. What is j*y(k) - 6*s(k)?\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 6084016 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 2*i**3\/15 - 782*i**2\/5 + 9358*i\/15 - 2338\/5 = 0?\nAnswer: 1, 3, 1169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3340, -14227, -32370, -57769, -90424, -130335?\nAnswer: -177502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 3*d - 4. Let i(x) = -17. Let j(g) = -4. Let l(m) = i(m) - 4*j(m). Determine -2*l(c) + w(c).\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 260 and 3244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b + 6 = -b. Let o(a) be the third derivative of -5*a**4\/6 - a**3 + 3491*a**2. Let y(w) = 7*w + 2. Give b*o(v) - 17*y(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the first derivative of -1\/4*y**4 + 7\/2*y**2 - 4\/3*y**3 - 14 + 5*y. Let w be f(-6). What is the greatest common factor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -8*h + 55. Solve 2*v + 3*k + h = -0*v, 2*k = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 146191577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 + 13 + 0 - 6*h + 2.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 - 7. Let j be -6 - 1*516\/(-72). Let k = -53.6 - -53.8. Which is the closest to r?  (a) k  (b) 1\/4  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:20 PM and 2:23 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + b - 5 = 2*v, 0 = 2*b + 2. Suppose 2*p - 15 + v = 3*y, -p + y = -5. Which is smaller: p or 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.05 times -188\nAnswer: 9.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/((-8)\/20) + 4)*-2. Solve -z*u - 2 = -10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((3*sqrt(99) - sqrt(99))*-4 + (sqrt(99) - -2*sqrt(99)*1))\/(1*(sqrt(225) - 2*sqrt(225)*1)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 11809*g + 5609271. Determine o(-475).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-22))**(-6\/13)\/(n**(-2\/7))**23 assuming n is positive.\nAnswer: n**(1522\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-18)\/30 - 36\/(-10). Factor 5*j**5 - 20 - 84*j**2 - 60*j + 66*j**2 - 5*j**b - 37*j**2 + 15*j**4.\nAnswer: 5*(j - 2)*(j + 1)**3*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (6*(sqrt(1700) + -1 + -4 - sqrt(1700)))**2.\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the first derivative of -5*n**3 - 14*n - 15. Differentiate w(t) with respect to t.\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -103*p + 110*p - 1848 = 0. Suppose 6*b - p = -3*f + 3*b, -176 = -2*f + 2*b. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 22 = 42. Let t be (-1*2 - -2)\/(-1). Suppose -u = -t*a - a. What is the remainder when 46 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.5?  (a) -5  (b) -0.03  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (8 - 3) + 0 - (-4 + 3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-8)\/10)\/((-2)\/5). Let g(a) = 3*a + o*a - a - 7 + a**2. Let r = -9 + 4. Give g(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (132\/792)\/(2\/(1*4))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/6 + (-10)\/(-3). Let z(c) = 3*c - 16. Let t be z(7). Suppose -15 = t*h - 5*v, -10 = 5*h - 4*v - 0*v. Solve j*r = -2 - h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.08 in 2, -1, 1\/5, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(1 + sqrt(2))*-6 + (sqrt(80) + sqrt(80) + (sqrt(80) - (sqrt(80) + (sqrt(80)*1 - sqrt(80)) - sqrt(80))))\/sqrt(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -7*b. Let f(j) = 15*j - 10. Let i(r) = 16*r - 9. Let n(u) = 3*f(u) - 2*i(u). Let x(m) = 168*m - 154. Let p(v) = -77*n(v) + 6*x(v). Calculate p(d(h)).\nAnswer: -49*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 284 is divided by 222.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17974787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the second derivative of v**7\/3 + 7*v**3\/6 - 10*v. Find the second derivative of a(k) wrt k.\nAnswer: 280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -44, -1097, -2844, -5279, -8396?\nAnswer: -12189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b79 + -3?\nAnswer: b76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xg when two letters picked without replacement from xxxggxxxx?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13042*q**3 + 11*q**2 + q**2 - 6*q**2 - 6*q**2.\nAnswer: 13042*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 129 by 3.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/6 + (-412)\/(-12). Suppose 0 = 5*s - k - 20. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -174*u + 714*u - 176*u - 180*u - 178*u. Let r(v) = -2*v**2 + 25*v. What is r(a(n))?\nAnswer: -72*n**2 + 150*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 684*v + 101. Let o(z) = -2734*z - 410. Let b(h) = -9*g(h) - 2*o(h). What is the first derivative of b(p) wrt p?\nAnswer: -688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**2 + 3*v + 27. What is c(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.3  (b) 2\/77  (c) -3\/4  (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 25082 in -1\/4, 3, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 8200706386?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*h + 36 = 13*h - 2*b, 0 = 4*h + 5*b - 42. Solve 0 = -4*n - h, 4*p - n = n - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.066 or -3724035?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -5*d**3 + 4*d + 5. Let o be z(-3). What is o rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/s**(-18)*s\/(s*s**(-1\/2)) assuming s is positive.\nAnswer: s**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes after 10:18 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 1 + -1 + -1 - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-26)\/8 + (-51)\/68. Suppose -135 = 9*b - 162. Sort i, -1, b, -3.\nAnswer: i, -3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -34*b + 48*b - 3248. Let h(j) = -692*j + 232*j + 233*j - 2 + b*j. Suppose -2*z = 3*z - 20. Let m(x) = -x + 1. Give z*m(v) + h(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10646845 to the nearest integer?\nAnswer: 3263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 2000515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**3 + 9*t**2 + 7*t - 12. What is g(10)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s + 11. Let l be 2*(-18)\/(-8)*(8 - 10). What are the prime factors of y(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -9, -31, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.16 - -76.808\nAnswer: 76.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 10906 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: What is the highest common factor of 12393 and 5377185?\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, v: 1, l: 2}. What is prob of sequence vvhh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 3*c**2. Let w(o) be the second derivative of -5*o**4\/12 + 36*o**2 + 99*o. Let u(s) be the first derivative of w(s). Give u(a(j)).\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -356*c**2 + 1808*c - 140 = 0.\nAnswer: 7\/89, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 49361*d*h**2*w - d*w + 2*d - 2*h**2*w + 176087*w with respect to d.\nAnswer: 49361*h**2*w - w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -60+-38430521\nAnswer: -38430581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 + -3. Suppose 2*s + 0*d + t = 2*d, -d = 4*s - 11. Differentiate -s*i - 5 + 0*i + 3 wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -2*h**2 - 73*h - 78. Give l(-36).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -2*f**2 + 4. Let t = 43 - 46. Calculate p(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 109*l + 418. What is the tens digit of m(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d + 1 + 2. Let q be -1 + -1 + d*-25. Let u = -46 - q. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-308)\/(-1386)*3366\/176\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 43 - ((5 - (10 + 5)) + -4).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = 4*t + t. What is the highest common factor of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-39231)\/(-122052))\/(6\/128)\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 635, 573, 483, 365, 219?\n\"Answer: -14*u**2 - 20*u + 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -17.209?  (a) -1  (b) -2  (c) -0.1  (d) -4  (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2.8 from -0.282.\nAnswer: -3.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29637, -59272, -88907?\nAnswer: -118542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 57751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 356 = 5*k, -17*k - z = -22*k + 348. Calculate the remainder when 555 + (5 - 2) + -1 is divided by k.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4220.9 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -36 - -35. Let v be 3 + (-1)\/1*m. Suppose -v*u - 5*u + 1953 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001041286 to 5 decimal places.\nAnswer: -0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 42497, 85004, 127511, 170018, 212525?\n\"Answer: 42507*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -59858 divided by 1\nAnswer: -59858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/311779108 and 13\/3437?\nAnswer: 2182453756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes after 12:41 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*j**5 + 21*j**4 - j**2 - 40?\nAnswer: -180*j**2 + 504*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1186 = 416*o + 81*o + 401*o + 14978 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.7?  (a) 1  (b) 1.41  (c) -1\/25  (d) 4  (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 0, 5, 0.113 in ascending order.\nAnswer: -1\/3, 0, 0.113, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*w**3 + 2*w**3 - 2*w**3 + (-w**3 - 2*w**2 + 2*w**2)*(3 - 3 - 1) - 11*w**3 + 23 - 23.\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + -4 + -2 + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1.29, 0.04, -0.073 in ascending order.\nAnswer: -4, -1.29, -0.073, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9225\/91 or 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1736.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 50610 and 422563134.\nAnswer: 10122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**3 - 3*d**2 + d + 3. Suppose -4*g + 28 = -4*o - 0, 3*o + 7 = -4*g. Let l(h) = -8 + 2*h + 3*h - 6*h. Let b be l(o). Determine k(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3530 + 3986. What is the highest common factor of f and 532?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -11 + 2160500?\nAnswer: 2160456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (1 + (4*sqrt(272))**2)*2 + (sqrt(272) - (4 + (4*sqrt(272))**2) - 4*sqrt(272)*5).\nAnswer: -76*sqrt(17) + 4347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 < 137\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 363 divide 1666048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 2:05 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 6792 - 25?\nAnswer: 676c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m = -0*m - 42. Solve 5*j + m = -8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a - 72. Let n(f) = -2*f - 180. What is -5*n(l) + 12*w(l)?\nAnswer: -2*l + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**2 + 8*q + 8. Let z be d(-6). Let v be 3 - 5 - (-2 - 5). Put z, v, -5 in decreasing order.\nAnswer: v, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 5*o + 2 = -18, 32 = -4*v + 4*o. Let q = 8 + v. Let u(z) = 1 - 2 + z**q + 6*z**2 - 5*z**2 + 3 - 3*z. Determine u(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 1014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 11 - -1445?\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2090747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -524227*o**2 + 830*o - 1096535734?\nAnswer: -1048454*o + 830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41828 = 24*m - 41948. Let n = -3 - 0. Sort n, 3\/7, 0.3, m in decreasing order.\nAnswer: m, 3\/7, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*l - 975 = 7185. Suppose 115*x = 105*x + l. Let z = 34 + -19. What is the lowest common multiple of z and x?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -46 - -49. Let q be 5 - (5\/(-10))\/(o\/(-18)). Suppose 2*n - 21 = -s + 5*n, -5*s + 66 = -q*n. Which is the nearest to -0.2?  (a) -2\/5  (b) 2  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(2\/9))**(-20))**(-48) assuming h is positive.\nAnswer: h**(640\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the third derivative of 5*s**4\/24 - 7*s**3\/3 - 35*s**2. Let y be z(5). Let m(w) = 3*w**2 + 8 - 5*w - 3*w**2 - w**3 + 4*w**2 - y*w**2. Give m(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 102, 113, 124?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -108 + 233. Let d = 121 - g. Let n(q) = -3*q**3 - 4*q**2 - 4*q. Let b(o) = 9*o + 3 + 7*o**3 + 9*o**2 - 3. Calculate d*b(f) - 9*n(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(176)*1 + -4 - ((-6*(sqrt(176) + 2) - sqrt(176)) + (sqrt(176) - (sqrt(176) - (sqrt(176) + -2 + -1)))))**2.\nAnswer: 88*sqrt(11) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2033568 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(1\/7)\/g**7)**20 assuming g is positive.\nAnswer: g**(-960\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 264837 = 4*i - 264908, -i + 26 = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*m + 34*m - 5*m.\nAnswer: 37*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the third derivative of 3*d**2 + 0 - 1\/735*d**7 + 0*d - 1\/84*d**4 + 0*d**3 + 1\/210*d**5 + 1\/420*d**6. Factor w(f).\nAnswer: -2*f*(f - 1)**2*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes before 5:47 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 14c4c51 + -4?\nAnswer: 14c4c4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 2, 1, -79, 5 in decreasing order.\nAnswer: 5, 2, 1, -1, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -2*n**3 + 36*n**2 - 111*n - 145. Calculate v(15).\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 25 = 6*c. Let t(k) = -3 + 2*k**2 + 0*k - k + c + k**3. What are the prime factors of t(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2415774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -21*f + 18 + 24 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7 and -226165?\nAnswer: -1583155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -645*a**2 + 725*a**2 + 1190*a**2 + 321*a**2 - 150*a**2.\nAnswer: 1441*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.49  (b) -8\/7  (c) 0.4  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7984179 is divided by 42469.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b - 4*j = -8, 3*b = -4*j + 3 + 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 265302 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 88, 160, 232, 304?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*o + 16*o + 72 = 4*i, -90 = -5*i + 2*o for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 193511, 504, 1 in descending order.\nAnswer: 193511, 504, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -o**3 + o - o + (18*o - 4*o - 8*o)*(o**2 + 4*o**2 - 4*o**2) - 4*o - 7*o**3 - 7*o**3 + 13*o**3 in the form k*o**2 + v + s*o + h*o**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -674 - -676. Put 4, -2, n, -1 in ascending order.\nAnswer: -2, -1, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - 4838 = -m + 532. Is m a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.770898 rounded to 2 decimal places?\nAnswer: 8.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 61082029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -5*c - 2. Let m(f) = -16*f - 5. Determine -2*m(a) + 7*z(a).\nAnswer: -3*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 24, 15, -1, -4 in ascending order.\nAnswer: -4, -1, 0, 15, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.08, 6, 4, 7\/4, -3 in increasing order.\nAnswer: -3, -0.08, 7\/4, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -4756300 rounded to the nearest one hundred thousand?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**3 + 5*u**2 + 3*u + 2. Suppose 3*p = -4*g - 19, -3*g - 3*p - 7 = -2*g. Is 6 a factor of v(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 + (-78)\/(-82) - 26715\/28085. Let l = 0 - -11. Sort v, l, -5 in decreasing order.\nAnswer: l, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + 2254 - 2241 = 6*r - 3*r, 0 = -5*r - 4*i + 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -56\/1063513 and -1\/7194.\nAnswer: 6381078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the third derivative of -v**5\/60 + 5*v**4\/24 - v**3 - 235*v**2. Calculate a(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 513*d**2 + 76146*d = 0. What is d?\nAnswer: -25382\/171, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -50*v - 16*v + 2122*v as s + q*v and give q.\nAnswer: 2056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -84 + 82. Sort 3, -3, 0, t in ascending order.\nAnswer: -3, t, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 16  (b) -0.3  (c) 0  (d) 0.0909\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62918*t + 68576*t + 907274*t.\nAnswer: 912932*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 53 + -17. Let x = c - 9. Suppose -x*q + 200 = -22*q. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -17*d**2 - 11*d**2 + 27*d**2. Let a(l) = -4*l + 2*l - 2*l. What is a(w(h))?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, 1, -4, -1, 5 in increasing order.\nAnswer: -4, -1, 1, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -2111022110 (base 3) in base 12?\nAnswer: -24493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*m**4 + 32*m**3 + 48*m**2.\nAnswer: 4*m**2*(m + 2)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 19735*y**3 - 2*y**2 + 25*y - 19?\nAnswer: 118410*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_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: What is -29 plus -0.5?\nAnswer: -29.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1610146 * 0.1\nAnswer: -161014.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -3*l + 210, 2*l - 4*i - 184 = -44. Suppose 75*g - 40 = l*g. What is the remainder when g is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -502 in -637, 3, -3\/7?\nAnswer: -637","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - 30 = 23*v, 40551*v - 3*m = 40547*v - 155 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 16477834*r*s**5 - r - 8996374*s wrt s.\nAnswer: 329556680*r*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t\/(t*t**15\/t)))\/(t\/t**(-3\/5)))\/(t**(-4))**(-1\/12) assuming t is positive.\nAnswer: t**(196\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -52 - (-3)\/(-3)*-1. Let r = 74 + z. Suppose -5 = -l, 0 = -3*q - 5*l - r + 126. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let t be (-7)\/(-28) - (-1)\/(8\/566). Let h = t - 64. Suppose -4 = -h*v + 6*v. Solve -q + 6 = 2*p, 12 = v*p - 2*q + 5*q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*6\/(-4) + (-420)\/(-147).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**2 - 6*d - 5. Calculate y(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5854 * 6804.\nAnswer: -39830616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 806543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 79\/((-1422)\/(-27))*26\/(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/18 - (-943208)\/(-24). What is s rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30573304417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 837 - 354. Does 21 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 185022778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 2*x - 932 + 2369 = 0, -2*c = -5*x - 958. What is the remainder when c is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -6*g + 70. Let l = 9427 + -9425. What is the greatest common factor of l and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1.1  (b) -2\/11  (c) 1\/8  (d) -1\/3  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -146*m + 1706851 = 512863. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-2)\/(-1))\/(0 + -2). Let z be (1\/2)\/((-2)\/(-4)). Is 11 a factor of z*(-41 + 0)*r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -526 + 521. Which is the third smallest value?  (a) 0  (b) 3\/2  (c) 1\/2  (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3\/14 - 1\/28. Let j = 10 + -11. Let g(d) = -d**2 + d + 2. Let u be g(-2). Which is the third biggest value?  (a) j  (b) r  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10586 and 6901?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -7*x + 6*x + 15615, -15620 = -x - 5*y. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((1*sqrt(68) + -3)**2 - sqrt(68)) - (2 + 2*sqrt(68) + (1*sqrt(68)*-1)**2).\nAnswer: -147 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*h + 0 + 0)*(60*h**2 - 5838*h + 5838*h) as y*h + j + k*h**2 + p*h**3 and give p.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7272 is divided by 154.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*d**4 - 18100*d**3 - 52015*d**2 + 7800*d = 0 for d.\nAnswer: -3, 0, 1\/7, 520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -144*u**4 - 10*u**2 + 7*u.\nAnswer: -3456*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 699211837 - 699211767.99999728. Let c = 102 + -171. Let i = t + c. Round i to 7 decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(57)\/sqrt(3)*-5 + 4 - -2*sqrt(76)*2) + -5 + -2 + -3.\nAnswer: -3 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**2 - g - 1. Let k(c) = -3*c**2 - 26*c + 92. Let b(n) = -k(n) + 4*p(n). Let z be b(13). Solve 0 = -4*l - f - 23, 5*f + z = -l + 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -6275*z**2 - 535*z. Let j(l) = -7*l**2. What is w(j(n))?\nAnswer: -307475*n**4 + 3745*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -51220405103 + 2?\nAnswer: -51220405101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -192464700 rounded to the nearest 100000?\nAnswer: -192500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 8680672619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 2*x**2 + 64542*x. Let v(y) = -2*y. What is v(w(o))?\nAnswer: -4*o**2 - 129084*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 215208 and 13908?\nAnswer: 4088952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**3 + 12*k**2 - 11*k + 2. Let q be j(11). Let o(m) = 11*m. Calculate the least common multiple of 12 and o(q).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**2\/3 + 101*u - 152\/3.\nAnswer: (u + 152)*(2*u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3785.\nAnswer: 5, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 1\/126  (b) 2  (c) -1\/2  (d) 5  (e) 1\/132\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1674475.2 seconds in days?\nAnswer: 19.3805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3350260381 a multiple of 5621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:12 AM and 10:08 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -33586 at least -39160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 21.9 + -11.5. Let g = 10.39999784 - f. Round g to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*v**5 + 3*v**4 + 6*v**2?\nAnswer: -480*v**2 + 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 183*m - 200 - 349 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z + 2*z + z)*(-4*z + 2*z + 0*z) + 0*z**2 + 0*z**2 + z**2 + 0*z**2 + 0*z**2 - 2*z**2 - 67*z**2 - 102*z**2 + 100*z**2.\nAnswer: -74*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*i + 4*i + 1316*i**2 - 8*i - 3*i - 6889*i**2 + 5.\nAnswer: -5573*i**2 - i + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*u - u + 2*u)*(-u - 3*u - 2*u)*(3 - 8*u**2 - 3) to v*u + k*u**2 + p*u**4 + c*u**3 + i and give p.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 248, 981, 2206, 3923, 6132?\n\"Answer: 246*a**2 - 5*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 26*a - 25*a. What is the remainder when 188 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1140.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2943079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2*(-5)\/(-2) + 5 + 97. Let h(c) = -v*c - 92*c + 180*c. Let m(y) = -y**2. Calculate m(h(b)).\nAnswer: -81*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 143 and 117?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve p = -5*x + 5, -5*p + p + 1 = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is be9cd + 2?\nAnswer: be9cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from {b: 1, f: 3, d: 2, e: 3, o: 4, r: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 201414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:57 AM and 4:37 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -2*d**2 + 5*d + 4. Let v = 2 - 0. Let l be -3 + (1 - v) + 2. Let n(r) = -r**2 + 2*r + 2. Let u be (10\/4*-4)\/(-11 - -9). What is l*i(h) + u*n(h)?\nAnswer: -h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1668 and 21.\nAnswer: 11676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 392261 minus -2?\nAnswer: 392263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2612 divided by -653\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 4*s**3 + 4*s + 2. Calculate o(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 262*h**6 - 9*h**4 - h**3 - 110*h**2 + 40 wrt h?\nAnswer: 31440*h**3 - 216*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64*p = -7*p - 355 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**(-17\/4))\/h*h**(-3\/13)*h**(-10)\/h**26 assuming h is positive.\nAnswer: h**(-1663\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 2 x when three letters picked without replacement from {o: 1, x: 5, s: 2, q: 1}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (860*s - 1798*s + 898*s)*(0 + 5 - 2) + 2*s - 3 + 3 + 1.\nAnswer: -118*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*z**3 + 2 + 34*z - 148*z - 44*z.\nAnswer: 9*z**3 - 158*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -31 (base 9) to base 14\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 7655, 29332, 65029, 114746?\n\"Answer: 7010*y**2 + 647*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 13*x**2 + 22*x - 122. What is the hundreds digit of y(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2072 is divided by 341?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 45.06 + -45. Let j = a + 0.14. Suppose 3*d = -5*s - 3, 2*d - 11 = 3*s - 2*s. Which is bigger: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4423*z + 122938 + 107058 = 0 for z.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**3 - 52*o**2 - 165*o.\nAnswer: o*(o - 55)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -3*n**2 + 62*n - 50. Let h be u(20). Sort -2, -1, h, 5, -3 in ascending order.\nAnswer: h, -3, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k - 2*k - 2*r = 642, 642 = -2*k - r. Let y = -331 - k. Put 10, y, 3 in decreasing order.\nAnswer: 10, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 5*a**2 - 34*a + 24. Let m be p(6). Suppose 18*q - 20*q + 1312 = m. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 15818\/64*(-3 + 21\/3). Let v = d + -987. Find the common denominator of 79\/6 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1130683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -6*(3 + 33\/(-9)). Suppose -4*u - 8 = 2*m, 0 = u - h*m - 1 + 3. Let x = -3.8 - -4. Which is the closest to 0.1?  (a) x  (b) 1  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -169\/3418632 and -26\/627?\nAnswer: 37604952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 772 is divided by 281?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 674814117 and 219.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 a, and 1 w when three letters picked without replacement from plslcclaswwlas.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 651425 is divided by 639?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uznufumufz. What is prob of picking 2 f and 2 z?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6549*q = -4960*q + 69916 for q.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-4))\/((-12)\/(-24)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 74102 and 1457652.\nAnswer: 115154508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-2 + sqrt(13) + sqrt(13) - sqrt(13)) + (sqrt(91)*1)\/sqrt(7) + (((sqrt(26) + sqrt(78)\/sqrt(3))*2)\/(sqrt(242)*-2))**2.\nAnswer: 294\/121 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -21*x**3 - 24*x**2 - 8*x + 1. Calculate b(-2).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**2 - o + 16. Let w = -7 - -7. Let p be u(w). Suppose 0 = -5*a + a + p. Let s(t) = t**3 - 3*t**2 - 3*t - 2. Give s(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yn when two letters picked without replacement from ncnny?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * 1424.\nAnswer: -142.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -4*z + 44. Suppose 0 = -f + 16*y - 4, -27*y + 22*y + 41 = 3*f. Give w(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 81528, 81527, 81526, 81525, 81524?\n\"Answer: -o + 81529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12104648 a multiple of 844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -33479804*s**4 - 28084041*s**2.\nAnswer: -803515296*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.913 * -0.3.\nAnswer: 0.2739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 9.182341 millimeters?\nAnswer: 0.000009182341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 38107099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h + 2*h + 216 = 0. Suppose -h = 3*a - 5*a. Let d(n) = 5*n**2 + 11*n - 44. What is the remainder when d(4) is divided by a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, u: 1, n: 2, r: 1}. Give prob of picking 1 r and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1371\/7 - -196. Which is the closest to 1?  (a) 5  (b) z  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -170450 (base 11) in base 8?\nAnswer: -1003615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 2*f + 15 = -4, 2*p - 48 = -f. Let g be (-2 - p)*-10840*2. Round g to the nearest 10000.\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 311128557 to the power of 1\/3, to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 - 9*z**2 + 9. Let a(o) = 2*o**2 - 2. Let b be 57\/(-21) + 3 + (-122)\/(-14). Give b*a(p) + 2*m(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1346263 by 13879.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 957395 and 1971.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.0301?  (a) -2  (b) -0.4  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -387 (base 9) to base 16.\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1261*q**5 - 13*q**3 - 11*q**2 + 46875506*q?\nAnswer: -25220*q**3 - 78*q - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -3*x + 5*q + 25, 2*q + 5 = x. Solve 1 = x*w - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -2*j + 5*v, -2*j - 7*v + 2*v + 23 = 0. Sort 3, j, -1, 6.\nAnswer: -1, 3, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -2  (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-4)\/(-10))\/((-47)\/(11338045\/964938) + 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 414  (b) 5  (c) 0.3  (d) -0.02  (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -512*b - 62. Is m(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 658\/(-60) + (3638 - 3627).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12 - 164*f - 9 - 3 in the form s + m*f and give m.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.13 - 0.56. Let g = -0.57 + p. Which is the closest to 0.1?  (a) g  (b) 0.2  (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 54577 or 54578?\nAnswer: 54577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 13) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 112735*f - 112844*f + 1232 + 839 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -346\/3?  (a) -2  (b) -0.4  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -39 - -53. Solve j = -s - 4*r, 4*s - 4*r - 2 = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes after 12:24 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48 + -84 + 87 - 46.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*b*o**2*z + b*o**2 + 2*b*o*z + 2*b*z - 158*o**2*z - 7*o*z + 4*o + 4 wrt o?\nAnswer: -16*b*z + 2*b - 316*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 50637*r**5 + 3*r**3 + 3*r - 7347 wrt r?\nAnswer: 1012740*r**3 + 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 353.45 + -4.45. Let u = 348.92 - d. Which is the smallest value?  (a) -3  (b) 2\/21  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:30 PM and 8:09 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 - 74 = -24*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 45, 47, 39, 15, -31, -105, -213, -361?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17764070.\nAnswer: 2, 5, 37, 41, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 29 and 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let 8*p**5 + 118*p**4 + 226*p**3 - 448*p**2 + 96*p = 0. What is p?\nAnswer: -12, -4, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (1 - 9516\/(-28)) + 1\/7?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*l**2 - l**2 + l**2)*(-1154 - 339 + 32 - 586) in the form s + d*l + c*l**2 and give c.\nAnswer: -4094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 200402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, 102, 5, 17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3906 + -1857. Suppose -8*j = -m + 137. Calculate the remainder when j is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**3 + y**2. Let v(g) = -5*g**3 + 23*g**2 - 6*g. Let m(n) = -9*n**3 + 42*n**2 - 11*n. Let j(s) = 6*m(s) - 11*v(s). Calculate -6*f(l) - 5*j(l).\nAnswer: l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + d)*(1 - 4 + 2) + (-6 + 1 + 3)*(0*d - d - d) + d + 2*d - 2*d + 0*d + 7*d + d to i*d + m and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 376 = 4*u + 2*f, 4*f = 3*u - 282. Let b be (-8)\/68 - 257\/(-17). Let v = u - b. Is v a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o + 4*x - 21, -5*x + 5 = 3*o - 0*x. Let a(b) = 6*b - 4. Let c be a(3). Let j = o + c. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2580247 (base 9) in base 7?\nAnswer: 14664115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -0.03  (b) -3  (c) 5  (d) 16032\/13  (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 302, 370, 438?\n\"Answer: 68*p + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 10 = -3*f. Suppose f*n = -4 + 22. Let q = 774 - 711. Calculate the greatest common divisor of n and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/10 in 0.2, -1\/3, -1\/2, 1\/59?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 284*l**2 - 700*l**2 + 418*l**2 + 1452*l to the form n + a*l**2 + k*l and give k.\nAnswer: 1452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*l + 13*l = -8*l + 37*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.9*-9474.\nAnswer: 8526.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 6*-1*3*(-1 + (-5*(sqrt(125) - (0 + sqrt(125)) - sqrt(125)) - sqrt(125)))**2 + -3.\nAnswer: -36019 + 720*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 5, e: 3, x: 4}. What is prob of sequence enxx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + k = 72. Suppose -120 = -4*x - x. Calculate the greatest common divisor of x and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 22 - 18. Suppose 0 = b*k + 9*k - 312. What is the lowest common multiple of k and 54?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sssossssoosoo. Give prob of picking 1 o and 1 s.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**3 + j**2 - 3*j + 2. Let n(s) = 2*s**2 - 5*s + 4. Let d be n(2). Calculate b(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in -0.082, 132, -5?\nAnswer: -0.082","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 + -0.026136\nAnswer: -0.326136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -27 + 26. Put -2, -3, f in decreasing order.\nAnswer: f, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4 - (-5)\/((-20)\/(-3928)). Let r = h + 3755. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 6*v**3 - 2*v**2 - 2*v + 3. Let h be 9\/4 + (-5)\/20. Is z(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -53730, -107563, -161396?\nAnswer: -215229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 2*z**2\/3 + 303888*z - 12763688\/3 = 0.\nAnswer: -455846, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1348921803 and 786.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8515*c - 935164 + 279509 = 0 for c.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-27)\/2 - (-3)\/2. Let z be (19\/(-57))\/(2\/a). Solve z*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36628.77 months in millennia?\nAnswer: 3.0523975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -121 - -53. Let a = 68.27 + b. Let m = -0.73 - a. What is the smallest value in -6, m, 4\/5, -0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.06789 - -0.02181. Is 1 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times 2.4\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -84*q - 56*q - 63*q - 82*q + 307*q.\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 + -6. Let d be s\/(-4) - 30\/56. What is the biggest value in -3, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 127*b. Let y(g) = -283*g. What is y(v(a))?\nAnswer: -35941*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 221 (base 6) to base 7.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 + 8 + -40 - (-7 + 0 + 0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -4*c**2 + 6*c. Calculate y(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2414?  (a) 4  (b) -4  (c) 1\/1191  (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1499 = -5*m + 2*q, 2*m - 1514 = -3*m - 3*q. List the prime factors of m.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1155 + 1972. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18.3 + -18. Suppose -4*s - 2*n = -7*s + 14, 4*n = 5*s - 26. Which is the second smallest value?  (a) i  (b) 4  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2368, 9459, 21280, 37831, 59112, 85123, 115864?\nAnswer: 151335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/((j*j**(2\/11)*j)\/j))**(-23))**(-6\/11) assuming j is positive.\nAnswer: j**(-276\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -2*w**2 + 25*w - 65. Let g be t(5). Suppose -o + 40 = 3*o. Calculate the greatest common factor of g and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 554781680?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.4486 - 0.3476. Round w to one dp.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 849*l + 256. Let r(z) = 849*z + 253. Let s(t) = -3*r(t) + 2*x(t). What is the derivative of s(c) wrt c?\nAnswer: -849","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 163930 and 8730?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -3*k - 14, 16*c = 13*c + 3*k + 12. Find the third derivative of 1 + 128*f**c - 1 - 93*f + 95*f - 17*f**2 + 17*f**5 wrt f.\nAnswer: 1020*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a + a + a)*(2 - 6 - 2) - a + 2*a - 3*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 - 93 = -4*u. Is 1\/u*3 - (-3768)\/10 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -6*((-78)\/(-4))\/(-13)*(-48)\/(-27)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 9*n + 85. Let t be h(-10). Let y(i) = -i**3 + 4*i**2 + 4*i + 2. Let g be y(5). Let z = 3 + g. Sort z, 3, t in decreasing order.\nAnswer: 3, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 67 - (238 + -230 + (3 + -6 - (-2 - -5))).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 2*n = p + 65, 4*p - 70 = -2*n. Suppose 5*y + 5*c = p, -4*c + 5 = -y - 2. Are y and 1 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -179 + 178.29. Let s = k + 0.21. Let u = 2.64 + 0.36. What is the nearest to 0.2 in u, -2\/17, s?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 25\/49 - 4\/49. Which is smaller: -2 or p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-1794)\/690 + (-116)\/(-10))*(-1)\/(-27). What is the second smallest value in 13, p, -1\/4, 17?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 55 + -2 + -1?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l. Let a(k) = 19*k + 3. Let w(s) = s + 1. Let j(h) = a(h) - 2*w(h). Let z(m) = -6*d(m) + j(m). What is z(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7111\/5 + 1421. What is the closest to 0 in -0.4, -1.1, l, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 + 211d5b?\nAnswer: 211d5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 plus 23571.5?\nAnswer: 23567.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 110, 138, 178, 224, 270?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the second derivative of -1 - 6*d**2 + 1\/10*d**5 - 7\/3*d**3 - d + 0*d**4. Factor s(c).\nAnswer: 2*(c - 3)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/44506971 or -1?\nAnswer: -2\/44506971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82*k = 81*k + 923. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*z**3 - 12*z**3 - 6*z**3 - 6*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 27\/5 of a kilogram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**2 - 93*h - 817. Let r be s(-82). Let o be 5\/(10\/172) - -1. Which is greater: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 860083 - 328752. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ryry when four letters picked without replacement from {y: 8, r: 3, t: 6, k: 1}?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**2. Let b = 6 - 1. Let p(s) = b*s + 7*s - 8*s. Determine p(x(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.15 * 0.7.\nAnswer: 0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from hxcpgxkc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4 + 4 + (-9 - 1). Let y = -138 - -142. Sort y, o, -55 in descending order.\nAnswer: y, o, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(405)*4 + sqrt(405) + sqrt(6480)*-2)**2.\nAnswer: 3645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 7 - (-481 - -458).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m + 5. Let x be c(2). Let u be (6 - 5)\/(x\/6). Solve -2*f + 4*w - 28 = 0, -u*f = 2*f - w + 21 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/3*n**3 - 56\/9*n**2 + 64\/9 + 56\/9*n.\nAnswer: 2*(n - 8)*(n - 2)*(3*n + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fakb when four letters picked without replacement from kffakkkbffabkkfkb.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 345969, 691941, 1037913?\n\"Answer: 345972*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the first derivative of m**2\/2 - 3*m + 1. Let g(u) = -3*u**2 + 138*u - 139. Let a be g(1). What is q(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**2. Let g(f) = 996*f. Give g(j(t)).\nAnswer: -996*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-2*z + z + 0*z)*(-4*z - 2*z + 7*z) + (-3 + 4 - 2)*(2*z**2 - 1 + 1))*(-6*z + z - 8*z) in the form v*z**3 + b*z + u*z**2 + w and give v.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*w + 4. Suppose 0 = w*r - r. Suppose -3*d - g - 11 = 0, r = 3*d + 4*g + 15 + 2. Is d bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -b9 + -1?\nAnswer: -ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.682909333 and 0.3?\nAnswer: 0.2048727999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -27*t - 1723. Let g be x(-64). Let j be -1 - -2 - 0 - -2. Solve 2 = g*a - o, -a + j*a = 5*o - 13 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2335939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*a**5 + 1 + 0 + 0*a**5 + (-2*a**3 + 2*a**3 + a**4)*(-25*a - 29*a - 10*a).\nAnswer: -68*a**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7181686*a**3*v*z**3 - a**3*z**3 + 3551287*a**3*z**2 + 3*a**3*z + v wrt z.\nAnswer: 43090116*a**3*v - 6*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1599.\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 121*s = 118*s - 17, 3 = -2*m - 5*s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ft when two letters picked without replacement from ffiffhihbtffffifftf?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*n - 10*n = 170 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes before 4:51 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and 73.48?\nAnswer: -293.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 20 or 19?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -9 + 1a?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 246406451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -4, -0.2, 12, -0.7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) -12  (c) 14.3186\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 236 - 14199124.28579.\nAnswer: -14198888.28579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l\/(l\/(l\/(l*l\/l**(-7))))))\/l*l\/(l\/l**(-1\/13)))\/((l*l\/(l**(7\/3)*l))\/((l\/(l*l*(l\/((l*l**(-2\/7))\/l)*l)\/l))\/l)) assuming l is positive.\nAnswer: l**(1630\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/15  (b) 1  (c) 338  (d) -11.2  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w + 9. Let h be y(-9). Suppose j - 3*j + 4 = h. Suppose 0 = 4*p, 5*g - j = 5*p + 18. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -1. Let i(k) = 2*k**2 + 2*k - 5. Let j(c) = c**3 - 6*c**2 + 5*c - 1. Let p be j(5). Determine p*i(o) + 2*u(o).\nAnswer: -2*o**2 - 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/2 - (-18)\/4. Suppose 0 = -22*k + 13*k + 99. Suppose f*a = -k + 203. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 613*h - 3850. What is b(7)?\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 3*r = -6*r + 84, -4*g = -4*r - 352. List the prime factors of g.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1552000 to the nearest ten thousand.\nAnswer: -1550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*k + k + 12, -4*k + 12 = -4*v - 2*k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (t + t + 0*t)*(2 + 2 - 5)*(-2*t**2 + 3*t - 3*t) to the form r + c*t + m*t**3 + g*t**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4, -276\/5, 1\/3, -0.1, -5\/4, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*w - 18 = -15*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 978.4 + -1115. What is p rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 13411480*a**3 + 7*a**2 - 3*a - 197006?\nAnswer: 80468880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -448, -209, 42, 305, 580, 867?\nAnswer: 1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -3*d**3 - 6*d**2 + 3*d - 2. Let w be s(-5). Suppose 0 = 5*p + w - 618. Calculate the remainder when p is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(147)*-5)**2 + (sqrt(3) + 2 + -1 + sqrt(3) - (sqrt(9) - sqrt(45)\/sqrt(5))\/sqrt(3))**2.\nAnswer: -7337 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -96 and 181.82.\nAnswer: -17454.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1969887092 to the power of 1\/2, to the nearest integer?\nAnswer: 44383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/798 and 49\/2546.\nAnswer: 53466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 220621 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - -6)\/(30\/(-6100)). Let y be v\/(-50) + (-6)\/(-10). Let y*x + 6*x**3 + 10*x**2 + 5*x**3 - 17*x**3 + 7*x**3 = 0. What is x?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z + 13. Let c be m(-26). Let k = -34 + c. Solve -k = -o - 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 836045353 a multiple of 8380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -19*n + 100. Let v be o(5). Is 14 a factor of v*(-3 - -2) + 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b + 24 + 19. Let n = b + 104. List the prime factors of n.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 13\/6  (b) 3\/46  (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 - 4*v**3 + 5 + (-13 + 7 - 16)*(-3 - v**3 + 3) + 0*v**3 + 6*v**3 - 4*v**3 to the form y*v**3 + j + l*v**2 + b*v and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 3, a: 3, t: 13}. Give prob of picking 2 a and 2 c.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**2 - 21*h + 5. Let k be x(-21). Solve 2 = -k*j + 22 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 180525 and 70550.\nAnswer: 6137850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4602868*a - 7513512.\nAnswer: 4602868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -17*z**3 + 7*z**2 + 2*z + 2. Let w be l(5). Let d = 993081\/568 + 13951\/71. Let m = w + d. Calculate the common denominator of -1\/12 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -172777941*d**2 + 988740940?\nAnswer: -345555882*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1235)\/(-39))\/19*(-24)\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 42475 by 3.\nAnswer: 42475\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 9431*f**2. Let u(q) = -8*q**2 + 145*q. Let c(a) = 13*a**2 - 232*a. Let d(x) = 5*c(x) + 8*u(x). Determine h(d(t)).\nAnswer: 9431*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:32 PM and 6:03 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 4*i**3 - 53*i**2 + 67*i - 716. Determine v(13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 22.0259 and -3.\nAnswer: -66.0777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 6 = -y - 6*a, 4*y - a = 45. Suppose -y - 1 = -f. Let s = f + 4. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-86226)\/12318*1*(-3)\/(-9)*27\/(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from phpjeozej. What is prob of sequence zo?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9302 is divided by 367.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 104295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 3*u**2 - 3*u - 4416. What is k(45)?\nAnswer: 1524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**3 + 12*t**2 + 10*t + 7. Let j be n(-11). Does 24 divide 4\/j - (-1938)\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 0, 16*r - 428665 = 11*r - 4*q. Let p = r + -120733. What is p rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1189650 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v - 7*v + 9 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -32*q**3 + 523344*q**2 + 785070*q + 294408 = 0.\nAnswer: -3\/4, 16356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 81a - -1?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 7, 0, -1, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - (-10 - 0)) + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**3 - 11*d**2 - d + 11. Let c be z(11). Suppose c*h + 15 = 3*h. What is the second derivative of -f**5 - 2*f + 0*f**h - f**5 wrt f?\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 26*n**2 + 65*n - 65. Let k(i) = -i**2 - i + 1. Give -65*k(d) - t(d).\nAnswer: 39*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 16*m - 7*m. Suppose 5*b + 5*w - 200 = 10*w, -65 = -2*b - m*w. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 1\/2, -2\/9, 0.24, 1\/4, -4.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 79.0947 tonnes to milligrams.\nAnswer: 79094700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -8, -4*x + 548*q - 551*q + 1188 = 0. Solve 325*w + 248 = x*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -121 (base 12) to base 2\nAnswer: -10101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12 and 42324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 divided by -28?\nAnswer: -17\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 6, 39, 122, 279, 534?\n\"Answer: 4*w**3 + w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 21 + 20. Let f = l + 1. Suppose n - f = -2*n. Calculate the remainder when 39 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2.3 in -0.2, -1\/2, 1, 1\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1203ca8 (base 13) to base 8.\nAnswer: 25216650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 475069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14 - 13.5. Let l = 0 - 0. Which is the nearest to l?  (a) 1  (b) z  (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 - 555079568\nAnswer: -555079568.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -5*-3.7137\nAnswer: 18.5685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**3 - 7*p**2 - 9*p + 11. Let g be l(8). Let w be g\/6 + (-75)\/(-2). Let n = -15 + w. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31095067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/(k\/(((k\/k**(-1))\/k)\/k)))\/k)**(7\/2)\/(k**6\/((k*k**(-2\/7)*k)\/k)))**(14\/3) assuming k is positive.\nAnswer: k**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -5*o - 7. Let d(j) = 81. Let w(x) = -41. Let y(f) = -d(f) - 2*w(f). Calculate -s(z) - y(z).\nAnswer: 5*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**2 - 2*f - 4. What is v(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002415 rounded to five dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the second derivative of 2*f + 1\/3*f**3 + 0*f**2 - 1\/12*f**4 + 0. What is d(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7119 - 4726. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*m**4 + 55*m**3 - 80*m - 24*m**2 + 39*m**2 - 8 - 4 - 8 = 0.\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 33 = -249. Suppose 5*d - n = 2*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6.6 + -7. Let x = -90 + 545\/6. Let y = -1\/2 + x. Put y, r, -0.01 in decreasing order.\nAnswer: y, -0.01, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76*b = 82*b + 31*b + 407 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n + 9 - 23. Let f = n - 4. Solve -r + 3*r = -f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.3 + -1.1. Let l be -5 + 1 + 1 + -1. What is the third biggest value in l, 0, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2161  (b) 797  (c) 0.4  (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -5*t**3 - 6*t**2 + 10. Let a(o) = -o**3 - o**2 + 1. Let f be (-84)\/(-35)*((-2)\/(-4) + 2). What is f*a(x) - l(x)?\nAnswer: -x**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**2 - 15*t + 51. Let c be u(-17). Suppose 7*r + c = 10. Which is smaller: 5\/11 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*x = 2564 + 197. Let r = -213 + x. What is the remainder when 264 is divided by r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = w + 20, -2*p + 4*p - 4*w = -4. Suppose -4*l = -2*q - 46, -5*l - 4*q + 35 = -2*q. Calculate the lowest common multiple of 1*(l - 42\/(-6)) and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 11*u**3 - 7*u**2 + 13*u - 59. Let f(k) = -5*k**3 + 4*k**2 - 7*k + 30. Let b(l) = -9*f(l) - 4*h(l). Is 46 a factor of b(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*3*(1 + (-1*sqrt(175)*-2 - (sqrt(175) + -4*(1*sqrt(175) + sqrt(175))))**2*6).\nAnswer: -255153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -327*c**4 - 1351*c**4 + 0*c**2 + 0*c**2 + (c**2 - 5*c**2 + 3*c**2)*(-c**2 + 0*c**2 + 0*c**2) in the form x*c**4 + u*c**2 + s*c**3 + t + v*c and give x.\nAnswer: -1677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-4 + sqrt(2352) + (sqrt(2352) - (sqrt(2352) + sqrt(2352) + -2*sqrt(2352)))**2 - sqrt(2352)).\nAnswer: 2346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is (7 - (-45)\/(-6))*-900 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*v**4 + 9*v**4 - v**4 + (v**3 + 3*v**3 - 3*v**3)*(172 - 172 + 3*v).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = 5*p - 3*l + 15, -5*p - 5 = -l. Suppose 30 = r + 5*a, 3*r - a - 15 - 27 = p. Solve r = d + 4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**3\/7 + 514*g**2\/7 - 35216*g\/7 + 276768\/7.\nAnswer: -2*(g - 124)**2*(g - 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 103861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*p**3 - 2*p**2 + 2*p**2)*(-6*p + 0*p + 2*p).\nAnswer: 20*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 45547331 to the nearest integer?\nAnswer: 6749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 521.\nAnswer: 2\/521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4\/21 - -22\/105. Which is the nearest to -1?  (a) t  (b) -1  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 8, w: 2, y: 3, a: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 44 - -2238?\nAnswer: 2281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19 + 19 - 5*p**3)*(627 - 307 - 166).\nAnswer: -770*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3399229361 to the power of 1\/2, to the nearest integer?\nAnswer: 58303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j**3 - 3*j**3 + 4*j**2 + 4*j**3)*(-4 + 5 + 0)*(-4 + 1 + 0) + (-2*j - 2*j + 3*j)*(4*j**2 + j**2 + j**2).\nAnswer: -12*j**3 - 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -4  (b) -2  (c) -5  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 56 + -52. Suppose a + 4 = 5. Let l be 5 + a + (-8)\/c. Solve 29 = 5*u + l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 2*s - s - 4*s. Suppose 0 = y + 2*y - 2*u - 11, 2*y = -5*u + 1. Let h(f) = -5*f - y*f + 9*f + 0*f. Give d(h(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - -2) + (88 - 83).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 386941669*g**5 + 11814394*g + 15.\nAnswer: 7738833380*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -227 + 243. Suppose 5*s = i*s - 22. Solve 0 = s*d - 2 + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 87 a factor of 163125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 3*v + 6 = 0, -4*v + v + 3 = -3*t. Let p be 7 - -2 - (t + -3). Which is smaller: 10 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-24*x**2 - 64*x**2 - 83*x**2)*(4*x - 3*x - 2*x).\nAnswer: 171*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200) - (sqrt(200) - (3 + sqrt(200)))**2 - sqrt(200)) + 1 + sqrt(8) + 5 - ((-3 + sqrt(162)*-3 + -5)**2 + 1).\nAnswer: -1526 - 430*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -71602352 - -71603335.03986. Let t = h + -1426.04165. Let q = t - -443. Round q to four dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/9450 and -13\/204?\nAnswer: 321300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 - (2 + -1))*(-7844)\/(-37). Suppose 5*k - 1100 = -5*r, 2*k - 3*r + m = 3*k. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 468\/712097 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 238*y = 453*y + 2580 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vrrr when four letters picked without replacement from {v: 6, r: 13}?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11629 is divided by 2315.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 113 - 63.8. Round g to the nearest integer.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 36 - -656?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 3*t**2. Let g(j) = 2*j + 1. Let p(f) = f + 1. Let o(d) = g(d) - p(d). Let b(c) = -68*c**2 - 170*c. Let x(q) = b(q) + 170*o(q). Determine z(x(i)).\nAnswer: 13872*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 27 + -22. Suppose 3*u + 2*d - 5 = 2, -2*d - p = -u. Factor 12 - 6*k - u*k**2 + 3\/2*k**3.\nAnswer: 3*(k - 2)**2*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - 3. Let x(c) = -2*c**2 + c. Let a be x(-1). Sort 4, a, r.\nAnswer: r, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -52886*m**3 + 222*m - 222*m + 11588*m**3 - 25703*m**3 + (-3 + 3 - m)*(m**2 + m**2 - 3*m**2) in the form w*m**2 + a + h*m + s*m**3 and give s.\nAnswer: -67000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (((-19044)\/7)\/3)\/(7\/(-49)). Suppose m - 2*h - 3172 = -5*h, -2*m = 2*h - r. Suppose -k + m = 4*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 172487 and 3813.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4.6284 and 0.5?\nAnswer: -2.3142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 130.929669 milliseconds in days?\nAnswer: 0.0000015153896875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.078 times -7\nAnswer: 0.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**2 - 1. Let v(j) = -4*j**2 + 2*j + 4. Let y = -21 - -9. Let z be (2\/4)\/((-1)\/y). Calculate z*n(k) + v(k).\nAnswer: 2*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -3698690 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.102 + -181?\nAnswer: -181.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -9237 divided by -1?\nAnswer: 9237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 48 + -43. Let b(r) = 3*r - 12. Let f be b(a). Suppose -8*n = f + 29. Is -16\/3 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**(6\/11))**(-1\/6))**(-3\/13))**50 assuming v is positive.\nAnswer: v**(150\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the third derivative of -1\/8*g**4 + 0*g + 1\/2*g**3 - 1\/180*g**6 + 0 - 1\/60*g**5 + 4*g**2. Let c(u) be the first derivative of x(u). What is c(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 + 2)*(-8*k + 0*k + 51*k).\nAnswer: 172*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*g**3*i**2 - 44*g**3*i*u**2 - 849*g**3*i + 444*g**2*i**2*u + g*i**2*u**2 - 2*u**2 wrt g?\nAnswer: 12*i**2 - 264*i*u**2 - 5094*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1018 divided by 24\nAnswer: 509\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 274 is divided by 68.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 53449?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 1810\/390441?\nAnswer: 1810\/390441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1008056 and 48692?\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cpwxwpwxwpwxwwppc. Give prob of picking 1 x and 1 c.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/3 - 38\/(-6). Suppose -2*c - 8 = -32. List the prime factors of (20\/d)\/(8\/c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 653804934 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -25 - -24 - (5\/(-1) - 1). What is the third derivative of -g + 12 + 9*l**2 - 11*l**4 - 9 - l**3 wrt l?\nAnswer: -264*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that -2*n**2\/13 + 20*n + 262\/13 = 0.\nAnswer: -1, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 5, -4, 251, -5 in decreasing order.\nAnswer: 251, 5, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**2 + 323*w - 17. What is z(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 990*n - 1992*n + 84 = -981*n. Solve -2*h - 10 = -6*h - 2*i, n*i = 2*h + 30 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in three tenths of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 34\/16 + 5\/(-40). Suppose -4*f + l - 68 = 0, 0 = q*f + l - 2*l + 32. Let x be 3*-6*4\/f. What is the highest common factor of 44 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*f**3 - 14392*f**2 + 1436800*f + 320000 = 0.\nAnswer: -2\/9, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.06 + 0.06. Suppose 12*d - 13*d - 6 = 0. Let g = 17\/3 + d. What is the closest to g in -1, 4, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-2 + 5 + -1*(sqrt(171)*-5)\/sqrt(9) + -2 + 0))**2.\nAnswer: 90*sqrt(19) + 4284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6 + (-175)\/28 - (-2445)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -3*j - 5. Suppose 0 = -4*i + 5 - 21. Let b = 16 + -7. Calculate the least common multiple of g(i) and b.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*s - 5*y + 533 = 502, 0 = 2*s - 5*y + 23 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*((-3321)\/(-82))\/(-3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 5, 78, 177, 302, 453?\n\"Answer: 13*z**2 + 34*z - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i - 9 + 5. Solve -4*z + i*x = 2, -z - x + 3 = 2*x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2279158?\nAnswer: 2, 7, 263, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + -3 - (43 + -4 - 4).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/9  (b) -5  (c) -4178427\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-1) - 93\/(-31). Solve b*x + 3 = 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*s - 495 - 282 + 177 - 270.\nAnswer: -6*s - 870","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 711132*i + 14. Let x(n) = -3*n. Calculate q(x(u)).\nAnswer: -2133396*u + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**2 - r. Let k be u(-3). Find the common denominator of -9\/8 and (-2)\/k*450\/28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14935 and 64860645?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8.873 - 0.127. What is the second smallest value in 6, -0.5, k, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 7*g + 5. Let z be x(0). Suppose -y - 2 = 3*w - z*y, 3*w + 2*y + 8 = 0. What are the prime factors of (-592)\/(-3) - w\/3?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**3\/8 - 161*k**2\/2 + 1945*k\/8 + 647\/2.\nAnswer: -(k - 4)*(k + 1)*(k + 647)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 4*y + 4*r - 5 = 0, -2*y = -r + 11. Let i be (6 - 9)*(-4)\/y. Let v(j) = -4*j**2 - 9*j. Let d(a) = a**2 + 2*a. Calculate i*v(w) - 18*d(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -3*j**2\/5 - 432*j\/5 + 876\/5 = 0.\nAnswer: -146, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 5*l = 45. Let i = l + 76. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the second derivative of 0 - 2*j + 3*j**2 - 1\/6*j**3. Let l be f(5). Let h(z) = z + 1. Calculate h(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 792738 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 4*p = -49, 0 = 4*u - 8*u + 3*p - 226 + 30 for u.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24 (base 9) to base 6.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 63.00654 decades?\nAnswer: 7560.7848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 3*y - 3. Suppose -384 = -4*u + 4*q, -u - y*u + 3*q + 382 = 0. Let f = -44 + u. Does 25 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 138076 bigger than 163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0 - 1 - (7383\/2385 + -4). Let w = -2\/53 + i. Is 0 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.368132 years to decades.\nAnswer: 0.5368132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmk. Give prob of picking 1 k and 1 m.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 33.38897521 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**2 + 2*y + 2. Suppose 5*d = 3*m + 46, 2*d + 4*m = 6*m + 20. Calculate the smallest common multiple of d and k(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the first derivative of -59*g**4\/4 - 206*g + 3187. What is the first derivative of k(o) wrt o?\nAnswer: -177*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 47 + -45. Suppose 5*x + 2*b = -7, 2*x = -i*x + b - 3. Which is smaller: 2\/53 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from {k: 4, o: 2, s: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -175 + 4*c**3 - c**4 - 3*c**3 + 178 + 0*c**4 - 8*c**2 as j*c**3 + n + r*c**4 + u*c**2 + l*c and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8772 or -15248?\nAnswer: -8772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 282521 (base 9) to base 11.\nAnswer: 10863a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in thirty-three fifths of a second?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28202 is divided by 367?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 25932379019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 0.36014mm?\nAnswer: 0.00036014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59*o + 15 = 62*o + 3*t, 0 = -2*o + 2*t - 2. Which is the biggest value?  (a) o  (b) 2\/39  (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 divided by 5492.\nAnswer: -2\/1373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -41136747\/338882752 - 2\/407311. What is the common denominator of b and -21\/736?\nAnswer: 19136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4.7 or -5\/14?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1381*b**2*g + 3*b**2 - b*g - 6520*g wrt b?\nAnswer: -2762*b*g + 6*b - g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 11, 48, 111, 200?\n\"Answer: 13*h**2 - 2*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.419803 millilitres?\nAnswer: 0.000419803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3073, -2922, -2663, -2290, -1797, -1178, -427?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 182, 643, 1362, 2339, 3574, 5067?\n\"Answer: 129*n**2 + 74*n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 19, 0.1, -10\/3, -0.35, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Are 162080 and 162082 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**4\/2 + 31*t**3\/2 + t**2\/2 - 31*t\/2.\nAnswer: -t*(t - 31)*(t - 1)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes after 4:15 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -68\/9 and -16\/37445.\nAnswer: 337005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -20054, -39994, -59934?\n\"Answer: -19940*w - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1508704\/43 + 35086. Let s = 3.2 + 1.8. Let c = -0.9 + 0.5. What is the smallest value in c, s, 2\/7, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 77 divide 1005349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 27169907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14 + 22. Let o = i - 7. Let x(z) = z**2. Calculate x(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 43 - 3. Let k(m) = -m**3 + 4*m + 3. Let c be k(-2). Suppose 5*h - 53 = q, -4*h + 24 = c*q - 7. Calculate the highest common factor of h and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*o**3 + 22*o + 0*o**2 + 0*o**2 - 20*o.\nAnswer: 28*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(2\/7))**(2\/57)*(g\/(g*g**(-1\/10)))\/((g**6*g)\/g) assuming g is positive.\nAnswer: g**(-23501\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 111*o**3 + 49*o**3 - 13*o**3.\nAnswer: 147*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 414 + 286 = 28*s. Suppose 4*g - 205 = 3*v, 3*v + 6 + 3 = 0. What is the remainder when g is divided by s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5\/19 in -5, 267, 2\/13, 2, -4.8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**2. Let j(n) = -4*n**2 - 7*n. Let s(x) = -2*a(x) - j(x). What is the second derivative of s(d) wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -4*i - 19, -3*i + 9 = 5*n + 15. Let r be 1\/((-3)\/(-2) - 1). Suppose 18 = 7*q - 3*q - v, -r*q + v + 8 = 0. Solve n*b = q*b + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-68)\/(-18) + (-8)\/(-36). Suppose -2*v + 3 + 2 = -t, g*t = 4*v - 4. What is the third derivative of 5*b**2 + 0*b**3 - 7*b**t + b**3 wrt b?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 83 - 83 - 56*s - 12*s + s - s + (5 + 0 - 3)*(-2*s + 0 + 0) in the form v + q*s and give q.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - -13. Suppose 4*o + 234 = h*o. Suppose 0 = 2*c + 2*c - 28. What is the remainder when o is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -2*m - 8. Let a(y) = 4*y + 16. Let q(z) = 6*a(z) + 13*l(z). What is q(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 3*s**2 + 2. Let o(x) = -12*x**2 - 8. Determine -9*j(b) - 2*o(b).\nAnswer: -3*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*(g*((g*g*g**(3\/10)\/g*g)\/g)\/g*g*g*g)\/g*g**(4\/11)*(g\/g**(1\/8)*g)**48 assuming g is positive.\nAnswer: g**(10413\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -22?  (a) -23  (b) 13  (c) -2\/7  (d) -5  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8*(-5)\/240*2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 320 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = n, 4*k - 2*k - 5*n = 95. Suppose 21 = 4*b - k. Calculate the highest common factor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -706 = z + g - 3696, -8 = -4*g. Let r = -23945\/8 + z. Let v = -510\/31 + 3559\/124. What is the common denominator of v and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 37128 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -437651, 1\/2, 0.3 in increasing order.\nAnswer: -437651, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**3 - 15*o**2 - 54*o + 5. Let v be r(-6). Let s(p) = -22*p + 110. Let u be s(v). Solve -w = -5*y - 25, 5*y - 5*w = -u*w - 45 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 69 and 50847756?\nAnswer: 50847756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -757.97 + 754. Let k = 4.97 - 5. Let f = z + k. What is the closest to -1 in f, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 0*z = 45. Suppose f = 3*k - 2*f + z, 3*f = 5*k + 65. Let b be ((-6)\/k)\/(3\/15). Solve -x + 2*y - 3 = 0, b*y - 3 = 2*x - 0*y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 225352.\nAnswer: 2, 17, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of -652*o**5\/15 - 1027*o**4\/6 + 2149*o**2. What is the second derivative of d(y) wrt y?\nAnswer: -5216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*t + 0*t + 2*t)*(-22281 + 5*t + 22280 - 2*t - 47*t**2).\nAnswer: 94*t**3 - 6*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/(j\/(j*(j*j\/j**(-4))\/j))*j*j*j**(-8)*j assuming j is positive.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 28 and 16466472?\nAnswer: 115265304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oaauaauao. What is prob of sequence aoao?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9 and 363.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2487 from -0.09.\nAnswer: 2486.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 39\/65*(-1)\/6*-2\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 1 - 9 - (19 + -31)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(1\/16)*j*j)\/j**(-1\/2) assuming j is positive.\nAnswer: j**(57\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 312599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 4*o. Let b(v) = 7*v**2 + 3*v + 3. Let q(u) = 20*u**2 + 8*u + 8. Let c(n) = -8*b(n) + 3*q(n). Calculate s(c(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 156\/(-1300)*8\/12?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00077999 rounded to 5 decimal places?\nAnswer: 0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -15070000 rounded to the nearest one hundred thousand?\nAnswer: -15100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-42)\/(-27)*8\/(-28)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l + 48. Suppose -g = 15*j - 16*j + 180, -j = -3*g - 178. What is the remainder when j is divided by v(17)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 114 divided by -3933336?\nAnswer: -19\/655556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**3 + 9*w**2 + 8*w - 6. Let v(i) = -634*i - 2. Suppose -5*q + 25 = -5*n, -q + 0*q = -2*n - 9. Let y be v(q). Let h be (y\/39)\/2 + 2\/13. Give t(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*j + 3*j = 189. What is the remainder when 93 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -7, 4, 10\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1\/2)\/((-4)\/(160\/6)))\/((-534)\/9612).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1377 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 26198625 to the nearest integer?\nAnswer: 5118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2 - 334466*m + 5685633.\nAnswer: (m - 334449)*(m - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m - 2*z + 76, 60 = 4*m + 4*z - 12. What is the remainder when (6252\/5)\/6 - 8\/m is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1774 - -2666. Suppose o + p = 5*o. Suppose 0 = 2*c - 5*z + 203, 3*z - o - 190 = 4*c. What is c rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**3\/8 - 11*t**2\/8 - t\/8 + 11\/8.\nAnswer: (t - 11)*(t - 1)*(t + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the second derivative of 2*b**4 - 3*b**3\/2 + 19*b**2\/2 + 155*b. List the prime factors of v(-5).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((221\/4)\/17 - 8)*16*-1. What is the highest common divisor of 10 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j - 14. Suppose 37 = -4*r - 15. Let k be f(r). What are the prime factors of (-16 + 13)*33\/k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -149*j**2 + 49. Let q(v) = v**3 + 149*v**2 - v - 48. Let z(t) = 3*l(t) + 2*q(t). Find the second derivative of z(m) wrt m.\nAnswer: 12*m - 298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3767895 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 251 - 252. Which is the closest to 1\/6?  (a) h  (b) 1  (c) 4  (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - -2)*(8 - 6) - 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 266 and 34078514.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (243*d + 124*d - 55*d)*(16 + d**4 - 14 + d**4).\nAnswer: 624*d**5 + 624*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 10\/(-8)*-3*(-8)\/(-20)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 20011970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1210)*-1)\/(sqrt(96)\/sqrt(12)).\nAnswer: -11*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19 - 1. Suppose c - 4*k + o - 41 = 0, 2*c + 4*k = -14. Solve -8 = -5*r + 2*r - x, 3*r - 18 = -c*x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -287424 - 21763 = -5488*a + 53021 for a.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-2 + 100\/6)*17\/(714\/(-18)) and 5\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (-4 + 4 + (sqrt(475) - sqrt(475)*2 - sqrt(475)) - (1 + 1*sqrt(475)*-6)) + -4)**2.\nAnswer: -320*sqrt(19) + 7664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2191177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(2*sqrt(99) + -5 + 3 + sqrt(99) + 1)**2 - ((sqrt(44)\/(sqrt(4)*3) - (2 + sqrt(539))) + -4).\nAnswer: -5346 + 344*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 226.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -385*x - 49. Let n(j) = 16*j + 2. Let c(u) = 2*d(u) + 49*n(u). Let k(a) = 2*a**2 + 51144 - 51144. What is c(k(v))?\nAnswer: 28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -504200754*y**3 + 681*y**2 - 119397.\nAnswer: -3025204524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, b: 11}. Give prob of picking 3 b.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -148 divided by 1203\nAnswer: -148\/1203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhmmhm. What is prob of sequence mh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the third derivative of s**6\/120 - s**3\/6 + s**2. Suppose 4*w - 4 = 60. Let o = w + -15. Determine t(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0\/1)\/(-2) - -2. Let w(h) be the third derivative of -13*h**4\/24 - h**3\/6 - 151*h**2 + 1. What is w(g)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-1 + sqrt(567) + sqrt(567)) + -4 + -2.\nAnswer: -72*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j**3 + 4*j**3 + 0*j**3)*(0*j**2 - 2*j**2 - 3*j**2) + j**5 + 0*j**5 - 3*j**5 - j**5 + 3 - 3 + (3*j**3 - j**3 - 3*j**3)*(-2*j + 2*j**2 + 2*j).\nAnswer: -20*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 3\/22, 16.\nAnswer: 3\/22, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-1\/3)\/j**28*j\/j**(-27)*j*j**(-2\/5)\/j assuming j is positive.\nAnswer: j**(-11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Do 189711 and -8\/37 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as 394496\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -6 - 6*s**4 - 6*s + 3*s + 6*s**3 + 3*s**2 - 99*s**5 + 96*s**5 + 9*s**2 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 99224200\/10647 + 1955\/2366. Let s = 9314 - a. Find the common denominator of s and (3 - 11\/4)*-134.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**2 + u + 2 + 0 - 2*u. Let z be x(0). Suppose 4*n - 51 = 5*a - 15, -4*n = -2*a - 24. Solve -h - 3*m = 5, n*h = -3*m + 5 + z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -176c08 + -426?\nAnswer: -177331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 4006, -3 in decreasing order.\nAnswer: 4006, 9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 16724*p**2 - 16746*p + 12. Let f(m) = -58533*m**2 + 58611*m - 42. Let y(g) = 5*f(g) + 18*s(g). Solve y(x) = 0 for x.\nAnswer: 2\/2789, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 5 = 0, l + 4*l + 5*x = 20. Suppose -3*r = -2*d + 8, d + 0*r + l*r + 9 = 0. Let a = 125\/532 - -2\/133. Is a >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1632.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*q**5 - 6502*q**4 - 32*q**3 + 52*q**2 - 2570*q - 2 wrt q?\nAnswer: 120*q**2 - 156048*q - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 21, -2\/15, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -362\/15*o**2 + 2\/15*o**4 + 116\/15*o**3 + 0 + 244\/15*o = 0. Calculate o.\nAnswer: -61, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 2*u**2 + 1. Let x(y) = -y**2. Let z be (-7 + 3 + 1)*(-3)\/(-9). Give z*g(w) - 4*x(w).\nAnswer: 2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*s = -20*s + 48*s + 408 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*h + 2744 = 16*h + 63*h for h.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-25)\/(-250) + 6\/(-10))*-9458 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*-3196.\nAnswer: 639.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -12121011220 (base 3) to base 10\nAnswer: -110211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 39*c**4 - 8035*c**3\/2 + 202903*c**2\/2 + 104156*c - 1352 = 0.\nAnswer: -1, 1\/78, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 4*s = -6*m + 43, 4*s + 86 = 2*m. Calculate the remainder when m is divided by 6\/(-45) - (364\/30)\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 40750.6 plus -0.0106?\nAnswer: 40750.5894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13942544 and 15400?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 3*f + 64. What is k(-12)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 103110 - 103688 = 34*j for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2, -108, -406, -992, -1962, -3412?\n\"Answer: -16*y**3 + 6*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -91 (base 13) to base 5.\nAnswer: -433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -36423, -60014, -83605, -107196?\n\"Answer: -23591*g - 12832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 + -4. Suppose -s*p + 8 = 2*p. Solve 0 + 1\/4*c**p + 0*c = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that -2*q**2\/5 - 459176*q\/5 + 2755128\/5 = 0.\nAnswer: -229594, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -22*d + 200. Determine o(10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 34*t**4 + 44*t**4 - 40*t**2 + t**3 - 81*t**4 + 39*t**2 + 152*t to the form c*t**4 + y*t + z + h*t**2 + g*t**3 and give y.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(176))**2 - -1*sqrt(704) - sqrt(77)\/(-4*sqrt(252)))*-6.\nAnswer: -4224 - 193*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 176\/(-64)*(-222)\/35409?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20311301 (base 4) to base 6.\nAnswer: 435345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -4*k - 17. Let h be t(-5). Suppose -3*x - 2*x + 40 = -h*p, -5*p = -2*x + 73. Let a = 39 + p. What is the least common multiple of a and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v - 8 = -2*v. Let y be (-2)\/4 - (-1)\/v. Let n be (-1)\/(-1 + 5\/(-2)). What is the nearest to y in 4\/7, -5\/3, n?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-25)\/15 + (-80)\/(-30)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes after 12:49 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 873 = -101*y + 368 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u + 4. Let z be ((-6)\/(-4))\/(12\/(-32)). Let b be ((-2)\/4)\/(z\/24). Is i(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 3, y: 5, q: 3, c: 2}. What is prob of picking 1 y, 2 c, and 1 q?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 27*a + 567. Let r be o(-21). Put 36, r, -3, -2 in decreasing order.\nAnswer: 36, r, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u + 43 - 48. Let v be -4 + 1 + (-8)\/(-2) + u. Solve v*h = -2*g + h + 10, -2*g - 2*h - 2 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**2 - 9*h + 13. Let n be c(8). Let m(y) = 5 - 83334*y + 2 - n - 4. Let f be m(-3). Round f to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 73660368 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 8 = -2*r, 5*r = g + 2*g + 1. Let p be 1*2*(-7)\/r. Let a = p - -23. What is the remainder when a is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4311405 (base 9) to base 11\nAnswer: 1338a32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**4\/2 - 23*p**3 + 282*p**2 - 308*p - 1936.\nAnswer: (p - 22)**2*(p - 4)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t - 3*t - 3*t)*(t**3 - 2 + 2).\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 2*q - 10 = 0, 1 - 3 = 2*n + 4*q. Let t(y) = y**2 - 10*y - 9. Let j be t(10). What is the least common multiple of 8 and n\/(j\/(-33)) + 0?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 68 + -62. Let k(y) = -y + 4. Let u(m) = -7*m - 8 + 5 + 8*m. Give z*u(c) + 5*k(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (82 - (38 - 0)) + -14\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/85881705 and 33\/221.\nAnswer: 85881705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -323\/231 - -79\/21. Suppose 4*y + 3 = 5*y. Suppose y*a - a - 86 = 2*s, 0 = -2*a + 8. Calculate the common denominator of x and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -143\/51647 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 644406?\nAnswer: 2, 3, 7, 67, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*((-13)\/(650\/(-15)))\/(108\/30)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 6, -374, 5, -3 in descending order.\nAnswer: 6, 5, 4, -3, -374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 400*s = -3*l + 398*s + 23, -s + 9 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the third derivative of d**6\/40 + 2601*d**5\/20 + 2255067*d**4\/8 + 651714363*d**3\/2 - d**2 + 91*d. Find l such that m(l) = 0.\nAnswer: -867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*n**4 + 15*n**4 + n**3 - 8 - 2 - 12*n**4 - 6*n**4 - 3*n in the form u*n + w*n**3 + b*n**4 + x + d*n**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*f - 32505 + 3300. Do -1 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6549)\/(-59)*(5\/3 - 1). Find the first derivative of s*q**4 - 56 - 87 - 63 wrt q.\nAnswer: 296*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/((-32)\/(-6))*(-2658)\/27909?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4179255 and 5850957?\nAnswer: 29254785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 2*q**2 - 1 + (q - 3*q - q)*(q + 3*q - 5*q) + 4*q**2 - 5*q**2 + 2*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 (base 8) in base 9?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {b: 5, g: 2, m: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11 + -15. Let b = 6 - q. Suppose 330 = 51*c - 588. Calculate the remainder when c is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1116503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7*2\/(-7) - (-32)\/(-14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -322826, -322905, -322984, -323063, -323142?\nAnswer: -323221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17183379 is divided by 4283.\nAnswer: 4266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 5, g: 1, e: 1, f: 3, k: 1}. Give prob of picking 1 e, 1 v, and 1 g.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2 + 7)*(-6)\/(-10). Let g be 4\/(-14)*(-1 + l). Is -1 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 16\/227?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.45 - -0.55. What is the third biggest value in 2, 2\/391, k?\nAnswer: 2\/391","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 4*m. Let s(a) = 205*a + 1. Calculate s(w(q)).\nAnswer: 820*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times -1447?\nAnswer: 144.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -166*w - 168. What is the hundreds digit of m(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.9261 times 139?\nAnswer: -128.7279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -45*u - u**2 + 22*u + 23*u + 463*u**2 to the form x + d*u**2 + y*u and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 92.71 - -0.29. Let v = 316 - 221. Let b = r - v. Sort b, -3, 4 in descending order.\nAnswer: 4, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1130620000 to the nearest one million.\nAnswer: -1131000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/(-9))\/(85\/102)*3\/(-10)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -3.1 <= -3.363164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 2 z when three letters picked without replacement from {v: 10, r: 6, z: 2}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -126, -141, -156?\n\"Answer: -15*z - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -10 and -47\/13089.\nAnswer: 13089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-26)\/(3*3\/(-90)). Let q = -248 + j. Calculate the highest common factor of q and 252.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = q + 7*x - 34, 5*q + 3*x - 104 = 0. Let b be (-13)\/1 + (-3)\/(-1). Let d = b + q. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*i + 51*i = 8, -4*i = -t + 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 54*n**3 + 10*n**2 - 7*n - 3. Let a be i(6). Let u = a + -16979. Round u to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 4  (b) 0.05  (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3063610.\nAnswer: 2, 5, 11, 27851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -17730*v**3 - 90*v**2 - 48170057 wrt v?\nAnswer: -53190*v**2 - 180*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the second derivative of 2*f**3\/3 + 25*f**2\/2 - 24*f. Let y be n(-8). Which is bigger: y or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -6*t - 2. Let h be y(-2). Let p(i) = -3*i**2 + 2*i**2 + h*i - 4*i + 3. Does 9 divide p(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -251 or -252?\nAnswer: -251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -675*x**4\/2 + 1665*x**3\/2 + 516*x**2 + 72*x = 0.\nAnswer: -4\/15, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 9*k**2 - 10*k - 12. Let w(d) = 0 + 4*d**2 - 5 - 1 - 5*d. Let i(l) = 13*w(l) - 6*x(l). Let f be i(7). What is f rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 213 divide 10011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes before 12:31 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4213940 is divided by 4213928?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -730*l**3*q**2 - 24*l**2 - 6*l*q**2 wrt l?\nAnswer: -4380*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b - 261. Let f(p) = -p - 11343. Calculate f(s(o)).\nAnswer: -o - 11082","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 61 + -64. Sort 2, -0.4, n in descending order.\nAnswer: 2, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cck when three letters picked without replacement from {k: 1, q: 4, p: 1, c: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes before 1:26 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 37407388*t**2 + 24*t - 11320.\nAnswer: 74814776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1084?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (55 + -14 - 30 - (4 - -1)) + -27.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -4572*g - 45256. Determine j(-10).\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 114, 432, 962, 1704, 2658, 3824, 5202?\n\"Answer: 106*w**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 1559155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 333699.\nAnswer: 3, 41, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7\/4, 22\/7, 2.5, -40 in descending order.\nAnswer: 22\/7, 2.5, 7\/4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from {a: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3151.\nAnswer: 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14825, -14790, -14697, -14516, -14217, -13770, -13145?\nAnswer: -12312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23503 is divided by 11435.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 times -0.333224?\nAnswer: -16.994424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 2*y = 14, 2 = -2*s - y + 5. Suppose -s = -5*q + 36. Calculate the highest common factor of q and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**3 + 4*x**2 + 17*x + 113. Let c be t(-5). Solve -5*a = g + 4*g, -c*a = -g - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**2 - 11*a - 16. Suppose -8*o + 7*o = -14. What are the prime factors of y(o)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*f - 7*f - 3*f)*(-4 - f**3 + 4) + (-3*f**3 - 2*f**3 + 7*f**3)*(10*f + 12*f - 6*f) to the form o*f + n*f**4 + z + t*f**2 + i*f**3 and give n.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, u: 2, d: 1, o: 1}. Give prob of picking 1 o and 1 u.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 580 a factor of 3354720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:16 AM and 5:04 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -437 + 1357. Suppose -o - 3*w = -198 + 26, -5*o + 5*w = -k. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the second derivative of 2375*i**4\/6 - i**3\/2 - 9*i**2 + 27*i. Let s be m(-6). What is s rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 90460223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 450, 5, 3 in descending order.\nAnswer: 450, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s + 57. Let a be r(0). Let g = a + 22. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u - 9*u = -5*h + 25, -3*u - 7 = 4*h. Solve 105 = -h*p + 103 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 16264*l. Let r(f) = -121*f**2. What is p(r(b))?\nAnswer: -1967944*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2033121 (base 4) to base 11.\nAnswer: -6993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(11)*2 + sqrt(33)\/sqrt(3) + 3)**2 - sqrt(77)\/(2*sqrt(700)).\nAnswer: 959*sqrt(11)\/20 + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6354, -6339, -6324, -6309?\nAnswer: -6294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 + 2 - (1 - (2 - -1)). Solve -15 = 4*s + l, -5*l - 34 + 4 = r*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 851.\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111 + -10100111000010001110?\nAnswer: -10100111000010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) 140  (c) -866\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-737.\nAnswer: -1474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2*1)\/((-12)\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0 - 4 - 76686\/48. Let w = 1598 + l. What is the common denominator of 119\/10 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -26 in 1, 2, 0.4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7, -138, -495, -1192, -2343, -4062?\nAnswer: -6463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q - 9. Let c be u(9). Let x = c - 3. Put -2, 0.4, x in descending order.\nAnswer: 0.4, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 2*l. Let c(u) = 5*u**2 + 3. Suppose -4*p = -5 - 7. Let k(n) = 16*n**2 + 10. Let s(i) = p*k(i) - 10*c(i). Determine s(f(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1943.260026 - 1943.43. Let m = c + 0.17. What is m rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30658?\nAnswer: 2, 15329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the third derivative of k**4\/24 + 11*k**3\/6 + 4*k**2. Let o be u(-10). Let m(c) = 3*c**3 + c. What is m(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2244817610.\nAnswer: 2, 5, 7, 137, 149, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4777835823\/21219533960 - 251355\/242842. Let o = t - -162\/1285. What is the common denominator of 9\/34 and o?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 1053*b + 377. Is c(22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-64)\/24)\/(780\/(-72)*(-164)\/1435).\nAnswer: -28\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-5))\/((-1)\/(30\/24)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5289, 1, -2\/21, -1, -2\/13?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -177*c + 2 - 243*c - 9 + 720*c - 229*c as v + q*c and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 2*n + 30 = t, 4*t + 4*n = 12. Let r be (t\/7)\/((-46)\/(-161)). Suppose -5*d + 10 = -0. Solve -5*o + r*o - d = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**4*m**(-2\/27)\/m)\/(m**(-1)*m*m*((m**(4\/3)*m)\/m)\/m) assuming m is positive.\nAnswer: m**(43\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {h: 1, x: 10, k: 3, m: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 25158613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 220 and 715.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -5*v + 170. Suppose 4*a = 8*a. Suppose -m + a*m + v = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*u**3\/7 + 31252*u**2\/7 - 2446782*u\/7 + 47771568\/7 = 0. Calculate u.\nAnswer: -15704, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 26895 and 462.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 12 times 0.18\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1582425?\nAnswer: 3, 5, 13, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 2*x**3 - 4*x**2 + 2*x + 2. Let q(y) = -2*y**3 + 3*y**2 - y - 2. Suppose -24*c = -25*c + 4. Determine c*q(n) + 3*l(n).\nAnswer: -2*n**3 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -893 or -892?\nAnswer: -892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1268 - 2605\/2. Is n < -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -9*k. Let z(o) = -o**3 + 7*o**2 + 2*o - 8. Let p be z(7). Let x(i) = 6*i + 5. Let c(v) = 7*v + 6. Let f(t) = p*x(t) - 5*c(t). Calculate l(f(b)).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12260 and 6130.\nAnswer: 12260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z**5\/7 - 32*z**4\/7 + 86*z**3 - 1984*z**2\/7 - 600*z\/7 + 288 = 0. What is z?\nAnswer: -28, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -3*t**3 - 2*t**2 + 4. Let f(y) = -y**3 - 31*y**2 - 29*y + 26. Let x be f(-30). Let i(v) = -v**3 + 1. Calculate x*i(a) + n(a).\nAnswer: a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 729034 is divided by 52073.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 14*i**4 - 36*i**2 + 36*i**2 + (0*i + 0*i - i)*(2*i + 3 - 3)*(-i**2 + 0*i**2 - i**2 + (0*i - i + 2*i)*(i - 5*i + 2*i)).\nAnswer: 22*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.02?  (a) -11  (b) -4\/15  (c) -18\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.147308cm to kilometers.\nAnswer: 0.00001147308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/42*4*13\/(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3eb615 - 1c9?\nAnswer: 3eb43b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 17700 and 168150.\nAnswer: 336300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvvx when four letters picked without replacement from {x: 1, v: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 b when two letters picked without replacement from oyksskbsososys.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2*(2 - (-10)\/(-4)). Let k = -52.1 - -52. Which is the closest to v?  (a) 0.4  (b) 3  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 - -14) + -15 + (-2 - 22).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 141.4227036 to zero decimal places.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 15632 divided by 9\nAnswer: 15632\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*n = -20*n + 94450. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the first derivative of 10\/3*p**3 + 1\/4*p**4 + 0*p - 10 - 3\/2*p**2. What are the prime factors of f(-10)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -5*w**3 + 11265*w**2 + 22545*w + 11275 = 0?\nAnswer: -1, 2255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -129454*n**2 - 248702*n.\nAnswer: -258908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in eleven halves of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(7)*-3*3)**2.\nAnswer: 20412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 155\/126 and -13\/84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m = 216*f - 217*f - 39, -2*m = -3*f - 13 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 487 smaller than 975\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12*u - 35*u**5 + 11*u + 18*u wrt u.\nAnswer: -700*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l - 5*n + 671 - 78, 2*n = 10. Suppose -7*o = -11*o + l. List the prime factors of o.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -277*r - 1693 - 2462 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -11607725.12 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 492 + -481. Which is the fourth smallest value?  (a) -0.5  (b) -3  (c) z  (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from ufuuuuyuu.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -2*b**2 - 5*b - 10. Let r(t) = -t**2 + t + 1. Let h(n) = c(n) + 5*r(n). What is the first derivative of h(s) wrt s?\nAnswer: -14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 48  (b) -4  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 68136 - 4280. Calculate the greatest common divisor of z and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(50)\/sqrt(90) + (sqrt(45) + -2)**2 + -4*sqrt(30)\/sqrt(6) + -5.\nAnswer: -47*sqrt(5)\/3 + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.009143 + -0.0085. What is g rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -4*d - 3. Let x(n) = -7*n - 5. Let f be ((-9)\/(-5))\/((-39)\/(-65)). Let c(t) = f*x(t) - 5*y(t). Let s(j) = -12*j. Give -27*c(p) + 2*s(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 - 4*y**2 + 2*y - 4. Let b be z(4). Suppose -13 + 49 = 4*c. Suppose -14*j = 21*j - 70. Solve b*l = r, 5*l + c = r - j*r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -110494*s - 56020455. Give j(-507).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(35)*2)\/(1*sqrt(7)*5).\nAnswer: 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 148568376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -180 + 185. Is 4 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*z - 4*j - 6 = -4*z, -2*z - 5*j = 11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -39 + (84 - 54 - (-1 - -15)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-18 - -114)\/12 + 6\/(-3) + 437.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-782)\/23 - -33)*(2 + 11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 63 = -3*b + 2*k, -2*b - 14 = 2*k. Let p = b + 25. Suppose 0 = 5*r - 3*f - 27, 2*r - f - 14 = -3*f. Solve 0 = -4*d - r - p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1008552*j**3*k**2 + j**2*k**2 - 7*j*k**2 + 23126*k**2 wrt j?\nAnswer: -6051312*j*k**2 + 2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 3*t - 6. Let q be z(7). Differentiate -q + 3*x**4 + 0*x**4 + 18 wrt x.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1732, -7082, -16002, -28492, -44552?\nAnswer: -64182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1427*x**2 - 2431*x**2 + 420*x**2.\nAnswer: -3438*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 10406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 8*o + 11. What is b(-7)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the first derivative of -58\/7*w**7 + 2*w + 0*w**2 + 62 + 1\/3*w**3 + 0*w**4 + 0*w**6 + 0*w**5. What is the third derivative of h(r) wrt r?\nAnswer: -6960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifteenth of a minute in milliseconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (((sqrt(405) + 1)*-1)**2 - sqrt(405)).\nAnswer: 9*sqrt(5) + 402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:03 PM and 6:40 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -151\/39296532 and -47\/318?\nAnswer: 39296532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -147, 2, -1 in ascending order.\nAnswer: -147, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -2981, -7470, -13429, -20858, -29757, -40126?\n\"Answer: -735*x**2 - 2284*x + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 144 and 80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in five sixths of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -9*n + 3*u + 1173, 0 = 5*n - u - 1171. Suppose 4*r = 2*y + 76, -4*r - 4*y + 50 = -14. Calculate the greatest common factor of n and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 35031144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28042?\nAnswer: 2, 7, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1178 = 23*z - 5111. Differentiate -117 - 169 + 333 + z*p**2 wrt p.\nAnswer: 342*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76271374 to the power of 1\/2, to the nearest integer?\nAnswer: 8733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - l + 4*l = -84, -4*o + 76 = 2*l. Calculate the remainder when 89 is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -403, -3657, -9769, -18739, -30567?\nAnswer: -45253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - 3 - (-4 - (-5 - -8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -101211023 (base 4) to base 13\nAnswer: -26a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 96\/11?  (a) -3  (b) 1\/3  (c) 4  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11386 is divided by 2825?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 112 and 25144?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1395 and 1423055.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - ((3 - 14 - -22) + 0 + -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/((-60)\/(-40)*(-3)\/((-63)\/(-14)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s - 4. Let a be u(9). Suppose 4*r = -a*f + 403, 2*f - f + 112 = r. Calculate the remainder when r is divided by 5\/(15\/28)*3.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2970 divided by 10?\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r = 6*b - 9, 3 = 3*b - 2126*r + 2123*r for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -13260 divided by 5?\nAnswer: -2652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0058158 to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 1 - (11 + 9 + -7 + -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -11 - -3104?\nAnswer: 3063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 198062 and 668?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -9009 equal to -9009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2273*h*o**2*y - h*o*y**2 - 6365*h*y**2 - 7*o + 10*y**2 wrt o?\nAnswer: -4546*h*o*y - h*y**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 10 = 46. Suppose -3*w + 4 = -4*t - 3, -3*t + 4*w = p. Put 4, -4, t in increasing order.\nAnswer: -4, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 291289 and 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 2*x + 3*x. Which is bigger: -3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the first derivative of -z**2\/2 + 2*z + 1. Let y be o(2). Suppose 4*m - 17 = 5*k + 9, y = -5*k - 10. Solve -n + 3*s = m*n - 26, -5*s - 10 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 681, -3, 39 in decreasing order.\nAnswer: 681, 39, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 3*k - 6 = -33, 2*k + 26 = 4*o. Solve -2*b = b + o*x - 31, 4*x - 36 = -4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 - -1 - (-582)\/(-10). Let d be 3\/((-90)\/(-1426)) - 0. Let l = d + w. Calculate the common denominator of l and -29\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*s**3 + 750*s**2 + s - 757*s**2 + 438 - 460 as b*s + j*s**3 + i*s**2 + a and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 308234299 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 4*y + 151 = 5*y. Let b = 171 - y. Calculate the least common multiple of 12 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21354, 42721, 64084, 85443, 106798?\nAnswer: 128149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**3 + 5*p**2 - p - 2. Let n be r(-5). Suppose -n = -2*x + 1. Suppose -2 = x*i - 4. Are i and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 92198*y - 553130. What is k(6)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*r**5\/2 + 9271*r**4\/2 + 510395*r**3 - 270615*r**2 - 440011*r\/2 - 48841\/2 = 0. Calculate r.\nAnswer: -221, -1\/3, -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-4*sqrt(12) - sqrt(30)\/sqrt(10)*4) + -1)*1)**2.\nAnswer: 24*sqrt(3) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.04558 - 0.05442. Let r be 5\/(-2)*(-6)\/(-1). What is the nearest to 0 in 4, j, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 356*q**3*v**3 - 207*q**3*v**2 - 82*q**3*v + 26*q - 15 wrt v?\nAnswer: 2136*q**3*v - 414*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 29616*j**4 + j**3 - 55*j**2 - 4*j - 875 wrt j.\nAnswer: 710784*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**2 - 6*r - 6. Let c be w(-4). Suppose 4*p - 198 = -c*n, 0 = 2*p + 4*n - 30 - 72. Let u be (-1)\/(-4) - p\/56. Is u >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 5, t: 9}. What is prob of picking 1 g and 3 t?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, e: 1, d: 1, a: 1}. Give prob of sequence daue.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 2 = -g, g - 3*g - 3*p = -13. Suppose 2*s = 5*l - 4307, -2*l - 5*s - 2588 = -g*l. Suppose l = -a + 4*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.810787mg to tonnes.\nAnswer: 0.000000005810787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -411 = -22*d - 103. Solve 0 = -5*v + 3*f - f - d, -4 = -v - 3*f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -151\/168 and -46*21\/(-60) - (-36)\/(-9).\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2 - 224*b + 57096.\nAnswer: -2*(b - 122)*(b + 234)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -91777386 divided by 45888693.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/((4\/(-14))\/(-2)). Let k(h) = 7428*h + 4. Let d be k(x). Round d to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -45, -154, -347, -666, -1153, -1850?\n\"Answer: -7*c**3 - 60*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u - 1. Let m be z(4). Put 0, -0.1, m in descending order.\nAnswer: m, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 85870275?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -4*z**2 - 85*z - 16. Let a be l(-21). Suppose 0 = a*d + j - 65, 10 = -3*j - 5. Calculate the remainder when 27 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 16 + -16. Suppose -2*a = -2*g - 62, k*g - 159 = -5*a + g. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m*m**(-1\/4))*m*m)**(-11)\/((m\/(m**1\/m))\/m**(1\/3)))\/(((m\/(m*m**(-1)))\/m)**(-3\/11)\/(m**2*m*m**6)) assuming m is positive.\nAnswer: m**(-197\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*m + 93 = -7*m. Suppose -m*r + 27*r = -8. Solve r + 0 = -a - 5*z, 3 = -3*z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2546 and 17.\nAnswer: -2529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (657\/(-81) + 8)*(-4 - (-6 + -1)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 4*b - 3 = 11, 2 = -5*d - 3*b. Let f(c) = 2*c - 15 + 6 - 8. Let z be f(9). What is the greatest common divisor of z and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2878 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3\/(-4 + -4 + 9). Suppose 5*m + 0 = -5. Let x = -60 + 59.7. Which is the nearest to m?  (a) 7  (b) i  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5237 or -5240?\nAnswer: -5240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes before 5:15 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pippeisieshhphehsp. What is prob of sequence seii?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*r + 0*r + 6*r - 3*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 times 0.0052452?\nAnswer: 0.1206396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -11415835*a**2*h**2 - 6675679*a**2*h wrt h.\nAnswer: -22831670*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = 2*p, -21*n + 44 = -22*n + p + 47 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 + 20202?\nAnswer: 20210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 610?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 14, -36, -80, -112, -126, -116, -76, 0?\n\"Answer: a**3 - 3*a**2 - 48*a + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1625251452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1576 and 183604.\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 - 1)*(6*b - 2*b - b)*(4 - 6 + 0)*(0 + 4 - 6).\nAnswer: -36*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -6*b**2 + 10*b**2 - 2 + 2*b + 159*b**3 - 4*b. Let f(z) = -319*z**3 - 7*z**2 + 3*z + 3. Let q(d) = 3*f(d) + 5*j(d). Is q(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1290 - 1285. Solve 7 = a*l - 13 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -55*z + 33*z - 10788 + 10900 to the form d*z + k and give k.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -38, 19, -2, 3, -10 in decreasing order.\nAnswer: 19, 3, -2, -10, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27649 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k**2\/11 + 19134*k\/11 + 229320\/11 = 0. Calculate k.\nAnswer: -9555, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 12*t**3 - 4*t**2 + 2. Calculate v(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 4*z + 20 = 0, -d - 5*z = -15 + 34. Let i be (6\/((-12)\/d))\/7. Put i, 4, -1.4 in decreasing order.\nAnswer: 4, i, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9629, 19256, 28883, 38510?\nAnswer: 48137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 - 2*y**2)*(-5 - 5*y - 11*y + 12*y) to w*y**2 + b*y**3 + f + n*y and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -231 + 233. Sort 1\/6, 15, x.\nAnswer: 1\/6, x, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*g*r**4 + 12*g*r**2 + 21*g*r + 2*g - r**3 + 177*r**2 + 128*r + 1 wrt r.\nAnswer: 24*g*r**2 + 24*g - 6*r + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 0.04, 0, 99 in ascending order.\nAnswer: 0, 0.04, 0.3, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from msymsssmsssasambss. What is prob of picking 1 m and 1 y?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-20)\/8)\/(3*(-5)\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*v - 10*v - 14*v - 76 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes after 10:17 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 3*k**2. Let u(y) = -19699*y - 1. Give z(u(a)).\nAnswer: 1164151803*a**2 + 118194*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -12 - 4346?\nAnswer: -4361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.5  (b) 4\/9  (c) -0.28  (d) -0.2  (e) -1.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2483?\nAnswer: 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-34 - 1) + 2\/1. Let j = -29 - y. Solve -u = -j*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -23758686*q**3 + 37484655*q?\nAnswer: -142552116*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9.4 + 0.4. Let n = -0.07 + -0.53. Let c = -0.5 - n. Is c bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 80 and 1126?\nAnswer: 45040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -4*z - 14. Put 3, 1, z in increasing order.\nAnswer: z, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 - 212501124?\nAnswer: -212501130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes after 12:27 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:27 PM and 8:47 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -556*n + 675 + 290 + 2927 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2116\/7*s**3 - 4600\/7*s**2 - 32\/7 + 752\/7*s.\nAnswer: 4*(s - 2)*(23*s - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3547993.39913 + 3548148.4. Let n = -44 + 199. Let f = n - c. What is f rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/1 - 902\/(-16). Suppose -u + m = -56, -99 = -2*u - 5*m + 27. Let b = u - f. What is the third smallest value in b, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 15*u + 20. Let o(j) = -j - 1. Let l be -11 + (-5)\/(10\/(-8)). Let t(f) = -f**3 - 8*f**2 - f + 22. Let n be t(l). Determine n*o(z) - b(z).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/177 or 2?\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sum -405182427 and 17955.\nAnswer: -405164472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 26*b*c**2*p**3 + b*c**2 - b*c*p**3 - 379*b*c + 15*b*p + 219*c**2*p**3 wrt c?\nAnswer: 52*b*p**3 + 2*b + 438*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20 - -5) + 3 + 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + f**2)*(-f + 2*f + f) + (20*f + 11*f - 8*f)*(-9*f**2 - 13*f**2 + 2*f**2).\nAnswer: -458*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = i - 12, -3*i - 5*q + 30 = 2*i. Let a be 1 + 1 - (-2 + i). Suppose s - 415999 = -4*d, -2*s + a = 3. Round d to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, -3, -23, -4 in descending order.\nAnswer: 3, 2, -3, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lllyyyll. Give prob of picking 2 l and 1 y.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**2 - 8*z - 87. Determine f(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -115 + 184. Suppose 5*n + 19 = r. Suppose -4*y + 2*m + 48 = 0, n*m - 5*m - 23 = -3*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + u = -9*q - 294, -q + 2*u + 1256 = 1291 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 10 = 2*d - 0*d, -3*d + 15 = 4*r. Suppose -4*l = -r*l - 48. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -67 divided by 8?\nAnswer: -67\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + 1 + (-7 - -7) - (1 + -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2 + 3 + (4 + 3 - 5)*(5 - 2 - 1) + 31 - 7 + 19 + ((1 + 3 - 2)*(-6 + 1 + 4) - 3 - 3 + 5)*(-1 + 2 - 3))*(-2*r + 3*r + r).\nAnswer: 102*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1997 + -15973\/8. Let j = -9 - -6. Put 1\/6, m, j in ascending order.\nAnswer: j, 1\/6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 43 - 41. Let v(y) = -y**2 - 4*y + 2. Let h(o) = 2*o**2 + 5*o - 3. Let u(q) = d*h(q) + 3*v(q). What is l in u(l) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 5*o, 0 = -2*f - 5*o - 9 - 12. Let q = 1 - f. Calculate the remainder when -4 - -2*(-3)\/(84\/(-161))*2 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/71205 and 21\/3055.\nAnswer: 925665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2.186*-0.074\nAnswer: -0.161764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 214693.9045 to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3 and 1148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(36)\/(sqrt(12) + (5*sqrt(192) - sqrt(12))))**2.\nAnswer: 3\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-2)\/192*(-28050)\/770 and 23\/352?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**4 - 105034*o**3 + 210061*o**2 + 315096*o.\nAnswer: o*(o - 105032)*(o - 3)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -23 + 9. Let b = v + 17. Suppose 2*h = -3*g + 5*g + 16, -4*h = -2*g - 22. Solve o = -h*m - 7, -2*o = b*m - 5*m - 18 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**3 + 3*f**2 + 2*f**2 - 4*f**2 - 2*f**2. Let v be l(-2). Suppose 5*m = -d + 13, -m = v*d - 5*m - 52. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 526770, 1053063, 1579354, 2105643, 2631930?\nAnswer: 3158215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1356899, 1356902, 1356905?\nAnswer: 1356908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9152 and 176.\nAnswer: 9152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the second derivative of -a**6\/45 - a**5\/15 - a**4\/18 + 3*a. Solve m(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v - 254 + 4998. Suppose -v = -23*b + 1607. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from {i: 1, x: 18}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -13.030056 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the first derivative of -h**4\/4 - 2*h**3 - 4*h**2 - h - 25. Does 47 divide r(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -65*o - 49. Let c be (-2 - (-5)\/2) + (-18)\/4. Is l(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 694366611?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1331 and 1760?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 77 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 186774 + -116965. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -585483, -585510, -585537?\n\"Answer: -27*o - 585456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -157\/20280 and -151\/12212616?\nAnswer: 61063080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 + 8.5. Suppose -2*i - 2*i = b - 22, 0 = 2*b + 3*i - 24. What is the nearest to -2 in -1, w, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bxb when three letters picked without replacement from {b: 9, x: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 6652104.2 - -0.3?\nAnswer: 6652104.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 931523596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 15860646 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -85*l**2. Let s(i) be the third derivative of 7*i**6\/360 - 31*i**3\/6 - 26*i**2. Let p(y) be the first derivative of s(y). Calculate 2*h(r) + 25*p(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 take away 49508921.754?\nAnswer: -49508935.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 17 - 4. Let o be 923\/((-36)\/(-48) - b\/12). Let h = o + 4052. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the second derivative of 5*k**3\/6 - 3*k**2 - 6*k. Let a be u(6). Suppose 3 - a = -w. Solve -w = 2*h - 5*s, -3*h + 2*h - 23 = -5*s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -15 + 13. Let x = 20 - 62\/3. Let o = -139\/111 + -3\/37. Put p, x, o in decreasing order.\nAnswer: x, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*t**2 + 6*t**2 + 2*t**3 + 6*t**2 in the form g + s*t**3 + x*t**2 + h*t and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 11730\/16 - 3\/24. Suppose 494 = 2*v - 2*q, 3*v - m = 17*q - 16*q. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*w - 115*s + 26 = -111*s, 0 = 2*s - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1505 a factor of 180043036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7*((-2)\/(-10))\/(156\/(-1560)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/20712 and -143\/48.\nAnswer: 41424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5257*g**2\/2 + 5253*g\/2 + 2.\nAnswer: -(g - 1)*(5257*g + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -356537\/36 + 9905. Find the common denominator of -11\/48 and q.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {d: 2, h: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 75110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q. Let t(z) be the second derivative of -z**6\/720 - z**4\/12 - 3*z. Let i(m) be the third derivative of t(m). Calculate i(y(v)).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 165861*h**3 + 165868*h**3 + 165865*h**3 - 497591*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 - -5. Suppose -4*t - 4*j + 4 = 0, -2*j - 7 = -4*t + 3. Suppose t*b - 27 = -b. Calculate the smallest common multiple of b and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.01 - 20118.07013\nAnswer: -20118.06013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-31)\/((-1674)\/234))\/((-3)\/(-9))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -109  (b) 3\/21770  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 49 = 216. Let g = -44 - m. Let x(t) = -t**2 + 2 + 2*t + 0*t + 4 - g. What is x(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from {t: 1, v: 3, s: 2, w: 7, x: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 105638976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5565669 = 2*p - 11553499. Suppose 3*z + 9790428 = -5*o - p, -3*z = -2*o - 7339988. What is o rounded to the nearest 100000?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -5*o + 2*o + 3, -2*v + 5*o + 2 = 0. Let l be (-4)\/2 - 1\/(-2). What is the nearest to v in l, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 100 is divided by 41.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 4*i - 7 = -0*i, -w + 5*i = -13 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -101100 (base 2) to base 16\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101021111 (base 3) to base 16.\nAnswer: 1d44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -52, 5, -4, 3 in increasing order.\nAnswer: -52, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 13\/4 of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-14 - -14) + 605 + 1. Let u = -594 + m. Suppose 2*b + z - 6 = -1, 2*b = 4*z + 10. Calculate the highest common factor of u and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4531 divided by -23?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 119684.678 + 0.19?\nAnswer: 119684.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 9) in base 2?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 377 divided by -46798?\nAnswer: -377\/46798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2067393175.\nAnswer: 5, 661, 125107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 divided by -179?\nAnswer: -32\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-295)\/(-95) + 4\/152*-4. Solve -3*h = -m, 5*x + 0 - 1 = -h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4 and (-3)\/8 + 1304\/64?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3114 + -132224?\nAnswer: -140343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -324, -346, -360, -366, -364, -354?\n\"Answer: 4*s**2 - 34*s - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 34658, 69333, 104010, 138689, 173370, 208053, 242738?\nAnswer: 277425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 781 + -778. Solve 0 = -j*b - 9, -5*n + 13*b - 9*b = -7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/i**(-2\/3)*i)\/i)**(2\/119))**(-28) assuming i is positive.\nAnswer: i**(-40\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1245 (base 13) to base 12.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:20 PM and 2:56 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*b = 3*h + 26*b - 321, 2*h = 2*b + 214. List the prime factors of h.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 32, 219, 514, 917?\n\"Answer: 54*c**2 + 25*c - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m\/(m**(-25)*m)*m**(1\/13)\/m)**39 assuming m is positive.\nAnswer: m**978","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b + 5. Let u(j) = -j + 1. Let y be u(-3). Let k = y + -4. Let v(r) = 5 - 1 - r + k*r. What is 4*n(d) - 5*v(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 times -12406981?\nAnswer: 86848867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 9 times -1677485\nAnswer: -15097365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1926 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*f + 54*f - 23*f.\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*q**3 + 0*q**3 + 5*q**3 + (-2*q + 7*q - 2*q)*(3*q + 2*q - 2*q)*(-12 + 12 - 2*q) + 2*q**3 - 3*q**3 - 3*q**3 to i + l*q**3 + n*q + s*q**2 and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the third derivative of f**6\/24 - 11*f**5\/12 - 10*f**4\/3 + 800*f**3\/3 - 289*f**2. Factor k(m).\nAnswer: 5*(m - 8)**2*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2037.57*0.09\nAnswer: 183.3813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*t - 7*t + 0*t.\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -2706 divided by -3\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - 184 - (-11958 - -11818)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 23*s**4 - 3*s**2 - 43*s - 3. Let p(y) = 45*y**4 - 7*y**2 - 86*y - 7. Let j(a) = -7*l(a) + 3*p(a). Find the second derivative of j(i) wrt i.\nAnswer: -312*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6569849 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0*(-1)\/3 + 3. Let q(a) = -a**3 + 3*a**3 + 14 - 8*a**2 - z*a**3 - 3. List the prime factors of q(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(-4) + 12 + (-108390)\/(-40) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -252*j = -254*j - 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -52, -115, -186, -265?\n\"Answer: -4*o**2 - 51*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 0*d - 8 = 2*d, 2*y + 2*d = 0. Suppose b = -y*q + 54, 3*q = 3*b + b - 183. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w. Let b(m) = 2*m + 3*m**2 + 2 - 4*m**2 + 0*m. Let v(g) = 15*g**2 - 33*g - 33. Let d be 1\/(-2)*(4 - 0). Let z(u) = d*v(u) - 33*b(u). Give z(h(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 18183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**3 - 2*c**2 - 2*c + 2. Let f be u(2). Sort 4, 10, f.\nAnswer: f, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 424365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 167877166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g**3 - g**2 - g. Let j(i) = -26*i**3 + 6*i**2 + 5*i. Give j(m) + 6*o(m).\nAnswer: -32*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 394423603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.5 - -3.9. Let p = -0.1 + 0.6. Let w = p + -0.5. Which is the nearest to -5?  (a) w  (b) z  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 192847 < 192863?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 33241 - 33239. Determine l, given that -5\/12*l**3 + 1\/12*l**4 + 1\/4*l**z + 5\/12*l - 1\/3 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 5*p - 56. Calculate m(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2575448 = 5*k + 24552. What is k rounded to the nearest 10000?\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 176 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4733495776?\nAnswer: 2, 17, 8701279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 720\/(-20) + -2 + 56\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 4 = -0*d. Suppose -2*o - 4*y = -y - 15, -d*y = -o - 3. Solve 0 = -z - 2*s - 5, 5*s - o = 6*s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the second derivative of -7*r**4\/108 - 925*r**3\/54 - 22*r**2\/3 - 5838*r. Suppose b(m) = 0. Calculate m.\nAnswer: -132, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 141800665?\nAnswer: 5, 31, 914843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o\/(o*o**(1\/6))*o*o**(1\/5)*o*o**5*o*o**(-1\/6) assuming o is positive.\nAnswer: o**(133\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 90*(2\/(-4)*-1)\/((-12)\/8)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**2 + 6*z - 3. Let c(t) = t**2 + 6*t - 3. Let b(f) = -3*c(f) + 4*s(f). Is b(-7) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-36)*-6)\/((-6)\/24)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1105.52?  (a) 3\/4  (b) 1  (c) 3  (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/20 and -29\/48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*k**4 - 2*k**4 - 3*k**4 + (0*k**3 - 2*k**3 + 0*k**3)*(-2*k - 4*k + 4*k) - 104*k**4 - 212*k**4 - 54*k**4.\nAnswer: -368*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*q + 9*q + 7*q)*(-2*q**3 - q**3 - q**3).\nAnswer: -48*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 4*x + h - 19560, 0 = 5*h. Calculate the greatest common divisor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 121449*q*x**2 + 4*q*x - 3168*q wrt x.\nAnswer: 242898*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 52*b + 65. Let z(j) = -j - 5. Give -2*c(l) - 22*z(l).\nAnswer: -82*l - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the first derivative of 3591*i**4\/4 - 2600*i**3\/3 - 5714. Find the third derivative of x(o) wrt o.\nAnswer: 21546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 16831145 from -58913.\nAnswer: -16890058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -146*u**2 + 5*u + 11. Let x(d) = -d. Give x(b(g)).\nAnswer: 146*g**2 - 5*g - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 42113 = d, -22162 = -w - 3*d - 1098. What is w rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the second derivative of -3*r**4\/2 + 497*r**3\/2 + 249*r**2\/2 + 772*r. Let w(q) = 0. Calculate q.\nAnswer: -1\/6, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 100*d**2*i**2 + 8*d**2*i + 356*d**2 - 1097541*d*i**2 + 2*d*i - i**2 wrt d.\nAnswer: 200*i**2 + 16*i + 712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -5*o**3 - o**2 - 14*o - 13. Let a be g(-1). Let l(r) be the first derivative of 0*r - 1\/9*r**3 + 0*r**2 - 1\/15*r**a + 1\/6*r**4 + 2. Factor l(j).\nAnswer: -j**2*(j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 7910*r - 47355. Determine s(6).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/7 in 5, 0.1, -215, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 16571*x - 94. Let l(a) = -11048*a + 67. Calculate -5*f(o) - 7*l(o).\nAnswer: -5519*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5, -24, -71, -142, -243, -380, -559, -786?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**3 + 118*g**2 + 2*g + 1. Let h(k) = -6*k**3 + 587*k**2 + 11*k + 5. Give 2*h(o) - 11*n(o).\nAnswer: -o**3 - 124*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -38*c*x**3 - 3595366*c*x*y - 9*c*x + 28*x**3*y + 35995*x**3 wrt y.\nAnswer: -3595366*c*x + 28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 43 - 1. Let c be (g\/5)\/(14\/35). What is the highest common factor of c and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 5*u - 66, -12 = -2*u + 5*g - 7*g. What is the highest common factor of 290 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 - 24 - (-11 + 1) - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-3 + 5 - 1)*(0 + 1 + 1) + 1 - 5 + 1)*(2*g - 4*g - 2*g) to the form p + u*g and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -4*l**2 + 8*l + 12. Let j be n(3). Solve 0*p + 2*p - f + 2 = j, 2*f = -5*p + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -28?  (a) -16.8  (b) 49287  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 4*l - 5*a - 4, -2*l - 4*a + 38 = 0. What is the remainder when 65 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 800439 > 800765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 48.5057841 to 0 decimal places.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h and 1 k when four letters picked without replacement from {k: 4, g: 1, h: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/(-1) + (-11)\/((-99)\/(-63))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3472434*c**3*u**2 - 3*c**2*u**2 + c**2*u - 31*c**2 - 10*u**2 - 19*u wrt c.\nAnswer: -20834604*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -114*c + 96*c - 126. Let b(v) = -2*v**2 - 10*v - 5. Calculate b(c).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000185513652 rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3166757?\nAnswer: 11, 287887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 n, and 1 c when three letters picked without replacement from njbnnckbnjjcjujnu?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -693 - -366. Let k = n + 326. Which is the biggest value?  (a) 2\/19  (b) -2.1  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3945463 and 929?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 5  (b) 6  (c) -1\/5  (d) -774\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 297700*u**2 + u**3 - 2744 + u**3 + 2744.\nAnswer: 2*u**3 + 297700*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - -650029238421.\nAnswer: 650029238423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, r: 2, w: 7}. What is prob of picking 2 w and 1 g?\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(3*sqrt(68) + sqrt(68)))\/(sqrt(4) + (sqrt(144) - (sqrt(144) - (sqrt(144)*2 - sqrt(144)))) + sqrt(144) + sqrt(4)).\nAnswer: 6*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 3*t + 37. Let m be 11\/5 + (-1)\/5. Suppose 0 = -2*g + m*w + 22, 4*g - 3*w - 40 = -0*w. What is the smallest common multiple of r(-9) and g?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*l\/l**(-2\/13))\/(l*l**(-3)*l))\/((l*l**(1\/6))\/(l*l**2)))**(-2\/7) assuming l is positive.\nAnswer: l**(-389\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1218 a factor of 7043357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -100304 - -1?\nAnswer: -100303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.948754 + 0.95. What is s rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20, -100, -240, -446, -724?\nAnswer: -1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + -1 + (1 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/(-9) - (-19)\/3. Suppose 7*w - 3 = l*w. Suppose 5*s + q - 131 - 117 = 0, w*s - 5*q = 160. Calculate the remainder when s is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2227992 rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v - 5*v**2 - 4*v + (-3 + 3 - 2*v)*(-3*v + v + 3*v) - 5*v**2 + 2 - 2)*(-528240 - 1102*v + 528240).\nAnswer: 13224*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5754 divided by -5779.\nAnswer: 5754\/5779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*t**2 + 10*t - 175 = 0. What is t?\nAnswer: -7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0.5874*0.287\nAnswer: 0.1685838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + 11 + -11 + -6?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1790.\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/8  (b) -20  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 1000000 (base 2) to base 16\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -5*s + 131. Let w be b(27). Sort -1, -5, w, -3 in ascending order.\nAnswer: -5, w, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4555 - 1895. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 2*b + 92 + 811 = 0, -3*b = 18. Calculate the highest common factor of g and 600.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.6, -2\/7, 4\/7, -0.05?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 2\/9  (b) 4  (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 7*l + 79. Let d be p(-26). Let a = d + 200. What is the remainder when a is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76608 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9\/79 - 77\/711. Which is the nearest to 2?  (a) q  (b) -2\/21  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*f - 20 + 84. Sort f, 5, -4, 2.\nAnswer: -4, 2, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 327 and 1417?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - 8 = 5*k, 0 = 2*u + 2*u - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -26*o + 25*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -13413 (base 6) in base 3?\nAnswer: -2212200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3652609.\nAnswer: 3652609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -41*z**3 - 12*z**2 - 21*z - 8. Let h be b(-4). What is h rounded to the nearest one hundred?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/480 and -85\/144?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.101 + 2.101. Sort 3\/4, o, -3, 5 in descending order.\nAnswer: 5, o, 3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -23*u - 27*u - 21060 + 81060. Calculate the lowest common multiple of u and 22.\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 30632 + -30520. Which is smaller: 123 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-12 + 8168 + -1)*(-24)\/(-20).\nAnswer: 2, 3, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/5  (b) -2\/21  (c) 8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 2*c + 18 = 0. Suppose 0 = -c*j + 3*j + 9. Suppose 4*r - 35 + j = 0. Calculate the remainder when 23 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**2 + 11*x + 6. Let k(i) = -11925*i**2 - 2674*i + 48. Let g(n) = -k(n) + 8*m(n). Find the second derivative of g(d) wrt d.\nAnswer: 23834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 404\/285*7\/(-76). Let m = 1\/361 - o. Let v = 235 - 236. Is v bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 5*r**2 + 4*r + 3. Suppose 0 = -5*k + 3*n - 16, 3*k + 0*n = n - 8. List the prime factors of u(k).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 22\/(-126) + (-99)\/891. Which is the third biggest value?  (a) -0.4  (b) p  (c) -55  (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 11 = 4*f - 2*j, 4*f - j = 5. Suppose 3*z = 5*s + f*z - 19, 4*z - 8 = -s. Suppose 0 = 2*n - 2*x - x - 9, -s*n = 2*x + 6. Solve -y = -n*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12822836 by 154492.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5270470122 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-376)\/(-282))\/((-10 - 8899\/(-891))*-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 9*q - 10 = 0. Suppose -3*g + q*g = 0. Solve -h - h + 3*w - 21 = 0, g = 3*h + w + 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -8890, -17781, -26664, -35533, -44382, -53205, -61996, -70749?\n\"Answer: d**3 - 2*d**2 - 8892*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.05906 and 3?\nAnswer: 3.05906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39 - 252*t**3 + 19 + 20 + 35*t**3.\nAnswer: -217*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 28625 + -20112. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = w - 4*p, -4*w + 3*p + 3 - 11 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1146 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -3*g - 5*p, 19 = 7*g - 2*g - 3*p. Suppose -g*z - 2*z = 0. Which is greater: -0.02 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1087370?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 35\/6, 0.5, 1, -3 in increasing order.\nAnswer: -3, 0.5, 1, 5, 35\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*4*(-2*sqrt(180))**2.\nAnswer: -2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 529*o**2 - 60*o - 32. Is b(-4) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**2 - 10*a - 2. Let t(i) = i. Let n(s) = m(s) + 4*t(s). Let h be n(-5). Suppose 4*l = 2*x - h*x + 132, -5*x + 99 = 3*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*y + 45\/2*y**2 + 27\/4*y**3 + 18 + 3\/4*y**4 = 0. Calculate y.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -27\/107 in 1\/7, 0.3, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 a factor of 122010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 448 + -823. Let v = r - -641. Does 39 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**2\/5 + 14*z\/5.\nAnswer: -2*z*(z - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17191927 is divided by 1082?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**2 - 20 + 20 - 7*c**2. Let o(g) = -1634*g + 543*g + 549*g + 547*g. What is b(o(d))?\nAnswer: -200*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-8))\/(6*9\/8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 558 and 1079544?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 26690 and -88957.\nAnswer: -62267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the first derivative of -7*u**5\/20 - 17*u**4\/12 - 41*u + 29. Let h(b) be the first derivative of k(b). Find the third derivative of h(q) wrt q.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -461 - -263. Let p = -198 - t. Solve -l = 5*i - p*l - 10, -l - 14 = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4 - 4)*2\/(-4). Suppose 0*q + 2*q - 54 = -3*n, q + n - 29 = s. What are the prime factors of q?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 18701.77 centuries?\nAnswer: 187017.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3e + f?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 6.7613, -28, -1\/4, -3\/7 in ascending order.\nAnswer: -28, -3\/7, -1\/4, 6.7613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 13140 and 81.\nAnswer: 118260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**2 + 2*q + 20. Let v be c(0). Let d = 23 - v. Suppose -3*j = d, 4*x - 137 = 2*x - j. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1324140 - -1032?\nAnswer: -1323104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 1773728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -114*g**4 + 159*g**3 + 15009*g**2 - 5946*g - 792 = 0.\nAnswer: -11, -2\/19, 1\/2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 104 + 6 - 122 + 31*w + 12. Let t(o) = -9*o. Calculate t(z(v)).\nAnswer: -279*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 948483?\nAnswer: 3, 35129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 51 - 51. Let r be (2\/4 - t)*(12 - 4). Suppose 3*s = r*s - 156. What is the greatest common divisor of 39 and s?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12347441\/112 + -110246. Calculate the common denominator of -31\/56 and y.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) 0.5  (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 535 + -521 + 0 + -6 - 31.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/15*(81\/(-228))\/9.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5 + 4.99. Let c = 0.25 + y. Let v = 0.04 - c. What is the biggest value in 1, v, 4\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the third derivative of g**6\/24 + g**5\/30 - g**4\/12 + g**3\/6 + 2*g**2. Let f be (-36)\/24 + (-14)\/(-4). Suppose -y = f - 3. Give i(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = -31 - 4. Let h = c + 9. Find the third derivative of 5*b**h - 4*b**6 - b**2 + 0*b**2 wrt b.\nAnswer: -480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1691160*t**5 + t**2 + 11*t - 22 wrt t.\nAnswer: 101469600*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 66105477 and 29380212?\nAnswer: 264421908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -210584534*c**3*m**2*t + 2*c**3*t - 68*c**2*m**2*t - 2652*c**2*m*t - 10*c**2 - 2*c*m**2 wrt c?\nAnswer: -1263507204*m**2*t + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -58*p. Let d(t) = -192*t**2. Calculate d(c(i)).\nAnswer: -645888*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 244 a factor of 961824332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 937?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, o: 3}. Give prob of sequence dd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the third derivative of 0 + 1\/48*s**4 + 1\/240*s**6 - 6*s**2 + 0*s + 0*s**3 + 1\/60*s**5. Find a such that g(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 112\/2688*16\/(-9)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:16 PM and 3:28 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let -y + 1\/2*y**2 - 3\/2 = 0. What is y?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13754000 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 144 a factor of 377540496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b + 2*u - 2164, 4*b + 865 = 6*b + u. What are the prime factors of b?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 8:38 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -c**4*u**3 - 82*c**3*u**3 - u**3 - 29*u wrt c?\nAnswer: -4*c**3*u**3 - 246*c**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1185954*q**2 + 1185912*q**2 - 2371879*q**2.\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**3\/19 - 308*x**2\/19 - 2*x\/19 + 308\/19.\nAnswer: 2*(x - 154)*(x - 1)*(x + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1538*j**2 - 1 + 1639*j**2)*(-j + j + 8*j).\nAnswer: 808*j**3 - 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -146*u + 5616 = -29*u. Calculate the highest common factor of 4008 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 - -5b?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -2. Let k(v) = 97009*v - 4. Let n(l) = -2*k(l) - 14*x(l). Let p be n(2). What is p rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -37085880 by 2.\nAnswer: -18542940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0358 - -2.2456?\nAnswer: 2.2098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*w + l - 302 = -421, 4*w = 5*l - 38 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 2*r. Let b(m) = 14*m - 22*m + 8*m**2 + 8*m. Determine o(b(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the second derivative of -b**6\/90 + b**5\/6 - 2*b**4\/3 - 2*b**3 - 11*b. Let w(p) be the second derivative of l(p). Factor w(i).\nAnswer: -4*(i - 4)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 178*q**2 + 124*q - 117. Let j(m) = -65*m**2 - 42*m + 40. Let v(t) = 11*j(t) + 4*n(t). Calculate v(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 5*v + 171. Let p(i) = -29. Let h(o) = g(o) + 6*p(o). Let n(w) = 15*w - 8. Give -17*h(f) + 6*n(f).\nAnswer: 5*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from imm. Give prob of sequence imm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 11) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/420 and -104*14\/(-13776)*18\/(-140).\nAnswer: 17220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 155 - 340 + 183 - 4*o**4 + 5*o**2 - 160*o as w*o**2 + h*o**4 + p*o + z*o**3 + u and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 20*d**2 + 1 - 18*d**2 as b*d**2 + y + z*d and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sum -7028 and 1958.\nAnswer: -5070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1.58  (b) -0.3  (c) -0.2  (d) -3867\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*j**2 + 5*j**2 - 4*j**2 + (0*j + 0*j - 2*j)*(-3*j + 2 - 2) - j**2 - 3*j**2 - 4*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -65534805, -65534789, -65534773, -65534757?\n\"Answer: 16*d - 65534821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 230101392 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/217 in 0.5, -314, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8\/91 - 16788\/91. Let h = 22703\/126 + o. Let a = -534\/55 - -30119\/2530. Find the common denominator of h and a.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((w*(w**(2\/25)*w)\/w*w)\/w)\/(w*w**(2\/5)))\/(w**1)**47)**(-2\/39) assuming w is positive.\nAnswer: w**(182\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11663659, 11663660, 11663661, 11663662, 11663663, 11663664?\nAnswer: 11663665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 5 + (-1 + (3*sqrt(396) - sqrt(396))*-5 - (-1 + sqrt(396)*-3 + 1)).\nAnswer: -42*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**2. Let u(w) = -2*w**2 + w + 1. Let m(v) = 4*v + 7. Let s(k) = -5*k - 6. Let z(h) = -3*m(h) - 2*s(h). Let a be z(-4). Give a*u(x) + b(x).\nAnswer: x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8)\/(-12) - (-2)\/6. Let y = -11301 - -11298. Which is the closest to p?  (a) 34  (b) -1\/3  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4.7 + 7.3. Which is the biggest value?  (a) p  (b) -3  (c) -0.5  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 139836*y - 139832*y - 44 = 0 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -349 - -17451\/50. Let y(s) be the third derivative of 2*s**2 + 1\/200*s**6 + 0*s + 1\/40*s**4 + 0 + c*s**5 + 0*s**3. Determine g, given that y(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 7749799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 136649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes after 4:37 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -167553*g**3 - g**2 + 879605 wrt g?\nAnswer: -502659*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 345443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*5*(sqrt(76) - (sqrt(76) + 1 + sqrt(76))*4)**2.\nAnswer: 3360*sqrt(19) + 112200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36\/(-54)*(-12)\/(-10).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17)*3*-2*-6 + -1 + sqrt(153)\/(-4*sqrt(9)).\nAnswer: -1 + 143*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.00675593063+0.066\nAnswer: 0.05924406937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**2 + 13905*y - 83322.\nAnswer: -3*(y - 4629)*(y - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0.413856*-0.1\nAnswer: -0.0413856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/(12\/26) + (-73)\/146. Solve 0 = 2*m - w*m + 2*x - 20, -x = m + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 2*b + 1, 0 = -4*h + 5*b + 4 - 12. Let v = 77 - 75. Suppose -v*s + 9 = h. Sort 2, s, 1.\nAnswer: 1, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23 (base 4) to base 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -63528610 divided by -63528610?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**2 + 13286*i + 7511016.\nAnswer: -2*(i - 7167)*(i + 524)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 100250, 200480, 300694, 400892?\nAnswer: 501074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 9*a**2 + 6. Let b(v) = v**2 - 9*v**2 + 36 - 41. Let i(u) = -u + 8. Let h be i(7). Suppose -c = -h - 5. Give c*b(o) + 5*n(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/p**(-4)*p\/p**(-1)*p**(1\/3)*p\/(p\/p**(-7))*p assuming p is positive.\nAnswer: p**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 1 e when three letters picked without replacement from {h: 4, e: 4, t: 6}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -7 + 3. Let m be v*((-3)\/(-4) + 0). Put m, 2, -5 in decreasing order.\nAnswer: 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (48\/8)\/(-18)*(-2)\/(-2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*q**3 - 28*q**3 + 9*q**3 + (-2 + 2 + 1)*(-q**3 + q**3 - 2*q**3 + (5*q - 5*q - q**2)*(q - 4 + 4)) - q**3 - 3 + 3.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -25117 - -5651308\/225. What is the common denominator of -5\/6 and l?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 5*l**2 + 2*l - 2. Let p be n(1). Let c(m) = 4*m + 7. Determine c(p).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -32*v + 8. Let i(g) = g - 1. Let a(d) = -8*i(d) - k(d). Let t be a(-2). Is 18 a factor of (t\/20)\/((-2)\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*p = -2*r - 6*p + 4, 5*p - 2 = -r. Solve 0 = -3*z + 4*k, -10 + 0 = z + r*k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(42)\/(sqrt(6)*-2) - (3*sqrt(7) + -3))**2.\nAnswer: -21*sqrt(7) + 371\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1234.\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -288  (b) 1  (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 26\/10 + (-6)\/(-15). Suppose -a + 8 = i*a. Suppose -2*y + 5*b + 76 = 2*y, -2*y - a*b = -20. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/((-2)\/16*-1). Let t be n\/28 + (-2)\/(-7). Solve 4*m - 3*x + 10 = t, -2*m + 4*x - 10 = -0*x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2297837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -25 + 5. Let k = g - -19.32. What is k rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 117*c**3 - 4*c**2 + 4. Let a(v) = 15914*v**3 - 545*v**2 + 545. Calculate -4*a(n) + 545*x(n).\nAnswer: 109*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.2, 2\/17, 1\/4, 1\/8, -4\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(76)*-2)\/sqrt(4) - (-1 + sqrt(228)\/sqrt(3)).\nAnswer: 1 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the second derivative of -23*f**5\/20 - f**4\/6 - f**3\/2 + 3*f**2\/2 + 7*f - 3. What is the second derivative of u(v) wrt v?\nAnswer: -138*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -22618.47 to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4408833892 to the nearest integer?\nAnswer: 1640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((u*u\/((u\/(u**(-2)\/u)*u)\/u))\/u)\/u)\/u**(7\/6))\/((u**1*u)\/u)**(2\/47))**(-21) assuming u is positive.\nAnswer: u**(10283\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.1, 0.3, 3, -9176, -9, 2, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(99))**2*4.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -972*g + 286*g + 126*g + 284*g + 278*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1143 (base 9) to base 4.\nAnswer: -31101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b + 7 - 18. Let c = b - 12. What is the units digit of 7 - -2*c\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2 - 3*y - 6. Let d be r(-2). Suppose -d*c + 0*c = -308. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from umppwvupmmvvmvvpumpw. Give prob of picking 1 u and 1 v.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2105, -2181, -2257, -2333?\nAnswer: -2409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27198 is divided by 253?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -163843\/1397898 - 2\/25887. What is the common denominator of -67\/135 and s?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 t when two letters picked without replacement from ototoooqq.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m + 0*m - 8 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15833?\nAnswer: 71, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 20 = -3*h. Suppose 0 = -6*y + 4*y - h. List the prime factors of (4\/y)\/(1\/(-9)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**3 - 5*j**2 + 8*j - 6. Let x be (-46)\/(-4) - 4\/(-8). Suppose 5*v - 15 - x = -2*k, 0 = v - 5*k. Is o(v) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 239\/(2*1 + -1). Let w be (10\/(20\/1099))\/((-46)\/(-20)). Let q = w - h. Is q at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 0*j - 9 + 8 - 14 - j. Let d be a(2). Let b = d + 35. What is the remainder when 88 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(20)*-1)**2 + -3)*-2*-5 + ((sqrt(150)\/sqrt(20))\/(sqrt(42)\/(-1*sqrt(7)))*5)**2.\nAnswer: 805\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1916, -2662, -3408, -4154, -4900, -5646?\nAnswer: -6392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5778 by -5778.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 3*x + 8. Let j(k) = -1. Let q(t) = h(t) + 5*j(t). Let y be q(-2). Let i be (-5 - y)\/(-2) - 0. Sort 5, i, -4 in descending order.\nAnswer: 5, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 + -77 + (-34 - (-4 - -10)).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10266 + -10245. Solve f*a - 280 = -19*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1720693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -43 or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((r*r\/(r\/r**(-13)))\/r**(3\/5))**33)**(3\/37))**(-4\/11) assuming r is positive.\nAnswer: r**(2268\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 1 + 1 + 7 - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 122358064 is divided by 1742?\nAnswer: 1726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -51 + 5*y**3 + 19 + 30 - y**2 + 0*y**3 - 2*y in the form z*y + f + s*y**3 + j*y**2 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -4, -3*x = 4*s + 2*x + 12. Suppose -s = 5*i + 3. Let g = i + 4. Calculate the highest common factor of g and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.3 + -0.1. What is the nearest to -1 in 0.3, 0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/9 + 26\/(-36) + (-34237)\/(-134). Calculate the greatest common factor of 3390 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 158853222?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4041078912?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 68732 divided by -4?\nAnswer: -17183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the third derivative of 0*g**6 + 1\/8*g**4 - 14*g**2 + 0*g + 0*g**7 - 19\/336*g**8 + 0 + 0*g**3 + 0*g**5. What is the second derivative of d(n) wrt n?\nAnswer: -380*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**2 - 2139*w - 15061. What is g(-7)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**2. Let d(i) = -600*i**2 + 6. What is d(l(u))?\nAnswer: -600*u**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l - 6. Let y be z(6). Suppose 12 = 4*m - y. List the prime factors of -9*m\/((-9)\/4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2 - -10) + (-3)\/3. Suppose i*a - 4*a + 666 = 3*j, -230 = a - 5*j. What is a rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -52*w**2 + 3*w - 3. Let g(r) = 138*r**2 - 8*r + 8. Let v(j) = -8*c(j) - 3*g(j). Let t(d) be the first derivative of 11*d**3\/3 + 1. Calculate t(v(y)).\nAnswer: 44*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-8)\/(-4)*((-123)\/(-6) + 1). Calculate the greatest common factor of b and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -772 - -b192?\nAnswer: a720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = 3*g - 51, -18*g + 5*x - 21 = -15*g. Let f(u) = -11*u**3 - 5*u. Let h(y) = -17*y**3 - 8*y. Calculate g*f(p) - 5*h(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -5*j + 267, -3*d + 2*d + 2 = 0. Let b = -72 + 171. Calculate the greatest common divisor of j and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 6*u. Suppose k - 1 = 2. Let j(a) = -3*a - a + k*a. Determine j(c(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 5)*(-2*t - 8*t - t)*(-5*t**2 + 2*t**2 + 2*t**2).\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + -1 + (64 - 67).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 4 = w. Let c = 105\/4 - 28. Which is greater: c or w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes after 5:55 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.34682997 from 2.\nAnswer: 1.65317003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 26759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -20 + 42. Suppose 3*y + 2*b - 14 = 0, -b = 2*y - 5 - 5. What is the lowest common multiple of y and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the first derivative of y**4\/4 - y**3 - 8*y**2 + 9*y - 45. List the prime factors of h(6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -a - 4, -a = -q + a + 6. Suppose o + 4*n - 60 = -390, 0 = -2*o + n - 696. Let p = 376 + o. What is the greatest common divisor of q and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n = 4*x - 24, 51*n - 20 = -3*x + 47*n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -252 equal to -251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6534 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 10210516, 20421021, 30631526, 40842031, 51052536?\n\"Answer: 10210505*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 38, 67, 96, 125, 154, 183?\n\"Answer: 29*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**2 - 2*q**2 + 2*q**2)*(-2 - 2*q + 2) + 33*q**3 - 44*q**3 + 31*q**3 - 2*q + 2*q - 3*q**3 - 2*q**3 - 6*q**3 + 3*q**3.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7066 divided by 116.\nAnswer: 3533\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.2 times 325?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 5*c = 73503, 0 = 3*f - c - 18208 - 36886. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*x + 18*x**3 - 4080*x**2 + 2*x**4 + 12227*x**2 + 2 - 4072*x**2 - 4073*x**2 to i*x**2 + t*x + l*x**3 + p + n*x**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 4 - 10*i - 2 to the form k + l*i and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 36 = -2*j, 4*j + 52 = 425*l - 429*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -28*w**2 - w - 8. Let h(f) = 2264*f. What is k(h(x))?\nAnswer: -143519488*x**2 - 2264*x - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l + 311. Let o be f(0). Let m = -218 + o. Let i = m - -22. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**2. Let w(b) be the first derivative of -7*b**5\/30 + 5*b**2 + 24. Let m(r) be the second derivative of w(r). What is l(m(j))?\nAnswer: -196*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**2*s*s)**(-24)*((s\/((s*s\/s**(-1\/4))\/s*s))\/s)**28 assuming s is positive.\nAnswer: s**(-159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**2 - 3*k + 53. Let x(r) = -r. Determine f(c) - 2*x(c).\nAnswer: c**2 - c + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*p**5\/8 + 1527*p**4\/4 - 193545*p**3\/2 - 195075*p**2 = 0. What is p?\nAnswer: -2, 0, 510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jyhyfhm. What is prob of picking 1 j, 1 y, and 1 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 45, 356, 1205, 2862, 5597?\nAnswer: 9680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 2*w + 12. Suppose 0 = -x - 0*x - 2*i - w, -3*x + 4*i = -12. Suppose -2*o - 3*o + 5 = x. Solve -o = p + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10\/(-2) - (-4 - 123) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41080418 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1098\/84*22 - (-3)\/7. Let o = l - 172. List the prime factors of o.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1  (b) 7  (c) 2  (d) -56\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -25*u**4\/7 + 414780*u**3\/7 - 1719428724*u**2\/7 - 8260426656*u\/7 - 9915379776\/7 = 0?\nAnswer: -12\/5, 8298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -4*j - 2. Calculate m(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/24 and ((-155)\/(-20))\/((-60)\/(-8)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w + 6. Let a be b(4). Let f(c) = 3*c**3 - 4*c**3 + 48*c**2 - 51*c**a + 1 + 3*c. Calculate f(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**2 - 4*r - 3. Let b(j) = j - 10. Let p be b(14). Let m = p + 1. Suppose 28 = m*w - 2. Calculate s(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -28436488, -0.05, 0?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 - (2 + -8) - 0. Suppose 7600 = 2*i - h*i. Round i to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 167?  (a) -1  (b) 0.2  (c) 0.3  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -322*n**2 - 188*n**2 + 371*n**2.\nAnswer: -139*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -97048934, -97048930, -97048924, -97048916, -97048906, -97048894, -97048880?\n\"Answer: z**2 + z - 97048936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l - 3. Let c(i) = -i**2 - 5*i + 5. Let k be 3\/(-2) - 70\/20. Let y be c(k). Suppose -4*u + 3*u + o = 1, -3*u + y*o + 1 = 0. What is s(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -8*w**2 + 816*w - 744. Determine g(101).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*b - 15*b + 0*b to h*b + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, -132, -5 in decreasing order.\nAnswer: 5, -4, -5, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/6 and -79\/65648.\nAnswer: 196944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*c - 3*c**3 + 3*c - 11*c.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**3 + 11*r**2 + 9*r + 9. Let z(o) = -o**3 + 11*o**2. Let x be z(11). Suppose 0 = -4*b + 2*d - 30, 5*d = -b - x*b - 24. Is u(b) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 404 and 160?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**2 - 10*f + 14. Let z be r(13). Let q be (-2)\/(2\/(-1)) + z. Let k be q\/12 - 6\/4. Is k < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**2 - 13*v - 72. What is the tens digit of b(29)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(1\/2))**(-1\/31)\/(s\/(s**(-2\/7)\/s))**(-1\/28))**(-1\/34) assuming s is positive.\nAnswer: s**(-101\/103292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 + 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 849786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h + 4*h + 1. Suppose -3 = -y - 0. Let k = h + y. Solve 3*w - k = -5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 129\/4  (b) -2325  (c) 0.5  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 151\/138 and 43\/60?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:37 AM and 11:21 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 27*i - 5. Let p(h) = 40*h - 8. Calculate -5*p(t) + 8*u(t).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/1 + 2 + (-14924)\/(-4956) + -3.\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -2\/11  (b) -5  (c) -48  (d) -3  (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 9 + 8)*(-2*c + c + 0*c)*((-2 + 1 - 5)*(1 - 6 + 12) - 1 + 1 + 2 + (-2 + 3 + 0)*(-1 - 2 + 4) - 2 + 6 - 2).\nAnswer: 592*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 7\/9, -11, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 21 + -14. Suppose -o - 5 = -2*w, 27 = 5*w - o + u. Let t = w - 1. What is the greatest common divisor of 6 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*r - 109 = -73 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbteetbt. Give prob of sequence ttb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -16*1\/8*(-2)\/(-4)*-17519.\nAnswer: 17519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -70.9 + 71. Which is the closest to -0.1?  (a) x  (b) 2\/9  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 - -10) + (-2 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**2 + 7*b + 8. Let l = 26 + -18. Let z = 14 - l. Calculate v(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 24503 + -24503. Let s = -3.98 + -0.02. Which is the closest to h?  (a) s  (b) -3  (c) -6  (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 83*s + 64 - 90*s - 64.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24 + -16. Is (1*1\/(-3))\/(n\/(-25944)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 3\/2, -5, -4, -18.2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbqbbbbqqbqqbbqbbb. Give prob of sequence qq.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the second derivative of 0 + 0*i**2 + 0*i**4 - 2\/3*i**3 - i + 1\/4*i**5. What is the second derivative of g(b) wrt b?\nAnswer: 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = 180 - 129. Is l bigger than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 96 and 398688.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:22 PM and 9:14 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 5 + 13. Let v be s\/10*(9 - 4). Is 39\/(v - -4)*3 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 404, 5, -4, -2 in increasing order.\nAnswer: -4, -2, 5, 404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/2110 and -31\/87565.\nAnswer: 175130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 2*h**3 + 43*h**2 + 145*h - 146. Give t(-18).\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10*200.5.\nAnswer: 2005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 127\/204 and 32\/255?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes before 2:49 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 136 + 35 + -19 + -52 + -28.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 72 - 108. Is -38 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 13) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*i, 6*i = -w + 4*i + 79. Is w at least as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -8695401800 to the nearest 1000000.\nAnswer: -8695000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -32*i**2 - 4. Let k be t(-2). Is 29 a factor of (-50)\/(-20)*8\/(-10) - k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*n**3 - 3*n**3 + 7*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 4*r**3 + 5*r**2 + 7*r + 1. Let a = -4 - -1. Let n(i) = 2*i**3 + 3*i**2 + 4*i + 1. Calculate a*k(v) + 5*n(v).\nAnswer: -2*v**3 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes after 10:56 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ixaxaxdiax. Give prob of picking 1 i and 1 d.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-204)\/(-10336)*(-817)\/(-774).\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1715?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 832542199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*p - 8 - 12 + 3)*(3*p + p - 2*p)*(2*p - 2*p + 2*p)*(3*p + 0*p - p).\nAnswer: -40*p**4 - 136*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 23509*s + 6799. What is the ten thousands digit of h(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12873)\/147 + (12 - 15)\/(12 - 5)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 88\/10 + (-2)\/(-10). Let f be (2 + -8)*(-57)\/o. Suppose -5*z = -l - f, 3 - 1 = -z + 5*l. Solve -4*p + z*u = 3*u - 10, u = 5*p - 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -69\/14 and 59\/3838?\nAnswer: 26866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(11\/(77\/(-28))).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 2, p: 7, z: 11}. What is prob of picking 4 p?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4 + (1 - 1 - (-3 + 5)). Suppose o*z = 2*y + 20, 56 = -z + 6*z - 2*y. Calculate the smallest common multiple of z and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 + 3. Suppose -4*p - 20 = -0*p + 5*n, m = -4*n - 16. Solve p*b = 2*b - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72247711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -2. Let g(m) = -m**3 - 5*m**2 - 5*m + 8. Let p(n) = -g(n) - 4*w(n). Calculate p(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 24911 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2\/13 + 74*y\/13.\nAnswer: 2*y*(y + 37)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**2 + 4*m - 30. Let s be i(-8). Let x(p) = 41*p**s - 4*p + 1 + 31*p**2 - 73*p**2. What is x(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 7*b**2 - b + 6. Let v(x) = -20*x**2 + x - 18. Let c(t) = -11*m(t) - 4*v(t). What is the remainder when c(-7) is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 7644, 7533, 7218, 6597, 5568?\n\"Answer: -17*j**3 + 8*j + 7653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kas when three letters picked without replacement from {a: 2, n: 5, s: 1, p: 1, i: 6, k: 1}?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g - 2*f + 120 = -2*g, 0 = 5*g + f - 115. Let l = -14 - -92. Calculate the lowest common multiple of l and g.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wll when three letters picked without replacement from lgwl?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 740127120 rounded to the nearest 100000?\nAnswer: 740100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -229*k**2*s**5 + 250*k**2*s - k**2 - k wrt s.\nAnswer: -4580*k**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 7*n - 64 = 0, 3*n - 16 = n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-44 - -42)\/((-57)\/(-18) - 3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -29300 + -388?\nAnswer: -29688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.48 + -16.48. Which is the nearest to 0.1?  (a) 2  (b) -1  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/6)\/((-157)\/(-2355)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5826435.3 rounded to the nearest 1000?\nAnswer: 5826000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -6*w + 18. Let x be b(3). Suppose l + x = 61. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-28)*35\/25*5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l - 1. Suppose 0 = -o + 3 - 4. Suppose 6 = 3*y - y. Let s(j) = y + 27*j - 26*j - 1. Determine o*c(x) - s(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 11061, 44146, 99311, 176574, 275953, 397466?\n\"Answer: 3*n**3 + 11022*n**2 - 2*n + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2\/(-4 - 930\/(-231))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 + 3 - 54 + 16 + 6*y.\nAnswer: 6*y - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the first derivative of 3\/2*l**2 + 2*l + 1\/3*l**3 + 2. Factor d(n).\nAnswer: (n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, d: 1, m: 4, w: 3}. What is prob of sequence wm?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 244208243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p**3\/4 - 291*p**2\/2 = 0. What is p?\nAnswer: -194, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/1103148 and 29\/2390154.\nAnswer: 14340924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*l**3\/5 + 2736*l**2 + 219456*l\/5 + 878592\/5.\nAnswer: -3*(l - 4576)*(l + 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 3371.985 days?\nAnswer: 80927.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 3, -4, -0.1, -14, 97, -5 in increasing order.\nAnswer: -14, -5, -4, -0.1, 3, 4, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k - 30 = -2*m, 4*m + 47765 = -5*k + 47765 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 + -4. Let n = 0.09689 - 4.09689. Put s, 1, n, -2 in decreasing order.\nAnswer: 1, s, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 14*n**2 - 11*n + 11. Let h(p) = 5*p**2 - 4*p + 4. Let x(b) = 4*c(b) - 11*h(b). Let f be 6*2 + -76 + 61. Give x(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 117 = 4*k - 0*k, 5*k = -2*x + 85. Let q = x + 117. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 4*g + 61 = 5*t, 2*g - 4 = 0. Let o(j) = 11*j + 1. Let s be o(-1). Let r = s - -16. Calculate the remainder when t is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-30)\/(-8) - (24 - 19))\/(-2). Let g = -6.4 - -1.4. Which is the nearest to 1?  (a) 2\/13  (b) g  (c) 0.3  (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -5*y + 1. Let m(k) = 26*k**2. Give m(z(h)).\nAnswer: 650*h**2 - 260*h + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1941, -1930, -1913, -1890, -1861, -1826, -1785?\n\"Answer: 3*g**2 + 2*g - 1946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 - -6. Let z = -84103 - -84114. Calculate the lowest common multiple of m and z.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -2*f**2 - 8*f - 14. Let d be g(-7). Let v = d + 79. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the first derivative of 5*l**6\/2 - 15*l**2\/2 - 13. What is the second derivative of w(f) wrt f?\nAnswer: 300*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/3*4 + 1 + (-475)\/4275\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -212131 - 34?\nAnswer: -212220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 162 divided by -81\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 0*m + 0*m + 3*m**2. Let q(l) = -1. Let j(k) = k. Let r(t) = 11*t - 2. Let b(i) = -6*j(i) + r(i). Let s(h) = b(h) - 2*q(h). Give y(s(n)).\nAnswer: 75*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-15)\/((-4725)\/633) - 2. Let p(o) be the second derivative of -4*o + 0 + 0*o**3 + 0*o**2 - h*o**7 - 7\/75*o**6 + 8\/15*o**4 - 4\/25*o**5. Factor p(n).\nAnswer: -2*n**2*(n - 1)*(n + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand h**2 + 0*h**2 - 3*h + h + (-7 + 2 + 6)*(4*h**2 - 2*h**2 + 4*h**2).\nAnswer: 7*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 - 69 - 3*m**2 + 30 + 30 - 5*m.\nAnswer: -3*m**2 - 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2737.302 decades to centuries.\nAnswer: 273.7302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001245093 rounded to seven decimal places?\nAnswer: 0.0001245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72*h**3 - 76*h**3 + 145*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29282 divided by -121.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*p + 3*k = 4*p + 15, 4*k = -2*p + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -6 + 8565385*z - 4282695*z - 4282697*z. Let b(n) = -2*n**2 + 3*n - 2. Let i be b(2). Give r(i).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*y = 14*y - 5400. Calculate the least common multiple of 6 and (10\/6)\/((-20)\/y).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-400)\/(-30))\/((-168)\/(-42))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**3 + 3*u**2 + 15*u - 64. Let g be c(3). Sort g, -4, -3 in decreasing order.\nAnswer: g, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 156 and 2328?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 - -9)*1*3. Let t be (3 - 93\/o)*-4. Let y = -7 + 2. Which is the third smallest value?  (a) -0.5  (b) t  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 109 = 5*l, -124 = -4*l + z - 41. Suppose -3*x - 13*x + 48 = 0. Solve l = -u - x*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes before 8:18 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 728547540 divided by 4582060\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 32 - 66. Let p be (-3)\/q*8\/6. Let x = 0.0194 + -0.5194. Which is the second biggest value?  (a) -0.4  (b) p  (c) x  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k + 31. Let h = 4 - 19. Let s be u(h). Is 16 != s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -304102201 - 0?\nAnswer: -304102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 126792998*-4\nAnswer: -507171992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (53\/(-371))\/((-129)\/63 - -2). Solve -3*k + s = 2*t, 6*k - t - 18 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the second derivative of 11*u**5\/20 + 2*u**4\/3 + u**3\/3 + 13*u**2 + 111*u. Let c(i) = 4*i**3 + 3*i**2 + i + 9. Give -8*c(v) + 3*n(v).\nAnswer: v**3 - 2*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*l + 24*l + 2 - 7*l**2.\nAnswer: -7*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 13*t. Let g(x) = 7*x. Let v(w) = -6*f(w) + 11*g(w). Let c be (-1)\/(4\/(-16)*-4). What is the units digit of v(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 5*k - 80 = 0, 2*o - 5*k - 2 = 38. Let b(t) = -4 + o - 18. Let f(a) = a + 5. Let v(q) = 5*b(q) + 2*f(q). Let x(z) = -29*z. Determine x(v(s)).\nAnswer: -58*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -178 - -182. Let q(o) = 25*o + 34 - 46*o - o**2 + 17*o. Let a be q(i). Solve 4*d + 2 - 13 = g, -18 = -a*d - 2*g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes before 10:27 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 63610.421 to the nearest ten.\nAnswer: 63610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -1875*p**3\/4 - 675*p**2 + 1953*p\/4 - 147\/2 = 0.\nAnswer: -2, 7\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**3 + r**2 - 21*r - 49. Let h be p(-3). Let g be 3\/(3\/(-4)) - (h + 0). Put 3, 7, g in increasing order.\nAnswer: g, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**3 + 2*a**2 + a + 175. Let b be c(0). Let f = 82 + b. List the prime factors of f.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 2*q. Let n(j) be the third derivative of -j**5\/60 + j**3\/3 + 336*j**2 - 1. Calculate h(n(p)).\nAnswer: -2*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -3*w - 2*w + 5*p, -3*w - p = -14. Suppose -t = -w*t + 21. Solve 18 + t = 5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19588396249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -26*k - 7. Let y be t(-2). Let x = y - 35. Solve 0 = 2*o - x - 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (48\/80 - (-510)\/50)*100\/(-12)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4881379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**3 - 8*z**2 - 17*z + 2. Let p be c(10). Suppose p = 2*v + 10. Suppose 1850 - 299 = v*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -b + 4. Suppose -4*p + 3*u = -0*u - 2, u = -b*p + 8. Suppose -5*o + 5*l = -63 - 52, -116 = -4*o - p*l. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve g - 5*l = -14, -4*g - 50 = -3*l - 28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*j**4 - 124*j**3 + 20648*j**2.\nAnswer: -4*j**2*(j - 58)*(j + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-6*(sqrt(19) + 1) - (1 + sqrt(475)*2)) + -5*(sqrt(95)\/sqrt(5) + 2 - (3 + sqrt(19) + sqrt(19) + 5)).\nAnswer: sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -18 - -20. Suppose -s*q = -4*z - 0*q - 966, 4*q = 2*z + 468. Let d = z - -2200\/9. Is d < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16 and 472.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 212, 178, 152, 134, 124, 122?\n\"Answer: 4*x**2 - 46*x + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -7*d**3 + d**2 - 4*d - 6. Give z(3).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/12, 0.3, 2, 1\/3?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 6*x - 2*x + 60 = 0, 4*l + 5*x = -57. Let p be 8*(28\/l)\/(-7). Suppose -3*o - p*u - 9 = 0, 0 = -u + 6*u. Let m(z) = 2*z - 1. Calculate m(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 35 and 6188917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 163 + 73*s - 292 - 190*s - 353*s wrt s.\nAnswer: -470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the second derivative of -2*r**7\/21 - 2*r**6\/15 + 4*r**5\/5 + 4*r**4\/3 - 11*r. Let a(i) = 0. What is i?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5928812045.\nAnswer: 5, 13, 71, 179, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-74*f + 217*f - 68*f + 1 - 79*f)*((f + 2 - 2)*(-2*f + 0 + 0) - 3 - f**2 + 3 - 1 + 1 + 2*f**2 - 4*f**2 + 6*f**2 - 4*f**2 - 10*f + 10*f - 9*f**2).\nAnswer: 48*f**3 - 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9895*i**3 + 13*i**2 - 72*i - 4*i**4 + 9855*i**3 - 47*i**2 + 5*i**2 - 79*i**2 = 0. What is i?\nAnswer: -6, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (402*v**3 - 407*v**3 - 2*v - 4 + 9)*(-1 + 1 + v).\nAnswer: -5*v**4 - 2*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 203, -4, 3, 0, -3, -230 in ascending order.\nAnswer: -230, -4, -3, 0, 1, 3, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5)\/(((-1)\/12)\/(1\/10)). Solve 11 = -r*q - 19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.044, -0.3, 523.94.\nAnswer: -0.3, 0.044, 523.94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2237752561.\nAnswer: 11, 811, 250841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 117*k + 347. What is j(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -26*f**2 - 21*f**2 + 38*f**2 + (-f - 3*f + 5*f)*(-f + 3*f - 3*f).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -13, 0, -3, -1, 6867, 2 in descending order.\nAnswer: 6867, 2, 0, -1, -3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(1\/3))**(-4\/25)*x**(1\/2)\/x*x**(-2\/9))\/(((x**(2\/7)*x*x)\/x)**32*(x**(-2\/7))**47) assuming x is positive.\nAnswer: x**(-89743\/3150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*u**5 + 5*u**5 - u**5 + (0 + 1 + 0)*(117*u**3 - 118*u**3 + 3*u + 3*u**5 - u).\nAnswer: 5*u**5 - u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p + 13 = p - 4*t, 0 = -3*p - 4*t + 27 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 9 = -9. Suppose -2*s + 1 = b. Suppose -2*t - 52 = -36. Sort t, 0, s in decreasing order.\nAnswer: 0, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -628 = -4*s - 2*i + 18, -2*i = 2*s - 326. Suppose -r - s = -11*r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 480517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u, 1 i, and 1 m when four letters picked without replacement from mmmmimmumumi.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 79987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 20, 14, 8?\n\"Answer: -6*w + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4347 is divided by 145?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 - -1. Let r = 4.02 - g. Let b = -0.076 + r. Round b to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2125 - 580. Suppose -16*w + 13*w + j = 0. What are the prime factors of w?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the first derivative of -3*k**5\/5 + 15*k**2 + 40*k - 11. Let j(c) be the first derivative of s(c). What is the first derivative of j(l) wrt l?\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5\/7 in -1, 596\/3, -3, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1735 is divided by -16 + 17 - (-17)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -10012, -19951, -29888, -39829, -49780, -59747?\n\"Answer: -i**3 + 7*i**2 - 9953*i - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 + -3 + -13 - (0 + 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5\/888 - -43931\/4440. What is the common denominator of s and -89\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 20\/(-16)*12\/(-30)*(3 - -1). Let x(n) be the third derivative of 0*n**3 + 1\/90*n**5 + 2\/9*n**4 + 0*n + 0 - 33*n**w. Factor x(q).\nAnswer: 2*q*(q + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 565 is divided by 312.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -2*f + 8. Calculate a(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) 19967  (c) 809\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 52445 and 629?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 230 - 190 = 0. Let u be (-38)\/3*-2 + m\/(-15). Let p = -24 + u. Solve -3*h = -5*h - p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8414 - 8349. What is the least common multiple of 208 and a?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b - 5*b + 4*b)*(-21 + 0 - 8)*(0 - 7 + 0).\nAnswer: 406*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((sqrt(153) - sqrt(153)*-1) + sqrt(153))*1)\/((sqrt(180)\/sqrt(4))\/sqrt(5) - (-2*sqrt(72))\/sqrt(8)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 6460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 3, n: 1, p: 3, u: 1, g: 5, f: 2}. What is prob of picking 1 u and 1 n?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 205571 and 2644?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -3*q**3\/7 - 1866*q**2\/7 - 48345*q\/7 - 12750 = 0.\nAnswer: -595, -25, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.3 - -0.3. Let p = 0 - h. Let v = 163.4 + -158.4. Put p, v, -2, 0.4 in decreasing order.\nAnswer: v, p, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 s, and 2 a when four letters picked without replacement from ssssaafasfassffffss.\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0932885601 and 1.\nAnswer: 0.0932885601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 - -2*1 - -3. Let f be -2 + r + (-1 - 2). Let l = 4 + f. Solve l*z + 20 = 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + g = -24, 9*g + 14 = -2*m + 13*g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 283016976*d**3*q**3 - 804176*d**2*q**3 - 2*q**2 - 69*q wrt d.\nAnswer: 1698101856*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/20)\/(92\/(-184))*(-5)\/5.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 3, x: 1, v: 3}. Give prob of picking 4 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-1)*k**(-4)\/k)**(-6\/11))**(-15) assuming k is positive.\nAnswer: k**(-540\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*h - i - 24 + 21, -5*h + 3*i + 6 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2735 is divided by 144.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -158 divided by 2888.\nAnswer: -79\/1444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 236*n + 157*n + n**2 - 280*n as m*n**2 + h*n + b and give h.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -354*g + 371*g + 255. What is the nearest to 2\/9 in -1\/3, g, -1\/4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 477 and 583.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*a = 2*v + 15*a + 15, 3*a - 38 = 5*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 428328 and 4050?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 33 - (25 + -17 + 12) - (-3 - 2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 265.31901 months to years.\nAnswer: 22.1099175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8758a (base 13) to base 12.\nAnswer: b9822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 3818, 3682, 3546, 3410?\n\"Answer: -136*b + 3954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (19\/(-38))\/(1\/(-16)). Round s to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.30299?  (a) 0.24  (b) 5  (c) -1\/6  (d) -0.034  (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 + -1. Let g(s) be the second derivative of -s**4\/12 - s**3\/2 - 7*s**2\/2 + s. Let c(r) be the first derivative of g(r). What is c(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*k**2\/2 + 60*k - 600.\nAnswer: -3*(k - 20)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**2 + 2*v + 7. Let y be u(5). Suppose 0 = h - 2*t - 4, 2*h - 5*t - 11 = -h. What is the units digit of (-1)\/h*(0 + y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -28 divided by -28\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2\/21)\/r**(4\/7)*(r\/r**4)\/r**7)**(1\/15) assuming r is positive.\nAnswer: r**(-32\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0655126 to three dps.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -3297*n - 30. Let z be l(10). Round z to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*b - 4*b - 2*b)*(3*b - 5*b + b)*(45 - b - 45) as f*b**2 + t*b + j*b**3 + g and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 2, b: 2, g: 8}. Give prob of picking 2 b and 1 a.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**2 - 4*n - 1. Let z be c(-3). Suppose 4*a = -2*v + 32, 2 = 4*a - z. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-5)*1\/(6\/6)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -12 - (16 + 12 + -23)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -5*i**2 - 19*i + 6. Let v be r(-4). Let m(y) = -2*y**2 + 4*y - 5. Give m(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -86 + (2808 + -2817 - (-2 + 2 + 12))?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1882 a factor of 10733046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1610*r + 1651*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3651 < 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(-7\/2)*i)\/i*i**3)\/((i*i**1)\/i)**(-17\/4) assuming i is positive.\nAnswer: i**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -11 - -21226?\nAnswer: 21215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -2*n + 1. Let i(o) = -o. Determine 5*i(b) - u(b).\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one twentieth of a hour?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*a - 10*a - 5*x - 125 = 15*a, 4*a = 5*x + 50 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 9241*f**3 - 15*f**2 + 5*f - 7. Let m be o(13). What is m rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the third derivative of 13*l**8\/840 + l**4\/12 - 8*l**3\/3 + 4*l**2. Let b(c) be the first derivative of o(c). What is the derivative of b(z) wrt z?\nAnswer: 104*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 9 + 9*b**2 - 22*b - b**3 - 14*b**2 + 28*b. Let a(y) be the second derivative of y**4\/12 - 4*y**3\/3 + 3*y**2 + 3*y. Let o be a(6). What is s(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -33*x**3 - 2*x**2 + 1. Suppose -3*m + 102 = 105. Give z(m).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5420 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(324) - (2*sqrt(324)*-1 + sqrt(324)) - sqrt(324)) + sqrt(324) + sqrt(324))\/sqrt(12))\/(sqrt(45)\/((sqrt(200)\/sqrt(4))\/sqrt(10))).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47064.\nAnswer: 2, 3, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 147139681 and 19773.\nAnswer: 2197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4362041?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 2*j**2. Let v(r) be the second derivative of 73*r**7\/280 + 43*r**4\/2 + 3*r + 6. Let f(b) be the third derivative of v(b). What is u(f(t))?\nAnswer: 863298*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = x + 69. Let y be (-68*(-91)\/14)\/(0 - -1). Suppose 5*v + y = 2*j, 6 = -v + 5*j - 64. Which is greater: v or x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 66 in -3, 110, -4, 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 165397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 6, p: 4, q: 5, f: 4}. What is prob of picking 3 q?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -1005*a - 88. Is g(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 648.7644825837 - -4.2355234763. Let w = f + -653. What is w rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(132) - 2*sqrt(132)))\/(sqrt(1728)*3).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**2. Let t(i) = 78*i. Determine t(j(m)).\nAnswer: 78*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 89196?\nAnswer: 2, 3, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 6 = 5*f + 6*x, f - x + 2 = 0. Sort -2\/9, f, -1, -0.4.\nAnswer: -1, -0.4, -2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -39*a + 6. Let u be x(-3). Let q = u - 120. Solve -q*m = -o + m + 8, -10 = o + 2*m for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**3 - 8*x**2 - 11*x - 5. Suppose 8 = 4*i + 4*j, -2*i + 5*j + 18 = -0*i. What is the remainder when h(-7) is divided by (-8)\/3*(-18)\/i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -112779326 by -1.\nAnswer: 112779326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 180 + -182. Let s be (-12)\/(-54) - 38\/9. Sort -7, s, j in increasing order.\nAnswer: -7, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -23 + 73. Let j = 623 + -612. What is the remainder when y is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(13) + -1 - (-1 + -4 + sqrt(13)))**2.\nAnswer: -24*sqrt(13) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 582765 is divided by 555.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11361 and 25459?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 - 6. Let c = -8 - i. Solve -c = 2*w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 PM and 7:11 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 221584800 and 244395.\nAnswer: 664754400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**2\/11 + 6684*x\/11 - 13360\/11.\nAnswer: -2*(x - 3340)*(x - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 246, 225, 190, 141, 78, 1, -90?\n\"Answer: -7*g**2 + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.145211 millennia?\nAnswer: 145.211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-45) - 1247\/215) + 6?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10\/7469 - 2113527\/149380. Are c and -15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 829046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 440845 and 1360?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2464)\/14)\/16*54\/36.\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 788\/(-1379)*7\/(-18) + (-4)\/45.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -1, 3.\nAnswer: -1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.9036439 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59*d**2 - 29*d**2 - 42*d**2.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2\/4)\/(8\/1928). Let m = f - 123. Let g = -0.12 + -0.88. Which is the nearest to 1?  (a) g  (b) m  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4242 + -4186. What is the greatest common divisor of 5572 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -f**3 + 3*f**3 + 0*f**3 + (2*f**2 + 2 - 2)*(-f + 2*f - 2*f) + 3*f - 2*f**3 - 3*f + 8 - 3*f**3 - 8.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 + -6 + 142\/20. Let w = 28\/5 - u. Let q be -1 - -1 - (-9)\/15. Which is the second biggest value?  (a) 1\/3  (b) w  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -176 + 125. Let g be 4 - c\/12*-1. Is -7 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2836981433?\nAnswer: 11, 13, 347, 57173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 57*m**2 + 8*m + 11. Let h(w) = -54*w**2 - 6*w - 8. Let d(l) = 3*a(l) + 4*h(l). Let z(y) = -4*y**2. Calculate 4*d(t) - 44*z(t).\nAnswer: -4*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t + 4*i, -t = t - 5*i - 3. Let k = -686 + 658. Is t\/(k\/(-121)) - (-2)\/(-7) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 - (3 - 4) - 101. Suppose 2*t = 3*c + 200, -2*t = c + 2*t + 90. Let l = c - k. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 8399  (b) 27  (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 554063278 to the power of 1\/3, to the nearest integer?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-31)\/105 + 1\/5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24109 is divided by 24017.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 65 + -65.1. Which is the third biggest value?  (a) 2  (b) -5  (c) -9  (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 37  (b) -4769  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 30739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/(-6) - (48\/(-9) - -2). Suppose 4*m - 3*g + 88 = g, l = -g. Let u = 48 + m. Calculate the lowest common multiple of u and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -12455934*g. Let m(c) = 8*c. Give b(m(w)).\nAnswer: -99647472*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9 and 243.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -145910, 18 in ascending order.\nAnswer: -145910, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**27\/x)\/(x**0\/x))\/(x*x**23)**(18\/11) assuming x is positive.\nAnswer: x**(-124\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*f**2 + 11*f**2 + 9*f**2.\nAnswer: 22*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*o - 24*o**2 + 2*o + 4*o.\nAnswer: -24*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - -12 - -13) + -15 + 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(6) + ((sqrt(600) - sqrt(600)*-1) + sqrt(600) - sqrt(600)) - sqrt(6))\/(sqrt(2) + 6*sqrt(12)\/sqrt(6) + sqrt(2)))**2 + 4.\nAnswer: 103\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02 + -21299.9?\nAnswer: -21299.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.691 + 0.65. Let x = -4.041 - b. Let i = 1 + -1.4. What is the closest to -0.2 in x, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2139 - 2133. Solve 5*c = 2*z - 15, -v*z + 5*z + 5 = -2*c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-15*a + 0*a - 11*a)*(0 + 1 - 2 + 1 - 5 + 2 + (-2 + 0 + 0)*(-5 + 2 + 1))*(0*a + 0*a + a**2) in the form v*a + s + j*a**3 + l*a**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -46 + 22. Let r be g\/30*(-5)\/2. What is the highest common factor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 107663 = -5*t, 246*v = 244*v - 4*t + 53830. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 - -19 - (6 - (0 - 2)) - 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3882.327l to millilitres.\nAnswer: 3882327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19856613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (33\/(-2))\/(18\/24). Let y be 12\/(-66) + (-972)\/d. Suppose y = 2*u - 4*i, 5*u - 2*i - 75 - 43 = 0. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -867624912.1 rounded to the nearest 10000?\nAnswer: -867620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 + 0)\/(2\/3). Suppose 2*c = -x - 0*x + 35, -c + 58 = 2*x. What is the highest common factor of k and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2287*o = -130*o + 61051 + 66212 for o.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g + 17 = 2*a - 7*g, 3*g + 18 = 3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 101*f - 51*f - 2 + f**2 - 92*f**3 - 5*f**2 - 52*f + 0*f**4 + f**4 to j*f + c + h*f**4 + p*f**2 + g*f**3 and give g.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 17487 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 847*j**4 - 253297*j**3 - 1686604*j**2\/7 + 91204*j\/7 - 1200\/7 = 0. What is j?\nAnswer: -1, 2\/77, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -33423 + 3574?\nAnswer: -29849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5809 and 326.\nAnswer: 1893734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 10*r**2. Let x(n) be the first derivative of -n**2\/2 - 10. Determine g(x(o)).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 0\/(-1) - -237 - (42 + -39)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -879 - -928. Calculate the greatest common factor of 28 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((((0 + sqrt(468) - sqrt(468))*-3 - (sqrt(468) + 0)*2) + (sqrt(468)*-3 + sqrt(468) + sqrt(468))*-3*-3)*-2*6)**2.\nAnswer: 8154430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m**2\/6 + 76*m - 658\/3 = 0.\nAnswer: -94, 14\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*x + 48*x + 217 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -23681150 to the nearest 100000.\nAnswer: -23700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3, 25, 55, 93?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 13*g. Let v(k) = -4*k**2 - 433*k + 433*k. Calculate v(x(b)).\nAnswer: -676*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -25 + 0*x + 3*x + 10*x - 28*x. What is the least common multiple of p(-7) and 8?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 + 11101101001100?\nAnswer: 11101101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4549 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 3*q = -71, 0 = -5*v + q + 368 + 15. What are the prime factors of v?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaataatacaktwawt. What is prob of picking 1 c, 1 t, and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k. Let j(z) = 2*z + 29. Give j(m(h)).\nAnswer: -2*h + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttvv when four letters picked without replacement from {v: 2, t: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2347370 a multiple of 530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 + 3*d**2 + 2*d + 9. Let l be a(-3). Solve r = v - 5*v + 8, 4 = -l*r + 2*v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -462 + 480. What is the nearest to -1 in 5, -3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3292844?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*u + 15*u - 11*u + 871*u**3 - 90*u**3.\nAnswer: 781*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f*(f*f\/(f*f**(2\/15)\/f))\/f)\/(f*f**4*f))**(3\/10) assuming f is positive.\nAnswer: f**(-47\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16692 + 12945 - 50003 = 1250*m for m.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10111021112 - 10?\nAnswer: -10111021122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 - 6. Let u = -1 - k. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**3 + 3*m**2 + m - 1. Let i be u(3). Let v = 302\/357 + -14\/51. Factor v - i*g**2 + 10\/7*g.\nAnswer: -2*(g - 1)*(7*g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -3*m**2 + m - 4. Let z be 28\/21 - -2*1\/(-6). Let f(i) = -i**2. Let d(o) = z*n(o) + 2*f(o). Let w(g) = 6*g**2 - g + 5. What is 4*d(u) + 3*w(u)?\nAnswer: -2*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00014807597 rounded to six decimal places?\nAnswer: 0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*w + 0*w - w**2)*(12*w + 17*w - 50*w - 2*w**2) to the form c*w**3 + i*w**2 + g + z*w + m*w**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((-10)\/(-75)) + -6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**3 + 12*i**2 + 8*i - 15. What are the prime factors of d(10)?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.3534689 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -84 - -59. Let v = a + 78. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 0.1, 13, -0.05 in decreasing order.\nAnswer: 13, 2\/5, 0.1, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4195\/3 + -1399. Which is the nearest to 10?  (a) z  (b) -2\/9  (c) 3\/7  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00002065 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-12) + (-597)\/(-18). Suppose r = 4*p - 3. What is the highest common factor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c - 10. Let h be m(3). Let b(w) = w**2 + 6*w - 13. Let d be b(h). Is -6 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 30 + -27. Suppose -c = b*h - 340, 2*c - 698 = 2*h + h. List the prime factors of c.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 512493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/(x\/((x\/x**(-2\/31))\/x*x))*x*x*x)*x**(-4))\/(x*x**(2\/3))**(-26) assuming x is positive.\nAnswer: x**(3373\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -76*u + 71*u - 10. Let n = 1064\/3 - 18127\/51. Which is smaller: n or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 5 - (0 + (0 - 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 417 + -250. Let x = 169 - i. Which is smaller: x or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(147) - (3 + sqrt(147) + sqrt(147))) + -5 + 4*sqrt(147)*-4*-3 + 0)**2.\nAnswer: -6580*sqrt(3) + 324823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -h**2\/3 - 1232*h\/3 - 379456\/3 = 0.\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 20 and 1340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-106*o**2 + 24*o**2 + 30*o**2)*(-105 - 59 + 43) + 4*o + 2*o**2 - 4*o in the form v*o**2 + w + k*o and give v.\nAnswer: 6294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a kilometer in meters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*r**4 - 5*r**3 - 42*r - 9002.\nAnswer: 12*r**3 - 15*r**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -295 + 116*j - 4349*j**5 - 333 + 626 - 378*j**5 wrt j.\nAnswer: -94540*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36642021?\nAnswer: 3, 13, 17, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 187 and 6741452?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -67*q**2 + 3*q + 6. Let o be z(-3). Let d = -4234\/7 - o. What is the second smallest value in d, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 110.3 times -0.11\nAnswer: -12.133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 137 = -r, 2*r - 2*d = -0*r - 294. Let x = r + 282. Let c = -1431\/11 + x. Calculate the common denominator of c and -31\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -c**3 + 1513*c**2\/2 - 7853*c + 14920 = 0. Calculate c.\nAnswer: 5\/2, 8, 746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 4*c**2 - 10*c + 10. Let f(k) = 3*k**2 - 8*k + 8. Let p(z) = 5*f(z) - 4*s(z). Suppose m + 2 = 4. Let g(r) = -m*r - 20 + 20. What is p(g(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 95133656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 v, and 1 o when three letters picked without replacement from dososnnosvdsos.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1926.3276s in minutes?\nAnswer: 32.10546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1151127625 a multiple of 311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 - 30*k**2 + 50*k + 67. List the prime factors of q(-32).\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 466 at least 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 6, y: 3, b: 8}. What is prob of picking 3 n and 1 y?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(-3) - 11868\/7740?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 266 + -5?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -64.6*0.137.\nAnswer: -8.8502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5426423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 20 + 7347*m**3 + 900*m + 4994*m**3 + 20 + 4534*m**3 + 6750*m**2 = 0.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 45 - 489*j + 455*j + 195. What is the tens digit of m(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 0.3, -5, 1, -34\/21?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 387\/24 - (130\/(-156))\/(40\/(-6)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 25 or 702\/29?\nAnswer: 702\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 98, -134, -516, -1042, -1706, -2502?\nAnswer: -3424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 81.3 + -85.3. Which is the second smallest value?  (a) 46  (b) 0.5  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b - 112. Let x(o) = -263 + 4*o**2 + 238 + 25. What is g(x(q))?\nAnswer: 4*q**2 - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 621 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 + 4 = 4*d. Does 4 divide -8*(d + 4 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v\/(v**0\/v)))**(-35)*v*v**(-5)*(v\/v**2)\/v)\/(v**5*(v*(v*v**(1\/4))\/v*v)\/v)**(-8\/13) assuming v is positive.\nAnswer: v**(427\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a - 6*a - x = -5, 3 = 3*x. Let p(d) = d**2 + 6*d + 17. What is the remainder when (-75)\/((45\/(-6))\/5) is divided by p(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 141380 and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s - 11. Calculate a(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(110) - sqrt(110) - sqrt(110))*-5 - sqrt(110) - (sqrt(110) + (2*sqrt(110) - sqrt(110)))*5)\/(-2*sqrt(250)*-1).\nAnswer: -3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add 15590 and -12814.9.\nAnswer: 2775.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 178649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14 + 17. Let x be 183 - (1 - 4)\/g. Suppose -2*p + 5*u = -26, -5*p + 9*p - 112 = -5*u. Calculate the greatest common divisor of p and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1245\/(-486)*2)\/((-9)\/(-14526)). Let h be (4134\/(-8))\/((-3)\/48). Let x = h + u. Find the common denominator of x and 59\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) -0.035  (b) -1  (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2\/6)\/(11\/132). Let c(h) be the first derivative of 0*h + 0*h**q - 2 - h**2 + 0*h**3 - 2\/5*h**5. Find the second derivative of c(j) wrt j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1170995, 2341987, 3512979, 4683971, 5854963?\n\"Answer: 1170992*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2431\/3 - -809. Which is the fifth biggest value?  (a) -1\/3  (b) 2\/11  (c) -3\/7  (d) 16  (e) h\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(198)\/sqrt(99))\/(-3*sqrt(900) + sqrt(900)).\nAnswer: -sqrt(2)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*u**3 - 12 + 11 - 2*u**3 to the form t*u**3 + w*u**2 + i*u + s and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes after 12:43 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + (-87)\/(-9) - -1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 33, 46, 59, 72, 85?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3546591 and 204.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*u + 550715 - 550715 - 4*u + u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 319*o + 633. Calculate l(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 7, k: 1}. What is prob of sequence qk?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 895?  (a) 1\/10  (b) 5  (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 486, 1368, 2228, 3066, 3882, 4676, 5448?\n\"Answer: -11*n**2 + 915*n - 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 2*d**3 - 7*d**2 - 7*d + 7. Let j be t(4). Is 3819 - j\/(-1 + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**2 + 5*w - 5. Let d(i) = -i**2 - 5*i + 6. Let n(h) = 3*d(h) + 2*x(h). Let z be n(-6). Solve -2*m + z = -5*t + 9, -4*m - 5*t = -31 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*l - 32 = -l. Calculate the remainder when 31 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-15)\/(-5 - 0) + (-3 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.06 + 7.94. Let l = 8.1 - t. What is the nearest to -0.2 in 3, -0.4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -60.59212 + 0.06212. Let c = 60.543084 + k. Let z = -0.013 + c. What is z rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 114 - 112. Is -0.2 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7184 (base 11) to base 14.\nAnswer: 368a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 + 5*h**2 + 5*h + 8. Let z be w(6). Suppose 3*r = z*l - 8 - 9, 21 = -4*r + 3*l. Let f = 11 + r. Solve -2*n + f + 4 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 - -2. Let r = 13 + -13. Let s = r + -0.1. What is the nearest to s in 3, 0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11261\/10 - 1119. What is the common denominator of -25\/33 and j?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*u - 340 = 20*u. Solve u - 2 = -4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1342241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 9022492819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -11*h**2 - 3*h + 8. Let u(j) = 7*j**2 + 2*j - 5. Suppose -4*t + 87 = -3*s, -4*t - s + 77 = -2*s. Let p = -10 + t. Give p*u(v) + 5*o(v).\nAnswer: v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**2 + 13. Let w be o(0). Suppose -8*z = -w*z + 990. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**3 + 26*i**2 + 11*i + 97. What is the units digit of v(-25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -705, -1411, -2117, -2823?\nAnswer: -3529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 248 and 2376522.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -4*q**2 + 4*q - 3. Let b(m) = -3*m**2 + 3*m. Let r(l) = -3*b(l) + 2*g(l). Determine i so that r(i) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4179.\nAnswer: 3, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*v + 3*v - 37*v)*(-14644 + 510*v + 14644).\nAnswer: -9180*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in -13\/4, 0.06, 2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**2 - s**2 + 3*s**2 + 21*s. Let z(p) = -10909*p**2 + 2731*p**2 + 2722*p**2 + 2731*p**2 + 2724*p**2. Calculate z(t(c)).\nAnswer: -c**4 - 42*c**3 - 441*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 2*w. Let c(m) = m + 1. Let s(v) = 2*v + 2*v**2 + 0 - 3*v**2 + 2. Let k(d) = 6*c(d) - 3*s(d). What is f(k(q))?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 11*w**2 - 12*w + 3. Let b be q(-14). Let c = b + 186. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 662 + -329. Calculate the common denominator of ((-1)\/(-6))\/((-10)\/f) and (-25248)\/(-2304) + (7\/(-147) - 2\/7).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5149?\nAnswer: 19, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 420445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of x**3\/6 - 3*x - 5. Let g(t) be the first derivative of b(t). Let d(h) = 3*h. Calculate g(d(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u - 7 - 14 = 0. Let m be (u*(-1)\/3)\/1. Let i(o) = o**3 - o**2 + 2*o - 1. Give i(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21 (base 9) to base 6\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3854*m**4 - 2*m**3 - 253*m - 2 wrt m?\nAnswer: 46248*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(56) + sqrt(504)) + sqrt(56))\/sqrt(8).\nAnswer: -7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 11, s: 2, m: 1}. Give prob of picking 2 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4602355*c*i*r*s - c*i*s - c*r - 2*c + i*r - 2*r*s + 662845*r + 11 wrt s?\nAnswer: -4602355*c*i*r - c*i - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 9*z. Let q(d) = 2644*d**2. Give q(a(o)).\nAnswer: 214164*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 8 = -4*j - t, -5 = -4*j - 5*t. Suppose k = 2*k. Suppose l - 15 = j*n - 3, k = -4*l - 5*n + 73. Calculate the highest common divisor of 17 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -141 - 353?\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (701 - 193*u - 701)*(5*u - 2*u - u) in the form v*u + g + o*u**2 and give o.\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/2*0\/5. Let s(g) = g**3 + g**2 - g - 2. Let x be s(h). Let r be 0 - x*(-1)\/3. Which is the second biggest value?  (a) -4  (b) r  (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 5*o - 151914, -4*o + 16*t = 15*t - 121524. Is 25 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:42 AM and 8:10 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the first derivative of 1\/2*a**2 - 3*a - 2. Let o be z(3). Let c(r) = r**2 - r - 7. Give c(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 250\/150 - 44\/(-6). Let t(j) = 13*j**3 + 9*j**2 - 27*j + 44. Is t(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (17\/(-9248)*-8)\/(5\/(-80))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -2 - 2 - (-258 - 7) is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20)\/6*606\/(-505)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 + 71. Let m = g + -76. Let x = -1.1 + 0.1. Put x, 0.3, m in increasing order.\nAnswer: x, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -0.5  (b) 4\/9  (c) -1\/1042\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5205 + 5250. Calculate the remainder when 342 is divided by z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 506 + 1066 = -140*n + 9*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**2 - 11*i + 2. Calculate k(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 941 + 935 + 1074 - 3*m**3 + 1074 - 4024.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + ((-1 - -4) + -7 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 2780 divide 1037770022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -19138*p - 172243. Calculate h(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 28949102 to the power of 1\/2, to the nearest integer?\nAnswer: 5380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that -5*q**3 + 4815*q**2 - 1545615*q + 165380805 = 0.\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-22)\/(-12) - 2) + (-100)\/15 and -1\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 42 and 29152767?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*n + 2*n, -2*u - 5*n = 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -106*g + 4*i + 24 = -109*g, 5*i + 30 = -4*g. Which is smaller: g or -16\/249?\nAnswer: -16\/249","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -4*j**3 + j**2 + j. Suppose 0 = -32*c + 46*c - 28. Let l(x) = -11*x + 21. Let k be l(c). Give b(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 841 - 392 + 923 = 78*i + 46 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 755352 by 2.\nAnswer: 377676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes after 5:24 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes after 5:36 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 19 in 1.61, -44, -0.3, -5, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -201 (base 4) in base 15?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r**(-8)*r)*r)\/(r*r**(-7\/3))*(r*(r\/(r*r**(-1\/3)))\/r)**(3\/2) assuming r is positive.\nAnswer: r**(65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r + 1, -38*h + r = -43*h - 451. Do h and -92 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47514008 a multiple of 538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 389379343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 402*t**2 - 238*t + 3. Calculate z(2).\nAnswer: 1135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 - -11. Let l be (-36)\/(-20) + 4\/i. Suppose -2*v + 5 = l*o + 1, 0 = 5*v + 15. Solve 3*b = -o*p - 16, 0*p - 5*b - 12 = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1812*p**2 + 1 + 2 + 0 + p.\nAnswer: 1812*p**2 + p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -30*k**4 - 12*k**3 + 32*k**2 + 12*k - 12. Let u(z) = z**4 + z**3 - z**2 - z + 1. Let t(q) = 12*u(q) + x(q). Find the third derivative of t(f) wrt f.\nAnswer: -432*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1230\/(-8364))\/(5\/(-17))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(5) - (sqrt(5) + 0)*5 - -2*sqrt(720)))**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -4627081, -9254159, -13881237, -18508315, -23135393, -27762471?\n\"Answer: -4627078*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*v + 434 = -11*v. Find the first derivative of -126*w + v*w + 132*w**4 + 2 + 64*w + 70 wrt w.\nAnswer: 528*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -5*t. Suppose t = m + 2*d - 58, 3*m + 4*d - 164 = -0*d. Calculate the remainder when m is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41 - 7*t**2 + 7*t - 41 - 7*t.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -86 + 90. What is the biggest value in w, -1\/7, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -3578, 2\/9, -0.3, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f + 10. Let i be z(-5). Let j = i - 3. What is the units digit of (-2)\/(0 + j\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:15 AM and 7:30 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1311 (base 6) in base 4?\nAnswer: -11023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence apy when three letters picked without replacement from {p: 1, y: 1, g: 1, a: 1, b: 1, h: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/24591 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 - -5. Let n = a + -11. Let r be (4\/(-3) - n)*0. Solve r*j - 2*j + 4 = f, -12 = -2*j - 5*f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 75.78539ml in litres?\nAnswer: 0.07578539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*q - 4*q + 143 + 4*q + 21 + 0*q as w*q + r and give r.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -3840*m**2 + 19214*m + 7. What is s(5)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/18)\/((-5)\/((-20)\/(-8))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 80*f - 418*f - 219*f to o + b*f and give b.\nAnswer: -557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/15, 2, 4, 2\/505, -21\/41, -0.4?\nAnswer: 2\/505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -2275.1, 4\/3, -4\/7 in ascending order.\nAnswer: -2275.1, -4\/7, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 149, 575, 1285, 2285, 3581, 5179, 7085?\nAnswer: 9305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4379 is divided by 59?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 2 = d. Let o be (-32)\/(-12)*(-6)\/(-4). Solve 0 = o*b + d - 6, 5*s + 8 = 3*b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 0.05948, 0, -8 in descending order.\nAnswer: 0.05948, 0, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 12*a**2 - 5*a + 11. Let h be x(-5). Calculate the highest common factor of h and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4\/55 - -158\/3685. Which is smaller: q or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*m - 15, -407*h + 5*m - 31 = -405*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n**5 - 1026843*n**4 - 87864645081*n**3 + 439340681883*n**2 - 702954127344*n + 351479117388 = 0. Calculate n.\nAnswer: -171143, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 296117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-16)*(-14)\/14)\/(132\/(-176))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**2 + 2*l. Let f(h) = 10*h**2 - 19*h. Let n(g) = -f(g) - 8*z(g). Let c(b) = 70*b. What is c(n(o))?\nAnswer: -140*o**2 + 210*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 50.9, -3\/5, 1.4, -1?\nAnswer: 50.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -26 - -14. Which is greater: -11 or n?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -3*h + 21, -3*o - h = -8*o - 33. Let r(i) = -276*i - 133. Is r(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5.5 - -4.3. Which is the nearest to v?  (a) 0.2  (b) -5  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5 and 1011?\nAnswer: 5055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3004 - 3004 - 2*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2236445045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -23, -33, -41, -41, -27?\n\"Answer: f**3 - 5*f**2 - 2*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -a*r**4 - 134*a*r**3 - 335*a*r**2 + a + 5*r + 23927 wrt r?\nAnswer: -12*a*r**2 - 804*a*r - 670*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the second derivative of p**3\/6 - 7*p**2\/2 - p. Let y be d(9). Is 56 - (y - 0)*-1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -21*y - 41. What is k(-10)?\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -14*x**2 - 21*x - 37. Give q(-2).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 4182.2834020415 from -15.\nAnswer: -4197.2834020415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 11, -10, -45, -94, -157, -234, -325?\n\"Answer: -7*o**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*o**4 - o**4 + 3*o**4 + (-o + 2 - 2 + (2 + 1 + 4)*(-9*o + 4*o + 8*o))*(-3*o**3 - 2*o**3 + 4*o**3).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = t - 3. Suppose -t*f = 3*f + 10. Let s be 12\/8*(f - -4). Solve -5 = -4*y + s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.228888*-5.\nAnswer: -1.14444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*v + 32*v - 2 + 2.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 4606*f**3 + 14*f**2 - 14*f - 464. Let v(l) = -4604*l**3 - 13*l**2 + 13*l + 465. Let q(z) = -13*r(z) - 14*v(z). Differentiate q(m) wrt m.\nAnswer: 13734*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 43984, 43243, 42512, 41797, 41104?\n\"Answer: m**3 - m**2 - 745*m + 44729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**2 + 2*d - 3. Suppose -3*a - 12 = l, -2*l + 3*l = 3*a - 6. Let c be (-15)\/6 + l\/18. What is q(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1007 + 6?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {h: 1, b: 4, c: 2, y: 7, s: 4}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -304, -605, -906, -1207?\nAnswer: -1508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*v - 2 - 6 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f - 5*s - 19, 3*s - 8 = -5*f + 35. Let i(a) = a**3 - 8*a**2 + a - 6. Let l be i(f). Is 7 a factor of (-4)\/(-1) - l - -20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4660*u + 177*u**3 - 1566*u - 1562*u - 1532*u.\nAnswer: 177*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 66185.59 litres to millilitres.\nAnswer: 66185590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 64761071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of (168\/(-15))\/((-3)\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 8 = -b + 3*d, -b - 4*d = 1. Let h be (-10)\/(-4)*2*37. Suppose b*z - 2*z - h = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 29 and 2117?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -6*f. Let t(b) = -5*b - 4. Let c(n) be the second derivative of -n**3 - 5*n**2\/2 - 15*n. Let q(r) = 4*c(r) - 5*t(r). What is w(q(s))?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -4 + 3 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, o: 1, h: 1, l: 1, q: 1}. Give prob of sequence rq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.1 - -0.1. Let f = 1.4 - 0.9. Which is the nearest to 2\/5?  (a) y  (b) 1  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*h**2 + h**2 + 2*h**2)*(1 - 2 - 1)*(1 + 1 - 1) - 302*h + 163*h - 3*h**2 + 8*h**2 to the form p*h + w*h**2 + r and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**18\/t*t*t**13\/t*t*t assuming t is positive.\nAnswer: t**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 4*o - 64 = 0, 3*a - 44 = -0*o + 5*o. Suppose -682 = -369*n + 1051*n. Sort 5, n, 1, a in decreasing order.\nAnswer: a, 5, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 73 + 67 = 3*g, -5*g + 252 = 2*z. Let o = -131 - -81. Let c = o + g. Solve -3*y = 3*t, 2*t + 12 = t + c*y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*75.275\nAnswer: 22.5825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -19, -37, -57, -79?\n\"Answer: -r**2 - 15*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*u - 24*u + 63 = -13*u. Solve -13*r = -u*r + 60 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00033828 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aalbllbbbkblaallab. What is prob of picking 2 b?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 4*a**2 + 56*a + 48. What is f(-13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 15?  (a) 0.5  (b) -5  (c) -1\/2  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 31*t**6 + t**4 + 31*t**2 - 4*t wrt t.\nAnswer: 3720*t**3 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 14, 9, -10, -49, -114?\n\"Answer: -b**3 - b**2 + 5*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + m = 1, 2*d + 5 + 5 = -4*m. Let g be d\/((-5 - -3)\/(-34)). Suppose -3*s - 5 = -g. Solve -s*z + 20 = -0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -8*d - 7. Let r be l(-2). Let o = 12 - r. Find the first derivative of 15 + 13 - o + 6*n - n wrt n.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.57 times 151.814?\nAnswer: 238.34798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 AM and 8:23 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -160d382 (base 14) to base 8.\nAnswer: -51127626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**(-1\/37)*q*(q\/q**(-3))\/q)\/(q**(1\/3))**(2\/97))**14 assuming q is positive.\nAnswer: q**(756728\/10767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 27*d. Let a(v) = -v**2. What is q(a(j))?\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 225 divide 149317875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 + 80 = 3*n. Let x be (-5)\/(-6)*(28 - 34). Let s(j) = j**3 + 7*j**2 - j + 2. Let o be s(x). What is the greatest common divisor of o and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1201 - -1206. Let t(i) be the second derivative of i**4 + 2*i**3\/3 + 11*i**2\/2 - i. Is t(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11 + 7. Let a = 4.1 + b. Does a = -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 116998885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3099 + 6511. What is the remainder when x is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 - -10110?\nAnswer: 10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26734 is divided by 1403?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-17 - ((-114 - -1) + 8 + -19)) + -1 + -8\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/(v**(4\/9)\/v))\/v*v*v*v**(2\/19)*v)\/((v*(v\/(v\/(v**(9\/4)*v)))\/v*v)\/(((v**6\/v)\/v)\/v)))**(-2\/5) assuming v is positive.\nAnswer: v**(-1649\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 616, 627, 626, 607, 564, 491, 382, 231?\n\"Answer: -w**3 + 18*w + 599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 3*(85\/21 - 4)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -148391131*d**5*v**2 - d**2*v**2 - 258527280*d*v**2 - 2*v**2 wrt d.\nAnswer: -2967822620*d**3*v**2 - 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -5*d**2 - 4*d + 7. Let l(o) be the first derivative of 11*o**3\/3 + 9*o**2\/2 - 15*o + 1. What is 6*l(z) + 13*w(z)?\nAnswer: z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 + 3 - (-15)\/(-5). Suppose 3*m - 8*m + 20 = 0. Suppose -8*c + 5*h - 20 = -3*c, 5*h - 19 = m*c. Sort s, 1, c in increasing order.\nAnswer: c, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2232 (base 4) to base 15.\nAnswer: b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 + 13. Let w = 3618 + -3620. Let t = x + w. Which is the nearest to 3?  (a) -0.1  (b) -2  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 926983 is divided by 435?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m + 4. Let n(c) = -c - 5. Let k(p) = 4*n(p) + 5*z(p). Let l(g) be the third derivative of g**5\/15 + g**2 - 133*g - 2. Calculate k(l(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*a + 12*a = 24. Suppose -2*y - 18 = -4*l, 10*l - 15*l = y - 19. Put y, -2, a, -3 in descending order.\nAnswer: y, -2, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 o when three letters picked without replacement from {p: 4, i: 1, o: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 88267137?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, v: 1, d: 1, k: 1, r: 1, n: 1}. Give prob of sequence dn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 206601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 3 + 2)*(4*j - 1 - 2*j + 2) + j - 4 + 4 as z + f*j and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes before 6:41 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 4*q - 2, -2*q + 11 = -3*r - 4*q. Let i be (r - -2)*-1*4. Let t be (-1230)\/(-8) - (-1)\/i. What is the greatest common factor of 14 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -4534*u**2 + 1743*u + 3. Let k(s) = -36269*s**2 + 13944*s + 23. Let c(i) = 3*k(i) - 23*v(i). Find the second derivative of c(f) wrt f.\nAnswer: -9050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(-84))\/(10\/(-6))*-5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in 4, 0.3, 5, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**3 - w**2 - w - 2. Let s(n) = -6*n**3 - n**2 + 4*n + 6. Determine 3*l(p) + s(p).\nAnswer: -3*p**3 - 4*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 0.229, 1\/4, 0.3, 2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -5*t + 3. Determine n(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**5 + r**4 + 9*r**3 - 9*r**2.\nAnswer: -r**2*(r - 3)*(r - 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 463*k = 460*k, -4*l + 8 = 2*k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1084 - 4200 + a**2 - 4*a + 669.\nAnswer: a**2 - 4*a - 4615","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (2 - (-1 - -3)) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 16789 divided by 4\nAnswer: 16789\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 p when three letters picked without replacement from {f: 3, o: 4, p: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 4687276, 4687270, 4687262, 4687252, 4687240, 4687226?\n\"Answer: -x**2 - 3*x + 4687280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1940, -6955, -15314, -27017, -42064, -60455?\n\"Answer: -1672*n**2 + n - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k + 10 = -4*h - 6*k, 5 = h + 4*k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p - 18 = -5*o + 8, -25*o - 10 = 2*p - 26*o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(3\/7)\/(n*n*n\/(n**(1\/21)\/n)*n) assuming n is positive.\nAnswer: n**(-95\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 113 divide 629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j + 9. Let g = 9 - 16. Let v be h(g). Suppose -3*r + 16 = -23. Solve w + v*w = 3, -3*w + r = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5989 - -6609. What is the highest common factor of v and 4588?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -3*x + 4. Let s = 340.1 - 340. Let n = -0.3 + -3.7. What is the nearest to x in -1\/3, s, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -47 - -1842?\nAnswer: 17a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -9 - v + 7*v + 0*v. Let b be i(10). Let w = 58 + b. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -357, -718, -1079, -1440, -1801, -2162?\n\"Answer: -361*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1303 - -6521\/5. Let -8\/5*m**2 - 2\/5*m**3 - o*m + 0 = 0. Calculate m.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70407 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 39 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51 = -21*h - 11*h + 15*h. Sort h, 10, 14 in decreasing order.\nAnswer: 14, 10, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 102 + 645. Let s = 1240 - v. Does 67 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five halves of a day in minutes?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2*2\/(-4))\/((-54)\/1296*-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**2*j**2 assuming j is positive.\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 3*o**3 - 22*o**2 + o + 29. What is g(7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/((-12)\/(-9)) + -6. Let f be (108\/(-20))\/u*5. Let t = f - -2. Calculate the remainder when 19 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**6\/o**(1\/5))**26\/((o*o**(-1\/12)\/o*o*o*o\/(o**(4\/3)*o)*o)\/(o**(-1\/6)\/(o*o**(-2\/19)))) assuming o is positive.\nAnswer: o**(56299\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -327*f*j**2 + 1826*f*x + j**2*x - 2*j**2 + 6*j + x - 5856 wrt f?\nAnswer: -327*j**2 + 1826*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 3*f + 15 - 21 = 0, 0 = r - 2*f - 3. Solve 0 = r*i + i + z + 1, -4*z - 18 = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1169 - -1?\nAnswer: 116a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qpqhq. Give prob of sequence qqh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4 and 1976?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -5*(-2 + sqrt(76))**2.\nAnswer: -395 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add 6 and -314.\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/3*((8424\/84)\/(-117))\/((-2)\/245).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.16 + 0.16. Let y = -2\/3 - -16\/15. Let a be (-4)\/6 + (-14)\/(-3). What is the nearest to p in y, -1, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 0  (c) -2\/13  (d) 50758\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is d13 - 44?\nAnswer: cbe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 2*w = 8, -4*d - w + 25 = 11. Solve -2*h + 1 = -3*q + 6, -d*q + 3*h = -5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q**4 + 512*q**3 - 5212*q**2 - 38360*q = 0. What is q?\nAnswer: -137, -5, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 55, 53, 51, 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x + 3*j - 3, 2*x + j = -3*j + 4. Factor 0*h**2 + 0*h + 0 - 1\/5*h**5 - 1\/5*h**4 + x*h**3.\nAnswer: -h**4*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of i**6\/120 + 5*i**4\/12 - 9*i**3\/2 + 46*i**2. Is m(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 3*i - 5*t = 8, -i = 5*t + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, 5, -4, -849 in decreasing order.\nAnswer: 5, -1, -4, -5, -849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**3 - 9*q**2 - 7*q + 18. Suppose -5*l - 19 - 11 = 0. Let x be l - (-4)\/(-3 + 1). 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: What is 2 (base 14) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (2656\/(-913))\/(5\/(-55))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9849329 kilometers in nanometers?\nAnswer: 984932900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 62, -739, -158, 3, 1, -5 in increasing order.\nAnswer: -739, -158, -5, 1, 3, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 10*x - 334. Calculate g(39).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4610728033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 + -439188?\nAnswer: -439183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**3 - 3*z**2 - z - 5. Let b be r(4). Suppose b = 8*l - 57. What is the lowest common multiple of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 30 = -2*g. Let x be (-15)\/g*3\/9. What is the nearest to x in -2\/11, 2\/11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 8, n: 1, u: 1, f: 5, k: 5}. What is prob of picking 1 n, 1 k, and 1 f?\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the first derivative of -51*z**4\/2 - 48*z**3 - 2*z - 63. Find the third derivative of l(m) wrt m.\nAnswer: -612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -3*p**3 + 175*p**2 - 57*p - 54. Let r be z(58). Solve -3*x = -2*x + 3*t + r, 3*t = x - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 609 - 93*m - 609 - 2*m - 3*m + 4*m + 4*m - 4*m - 2*m + (-3 - 2*m + 3)*(-2 - 3 + 6) + 0*m - 4*m + 3*m + m - 3*m + 0*m - m + 0*m - m.\nAnswer: -103*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 72614743 to the nearest integer?\nAnswer: 8521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-6))\/((-1)\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 2\/9  (b) 1\/3  (c) -0.064  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8741465155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*h + 25 + 15 = 0. Let l(m) = m**2 - 10*m + 5. Calculate l(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 8 = -y, -k + 4*y = 6. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -5*q**2 + 5*q - 4. Let t(v) = -11*v**2 + 10*v - 8. Let l(u) = 9*c(u) - 4*t(u). Let i(p) = p**2 - 6*p + 5. What is 3*i(o) + 4*l(o)?\nAnswer: -o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f - 2*f + 1756. Let v(x) = 3*x**2 - 15*x + 40. What is the remainder when f is divided by v(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*l + 15*l + 113*l + (6 - 2 - 3)*(-2*l - 2*l + 3*l) - 2*l - 4*l + 3*l in the form f*l + u and give f.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (195\/(-10))\/(-1)*(32\/(-6))\/(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/34 and (-6)\/20*2\/((-8)\/148).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -6*2\/(-62 - 4). Sort h, -8, -0.1.\nAnswer: -8, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12315*r - 227 + 3482*r - 1206.\nAnswer: 15797*r - 1433","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 642 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/40 of a micrometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 22 - 4. Let a(n) = -n**2 - 10*n + 7. Suppose 1 = -d + 6. Let b(k) = -3*k**2 - 21*k + 15. Let v(j) = d*a(j) - 2*b(j). Determine v(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 7*i. Let v(k) = -k**2 - 6*k. Give -6*d(n) - 7*v(n).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 6 = 2*s, 4*g - 3*s = 398. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 102 + -30411?\nAnswer: -30306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -2*x**2\/5 - 3506*x = 0.\nAnswer: -8765, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a + 5. Suppose 4*d - 26 = -2*v, 18*d - 17 = -v + 15*d. Let r(g) = 3*g - 9. Give v*i(f) + 2*r(f).\nAnswer: f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5.04 - 0.04. Let z = -29074.99975 + 29080. Let c = z - k. Round c to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7848726 millimeters to centimeters.\nAnswer: 0.07848726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 44620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -55\/4 or -130?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1064494 is divided by 81883?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 336471 is divided by 79?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - -9 - (1 - 1) - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 98 = -288. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of -2\/21*y**3 - 110 + 0*y - 1\/7*y**2. Factor z(f).\nAnswer: -2*f*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 times 0.145?\nAnswer: 0.0435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -4*a + 48. Let p be 3*(2 - a\/12). Factor -11*j**2 - 3*j**3 - 3*j + 6*j**2 + p - 3*j**2.\nAnswer: -(j + 1)*(j + 2)*(3*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3794 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 6 = -2*g + 8, -2*g = -3*j + 6. Suppose -76 = b - w, 5*b - j*w = -3*w - 410. Let a = -77 - b. Calculate the smallest common multiple of 3 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3\/1)\/(-1)*1. Suppose -4*c - 1 + 34 = -5*w, -2*w = 4*c + 2. Let v be (-6)\/(-1)*c\/3. Put v, h, -5 in ascending order.\nAnswer: -5, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 210 - 124 - (15 + 51)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 2 + sqrt(192) + -1.\nAnswer: -3 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 91604688 a multiple of 2696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -20\/364803 and -9\/4?\nAnswer: 1459212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125 = -4*y + 3*u, 56 + 99 = 5*y - 5*u. Let s(k) = -k**3 + 4*k**2 - 1. Let h be s(3). Calculate the highest common divisor of h and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6453110846.\nAnswer: 2, 7, 13, 31, 1143763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*s**2 - 131 - 672*s + 672*s.\nAnswer: 4*s**2 - 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5260099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*x + 295065 + 198670 = 12*x. What is the thousands digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 288 and 33?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**2 + x - 5. Let l(g) = 2*g**2 + 3*g - 11. Let w(k) = 6*l(k) - 14*s(k). Let i(b) = -b**2 + 9*b + 19. Let r be i(-2). What is w(r)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -107*j + 102*j = -n - 17, -2*j + 10 = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.7 - -1.3. Which is the fourth biggest value?  (a) t  (b) -0.5  (c) -3\/7  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:14 AM and 9:28 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2242741 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*z**6 + 3*z**4 - 3873*z**3 + 72651*z**2 + 3*z?\nAnswer: 840*z**3 + 72*z - 23238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**20\/b)\/((b*b\/b**(3\/2)*b)\/b)*(b**(1\/18))**(-13\/7) assuming b is positive.\nAnswer: b**(1159\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 + -2 - ((3 - -22) + -32)) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g**2 - 2*g**2 + g**2)*(-g + 2*g + 0*g)*(-7*g + 5*g - 4*g).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 300*c*g**2*z - 4*c*g**2 - 96980*c - 48*g**2*z + g**2 - 11*z wrt z.\nAnswer: 300*c*g**2 - 48*g**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a + 13. Suppose n + n + 18 = 0. Let h be p(n). Solve -r = 1 - h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxxzsxxsxz. Give prob of sequence sx.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 445812 divided by 5?\nAnswer: 445812\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(312)\/(sqrt(216)*-4))\/(-2*sqrt(40)\/(sqrt(80)\/sqrt(8))).\nAnswer: sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 88423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11845 is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 211390, 422776, 634162?\n\"Answer: 211386*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -64\/43165 and 76\/595677.\nAnswer: 2978385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 78 divide 5850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 2*o**4\/3 - 392096*o**3\/3 + 11369210*o**2\/3 - 7056684*o = 0.\nAnswer: 0, 2, 27, 196019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (18\/6 + -3)\/3. Let a(m) = m**3 - 3*m**2 + 2*m + 50. Let c(v) = -v**3 + 4*v**2 - 3*v - 54. Let d(l) = 4*a(l) + 3*c(l). Calculate d(y).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 95, 900, 3135, 7520, 14775, 25620?\nAnswer: 40775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 2245754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*m + m + 3*m)*((0 + 2 - 4)*(3 + 4 - 5) - 14 - 20 + 4) - 2*m - 2 + 2.\nAnswer: 66*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 902?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -852920\nAnswer: -1\/213230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 10797 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h - 2 = w, -37*h - w = -35*h + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1324*w + 9704 = -16916 - 23474 + 5078 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -15\/154 and 69\/61292?\nAnswer: 61292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 201, 1, -9, 4, 0.12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 20 and 20290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 4*z - 338. Let c(p) = -2*p - 57424. What is c(a(j))?\nAnswer: -8*j - 56748","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the third derivative of t**6\/24 + t**4\/12 - 11*t**2. What is the second derivative of u(v) wrt v?\nAnswer: 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*b - 0. Suppose b*n = -4, -6*n = 5*c - n + 15. Let i be 1\/(-2) + (-126)\/(-36). Put 1, i, c in descending order.\nAnswer: i, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -6 - 3*p + 19 + 29. Let v be m(13). Solve f + 16 = -v*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -4*h**2. Let w(d) = 136*d. What is v(w(t))?\nAnswer: -73984*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 718*m - 2. Let j(x) = -393*x + 1. Let c(a) = -5*j(a) - 2*u(a). Let l(r) = 3*r. What is c(l(z))?\nAnswer: 1587*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -4*h + 3*v + 3, -24 = -3*h - 3*v. Let b = 5 + -3. Let l be (3 - b) + (1 - 0). Solve -i + 13 = -l*k, -4*k - h = 5*i + 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 940 - 1004. Let z = 0.1348 + -71.4348. Let u = z - j. What is u rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 952 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z - 16 = g, -68*z + 108 - 27 = 4*g - 191 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -62, -121, -180?\n\"Answer: -59*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 4828 + 4200. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.136 times -1250?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -0*h + 4*h - 38, 3*x + 66 = 5*h. Let q = 24 - h. Solve -2*j - 3*j + 2*l = q, -l = 2*j + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 248 a factor of 1060291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 203627021?\nAnswer: 13, 37, 423341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.5 + -0.8. Let z(c) = c**2 + 2*c - 4. Let s be z(4). Suppose -2*t + s = 3*t. Put 0, t, g in ascending order.\nAnswer: g, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.01 and -261.\nAnswer: -2.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j - 16*j - 10 = 0. What is the fourth biggest value in 6\/5, -3, 4, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 2 = 4*w. Let h = -2 - -6. What is the nearest to w in h, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -2\/15, 1\/206, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3 - -8) + (-2 - -2). Let g(n) = -5*n + 34. Let s be g(k). Suppose 4*f - 12 = 0, 3*q - 5*f + s = q. Solve -5*h - i = -1 - q, 2*h = -4*i + 16 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - w - 75 = 0. Suppose 5*r - 62 = -4*h - 11, 5*h + 3*r - 54 = 0. Solve h*g - w = 4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -100 + 112. Let f(v) = 9*v**4 - 9*v**2 + 12*v. Let i(n) = n**3 + n**2 - n. Let o(s) = j*i(s) + f(s). Solve o(t) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/(-12 - (4 - 23)). What is the biggest value in u, -4, 9\/2, 2\/5, 0.1?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17750627441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 3\/5  (b) -737  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 - -14121?\nAnswer: 14122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29319620?\nAnswer: 2, 5, 11, 133271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 170 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.4 + 0.3. Let p(b) be the second derivative of b**4\/4 - b**3\/6 - 3*b**2\/2 + b + 41. Let q be p(0). What is the nearest to 0.1 in q, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.3  (b) -658  (c) 2\/3  (d) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 + 1 + 6 - 1. Suppose 3*r + r - 4*g - 24 = 0, -y*r = 5*g. Solve 2*v = 3*v + r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in t + 107 + 109 - 320 + 106.\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/(q**(-2\/5)\/q)*(q**4\/q)\/q*q**(2\/5)*q\/(q**(-4)\/q*q) assuming q is positive.\nAnswer: q**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35902 is divided by 17944.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 2408, 2, 4 in ascending order.\nAnswer: -0.4, 2, 4, 2408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1261600 by 78850.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 19*p - 196. Let c be x(-13). Let j = 881\/2 + c. What is the third smallest value in 4, 2, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9493908 + 9493902.999989. Let c = n + 5. Round c to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14543653*w**3 - 15046973*w**2?\nAnswer: -87261918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (651\/441 - (-2)\/3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 392485 + 85515. Round f to the nearest ten thousand.\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**2 - v. Let k(p) = p + 1. Let z be k(-1). Let i be f(z). Solve 5*w - 5*s = 0, i = -s + 3 - 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -815, -3308, -7491, -13358, -20903, -30120, -41003?\n\"Answer: a**3 - 851*a**2 + 53*a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qjyyyqjoiqrjir. What is prob of sequence yr?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3096 + -3063. Let v(i) = -i**2 + 34*i - 21. Determine v(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -661 - -713. Calculate the remainder when p is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13304918 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 q(k) = -21*k + 265. Determine q(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = 4*h + 8, m - 4 = 2*h. Let o be -2 - (1 - m)*0. Let s(r) = 0 + 10*r + 5 - 6. Let y(j) = -3*j. What is o*s(c) - 7*y(c)?\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**3 - 14*c**2 + 33*c + 12. Let m be u(-16). What is the least common multiple of m\/(-6)*(-27)\/(-2) and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rt when two letters picked without replacement from nntnhhrtdnddhnndntn?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11734*p + 64 = 11766*p. Let 14\/25*n**4 + 42\/25*n**3 - 62\/25*n**p - 8\/25*n - 2\/5*n**5 + 24\/25 = 0. Calculate n.\nAnswer: -2, -3\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 135136 divided by 656.\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -1750*v + 575766. Calculate c(329).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:44 AM and 10:03 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 52841393669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -2*i + 35. Let m(f) = 2. Let q(n) = -6*m(n) + p(n). What is q(13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the third derivative of f**5\/60 + f**4\/24 - f**3 + 7*f**2. Let h be i(2). Suppose h*s = 9*s - 324. What is the remainder when s is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (39\/975*-25)\/(-1*(-4)\/140)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 - k**2)*(60*k + 56*k - 74*k) to the form c*k**2 + l + d*k + a*k**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -1439870 to the nearest ten thousand.\nAnswer: -1440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/7?  (a) -4  (b) 2.2  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11875 - 11873. Suppose 4*t - 10 = -n, 5*n + t - 10 = n. Solve 4*h = -20, n*h - 10 = q*o + 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h. Let i(u) = u**2 + 2*u - 2. Let d(b) = -b**2 + 8*b + 8. Let k be d(8). Suppose 32 + k = 5*m. Let n = -5 + m. Determine n*v(y) - i(y).\nAnswer: -y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 5*a - 2 + 92*a**2 + 9 - 73*a**2. Is w(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -60, -240, -540, -960, -1500, -2160?\nAnswer: -2940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13\/4 or 27?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -143 by 2109.\nAnswer: -143\/2109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 2*f + 12. Let z(h) = -5806*h + 2906*h + 2904*h. What is z(u(l))?\nAnswer: 8*l + 48","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange -94*p + 17*p**2 + 94*p + (0 - 4*p + 0)*(-3*p + p + p) to the form w*p + i + a*p**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - i**2 - 1 + (i + i - 3*i)*(-2*i - i + 5*i) - i + i + 5*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(30\/(-8)*-1)*370\/5476.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 97 - 2*r - 26 - r**2 - 7 + 3*r**2 + 7*r**2 as b*r + w*r**2 + g and give g.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -g + 404, y = 2*y + 2*g - 101. Suppose -3*f + 11 = -4, 0 = 3*r + 4*f - y. Let b be 43\/(-9) - 6\/r. Let n(u) = u + 2. Determine n(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/10*10*(16\/2)\/(-24)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.49 minus -173?\nAnswer: 173.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((0 + 0)\/2)\/2. Suppose b + l*b + 8699998 = -q, 4*b = q + 8700008. Round q to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bkzzzkzzka. Give prob of sequence zzba.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 0.2  (b) -1\/6  (c) 2  (d) 1  (e) -44.5028\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 34\/(-119) - (0 - (-51)\/(-7)). Let v(y) = -11*y**3 + 6*y**2 - 6*y - 6. Let m(a) = -12*a**3 + 7*a**2 - 7*a - 7. Calculate b*v(x) - 6*m(x).\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 392148000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -87*y**3 - 698*y**2 - 22*y - 53. Determine t(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 2\/13, 11, -6\/41, -116, 0, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 32279 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 173064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -0.406, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ckkckkcckccckkcckkc. What is prob of picking 2 c and 1 k?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -4 + 3500\/450 + 4\/(-2) + 4\/(-2). Let s = 6 + -5.6. Sort c, s, -1, 1 in ascending order.\nAnswer: -1, c, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 361 and 52687 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 4*w - w, -3*w = -5*y + 9. Let z = -4 + w. Let b be z\/((-6)\/9) - -1. Solve 4*c = b*m - 4, -c + 3 = -0*c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + 11\/(132\/(-84)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 224 (base 7) to base 12.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -12*y + 126. Let h(p) = -1733*p + 1. Give h(v(z)).\nAnswer: 20796*z - 218357","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 15 and 5373.\nAnswer: 26865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.104?  (a) 3  (b) 100  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2116170 + 1059299 + 1056871 - 10*l**3.\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the first derivative of 3*n**4\/4 - 4*n**3\/3 + n**2 + 3*n + 6068. Let b(s) = -4*s**3 + 3*s**2 - s - 2. Determine 4*b(l) + 3*q(l).\nAnswer: -7*l**3 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -2 - 14\/((-168)\/(-108))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*a = -5013 + 1387. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10 - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -3*a**2. Suppose -25 = -4*l - l. Suppose -l*k = -2*y - 3*y + 10, 3*y + 4*k = 41. Let m(r) = y*r - 4*r - 5*r. Determine v(m(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.2 - -2.8. What is the second biggest value in 0, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64 = -9*j + 134. Let k be 11\/55 - 19\/(-5). Suppose -299 = -5*t - k*u - 24, -5*u + 110 = 2*t. What is the greatest common divisor of t and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 6, i: 4}. What is prob of picking 2 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -671 + 675. Let k(n) be the second derivative of 3\/20*n**5 + 0*n**2 + n + 0 + 0*n**3 + 1\/2*n**h. Let k(c) = 0. What is c?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = -217787*f + 217786*f + 9, -2*f - 6 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -3*i**2 - 33*i - 62. Let j(g) = -2*g**2 - 18*g - 29. Calculate -5*j(f) + 3*y(f).\nAnswer: f**2 - 9*f - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 23471083 and 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8\/24 - (-1)\/(-3). Let r be (-13)\/((-5)\/(-10) - i). Let p = -24 - r. Solve 2*k - p = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 + 8*m**2 - 163*m + 22. Determine d(-18).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5.1 - -5. Let f = i - 0.4. Let q = -0.6 - f. Which is the closest to -0.1?  (a) 1  (b) -0.2  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -361 and -1.\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:47 AM and 2:26 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -y - 5*y + 5*y + 6*y - 8*y + 8*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/(35\/10*(-3)\/(-7))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -83, -5, 67?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1792002 is divided by 77912?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 0 - (-5 + 21 - 13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7363.87 litres?\nAnswer: 7363870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47613 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-19)\/(-7) + 8\/28. Let i(z) = 3*z**3 - z**2 - z - 1. Let l be i(2). Suppose -4*q + q = -2*x - l, a*q - x = 22. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 2*n**4\/11 - 14*n**3\/11 + 30*n**2\/11 - 18*n\/11 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.24 + -0.24. Suppose -5*l = 5, -2*h - 2*l + 2 = -6*l. What is the closest to j in 0.5, -3\/4, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = 5*j - 34 + 23, 0 = -3*j - 5*b + 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 37\/13 + 2\/13. Let l be 10*(80\/(-28) + v). What is r in 0 + 2\/7*r**5 - 6\/7*r**3 - 4\/7*r + l*r**2 - 2\/7*r**4 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -116*o**3 - o**2 - o + 1. Let d be i(1). Let l = 120 + d. Solve -q = -l*q - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.229 - -1.759. Let q = y - 1.6. Round q to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -27, -5, -3.7, 71?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 - -10. Solve -3*o + a = -8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4c1 (base 14) in base 16?\nAnswer: 3b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/8 - (-51)\/60. Let t(k) = k**2 + 2*k - 8. Let w be t(-8). Let u be 4\/(-20) + (-12)\/w. Which is the nearest to 0.1?  (a) -2  (b) x  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3415\/25366 - -2\/1153. Which is the second biggest value?  (a) -2\/7  (b) x  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*z + 8*z + 7*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 926*y - 14863*y + 278740 = 0 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 56 and 2436?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6)\/(-3)*2\/((-8)\/(-6)). Suppose 0 = -2*m + k - 1, 4*m - 20 = -4*q. Solve -3*v = v + q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 9*f**5\/5 - 6*f**4 + 18*f**3\/5 + 24*f**2\/5 - 27*f\/5 + 6\/5 = 0.\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -9644*-7254\nAnswer: 69957576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**2 + 7*n + 8. Calculate f(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 48 + -30. Let a = 17.9964 - p. Round a to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.09 and -455595.\nAnswer: -41003.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(242) + sqrt(242) + 2)**2 + sqrt(2) + 2 + 0.\nAnswer: 89*sqrt(2) + 974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8595?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yexddsyfseyd. What is prob of picking 1 e, 1 f, and 1 d?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes after 10:43 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13212187?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26*k**2 + 20*k**2 - 44*k**2 - 2)*((-4 - 3 + 5)*(-3*k**2 + 7*k**2 - 2*k**2) - 49*k**2 - 65*k**2 + 39*k**2).\nAnswer: -158*k**4 + 158*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -13 - -45a78?\nAnswer: 45a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 8)*(h - h + h**4).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1515324 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**2 - 125*o - 3788. What is r(-73)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1336, -1340, -1350, -1366, -1388, -1416?\nAnswer: -1450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8.3 + -8.2. What is the nearest to -2 in -0.5, -2\/7, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56\/5*t - 12*t**2 - 2\/5*t**4 + 24\/5*t**3 - 18\/5 = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + -2 + 2 - (-33 - -29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -10*b + 6*b - 396, -3*k = 3*b + 594. Which is greater: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x - x = 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 889 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 11 + (-16 - -10) - 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 less than 0.112?\nAnswer: -21.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve p = -6*z + 56, 5*p + 1194 = -5*z + 2*p + 1245 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.4912571 milligrams?\nAnswer: 491.2571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -211221 (base 3) to base 16\nAnswer: -26b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*b**3 + 44*b**3 - 12*b**3 + 19*b**3.\nAnswer: 63*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the third derivative of -w**5\/30 + 80*w**2. Let u(j) = -44*j**2. Calculate x(u(o)).\nAnswer: -3872*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 1 + sqrt(80) + -2 + sqrt(80))**2.\nAnswer: -80*sqrt(5) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**3 + 4*k**2 - 5*k. Let x be p(-5). Suppose -4*l + 3*l = 2*g, x = g + 2. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 205987 is divided by 271.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4975 - -8978. Suppose 5*h - s = -v, 0 = -h - 5*v + 513 + 302. Is h a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 122119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 - 12. Let w be ((q\/(-8))\/((-11)\/88))\/(-2). What is the highest common divisor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/2 of a century in decades?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(66)\/sqrt(6) + 1).\nAnswer: 4 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.063, 2, 0.5, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 134 and 1183153?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**2 + 4*p - 11. Suppose 4*h - 20 = 2*z, -4*z - 13 = -5. Let y be m(h). What is the greatest common divisor of y and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101393.4 rounded to the nearest one thousand?\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 205.5214m to millimeters.\nAnswer: 205521.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 337571 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 11) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2050907679.\nAnswer: 3, 10657, 21383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 37 + 47 = 5*h, y + 3*h = 22. Factor -y + 8\/5*v**3 + 168*v - 162\/5*v**2.\nAnswer: 2*(v - 10)**2*(4*v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4.631 + 0.031. Let d = v - 34.4. Let g = d + 39.00000001. What is g rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 208290735?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 456, 571, 688, 807, 928, 1051, 1176?\n\"Answer: u**2 + 112*u + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 + 2 + 1)*(106*r**5 - 31 + 39 - 8).\nAnswer: -848*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 7412817.\nAnswer: 5\/7412817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**2 - 4*y - 24. Let n(h) = 15*h + 70 + 6*h**2 - 12 + 38. Let r(v) = -9*b(v) - 2*n(v). Find c, given that r(c) = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 5*r + 21, 3*r - 14 = 3*o - r. What is the third derivative of -4*s**2 - 4*s**4 - o*s**2 + 3*s**2 + 11*s**4 wrt s?\nAnswer: 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1485373550 rounded to the nearest 100000?\nAnswer: 1485400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, n: 8, t: 9, o: 2}. What is prob of sequence zt?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 147, 958, 2435, 4584, 7411, 10922, 15123?\n\"Answer: u**3 + 327*u**2 - 177*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -1\/4, 1\/4, -1.7, -5 in decreasing order.\nAnswer: 9, 1\/4, -1\/4, -1.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**2 + 4*s + 90. Let n(r) = -2*r**2 + 3*r + 2. Calculate -n(t) + p(t).\nAnswer: 3*t**2 + t + 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01 less than 26.9471?\nAnswer: 26.9571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 7, -3, -0.04.\nAnswer: -3, -0.04, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/14 and 8\/623.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -j**5 - 1549*j**3 + 31*j - 13?\nAnswer: -20*j**3 - 9294*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-10)\/15 + (-28)\/(-153). Let f = -12\/17 - v. Let z = -0.14 + 0.09. Put z, -1\/8, f in ascending order.\nAnswer: f, -1\/8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17145 is divided by 659.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 15 (base 13) to base 3\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -27\/5 - -29\/5. Let -6\/5*x + c*x**2 + 4\/5 = 0. What is x?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from chccchc. What is prob of picking 2 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(147) + 0 + sqrt(147) + sqrt(147))*-5 + -1 + sqrt(147) + -5)**2.\nAnswer: 1176*sqrt(3) + 28844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/(11 + (-43 - -29)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 4*y)*(-5*y**2 + 5*y**2 - 2*y**2)*(4 - 4 - 4).\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 8, 4, -1\/3, -11.2, -3\/289?\nAnswer: -3\/289","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -23*o**5 - 12*o**3 + 14*o**2. Let q(p) = -24*p**5 - 14*p**3 + 15*p**2. Let b(z) = -6*q(z) + 7*s(z). Find the third derivative of b(v) wrt v.\nAnswer: -1020*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.05 and 22?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1192726?\nAnswer: 2, 596363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.5 - 2.9. Let w = 0.3 - d. Let s = -2 - -3. Which is the nearest to s?  (a) w  (b) 0.2  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/((-27)\/6) - (-3985)\/(-900) and -17\/50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 71 - 8 - (4 + -4 + 4 + 123 + -127)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*l**5 + 333*l**4 - 873*l**3 - 996*l**2 + 4428*l - 432 = 0.\nAnswer: -2, 1\/10, 3, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 940 + -589. Let n = -352 + w. What is the third biggest value in -0.3, -208, n?\nAnswer: -208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 - -88. What is the remainder when i is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3079861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 131469 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8 - -1) + (1 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/3)\/((y*y*(y**(-1\/9)*y)\/y)\/y))\/(y*y*y*y**1*y)**10*(y\/(y*((y*y*y**1)\/y)\/y))**45\/((y\/y**(-3\/5)*y)\/(y*y**1)) assuming y is positive.\nAnswer: y**(-4327\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 1 + 5)*(-17 + 5*b + 17)*(14 - 23 - 92) to f*b + y and give f.\nAnswer: -3535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -865 + 7787\/9. Put -0.2, -5, 1\/8, q in descending order.\nAnswer: q, 1\/8, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 3*v - 33 = 0, 3*q - v + 4*v = 30. Suppose -3*x = -3*p - 27, 4*x + 5*p - 19 = x. Calculate the smallest common multiple of x and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1184 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -10195106*b**2 + 44366801?\nAnswer: -20390212*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one fifth of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c - 4*p - 9 - 1, -4*c + 14 = -2*p. Suppose -4*t + c*b = 3*b - 101, -t + 5*b = 1. Let s be ((-1)\/(-10))\/(4\/t). Which is smaller: s or 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -623883734, -623883733, -623883732, -623883731, -623883730?\n\"Answer: t - 623883735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 114*c**3 - 106*c**3 - 2026*c**2 - 2020*c**2 + 6071*c**2 - 2025*c**2 - 9*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -43 + 53. What is the remainder when 26 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 17 - -24. What are the prime factors of r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1374357 is divided by 105717.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*z**3 - 12706562*z**2 + 152478528*z - 457435368 = 0. Calculate z.\nAnswer: 6, 6353269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14 - 35. Let o be 9\/(-105) + (-6)\/p. Which is the third smallest value?  (a) -0.1  (b) o  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q + 81 = 5*x, -110285*x = -220571*x + 110284*x + 6*q + 12 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2834169 is divided by 35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15 - 365*s**2 - 8 + 243616*s - 243616*s to the form y*s + u + m*s**2 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**2 - 13*m + 5. Let f(g) = 12*g + 11. Let l be f(-2). Let v be r(l). Suppose 20 = k - 5*d, 3*k = k + v*d + 45. Solve 0 = 5*b - k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -267 and 2966605232.\nAnswer: 2966604965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 13\/4 of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16470, -14971, -10912, -3015, 9998, 29405, 56484, 92513?\nAnswer: 138770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -150+-70.59266\nAnswer: -220.59266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + 1 + -17 + -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 177937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/8 + (-41)\/(-4))*((-27716)\/507)\/(-164)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -4. Let n(c) = c**3 + 7*c**2 + 3*c - 11. Let s be n(-6). Suppose -s*w + 7 = -28. Solve 2*q + w = -f*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*g**2*q**3 + 147*g**2*q**2 + 24*g**2*q + g**2 - 144*g*q**3 + g*q**2 + 3*g*q - 3*q**3 + 159*q wrt g.\nAnswer: 4*q**3 + 294*q**2 + 48*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 - -1. Suppose -3*v + 4*v = -3*p + 12, -2*p = 3*v - 8. Let n be (6\/(-15))\/(v - 1). Is a at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ghhlgggghhlg. What is prob of picking 1 h, 2 g, and 1 l?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 1, 5*r - 600 = -10*l + 15*l. Let v = 133 + l. Calculate the smallest common multiple of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -3*f + 7, 2*g = -6*f + f + 17. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 31 = 3*f, s = -f - 0*s + 7. Suppose p + f = u + 9, 29 = 2*p - 5*u. Let z(x) = 6*x**2 - 3*x. Let v(r) = -5*r**2 + 2*r. Determine p*z(l) + 3*v(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(3\/7)\/(n**19\/n) assuming n is positive.\nAnswer: n**(-123\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**3 - 10*u**2 + 4*u - 3. Let a be (45\/20)\/(1\/(-4)). Let v be 1 + a\/(-1) - 0. Calculate the remainder when i(v) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*b + 51 + 117 = 0. Let f(r) = -r**3 - 7*r**2 + 8*r + 2. Let j be f(b). Solve z + 0*z - 2 = -j*t, 5*t - 6 = -2*z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/(-8))\/(177\/(-12)). Let n = v - -115\/177. Let q = -1208 + 1208.1. Which is the closest to n?  (a) -1  (b) q  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the first derivative of -k**3\/3 - 5*k**2\/2 + 3*k - 193. Let h(c) = -c**2 - 11*c + 7. Calculate 3*h(b) - 7*z(b).\nAnswer: 4*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(5))*5*5.\nAnswer: 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10509\/(-279) + 37)*(-12)\/34*1?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 3*v**2 + 7*v. Let i be z(-5). Suppose -4*h - 32 = 2*x - 6*x, 0 = 5*h + 5*x + i. Calculate the remainder when 16 is divided by 4\/3*(-36)\/h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -39*w - 267 + 384 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2)\/7 + (-42928)\/(-14)?\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 - -4. Determine m so that -6\/7*m + 0 - 3\/7*m**b = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and -17838.\nAnswer: -7135.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 6927 a factor of 133379385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + n**3)*(-2 - 1 - 1) - 2*n**3 - 3*n**3 + 4*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g**4 + 192*g**3 - 2708*g**2 + 12552*g - 18144 = 0 for g.\nAnswer: 3, 4, 14, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-69 + 69 + 62*n)*(-n**3 - n**3 + n**3)*(2*n - n - 2*n)*(-1 + 0 - 2).\nAnswer: -186*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 600 a factor of 16931756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z + z**2 + z**3 + 2*z + 3*z)*(20 + 12 - 40).\nAnswer: -8*z**3 - 8*z**2 - 16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 7217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -2*l**3 - 17*l**2 + 15*l + 22. Let u be b(-7). Let z = 3591 + -6737\/2. Let s = z + u. Is -9 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 283152 and 2304080.\nAnswer: 117508080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3081331, 6162660, 9243989, 12325318, 15406647?\nAnswer: 18487976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 8*o**3 + 10*o**2 - 3. Let w(m) = -9*m**3 - 10*m**2 + 2. Let r(b) = -2*v(b) - 3*w(b). What is the third derivative of r(x) wrt x?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*v = 2*v + 2*v - 4*w, 3*v + 2*w = -6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -21*w - 8. Let s be y(14). Let x = 447 + s. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4035 divided by 5.\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5484.247 years to months.\nAnswer: 65810.964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1565062209 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 divided by -901716.\nAnswer: -2\/75143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 24 = v, 4*v - 5*k = 78 + 31. Let u = 28 - v. Let r(w) = 10*w**2 - 27*w**2 + 14*w**u. Let b(n) = 2*n. Give b(r(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of -79*v**5\/20 - 370*v**3\/3 + 26*v**2 + 4. Find the first derivative of l(w) wrt w.\nAnswer: -474*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -129488575 + -0.47705?\nAnswer: -129488575.47705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -9a780 (base 16) to base 9\nAnswer: -1163814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -22\/53 and -89\/2?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 385*h**4*l + 10*h**3*l**3 + 244*h**3 - 181387*h**2*l**3 + 2*h**2*l**2 + h*l**3 + 7*l**2 wrt h.\nAnswer: 9240*h*l + 60*l**3 + 1464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**3 + 21*q**2 - 24*q - 48. What is k(-22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -262928 + 262931 - l**4 - 2*l**3 + 0*l**3 - 4*l + 22*l**2 in the form o*l + g*l**3 + z*l**2 + j + f*l**4 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*b - 97 - 52 - 22 = 0 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9 + -4. Let r(l) = l**2 - 161*l - 31346. Let u be r(-114). Sort -4, a, u.\nAnswer: a, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n*((n\/(n*n**(-9)))\/n*n)\/n))\/(n**(-4\/3)*n*n)*((n*n**(1\/30))\/n)\/(n**(-16)*n) assuming n is positive.\nAnswer: n**(191\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-56)\/4)\/((-14)\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*w - 126 = 3*w. Suppose 2*o + 6 = 5*y, 5*y + 17 - w = 0. What is the third smallest value in -1\/4, o, 2, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*f**2 + 17*f**2 - 234511*f**3 + 469034*f**3 - 234531*f**3.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 513*i - 22. Let q(x) = -37*x + 1. What is -9*q(v) - s(v)?\nAnswer: -180*v + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 f when two letters picked without replacement from {w: 5, c: 5, n: 9, f: 1}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 267400271 to the power of 1\/3, to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -135 = -4*u + 81. Let d = 85 - u. Let x = 37 - d. Solve 0 = -2*n - 4 + x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes before 6:04 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 10 = -6, 3*c + 5*o - 2498 = 0. What are the prime factors of c?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c, -5*c - 3 = -p - 0. Solve 3*t = 3*w - 3, 7*t = 4*t + 2*w - p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 6*v**3 - 5*v**2 + 11*v - 21. Let u(d) = -d**3 - 2*d. What is -a(x) - 5*u(x)?\nAnswer: -x**3 + 5*x**2 - x + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -364*r**2. Let z(l) be the third derivative of 0 + 0*l**3 + 2*l - 1\/12*l**4 - 40*l**2. What is z(p(v))?\nAnswer: 728*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 - 26*v - 2. Let r be d(-5). Let q(i) = 372*i**3 + 4*i - 17. Is q(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, i: 2, z: 1, t: 2, o: 1, g: 1}. What is prob of picking 1 g, 1 z, and 1 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n**4\/2 + 120097*n**3\/3 + 40046*n**2\/3 - 360291*n - 240195\/2 = 0.\nAnswer: -3, -1\/3, 3, 80065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-14)\/(-21))\/(2\/6). Suppose d = w - 0*w. Suppose 3*v = w + 4. Solve 5*p + 4*c + 20 = 0, -4*p - 10 = v*c + 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 129*x - 3. Let y(g) = -1030*g + 25. Calculate -50*u(o) - 6*y(o).\nAnswer: -270*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*c + 220 + c - 217.\nAnswer: c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5151 - -7201. Calculate the remainder when q is divided by 171.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -14, -23, -34, -47?\n\"Answer: -z**2 - 6*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1633185 times 0.4?\nAnswer: -653274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.61 + -0.19. Let i = h + 3.4. Put i, 2\/5, 1\/10 in increasing order.\nAnswer: 1\/10, 2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -18 - -20. Let c(l) = l - 3. Let k be c(0). Let d = 4 + k. Solve z*t = d - 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/3, 2\/19, 15 in decreasing order.\nAnswer: 15, 2\/19, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y**2 - 102*y - 9212 = 0. What is y?\nAnswer: -47, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 4. Let t(y) = y + 20. Give -11*m(x) + 2*t(x).\nAnswer: 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3002012 (base 4) in base 11?\nAnswer: 9373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 125027.\nAnswer: 7, 53, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 98676?\nAnswer: 2, 3, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -241 + 507. Calculate the smallest common multiple of a and 10.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/125 of a milligram in nanograms?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/(915\/(-229) - (19 - 23)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y - 4*y + 5*t - 216, -4*y + 2*t - 274 = 0. Let a = -59 - y. Solve -4*f + a = 20 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -255691 divided by -111.\nAnswer: 255691\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**9*x)**(2\/55))**(-6\/11) assuming x is positive.\nAnswer: x**(-12\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -8, -1, -2 in increasing order.\nAnswer: -8, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes after 3:23 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.7 + 0.3. Sort -1, -1\/3, p in decreasing order.\nAnswer: p, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 3 + 0 = 0, -3*y - 12 = -b. Let s be 868\/(-8) - y\/(-2). Does 22 divide ((-32)\/(-10))\/((-4)\/s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3171 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/(-4)*24\/9. Suppose 0 = -q*m - 20, 0*x + 6 = -2*x - 2*m. Suppose 0*n = -p - x*n + 227, 0 = -p - n + 224. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, t: 1, d: 3, g: 1, c: 3}. Give prob of sequence ktkg.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kbc when three letters picked without replacement from {e: 6, c: 1, k: 5, b: 6}?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the third derivative of -3*z**4\/8 + z**3\/3 + 7*z**2 - 2*z. Let a(t) = 152 - 298 + 146 - 3*t**2. Determine w(a(g)).\nAnswer: 27*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:15 AM and 9:38 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 11 + -5 - 2 - 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1170 and 720?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 21213606 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes after 1:28 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3 and -556.\nAnswer: -559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2221201 - -331023?\nAnswer: 3212230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(72) + 4 + 6*(1 + sqrt(8) - sqrt(8))**2 - ((sqrt(48)\/sqrt(4))\/sqrt(2))\/((sqrt(108) - (sqrt(108)*-1 + sqrt(108))) + sqrt(3)).\nAnswer: 41*sqrt(2)\/7 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 + -11 - 1) + 6 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-4) - 75\/(-2). Suppose 169 = 3*w + g. Suppose -3*k - w = -7*k. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -5*u - 63. Let n be r(-13). Suppose -8*k - 280 = n*k. Let z be 5 - k\/5 - (-6)\/15. Do z and 14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 51 and 431443.\nAnswer: 1294329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 81174, 81189, 81204?\nAnswer: 81219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 - (27 + -15 + (2 - (-9 - -13)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -46 - -47. Let f(g) = 5130001*g**3 - g. Let x be f(a). What is x rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 68\/119 + 1635\/(-7). Let q = j + 469\/2. Factor -1\/2*b**2 - 1 - q*b.\nAnswer: -(b + 1)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*u**2\/5 + 1016*u\/5 + 64516\/5.\nAnswer: 4*(u + 127)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1417.5 + 1437.4. What is the biggest value in j, -0.3, 0.14?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*j = j - 6864. Calculate the lowest common multiple of j and 231.\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 24*t. Let f be w(1). Let x = -49\/2 + f. Let v = 173.2 + -173. What is the third biggest value in x, 5, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1993, -3549, -5121, -6715, -8337?\nAnswer: -9993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -188*a**3 - 180*a**3 + 367*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5212 is divided by 628?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 398 = -530*s + 499*s, -4*s = 2*x - 42 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2040597 and 1?\nAnswer: 2040596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 3*c - 287, 5*m + c - 68 = -441. Let r = m - -77. Suppose 0 = n + 3*d - 44, 176 = n + r*n - d. What is the highest common factor of 22 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16 + 0)*(-9)\/((-864)\/16)*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**2 + 20*u - 125. Let g be d(5). Let f be (-1)\/2 - (-393)\/2. Suppose 0 = -7*y - g*y + f. Solve y = -4*r - 4*p, -2*r - 2*r - 2*p - 24 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of -717*d**4\/4 + 8651*d**2\/2 - 3680*d. Differentiate y(b) wrt b.\nAnswer: -4302*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 102*i. Let m be a(1). Suppose -4*x = -5*w - m + 13, 85 = 4*x - w. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 134783 = 81*m - 80*m - 4*s, 4*s = -2*m + 269626. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c + 2*k - 10, 2 = -2*c - 0*c + k. Let n = -10.7 - -11.91. Let d = n - 1.01. Put d, c, -0.4 in decreasing order.\nAnswer: c, d, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 3*v**3 - 36*v**2 - 75*v + 98. Let f(n) = 5*n**3 - 55*n**2 - 113*n + 147. Let x(h) = 5*f(h) - 8*u(h). Factor x(w).\nAnswer: (w - 1)*(w + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (-9 + -16 + (5 + 7 - 6)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 73842825 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -164 + 44 = -3*a. Calculate the least common multiple of 8 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the first derivative of -y**4\/12 + y**3\/3 - y**2\/2 + y\/3 + 3. What is f in p(f) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100001000110 (base 2) to base 15.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19 + 14 - 13)*(3*b - 3*b - b + 3*b + 0*b - 2*b + b + 2*b - b + (-1 - 2 + 1)*(-4*b + b + 4*b) + b - 6*b + 3*b - 4*b + b + b).\nAnswer: -80*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -11 + 2 + q**2 + 10*q + 0*q. Let a(s) = -3*s + 7. Let n be a(6). Let c be w(n). Solve -4*p - 4 = -3*t + 3, 4*t - c*p = 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -r - 5*c, 5*r - 79 = 5*c - 29. Suppose 2*x - 12 = -2*u + 5*u, -r*u = -x + 20. Solve 5*t - 2*l + 13 = -5*l, t + 5*l + 7 = x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26027119 to the power of 1\/2, to the nearest integer?\nAnswer: 5102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 5*x + 3. Let z = 29 + -27. Let c(d) be the first derivative of z - d - 1\/2*d**2. Give -3*c(a) - j(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 121.1 - 128. Let b = 7 + h. What is the closest to b in -0.1, 2\/7, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 - -3240?\nAnswer: 3232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 24 - 17)*(0 + 1 + 1)*(0*s + 2*s**2 + 0*s).\nAnswer: -144*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5*(-18)\/150)\/(459\/(-1020)))\/(2032\/(-24)).\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 393, 1482, 3307, 5874, 9189, 13258, 18087?\n\"Answer: g**3 + 362*g**2 - 4*g + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 24655 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -662 - -1263\/2. Find the common denominator of r and -89\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -15736.9990238 + 15737. Round b to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**3 - 5*o**2 + 7*o + 6. Let x be j(-6). Let s(n) = -n**2 - n + 13. What is the remainder when s(x) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 538480?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1111000102 (base 3) in base 14?\nAnswer: a8b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 2*q = 18, -2*a + q = 4*q - 13. Suppose 3*c - a*c - 3*m + 18 = 0, 2*m = -3*c + 37. Let r = c - -5. What is the least common multiple of r and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/30 and -37\/348?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 4, k: 2}. Give prob of picking 2 k and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -2*d**2 - 3*d + 3. Let h(b) = 4*b**2 + 6*b - 7. Suppose 0 = 35*c - 36*c, -2*c + 39 = 3*v. What is v*f(p) + 6*h(p)?\nAnswer: -2*p**2 - 3*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*h**5 - 26165*h**3 - 650*h + 34 wrt h.\nAnswer: -60*h**3 - 156990*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 0.103  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-4) - (-6)\/(-4). Let w = 34 - 31. Suppose w*o = -5*a + 31, 4*a - a - 5*o = 5. Put 1, a, m in descending order.\nAnswer: a, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v. Let b = -5 + 17. Suppose -g - 2*g + b = 0. Let c(l) = 0*l**2 + 3*l**2 - g*l**2. What is z(c(w))?\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 33 - 45. Let b = 17 + i. Let h(v) = 7*v - 2. What is the tens digit of h(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 23 = 4*y + 11, -30 = -5*y - 5*q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a day in seconds?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 155781967 and 253.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 2\/25, -18, 3\/2, -2, -0.65, -1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -5*k + 3*b, 0 = 2*k - b + 5*b - 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -17798, -17803, -17812, -17825, -17842, -17863?\n\"Answer: -2*i**2 + i - 17797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2961 - 2959.4. Let w = -5.5 + 5. Which is the nearest to 2?  (a) -2  (b) w  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1207971651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 - -20?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 2*o + 10 = 0. What are the prime factors of (-4)\/o - (-132)\/20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k - 4*l + 28 - 706, -k - 2*l = -343. Suppose -n = -k - 36. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + 27. Let t = r - 12. Solve 0 = y - 3*c + 5 - t, 2*y + 5*c = -31 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q**3 + q**3 + 0*q**3 + (-20*q + 17*q**2 + 20*q)*(-1 + 1 - 2*q))*(3 - 1 + 1).\nAnswer: -93*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*p + 12*p = 6. Solve -2*t - 14 = t - 4*g, p*g = 3*t + 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v - 9 = 3*x, 2*v + 386 - 389 = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**3 + 12*c**2 + c - 3. Let l be h(12). Suppose 6*u - 9 - l = 0. Suppose u*y = 5*y - 0*y. Is -1\/12 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2141, -2119, -2085, -2039, -1981, -1911, -1829?\n\"Answer: 6*k**2 + 4*k - 2151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4063*y**2 + 3357*y wrt y.\nAnswer: -8126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes before 4:25 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 a factor of 17764364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-14)\/(35\/(-5)) + (-244)\/(-1)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 22152 = 12702. Let l = -5101 - v. Is 22 a factor of (-1)\/3 + l\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6011874 divided by 6?\nAnswer: -1001979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 24.48712 litres?\nAnswer: 24487.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 246 + -194. Let j be (2*g\/(-24) - -4)*-3. Which is smaller: -2\/645 or j?\nAnswer: -2\/645","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47 = 23*s + 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7657968 is divided by 2552600?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - m + 9090 = 0, 5*x + 4*m + 3017 = 6*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 142 at most as big as 7093\/50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 9695060069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/2 + 52\/(-4). Let j be (b\/(-16))\/(2\/(-200)). Let a = -51 - j. Solve 0 = -4*f + 5*o - 6 - 6, 2*f + 5*o = a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 7172623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = 2*n, -3*z + 7 = -4*n + 3*n. Let y = n + 6. Solve 3*r = r + 2*s + 2, -3*s = -y*r + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 19 and 81977400.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.4906 or -61?\nAnswer: -0.4906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the second derivative of 2147*n**3\/3 - n**2 - n + 4. Suppose -2 = w + 15. Let j be c(w). What is j rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3\/((-12)\/20)*16\/20\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2503330 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/144*30)\/((-1)\/6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-17*r - 32 + 34 - 25*r)*(-12*r**3 + 5*r - 5*r) as g + h*r**3 + d*r + t*r**2 + m*r**4 and give m.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, d: 1, h: 2, o: 1, j: 1, u: 8}. What is prob of picking 1 u and 2 h?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 313 at most as big as 1569\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 2 + -1 + 1 + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7949463 is divided by 68?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (19 - 23) + 5 + (-1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-4*sqrt(7920) - sqrt(7920))\/(3*sqrt(10)\/sqrt(2)).\nAnswer: -80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 940256*u + 9*u**3 - 940256*u.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 861579?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/35*10\/(-8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r**3 + r**3 - 5*r**3)*((-4*r + 0*r + 2*r)*(2 - 3 - 1) - 94*r + 36*r + 26*r).\nAnswer: 140*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 54 times -0.3\nAnswer: -16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*w - 1866 - 30012. What are the prime factors of w?\nAnswer: 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12263118 by 4.\nAnswer: -6131559\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 58826 - 212891290\/3619. Is n not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -30 + 25. Let i = -2.8 - -3. Put h, i, 5 in decreasing order.\nAnswer: 5, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -120, -214, -298, -366, -412, -430, -414?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3\/(-9))\/(1\/(-6)). Suppose -l*u + 26 = -0*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 l when three letters picked without replacement from {u: 7, l: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95280 is divided by 8006.\nAnswer: 7214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 2441*c**2 - 26. Let i(y) = -7932*y**2 + 84. Calculate 9*i(g) + 29*m(g).\nAnswer: -599*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 1\/18  (b) 60  (c) 0.5  (d) 0.2  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.09, 2, -7006 in descending order.\nAnswer: 2, 0.09, -7006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the second derivative of -k**5\/20 + 5*k**3\/6 - 5*k**2\/2 - 6*k. Let b be -3 - 14\/(-21)*12. Let x(r) = -4*r + 4. What is b*x(p) + 4*a(p)?\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 7*s**2. Suppose -2*j + 2 = -0*j. What is n(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 24872016 divided by -239154?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200) + 1 - ((sqrt(32) - sqrt(2)) + -1) - (-2*sqrt(98) + -2)**2)*2.\nAnswer: -788 - 98*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = -w - 8, -8792*w = -8797*w + 12*u - 34 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/20*(-18750)\/(-3500)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 3*p - 2. What is the smallest value in 1\/5, -2\/119, p?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*1*((sqrt(20) + (sqrt(60)\/sqrt(3) - sqrt(20))*-6 + sqrt(20))\/(sqrt(144)*-1) - (-1 + 4 + 2*sqrt(405) + sqrt(405))**2).\nAnswer: 1948*sqrt(5)\/3 + 14616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6628 is divided by 83?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/11 in -805, -108\/5, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 29 = 2*j + 15, -3*b + 5*j = -47. Suppose -4*k + 5*t = -b*k + 2860, t = 5. Is 63 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 46, -27, -206, -491, -882?\nAnswer: -1379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange x - 160*x**2 - 423*x**2 - 10*x**4 + 11*x**4 - 9*x**4 + 6*x**4 to a*x + r*x**4 + c*x**2 + p*x**3 + b and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/11 <= -336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 81 - 78. Suppose -w*s + 1416 = 87. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -42 divided by 109053\nAnswer: -2\/5193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 4*f + 452 = 4*y, -2*y + 211 = 3*f. Calculate the greatest common divisor of 44 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 5, l: 3}. What is prob of sequence llb?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 2*d**5\/3 + 26*d**4 - 1034*d**3\/3 + 3226*d**2\/3 - 1224*d + 1400\/3 = 0.\nAnswer: -50, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/15 in 0.035658, 2\/11, -0.4, 33?\nAnswer: 0.035658","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rotr when four letters picked without replacement from trowtrztzttrrtt?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**32\/k**5 assuming k is positive.\nAnswer: k**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.06 + -8.24. Let o = 8 + i. Sort o, 0.4, 3.\nAnswer: o, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 116144 and 87108.\nAnswer: 348432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 238 + -226. Let n(g) = l*g - g - 12*g. Let q(o) = -19*o. Determine q(n(k)).\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000031795 to 6 dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1*-0.0701\nAnswer: -0.0701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 58*y + 1946*y + 92*y + 1345*y to the form v*y + t and give v.\nAnswer: 3441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -23, 0.4, 9\/5, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2.1 + 9.9. Let r = -7 + b. Let g = -30 - -34. What is the second biggest value in r, 4\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.4  (b) -25  (c) -5  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 16 = -14. Let k = -10 + t. Determine v, given that -1\/4*v + 1\/4*v**3 + 0*v**2 + k = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 3 = 25. What is the greatest common factor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -13*i**2 + 23*i + 340 wrt i.\nAnswer: -26*i + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 724*h - 722*h + 2*g - 18 = 0, 0 = 4*h + 5*g - 28. Let i = 1 + 1. Suppose 3*z + 3*u = 51, 0 = 2*z + i*z - 5*u - 95. Is z greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*k**2 - 1451 + 2043 - 8*k**2 in the form b*k + s*k**2 + d and give d.\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -10*p**2 + 5*p. Let k(q) = 5*q**2 - 2*q. Let c(r) = r**2 - 17*r - 19. Let x be c(13). Let b = x - -66. What is b*k(j) - 2*s(j)?\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {r: 3, p: 5, u: 2}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.8 and -651.\nAnswer: 520.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xj when two letters picked without replacement from {x: 1, j: 4, h: 8}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the second derivative of 0*c**2 - 1\/5*c**5 + 4\/15*c**6 + 79*c - 4*c**4 + 0 + 0*c**3. Find the third derivative of m(q) wrt q.\nAnswer: 192*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1550.73 - 1543. Round y to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**(-2\/5)*k)\/k)\/(k*k**(4\/7)*k*k)*(k*k**1)**(1\/35))\/(k**(-3\/10)*(k\/((k*k\/k**(-2\/9))\/k))\/k)**(1\/71) assuming k is positive.\nAnswer: k**(-174127\/44730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51 - 51 = -6*v. Let w = -14 + v. Solve -5*j - w*s = -3*j, -5*j - 5*s = 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 307 divide 2872029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-84)\/(-21))\/(8\/(-22))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 210 and 10472250?\nAnswer: 73305750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1230*k + 17 = -4*h - 1229*k, -8*k = -40 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ber when three letters picked without replacement from xbherxbbb.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.96067633 rounded to 4 dps?\nAnswer: 1.9607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1242, 5124, 11622, 20730, 32442?\nAnswer: 46752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l + 2. Let j be m(0). Suppose -2*n - j*n + 12 = 0. Let c = n - -1. Solve w = c*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 374033620 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: Let i(f) = -16*f**2 - f. Let k be i(1). Let l(p) = -62*p + 7. Is l(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - 5 = -3*j, -4*j - 28*a + 62 = -2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - 3*y - 3, -y = -f + 6. Let p be f\/(4 + -1 + 0). Let i = 151\/6 + -25. Which is smaller: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10*y**2 + 1185*y + 595.\nAnswer: -5*(y - 119)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*c + 193*c - 36*c - 58*c - 31*c - 32*c.\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Do -12 and -838 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are 171438\/155 and 1106 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 267570073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-22 - 2 - 11)*(-1 + 0 - 1)*(-8*y + 5*y + 0*y) as a + v*y and give v.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + p. Let f be 1038 + 1 + -3 + -1. Let x be (3903\/f - 16\/20) + -3. Are x and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 15) in base 3?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*c**3 - 4*c**3 + 5*c**3 + (-c + 3*c + 0*c)*(2*c**2 - 3*c**2 + 0*c**2) - 26*c**3 - 43*c**3 + 113*c**3.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -2*g**2 + 70*g - 30. What is t(34)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 978 and 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6481\/14 - 3186\/7. Calculate the common denominator of u and -77\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*j**2 - j**2 + 7*j**2 + 7*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 - (20 + 11 + -6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, z: 4, x: 6, g: 3, d: 3}. Give prob of sequence oo.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -144.51 + 149.51. Which is the biggest value?  (a) v  (b) -27  (c) -0.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the third derivative of -2*b**4\/3 - b**3\/3 - 3115*b**2. Let c(j) = 7*j. Calculate k(c(y)).\nAnswer: -112*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (24 - (3 + -75 + 70 + 8 + 0)) + 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 94081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -31 (base 9) in base 8?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/((-6 - -41)\/(-7)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 = 4*w - 2*j - 179, 3*j + 144 = 4*w. Calculate the greatest common factor of 33 and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 650 + 82. Let c be (1 - -1)*(-2 - -4). Suppose c*t + 5*f - u = 435, f + 1466 = 5*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1118050 and 1677075?\nAnswer: 3354150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*-96659138.\nAnswer: -9665913.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.154 - -128.\nAnswer: 127.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 + 6418 + (-15 - -6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 714 and 12?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1674722 and 980?\nAnswer: 16747220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from qbbbqqbqbbbqbbbqbbb?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2263 and 1.\nAnswer: -2263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -10 - -40120?\nAnswer: 40110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n - 2*n + n)*(0 + 5 + 0) + 15*n - 4*n - 25*n + 0*n + 1 + 9*n + 2.\nAnswer: -15*n + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**2\/4 - 143*n\/4.\nAnswer: n*(n - 143)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.72 - 1.63. Let l = 1.4 + -1.31. Let x = l - i. Which is the third biggest value?  (a) 2  (b) x  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 992429401 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 135233 - -10?\nAnswer: 135243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -88 - -116. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**2 + 2. Let b(j) = -j**2 - 2*j + 361. Let g(m) = b(m) - 2*l(m). What are the prime factors of g(0)?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 120 + -114. Solve o*k - 10 = 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12541\/6006 + -221\/77. Find the common denominator of s and -1\/9.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-6*sqrt(95)\/(sqrt(605) + sqrt(605)*2) + 2)**2.\nAnswer: -8*sqrt(19)\/11 + 439\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -14*q + q - 65 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 0 - (-1720 + 1690).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 205 and 890?\nAnswer: 36490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (4\/(-6))\/((-8454)\/(-1710) - 5) and -85\/2068.\nAnswer: 4136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19666688 + 9833411 + 9833277 - c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 + 9*u**2 + 6. What are the prime factors of q(-8)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 2*h**3 - 8*h**2 + 10*h + 32. Does 13 divide q(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -2*j**3 - 2*j**2 + j - 2. Let b be k(-2). Suppose d - 8 = -b*r - 3*d, 4*d - 3 = r. What is the units digit of r\/((21\/30)\/7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9874939?\nAnswer: 9874939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (122 + 55 - 23)*((-j - 2*j + j)*(j - 2*j + 2*j) + 9*j**2 - 7*j**2 + 3*j**2).\nAnswer: 462*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 12 = -14. Let l be (-3)\/(3 + -12) - 0\/b. Factor 0 + 4*v**2 - 8\/3*v - 2*v**3 + l*v**4.\nAnswer: v*(v - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 52 - 64 - (6 - (1 + -2))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/2)\/1*4. Suppose -4*f - z - 6 = 0. Suppose 3*u - 4 = -u. Sort 2, f, u in decreasing order.\nAnswer: 2, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -45 - -50. Suppose -p*t + 16 = -3*t. Solve q = 3*j, 2*j - 6*j - t = -4*q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.34 + 0.06. Let y = z + 0.6. What is the closest to 1\/3 in y, -3\/5, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -12*b + 1. Let q(w) = 12*w - 1. Let z(k) = 7*j(k) + 6*q(k). Let p be z(1). Let a = 18 + p. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -66 - 189 + 20*h + 55.\nAnswer: 20*h - 200","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(468) + -1 - (1 + sqrt(468))*5)**2.\nAnswer: 48*sqrt(13) + 7489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -v**5 + 237*v**6 + 3*v**5 - 2*v**5 + 57*v**2 + 34*v**2 wrt v.\nAnswer: 28440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 261 and 1?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (60468566 - 60468566 + 8991*w**3)*(-3*w**2 + 0*w**2 + 4*w**2) + (w**3 + 2*w**3 - 2*w**3)*(-4*w**2 + 0*w**2 + 3*w**2).\nAnswer: 8990*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -20 + 19. Suppose 0 = 3*g - 3*i - 15, -3*g - g = 3*i - 13. Suppose g*j + 12 = -8. Which is the third smallest value?  (a) 0.4  (b) v  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(208)\/sqrt(4))\/(-6*(sqrt(4) + sqrt(16))))**2 + ((sqrt(104) + sqrt(104) + (sqrt(104) - (sqrt(104) + sqrt(104)*-1)))*-3)\/(sqrt(56)\/sqrt(7)*-2).\nAnswer: 13\/81 + 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2543 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put together 53.06263768 and 0.01.\nAnswer: 53.07263768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (35 - (-2 - -3)) + -1. Let a = 22 - g. Which is greater: a or -12?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-24)\/15*(109725\/22)\/(-19). What is the highest common divisor of u and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u - 5*i - 7, -5*u - 5*i = -2*i + 1. What is the closest to 0 in -2\/3, 0.3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 130832065?\nAnswer: 5, 7, 13, 421, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b + 5. Let g(c) = 50*c - 49. Let q(y) = -2*g(y) + 4*x(y). Let o be q(-5). What is the highest common factor of o and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 154301, 308662, 463021, 617378, 771733, 926086?\nAnswer: 1080437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*m - m + 0*m - 7*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -80 or -0.07?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**2 - 5*x - 5. Let c be w(5). Let o = c - -7. What is the third derivative of o*n**6 + n - 2*n**2 - n wrt n?\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -4*h**2 - 3*h - 5. Let a(v) = 6 + 514*v + 587*v - 1097*v + 4*v**2. Calculate -3*a(x) - 4*y(x).\nAnswer: 4*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 48 - 45. Suppose 5*s - 2*g - o*g = -349995, -3 = 3*g. Round s to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -1.1, -1, -2\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 421, 0.077, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*r - r - 5*r + 13*r + 72*r + 9*r + (-3 + 0 + 1)*(0*r - 7*r + r) to x*r + s and give x.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) 1\/11  (b) -1\/99  (c) -2\/263  (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**2\/7 + 148*q\/7 - 426\/7.\nAnswer: -2*(q - 71)*(q - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 839248270?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 268*t - 1479. Let d be x(6). What is the greatest common factor of d and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**3 + k**2 + 2. Let t be c(0). Does 4 divide 3\/(9\/t)*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101695117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mik when three letters picked without replacement from {m: 2, r: 4, i: 2, k: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40943407.\nAnswer: 3967, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7925 or 626151\/79?\nAnswer: 7925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*v + 1128 - 1548 = 0 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 1458555600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**2 + 136*o + 38. Let x be n(0). Solve 3*q - 3 = 5*m - x, -41 = -4*m + 5*q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 689 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t and 1 b when four letters picked without replacement from {t: 5, b: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 9 = -4*s. Suppose l - 4 = 3*l, s*p = 3*l + 108. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 61 (base 15) in base 14?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -498*l + 28382. Calculate c(57).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes before 11:55 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 446463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*f + 61 = -74 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -33, 3\/4, 1\/4, 9, 1\/77?\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1239 is divided by 1220?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 618, 1239, 1860, 2481, 3102, 3723?\nAnswer: 4344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -129090909 at most as big as -129090912?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -22388*f**2 + 2*f - 44. Let a be g(6). What is a rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 73142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -4494000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77\/5*p**4 + 1336\/5*p**3 + 1\/5*p**5 + 25600 - 1328*p**2 - 6400*p = 0. What is p?\nAnswer: -40, -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -139.126 to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 225*u - 227*u = -23276. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 7, q: 4, t: 3}. What is prob of picking 2 t?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 - -8. Solve -2*y - 29 = -4*c - b, -5*y - c + 10 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 80 and 42095.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes before 5:40 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**2 - 1 + 7*p + 4*p**2 - 4*p**2. Suppose -y = 7 - 1. Calculate c(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 46 + -46.352. Let i = -0.35 - t. Let s = -0.001945 + i. Round s to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 50 and 100.\nAnswer: 5000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 70.636 and -7?\nAnswer: 77.636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 179, 367, 553, 737, 919?\n\"Answer: -m**2 + 191*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -434*n**2 + 130*n**2 + 134*n**2 + 141*n**2. Let i(g) = 13*g**2. Determine p(i(r)).\nAnswer: -4901*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/24 and -71\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 768039 + 245212 = 19*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -2*m**2 + 3*m + 1. Let v(w) = 5*w**2 - 7*w - 2. What is 7*p(g) + 3*v(g)?\nAnswer: g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 (base 8) in base 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, z: 1, h: 1, c: 2, e: 4, u: 3}. What is prob of picking 1 z, 1 a, and 1 e?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 19 + 24. Let p = i - 28. Calculate the remainder when 27 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 4*y - z, -3*y + 4*y + 4*z + 14 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-303170)\/(-16898) - (6\/9 + 104\/6)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 85, 223, 373, 541, 733, 955, 1213?\n\"Answer: b**3 + 131*b - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 21*c. Let g(m) = -10*m. Suppose 5*t - 35 = -0*t. Let v(b) = t*g(b) + 3*x(b). Let l(j) = -2*j**2. What is v(l(i))?\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 539204 to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 267 + -513\/2. Factor -75\/2*m**2 - 6 - l*m**4 + 24*m + 57\/2*m**3 + 3\/2*m**5.\nAnswer: 3*(m - 2)**2*(m - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(102) + (sqrt(102) - 5*sqrt(102)) - sqrt(102) - sqrt(102) - sqrt(102))\/sqrt(6)*2.\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 5*k = k. Suppose 4*o - 4*y = -4 - k, -y + 17 = 3*o. Solve -3*m - o = -16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 201282 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 185 + 63a?\nAnswer: 7c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 27 = -3*l, -2*l - 5*j - 40 = -7*l. Let h = -890.6 - -892.6. Which is the smallest value?  (a) h  (b) -3.3  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 36*r - 54*r - 52*r - 700 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -2*j + j + 1 - j**2 + 2*j - j**3. Suppose 5*i - q - 19 = 0, 11 = 2*i + i - q. Suppose -5*m - 5*v = 10, 5*v - i = m - 2. Calculate z(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + 2 + 4 + (2 - 9) + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*q**3 - 5722*q**2 + 5722*q**2.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31963 is divided by 122?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - 6) + -1 + -6 + 34?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 - -9. What is the third derivative of 9*t**2 + t**6 + 0*t**u - 4*t**2 wrt t?\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.1 - 0.3. Let h(c) = 5*c + 47. Let n be h(-9). Let k = 3029 - 3028.7. Sort k, z, n, 3 in descending order.\nAnswer: 3, n, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from xvvvvlvvvvvvvvvvvvvv?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 11*w - 134. What is h(11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 109125?\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 26151.65442 + -26398.651. Let y = 247.048 + -0.048. Let x = g + y. What is x rounded to four decimal places?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -108325813222 minus 2?\nAnswer: -108325813224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 333\/45 + -1 + ((-65)\/(-25) - 3). Solve 13 = -h*g + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 + 7*m + 7. What is v(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-45))\/((-24)\/(-80))*-3\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes before 3:29 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 140 and 1876.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 19 + -16. Suppose 0 = -5*g - i + t + 84, -4*i - 77 = -5*g. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7.787024204 - 0.212974816. Let j = 8 + u. Round j to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 2*v + 156, 17*j - 22*j = v + 267. Calculate the lowest common multiple of 54 and j*(24\/(-288) - (-2)\/(-8)).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -79\/4?  (a) -0.212  (b) 4  (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -2*r - 2. Let j be b(7). Let v = j - -16. Solve -2*x + x + 2 = v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 5*l + 11 + 274 = 0, 5*l + 545 = 4*j. What is the highest common factor of 110 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-10 + (-30)\/(-6)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(-6) - 44\/(-6). Suppose 8*t = l*t + 12. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2916869 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let 81*l**4\/2 - 369*l**3 + 2437*l**2\/2 - 1722*l + 882 = 0. What is l?\nAnswer: 14\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 7804046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 33 + -3?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g + 21. Suppose -7 = -2*x + 41. Suppose -26*j - x = -30*j. List the prime factors of n(j).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t + 8*t - 920 = 0. Let h = -441 + t. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yyyyyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-198)\/12*(1\/((-3)\/2))\/((-791)\/(-226))?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2359112279 - 0.10071.\nAnswer: -2359112279.10071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 66717 by 353.\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (21 - -5) + (-1 - 3). Let p = 34 - h. Solve p = -5*l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that 392*m**3 - 1064*m**2 + 610*m - 100 = 0.\nAnswer: 5\/14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2)\/(-10) - 1140\/(-50)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the third derivative of 17*g**6\/120 + 7*g**4\/12 - 9*g**2. What is the second derivative of k(w) wrt w?\nAnswer: 102*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 1. Let u(w) = -w**2 + 8*w + 70. Let n(g) = -3*s(g) + u(g). Let t be n(-5). What is the greatest common factor of t and 138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 15390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 5*u - 17. Suppose n - u*q = -6*q + 8, -q + 2 = 0. Find the third derivative of -5*f**n - 23*f**3 + 24*f**3 + 12*f**2 wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - d + 3)*(0 - 1 + 0) + d - d + 2*d + 11154*d + 3449 - 6888 + 3439.\nAnswer: 11157*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 - 1. Suppose -a - 5 = -x + g, a = -2*x + 1. Solve -10 = -z + x*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -16*o + 11. Let z be u(2). Is z bigger than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -83 - -82. What is the third biggest value in s, 3, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 divided by -26?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1043082.3 months to millennia.\nAnswer: 86.923525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do 5970 and 6042 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 5  (b) -2  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -147 or -148?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -w**4 + 14071199*w**3 + 42217205 wrt w?\nAnswer: -4*w**3 + 42213597*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of 3\/4*s**4 + 3\/10*s**5 + 0*s + 5\/6*s**3 - 8 + 1\/24*s**6 + 3\/8*s**2. Solve y(f) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -242 - -247. Suppose g*n = w + 13, -5*n + 23 = 13*w - 9*w. Solve 3*u = -3*p - 9, -w*u + p - 2 = 5*p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 34\/(-6)*(3 + 0). Let t = 13 + y. List the prime factors of t\/6 + (-23)\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000283662 to 5 decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1601 (base 7) in base 2?\nAnswer: 1001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -823 divided by -1?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 34178026\/483 - 70762. Let o = l - 14611\/966. What is the common denominator of o and 61\/(-9) + 2 + 0\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -98 - -97.61. Let z = -1.81 + q. Let k = -2.1999864 - z. What is k rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*g**3\/4 - 55989*g**2\/4 + 841185*g\/2 = 0. What is g?\nAnswer: -18693, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-490)\/(-5))\/(((-10)\/1)\/(150\/(-30))).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i = -4*k - 10, 0 = -8*i + 6*i + 2*k + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do -9133 and -7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*-7*(-2)\/210.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*t + g - 904 + 894, 2*g = t - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 3*u - 8. Let k be m(4). Solve 0*o + 3*a - k = -o, -4*o - 5*a = -9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.11 - 20.81. Let f = 19.440878622 - -0.259111278. Let s = f + v. What is s rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 6*d. Let z(t) be the first derivative of 57*t**2 - 2*t + 159. What is z(s(h))?\nAnswer: 684*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1477\/(-28063) - (2328\/171 - 0).\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 35*x + 1711. Let l(m) = -9*m - 408. What is -23*l(z) - 6*q(z)?\nAnswer: -3*z - 882","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 354, 676, 1036, 1452, 1942, 2524?\n\"Answer: 3*h**3 + h**2 + 298*h + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**3 - 356*l**2 - 1738*l - 1384.\nAnswer: -2*(l + 1)*(l + 4)*(l + 173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -448*r - 1. Let n(k) = 67*k**2 - 2. Calculate n(t(o)).\nAnswer: 13447168*o**2 + 60032*o + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 76, 73, 60, 31, -20, -99, -212?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -7*o + 7. Let m(r) = -13*r + 13. Let v(x) = -11*j(x) + 6*m(x). What is v(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 1 q, 1 p, and 1 w when four letters picked without replacement from zqqppeipwqiq?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*v + 45*v = 831525. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the first derivative of 287*j**4\/4 + j**3\/3 - j - 14. Let t(g) = g + 8. Let c be t(-7). Is l(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 3\/52 and 54851.64 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/126036 and -211\/408450.\nAnswer: 22056300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Do 239 and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -116*j**4 - 132*j wrt j?\nAnswer: -1392*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19850\/363 + -164\/3. Let s = l - -601\/242. Which is the biggest value?  (a) 0  (b) s  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 91 (base 10) to base 5\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2650 is divided by 1319?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 28 = 4*w, -w + 2*m + 5 + 3 = 0. Suppose 5*o = -3*p + p - 12, -4*p = 3*o - 4. Solve -p*d = v + 12, 5*d + w = -0*v + v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/4 - ((-81)\/72)\/((-2480)\/340 - -8)?\nAnswer: -5\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 4*k + 3*f, 1 = 2*k - 2*f - 1. Let q = 91 - 91. Solve -8 = -q*n - k*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/33*(-11495)\/16720?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u - 8, 5*t + 46 = -4*u + u. What is the hundreds digit of (0 + 1)*197 - (t + 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -17*q + 18*q - 450, 405 = q - 5*p. What is the highest common factor of 258 and q?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 3*m**4\/4 - 576*m**3 + 6840*m**2 - 27264*m + 36288 = 0.\nAnswer: 4, 756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 70 - 3*g - 3*g - 68. Calculate the remainder when n(-6) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -5*l + 773 - 599, -2*l = -5*g - 57. What is the remainder when 516 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 110966 by -113.\nAnswer: -982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8\/(-30) + (-6)\/(-40)*4. Let d be (0\/1)\/(2 + -3). Are k and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (3 - (1 + 0))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.4 - 0.1. Let t be (4*4 - 1) + 1. Suppose -t = 4*x - f, -18 = 2*x - 0*f + 2*f. Which is the nearest to 1\/3?  (a) u  (b) x  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -341*g + 923. Let d be c(-5). What is the highest common divisor of 24 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 15040565 and 763689.\nAnswer: 15804254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -39 + (-14 - 1) + (6 - -11).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**3 - 2*t**2 + 2*t - 1. Let k be n(2). Suppose -8*f + 330 = -k*f. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and -135.\nAnswer: -13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*o**3 - 25192*o**2 - 56261*o wrt o?\nAnswer: 18*o - 50384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1*-1)\/((-12)\/12). What is the highest common factor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 247724021 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d**2 - 14430*d - 742248 = 0. Calculate d.\nAnswer: -4758, -52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 105, -254, -3\/155, -5, -1\/2?\nAnswer: -3\/155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106*c - 121*c = -90. Let a(f) = f**3 - 2*f**2 - 13*f + 7. What is the tens digit of a(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 4*u**2 - 38*u - 7. Let d(f) = 15*f**2 - 150*f - 22. Let q(t) = -23*b(t) + 6*d(t). Calculate q(-13).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -15, -150, -535, -1296, -2559?\n\"Answer: -21*g**3 + g**2 + 9*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2476773 or -17337410\/7?\nAnswer: -17337410\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15 - -19. What is the third biggest value in 0, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3292316275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence guu when three letters picked without replacement from guuggyggygyg.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 22*m - 24*m. Suppose -m*v + 5*u + 1260 = 0, 4*u - 9 = 7*u. List the prime factors of v.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 200\/(-680)*(-2)\/(-5).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -671 (base 8) in base 15?\nAnswer: -1e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 112146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 5\/8 of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -14 + 20. Calculate the remainder when 53 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 4*c = -70, -3*b + 2*b + 21 = 5*c. Let d = b - 28. Suppose -f - r + 2511 = r, 0 = -d*f + r + 7505. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 4915, 39121, 131903, 312547, 610339?\n\"Answer: 4881*q**3 + 2*q**2 + 33*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7.5 - 10. Let l = g - 10.5. Let c = l + 13.00034. What is c rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1734)\/(-2) + 2\/(-4)*-6. Let b be 4\/(-14) - k\/(-105). Suppose -5*t + 15 = -20. Solve w - l = b, -31 = -4*w + 2*l - t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1017 - 114 + 817 = -215*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-46)\/(-204) - 16\/6336*-44*6\/(-4)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 113\/204996 and 9\/11?\nAnswer: 204996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kjoajyba. What is prob of sequence kb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**2 - 219*a + 27961. What is the hundreds digit of g(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u + 5*u + 1981. Let c = 285 + u. Solve 5 = 3*s - c*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**3 + 3*m**2 - 2*m - 1. Let z be j(2). Let p be (-21543)\/(-11022) + 1\/22. Which is the fourth biggest value?  (a) p  (b) 2\/9  (c) -0.5  (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 3*w**3 + 3*w**2 - 2*w - 2. Let m(q) = -10*q**3 - 8*q**2 + 6*q + 6. Let p(h) = 2*m(h) + 7*u(h). What is the units digit of p(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.555475 times -31\nAnswer: 48.219725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-19)\/(j\/j**(-7\/3)))**(-1))**(2\/19) assuming j is positive.\nAnswer: j**(134\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**3 - 4. Let i be u(0). What is the third biggest value in 5, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (9 - 4 - 3)*(5*h**2 + 36 - 36) to the form q*h + x + l*h**2 and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7\/(-14)*22 - -232 is divided by (28\/(-1 - 0))\/(-1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 times 18368\nAnswer: 128576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**2 - 4. Let q be z(4). Let i(j) = -j**3 + 12*j**2 + 2*j - 8. Does 16 divide i(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 26695707 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 982?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-3) - (-4712)\/627. Let f = 483\/55 - z. Let h = -3 - 0. Which is the biggest value?  (a) f  (b) h  (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 3*w**3\/5 + 1882422*w**2\/5 - 531021933*w\/5 + 37441251108\/5 = 0.\nAnswer: -627756, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36249*s**2 - 29618*s**2 - 1403037*s**2.\nAnswer: -1468904*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 5*s + 12 = -s, 6 = -5*d + 2*s. Let q = 0 - d. Solve q = h - 3 + 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35.979794 rounded to 2 decimal places?\nAnswer: 35.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3575 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 - 6. Let y(s) = 4 - t - 1 - s. Let f(i) be the first derivative of 4*i**3\/3 + 1. Determine y(f(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - 1482531603830.\nAnswer: -1482531603836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -562804.7 + 521668. Let n = s + 41136.0000015. Let y = n - -0.7. Round y to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 23089\/39 - 7692\/13. Which is the fifth smallest value?  (a) -0.2  (b) -8  (c) -4  (d) -157  (e) l\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 6 = 0, -2*t + 4*x = t + 27. Let g(v) = v**2 + 5*v + 12. Is g(t) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0\/1 + (-159)\/(-9) + -18\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 94122 and 4494?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 12 = 8. Suppose 3*f = a*p + 8 + 8, -f + 17 = -4*p. Let s = f - -8. Sort 1, 3, s in decreasing order.\nAnswer: s, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 19*s**2 + 7635*s + 558886 wrt s.\nAnswer: 38*s + 7635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-14))\/(40\/28)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -195 - 172873?\nAnswer: -172a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 - 3*c - 6 - 4 + (-2*c + 4*c + 0*c)*(3 + 0 - 2).\nAnswer: -c - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 16282975 to the nearest integer?\nAnswer: 4035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 - 13 - 9)*(5 - 4 - 3)*(u + 2 - 2).\nAnswer: 60*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/2, 0, -211948.\nAnswer: -211948, -3\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 19*d - 30. Let c be (-12*2\/(-8))\/1. Calculate the remainder when 69 is divided by y(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1254284?\nAnswer: 2, 313571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15021388*12.\nAnswer: -180256656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -20 - -25. Let v(t) be the first derivative of -t**4\/4 + 5*t**3\/3 + t**2\/2 - 2*t - 2. What are the prime factors of v(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:05 AM and 7:23 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -85235304 divided by -276738.\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-50)\/(-20) + -3)*-2*2. Suppose -l - 4*o - 21 = 0, 3*l + 7 + 16 = -4*o. Let n = -1 - l. Solve 4*w + 0*w = -4*t + 8, n = 4*t - 2*w - u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9*(-3)\/36)\/(25\/(-20))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**3 - 23*j**2 - 46*j - 53. What is o(13)?\nAnswer: -2341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 3\/16 of a minute?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -62\/1107 and -44\/369.\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6 and 0.1366971?\nAnswer: 0.8201826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1294705 or -1294720?\nAnswer: -1294720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 971137437*k**2*o**3 + k**2*o*u - 4*k*o**2*u + k*o**2 + k*o + 8*k*u - 2*o**3 + 574379 wrt k?\nAnswer: 1942274874*o**3 + 2*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.28 plus -76?\nAnswer: -75.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 14963482 to the power of 1\/3, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/263  (b) 1\/3  (c) -3.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 472 - 424. What is the units digit of 1665\/3 - k\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pz when two letters picked without replacement from pplkzz?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 158 is divided by 87?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.014, 0, 2\/3, -2 in descending order.\nAnswer: 2\/3, 0.014, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2924349333 to the power of 1\/2, to the nearest integer?\nAnswer: 54077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/(-405))\/((7\/6)\/(-7))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3478 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -100, -172, 33 in ascending order.\nAnswer: -172, -100, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10011111000110100 (base 2) to base 12.\nAnswer: 3b184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 65 = 3*h. Let o(a) = -h + 10*a - 9 + 22. Let t(r) = -2*r. Give t(o(j)).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:13 AM and 2:56 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 90844087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9948906ms to microseconds.\nAnswer: 994.8906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.35 + -5.35. Let d be (-2 - (-9)\/5)*4. Let i = 0.112 - -0.088. Put 2, r, d, i in descending order.\nAnswer: 2, i, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -346, -1375, -3090, -5491, -8578, -12351, -16810?\nAnswer: -21955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 376 divided by -2\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the second derivative of v**6\/10 + 4*v**5\/15 + 5*v**4\/36 - v**3\/9 - 2*v - 13. Factor w(x).\nAnswer: x*(x + 1)**2*(9*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(-36))\/((-7)\/1764*-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.4  (b) 28\/9  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18869500, 37738994, 56608488?\nAnswer: 75477982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from suursrruruuurrs. What is prob of picking 4 u?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 9716, 84, -3?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -2690, -2886, -3238, -3746, -4410, -5230, -6206?\n\"Answer: -78*r**2 + 38*r - 2650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 292 + -574. Let z = -23 - f. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2562574 - 24?\nAnswer: 2562550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*c + 29 = -16. Let o be (-1067)\/(-44) + (-1)\/4. Suppose -w + 2*z + o + 1 = 0, -2*z = -2*w + 46. What is the smallest common multiple of w and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 864 and 11880.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**3\/5 + 5*f**2 + 28*f\/5 - 52\/5.\nAnswer: -(f - 26)*(f - 1)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 759297.4 litres in millilitres?\nAnswer: 759297400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2572741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -44, 4, 79 in decreasing order.\nAnswer: 79, 4, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -0.6, -15, -4\/5, 1 in ascending order.\nAnswer: -15, -4\/5, -0.6, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 448 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.8 - -3. Let g = m - 0.8. Which is the second smallest value?  (a) g  (b) 5  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 755885?\nAnswer: 5, 13, 29, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-67.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 2946*u + 0 - 25098*u + 394*u + 0 in the form v*u + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bww when three letters picked without replacement from xbbwwbbbxbbw.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 7*t**2 - 4*t + 5. Let j be z(-3). Calculate the highest common factor of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-9)*a**2*a)\/(a\/(a\/((a*a**(-1\/10))\/a))*a*a**7)*(a\/(a\/(a**(-9)*a)))\/(a**5*a)*a\/a**2*a**4 assuming a is positive.\nAnswer: a**(-249\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**3 - 3*s**2 - 4*s - 12. Calculate z(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3364 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 421542531 - -3?\nAnswer: 421542534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.21130824 to three dps.\nAnswer: -6.211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -13 in 2, -0.22, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 4 - 6)*(-14*b**2 + 24*b**2 - 22*b**2) to the form w + j*b**2 + s*b and give j.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from innwnniin. What is prob of picking 3 n and 1 i?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes before 4:39 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 834728 is divided by 901.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 + 12 = -4*s. Suppose 2*i - 3*g - 140 = -s*g, 4*i - 5*g = 302. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1598000 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 10*l**2 - 40*l + 72. What is the units digit of y(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24\/(-18) - (25\/6 - 5)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2324727571?\nAnswer: 2324727571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 3845, -27 in increasing order.\nAnswer: -27, -1, 3845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2379, -2375, -2367, -2355, -2339, -2319, -2295?\nAnswer: -2267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -2 - (-7 + -3 + 12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -3*w + l - 0*l, -4*l = -2*w - 22. Let f be (-1 + 2\/6)*-3. Sort -5, f, w, -4 in ascending order.\nAnswer: -5, -4, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -227*v**3 - 26*v**3 - 5206*v + 250*v**3 + (v**3 + 0 + 0)*(-3 + 3 - 2).\nAnswer: -5*v**3 - 5206*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1644 + -1645. Which is the nearest to 1?  (a) 0.2  (b) r  (c) -5  (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - 7 - (-3 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes after 1:03 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7114 (base 9) to base 14.\nAnswer: 1c73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 744*k + 44. What is the hundreds digit of n(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.8985 to two decimal places.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1.19  (b) -0.3  (c) 13716  (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -2*g**3 + g**2 + 13*g + 4. Let a be l(-2). Let t(p) = p**3 + p**2 - 3*p - 3. Determine t(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 917109062 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 - 15. Let d = -7 - w. What is the remainder when d is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15274\/3 + 5094. Let q be (-4 + 11\/3)*-6. What is c in -2 - 2\/3*c**q + s*c = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 0.8, -4\/13, -0.2, 27, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 7 - 4 - (-2 - -9). What is the common denominator of 65\/22 and ((-178)\/20)\/(d\/(-5))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**3 - 7*p**2 + 11*p + 12. Let t be b(6). Let k = t - 33. Calculate the remainder when 29 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 8*l + 25. Let u(z) = 19*z + 10. Let c be u(0). What is the hundreds digit of a(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 10, -0.1, 6, -0.09, 0.4, 0.06?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/2357553 and 44\/43936215.\nAnswer: 483298365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 426.3647 - 426.6. What is h rounded to two decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 955?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 974764 and 476.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-41)\/(-369)*(24\/18)\/(-2).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 6, r: 4, v: 5}. What is prob of sequence bbr?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 10000000101 (base 2) in base 10?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -44650232 divided by 89?\nAnswer: -501688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gxxxgjxgjxjjx. What is prob of picking 1 x and 2 g?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-177)\/2*272\/(-204). Suppose t = 2*k + 40. Calculate the highest common divisor of 52 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 384021880*d. Let f(u) = -u. Determine f(w(x)).\nAnswer: -384021880*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -2568600 to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2300188941 to the power of 1\/2, to the nearest integer?\nAnswer: 47960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -397 - 2*i + 397 - i**3 + 6*i**2 as t*i + u*i**3 + f + d*i**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u + 6. Suppose q = -q - 8. Let a be v(q). Factor -8\/5 + 8\/5*b - 2\/5*b**a.\nAnswer: -2*(b - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**3 + 8*t**2 + 82*t + 31. Let h be k(14). Which is the third biggest value?  (a) -3  (b) h  (c) -150\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the second derivative of -17*h**4\/60 - 11*h**3\/30 + 3*h**2\/5 - 212*h. Factor v(d).\nAnswer: -(d + 1)*(17*d - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -41 - -42. Suppose -2*n - 2 = -3*a + h, -3*n + 6 = -a. Solve 4*t - 3*l = 1 - 18, -3*t + n*l = 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1099 or 51450?\nAnswer: 51450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the first derivative of m**8\/560 + 3*m**7\/280 - m**6\/30 + 19*m**3 + 13. Let x(t) be the third derivative of r(t). Factor x(b).\nAnswer: 3*b**2*(b - 1)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 336831532 is divided by 4463.\nAnswer: 4459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -36 - -69. What is the remainder when k is divided by ((-30)\/25)\/(14\/(-105))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from jjzijzhzzz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 263?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 14*((-590)\/(-4))\/5 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u + 6 = 22 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10157 + 29957 + 11084 = 773*x - 4674 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1621102 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in twenty-seven quarters of a second?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/3 - 4\/(-2). Suppose -5*t - x = -3*t. Let z be 7\/4 + (-3)\/(-12). Sort z, 5, t in ascending order.\nAnswer: t, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:19 AM and 10:06 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 3863 - x - 3863. Let h(j) = -46*j. Calculate f(h(s)).\nAnswer: 46*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.4 - -0.3. Let r be (-286)\/(-1287) - (-730)\/(-45). Which is the closest to r?  (a) 5  (b) -4  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -78*i**3\/7 + 79034*i**2\/7 - 99196*i\/7 + 20240\/7 = 0.\nAnswer: 10\/39, 1, 1012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -691\/20 + 135\/4. Sort u, 5\/3, 5 in decreasing order.\nAnswer: 5, 5\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -9*h**2 + 10*h + 40. Let n(u) = 8*u**2 - 8*u - 32. Let j(v) = -5*n(v) - 4*r(v). Let p(b) = 22*b**2. Give j(p(y)).\nAnswer: -1936*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2 + -612?\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 39696 - 39600. Let v = -135 + 53. Let j = v + u. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 + 0. Let w = 18.5 - 16.6. Let i = 1.79 - w. Is c at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/63 + (-11)\/(-198)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -w**5 + 228*w**4 - 11683*w**3 + 178368*w**2 - 166912*w = 0?\nAnswer: 0, 1, 32, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1764) - (-5*sqrt(1764) - sqrt(1764))*-4)\/((1*sqrt(560))\/sqrt(5)).\nAnswer: -69*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes before 9:31 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 + -6. Let p = n + 0. Let o = -2.4 - -2. Which is the third smallest value?  (a) p  (b) o  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*r - 104 - 1360 = 0 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 9098 + 1614 = 0. Let c be x\/9430 - (-6)\/(-15). Let h = -57532\/2829 - c. Find the common denominator of h and 63\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the second derivative of o**6\/10 + 4*o**3\/3 - 3*o. Find the second derivative of j(i) wrt i.\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:45 AM and 11:40 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 33 and -0.4151911.\nAnswer: -13.7013063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 0*l - 21 = l, -5*y + 5*l + 65 = 0. Suppose -33*j + 36*j = 0. Suppose -p = -3*x - j + 30, -3*p - 27 = -2*x. Which is greater: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 2*t + 1. Let g(s) = -40*s - 4. Let q(a) = -3*f(a) - g(a). Give q(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2009965 is divided by 191.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 9 + -6 - (17 + 0). Let v be (-6)\/(-15)*7\/s. Is 2\/5 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.1 and 0.01321?\nAnswer: -0.014531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4029624?\nAnswer: 2, 3, 55967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -828325*b**4 + 3*b**3 - 418465*b**2 - 9*b wrt b?\nAnswer: -19879800*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 4*x - 4*u, 0 = -4*x + 3*x - 3*u + 13 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 2 = -3*d - 2*y, -4*d + y = -19. Let u be d - 3 - (0 - 1). Suppose 3*c + u*c = 10. Is 2 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7 + -2. Suppose -2*d = -0*d - 4. Let y(u) = 1395 - 3*u**3 + 7*u + 4*u**d + 2*u**3 - 1398. Calculate y(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -26069?  (a) 3  (b) 2  (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(400) + -4*-1*sqrt(400) - (sqrt(400) + 2*-2*sqrt(400)))\/(-5*sqrt(72) + (1*sqrt(40))\/sqrt(5)))**2.\nAnswer: 800\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.9 - 4.8. Let f = -1.5 - x. Let j(s) = -s**2 + 3*s + 5. Let h be j(4). What is the second biggest value in f, -1, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = -5*s - c, 5*s - c = -0*s - 29. Let k be 4\/(-3)*(-45)\/s. What are the prime factors of (-108)\/(-5) - (-6)\/k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -27 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(1\/2)\/t)**(2\/19))**(1\/41)*(t**0)**37*(t\/(t*(t\/(t*t*t**(-3)*t))\/t*t))\/(((t**(3\/2)\/t)\/t)\/t) assuming t is positive.\nAnswer: t**(781\/1558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 2*q**2 - 8*q + 40. What is v(4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5407 - -5642. Calculate the remainder when s is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62*i - 97*i = -47*i. Let a(k) be the second derivative of i + 0*k**2 + 1\/5*k**4 + 16*k + 2\/5*k**3 + 3\/100*k**5. Factor a(t).\nAnswer: 3*t*(t + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o. Let l(k) = 54*k - 8. Determine f(l(d)).\nAnswer: 54*d - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**2 + 24*o + 2311. What is n(60)?\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -896.35334 rounded to 1 decimal place?\nAnswer: -896.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -153276, -613106, -1379476, -2452386?\n\"Answer: -153270*f**2 - 20*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 12*a**2 + 577*a + 84. Calculate the remainder when 73 is divided by u(-48).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 128\/(-112) - 382374\/(-42)?\nAnswer: 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7157.833 hours to nanoseconds.\nAnswer: 25768198800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -51*y - 4. Let w be 2*(-6)\/4 + 2 + 0. Calculate the remainder when 90 is divided by h(w).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - -1204?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-27)\/(-72))\/((-45)\/(-12) - 3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -20*o**2 + 54*o + 630. Let y(l) = -7*l**2 + 18*l + 210. Let z(t) = -6*r(t) + 17*y(t). What are the prime factors of z(-18)?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**2 + 8*c + 1. Is i(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 5*x**2 - 3. Let o(r) = 28*r**2 + r - 18. Let i(b) = -13*d(b) + 2*o(b). What is i(-2)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 133033 (base 7) in base 10?\nAnswer: 25063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 2*i. Suppose 4*l + 8 = -0. Let w(a) = -a + 2. Let g be w(l). Let b(o) = -o + 4 - g. Determine u(b(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -118*i. Let q(f) = -1449*f**2. Calculate q(n(b)).\nAnswer: -20175876*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/3 + (-3)\/9. What is the remainder when 29 is divided by (u - 2) + (11 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, y: 1, a: 4, g: 2, v: 1}. Give prob of sequence ma.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -15239*l**2 + 10*l + 4384988 wrt l?\nAnswer: -30478*l + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42 + j**2 + 211 + 220 + 3.\nAnswer: j**2 + 392","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 + 1231?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 8114380.47ms?\nAnswer: 0.013416634375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 28.27967 meters in centimeters?\nAnswer: 2827.967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1070*r - 1075*r = -s - 764, 5*s - 4*r = -3946. Let v(u) = 92*u - 4. Let p be v(-4). Let i = p - s. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11 - 38 - -24) + -10 + -9.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3215482?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 138811 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(288)*1 + 5).\nAnswer: -12*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 38905*l + 199. What is the thousands digit of m(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(-7)\/2 - 57939\/(-60698)?\nAnswer: -28\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 25812 and 47322.\nAnswer: 283932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 4*n**3 + 2*n**2 - 2*n. Let y(l) = -l**3 - l**2 - 1. Let o(x) = -s(x) - 3*y(x). Let z be o(-4). What is the greatest common divisor of z and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 3\/28 of a week?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -23156 + 23157. Let k(n) = 40*n**2 + 4*n - 3. Determine k(s).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**2 + 8*t - 25. Let j(h) = 3*h**2 + 28*h - 76. Calculate -4*j(i) + 14*k(i).\nAnswer: 2*i**2 - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8 (base 16) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 907671 = -12*f + 906543 for f.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the second derivative of b**8\/1120 - b**6\/240 - b**4\/12 + 5*b. Let k(f) be the third derivative of c(f). Find the second derivative of k(i) wrt i.\nAnswer: 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.87, -1924, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add 2621 and 29995.\nAnswer: 32616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 12037337?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 6*w**2 - 63*w - 215. Let o be h(-20). Calculate the greatest common factor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x = 4*p + 57, -18*x + 19*x = -9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 + -2 - (77 - 58)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-48)\/54)\/(-4)*(-27)\/(-45)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the third derivative of -r**4\/24 - 236*r**3\/3 + 4*r**2 - 84*r. Let c(y) = -2*y**2. Calculate c(g(b)).\nAnswer: -2*b**2 - 1888*b - 445568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -26 + 42 + 14*u**2 - 5*u**3 + 3*u**3 - 28*u.\nAnswer: -2*(u - 4)*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -46.088 - -46. Let l = 0.162 + b. Let j = l - 0.07044. What is j rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 573972, 1147961, 1721950, 2295939, 2869928, 3443917?\nAnswer: 4017906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000254962238 rounded to 6 dps?\nAnswer: -0.000255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 239610 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the first derivative of -i + 43\/2*i**2 + 0*i**3 + 93\/4*i**4 - 226. Find the second derivative of d(f) wrt f.\nAnswer: 558*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 337895431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 277*c**2 - 277*c**2 + 23*c**3 + (-c**2 + 2*c**2 + c**2)*(2*c + c - c) + 0 + 0 - 2*c**3.\nAnswer: 25*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 11*t + 24. Let h be k(15). Suppose 4*d + 5*n - 88 - h = 0, -2*d = 5*n - 151. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/(-3)*(-3 + (-115)\/(-35)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 5*l - 12 = 0. Let j = 60 - l. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**3 + 16*l**2 + 7*l - 10. Let o be f(-16). Let i = o + 133. Suppose -8*d = -i*d. Solve y = 4*w + 13, d = -3*y + 4*y - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 437857116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 9*p**3 + 7*p**2 - 11*p + 4. Let j(t) = t**3 + t**2 + 2*t. Determine -5*j(k) + r(k).\nAnswer: 4*k**3 + 2*k**2 - 21*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 828129 and 213?\nAnswer: 58797159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 2 + 1)*(4 - 4 + 2*o) - 4*o - 2 + 5*o + 10)*(-6 - 4 + 2).\nAnswer: -40*o - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.906 - 1579.094. Let u = b + 1583. Let y(f) = f**2 + 4*f - 2. Let k be y(-4). What is the nearest to k in u, 1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -2206\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -353*z - 59296. Determine g(-168).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.07 + -228.4.\nAnswer: -228.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c = -2*n + 4, 57944*c - 3*n + 12 = 57947*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -222 + 4c?\nAnswer: -1d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 2*d + 3*p, -3*d + 4*p + 19 = -0*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13.1 - -11.84. Let n = 0.04 - d. Let m = 0.3 - n. Which is smaller: -0.1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*j**2 - 51*j**2 + 12*j**2 - 26*j**2 - 47*j**2)*(-1 + 3*j + 1) in the form r + w*j**2 + l*j**3 + y*j and give l.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b. Let x(w) = -13*w**2 + 7*w. Let z(d) = 7*d**2 - 4*d. Suppose -8 = 4*t + 52. Let s = t - -22. Let h(k) = s*z(k) + 4*x(k). Determine c(h(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:34 AM and 4:46 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**3 - 5*l**2 + l - 3. Let t be a(5). Let y be -2 + 0 + 3\/t. Sort 1, 0.5, y.\nAnswer: y, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -14231 + 14226. Put n, 5, 4, 1, 2 in descending order.\nAnswer: 5, 4, 2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 2, i: 1, m: 6, b: 1, h: 8}. What is prob of picking 3 m and 1 d?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 71 - 29. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 529c7 (base 14) to base 11.\nAnswer: 126990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 + 20 = 3*c. Suppose c*t - 10 = 2. Solve -2*z = -t*z - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.87569384 rounded to 2 decimal places?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 39015 + -37148. Calculate the remainder when a is divided by 78.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -660 + 454. Let c = 85 + f. Let i = c + 121.00151. What is i rounded to four dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, h: 3, d: 5, u: 1, b: 7}. What is prob of picking 1 r, 1 d, and 1 b?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -320 + 320. Solve 6*p + 2*p - 16 = k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 644619365 divided by 2609795.\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (54\/(-16) - -3)*(-6)\/(-9). What is the fourth smallest value in 1, 4, r, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -2*w + 6*w**2 + 2*w**3 - w**3 + 4 - w**2 - 5*w**2 + w**2. Let n(t) = -t**2 - 11*t - 29. Let p be n(-6). Let c(m) = 1. What is p*v(k) - 4*c(k)?\nAnswer: k**3 + k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2677071*f + 9079541*f + 2402037*f + 1176218*f.\nAnswer: 9980725*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kxxjkkxsxxxkkxkkk. Give prob of sequence xkxx.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 + 3*c**3 - 7*c**2 - 2*c**3 + 12 + 3*c. Let b be g(5). Determine u, given that -b + 6*u + 1 + 5 + 2*u**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.6111 - 2.4752. What is w rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0\/1 + 42\/6. Solve -5*r - 5*u = 3 + b, r + 14 = -4*u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -34*d**3 - d**2 - 122*d - 5. Let c(n) = 54*n**3 + n**2 + 183*n + 8. Calculate -8*a(x) - 5*c(x).\nAnswer: 2*x**3 + 3*x**2 + 61*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*u + 377 = -48. Solve 29 + u = 18*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes before 7:09 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 154081051 greater than or equal to 154081049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*w + 722 = 6*w - 37*w for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2024 divided by 88.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*p - p - 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**4 - 133682*k**3 - 5211570*k**2 - 67741622*k - 293527988.\nAnswer: -2*(k + 13)**3*(k + 66802)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 284, 615, 946, 1277, 1608?\nAnswer: 1939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/9 - 611\/(-117). Suppose 0 = -2*y - 2*y + 2*o + 94, -a*y + 5*o = -105. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2439 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 2*h**2 + 10*h + 9. Let f be y(-6). Is 2366\/f - (-2)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1071e + 16?\nAnswer: 10734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 279707?\nAnswer: 279707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1261*n**6 + 599*n**6 + 252*n**6 - 1229*n**6 - 544*n**2 wrt n.\nAnswer: -196680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -4*o**2 + o + 2. Let m(t) = -t**2 - t. Let y(j) = f(j) - 3*m(j). Let x be y(4). Solve -3*l = x*l - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/15*-1)\/(((-1344)\/(-735))\/(-64))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 3 + -1 - 3 - 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -262325 - 14?\nAnswer: -262340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 4*x = -19, 3*j - x + 17 = -5*x. Let s = 1 + j. Let f = 9 - 5. Solve 0*q + s*q + 4*i = -10, q = -f*i - 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a + 29 = h - 0*a, 5*a = 3*h + 39 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/81 in -2, -10, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -702*p + 700*p + 20 + 15. Let d be s(11). Calculate the highest common divisor of d and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 96.1 - 96. What is the nearest to 2 in 14, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 212 = -5*l + 2*j, -4*l - 2*j = -166. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57671116 smaller than 57671116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*s - 23*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -4 + (-4*(-1 + (4*sqrt(242) + sqrt(242) + sqrt(242))*4 + 1) + 0)**2.\nAnswer: 2230266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1295013169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in z - 12 + 20 + 21.\nAnswer: z + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 6*p**3 - 2*p + 0*p + 11212 - 11209 + 0*p. Let s(r) = r**3 - 1 + r + 2*r**3 - 4*r**3. Calculate -d(y) - 4*s(y).\nAnswer: -2*y**3 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14 - 5. Let n = 12 - 7. Let x = u - n. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-27))\/(((-48)\/18)\/(-2))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1745798762 to the power of 1\/2, to the nearest integer?\nAnswer: 41783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 725452260 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 24 = 3*c, -k = -c + 8 - 0. Let o = 8 - c. Suppose -2 = -a - o. Solve -8 = -5*d + a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and -0.15.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*d - 4 = 2*l + 32*d, -3*d = -4*l - 2*d - 15 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-279)*-3*5676\/(-1419).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 605 + -3002\/5. Let z be 6\/(-10) - 4\/10. What is the common denominator of n and z - 3*32\/54?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2483?  (a) 0.024  (b) 0.3  (c) 5\/3  (d) -5  (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the third derivative of k**6\/60 + k**5\/60 + k**4\/24 - 2*k**3\/3 - 5*k**2. Let p be g(-3). Is 11 a factor of p\/(-1) + 0\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2775*r + 2787*r = -300 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - 5*a + 33 = 0, -117*f = -121*f - 2*a + 22 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 322608+-4008\nAnswer: 318600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 110 - 44 + 17 - 706*a - 41 - 42.\nAnswer: -706*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -3*m**3 - 12*m**2 - 3*m + 419. Let d(a) = 8*a**3 + 20*a**2 + 5*a - 840. Determine 3*d(z) + 5*w(z).\nAnswer: 9*z**3 - 425","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 9*v + 82. Calculate q(-13).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 10, 4, 2\/7, -16?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1996 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 339, 319, 265, 159, -17, -281, -651, -1145?\n\"Answer: -3*d**3 + d**2 - 2*d + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2924 and 540209?\nAnswer: 2160836","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-9)\/15)\/((-41)\/10 + 2). Let b = -11 + 28. Let y = -17 + b. Put c, y, -0.021 in decreasing order.\nAnswer: c, y, -0.021","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**3 - 33*x**2 + 33*x - 22. Let s be y(32). Let a be (-1 + s\/14)\/(2100\/735). Sort -0.3, 4\/7, a in decreasing order.\nAnswer: 4\/7, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the second derivative of -3*c**5\/40 - c**4\/12 + c**3\/3 + c. Let v(p) be the second derivative of x(p). Is 6 a factor of v(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 - -11. Let l be (3\/(-1) - -1) + -61. Let f = 88 + l. What is the greatest common divisor of f and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/435 and 64\/183.\nAnswer: 26535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21221 (base 3) to base 6.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-28)\/84)\/(0 - (-2)\/(-546)). Sort h, 5, 0, 4 in ascending order.\nAnswer: 0, 4, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 1930?\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 361 - 356. Let i = 0.2 - -0.2. Let b = 11 + -10.9. What is the closest to 2\/5 in r, i, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -1\/3  (b) -68  (c) -0.8413\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**3 - 20*w**2 - 57*w - 58. What is z(-14)?\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-254 + 254 - 53*i**2)*(i**2 - i**2 - 2*i**2).\nAnswer: 106*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 616208, 616206, 616202, 616196?\n\"Answer: -z**2 + z + 616208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, r: 2}. Give prob of picking 2 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -36 divided by 18\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 7 - (-3 + 408\/40)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -888610, -888611, -888614, -888619, -888626, -888635?\n\"Answer: -h**2 + 2*h - 888611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 87 divide 842914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(4\/5)\/d)\/d**(3\/4)*(d\/(d\/(d**(-3)*d)*d))\/(d*d*d\/d**(-1\/7)*d))**(-1\/8) assuming d is positive.\nAnswer: d**(1133\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -32*c**3 - 3*c - 2. Calculate z(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11806 (base 15) to base 9.\nAnswer: 84486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1838 (base 13) to base 7.\nAnswer: -13325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 35\/66 + 3\/22. Factor -2\/3*c**3 + 2\/3 - 2\/3*c**2 + b*c.\nAnswer: -2*(c - 1)*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*q**2 + 5*q - 2*q**2 - 2*q**2 - 2 - q**2 in the form f + w*q**2 + l*q and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3\/(-4))\/(((-6)\/336)\/(-1)). Let r = s + 79\/2. Which is the third biggest value?  (a) -3\/4  (b) r  (c) -0.1  (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 494*z - 424*z + 490 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000002118 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 + 1. Let b(w) = -4*w**2 + 50*w - 21. Let m be b(12). Suppose -4*l - 3*j = -x*j - 12, -m*l - 8 = -2*j. Solve i + l = 4*g - 12, -3*i + 3*g = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l - 2 + 2 - l - 1 + 1 + 2 - 2 + 2*l + (-3*l - 2*l + 3*l)*(1 - 4 + 2) - l - 4 + 4)*(73*l + 70*l - 18*l)*(10 + 17 - 8).\nAnswer: 9500*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 162*k**2 + 402*k - 1201. Is 4 a factor of r(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -0*g + 68. Suppose -18*k + 2 = -g*k. Determine o, given that 2\/3*o**4 - 10\/3*o**3 + 16\/3*o + 2\/3*o**5 - 8\/3 - 2\/3*o**k = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j + 2*o - 13 = 2*j, -2 = 2*o. Solve -w + 5 = w + 3*h, 0 = -2*w - h + j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -8597*t - 58. Is k(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 85*s**3. Let a(m) = 680*m**3. What is -6*a(l) + 51*b(l)?\nAnswer: 255*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1991227, -1991218, -1991207, -1991194, -1991179, -1991162?\nAnswer: -1991143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -16172 (base 8) in base 10?\nAnswer: -7290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**2 + 37*l - 99. Give f(41).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13033652 or -13033653?\nAnswer: -13033653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the third derivative of -x**4\/24 + 19*x**3\/6 - 28*x**2. Determine c(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eeje when four letters picked without replacement from {u: 5, e: 2, j: 9}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 183174?\nAnswer: 2, 3, 30529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -4, -8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**2 + 5*d - 4. Let y(q) = q + 2. Let w be y(0). Let t be 1 + 2 + (5 - w). What is g(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -25088.1 - -25090. What is the closest to -3 in f, 0.4, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 2 + 0 = 0. Let x be (2\/(-6))\/((-2)\/3). Which is the nearest to x?  (a) 2\/5  (b) 2  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -79*f + 124*f - 315. Let j(a) be the second derivative of -a**2 - f*a + 0 - 3\/2*a**3. Differentiate j(b) wrt b.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (21\/(-2))\/(985\/(-1970)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4483 + 4483.12. What is the second biggest value in t, 11, 0.1, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 126 + -129. Let j = -1.97 + 2. Let p = 6.6 + -7. What is the closest to 1 in j, k, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**3\/3 + 114044*k**2\/3 - 144639572*k - 1977255213780.\nAnswer: -4*(k - 16863)**2*(k + 5215)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-60 + 48)*-3*85\/90.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -0.01, 9, -0.03, 5, 1\/20, 5\/4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes after 9:24 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q**2 - 3*q - 2. Suppose 3*y + 0*c - c + 10 = 0, -12 = 4*y - c. What is o(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 2*s**3 - 7*s**2 + 5*s - 3. Let c be w(3). Is (-1)\/(c\/2) + (-419733)\/(-27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 3 + 7 + (-7 - -3 - 0) + 14?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/6*31788\/(-1766)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**3 - 11*b**2 + 18*b + 15. Let o be q(9). Suppose -o*r + 20196 = 3*r. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t*((t*t**(1\/7))\/t)\/t*(t*t**(2\/3))\/t assuming t is positive.\nAnswer: t**(17\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/10 - 3\/5. Suppose -10*p + 5*p - 25 = 0. Sort p, 2, b in decreasing order.\nAnswer: 2, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes after 6:50 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.21 and 41?\nAnswer: -8.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1114631 - -100?\nAnswer: 1115031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20 and 50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 550984758+-7\nAnswer: 550984751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-11)\/(-88)*18)\/(3\/(-48)*21)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3351\/22 + -460\/3. Calculate the common denominator of 7\/36 and w.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**2 - 3*t - 1. Let i(o) = 7*o**3 - 5*o**2 - 6*o + 5. Let p(l) = -8*l**3 + 6*l**2 + 7*l - 5. Let u(g) = 7*i(g) + 6*p(g). Let m be u(0). What is k(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(144)\/sqrt(3) - sqrt(33)\/(-1*sqrt(11)) - ((sqrt(27) + sqrt(27) + sqrt(27)*-2)\/sqrt(9) + 5*(sqrt(3) - -1*sqrt(3))))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**3 - 6935*p**2 + 34703*p + 32. Give j(5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are 88914\/1117 and 80 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -7*l**2 + 11*l - 38. Let f be i(10). Let a = f - -802. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (-1 - -2) + 177 + -182\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (8*-1)\/(1352\/4732)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 4*k**5 - 132*k**4 + 492*k**3 + 1988*k**2 - 2352*k = 0.\nAnswer: -3, 0, 1, 7, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 54854 - -44?\nAnswer: 55008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 + 5*v**2 - v + 6. Let i be w(5). Let l be i\/2*16\/(-4). Calculate the common denominator of (l - -1) + (-50)\/12 and -25\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 13  (b) 2  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70428*c + 282 = 70432*c + 5*r, -2*c - r + 342 = 3*c for c.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((sqrt(405) - (2 + sqrt(405)*-2)) + (sqrt(405) - 4*sqrt(405)*2)))**2*-1.\nAnswer: -25936 - 576*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*s + 4*s**2 - 4*s + (-3*s - s + 3*s)*(2*s - 5*s + 2*s) - 1 - 4*s**2 + 1.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22100 is divided by 842.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 57 = 25. Suppose -5*o = 11 - v. Suppose -4*x = -o + 2, 5*n = -3*x - 50497. What is n rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**2 - 8*c + 8. Calculate v(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(1\/5))**(-12)*(q\/(q*q**(1\/9)))**(-5\/16) assuming q is positive.\nAnswer: q**(-1703\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*x + 0*x + 0*x - 8)*(-2*x + x - 2*x).\nAnswer: 18*x**2 + 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1, -5, -11, -19, -29, -41?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 77\/5 of a meter?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -6408, -6412, -6420, -6432, -6448, -6468?\n\"Answer: -2*v**2 + 2*v - 6408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -331211130031 - 2?\nAnswer: -331211130033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1468, 2929, 4388, 5845, 7300, 8753?\n\"Answer: -c**2 + 1464*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4895 + 4894.5. What is the third smallest value in 3, 7\/5, j, 1\/6?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 827\/50 + -26\/25. Find the common denominator of 2485\/100 - 4\/(-10) and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1.8, -2, -0.5, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**3 - 9*t**2 - 11*t - 15. Suppose -w = -2*n - 5*w + 10, 52 = 5*n + w. What is the lowest common multiple of q(-8) and n?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from {i: 1, t: 12, w: 5}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the first derivative of 2*q**3\/3 - 6*q**2 - 9*q - 135. Calculate x(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11110300101 (base 4) in base 9?\nAnswer: -2556520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 54.801 rounded to zero dps?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**2 + 30757*u + 122996. Calculate q(-4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 30945 by -3.\nAnswer: -10315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i = -12 - 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -165564888114\/6409 + 25833186. Let w = -2\/493 - k. What is the third smallest value in w, 3\/2, -0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**2 - 3*b - 2. Let g(s) = -s + 3. Let n be g(3). Suppose -2*q - 7 - 1 = n. Calculate v(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 332721764.\nAnswer: 2, 83180441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zwwzwwwzii. Give prob of sequence izi.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - q - q - 16, -3*q = 2*d - 8. Suppose 0*h + d = h. Suppose -5*o + h = -26. Calculate the remainder when o is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2728980?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -a**3 + 2*a**3 + 5*a**3 + (0 + 0 + a)*(-a**2 - 4*a + 4*a) + (-a + a**2 + a)*(-3*a + a + 0*a) in the form q*a + i + s*a**2 + l*a**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -0*g + 2*g - 46, -4*g - 4*a = -84. Let n(z) = 11*z**2 + 3*z + 9. What is the remainder when n(-3) is divided by g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 226283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 2882 = -194. Let r be ((-21)\/4)\/(7\/f). Suppose 2*t - r = -98. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 104 and 10582?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -333*i**4 + 9510*i**3 - 18948*i**2 - 82968*i - 8736 = 0 for i.\nAnswer: -2, -4\/37, 14\/3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3436727 to the power of 1\/2, to the nearest integer?\nAnswer: 1854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**5\/7 + 3*l**4\/7 - 2*l**3\/7 - 2*l**2\/7 + 3*l\/7 - 1\/7.\nAnswer: -(l - 1)**4*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 739.4164ml?\nAnswer: 0.7394164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 5, 5, -9, -43, -103, -195?\n\"Answer: -k**3 - k**2 + 10*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -4 + (-9)\/(-3 + (-4)\/(-2)). Put 2, -3, c in increasing order.\nAnswer: -3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:30 AM and 4:16 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*o*p*z**3 + 11604*o*p*z - o*z**3 - 5273*o*z**2 + 2*o*z + 2*p with respect to p.\nAnswer: -5*o*z**3 + 11604*o*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*j**3*s + 256914*j**3 - 530*j**2*s - j*s - j + 434*s wrt s?\nAnswer: 2*j**3 - 530*j**2 - j + 434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5364397, -10728766, -16093135, -21457504, -26821873?\nAnswer: -32186242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -26 - ((80 - 82 - (-2 - 7)) + -7).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 48777346 to the power of 1\/3, to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -7 - (-1 + -9 + -50). Calculate the greatest common divisor of y and 1431.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 242374?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 + 13 - 35 + 11 + 3*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18*17\/102*(-3)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 329636886 divided by -2?\nAnswer: -164818443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**3 + 5*a**2 - a - 9. Let x be s(-5). Let k be 6\/x + (-75)\/30. Let d be -4 - (42\/3 - k)\/(-2). Solve 20 = -p + d*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 3*s + 17. Let z(r) be the third derivative of -r**4\/6 - 25*r**3\/6 - 108*r**2 + 112*r - 2. Suppose v = 1 + 4. Determine v*z(x) + 7*j(x).\nAnswer: x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 6542 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1008) + 1 - sqrt(1008) - sqrt(1008)) + 1 + 4 + (-3 + sqrt(448) + -6*(-1 + sqrt(448)))**2.\nAnswer: -252*sqrt(7) + 11215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sssw when four letters picked without replacement from sbbwssbswbbssbtbbts?\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12 - -42. Suppose -28*h = -b*h. What are the prime factors of (35\/(-70))\/(h + 2\/(-260))?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 m when three letters picked without replacement from {w: 2, z: 2, m: 10}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 123, 131, 151, 189, 251?\nAnswer: 343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 24673, 25015, 25357, 25699?\n\"Answer: 342*r + 24331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5877 + -5875. Let z(j) = j**3 - 4*j**2 + 5*j - 5. Determine z(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 83590074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -376 divided by 94\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -39231139 - 5?\nAnswer: -39231142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + o + 2 + ((-4*o + 3*o - o)*(-61 + 66 - 146) - 4*o + 4*o + 2*o)*(0 + 0 + 1).\nAnswer: 285*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1775592 and 22837983.\nAnswer: 5691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 90\/350*-5*7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 6, f: 4}. Give prob of sequence fa.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -86, -703, -2378, -5639, -11014, -19031, -30218, -45103?\nAnswer: -64214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 - 6 - 1)*(0*l + 10 - 2*l - 17).\nAnswer: 40*l + 140","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -40*n + 20*n - 405 + 65 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -183*r = -187*r - 2868. Let m = r - -719. Solve -m*d = -7*d + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 33 - 6. Suppose -13*u = -10*u - a. Factor 63*r - 20 - u*r**2 + 9*r**2 + 2*r - 45*r**2.\nAnswer: -5*(r - 1)*(9*r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.5312042 rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/3, -0.4, 3.051349, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 352\/264*((-6)\/(-1))\/2. Calculate the highest common factor of l and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5\/(75\/(-9))*(-16 + 6). Suppose 2*v - 616 = 4*p, 4*v - 1256 = 2*p - z*p. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7092.587 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 32 = -u + 29, 5*z - 7 = -2*u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**2 + 20*u - 14. List the prime factors of a(8).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -275 - -402. Suppose 4*m + 15 = h. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0073825 to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6 by -2675912.\nAnswer: -3\/1337956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16078696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p and 1 x when three letters picked without replacement from {n: 2, x: 7, p: 4}?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4481 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-436*p - 311684 + 311684)*(-p**2 + 4*p**2 - 6*p**2) in the form a*p + q*p**3 + l*p**2 + x and give q.\nAnswer: 1308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -52, -42, -32, -22, -12, -2?\n\"Answer: 10*q - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/((-2)\/(-2)))\/((-4)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6604f (base 16) in base 10?\nAnswer: 417871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 399777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 76*d + 592. Give w(-12).\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4738037 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 32a25 + -a?\nAnswer: 32a17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4587009 and 11865.\nAnswer: 2373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.11897 and 5?\nAnswer: 5.11897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 6 = -3*k, -4*g - k + 3*k + 4 = 0. Suppose g = -3*v + 7 + 2. Solve v*t - 6 = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -86*u = -38*u + 52*u - 12330100. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 57\/10  (b) -15  (c) 0.3  (d) -177.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 + -88)\/(-10)*-2*(-5)\/(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f + 35 + 3. Suppose -2*c - 38 = 5*k, -3*c - f = -3*k + k. Round c to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5440 is divided by 46.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1872)*-2 - sqrt(1872) - sqrt(1872) - sqrt(1872)*-3)\/((1*sqrt(28))\/sqrt(7) - ((sqrt(484) - (sqrt(484) + 2*sqrt(484))) + sqrt(4))))**2.\nAnswer: 117\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the third derivative of l**8\/1176 - 8*l**7\/735 + l**6\/70 + 4*l**5\/105 - l**4\/12 - l**2 + 5*l. Solve h(j) = 0.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 + 4\/(-2) + 4. Suppose -g + 0*o - 5*o = 0, -i*g = 2*o. Solve g = -p - 4*p - 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -28*l + 80. What is j(9)?\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**2 + 3*a - 2. Let o be p(-6). Suppose -1 + o = 3*k. Sort -3, -4, k in increasing order.\nAnswer: -4, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4\/5 or -77?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + w - 16 = 0. Find the first derivative of -2*d**w + 1 + 3*d**2 - 3*d**2 wrt d.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2873 - -4130. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -5, -3\/4, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-31 + 17 + v - 15)*(-4 + 4 + 4)*(3*v**2 - 7 + 5 + 0*v**2).\nAnswer: 12*v**3 - 348*v**2 - 8*v + 232","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 923453362 to the power of 1\/2, to the nearest integer?\nAnswer: 30388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -11*w**4 - 2777 + 44*w**4 - 104*w**3 + 0*w**4 - 22*w**4 with respect to w.\nAnswer: 44*w**3 - 312*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, -0.208, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 4 = -4*u, 4*b - 114 = -3*u. Let a = b - 24. Suppose a*h - 17 = -4*z, -2*z + 3*h - h + 12 = 0. Solve -2*w + 4 = -k - 4, z*k = -w - 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, -4, -71 in descending order.\nAnswer: -4, -13, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -29 + 88\/3. Suppose -14*h + 44 - 2 = 0. Suppose 2*v - 4*z + 106 = -0*z, 5*v = h*z - 244. Which is greater: r or v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13 - 5*p**3 - 30*p**3 + 27*p**3 - 13 - 2*p**3.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 289303?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 4*j**3 - 7*j**2 - 2*j - 2. Let d(n) = -n**2 - n. What is 2*d(s) - p(s)?\nAnswer: -4*s**3 + 5*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 + 10b936?\nAnswer: 10b938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/5, 5, -0.5, -1 in decreasing order.\nAnswer: 5, -2\/5, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + j - 7 = -28, -2*j - 28 = 4*u. What are the prime factors of (-1)\/(u + 9) + (-270)\/(-4)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o + o - 2*o)*(-26 + 18 - 7)*(7 - 6 + 9).\nAnswer: 150*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**4\/9 + 3226*j**3\/3 - 1302496*j**2 + 3897816*j.\nAnswer: -2*j*(j - 2418)**2*(j - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 29 = -4*p - 0*p, -3*t + 49 = -5*p. Let d be 1781*1 - (p + 9). Suppose -2*j - 1616 = -5*b + 609, 5*j = -4*b + d. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/(-36)*(-9678)\/(-40325)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -19, 1, -29\/6, -3, -2\/5?\nAnswer: -29\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 + 124?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1 + -62?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d - 12. Let l be i(9). Let n(f) be the third derivative of f**5\/20 + f**4\/12 - 2*f**3\/3 - f**2. Calculate the remainder when 49 is divided by n(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*s = 36*s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b - 3*b + b)*(-2 + 0 + 3)*(7 - 7 + 29)*(3 - 1 + 1).\nAnswer: 87*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -75 + 77. What is the second derivative of 0*t + 6*t + 14*t**2 + 13*t**z wrt t?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*-1*sqrt(162))\/((-2*sqrt(99))\/sqrt(11)))\/(-6*sqrt(12)\/sqrt(2) + sqrt(24)\/sqrt(4)*-3 + sqrt(6) + sqrt(6)).\nAnswer: -3*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4 - 0)*5\/(-4). Suppose -p = -f*d - 25, 0 = -3*p + 2*d - 3*d + 11. Suppose -p*r + 28 + 2 = 0. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1279 - 1276. Put -3, v, -4, 15 in decreasing order.\nAnswer: 15, v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 - 4*d**2 + 2*d - 13. Let f be o(-5). Solve -f*y - y = -6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 16*d - 4. Let x = 0 - -7. Let y = x - 4. What are the prime factors of s(y)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) 0.5  (c) -451292  (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (19 - 22) + -5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 9:47 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4176)\/2175 - (0 - 2). Which is the second smallest value?  (a) 1  (b) -59  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (111\/(-26) - 0) + (-412)\/824. Which is bigger: -4 or b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3\/(-9) - ((-240)\/(-450))\/(2\/(-144920))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -102 - -44. What is the second biggest value in -4, g, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 3183, 3180, 3175, 3168, 3159?\n\"Answer: -x**2 + 3184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 2155.3187 and -0.4.\nAnswer: 2154.9187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 2 = -2, -3*x - 72 = -4*q. Suppose 20 = a + q. Solve -9 = -2*k + a*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25385339 is divided by 202.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 8*k = -3*b + 11, 4*b - 4 = 4*k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 9*u**2 + 1. Let o be x(3). Suppose 0 = -2*m - c + 128, -55 = -m - 4*c - 5. Suppose m = 4*q - o. List the prime factors of q.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the second derivative of i**6\/120 - 7*i**4\/24 + 2*i**3\/3 - 7*i. Let y(d) be the second derivative of p(d). Differentiate y(t) with respect to t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 443 is divided by 183?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-12)\/16)\/(81\/(-72)))\/(4\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 + -1. Suppose -k*p - 4*f + 45 = 0, -3*p + 0*f = 5*f - 45. Suppose -27 = -3*z + p. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mf when two letters picked without replacement from {m: 2, b: 2, f: 5, x: 4, w: 1, z: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (9 + -8)*2\/(-7)*-7. Factor -125 - 28*s**2 + 26*s**m - 12*s + 107.\nAnswer: -2*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/11  (b) 12.38032  (c) 0.2  (d) 0.1  (e) 4  (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.04 and -66.19.\nAnswer: -2.6476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -2*y**3 - 7*y**2 + 3*y + 2. Let c(f) = 3*f**3 + 13*f**2 - 5*f - 3. Let r(h) = -h**3 + 7*h**2 + 5*h + 19. Let w be r(8). Give w*p(q) - 3*c(q).\nAnswer: q**3 - 4*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 26 - 46 = 0. Suppose k*r + t + 3 = -2*t, -2 = -4*r + 2*t. Solve -4*i = -r*i - 8, 5*s - 3*i = 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12659293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 325 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**3\/3 - 242347*i**2 + 5089244*i\/3 - 1454068.\nAnswer: (i - 727034)*(i - 6)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 104659 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 281 is divided by 48.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -6259*b + 78. Let o be i(-5). Let z = 1255009\/40 - o. Find the common denominator of z and 49\/12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -8 and -0.0465.\nAnswer: 0.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 122615 + 211706. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-18)\/50)\/((-597)\/995). Let y(g) = g + 2. Let v be y(0). Factor -48\/5 - l*f**v + 24\/5*f.\nAnswer: -3*(f - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4*-8 - (-504 + 504)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4193 and 1883?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 4 + 3*i**5 - 5*i**5 + (0*i + i + i)*(-24*i**3 + 24*i**3 + 19*i**4).\nAnswer: 36*i**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-9))\/(1\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (116\/(-14))\/(1130\/7910)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**3 + 5*p**2 - 6*p - 3. Let w(v) = -v**3 - 9*v**2 - 18*v - 15. What is the remainder when n(-4) is divided by w(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5440 - b**2 - 4*b**2 - 4503.\nAnswer: -5*b**2 + 937","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand m - 2*m**3 - m + (10 + 16 - 10)*(-3 - m**3 + 3).\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 52488326 and 10888.\nAnswer: 2722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 557 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3036532 is divided by 1462?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:22 AM and 3:39 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 29 + -26. Let h(x) = -x + 5. Let c be h(2). What is the second derivative of -17*a + 25*a - c*a**y + 5*a wrt a?\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -66 - -46. Let j = b - -22. Find the third derivative of -128 - 7*z**3 - 2*z**2 - j*z**2 + 128 wrt z.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 8 + 29. Calculate the remainder when 21 is divided by c\/3 + 3\/(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the first derivative of 2*w**3 - w**2\/2 + w - 425. Give t(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -980161*a**3*c**4 - 3*a**3*c**2 - 2*a*c**6 - 7726*a*c**2 + 9 wrt c?\nAnswer: -23523864*a**3*c - 240*a*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q - 18. Let g be i(14). Sort 1, -5, g, 5 in decreasing order.\nAnswer: 5, 1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -28 + 45. Suppose 12*d = 139 + o. Solve 2*a + 4 - d = -r, 0 = 4*r - 4*a - 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a milligram in micrograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-386883)\/(-8188) + (-7)\/(-4).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -93, 1 in decreasing order.\nAnswer: 3, 1, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 7*k**2 + 449*k - 1793. Give v(4).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 12.19 and -0.13.\nAnswer: -1.5847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y. Let i(c) = -9*c**2 + 5. Let p(o) = 2*o - 5. Let z be p(6). Let n(t) = -t + z*t**2 - 8 + t + 7*t**2. Let h(k) = 8*i(k) + 5*n(k). Give b(h(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13 - -9) + (11 - 26).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -201 - -208. Let a(k) be the second derivative of -3*k**2 + d*k - 3\/2*k**3 + 0 + 3\/20*k**5 + 0*k**4. Factor a(h).\nAnswer: 3*(h - 2)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1491862956*q**2 + 9190*q - 63970.\nAnswer: -2983725912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11 and 6703323?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 256*o**2 + 6*o - 1. Is m(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.31 + -0.15. Let t = w + 0.5. Is 0 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -70\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 86.983 + 2.017. Which is greater: 4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 414 and (10\/(-4))\/((-25)\/20)?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38435*h - 264 - h**3 - 38435*h + h**2.\nAnswer: -h**3 + h**2 - 264","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.78336837 to four dps.\nAnswer: 5.7834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13260 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1921524.\nAnswer: 2, 3, 11, 14557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*b + 0*b + b - 97 = p - 89, -3*p = 1 - 4 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -26 + 34. Suppose 4*i + c = 0, -j - 5*i + 43 = -6. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 i, and 1 d when three letters picked without replacement from dhgghli?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-10))\/(1624\/20300)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 55500 divided by -9?\nAnswer: -18500\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 10 + (-7 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 270*g**2 - 5*g + 2. Let t(o) = -o**2 + 7*o + 3. Let h = 86 + -79. Let m be t(h). Is u(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1*2271\nAnswer: -227.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1656*w = 795*w + 8610 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**3 + 5*q**2 - 5*q. Suppose -4*o + 74 + 70 = 0. Let j = -32 + o. Let v be h(j). Let y(g) = -g + 4. Calculate y(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3053.\nAnswer: 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.5 - 22.5. Let v = g + 25.4. Put -0.2, -0.5, v in ascending order.\nAnswer: -0.5, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 - 22*v**2 + 60*v + 167. Give n(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 67 + -14 + -22 + -30?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -217776196*-0.1\nAnswer: 21777619.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -310 (base 4) in base 2?\nAnswer: -110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the first derivative of 2*h**3\/3 + 3*h**2\/2 - h + 1. Calculate the remainder when 36 is divided by v(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**2 - 2 + 2. Let m(v) = 725595*v - 725595*v - 3*v**2. Calculate y(m(l)).\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-2)\/(-63)*7)\/(9\/81). Solve -5*h - 3*a + 24 = -2*h, -z*a + 22 = 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 557 is divided by 2 - 2 - 2 - (-71 + 49).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 9}. What is prob of sequence cc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and -1.25?\nAnswer: -3.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - 6 = -13*a, -7*a + 9 = -3*i - a - 7*a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 8 - 54 = 4*b, -r + b = -26. Let q = -18 + r. Suppose 2*k + 16 = -4*d + 94, q*k - 5*d = 128. What are the prime factors of k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 32.932 - -0.068. Let y = 33.27 - i. What is y rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -8*h**2 - 3*h + 2. Let z be w(2). Let p = z - -50. Let o = 9 - 5. What is the remainder when p is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6*p**3*r**2 + 73*p**3 + p*r**4 + 2*r + 1 wrt r?\nAnswer: -12*p**3*r + 4*p*r**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(2\/53)*n\/(n*n\/(n**(1\/15)\/n)))\/(n\/(n\/(n*n**(-1\/3))))**(-33) assuming n is positive.\nAnswer: n**(16778\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -43*c**4 + 8*c - 43. Let x(a) = 14*a**4 - 3*a + 14. Let t(p) = -3*h(p) - 8*x(p). Differentiate t(d) wrt d.\nAnswer: 68*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2095, 0.4, 1\/3, 0.03, -2\/9?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4805 - 0?\nAnswer: -4805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -63658673\/504 - -126307. What is the common denominator of w and 19\/567?\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80346 is divided by 539?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - 13023120?\nAnswer: -13023122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*u - 0. Let g be (-27)\/u*72\/27. Calculate the highest common divisor of g and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 4*b - 2986, 2*b + 409 = -2*r + 1929. Is 26 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z = -5*x - 5, 4*z + 53*x + 2 = 51*x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4.8?  (a) -3\/109  (b) -1\/13  (c) -1  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 322866, 644838, 966810, 1288782?\nAnswer: 1610754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1436952292?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.18 and -9?\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(720)*2 + 0 + 3)**2 - ((sqrt(720) + 1)*-4 + ((0 + sqrt(720) + sqrt(720) + sqrt(720) - sqrt(720)) + -2)**2))*-6.\nAnswer: -1728*sqrt(5) - 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w*w**(5\/3)*w*w**(-2\/15)*w*(((w\/((((w**(-4)*w)\/w)\/w)\/w))\/w)\/w)\/w*w\/(w*w\/w**(5\/4)) assuming w is positive.\nAnswer: w**(527\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -62\/106953 and -65\/9723.\nAnswer: 106953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 22\/(-6) - (-22479)\/1143. Solve -4*g + 14 = w, 34*g + y = 2*w + 39*g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1487960 + 5*b**2 - 3*b**2 + b**2.\nAnswer: 3*b**2 - 1487960","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 71308394*r*x**4 - 931111*r*x + 2*r + 3*x**3 - 91*x**2 wrt x?\nAnswer: 1711401456*r*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 5*s = -5, -17 - 18 = -5*c + 5*s. Solve c*h + 1 = -5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*b - 45 + 45 + 0*b + 6*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -202501*o**3 + 650*o**2 - 325. Let v(g) = 1250*g**3 - 4*g**2 + 2. What is 6*t(s) + 975*v(s)?\nAnswer: 3744*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/32240 and -29\/41600.\nAnswer: 1289600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*sqrt(2016) - sqrt(2016)) + sqrt(2016) + (sqrt(448)*-2)\/sqrt(8))\/(2*sqrt(72)\/(sqrt(252)\/sqrt(7) + sqrt(9))).\nAnswer: 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 67152*z - 134461*z + 67226*z.\nAnswer: -83*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -310 + 310. Sort b, 1, -1 in decreasing order.\nAnswer: 1, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from yyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (2 + 40\/(-30))\/(24\/(-9))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -78 - 8?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/(((b*b\/b**(-2\/3))\/b)\/b))\/b**(-5))\/(b*b**1\/b*b*b*b**(-4)))\/((b\/(b*b**0*b*b))**50*(b*b**1)\/(b*b\/b**(4\/5))) assuming b is positive.\nAnswer: b**(1583\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the second derivative of 87*q**8\/56 - q**4\/6 - 2*q**2 + 94*q. What is the third derivative of v(y) wrt y?\nAnswer: 10440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*m**5 - 2*m**5 - m**3 + 2*m**5 + (-m**4 + 2*m**2 - 2*m**2)*(-3*m + 4*m - 3*m).\nAnswer: -m**5 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are 318 and 322 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 250333944 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7863?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-76515)\/(-27))\/5 - 32\/(-144). Let u = -243 + j. What is the highest common factor of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/11?  (a) 0.5  (b) 1\/38  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((3 + -6*5*sqrt(2299)*2 + 5)*-6)**2.\nAnswer: -297952704 + 380160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 570 + -568. Solve 3 = -v*l + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8926 is divided by 175.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put together 41282631 and -4.4.\nAnswer: 41282626.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 126.3821534 to 1 decimal place.\nAnswer: 126.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2\/7  (b) -2\/9  (c) 0.01  (d) 3\/13  (e) -0.02  (f) 488\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 1\/10, 3, 0.3, -3.7?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1133 - -9131\/8. Find the common denominator of n and 0 + (-99)\/2 + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -14, -4, 22, 70, 146, 256, 406?\n\"Answer: b**3 + 2*b**2 - 3*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/2, 0.7, 3, -0.4, -13 in increasing order.\nAnswer: -13, -3\/2, -0.4, 0.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1\/4)\/((-2)\/((-8)\/(-3))). Let h = 0.1 - 0. Which is the second smallest value?  (a) h  (b) p  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1243233 (base 5) to base 16\nAnswer: -60f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 17*n. Let k(w) be the third derivative of 0*w**4 + 0 + 12*w**2 - 1\/60*w**5 + 0*w + 0*w**3. Calculate f(k(i)).\nAnswer: -17*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-104)\/(-39)*(-6)\/(-4). Solve o = r*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is d1 + -eb?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 10*p - 28*p + 17*p**2 - 5 - p**3 + 0*p**3. Let z = -884 - -899. Does 25 divide s(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15 - 3) + -5 - 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02537 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -22 + 3 - (133 + -144)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes before 3:50 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**2 - 6*n + 15. What is the lowest common multiple of 8 and t(5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14064419 is divided by 77277?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*d - 6*d - 66 = 0. Suppose -d*b = 2 - 104. What is the remainder when 67 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/7 > -8949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1920 and 300.\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1824, -2361, -3244, -4473, -6048, -7969?\nAnswer: -10236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 759*s**3 - 1628*s**3 + 740*s**3 + (-2*s**2 - s + s + (2*s + 3 - 3)*(s + s - 3*s))*(s + 0 + 0).\nAnswer: -133*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 27540695*a**2*t - 14094188*a*t wrt a.\nAnswer: 55081390*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 4*n - 1365. Suppose v + 3*b = n, -4*v + 4*b + 1760 = b. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 162798 and 162798 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 1300915 = 3*m + 1300880, -m = -11*w + 39 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92957 = -68*r + 16389. Is r != -1127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.49 - 22.49. Let o = w + 43. Let z = -20.44 + o. Round z to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19501068?\nAnswer: 2, 3, 19, 85531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73*q - 80*q = 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 133323 is divided by 814.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 315121485.7 to the nearest one hundred thousand.\nAnswer: 315100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 87354 is divided by 29025?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 - 5*n**2 - 2*n + 4. Let q be 15\/(-10)*8\/(-6). Suppose -3*g - q*g = 4*m, 5*g + 3*m + 5 = 0. Determine h(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18\/(-5 - 1) + (-14)\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes before 6:22 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.2341 + -0.20692. Let k = x + -0.029. Round k to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2*t**4 - 2 - 14*t**4 - 3*t**4 - t**4 - t**4 + t**4 + t**4 + (0*t**2 + 0*t**2 - 2*t**3)*(-2*t + 4*t - 4*t).\nAnswer: -15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.802 + 6.948. Round y to 1 dp.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-1\/2)*z)**(-28)*z**(1\/3)*z*z*z**(-2) assuming z is positive.\nAnswer: z**(-125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 226704 is divided by 441.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59254.\nAnswer: 2, 13, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20952168.\nAnswer: 2, 3, 73, 11959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -18 - -29. Suppose -j*s + 7*s = -16. What is the least common multiple of s and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9066?  (a) -0.2  (b) 1\/4  (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 52*h**2 - h - 8. What is the units digit of n(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**2 - 3*i - 2. Let y be f(-3). Let u be ((-4)\/8)\/(y\/8). Suppose -u*o = -j + 131, -5*j + 5*o - 3*o + 615 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j - 4*h + 27, -2*j + 5*h + 23 - 32 = 0. What is the second biggest value in -1\/21, j, -0.3?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1165 + 296*v + 1165.\nAnswer: 296*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -4b6e5 (base 16) to base 2\nAnswer: -1001011011011100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15 + 0 - 4*y - 4 - 8 to l + h*y and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1793, 3667, 5623, 7661?\n\"Answer: 41*s**2 + 1751*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes before 9:18 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 32446 - -3?\nAnswer: 32451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (-3 - 1 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 79 - 100 - 41 - -150.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 433*y + 192. What is the remainder when z(5) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61831917 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 49, 74, 115, 172, 245?\n\"Answer: 8*b**2 + b + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5299817 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 0.0006893963 rounded to 6 dps?\nAnswer: 0.000689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -o + o**2 + 4*o**2 - 2*o + 6*o**2.\nAnswer: 11*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**3 - 11*r**2 - 9*r - 32. Let h be j(12). Suppose -n + b + 2205 = 3*n, -2*b - 2210 = -h*n. List the prime factors of n.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 513?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*z + 4 = -z - z, 1612*k + 6*z = 1614*k - 22 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 - -13. Suppose 0 = 5*m - 4*h, 3*h = -m - 3*m + 31. Suppose 0*y - 2*y + 58 = 2*q, m*y - 143 = -5*q. What is the remainder when q is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 17 + -16. What is the lowest common multiple of 10 and ((-7)\/(-2))\/(a\/2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-26130)\/4355 - 17\/(-6).\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-48)\/64*(-4 + 2)*2\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25120 = 5248*v - 4620*v. What is the remainder when v is divided by 1\/1 + (17 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x = -32*x - 228. Let a(z) = -50*z**3 + 14*z**2 + 17*z + 7. Is a(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 32748 and 32748.\nAnswer: 32748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 493*w - 415 = 78*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -0*r + 3. Solve 9*y - 6*y**2 - 5*y - y**r + 3*y**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12540 divided by 20.\nAnswer: -627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -136721 > -136721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 5*x - 10 = -7*s, s - 10 = 5*x. Suppose q - 56 = -s*q. Let g be q\/35 + 4\/10. Let a(z) = z**3 - 2*z + 2. What is a(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -259 divided by 4.\nAnswer: -259\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-6)*o)\/(((o*o**1)\/o*o)\/o)*((o*o\/((o\/o**16*o)\/o))\/o)**(-3\/13))**(-22) assuming o is positive.\nAnswer: o**(2772\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 85*g**2 - g + 4. Give w(-1).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 98 = -t + 11*u, -2*u = 14*t + 9*t - 27*t - 36 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 1 = 14. Let p(q) be the second derivative of 0*q**4 - 1\/20*q**5 + 0*q**2 + 2*q + 0 + 1\/3*q**r. Find the second derivative of p(k) wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d + 17 = -f, -3*f + 3*d + 11066 = 11057 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 2*k - 2. Let f be u(2). What is the second derivative of -3 - l - 2*l + 3 - f*l**3 wrt l?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(-3)\/g)\/((g*(g*g*g*g*g**3\/g)\/g)\/g))\/((g\/g**(-1\/7)*g)\/g**2) assuming g is positive.\nAnswer: g**(-57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15798 + 27548. What is the greatest common divisor of u and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 7927 = 85. Suppose -976 = v + 5*h, 0*h = 4*v + 3*h + s. Round v to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qsnjsn. Give prob of picking 1 q and 1 s.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in one twentieth of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 3, p: 11}. Give prob of picking 2 z.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, a: 1}. What is prob of picking 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 10:47 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -145*y**2 + 3*y - 3. Let o(l) = -724*l**2 + 16*l - 16. Calculate 16*i(a) - 3*o(a).\nAnswer: -148*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.2  (b) 1  (c) 5  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 32602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = g - 10, -5*g = -s - 21 - 29. Let x be g\/4*(-4)\/60. Let o = 37.1 + -37. What is the smallest value in o, x, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - p - 2*p - 26, -12 = -4*l - 2*p. Suppose -4 - 28 = -l*b. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - f + 23 = 0, -2*y + 4*f = -0*y + 2. Suppose -4*h + 11 = y*r - 1, -4*r - 12 = -4*h. Let v(k) = 4*k + 0*k - 2*k - 5*k**2 - h*k. Calculate v(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26147393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 610\/70 + -9 - (-114)\/(-266)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3034*d + 3154*d = 2400 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 5*w = 43, 4*i + 3*w + w - 4 = 0. Suppose -c = -u - 3, u - 3*u + 3*c - 7 = 0. Is u\/6 - (-944)\/i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53828729 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -184337 + 1037497. Round k to the nearest ten thousand.\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(1\/15)*a**(1\/7)*a)**(2\/5)\/((((a\/(a\/((((a**(-1\/3)\/a)\/a*a)\/a)\/a*a*a)))\/a)\/a**(1\/7))\/(((a**(-4)*a)\/a)\/a**6)) assuming a is positive.\nAnswer: a**(-502\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-51)\/17 + 7\/1 + 1. Let c = 55 + n. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12.9999812 - -13. Round c to 6 dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 - 15*p**2 - 112*p - 1380. Give c(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 46*a. Let g(m) be the second derivative of -3 + 0*m**3 - 1\/12*m**4 + 0*m**2 - m. What is x(g(q))?\nAnswer: -46*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1, 3, -8, -3 in ascending order.\nAnswer: -8, -3, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -914 divided by -914?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 53*d**3 + 1 - 3*d**2 - 29*d**3 - 25*d**3 + 7*d. Is n(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1831047 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p - 1. Let d(a) = -28*a + 12. Let t(q) = 9*q - 4. Let o(x) = -5*d(x) - 16*t(x). Let i(y) = -o(y) - 6*w(y). Let n = -12 - -15. Calculate i(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-181)\/(-2))\/(5\/(-2)). Let r = 36 + n. What is the second smallest value in 1, 3, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 884937 + -884995. Let i = 16777 - 84169\/5. Is t < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 730774 and 2229964.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (-1 - (-1 + -1 + 5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + (0 - (-162)\/(-24))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1451 divided by -11832?\nAnswer: -1451\/11832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2388 is divided by 298.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/2, 167, 55, 383 in descending order.\nAnswer: 383, 167, 55, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**2 - 4*h + 16. Let r be a(-6). Suppose 0 = 4*x - r*g - 4, 3 = x - 3*x + 3*g. Solve 0 = x*o - o - t + 1, -4*t = 16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-312)\/728)\/(21\/(-686)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -123*v**2 + 323*v**2 - 188*v**2 - 47*v**2.\nAnswer: -35*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a + 3. Let q be c(-9). Let j = q + 0. What is the tens digit of 10*4\/(-16)*j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2392, 4749, 7102, 9451, 11796, 14137?\n\"Answer: -2*n**2 + 2363*n + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the third derivative of -143*y**9\/504 - 37*y**5\/15 + 110*y**2. Find the third derivative of q(f) wrt f.\nAnswer: -17160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -4*x - x + 0 + 7 + 4*x. Give t(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -710.2  (b) -1\/701  (c) -2\/15  (d) 4  (e) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -187*y**2 - 1918*y**2 - 207*y**2 + 189*y**2 - 470*y**2.\nAnswer: -2593*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*p**3 - 2*p**3 + 5*p - p**3 + (0*p - 2*p + 0*p)*(-p**2 + 0*p**2 - 3*p**2) + 2*p**3 - 1 + 1 in the form d*p + k*p**3 + z*p**2 + t and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 44142491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 37 + -16. Let n = 27 - c. What is the second derivative of -4*d**4 - 6*d**4 - n*d + d**4 - 8*d wrt d?\nAnswer: -108*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -214.4, 0.8, -3, 2\/11, -4\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/3448865 and 137\/50470.\nAnswer: 710466190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 564128 and 11407.\nAnswer: 6205408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve p - 24 = 5*w, 13*w + 2*p = 17*w + 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -4*t + 3. Let z be c(5). Let u = -16 - z. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1611, 1565, 1423, 1137, 659, -59?\n\"Answer: -8*k**3 + 10*k + 1609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 30945 - 30874. Solve w*p + 10 - 507 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of -38*j**5\/5 - 4*j**3\/3 + 5*j**2\/2 + 34*j + 90. Find the second derivative of b(r) wrt r.\nAnswer: -456*r**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + -20 + -4 - -14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -4*h + 12, 3*h - 7*g = -3*g + 16. Let p = 2 + h. Solve 0 = -2*a - p - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.4 - -1.1. Which is the biggest value?  (a) 2  (b) 3  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 3 - 12. Let q be 3\/l + 1 - -294. Suppose 2*m + 44 = q. Calculate the highest common divisor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -j**3 + 11*j**2 + 391 wrt j?\nAnswer: -3*j**2 + 22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7254673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v. Let l(z) = 3 + 0 + 2*z - 3. Suppose -5*p + 4 = -16. Let s be (-58)\/(-6) - 1\/(-3). Determine p*l(u) + s*k(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 0.2  (b) 1037  (c) 29\/11  (d) -5  (e) -2\/5  (f) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 + -3. Let a(b) = -3*b**3 - b. Let v be a(c). Determine r, given that 3*r**5 - r**3 + 2*r**3 - v*r**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r + 3. Let q be o(2). Which is the second smallest value?  (a) 2  (b) -4  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k, 1 r, and 1 y when four letters picked without replacement from ysskvsrysssskssks?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 30*x**2 + 10. Let j be r(5). Is j\/6 - (-11)\/33 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -40 - -34. What is the closest to -2\/7 in 4, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.9?  (a) 0.8  (b) -5  (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -460, -0.02, 50, 4, 5, -3, 0.5 in decreasing order.\nAnswer: 50, 5, 4, 0.5, -0.02, -3, -460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -n**2 + 0*n**3 - n**3 + 2*n**4 + 2 + 283916*n - 283997*n in the form q*n**3 + b + v*n**4 + r*n**2 + l*n and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-7)*((-7)\/120)\/((-10)\/50).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 10) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/3*3\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i**2\/2 - 172*i - 1745\/2 = 0. What is i?\nAnswer: -5, 349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.48 * 5\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1 - 20\/(-28))\/((-3)\/(-21)). What is the second smallest value in n, -8, -1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -5*s**2 + 4*s + 34. Let d(p) = 2*p**2 - 6. Let c(h) = 6*d(h) + t(h). Suppose -l + 5*y - 8 = -34, -10 = 2*y. Determine c(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(588)*-1*1*-3)\/((2*sqrt(72)*5 - sqrt(72))\/sqrt(12)*4))**2.\nAnswer: 49\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-384)\/5120)\/(2\/(-4)). Let j(s) be the first derivative of 0*s**2 + 15 + w*s**4 + 1\/5*s**3 + 0*s. Factor j(a).\nAnswer: 3*a**2*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -49763*k**2 - 115*k - 192.\nAnswer: -99526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 5.881706 milligrams?\nAnswer: 0.000005881706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8016*q**3 - 34759*q + 2167*q**3 + 32*q**2 + 34733*q wrt q?\nAnswer: -35094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (62586\/342)\/(-183)*((-1)\/537)\/((-3)\/9)?\nAnswer: -1\/179","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -269 divided by 4.\nAnswer: -269\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 15866.0964 seconds?\nAnswer: 0.026233625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (1 - 1\/(-12))\/(22\/(-231)) and 39\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 13*f**2 - 3. Let u(a) be the third derivative of -a**4\/12 + 4*a**3\/3 - 10*a**2. Let k be u(5). What are the prime factors of l(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 - -4. Let x = s - 2. What is the units digit of 3\/((-3)\/(6\/x))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 116 divided by -9?\nAnswer: -116\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -337 + 303 = h - 4*f, -3*f + 102 = -5*h for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -13685*j**3*m*s**3 + 17*j**3*m*s + j**3*s + 106264*j*s**3 wrt m?\nAnswer: -13685*j**3*s**3 + 17*j**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 608 - 604. Suppose 2*m = -5*s + 37, -6*m + 9*s + 11 = j*s. Solve m*g - 10*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**3 - 4*a**2 - 5*a + 2. Let o be v(5). Suppose -5*z + 6 = -o*z. Let u be 38\/(-154) - z\/11. What is the smallest value in u, -1\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 37*u - 78*u + 38*u + 16. Let c be d(-4). Let n be 176\/c + (-8)\/28. Solve -2*w = -0*w - n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5522, 5505, 5478, 5435, 5370, 5277, 5150?\nAnswer: 4983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3925 and 25150.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 7*g**2 - 221*g + 3000. Calculate the remainder when v(14) is divided by 261.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 9, g: 3}. Give prob of picking 3 g.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/4*c**3 - 1\/4 + 1\/4*c + 1\/4*c**2.\nAnswer: -(c - 1)**2*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2197 is divided by 122.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7711)\/146509*(-1178)\/10?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2461267?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -109*d - 2. Let o(t) = -95*t**2. Determine o(p(c)).\nAnswer: -1128695*c**2 - 41420*c - 380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -159 - -157. Which is the second smallest value?  (a) -3  (b) 2\/11  (c) r  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.236069 months to years.\nAnswer: 0.35300575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -78?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 1 g when three letters picked without replacement from {g: 1, f: 18}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19386 - 19386. Which is the second smallest value?  (a) l  (b) -3.89  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**2 + 7*r - 3. Let l(v) = 2*v + 30. Let n be l(0). Let p = n + -38. Let z be u(p). Solve -z*a - 1 = -3*j, -2*j - 6*a = -a + 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 41 = -50. Suppose 21 = 2*n - 4*c - c, -5*c = 4*n + 3. What is the second derivative of w**g - 183 + 183 + 8*w**n + 7*w wrt w?\nAnswer: 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c + 22. What is the remainder when 27 is divided by o(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16.08 - 0.18. Let u = o + -14.9. Is u at most as big as -1\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1445421 weeks to hours.\nAnswer: 24.2830728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.06  (b) -0.33  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 8 = b, -o = -5*o + 8. Solve 2 = -j + 6, u = -2*j + b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 64\/237675 and -7?\nAnswer: 237675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i**5 + 16*i**4 - 18*i**3 = 0 for i.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3319549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (627 - 626) + -6 + (-144)\/(-28).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/6 - 96\/180. Let f = -29\/110 - 3\/22. Let n = 25.9 - 20.9. Which is the nearest to f?  (a) -3\/4  (b) x  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -cea (base 16) to base 9.\nAnswer: -4473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3.438 + -0.562. Which is the nearest to 1?  (a) 3  (b) -5  (c) 0  (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 794489537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (9\/3 - 3) + (-36)\/(-12). Suppose n*l = -g - 4*g + 3841, g = 4*l - 5106. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3513*v = -3406*v - 856. Solve -v*s - 35 = -11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the first derivative of -1\/3*q**3 + 0*q**2 - 3\/4*q**4 + 0*q - 2. What is the third derivative of c(s) wrt s?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 482514191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 35563 + -6131.\nAnswer: 29432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence exee when four letters picked without replacement from yyeyxxxxeyxeee.\nAnswer: 25\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -38*h - 76*h**2 + 5*h + 19*h + 30*h**2 in the form v + w*h**2 + z*h and give w.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 15*x**2 - x - 1. Let p be a(-2). Suppose 0 = n + 2*s - 46, 2*n - 3*s = n + p. What is the greatest common divisor of 130 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1075886?\nAnswer: 2, 7, 31, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, 0, 7758, 6, -3 in decreasing order.\nAnswer: 7758, 6, 3, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 8 = 4*f, 4*f - f - 8 = -5*p. Find the third derivative of 1 - 5*a**4 + 138*a**2 - 12*a**4 + 2*a**p - 15*a**4 wrt a.\nAnswer: -720*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11861 is divided by 538.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-4)\/10)\/((-7)\/5). Which is the nearest to -0.2?  (a) 5\/3  (b) j  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 67158 and 20566?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -231582 divided by 39?\nAnswer: -5938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**3 + 4*p**2 - p. Let y be t(-5). Are y and -19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 263, 5, -1, 3 in ascending order.\nAnswer: -1, 3, 5, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - 0 - 2 - 18) + (-11 - -4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -51.8 - -52. Let o(p) = -2*p**3 + 5*p - 13. Let t be o(2). What is the smallest value in -2, z, 2\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 5*r + 9*r - 2)*(28 + 90 + 69) + (0*r + 3*r - 4*r)*(3 - 4 + 0).\nAnswer: 749*r - 374","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o + 11. Let g be l(-11). Suppose 4*y + z = 16 + 10, g = -y - 5*z + 16. Is 6 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -70\/8097 and -46\/8097.\nAnswer: 8097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 16019995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -809*91\nAnswer: -73619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/209 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -9*v - t + 97757, 0 = -3*t + 3. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 less than 16651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 141915*j**5 - 23*j**4 - 2596136*j**2?\nAnswer: 8514900*j**2 - 552*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 14685*w. Let v(b) = -b. What is z(v(s))?\nAnswer: -14685*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-41)*f**(8\/11))\/(f\/f**(2\/27)*f**(-1)))**(7\/5) assuming f is positive.\nAnswer: f**(-83573\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -2*c**3 + 26*c**2 + 614*c - 375. Determine b(25).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 208 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*o**3 - 5*o**3 - o**3 + 91*o - 170*o + 9*o**3 as l*o**2 + q + f*o**3 + i*o and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the first derivative of -z**4\/4 + 13*z**3\/3 - 9*z**2 + 43*z - 81. Is m(11) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uun when three letters picked without replacement from hukhjzhhhknhukk?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 - 5*r**2 - 7*r + 8. Let u be d(6). Let m(j) = 8*j - 48. Let a be m(11). Let z = -39 + a. Calculate the highest common factor of u and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**2 + n - 1. Let v(t) = -t**3 + 12*t**2 - 12*t + 4. Let w(x) = 5*k(x) + v(x). Let z(y) = -16*y + 70. Let u be z(4). Give w(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 86*x + 4775 = 1342 - 4330 - 1095 for x.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 396.5523 centimeters in meters?\nAnswer: 3.965523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1306260 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**3 + 10*c**2 + 16*c - 15. Let k be a(11). What is the highest common divisor of k and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -25 + 7. Suppose 5*d - 170 = -5*l, l + 3*d - j = 38. Suppose r = w + l, 22 = -2*r - w + 86. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 14 + s - 5*s + 3*s. Let j be b(8). Suppose j = 3*y - f - 0, -f = 5*y - 10. Is 2 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 + -15. Let t be (-2)\/3*(-3 - h). Suppose 0 = v + 3*v. Sort 1, v, t.\nAnswer: t, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -4*y + 80. Does 17 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2666 and 1.4.\nAnswer: -0.37324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 32733048.04034 + -266.04034. Let a = 32732792.00000048 - o. Let c = 10 - a. Round c to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 43 divided by -15\nAnswer: -43\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-17) - (3300\/(-170))\/(-5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the second derivative of -u**5\/120 - u**4\/12 + u**3\/6 - u. Let a(x) be the second derivative of r(x). What is the first derivative of a(c) wrt c?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ywwhyyywly. Give prob of sequence wlwy.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -d - 20. Let k = 0 - -0.1. Which is the smallest value?  (a) k  (b) -3  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*x**3 + 3*x**3 - 3*x**3)*(15*x + 4*x + 4*x).\nAnswer: 92*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-45)*3)\/((-39)\/(-273))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3407 + 10538. List the prime factors of h.\nAnswer: 3, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z\/((z**(2\/27)\/z)\/z)*z*z**25*z assuming z is positive.\nAnswer: z**(808\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 25, 12, 15, 40, 93, 180, 307?\n\"Answer: o**3 + 2*o**2 - 26*o + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**44)**48 assuming t is positive.\nAnswer: t**2160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -147714, -295391, -443064, -590733, -738398, -886059, -1033716?\n\"Answer: 2*y**2 - 147683*y - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -w**5\/4 + 5*w**4\/2 - 8*w**3 + 13*w**2\/2 + 33*w\/4 - 9 = 0?\nAnswer: -1, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -41 + 44. What is the smallest value in g, -4, 5, -0.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(10)\/sqrt(180) - (sqrt(2)*-4*-3)**2.\nAnswer: -288 + sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 44\/351 and -7\/702.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes before 6:13 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 7*k**3 + 4*k**2 - 13*k + 6. Let i(c) be the first derivative of c**4\/4 + c**3\/3 - c**2\/2 + 2. Let q(t) = -6*i(t) + o(t). Give q(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3, -74, 7, -5 in descending order.\nAnswer: 7, 5, -3, -5, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 279 is divided by 270.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-57 + 152 + 76)*(-4*l**3 + l**3 + 0*l**3) - 4*l**3 + l**3 + 0*l**3 + 5*l**3 - l**3 - 3*l**3 + (-2*l + 0*l + l)*(2*l**2 + 4*l**2 - 4*l**2).\nAnswer: -517*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -v**3\/4 + 22351*v**2\/4 - 137381567*v\/4 + 135892032113\/4 = 0.\nAnswer: 1217, 10567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 5 = -5*c, -2*g + 0*c - c = 1. Suppose g*k = k + 3. Let v(d) = d - 9. Let t(m) = 5. Let i(o) = -5*t(o) - 3*v(o). What is i(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 5*u**2 + 52190*u + 156525 = 0.\nAnswer: -10435, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (16\/(-12))\/((-4)\/(-6)*1). Let f be 1\/(1 - 4\/3). Sort f, -1, x.\nAnswer: f, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 4, n: 2, e: 7}. Give prob of picking 1 z and 1 n.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4.962 + 0.038. Which is the third smallest value?  (a) 3\/2  (b) 0.3  (c) -0.3  (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 19*z + 1. Let o(f) = f - 1. Determine -2*o(j) - t(j).\nAnswer: -21*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/3*39\/(-2). Suppose 0 = u*m - 30*m + 12. Solve 5*c + m = 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49633 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**3 - 6*p**2 + p - 4. Let v be t(6). Suppose 19 = v*x + 1. Suppose 0 = -4*r + 3*a + 24, 0 = -4*r + 5*r + 3*a + x. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108 = a - t, 4*a + 5*t = 595 - 163. Suppose -a = -r - 3*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 3 o when four letters picked without replacement from {c: 3, o: 7, n: 2}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6, 28, 76, 150, 250?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = -59 + 4. Let n = b - 42. Let y = 11 - n. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 46639307 - 112400733907\/2410. Let d = x + -6\/241. Calculate the common denominator of d and 15\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10 - 4)*5\/(-10) - 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -126, -169, -284, -507, -874, -1421, -2184?\n\"Answer: -6*x**3 - x - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8.3 + -1.5. Let l = k + 5.2. Is -2 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 332, 725, 1204, 1811, 2588, 3577, 4820?\nAnswer: 6359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 39262064 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 108163229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/((-16)\/5))\/(30\/36)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**(-1)*a*a*a**9*a)\/(a*a**(-1\/7)*a*a*a\/(a*a**6)*a))**(-7\/3) assuming a is positive.\nAnswer: a**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, -5, -4, 0.0458, -0.1, 4.3.\nAnswer: -13, -5, -4, -0.1, 0.0458, 4.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -44 + q**2 + 7*q - 3*q + 48. Let l(k) = -4*k**2 - 12*k - 13. What is -2*l(y) - 7*t(y)?\nAnswer: y**2 - 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -220.25 + 612255.\nAnswer: 612034.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2615 is divided by 71.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nkmmhmpmkkn. What is prob of sequence nmkk?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*k + 5*k = -15. Let l = -4 - -19. Calculate the highest common divisor of k and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6.9, 0, 458 in decreasing order.\nAnswer: 458, 6.9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 + 738a222?\nAnswer: 738a21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 3 + 15 + -13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-262 + 262 + 13*r)*(86*r + 56*r + 7*r).\nAnswer: 1937*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -3. Let l(n) = -n - 3. Let q(r) = -6*i(r) + 4*l(r). Let s be q(3). Let z be (8 + -11)*s\/9. Solve -5*h + 15 = -z*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y**4 + 2 - 2)*(-2 + 2 - 3*y) + (y**2 - y**2 - 5*y**3)*((1 - 2*y**2 - 1)*(0 - 2 + 0) + 7*y**2 + 7*y**2 - 7*y**2).\nAnswer: -49*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.3  (b) 2  (c) -0.51  (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 122956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:54 AM and 2:00 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*c + 23*c - 3*s = -44, 33 = 3*c - 2*s for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 207, 235, 283, 351?\n\"Answer: 10*x**2 - 2*x + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 4*w**2 + 4326*w - 8. Let m(g) = -2*g**2. Calculate n(m(t)).\nAnswer: 16*t**4 - 8652*t**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2977.\nAnswer: 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 51569685137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 104 and ((-25)\/(-4))\/((-165)\/(-264)).\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 12*m + 71. Determine o(5).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/14*(-175)\/300. What is the nearest to 1 in -5\/7, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.0145 - -0.0335. Let q = 6.061 + y. What is q rounded to one dp?\nAnswer: 6.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-15)\/(x**(-2)*x))**2)**(-2\/3) assuming x is positive.\nAnswer: x**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1371, 729, 179, -273, -621?\n\"Answer: y**3 + 40*y**2 - 769*y + 2099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14368 - 15685 = -41*o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -67*a + 62*a + 12220. Let r = a + 4217. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/264 and -17\/1098?\nAnswer: 48312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 11001110011100001 (base 2) in base 11?\nAnswer: 72459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, 0.2166, 0.11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -16625 - -255. Let p = l - 4076. Let i = p - -12146. What is i rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 2*j + 59. Let d(k) = 1. What is -4*d(r) + o(r)?\nAnswer: 2*r + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 7*f - 1 - 2 to the form i*f + n and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -17379 divided by 9?\nAnswer: -1931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 10*k - 2. Let r(w) = 11*w - 2. Let m(q) = -4*b(q) + 3*r(q). Let x be m(2). Let y be (-1)\/4 + (-99)\/x. Solve 2*g + y = 6*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**3 - a**2 - a + 4. What is v(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 2*v - 4 = 0. Is -5\/9 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 23 + 14 = 0. Suppose 2*z - z + 6 = q*o, 6 = o + z. Suppose -o*i + 2 = -4*i. What is the nearest to 4 in i, -2\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1719, -1708, -1695, -1680, -1663, -1644, -1623?\n\"Answer: p**2 + 8*p - 1728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 5, 2, 0 in descending order.\nAnswer: 5, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -5*w + 273, -5*y - 265 = -5*w - 0*y. Let r = 68 - w. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 - -860643?\nAnswer: 860641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a = 4*i - 8, 0 = 9*i - 4*i + a + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s*(s\/(s\/(s*s\/(s*s**15*s)*s)*s))\/s*s*s**(11\/2)*s*s**6*(s\/s**(-4))\/s*s assuming s is positive.\nAnswer: s**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 4*u = 14, m - 4 = -m - u. Let w(n) = n**3 - n**2 - 2*n - 1. Let f be w(2). Which is the second smallest value?  (a) m  (b) 0.2  (c) f  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(1\/4)*w)\/(w\/((w**26*w)\/w)) assuming w is positive.\nAnswer: w**(109\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 681.16 + -8.16. Let t = z - 672.159. Round t to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (19 - (-2030)\/(-110))*33\/6. Factor 1\/2*k - 1\/4*k**4 + 0 - 1\/2*k**t + 1\/4*k**2.\nAnswer: -k*(k - 1)*(k + 1)*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 10) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -677 (base 12) to base 6.\nAnswer: -4231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 12*d - 33. Let g(b) = -6*b + 19. Determine -4*f(h) - 7*g(h).\nAnswer: -6*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 24\/16*(-4)\/(-6). What is the biggest value in z, -3\/7, -4\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58522 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -106*w**2 - 32980*w - 7384. Let t(x) = -70*x**2 - 21987*x - 4922. Let o(a) = -17*p(a) + 26*t(a). Determine j so that o(j) = 0.\nAnswer: -611, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25475 (base 11) in base 3?\nAnswer: -1212001222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**2 + 49*q + 603. Determine b(-27).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -2*d**2 - 553*d - 18892. Determine j(-41).\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -s**2 - 4*s**3 - 20 - 273*s + 3*s**3 + 275*s in the form y*s + p*s**2 + m*s**3 + t and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 239 = -3*q - 661. Let o be (-1)\/(-2*(-2)\/q). Suppose -2*l = 3*l - o. Round l to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 593367?\nAnswer: 3, 83, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 6*w + 4*r - 31, 8 = 2*r. Let p be 21 - w\/((-6)\/(-2)). Is 8 a factor of (p - 1) + (-3)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-39*51\/1989)\/(2\/(-66)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 + 6*q - 6 + 0*q**2 + 3*q. Let y be t(-11). Suppose -8*m + 4*m = u + y, -9 = 4*u + 5*m. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + -3. Let k = 3834 - 7667\/2. What is the fourth biggest value in j, 2\/7, -2\/7, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 518 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 143*s + 20 = 138*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 202 + 7\/((-42)\/(-18)). Let d = 205 - b. Solve 16 = -4*x - 6*p + 2*p, d = -2*x - 3*p - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**3 + 2*v**2 - v - 2. Let f(a) = 2*a**5 - 32*a**4 + 145*a**3 - 38*a**2 - 647*a - 430. Let w(u) = 2*f(u) + 2*o(u). Find i such that w(i) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 - 9. Let h be 1\/2 + (-358)\/r. Let n(c) = -4*c - 2. Let x be n(-3). What is the highest common factor of h and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 20787 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -892, -2828, -5820, -9886, -15044, -21312?\n\"Answer: -3*s**3 - 510*s**2 - 385*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand j + j - 6*j + (-3 - 3 + 5)*(19*j - 24*j + 45*j).\nAnswer: -44*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-58654)\/(-15) - (-144)\/(-540)?\nAnswer: 2, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 703037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 172438 is divided by 56896?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i = 54 - 22. Suppose -3*x = -4*u - 12, -i*x - 16 = -8*x - 2*u. Solve -2*y = 2*p - 14 + 2, -x*y = -2*p - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9163 and 1327802.\nAnswer: 14605822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**2 + 5*o - 5. Let v be u(-7). What is the units digit of 1 - 2*v\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 30 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2138699818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 100 - 99 - (1 + 0) - 22?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -48 - -53. Suppose w = -4*y + 7, -u*y + 0*w + 5 = 2*w. Let s be 1 - 3 - y - -2. Let c(z) = z**3 + 2*z**2 - z - 4. Give c(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/4828 and -91\/24?\nAnswer: 28968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-3))\/(((-102)\/45)\/17).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -386312*r**3 - 5*r + 387667*r**3 + 5*r.\nAnswer: 1355*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 4, q: 3, a: 2, p: 2, m: 1, g: 2}. Give prob of sequence qq.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/4)\/(546\/532 + -1). Let h(g) = -g**2 + 17*g + 32. Determine h(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 541437?\nAnswer: 3, 13, 13883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 375 divided by -3\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 513*y + 160*y - 7043 - 360 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -619 - -621. Solve x = 3*m - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 98.15, 4, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 + 19)*9\/12. Suppose f = p - x, -f - 9 = 2*f. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, -1\/9, 3827, 0.5, 13, -1\/2.\nAnswer: -1\/2, -1\/9, 0.5, 13, 16, 3827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the second derivative of -f**3\/2 - 29*f. Let y(z) = -12*z**2 - 13*z**2 + 28*z**2. Determine y(h(k)).\nAnswer: 27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/(-4)*(-525)\/(-6125)?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 324659806 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(648)*-5 - sqrt(648) - sqrt(648))\/((sqrt(9) - sqrt(1089))*-5).\nAnswer: -21*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.2, 1\/2, 2, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 37, -9\/7, 6, -1\/7, 5 in decreasing order.\nAnswer: 37, 6, 5, -1\/7, -9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*z**3 + 4*z**3 + 12*z**3 + 8*z**3 + 4*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 166, -3, -0.5, -1.3, 7?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-1)\/(-6) + 388\/12 and -2 + 3 + 742\/252?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 2*p - 16 = -3*h, 0 = 2*p - 8. Let t = h + 2. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -47 - -52. Suppose -a*k - 2*k + 238 = 0. Calculate the remainder when k is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 162766733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 6.889 * -2\nAnswer: -13.778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -942, -5, -25, 3 in increasing order.\nAnswer: -942, -25, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-8)\/24*-5638)\/((-4)\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17738 by -4.\nAnswer: -8869\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:06 PM and 2:49 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**4\/5 + 39338*b**3\/5 - 36174078*b**2 - 112655591370*b + 826573189820400.\nAnswer: -2*(b - 7935)**3*(b + 4136)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -27 - -25. Let r(x) = -2*x**2 + 6*x - 10. Let c(q) = -q**2 + q - 2. Let b(w) = 5*c(w) - r(w). Give b(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17 + 5 - 9)*((2 - 2*t - 2)*(t**4 + 0*t + 0*t) + 5 - 2*t**5 - 5).\nAnswer: -52*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -66*l**2 - 5377506*l - 810681646 with respect to l.\nAnswer: -132*l - 5377506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - (-4 - -5 - 4)) + 4 + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1217\/22 - -111\/2. Let o = -14.8 - -16.8. Put 5, o, b in decreasing order.\nAnswer: 5, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 + 99. Calculate the highest common factor of 1443 and j.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by -60610.\nAnswer: -1\/60610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25 + 9 - 20)*(-22*p + 2*p**3 + 0*p**3 + 27*p).\nAnswer: -72*p**3 - 180*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -204.3149 from 37668.\nAnswer: 37872.3149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 331281100?\nAnswer: 2, 5, 3312811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 19018 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(28) - (sqrt(252)*5 - sqrt(252))) + 5*sqrt(1372))\/((sqrt(40) - sqrt(1000))\/sqrt(10) + sqrt(100)*-2).\nAnswer: -12*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 17\/6 of a century?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, -2\/41, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1289221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oos when three letters picked without replacement from ossooss?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + a - 2*n - 190 = 0, -2*a - 2*n + 62 = 0. Let t(w) = w + 7. Calculate the remainder when a is divided by t(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 79.03603 + 24.\nAnswer: 103.03603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -29*m + 9. Let a(i) be the first derivative of 7*i**2\/2 - 2*i + 71. Let s(z) = z**3 - 9*z**2 + 2. Let j be s(9). Calculate j*x(u) + 9*a(u).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1100111101111000 (base 2) to base 6\nAnswer: 1045520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15.49 - 15.43. What is the third biggest value in g, -1\/3, 8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 10, 2*v - 16 = -5*k + 5. Let l = 3 + v. Solve -3*i - 11 = l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/3, 4\/7, 1688\/3, -1 in decreasing order.\nAnswer: 1688\/3, 4\/7, -1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 83 divided by 5\nAnswer: 83\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 882, -3165, -14150, -35541, -70806, -123413, -196830, -294525?\n\"Answer: -578*q**3 - q**2 + 2*q + 1459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 13826655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -862*w - 556*w + 548*w - 352*w - 676*w to the form n + t*w and give t.\nAnswer: -1898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 43372 to the power of 1\/2, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 2 = 3*w. Let d = w + 1. Let p(v) be the third derivative of -v**4\/24 - 2*v**3\/3 + 4*v**2. Calculate p(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of (-4)\/(-16) + (141\/(-4))\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 2*j**2 - 4*j - 2. Give o(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -5*3.4\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -5 - b + 3 + 2. Let s(t) = 14*t - 3 + 3. Give s(y(q)).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -23511*s**5 + 62703*s**2.\nAnswer: -1410660*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -31 - -45. Let n(z) = -11*z**2 - 9*z - 13. Let q(l) = 31*l**2 + 28*l + 40. Let b(k) = 17*n(k) + 6*q(k). What is the tens digit of b(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8.62 + 1.62. Let k = -6.308 - -1.308. Which is the closest to -1?  (a) k  (b) -0.4  (c) -1  (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 668, 633, 588, 527, 444, 333, 188, 3?\n\"Answer: -a**3 + a**2 - 31*a + 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 22347 times 3?\nAnswer: 67041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k + 2*w = -5, 2*k = 6*k - w + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 342415650 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: Simplify ((p**(1\/7))**(-1\/3)*p**(-5)*p*p\/(p*p**(2\/7))*p*p)**(-47) assuming p is positive.\nAnswer: p**(329\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 19291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 + 0)*(2142*p**4 - 625*p**4 + 2659*p**4).\nAnswer: 8352*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19347 is divided by 9669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 12, 3, 5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**3\/2 - 113*z**2\/2 - 721*z\/2 + 833\/2.\nAnswer: (z - 119)*(z - 1)*(z + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -470 + 17?\nAnswer: -454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -1, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (-2 + 11 + -13 + 5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 71157*i - 2 - 71157*i + 2 - 3656*i**4 + (i**3 + 5*i**3 - 4*i**3)*(4*i - 2*i + 0*i) - 15*i - 5*i**4 + 15*i.\nAnswer: -3657*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/23873472 and 117\/560.\nAnswer: 119367360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -42 - -51. Let j = 122 - n. What are the prime factors of j?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 + 11*h - 10. List the prime factors of w(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -119, -104, -63, 16, 145, 336?\n\"Answer: 2*j**3 + j**2 - 2*j - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 - 12)\/(10\/(-44)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 77 - 319. Let r be (-7)\/28 + h\/(-8). Let n be r\/(-4)*2\/(-10). Is 2 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/42)\/(261\/2233) + (-64)\/30?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 100259178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, i: 6, r: 3, m: 2, a: 7}. Give prob of sequence ma.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000698561452 rounded to six decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -15*v. Let s(d) = -3580*d**2. Determine t(s(x)).\nAnswer: 53700*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/25830 and -29\/3838338.\nAnswer: 19191690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -91, -92, -103, -130, -179, -256, -367?\n\"Answer: -a**3 + a**2 + 3*a - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132) + -3*sqrt(132)*3 + sqrt(132))\/sqrt(12)*2.\nAnswer: -14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 267, 271, 277, 285, 295, 307, 321?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 68 + 4*y**2 + 3*y**3 + 3*y - y - 79*y.\nAnswer: 3*y**3 + 4*y**2 - 77*y + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 950*p**4 + 29*p**2 + p + 10.\nAnswer: 22800*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**3 - 5*w**2 + 5*w - 4. Let o be (2 - 3) + (-13 - 1). Let i = -10 - o. Is s(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 34\/24 + (-4)\/6. Let y = 12\/5 - 19\/10. Let u = -2553 + 2549. What is the nearest to y in u, x, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 17684945 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(608)*2 + sqrt(608))*1 + sqrt(608)*-2*3)\/(sqrt(64)\/sqrt(8) + -3*sqrt(72)))**2.\nAnswer: 171\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the first derivative of -2*q**3\/3 - q**2 + 4*q - 7. Let d be k(0). Solve 0 = f + 2*x - d*x - 9, -5*x - 26 = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -129*v**5 + 14*v + 15. Let u(k) = -86*k**5 + 9*k + 10. Let w(o) = 5*t(o) - 8*u(o). What is the second derivative of w(f) wrt f?\nAnswer: 860*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 399524 divided by -6\nAnswer: -199762\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5223 - -5079. Which is the smallest value?  (a) -2\/3  (b) -4  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 83720 and 5359?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12555354 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 + 0. Let u = -0.11 + 8.11. Let b = u - r. What is the biggest value in -2\/5, 4, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, l: 2, y: 1, o: 5, g: 8}. What is prob of sequence ggy?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -10 and -11?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f\/(f**(-2)\/f))\/f)**(-6\/19)*(f*(f**(2\/7)*f)\/f)**(10\/9) assuming f is positive.\nAnswer: f**(22\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 9*f**2 + 4*f - 6. Let y(l) = -2*l**2 + l + 1. Let h(w) = -t(w) - 5*y(w). Determine h(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -154 - -102. Let i = s - -61. Let k be 6\/21 - (-38)\/14. What is the highest common divisor of k and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:21 PM and 11:31 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r**5\/7 - 3*r**4 + 68*r**3\/7 + 528*r**2\/7 - 576*r\/7 = 0. Calculate r.\nAnswer: -4, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67*t**3\/4 - 601*t**2\/4 - 9*t\/2 = 0 for t.\nAnswer: -2\/67, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 less than 1.1848113539?\nAnswer: 1.1848113539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -229 + 223. Let k be (4\/j)\/((-16)\/96). Put k, 3, 1, -3 in decreasing order.\nAnswer: k, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26416781930 rounded to the nearest 1000000?\nAnswer: -26417000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 4*z - 10 - 22 - 12 - 10*z + 6. Give a(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.15 - 0.05. What is the smallest value in 0.4, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 164\/82 - (124\/40 + -3)*23.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -521 + 600. What is the remainder when y is divided by 77?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -3*b**2 + 3*b + 4. Let v(m) = -13*m**2 + 13*m + 15. Let w(l) = -9*t(l) + 2*v(l). Factor w(f).\nAnswer: (f - 3)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 7, v: 1, k: 3, y: 2, g: 1}. What is prob of sequence kkv?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*v + 14 = -13*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/28 + (-38)\/154.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 4*j + 6*j + 3*j. Let z(p) = 3*p. Give z(v(n)).\nAnswer: 39*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.44 * 209\nAnswer: 91.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1*(22\/(-10) + 2). Let x be (-22)\/(-8) + (-2)\/(-8). Let z be (x\/(45\/(-12)))\/(-2). Sort u, -0.5, z in descending order.\nAnswer: z, u, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/19, -20, 0.5, -0.1.\nAnswer: -20, -0.1, 4\/19, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -106 plus 109.4?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -155*t**2 - 45*t. Let w(l) be the second derivative of 7*l**4\/12 + l**3\/3 - 548*l. Calculate 2*n(d) + 45*w(d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 2*u = -3*c + 21, -5*c + 25 = 0. Find the third derivative of 3*l**2 - 17*l + 17*l + l**u wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1235 - 1239. What is the closest to 0.1 in u, -3, 2.8?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 63.57067 millilitres?\nAnswer: 0.06357067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-6)\/(-12)*1*262 is divided by 28*3\/6 + -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85954 - 715170 = -5936*f for f.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -c**2 + 21*c - c**4 + c**3 + 2*c**4 + 3*c**2 - 3 - 2*c**3 to the form o + a*c**2 + v*c**3 + g*c + d*c**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 15\/4 of a millisecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the third derivative of -13*y**4\/24 + 191*y**2. Let k(p) = 5*p + 4*p - 11*p + 6*p. What is l(k(c))?\nAnswer: -52*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -55*f**2 - 10*f - 2. Let l be m(-7). Let y = l - -10603\/4. What is the common denominator of y and (110\/(-72))\/(-11)*-3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**1\/f*f**(-1\/6)*(f**(2\/3)\/f)**15)\/((f**(-1\/2))**(-25\/4)\/(f**(-9)*f**(-2\/5))) assuming f is positive.\nAnswer: f**(-2123\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 30*k - 268. Let g be w(10). Suppose -3*q = -3*c + 3, 0 = 2*c - 4*q + 8*q - g. Solve -r - c = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*n**4 - n**4 + 2*n**4 + 2*n**4 - n**4 + 0*n**4 + (2*n**3 - 3*n**3 - n**3)*(0*n - n - n) + n - 5*n**4 + 0*n + 4*n**4.\nAnswer: 2*n**4 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 625853923 to the nearest integer?\nAnswer: 25017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3060 + -3063.771. Let z = 0.229 - m. Which is the third smallest value?  (a) 2.8  (b) z  (c) -0.1  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x - 12 - x + 13)*(5 + 258*x - 263*x - 3).\nAnswer: 5*x**2 - 7*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -12*u**2 + 3*u + 9. Let v be (-151)\/(-7) - 8\/14. Let w(l) = 3*l**2 - l - 2. Let y(c) = v*w(c) + 5*g(c). Factor y(x).\nAnswer: 3*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -15520074 and -2?\nAnswer: 31040148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 90, -3, 3, -1, 228 in decreasing order.\nAnswer: 228, 90, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 2 - c + 0*c - 8. Let a(p) = -p - 6. Let s(n) = 5*a(n) - 6*f(n). Suppose i + 4 = -4*h, i - 20 = 2*h + 6*i. Give s(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3\/6 + (-15)\/(-6). Let y be 0\/p + -1 + 4. Suppose i + y*v + 18 - 98 = 0, 9 = -3*v. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 - 0)*(3 + -1)*2. Let t be 101\/11 + c\/66*-3. What is the highest common factor of 171 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 59 = 54, 56*m = -4*x - 60 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -665122385714 - -665121815620.600001. Let n = c + 570094. Let l = n - 0.6. What is l rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**3 - 12*q**2 + 10*q - 2. Let o be -15 + (8 - 0)\/4. What are the prime factors of b(o)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -701 divided by -1.\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 40 + -44. Put m, 2, -3 in decreasing order.\nAnswer: 2, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1211 + 11?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3329 is divided by 53.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 1075 = b, 4*n - 4310 = 4*b + 6*n. Let v = -124 - b. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9302 + -9111. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -66 + 87. Let i = 46 - y. Solve 0 = -5*q - i, -3*f + 5 = -f - q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.047456651 rounded to three dps?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 297 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 710 = -2*y, 2*y - y = -s + 365. Let f be (y\/(-126))\/(4\/(-14)). What is the highest common divisor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 2397 = -3*t, -a = -0*t - 2*t - 591. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r + 5*u - 274 + 350 = 0, 17*r - 369 = 6*r + 3*u for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(288)\/sqrt(6) - sqrt(48))\/sqrt(4))\/sqrt(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42367?\nAnswer: 13, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - (21 - 12 - (0 - -8))) + -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 24310191.251 - 10\nAnswer: 24310181.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 - 2*j**2 - 3*j - 1. Suppose 0 = -3*h - 2*h - 10. Let q be i(h). What is the third derivative of 3*o**2 - 2*o**5 + o**5 - o**q wrt o?\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -1269*y + 105333. What is m(83)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*u - 177*u - 2470 = 0 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m**2 + 4*m + 2 - 2 + (-3*m**2 + 9*m**2 - m**2)*(-2 + 3 + 1).\nAnswer: 8*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z - 103 = 38*u + 1119, -2*u = 5*z - 6*u - 118 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**6\/(d*d\/(d\/(d\/((d\/(d\/(d\/(d**(5\/2)\/d))))\/d)))))\/(((d\/d**(-2\/3))\/d*d*d)\/(d**(-10\/7)\/d)) assuming d is positive.\nAnswer: d**(-109\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8075 - 5649. Are 2432 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes before 11:38 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 808 is divided by 210?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1141.12*-0.04\nAnswer: -45.6448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2744, -4762, -6854, -9056, -11404, -13934, -16682?\nAnswer: -19684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c + c - 3*c)*(-9660 - 13926 + 17487)*(-1 + 1 + c**2).\nAnswer: 18297*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z. Let d(s) = -4*s. Let b(g) = d(g) + t(g). Let h(m) = -5*m. Calculate h(b(n)).\nAnswer: 25*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55 - 283 = -76*o. Solve a + 8 = o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the third derivative of x**5\/60 + x**4\/4 - x**3\/2 + 16*x**2. Let m be w(-7). Let h(a) = -2*a + 4. What is h(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-10\/3)\/(b*b**(-16)) assuming b is positive.\nAnswer: b**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -383 + 380. Let p = 2 + t. Let l be (0 + 2)\/(-2) - 2. Put l, 0.01, p in ascending order.\nAnswer: l, p, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 451*b - 897*b + 5*b**2 + 446*b. Let z(l) = 12*l. Determine m(z(s)).\nAnswer: 720*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from kssssddskdsdsdssd.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 8*f = 33. Let w(j) = -j**2 - 14*j + 2. Let q be w(-14). Determine k so that -7*k - k**2 - 3*k**2 + 97*k**3 - 93*k**f - q = 0.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -7 - 138?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3663894, 7327679, 10991464, 14655249, 18319034?\nAnswer: 21982819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the third derivative of -q**7\/35 - 53*q**6\/60 - 17*q**5\/15 - 61*q**2 + 5. Factor b(s).\nAnswer: -2*s**2*(s + 17)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 144, 555, 1238, 2193, 3420, 4919, 6690?\n\"Answer: 136*o**2 + 3*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q - 8. Let f be r(9). Suppose -t + 6 = f. What is the greatest common factor of t and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 119\/155452180 and 109\/12.\nAnswer: 466356540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g - 3. Let c(s) = s - 1. Let d(m) = -6*c(m) + 2*q(m). Let a be d(-4). Solve -2*x - 3*v = 4, -3*x + 0*x + 5*v = -a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/1146, -42, -1\/2, 8\/7 in descending order.\nAnswer: 8\/7, 1\/1146, -1\/2, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0467 rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -200 + 377. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 7 = -t, -73*u + 44 = 3*t - 74*u for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -8179881 - -16.3216?\nAnswer: -8179864.6784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*g**3 + 8*g**3 - 2*g**3 - 6*g**3 + 81*g**3.\nAnswer: 85*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -728461*g**2*r**2 - 5*g**2 + 106*g*r**2 + 88*g - 11540 wrt r?\nAnswer: -1456922*g**2*r + 212*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 167*d - 63. Let p be f(21). Let g be 0 - (-4 - -4 - p). Let b = g - 2107. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 163*w + 305*w + 508*w - 1545 = 3335 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j + 2 = 7*j. Let s be j*(4\/(-8) + 1). Let q = 0.3 - 0. Put s, 3, q in descending order.\nAnswer: 3, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a + 2*y - 6066, 1 + 8 = -3*y. List the prime factors of a.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*x**2 + 3*x**2 - 5*x**2)*(-11*x - 2*x + 4*x) as n*x**3 + s + q*x**2 + g*x and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z - d + 6*d - 10, 60 = -2*z + 2*d. Calculate the common denominator of z and -47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/25 or 40.5?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-4)\/5)\/(28\/(-70)). Let z(c) = c**2 - c**2 - j*c**2 + c**2. Let s(x) = -12*x**2. Give z(s(u)).\nAnswer: -144*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1315513237 - -147\nAnswer: 1315513384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*x + 5*j - 258 + 197, -3*x + 5*j - 47 = 15*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 283219?  (a) -2  (b) -18  (c) -2\/15  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 4*y - 96, -u + 3*u + 2*y = -78. Let w be (u\/16)\/(3\/(-1)). Is w at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 - 1.9. Let r = -4321\/28 + 1082\/7. What is the nearest to g in r, -0.1, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m - 2*m - m)*(-2 + 1 + 2) - 279*m + 13277*m + 21570*m.\nAnswer: 34566*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z = 4*u + 8, 0 = -15*z + 17*z + 4*u + 28 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/21?  (a) -2\/23  (b) 0.4  (c) -0.2  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*u**2 + 0*u**2 + u**2 - 3*u**2 to m*u + r*u**2 + a and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:29 PM and 8:13 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 485 - 44*h**2 - 485.\nAnswer: -44*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -4*j - 10 - 34*j - 7 + 4 - 2*j**2. What is the tens digit of y(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*q**3 - 221368*q**2 + 442733*q**2 - 221370*q**2.\nAnswer: 14*q**3 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -77141 (base 10) to base 7.\nAnswer: -440621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29807548.\nAnswer: 2, 211, 35317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (783 - 446 - 2004 - 1660 - 185)*(5*k - 5*k - 2*k**2) to the form i*k**2 + m + q*k and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, g: 1, r: 4}. Give prob of picking 1 h and 2 r.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.07, -1, 27\/11, -3, 1\/8, -0.034, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 452*y**3 - y + 14.\nAnswer: 2712*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**2 - 2*l - 2. Let a(s) = 9*s**2 - 8*s - 5. Let m(g) = a(g) - 6*x(g). What is the remainder when m(4) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89679122 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 505.622774 to one dp.\nAnswer: 505.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 1172456124 to the nearest 1000000.\nAnswer: 1172000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 2*u**2 - 41*u + 6. Suppose 2114*i - 2157*i + 860 = 0. What is a(i)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 31978?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 463*h - 48. Let v be c(2). Let y = v + -873. Let s = 10 + -3. What is the remainder when s is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 3\/10  (c) -6  (d) -0.12  (e) 247\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 8*q - 224 = 0. Let r be 18\/81 + q\/(-90). What is the biggest value in 4, 1, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*m - 2 - 50*m + 2.\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 25459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4596 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, 0, -71 in ascending order.\nAnswer: -71, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes before 9:14 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the first derivative of c**2\/2 + 1420. Let h(a) = -a**2 + 6*a + 1. Determine -h(x) + 3*w(x).\nAnswer: x**2 - 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**2 - 5*h - 1. Suppose 3*s - 3*u = 36, 5*s - 5 - 15 = -5*u. Suppose 6*a = -s + 26. Let b be a + (-110)\/15 - 4\/6. Determine k(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:41 AM and 4:58 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -366 times 0.06?\nAnswer: -21.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2772, -2769, -2756, -2727, -2676, -2597?\n\"Answer: l**3 - l**2 - l - 2771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ahbzllwbwwzb. Give prob of sequence zl.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 6*w**2 - 4*w - 30. What are the prime factors of v(7)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the second derivative of 11*l**5\/120 + 6*l**3 + 2*l. Let x(o) be the second derivative of p(o). Let z(h) = -3*h**2. Give x(z(b)).\nAnswer: -33*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 16 = 4*w, -5*d - 5*w - 2 + 22 = 0. Solve d = -u - 0 - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5285*d**2 - 313*d**4 + 2642*d**2 - 2 + 2*d**3 + 2643*d**2 to m*d**2 + c*d**3 + p*d**4 + z*d + h and give p.\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 2*j - 3. Let h be p(10). Suppose -5*c + 4*z + 54 = -78, -105 = -5*c - 5*z. Let y = c - h. What is the remainder when 25 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -25870077 by -151287.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 124 + -499\/4. Let i = 13\/12 + v. Suppose -4*y = -3*g - 8, 6*y + 4*g + 21 = y. Which is the nearest to y?  (a) -0.1  (b) 2  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 5, -2, -9 in descending order.\nAnswer: 5, -2, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -134.2827 rounded to 1 dp?\nAnswer: -134.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*j - 26 = 16. Solve 11 = -v + 4*k, -5*v - j*k - 11 = -2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -168 = 22*t - 740. Calculate the highest common divisor of 117 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.136 - -8?\nAnswer: 8.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 64*v**3 + 115*v**3 + 4*v**3 - 637*v**3.\nAnswer: -454*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2098 = 48*q + 133*q + 2126 - 423 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4225 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: Suppose -156*s = -171*s + 75. Which is the closest to 1?  (a) 1.9  (b) s  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60727 + 3320 = -3955*c + 9828 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*i + y, i - 2*y - 3 = -9. Sort i, 5, -1 in decreasing order.\nAnswer: 5, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (-1 + sqrt(162))*2 + 5 + 0 + sqrt(162))**2 + (-1 + sqrt(162)*3 + sqrt(162) - (0 + sqrt(162) + -2))**2.\nAnswer: 486*sqrt(2) + 2981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a decade in months?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**9\/t*t)\/(t*t\/t**(-1))*t**(3\/7)*t\/t**(-2\/7)*t*t*t assuming t is positive.\nAnswer: t**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aana when four letters picked without replacement from aaaaaanan?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/5 - (-18)\/(-60). Let z = -2 - -5. Suppose a - z*a = 0. Is a != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -25*p + 200. Let n be q(9). Let i(z) = 6*z**2 + z. Let v be i(-1). Let l = v - n. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -18 + 56\/3. Sort 2, 2\/15, d in descending order.\nAnswer: 2, d, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.893197 rounded to 2 dps?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 2*w**3 - 30*w**2 - 129*w + 258. What is s(9)?\nAnswer: -1875","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 - 111202002?\nAnswer: -111202020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2349144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c\/((c\/c**(-1\/42))\/c)*c**(-3)\/c*c assuming c is positive.\nAnswer: c**(-85\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2123603453 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.855 - 4.669. Let i = -0.024 - n. Round i to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 + -4. Suppose -3*p - 26 + 38 = 0. Suppose 0 = -2*b + p*b - v + 2, b = v - q. Is b < 2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 100 - -10\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 4, s: 3, c: 6}. What is prob of picking 3 s?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((1 - 0) + 0)*(-30)\/210?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5555752, 11111506, 16667260, 22223014?\nAnswer: 27778768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n + 1465*r - 34 = 1461*r, 4*n = 3*r - 29 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -32, 1, 8, -17, -80, -187?\n\"Answer: -y**3 - 7*y**2 + 61*y - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 68007\/5765 - -4\/1153. Let y = 57\/5 - m. Let a = 300 - 3898\/13. Put y, a, 2\/19 in descending order.\nAnswer: a, 2\/19, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**2 + 4. Let g(k) = -321*k**2. Calculate g(s(b)).\nAnswer: -321*b**4 - 2568*b**2 - 5136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - 3*m = -6. Suppose 0 = -v + 3*q + 7, -2*q - m*q = -3*v + 21. Suppose j - 3*d + v = 0, 0 = -2*j - 2*d - 3 + 13. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the third derivative of 0 + 0*d**6 + 17\/60*d**5 + 0*d**3 - 1\/35*d**7 - 10*d**2 + 0*d**4 + 0*d. Find the third derivative of i(q) wrt q.\nAnswer: -144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(2\/13)*k*(k*k**(-5)*k)\/k*k*(k\/(k**2\/k))**22 assuming k is positive.\nAnswer: k**(-24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 2*i - 25. Let q be t(15). Solve -3*d = 3*g + 21, -g + 2*g - 5*d - q = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4325 - 48623733.\nAnswer: -48628058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5, 0.0188, -6, -1, -1\/4, 2\/13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1479506 + 739757 + 10*b + 739749.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 69?  (a) -0.1  (b) 45  (c) -1.44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -11220000 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -303432 (base 6) to base 2\nAnswer: -101111001001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 8457.66 + -55?\nAnswer: 8402.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 - -23062?\nAnswer: 2305a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.2619 + 5.2619. What is the third biggest value in c, -65, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/3, 7, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**3 - 5*m**2 + 3*m - 10. Is f(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59088.780311 plus 0?\nAnswer: 59088.780311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -916 - -1061. Calculate the greatest common divisor of h and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26.93668ug to nanograms.\nAnswer: 26936.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**2 - y - 22. Let s be o(6). Let q be (s - 2) + -1 + -1. Calculate the greatest common factor of q and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 136655 rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -284*u + 128*u + 107*u.\nAnswer: -49*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000690831 rounded to 7 dps?\nAnswer: 0.0000691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 138.905 + -139. Let d = 0.045 + y. Sort 4, -0.3, d in descending order.\nAnswer: 4, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1199174592 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -135806 - -193717. Let a = n - 35125. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(165)\/(sqrt(3)*2) + -2*sqrt(7920))\/((sqrt(320) + sqrt(320)*-2 - sqrt(320))*-3).\nAnswer: -47*sqrt(11)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6386591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 34376, 70038, 105700, 141362?\nAnswer: 177024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 18071 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is (-114)\/(-10) + 6\/10 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -13214444 + 4?\nAnswer: -13214440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -4\/3  (b) -4  (c) -1\/7  (d) -10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.1358, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the second derivative of 0 + 0*i**3 + 0*i**4 + 1\/120*i**6 + 4*i + 1\/80*i**5 + 0*i**2. Factor j(g).\nAnswer: g**3*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.292801 less than -0.8?\nAnswer: -0.507199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*j + 66 - 24. Solve -i = 2*i + j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*v**2 - 6052*v + 2401?\nAnswer: 4*v - 6052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 43071 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: Let i(m) = -11*m + 38. Let u be i(3). Suppose -u*k - 1460 = -5*s, s + 2*s = -k + 856. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 123*m**3*o + 2*m**3 + 2*m**2*o - m*o - 3*o + 2 wrt m?\nAnswer: 738*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*r - 7*r - 4*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 436532404*k**2 - 436532404*k**2 + 15*k**3.\nAnswer: 15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 2*z**3 - 32*z**2 + 30*z + 4. Let o be w(15). What is the third derivative of 4*p + 2083*p**4 - 6*p**6 + 13*p**2 - 4*p - 2085*p**o wrt p?\nAnswer: -720*p**3 - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 - -123?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-4788)\/(-441)*(159 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes before 2:05 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) -0.14  (c) -17  (d) -2  (e) -3\/5  (f) 0.18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 40, -38, -213 in ascending order.\nAnswer: -213, -38, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 - (-21)\/12 - (-27)\/(-4). Let v(a) = -a**2 - 9*a - 4. Determine v(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.465 - 0.035. Sort a, 0, 0.3, 0.1 in descending order.\nAnswer: 0.3, 0.1, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/22 + (-51)\/66?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 + 14154.\nAnswer: 14157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 33 + (-14 - -22) + -77\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -703 - -702. Is 19 a factor of 475 + (-1 - h)*9\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/(-6)*(-11)\/66*-18)\/((-2)\/12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**3 - 4*h**2 + 7*h - 7. Let t be a(8). Let j be t\/((-20)\/16 - -1). Round j to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 4, 1210, -4 in decreasing order.\nAnswer: 1210, 4, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7192*c + 12494 with respect to c.\nAnswer: -7192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 5*o**2 - 5*o + 2. Determine x(3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -23.33293771 rounded to 0 dps?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11*d*q**4 - 7*d*q**3 + d*q**2 - 929*d - q**4 wrt q.\nAnswer: 264*d*q - 42*d - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ekeekkekke. Give prob of sequence ekek.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -17*o - 2. Let l be v(-3). Let n be -1*6\/9 + l. Let c = -49 + n. Which is smaller: 0.1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 19*f + 6. Let d be t(-5). Let i = d - -449\/5. Which is the closest to -0.2?  (a) i  (b) 3  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - 11) + (4 - 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -759670438*q**3 + 479929265*q.\nAnswer: -4558022628*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -3*c**2 + 74*c - 82. Let p be u(23). Calculate the greatest common divisor of p and 93.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-5))\/((-1023)\/465)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 8 + 4?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 3*n = 9, 2*n - 6*n + 33 = 5*d. Let b be (2\/d)\/((-8)\/(-160)). What is the greatest common factor of 80 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-20)\/(-6) + -2 + 0. Suppose -7*l + 6*l + 77 = 0. Let j be 25\/l + 4\/(-22). What is the third smallest value in v, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -980 + 980. Solve -5*m - 4*g + 3 = 0, -7*m + 2*m + 2*g + 21 = d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y + 7*y - 4 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -151142 (base 11) in base 12?\nAnswer: -b4522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 41733.2 and -850?\nAnswer: -35473220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*u + 53*u - 4*h - 8 = 0, -u + 18 = -3*h. Solve -u*r + 5*r + 3*l + 10 = 0, -l = 5*r + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108*y - 14 = 101*y. Suppose -5*n = -9*g + 5*g + 240, 3*n + 122 = y*g. Calculate the lowest common multiple of g and 45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 14\/9 of a week?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d + 4*p - 4, -2*p + 0 = -6. Solve -m - 4*m = -d*v + 8, 0 = -3*v - 5*m + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8324 and 24?\nAnswer: 49944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 634?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1734408?\nAnswer: 2, 3, 13, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 3, n: 2, v: 4, f: 3, a: 4, u: 1}. What is prob of sequence nfn?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(2\/11)\/((l**(-5\/3)\/l)\/l))\/(l**(1\/7)*l**(2\/13)))\/((l**(2\/3))**(-33)\/(l\/((l*l**(1\/3))\/l))**(-41)) assuming l is positive.\nAnswer: l**(-5350\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*w = 14*w - 4*s + 3, 0 = 5*w + 5*s - 60. Let h = 6 + -6. Solve 0 = -w*m - h + 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1156102 or 1\/19?\nAnswer: -1156102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 135*n - 268*n + 191*n + 6.\nAnswer: 58*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z - 27 + 30. Let t(k) be the first derivative of -4 - 4*k**3 - z + k - 24 + 5. Calculate t(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 + 21*o**2 - 14*o + 58. Let w be d(7). Find the third derivative of w*s**6 + 647*s**6 - 1326*s**6 - 2*s**3 + 55*s**2 wrt s.\nAnswer: -3960*s**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(2*(-11)\/11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4765*j - 4766*j = 4*y + 26, 0 = 3*y + j + 20 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in eight fifteenths of a week?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n**2 - 2*n**2 - 2*n**2)*(-1002*n**2 + 5001*n**2 + 5089*n**2 + 2361*n**2 - 1392*n**2).\nAnswer: -20114*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 49 - 45. What is the least common multiple of u and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27.6 - 3151.\nAnswer: -3178.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2, 0.4, 4\/9, 1\/5, 10772?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 + 4 - 7) + 5. Solve -6*j = -3*j + h + 10, 0 = k*j + 3*h + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -684.508 and 1.08319918.\nAnswer: -683.42480082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - (0 - -13) - (185 + -214)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 53*-26.84615\nAnswer: -1422.84595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**2 - 13*k - 6. Let d be b(-7). Calculate the highest common factor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -3, y - 27 = -4*y - 3*i. Suppose 0 = -3*f + y. Suppose 4*j = 3*t, 0*j - 2 = -2*t + f*j. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 413 (base 10) to base 2.\nAnswer: 110011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**3 + 4*y**2 + 3*y - 3. Suppose 0 = -4*d + 9*d + 540. Let t(r) = r**2 + 9*r + 10. Let q be t(-7). Let c be q\/6*d\/(-24). What is h(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 165*p**3 + 5*p + 5800?\nAnswer: 495*p**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 2*c = 56. Calculate the greatest common divisor of 42 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/4 of a tonne in kilograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*((sqrt(70) - (sqrt(70) - (sqrt(70) - ((sqrt(70) - sqrt(70)*-1) + sqrt(70))*-5))) + sqrt(70) + sqrt(70)))\/(sqrt(30)\/sqrt(3)*4 + sqrt(40)*6))**2.\nAnswer: 567\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five halves of a millimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3043947.\nAnswer: 3, 1014649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k**5\/5 - 1714*k**4\/5 + 100524*k**3\/5 - 1549004*k**2\/5 + 2803282*k\/5 - 270618 = 0. What is k?\nAnswer: 1, 23, 37, 795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (99 + 856 - 329 + 2174)*(-y**3 + 2*y - 2*y)*(4 + 0 - 1).\nAnswer: -8400*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3880\/(-28)*(-210)\/300.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49*u - u**3 - 56*u - 33*u + 138*u.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 504 and 1134.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 235 is divided by 119?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 420*y = 417*y - 6. Suppose -3*d - 2*d + 3*k + 25 = 0, 0 = 4*d - 5*k - 33. Sort 4, -1, y, d in descending order.\nAnswer: 4, d, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 54 - -171. Let i = o - 1138\/5. Are -3\/7 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v + 3*v + 21 - 2*v + v. Suppose -5*h - 2*q = 7 + 25, h - 8 = -4*q. Let k be d(h). Solve 2*z - 3*m + k = 0, 4*m - 25 = -4*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*h - 29 = -5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (28\/(-140))\/(1\/2)*3625\/(-58)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -m**3 - 32*m**3 - 10*m**3 + (4*m + 2*m - 4*m)*(4*m**2 - 2*m**2 + 0*m**2).\nAnswer: -39*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 130 + -131. Let m(y) = -3. Let p(z) = -z + 4. Let u(s) = -4*m(s) - 3*p(s). Calculate u(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1046 divide 54385569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 21\/4 of a gram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/430048 and -33\/2848?\nAnswer: 430048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(11) - (sqrt(11) + 1 - sqrt(11))*5) + -2)**2.\nAnswer: -14*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-6)\/c**11)\/(c\/(c*c*c**3))**(-15) assuming c is positive.\nAnswer: c**(-77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 595 - 566. Let v(i) = i**2 + 1. Let x be v(2). Suppose 0 = -b - s + 323, 1607 = x*b + 2*s + s. What is the greatest common factor of b and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*a - 165 + 829. Let c = 96 - a. Suppose -2*w - 5*i + 77 = -8, -4*i = 4*w - 176. Calculate the remainder when w is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -7*t + 312. What is o(10)?\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17 - -52\/3. Let i = -2\/62239 - 497894\/560151. What is the second biggest value in i, -4, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 135539 or 135645?\nAnswer: 135539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 38 + 54 = 0. Suppose 3*b - s = 19. Let y = 0 + 14. Calculate the highest common factor of y and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2990 and 4810?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*b - 79 + 50 + 46.\nAnswer: -14*b + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -7*y**4 - 5370822*y**3 - 65823753 wrt y?\nAnswer: -28*y**3 - 16112466*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*f**5 - 2*f**5 + 2*f**5 + 2*f**5 + f**5 - 2*f**5 - 4*f**5 - 3*f**4 + 3*f**4 + (-3*f**4 + 3*f**4 - f**4)*(0*f + 3*f + 0*f).\nAnswer: -9*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1*(-102 + 2) + 2. Suppose f = 5*d - 2*d. Calculate the remainder when d is divided by 4*2\/(-12)*-18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -376  (b) 4  (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -121 and 13.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 751.077 milligrams to tonnes.\nAnswer: 0.000000751077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56 - ((12 - 19) + 2 + -23).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -275528 or -275458?\nAnswer: -275528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(3\/13)*j*((j\/(j*j**(-8)*j*j*j*j*j))\/j)\/j)\/(j**(-22)*j**(2\/37)) assuming j is positive.\nAnswer: j**(11629\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 4*v + 204 = 0. Let j(y) = y**2 - 4*y - 12. Let h be j(10). Suppose 4*f - c = 3*c + v, c - h = -4*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*f - 4*n + 28, 3161*f - 3165*f = 5*n - 33 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 480 = -2*o - 3*o + 2*x, -4*o - x - 384 = 0. Let q = 99 + o. Which is smaller: q or -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/6 - (-2)\/3. Suppose -3*n - y - 13 = -6*y, 5*y - 33 = -2*n. Suppose -c = -v + n. What is the highest common divisor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -991 - -427. Let j = r + 576. Solve j*a = 13*a + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:12 PM and 8:30 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in sixteen fifteenths of a century?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u**3\/6 + 4360219*u**2\/6 - 1584293204033*u\/2 + 1584291750627\/2 = 0.\nAnswer: 1, 2180109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2786498.7 months in centuries?\nAnswer: 2322.08225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the first derivative of -r**9\/756 + r**7\/210 + 7*r**3\/3 + 7. Let p(t) be the third derivative of k(t). Find f such that p(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 86*q**4 + 10816*q - 172*q**4 + 160*q**3 - 9255 + 1122*q**2 - 3306*q**2 + 82*q**4 + 467 = 0.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes after 1:25 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -125*f + 3*f**2 + 85*f + 68*f as s*f + j + n*f**2 and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 128 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 - 4*h**2 + h + 4. Let n(i) = -i**3 + 31*i**2 - 31*i + 34. Let c(m) = -m**3 + 18*m**2 + 2*m - 6. Let j be c(18). Let z be n(j). Calculate q(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a minute in seconds?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -23, 21, 1 in descending order.\nAnswer: 21, 1, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -bd (base 16) to base 15.\nAnswer: -c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -167408 divided by 1\nAnswer: -167408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -12859009 divided by 2?\nAnswer: -12859009\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 62 = -0*z - 5*z, 5 = z - 5*i. Let p be (z\/(-3))\/((-4)\/(-6)). Let o = 12 - p. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.18 - 0.33. Let s = -5.35 + c. Let r = -1.5 - s. Sort -5\/6, 2\/15, r in decreasing order.\nAnswer: r, 2\/15, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 15\/(-6822)*-9*8\/(-20). Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**3 + 13*q**2 - 4*q - 1. Suppose 0*x + 49 = 5*w - 4*x, 4*w - 38 = 2*x. Is n(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-67)\/469 - (-1 + 0 + 7890\/(-7)). What is the greatest common divisor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 - 3 + (-1 + 1 + 1)*(0 - 4 + 3))*((39 - 83 + 34)*(0*z**2 - 4*z**2 + 2*z**2) + 0*z**2 - 2*z + z**2 - 2*z**2 + (3*z - 2*z - 5*z)*(-3*z + z + z)).\nAnswer: -69*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5004540 and 4500.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**3 - 5*o**2 + 4*o - 20. Let n be y(-7). What is the highest common divisor of n and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = 4*s - 76. Suppose -3*z + 25 = 4*a, -2*a + 11 = s*z - 9*z. Let l(h) = -2*h - 6. Let i be l(-5). Solve 6 = -z*w - g, w = -w + 3*g - i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -4*v + 3*v. Let c(a) = 8*a + 1. Let m(t) = -t. Let h(w) = w - 20. Let b be h(6). Calculate b*m(i) + v*c(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 9 - 9 = 0. Let a(f) be the second derivative of 0 + 0*f**w + 0*f**2 + f + 1\/6*f**4. Let g(x) = x**2. Calculate a(g(s)).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 173\/4740 and -53\/469260.\nAnswer: 469260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 662356304 is divided by 393?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 484*r - 129. Let h(v) = 2*v**2 - 3*v + 6. What is the remainder when g(1) is divided by h(6)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * -10943\nAnswer: -1094.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/((-4)\/(-42)) + 754571\/29884.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -120.78 - -2.78. Let n = -118.0000146 - o. What is n rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 7*x**3 + x. Let t(q) be the second derivative of -q**3\/6 + 91*q. Give -a(g) - t(g).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 k when two letters picked without replacement from ogygqkrk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2088 + -14614\/7. What is the closest to a in -2, 0, -0.1, 1.65?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 69660390 divided by -13932078.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**3 - 294*m**2 - 18093*m + 141400.\nAnswer: -(m - 7)*(m + 101)*(m + 200)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -36*d**5 + 114*d**4 + 527*d**3\/4 - 961*d**2\/2.\nAnswer: -d**2*(d + 2)*(12*d - 31)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**3 - 10*h**2 + h + 14. Let j be q(-10). Suppose 4*y + j = 2*y. Let g = 4 + y. Solve -g = t + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49 - 41 = 2*a. Suppose 0 = c + a*h + 4109988, -9038548 - 11511446 = 5*c + 2*h. Round c to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 162*d - 180 = -153*d + 333*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*b, -6*d = -d + 2*b + 52194078. Let h = d + -361184. What is h rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -31.736 + 0.036. Let r = x - -29. Round r to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the third derivative of -3*q**2 + 0*q**3 + 0*q + 0*q**6 - 1\/210*q**7 + 0*q**4 + 0 - 1\/12*q**5. Find the third derivative of a(x) wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 4*h**2 + 26*h + 44. Let r be g(-2). Solve -5*a + 5*k - 20 = 10*k, -3*a = k + r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -279*n + 183. Suppose -34 = 3*d - 19. Let q(k) = 280*k - 176. Let r(j) = d*f(j) - 6*q(j). What is the derivative of r(i) wrt i?\nAnswer: -285","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z + 1. Let t be d(3). Suppose -2*f - 3 = 3. Let m = t - f. Sort m, -2, 5 in increasing order.\nAnswer: -2, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1489134 is divided by 89.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b - 172 = 506*f - 473*f, -4*b - 2*f + 208 = 0 for b.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 240967 + -132528. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (220\/66)\/((-4)\/(-6)). Suppose -v = b - 6 - 2, -g*b - 3*v = -46. Let a = 24 - 14. What is the smallest common multiple of b and a?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1666\/45  (b) 4\/5  (c) 2\/13  (d) 410\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 275 and 891?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 176 and 64?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**3 + 14*c**2 + 13*c - 12. Let i be r(-14). Let h = i + 197. Solve -h*t = -3*g + 15, -3*g + t + 4 + 3 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 137117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 83, 181, 281, 383, 487, 593?\n\"Answer: g**2 + 95*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8503846848.\nAnswer: 2, 3, 7, 127, 16607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 426634 (base 7) to base 16\nAnswer: 122a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Solve -26*p + 27*p - 2 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -2*b - 15 + 13 + 0*b. Calculate a(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-37444)\/120450 - 714\/78183\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17cb (base 15) to base 12.\nAnswer: -2b85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -3953\/13537?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 259012195 + -257604082.811. Let y = 1408052.1889949 - f. Let j = -60 - y. What is j rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 64, 125, 186, 247?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4511 = -82*h + 4429 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 26895940 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -27 - -43. Solve 5*s - 9 = z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-43)\/((-189)\/(-49) + -4). Suppose -4*m + 2*m + 637 = 3*u, -m - 5*u + h = 0. What are the prime factors of m?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -3*h - 3. Let q be r(-3). What is the third derivative of -9*m**2 + 4*m**6 - 4*m**6 + 3*m**q - 6*m**6 wrt m?\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -2*i + 6*i**3 - 680 - 3*i**2 + 678 - 5*i**3. Give g(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1*1*1\/(-7). What is the closest to -0.1 in 5, -0.3, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1be449 - 1?\nAnswer: -1be44a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*c - 24*c**3 + 50*c - 78*c - 18*c**3.\nAnswer: -42*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -315  (b) 3\/8  (c) -6  (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-f + 0 - 1 + 12*f)*(-114 + 104 - 26*f - 13*f) to t + m*f + y*f**2 and give y.\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - d)*(-3 + 0 + 0)*(1156 + d**3 - 1156).\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*d**2*o**2 + 204*d**2*o - 35*d*o**2 wrt o?\nAnswer: -4*d**2 - 70*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = 3*n - 6. Let j = n - -3. Suppose -2*u + q - 11 = 2, -3*q + 9 = 0. Put -2, u, j in ascending order.\nAnswer: u, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that -2*g**5\/11 + 1632*g**4\/11 - 296*g**3 - 4*g**2\/11 + 3258*g\/11 - 148 = 0.\nAnswer: -1, 1, 814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 20\/(-40) - 18\/(-4) - 2. Let q(v) be the first derivative of v + 0*v**3 + 0*v**p - 5 - 3\/4*v**4. Differentiate q(a) with respect to a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 736637152 * -0.4\nAnswer: -294654860.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 13230764 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2798 or 0.1?\nAnswer: -2798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 363\/15 + (-2)\/10. Suppose r + 0*r - 3 = 0. Let x = l - r. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 - 7)*((3*d**3 + 2*d**3 - 3*d**3)*(-4*d**2 + 2*d**2 + 3*d**2) - 4*d + 4*d - 3*d**5).\nAnswer: 6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 75, 292, 661, 1188, 1879, 2740?\n\"Answer: q**3 + 70*q**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 3*i**3 + 69*i**2 - 24*i + 18. Let f(b) = -b**3 + b**2 - b - 2. Let r(u) = -6*f(u) - v(u). What is the second derivative of r(y) wrt y?\nAnswer: 18*y - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 93694 to the power of 1\/2, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/(h\/(h*(h**(-2\/13)*h*h)\/h)))**(-29\/2))**(4\/9))**(-44) assuming h is positive.\nAnswer: h**(20416\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 334*y**3 - 193024*y**2 + 193024*y**2.\nAnswer: 334*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:40 AM and 11:02 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in -0.1, -0.5, 1\/14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 214038123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 115*v + 200 = -200 - 750 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**3 - 2*j**2 - 6*j - 1. Give n(5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -74, -339, -780, -1397, -2190, -3159, -4304?\n\"Answer: -88*g**2 - g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-11)\/6)\/(-11)*(-160)\/(-840)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 25770 and 876180?\nAnswer: 876180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**2 - 4*a + 4. Let v be n(2). Solve 5*t + 4*q - 11 + 5 = v, 0 = 2*t + q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 87 - 24. Solve 5*y + 16*y + j = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3*1)\/(9\/(-6)). Let a be 4 - ((22 - 14) + 1). Let j(r) = -9*r - 5. Let h(y) = -4*y - 2. Determine a*h(c) + z*j(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*s = -43186 + 42526 for s.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 121\/54 and -79\/308637?\nAnswer: 617274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000011934765 rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6632, -6634, -6636, -6638, -6640?\nAnswer: -6642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -6220*s + 8181. Give z(2).\nAnswer: -4259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -35, -45, -103, -239, -483, -865, -1415, -2163?\nAnswer: -3139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(275) + 0 + (sqrt(275) - 1*(sqrt(275)*-2 + sqrt(275))) + sqrt(275))**2*1.\nAnswer: -40*sqrt(11) + 4401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6.28000939 + 6.28. Round b to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 20, -82, -184, -286?\n\"Answer: -102*d + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + 8 = -3*f, 0 = 2*f - 67622*m + 67624*m - 28 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13 + 12 + 15 - 2048*i + 731*i + 1028*i**2 - 12 wrt i.\nAnswer: 2056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-306)\/(-10) + 15\/(-25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -495*f*i**3 + 11089*f*i**2 - 27*f*i - 4*f + 2*i**3 - 2*i**2 + 3*i - 1011 wrt i?\nAnswer: -2970*f*i + 22178*f + 12*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -28 or 1847.748?\nAnswer: 1847.748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 349\/39 + (64 - 73)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 83666761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/250710 and -89\/684?\nAnswer: 28580940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes before 1:20 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/11, -8\/11, -0.329, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.28853 to 2 decimal places.\nAnswer: 9.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 212*y = -211*y - 1, -6*j = -3*y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -85 < 257\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.023, -5, 32\/3 in increasing order.\nAnswer: -5, 0.023, 32\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1730 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.04015773634 to 4 dps.\nAnswer: 0.0402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-7))**(1\/9)\/(j**(2\/43)\/j**(5\/6)) assuming j is positive.\nAnswer: j**(7\/774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aabbaaab. What is prob of sequence bbaa?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*z + 2 - 2 - 86*z - z**3.\nAnswer: -z**3 - 58*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 38551329 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 5\/8 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 229.61 * 0.6\nAnswer: 137.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*q - 2*q - 3*q)*(0*q - 2*q + 10*q) + (6*q - q - 2*q)*(3*q - q - q) in the form n*q + h*q**2 + s and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 - -7. Calculate the remainder when 14 is divided by 0\/d - 2 - -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w + 5*z - 30, -4*z = -3*z - 4. Let n be (6\/(-9))\/(w\/24). Calculate the highest common divisor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5970, -7319, -8664, -10005, -11342, -12675, -14004?\nAnswer: -15329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0507090222 rounded to four decimal places?\nAnswer: 0.0507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 1 + 0 + 13*r - 14*r. Let g = -108 + 114. Let v(m) = -7*m**2 + 5 + m + g*m**2 - 9 + 3*m. Determine 6*a(x) + 2*v(x).\nAnswer: -2*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6240074, 6240082, 6240092, 6240104, 6240118, 6240134, 6240152?\nAnswer: 6240172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 5*c - 191, 4*b + 4*c + 20 = 272. Suppose b + 42 = 13*i. Suppose y + 301 = i*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q**4\/q))\/(q*q\/(q*q\/(q\/q**(-2))))*q\/(((q*q\/(q\/((q\/(q\/((q\/(q**(-6)\/q))\/q)))\/q)))\/q)\/q)*q*q**7)**(-9) assuming q is positive.\nAnswer: q**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 7*((-30)\/28)\/3*612\/153?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 58, 209, 468, 841, 1334, 1953?\n\"Answer: g**3 + 48*g**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -7298, -7300, -7302, -7304, -7306, -7308?\n\"Answer: -2*c - 7296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.061 and -1.4?\nAnswer: -0.0854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 3 = 5. Find the second derivative of 3*f**3 - 3*f + 5*f + 3*f**2 - 3*f**m wrt f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w**4 + w**2 + w**2 - w**2)*((2*w - 2*w + w)*(2 - 1 + 0) - 39*w + 57 - 57 + 3 - 4*w - 3 + 0*w + 5*w - 3*w - 5*w + 2*w + 2*w).\nAnswer: -123*w**5 - 41*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the second derivative of 1\/2*h**4 + 11\/3*h**3 - 4*h**2 - 6*h + 0. Let w(j) = 0. What is j?\nAnswer: -4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 122572 divided by -30643?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2599411 is divided by 433223?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69*q - 8 = -73*q. Suppose 2*u - 20 = -5*j, 3*u = -2 + 17. What is the third derivative of -p**6 + q*p**j + p**2 - 8*p**5 + 8*p**5 wrt p?\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, x: 2, m: 9}. Give prob of picking 2 g.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the first derivative of 9*a**4\/2 + 2*a + 7. Differentiate z(w) with respect to w.\nAnswer: 54*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -2*r**3 - 14*r**2 - 30*r - 24. What is h(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 - j + 5)*(36*j + 3*j**2 - 36*j) as c*j + b*j**2 + k + l*j**3 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 + 2. Suppose 3 + 7 = l*f. Let z(m) = -m**2 + 7*m + 3. What is the remainder when z(f) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.66222 to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/13, 1\/2, -3\/2, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 4, r: 1, v: 5, c: 3, n: 1}. Give prob of picking 1 c and 1 v.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g + 2*g + g)*(2*g + 0 + 0)*(4*g**3 + 9*g**3 - 4*g**3 + (-g - 4*g + 4*g)*(1 + 3*g**2 - 1) + (-3*g + 3*g - 6*g**3)*(-5 + 3 + 5)).\nAnswer: -96*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (1370\/116450)\/((-1)\/(-10))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -13*p**2 + 8\/3*p**3 + 56\/3*p - 1\/6*p**4 - 49\/6 = 0?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.02 in 0, 7, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 9, 53, 83, 93, 77, 29, -57?\n\"Answer: -a**3 - a**2 + 54*a - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**3 - 6*m**2 + 7*m - 2. Suppose -2*s = -5*g + 27, 2*g + 0*g + 4*s = 6. Give i(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p - 4. Let c be h(-4). Let s(j) = -j**3 - 7*j**2 + 9*j + 9. Let o be s(c). Is (o\/2)\/(2\/140) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -69 divided by 23.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 13*g**2 + 986*g + 1139. Determine h(-75).\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -84  (b) -1  (c) -0.51  (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 241 - 222. Suppose y - l = -k, 2*k - 30 - 13 = -3*y. What is the remainder when k is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -17 in -2\/5, -5, 0.5, -93\/53?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -220462 and -0.019?\nAnswer: 220461.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 732939?\nAnswer: 3, 244313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -136 divided by -583?\nAnswer: 136\/583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 1 p when three letters picked without replacement from {p: 5, a: 11}.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 - 88?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 130 or 125?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 15934, 15970, 16006, 16042, 16078, 16114?\n\"Answer: 36*b + 15898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -18126990 divided by -6255?\nAnswer: 2898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 62 + -60. Which is the third smallest value?  (a) 1\/4  (b) -3\/7  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -110 = -4*z + 4*d + 14, -37 = -z + 3*d for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*b**2*j**3 + 367*b**2*j**2 - b**2*j - 159*j wrt j?\nAnswer: -18*b**2*j + 734*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3704252 and 926063?\nAnswer: 3704252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 76\/(-90)*(-3)\/4. Let n = -3\/10 + c. Let k = -0.254 - -0.154. Sort n, 2\/3, k.\nAnswer: k, n, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -4*u - 8. Suppose -2*m = -m + 13. Let r be v(m). Let k = 46 - r. Solve -3*b = -2*b - f + 1, -b - 5 = -k*f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7990987.\nAnswer: 47, 170021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -3*j - 10. Let r be d(-8). Let a be r\/(-63) + (-1235)\/(-9). Suppose 2*t - 3*i = a + 160, 0 = -5*t - 4*i + 731. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 6*g + 55 = 5*q, 5*g - 55 = 4*q. Let j(f) = 6*f**2 - 7*f + 18. Let h(z) = 7*z**2 - 6*z + 19. Let x(n) = 5*h(n) - 6*j(n). Determine x(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (26 - (15 - 10)) + -12\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(57) + (sqrt(57) - sqrt(114)\/sqrt(2)) + sqrt(57))\/sqrt(3) + 4 + 2*-5*(sqrt(19) - sqrt(57)\/sqrt(3))**2.\nAnswer: 4 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 3 + 23. Let b = m + 107. Suppose k - b = 176. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000010531 rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhhnhhhhnhh. What is prob of sequence hhh?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6, -14, -22, -24, -14, 14, 66?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -151 divided by 15\nAnswer: -151\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) -13959  (b) -1\/6  (c) 0.06  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3346 = 5*l - m, 175*l - 177*l + 1344 = m. Calculate the smallest common multiple of 603 and l.\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -269 in 2\/37, 1, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 4 - 1)*(3*f**2 - f**2 - 3*f**2) + 7*f**2 + 0*f + 0*f as c*f**2 + s + b*f and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 603390393.\nAnswer: 3, 2113, 31729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1367 - 1367.1222. Round n to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.19 in -3\/7, -3, 1, 0.2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -5\/9, 38025, -3 in decreasing order.\nAnswer: 38025, -5\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*v = -0*v + 2835. What are the prime factors of v?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1383337 - 2330*v**3 - 1383337.\nAnswer: -2330*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from euwwuawae. Give prob of sequence eu.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.49887754 to 4 decimal places.\nAnswer: 3.4989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**2 - 1. Let o be ((-6)\/60 - 4\/10)*6. Let p be 29 - 26 - (1 - o). Let u(d) = -5*d**2 + d - 4. Determine p*u(l) + 3*w(l).\nAnswer: 2*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 27*n - n - 52 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*i - 7*i**2 + 7*i**2 - 22*i**2 - 31*i**2.\nAnswer: -53*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 33 + -12474?\nAnswer: -12441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 28 and 462?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 times 205.564\nAnswer: -20.5564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 48\/5 of a meter?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 316*l**4 + 12*l**2 + 13?\nAnswer: 7584*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 55 by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6 take away 2990767?\nAnswer: -2990766.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 372127690 to the nearest 10000.\nAnswer: 372130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.059595 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-40)\/12 - 4\/6. Let u = p - -1. Let q(y) = 3*y + 4. Let k be q(u). What is the third biggest value in 4, -0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 59239082.5 to the nearest ten thousand.\nAnswer: 59240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 - -38. Let y = n - 78. Let i = -445\/12 - y. Put 4, i, -0.4 in decreasing order.\nAnswer: 4, i, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 7\/((3 + (-29)\/10)*-1). Let p = z + -208. Round p to the nearest 10.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**3 + 7*f**2 - 8*f + 7. Suppose 25*b - 77 = 14*b. Calculate m(b).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/d**0)**(-2\/11)\/(d\/d**5*d**9)*(d**(-2)*d\/d**(-3\/5))\/(d\/(d*(d*d**(2\/7)\/d)\/d))**(-2) assuming d is positive.\nAnswer: d**(-1669\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6967387 by 10.\nAnswer: -6967387\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 2*f**2. Let q(n) = 5075*n**2 - 1. What is w(q(j))?\nAnswer: 51511250*j**4 - 20300*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.11?  (a) -1\/4  (b) 1\/3  (c) 0.27  (d) 144\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/91 + (-3 - -3)*(-2 - -3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/80111  (b) -7\/5  (c) -0.2  (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/(-49)*5\/(1475\/35).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes before 2:32 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 38992*b**3*g**3 - 132*b**3*g**2 - b**2*g**2 - b**2*g + 49*b - 2263*g**3 + 7*g + 52 wrt g?\nAnswer: 233952*b**3 - 13578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 523 is divided by 137?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((sqrt(14) - sqrt(126)\/sqrt(9))\/sqrt(2))**2 + (1 + sqrt(7))*3 + -4.\nAnswer: -4 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**3 + 15*v**2 - 13*v - 9. Determine g(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -105.2*2.\nAnswer: -210.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-6*(sqrt(192)*2*2*5 + -1*(sqrt(192) + sqrt(192)*1) + -1)**2 + -4).\nAnswer: -3456*sqrt(3) + 746516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**2 + 1. Let k(o) = -8*o**3 + 6*o**2 - 4*o - 13. Let h(s) = 6*j(s) + k(s). Does 17 divide h(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-52 - -39 - 12) + 75 + 4.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 1942072300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is d in 64\/7 - 2\/7*d**2 + 4*d = 0?\nAnswer: -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6\/8)\/(99\/6072). Solve 0 = -12*f + r - 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -33 + -6 + 20 + 2 + 111 + -13.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((sqrt(931)*-3 - sqrt(931))*-5 + 0))**2.\nAnswer: 3351600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/11)\/(u\/(((u\/(u\/(u**(2\/3)*u)))\/u)\/u)))\/(u**12\/(u\/(u*u\/(u*u**1)*u))) assuming u is positive.\nAnswer: u**(-446\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 907130 is divided by 776.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the second derivative of q**4\/12 + 7*q**3\/6 - 5*q**2\/2 + q. Suppose 0 = -0*p - p - 7. Let y be t(p). What is the nearest to -1 in y, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-546)\/910)\/((-12)\/(-5)))\/(35\/(-14))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 13158 = -3*r, -2*t = 4*r - 4*t - 17562. Suppose -5*o + r = 699. Let h be (3\/(-1))\/(o\/12). Is h >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 442 - 0?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-3 - 3 + 0)*(-22 + 74 - 24)*(1 - 3 + 1) + 2 - 4 + 0)*(2*m**3 + 2*m**3 + m**3) in the form y*m + g + n*m**3 + l*m**2 and give n.\nAnswer: 830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -2*u**2 - u + 4649. Let l be r(0). Let f = l - -660. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(2\/9))**(-4\/13)\/(g**(-11)*g**(-1\/15)) assuming g is positive.\nAnswer: g**(6434\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -974533.3 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 63 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -477 + 480. Suppose 225 = g*c - 3*u, -4*c + u + 2*u + 296 = 0. Calculate the remainder when 98 is divided by c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**2 - 31*u + 8687. Determine z(79).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 5, -16, -49, -94?\n\"Answer: -6*b**2 - 3*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 30176?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**4 - 4829*k**3 + 5817723*k**2 + 29190109*k + 23367556.\nAnswer: (k - 2417)**2*(k + 1)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uqqqccc. Give prob of sequence cu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*i\/i**23)\/i)\/i**8)**28 assuming i is positive.\nAnswer: i**(-840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a*a*a**2))**(1\/19) assuming a is positive.\nAnswer: a**(-3\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1250799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -2  (b) -5\/12  (c) 5  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i - 5*i + 5*i - i + 5*i - i + (-2*i - 4*i + 7*i)*(0 + 0 + 2) + 2*i - 2 + 2.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**3 - 16*a**2 - 20*a + 54. Suppose j - 17 = 4*y, 3*y = 3*j - 2*y - 51. Let p be r(j). Sort -3, p, -5, 1 in ascending order.\nAnswer: -5, -3, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -22*h**3 + 11*h**2 - 14*h - 1. Let a(y) = 15*y**3 - 7*y**2 + 9*y + 1. Let r(t) = 7*a(t) + 5*x(t). What is the second derivative of r(z) wrt z?\nAnswer: -30*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(2448) - (5 + sqrt(2448)))*4 - (-2*sqrt(1700) + 2 - sqrt(1700) - (sqrt(1700) + 0 + 0 + sqrt(1700)))**2.\nAnswer: -42528 + 200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x = -2*x + 10. Let l be -8*-2*x\/(-8). Put -5, -2, l in decreasing order.\nAnswer: l, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -7 + z**3 - 1 - 6*z**4 + 7 wrt z?\nAnswer: -24*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the first derivative of -1\/2*g**2 - 1 - 2*g. Let r(l) = -1. Calculate -2*h(v) + 4*r(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1350 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: In base 14, what is 1 - c043?\nAnswer: -c042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - ((-7 - (-5 - -2)) + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**2 - 4579524*o + 73271360.\nAnswer: 4*(o - 1144865)*(o - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8.3 + -8. Let u be (-3)\/2 - 165\/(-102). Sort u, y, 2.\nAnswer: u, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1609807260 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -730*r - 2189. Give x(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 0*v**2 - 12*v**2 - 3*v**2 + 2*v**2. Let l(o) = 2*o**2. Determine l(y(x)).\nAnswer: 338*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 76341666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 2 = f. Let r(u) = 4 - u - f + 3*u. Suppose -4*s = -0*s + 12. Determine r(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10 and 722.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3220172 and 13676?\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -3 times -12.78428\nAnswer: 38.35284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-f + 2*f - 2*f)*((-5 + 2 + 2)*(1 - 4 + 1) + 26 - 8 + 22) to z*f + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1752 = -194*y + 48*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -38034.41062 minus -11836?\nAnswer: -26198.41062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/4*(-4 - 0). Let t be 69\/21 + 2\/(-7). Suppose -i*o = 6, 4*x + t*o - 51 = x. What is the remainder when x is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 135807318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (5 - -5 - (8 + -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ry when two letters picked without replacement from eyjereeezrrrrer?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + 0. Let t(r) = 156*r + 3 + 1 - 80*r - 77*r + 2*r**2. Let n be t(x). Let b(s) = s**3 + 2*s + 2. Let p(z) = 3*z**3 + 5*z + 5. What is n*p(u) - 10*b(u)?\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -545 (base 6) to base 8\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 71432104*i**3 + 138*i**2 - 168730*i - 3?\nAnswer: 428592624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 355483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (17 - 1111\/66)\/((-1)\/(-36)). Is m less than or equal to 29\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1320 and 4320.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-3)\/(-78))\/((-8)\/(-32)). Let l = -0.27 - 1.83. Let g = -0.1 - l. Put -0.1, a, g in decreasing order.\nAnswer: g, a, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 341 (base 9) to base 12.\nAnswer: 1b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 668027.3 millilitres to litres.\nAnswer: 668.0273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/130 and -3\/169?\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 281 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 52.41 - 54. Let x = t - -1.5979. What is x rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1477  (b) -1\/2  (c) 610  (d) -0.1  (e) -2\/7  (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6651832 to the nearest integer?\nAnswer: 2579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 171 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2274 divided by 2?\nAnswer: -1137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -11006, -11005, -11004?\n\"Answer: b - 11007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 0, -24, -70, -144, -252, -400, -594?\nAnswer: -840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 18 = 0, 4*c = 2*v + 3*v + 7 - 23. Let p be (0 + -1)\/((-1)\/(-3)). Sort p, -18, 1, v in descending order.\nAnswer: 1, p, v, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -257 + 319. Differentiate -3*k - 113 - d*k - 8*k with respect to k.\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2004928*g - 2*g**3 - 224 - 2004928*g - 227*g**2 with respect to g.\nAnswer: -6*g**2 - 454*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 11 - (-8)\/(-4) - 4. Calculate the highest common factor of p and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1829418301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 3802, 3807, 3814, 3823, 3834, 3847?\n\"Answer: i**2 + 2*i + 3799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 13) to base 3.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 27 and 4627110?\nAnswer: 41643990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 268154 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 253669 and 42107?\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 21 + -117. Let t be (320\/d)\/((-1)\/6). Solve -t = -11*i + 6*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/(-24) - (-8)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(143) + sqrt(143)*2)*-6)\/(-5*1*sqrt(44)).\nAnswer: 27*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 20 = -3*f, -4*o + 14 - 50 = -5*f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 2)*(-2*p**2 - 3*p**2 - 18*p**2)*(p**2 - p**2 - 2*p**2).\nAnswer: 46*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 = 2*u + 3*g, 0 = 4*u - 5*u + g + 21. Let b = u - 16. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -r**3 - 3*r**2 + 283*r + 12851 wrt r.\nAnswer: -3*r**2 - 6*r + 283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -76 (base 15) to base 10.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 17.8, 3, 4 in descending order.\nAnswer: 17.8, 4, 3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24 and 169059.\nAnswer: 1352472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*h**3 - 11*h**3 - 7*h**3 + 28*h**3 + 1 + 1724*h.\nAnswer: -2*h**3 + 1724*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + (-122 - -228) - 75.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6406391 to the power of 1\/2, to the nearest integer?\nAnswer: 2531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -5160 times 0.2\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 2*o - 15. Suppose 5*h + 20 = 80. Let w be v(h). Is 8 a factor of (-30)\/w*(-24)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes after 7:03 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l\/((l\/(l*l\/(l*l**12\/l*l)))\/l))\/(l**18\/l))\/(l**27*l\/(l\/(l*l*l*l\/(l*l\/l**(-2\/39)*l)*l))*l) assuming l is positive.\nAnswer: l**(-2182\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of q**3*w**2 - 4*q**3 + 1873473*q**2*w**2 - 6*q**2*w - 21*q**2 - 56*q - 2*w wrt w.\nAnswer: 2*q**3 + 3746946*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -21 + -5?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 13*d**2 - 5996578*d = 0.\nAnswer: 0, 5996578\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n + 5 - 23. Calculate the greatest common factor of 36 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -391*c**5 + 2*c**3 - 1752*c + 472*c**5 - 546*c**5 wrt c.\nAnswer: -9300*c**3 + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 5:53 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) -16  (c) 0.96  (d) 14\/3751\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1551268 is divided by 1264?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 34*k**3 - 2*k**2 + 1. Calculate d(-1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((43 - 21) + -7 - 7) + 39.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3\/2 + 138*u**2 + 29283*u\/2 - 4586081.\nAnswer: -(u - 227)**2*(u + 178)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1010 a factor of 74875146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 33 - 60 + 25 + 8*y + (4 + 3 - 4)*(-3 - y + 3).\nAnswer: 5*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the second derivative of l**4\/12 + l. Let w(c) be the third derivative of -1\/12*c**4 + 0*c + 0 + 0*c**3 + 6*c**2. Give x(w(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Do -11666568 and -8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b**(-6))\/b)\/b**(1\/5))**(-13) assuming b is positive.\nAnswer: b**(403\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 55349.\nAnswer: 7, 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the second derivative of -z**5\/20 - 5*z**4\/12 - z**3\/2 - z**2 - 5*z. Is l(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d + d + 6. Suppose d*n - 4*v = 5*n + 16, 0 = -4*n + 2*v + 18. Suppose n = 2*p - 12. What is the remainder when 19 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 511739 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/4*1 - 814\/1184. Let y(l) be the first derivative of 0*l - 3\/4*l**2 - 7\/12*l**3 - 22 - g*l**4. Factor y(t).\nAnswer: -t*(t + 1)*(t + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 304431270?\nAnswer: 2, 3, 5, 11, 13, 29, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -58*i**2 + 88 - 137 + 50.\nAnswer: -58*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -321, -474, -729, -1086, -1545, -2106?\nAnswer: -2769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 216*z - 167*z = 49. What is the nearest to 1 in -3, -4, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8 - 10. Let j be ((2\/1)\/v)\/1. Let o(n) = 5211*n + 5207*n - 10413*n. What is o(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes before 10:14 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1044 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*b - 3*b**2 - 47*b - 11*b + 31*b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -147.5032 + 0.5.\nAnswer: -147.0032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.786976mm in micrometers?\nAnswer: 4786.976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2229927881 and 3397.\nAnswer: -2229924484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 5*h. Let d(u) = -2472340*u**2 - 53970*u + 15420. Let c(m) = 1283*m**2 + 28*m - 8. Let i(k) = 3855*c(k) + 2*d(k). What is i(b(y))?\nAnswer: 32125*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7*b**4*s - b**2*s + 3*b*s + 10*s with respect to b.\nAnswer: 28*b**3*s - 2*b*s + 3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2270.\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -12 in -2\/13, 2\/5, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**3 + 52*v**2 - 56*v + 259. Calculate g(51).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3612 - -2043. Let v = s + 721. Let u = 552 - v. What is u rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -213442012 - -11?\nAnswer: -213442001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -53, -1199, -2345?\n\"Answer: -1146*h + 1093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - 6*r - 15. Let z = 3613\/4 + -906. Which is bigger: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 18 + -68. Let x = -2 - d. Calculate the greatest common factor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2237251229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and 190644?\nAnswer: 953220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (596 + 1)*(-1216)\/(-48). Let c = s + -408415\/27. Calculate the common denominator of c and 89\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fjkjjjjfjjfffkjjjjj. What is prob of sequence fkf?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o - 2. Suppose 2*t + 3*s = 29, -3*t - 7*s = -2*s - 43. Suppose -5*p = -1 + t. Give c(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 130995078407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11 + 27. Let u = -3 + g. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 213 and 837.\nAnswer: 59427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ysyssyyvsssv. Give prob of sequence yyv.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -64 + 89. Suppose -5*f - w = -10. Let a(t) be the third derivative of -t**6\/120 - t**5\/15 - t**4\/8 - 2*t**3\/3 - 10*t**2. Calculate a(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 549862?\nAnswer: 2, 274931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the third derivative of -q**6\/180 + q**4\/24 + q**3\/2 + 7*q**2. Let f(l) be the first derivative of j(l). Calculate f(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*a - 30*a + 13*a + 11*a.\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 2*o + 3*z = -561, 4*z - 177 = -o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(17) + 4 + sqrt(17))*1.\nAnswer: 4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-95071*v - 911*v**2 + 95071*v)*(4 + 4 + 16).\nAnswer: -21864*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-32)\/40*(35 + 29150\/(-836))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80*v + 90846 = 120*v + 109*v. Solve 11*k = 228 - v for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(1\/5)\/h**(2\/29)*(h\/(h**(-1\/15)*h))**(-50) assuming h is positive.\nAnswer: h**(-1393\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1248\/(-435) - (1168\/(-116) + 10).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -0.11 times 2.641\nAnswer: -0.29051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4637291?\nAnswer: 269, 17239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -41 + -130. Let q = z + 152. Is q greater than -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g**(-1)\/g*g*g))**(3\/2))**42*((g\/(g*g*g**(-1)))**(6\/5))**(-19) assuming g is positive.\nAnswer: g**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 715744590 less than 715744590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((-3*(sqrt(684) + -1) - sqrt(684)) + ((-1*sqrt(684)*4)**2 - sqrt(684)) + 4)*-5.\nAnswer: -54751 + 150*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**2 + 49*n + 31. Let z be t(49). Let i be (34\/(-36) - (z + -32))*4. What is the second smallest value in -4, i, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (558225\/(-12))\/(6\/32). What is c rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 157061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*73822\nAnswer: 7382.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 758923 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p - 1. Let j(y) = -13*y + 41*y - 12*y - 17*y. Let w be 1\/(-3) - 8\/(-6). Suppose -4*b = -2*u - 2, -2*b + 5*b - 4*u = -6. Give b*j(d) + w*r(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g = 11*b - 39, 2*b + 390 - 394 = -g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -77 + 76. Let j be (a - 0)\/(5\/(-10)). Suppose 0 = j*v - 4*h + 10, -6 = -4*v + v - h. What is the nearest to v in -0.2, 3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -234.81332 - 0.18668. Which is bigger: -0.049 or g?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -21d3b0b3 - -4?\nAnswer: -21d3b0af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 396 and 450.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5199 - 60949\/12. Let z = v - 120. What is the common denominator of 47\/12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l**5 - 5320*l**4 + 2044548*l**3 - 244917952*l**2 + 483723520*l - 240844800 = 0. Calculate l.\nAnswer: 1, 280, 768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 139831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 44277 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 125\/1092 and 79\/183928992.\nAnswer: 1287502944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1216310525?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -123 - y - 436*y**4 + 26*y**4 + 38 - 501 - 138 wrt y?\nAnswer: -1640*y**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/(-18)*(-1)\/((-13)\/(65\/40))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 52 - -17. Suppose -219 + g = -3*k. Suppose -k = -5*j + z, -4*j + 0*z + z + 39 = 0. What is the remainder when j is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22212022 - -1222112?\nAnswer: -20212210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -a + 2*a. Suppose 4*g - 9 = -d, -3*g + d + a = -7. Suppose 5*x + 5*j = -15, 3 = -g*x + j - 6*j. Let s(y) = y**3 + 5*y**2 - 6*y + 6. Give s(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 126 + -67. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 116 = 7*t - 12*t, 3*t - 3*k - 60 = 0. What is the hundreds digit of 0 + (-6)\/33 - (-3986)\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 130421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 24.14584mg?\nAnswer: 24145840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the third derivative of 0*x**4 + 0 + 0*x + 0*x**3 + 9\/70*x**7 + 1\/5*x**5 + 1\/2*x**6 + 7*x**2. Factor w(g).\nAnswer: 3*g**2*(g + 2)*(9*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 1634969*q - 4904884*q + 2 + 1634961*q + 1634955*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -264 = d - 2*d. Suppose -2*u = -4*n + 2*u + 32, 4*n - 2*u - 24 = 0. Suppose n*k - d = k. Is k a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 103048582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -62 + -14?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*p**4\/7 - 7488820*p**3\/7 - 3505147817604*p**2\/7 + 500738612012*p + 1001472944696 = 0. What is p?\nAnswer: -936103, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 92?  (a) -15  (b) 14  (c) -2\/7  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from {r: 2, h: 1, t: 1, m: 1, n: 2, p: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2103200 + 4?\nAnswer: 2103204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**2 + 11*s - 67. Determine f(14).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*i = 4*s - 35, -114936*i - s + 110 = -114934*i + 4*s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = -4*o - z, 2*o - 269*z - 13 = -266*z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-23)\/((-2)\/60*3). Suppose 3*c = -29 + b. List the prime factors of c.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -895, -872, -845, -814, -779, -740, -697?\nAnswer: -650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*v - 17*v = -27456. List the prime factors of v.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*z + 5 + 3 = 0. Let v be -1*(1 + -3)*(0 + z). Solve -4*i - v = -5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**2\/((r\/r**(1\/4))\/r) assuming r is positive.\nAnswer: r**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 380\/30*-1*(11 + -8)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**2 - 108*n + 1338. What is the remainder when 3606 is divided by j(14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 4*z - 20. Let b be 26\/z*(-1 - -4). Solve -b = 4*v + 3*f + 2, -4*v - f = 13 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001411 rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, h: 19}. Give prob of sequence hh.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/(0 + 9\/(-12)). Let s = y - 4. What is the third derivative of -4 + 4 + o**s - 2*o**2 wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 2*c. Suppose -5*m + m = -8. Let j(i) = 4*i**2 + 2*i**2 - 2*i**m. What is f(j(z))?\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -88*l + 47*l + 46*l. Let z(g) = 4*g**2. Determine z(k(u)).\nAnswer: 100*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14.81 + 9.81. What is the fourth smallest value in 2, -2.1, a, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*b**6*b)*b**4*b\/(b*b\/b**(2\/5))*b**(2\/5))**(-4) assuming b is positive.\nAnswer: b**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -237*y + 239*y = 2*d + 20, 2*d + 44 - 6 = 8*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*c**2 - c**2 - 3*c**2)*(1 - 1 + 2*c**2) + (3*c - c - 4*c)*(-75*c**3 - 25*c**3 + 32*c**3) to s*c + o*c**4 + l*c**3 + b*c**2 + v and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 204 - 598\/3. Let k = y + -53\/12. Which is the smallest value?  (a) 0.3  (b) 0.7  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(-7)\/49*(1 + -4).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*t - t - 2*t + (0*t - 2*t + t)*((-5 - 1 + 1)*(-1 - 2 + 9) - 4 + 3 + 2).\nAnswer: 31*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/(-21))\/((-68)\/238).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(459))\/sqrt(972).\nAnswer: 5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.14 + -0.24. Let b = -0.1 - -0.1. Is b greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.01401 less than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 37, -4 in descending order.\nAnswer: 37, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -67*z**2 - 108*z + 87*z**2 - 2*z**4 + 138*z**2 - 48*z**3.\nAnswer: -2*z*(z - 2)*(z - 1)*(z + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -17*i*u**4 + 21176*i*u**3 - i*u**2 + 783575*i*u - 9*i + 4*u**4 - 3*u**2 + 3*u wrt u.\nAnswer: -408*i*u + 127056*i + 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 8, b: 2, k: 2, r: 6}. What is prob of picking 1 g and 1 r?\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/(-1 - 0) + 65. Let y = d - 46. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*g = 4*g + 16 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 - -9)*577\/2. Suppose 3992 + o = -s. What is s rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 507880?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*s**2 - s**2 - 281*s + 563*s - 282*s.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1459671.\nAnswer: 3, 17, 28621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 2*z + 1. Let o be n(2). Suppose o*l - 25 = 60. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*y**3 - 370*y**2 + 4520*y + 62400.\nAnswer: 5*(y - 52)*(y - 30)*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 34 - 35. Let l(v) = -67*v**3 + 2*v + 1. What is the tens digit of l(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10050847409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -49660*x**3 + 5*x**2 + 9764614 wrt x.\nAnswer: -148980*x**2 + 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**3 - 4*d**2 - 6*d + 7. Let p be n(5). Let x = 2 - p. Suppose 3*t - 8 = g, -3*t = -0*g - 4*g - 14. Solve x = -b + 4*b - 12, -4 = -m - t*b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -21*h + 6359. Let s(u) = -111*u. What is d(s(w))?\nAnswer: 2331*w + 6359","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 4 + (3*(sqrt(76) + (sqrt(76) - (-2 + sqrt(76)))*-3 + sqrt(76)))**2*-5.\nAnswer: -15298 + 2160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r + 2 - 2)*(-6*r**3 + 3*r**3 + 4*r**3) + 0*r**4 - 7*r**4 - 2*r**4 - 16*r**3 - 1 + 2*r**4 + 16*r**3.\nAnswer: -5*r**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 - 11*k**2 - 12*k - 7. Let q be j(12). Let i be 1\/(1\/(-12))*q\/14. Suppose -i*h + 465 = -h. List the prime factors of h.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -16  (b) -0.4  (c) -3  (d) -2\/183  (e) -2\/331\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101 (base 3) to base 9.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -119*z + 357. Let l be q(3). Let p(d) be the third derivative of 0 + 0*d**3 + 1\/45*d**5 + l*d + 2\/9*d**4 + 8*d**2. Factor p(u).\nAnswer: 4*u*(u + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(75) + 3 + 3*sqrt(75) - (-3*(sqrt(75) - (3*sqrt(75) - sqrt(75))) + sqrt(75)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.2 + 6.2. Let l = -2 + m. Let q = 3 - 2.5. Which is the nearest to 1?  (a) q  (b) -0.3  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the second derivative of -3*q**3\/2 + 7*q**2\/2 + 22*q. Let s(l) = -4*l + 3. Determine 3*i(p) - 7*s(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1190 is divided by 295.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand y**3 + 3*y**3 - y**3 + (3 + 2*y - 3)*(-2*y**2 + y**2 + 2*y**2 - 1).\nAnswer: 5*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -275*n - 291*n - 26 = -592*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -4*w - 180, -4*q = -q + w - 527. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -5*(-2 + -7)\/9. Solve -3*q = -5*q - 5*f + k, 3*q = f - 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*n - 4*v - 1240 + 1231, -4*v = -5*n + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3960\/1512*39\/143.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 19*k - 13 + 8.\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2766920?\nAnswer: 2, 5, 13, 17, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -765794 - 605610 = -167*p. What is the thousands digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 343517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**3 - 8*u**2 - 10*u - 17. Let o be l(-7). Suppose o*f = 9*f - 210. What is the highest common factor of 28 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 3*w + 7 - 6*w + 7*w**2 + 6*w**3 + 12*w - 2*w. Let k(p) = 4*p**3 - 5*p + 0 + 5*p**2 + 5 + 10*p. What is 5*h(n) - 7*k(n)?\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 30 + -9. Let v(n) = 2*n**2 + 2547*n + 15215. Let s be v(-6). Solve m = s*r + 2*a, r - 5*r + 2*a = -24 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 6*i - 7. Determine o(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p = -4*l - 182, 2*l + 5*p = 363 + 361 - 830 for l.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z**10\/z)*z)\/((z\/(z*z*z**(-42)*z))\/z*z))**(3\/20) assuming z is positive.\nAnswer: z**(-141\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1110.9 + -2071.2. What is n rounded to the nearest 10?\nAnswer: -960","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 6207.326 nanometers?\nAnswer: 0.000006207326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/(-14) + (-33)\/(-21). Solve -j*o - 4 - 6 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1714, -2, -4, 368 in ascending order.\nAnswer: -1714, -4, -2, 368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one twentieth of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 5*h - 3*n + 31, 5*h - 3*n + 27 = 0. Let y = -1 - h. Suppose 110*j - 114*j - 4*u + 20 = 0, -15 = -2*j - 3*u. Solve -y*m - 3*m - 20 = j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -33, -70, -109, -132, -121?\n\"Answer: 3*o**3 - 19*o**2 - o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rikk when four letters picked without replacement from {v: 2, t: 1, r: 1, k: 4, i: 3, w: 4}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36809 is divided by 715?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 114*l = 5601 - 3549 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 104*c**5 + c**4 + 1308*c + 1 wrt c?\nAnswer: 2080*c**3 + 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1233616834 to the nearest integer?\nAnswer: 35123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:51 PM and 9:33 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -9*t - 4. Let o(p) = -26*p - 12. What is 4*o(h) - 11*w(h)?\nAnswer: -5*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lcxlqx. What is prob of sequence lxx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.22853824309 to two dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q - 46 = 5*u, 36 - 134 = 11*u + 5*q for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f - 3*f - 2*f)*(-4 + 5 + 0) - 190*f + 1125*f - 402*f - 90*f.\nAnswer: 439*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the second derivative of -q**5\/30 + q**3\/2 + q. Let k(c) be the second derivative of z(c). Give k(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4 + 2 + ((-12)\/2)\/(-2). Which is the biggest value?  (a) s  (b) -3\/4  (c) -3  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f - 6 + 6)*(-f + 3 - 3) - f**2 + 3*f**2 + 0*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -12*g**3 - 6*g**2 + 7*g - 9. Let p be d(5). Let j be (p\/(-12) - 2)*8475. What is j rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 2*g**2 - 10*g - 16. Is r(-5) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gzx when three letters picked without replacement from {g: 3, h: 2, a: 1, x: 4, z: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/25, 1, -2\/7, -3, 1\/4?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.3923 and 539772?\nAnswer: 539771.6077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3 - 51247*v**2 - 205000*v - 205004.\nAnswer: (v - 51251)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -1 + 6. Suppose -10 = -a + 2*w, g*a + 3*w = -1 - 1. What is the third derivative of 12*z**2 + 2*z**4 - 2*z**a + z - z wrt z?\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the second derivative of 6*k - 2\/3*k**4 + 0 - 2*k**3 + 0*k**2. What is the second derivative of o(y) wrt y?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 167468 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1131 divided by 35166.\nAnswer: -377\/11722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-7)\/((-3)\/(1 - -2)). Let w = 2 + r. Suppose -w = -4*a + 203. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:30 PM and 1:52 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2224 by -2.\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 101500.37845 - 101510.918450621. Let k = -10.54 - l. What is k rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of -76*-1*58\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -4*k**3 - 4*k**2 - 3*k - 4. Let r(w) = 9*w**3 + 8*w**2 + 6*w + 9. Let f(b) = 3*r(b) + 7*x(b). Calculate f(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from riwwxil. What is prob of picking 1 x and 1 i?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((61\/6)\/(((-513)\/18)\/(-57)))\/((-2)\/(-6)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(110) + (-2*2*sqrt(110) - sqrt(110)))\/(sqrt(90)*5 - sqrt(10)))**2.\nAnswer: 44\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 17544 and 6052.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 2*o = 138, -4*d + o + 135 = 4*o. Is d a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -3) + 3 - 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a**5\/19 + 32*a**4\/19 - 18*a**3\/19 - 280*a**2\/19 + 8*a + 384\/19 = 0. Calculate a.\nAnswer: -16, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = j - 8*m - 1, -2*j - 4*m = -7*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 214 divide 1568729958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 - 0. Let d(x) = -1 + 8*x**2 + j - x**2. Let c(s) = -s. Give d(c(v)).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 19*h - 82 - 51 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5886 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -25270.1063659 - 1?\nAnswer: -25271.1063659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide (42 - 3) + (-5)\/(15\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 + 1 - (-2 + 2). What is the remainder when (s - 3) + (35 - -1) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}