{"text":"Question: Let q(h) be the second derivative of -h**3\/6 - 6376*h. Let g(n) = -n**2 - 5*n + 4. Calculate g(p) - 4*q(p).\nAnswer: -p**2 - p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-6)\/387)\/((-10)\/60). Let k = x + 31\/129. Factor 0 + 1\/9*d**3 + 2\/9*d + k*d**2.\nAnswer: d*(d + 1)*(d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*c**3 + 4*c**3 + c**5 + (7*c - 3*c - 2*c)*(-17 - 10*c**4 + 17).\nAnswer: -19*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -856 + -3?\nAnswer: -859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 24400133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 33104 (base 5) to base 14.\nAnswer: b8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2598 and 18?\nAnswer: 7794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(396) - sqrt(396)*3 - (sqrt(704) + sqrt(704)*-2))\/((-2*sqrt(32))\/sqrt(8) - 2*sqrt(324)).\nAnswer: sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**5*o**(-8))\/(o**1)**22*o**(-3)\/(o*o**(-3))*o**(-1\/5)*(o\/((o*o**(-2\/13))\/o))\/o assuming o is positive.\nAnswer: o**(-1693\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -143 (base 9) in base 4?\nAnswer: -1320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of f**4\/4 + 3*f**3 + f**2 - 32*f + 3877. What is k(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 152 is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the third derivative of s**5\/16 + 3*s**4\/2 + 43*s**3\/8 - 3*s**2 - 40. Factor p(o).\nAnswer: 3*(o + 1)*(5*o + 43)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand j**2 + j**2 - j**2 + j**2 + j**2 + 0*j**2 + j**2 + j**2 - j**2 + (-2 + 0 + 4)*(3*j**2 - 3*j**2 + 2*j**2) - 2*j**2 + j**2 + 0*j**2 - j + 2*j**2 + j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1895.\nAnswer: 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8952390 and 1.\nAnswer: 8952390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -12*f. Let v(u) be the first derivative of -197*u**2 - 23. What is q(v(o))?\nAnswer: 4728*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**2. Let j be -1 + 4*3\/4. Let p(k) = -k + 3*k + 2 - j. Calculate p(m(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 + -14a?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -388 or -386?\nAnswer: -388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the second derivative of i**4\/12 - 2*i. Suppose m + 0*m = 0. Calculate w(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 75\/(-50)*8\/18.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2017?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 21.3192 times -3\nAnswer: -63.9576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1*(-2 + (1 - -1)). Suppose 0 = 3*s + 43 - 406. Let p be (-12)\/15*(s\/(-58) - -2). Which is bigger: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p**2 + 3*p**2 + p**2 + (6*p + 0*p - 3*p)*(-2*p - p + 2*p))*(4*p + 4*p - 2*p).\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*l**3 - 192*l**3 + 229*l**3.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37964744 divided by 12.\nAnswer: 9491186\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -2351.69996 rounded to the nearest integer?\nAnswer: -2352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.44  (b) -4  (c) -1.27  (d) 2  (e) -0.52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 2211120 (base 5) to base 16\nAnswer: 958d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -3*g**3 - 17*g**2 + 5*g - 8. What is r(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -5*g**3 - 6*g**2 + 9*g - 9. Let s = -1448 - -1454. Let v(y) = -6*y**3 - 7*y**2 + 10*y - 10. Calculate s*v(b) - 7*j(b).\nAnswer: -b**3 - 3*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.3214218 times -21.1\nAnswer: -6.78199998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 15 - -357?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -7503186501 and 8?\nAnswer: 7503186509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 6751 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: What is 453411961 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 h(o) = -2*o**3 + 31*o**2 - 115*o + 178. Let a be h(11). Factor -2\/3*t**3 - 4*t**a - 2\/3*t - 32\/3*t**5 + 16*t**4 + 0.\nAnswer: -2*t*(t - 1)**2*(4*t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((3 - 2) + 0)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 1)*(-2*c**2 + 4*c**2 + 2*c**2) + (3*c + 2*c - 6*c)*(-1 + 1 - 2*c).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5942443 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 28 - 26. Sort 1, c, -0.4.\nAnswer: -0.4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -5*(sqrt(10)*2*-4)\/((sqrt(45) + sqrt(180) - sqrt(45) - sqrt(45))\/sqrt(9)))**2.\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79 = -4*l + l + 2*h, 2*h - 29 = -l. What is the greatest common factor of l and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -24908205 by 755.\nAnswer: -32991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19846 is divided by 90.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*d + 85 = -115. Suppose -5*z + 10 + d = -2*n, -2*z - 5*n = -12. Calculate the remainder when 14 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-10 - (-369)\/36)\/(2\/22). Put c, 4, 0.3 in decreasing order.\nAnswer: 4, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 4*z**2 + 4*z. Let o(p) = p**2 + 19562 - 19562. Determine o(a(u)).\nAnswer: 16*u**4 + 32*u**3 + 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*y + 13 = -25 - 21 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 5*h = -234, -3*v + 9*h + 193 = 4*h. Suppose 3*k + 2*p - 127 = 3*p, k - 38 = -4*p. Let s = v - k. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/4356 and 115\/83124.\nAnswer: 10058004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*w - 2*w - 17*w)*(-3*w + 2*w - 8*w)*(3 + 3 + 4).\nAnswer: 1350*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in nineteen quarters of a hour?\nAnswer: 17100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4200?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 461916573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that z**2\/5 + 4932*z\/5 + 19712\/5 = 0.\nAnswer: -4928, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 981 - 953 + 13*d + 0*d**2 + 2*d**2. Let s be o(-4). Solve x = s*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 128, 177, 286, 485, 804, 1273, 1922, 2781?\n\"Answer: 5*f**3 + 14*f + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 23985 - 6296?\nAnswer: 17689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the first derivative of -t**4 - 5*t**3\/3 - 7*t**2\/2 - 14. Does 12 divide a(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 187 in -4, -3, -5\/3, -0.02, 48\/5, -0.5?\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1300)*-1)**2*6*-1 + 5 + -3*(sqrt(1300) + (sqrt(1300) + -1 + sqrt(1300) + -1)**2 - (sqrt(1300) + -1 + sqrt(1300) + 1)**2).\nAnswer: -7807 + 210*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -158 + 10*c**2 + 6*c + 5*c**2 + 9*c - c**3 + 133. What is the hundreds digit of r(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 280809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*z - 3*z - 20. Suppose m - f - 7 = -4*m, 0 = -3*m + z*f + 13. What is the greatest common factor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 91545917 is divided by 9038.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 + 6*m - 5. Suppose -15 = -3*a - 3*c, 5*c + 2 + 3 = a. Give o(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 248 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dw when two letters picked without replacement from {p: 3, t: 1, y: 2, w: 2, d: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*t - 8*t = 162. What is the remainder when t is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is a2a55 - 3?\nAnswer: a2a52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -2365, -2364, -2363, -2362, -2361?\n\"Answer: m - 2366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*2\/48*45\/(-15)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*r**4 + 2579*r**3 - 4*r**2 - 46493*r.\nAnswer: -24*r**2 + 15474*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -y + 6*y - 3*y + 4*y as n*y + f and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.0894 + 4.0894. Let r = 1 - 1. Which is the closest to 0?  (a) r  (b) g  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*i + 3*t = 3, -7*i + t - 1 = -10*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.478 - 0.008. Let o = 184.83 + -185. Let m = k + o. Which is the second biggest value?  (a) 5  (b) m  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**2 + 4*f + 28. What is the hundreds digit of p(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 45907 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 c when two letters picked without replacement from cuucpvvvpvppp.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -26922251 rounded to the nearest 100000?\nAnswer: -26900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -6*((-4)\/(-4))\/(9\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the second derivative of -13*z**4\/12 + 13*z. Calculate k(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 52 + 59?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -35.081 - -4.\nAnswer: -31.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.1 or 0.0108176?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -40, -45, -26, 29, 132, 295?\nAnswer: 530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 + 36. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**2 - 2*z. Let v(q) = q**2 - q. Let a(k) = -t(k) + 2*v(k). Let i(h) = -2*h. Give i(a(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 - (11 + 2) - -2. Find the common denominator of (242\/g)\/((-6)\/5) and 3 - 1 - (92\/138 - 55\/(-48)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/7)\/((-22 - -2) + 61620\/3080).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z + p - 5, 22 = -5*z + 4*p + 2. Suppose 6*u + z - 6 = 0. Let r(d) = -3*d - d**3 - u + 0*d**3 + 2*d**2 + 2*d**3. What is r(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in twenty-eight thirds of a day?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/266 or 0?\nAnswer: -3\/266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2 + v + 1. Let q(n) = 5*n**2 + 0 - 5*n**2 + 3 + 6*n - 7*n**2. Let k(m) = q(m) - 3*x(m). What is the second derivative of k(r) wrt r?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -117.9 in 84, -1\/3, -3, 0.2, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*i - 39*i - 10 = -2*s, 3*s + 5 = i for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 17 - 17 - 136*v**2 - 40*v**2 in the form o*v**2 + k + s*v and give o.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 28 = 4*a, a - 3*f - 22 = f. Let t = -6 + 11. Suppose 5 + 4 = 3*z + 4*y, 6 = 2*z - t*y. Calculate the remainder when z is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/(-2) - (-5)\/11. Suppose -4*s - 3*a = -40, -15*s + 2*a - 19 = -10*s. Which is bigger: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104133 + 97172 + 35935 = 2636*w for w.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 56602 and 124124.\nAnswer: 38602564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((1*sqrt(11))**2*2 + -4 + (sqrt(11) + sqrt(22)\/(sqrt(2)*-2) + sqrt(11) - sqrt(11)*-1*-5)**2)*6.\nAnswer: 1843\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 527 = 116*u + 2022 + 3725 for u.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -122 (base 3) to base 5\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = 2*x - 11, 7 = -28334*p + 28330*p - 5*x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 103*d + 1 = 102*d, -16*t - 3*d - 29 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1401 - -1403. Which is the closest to 2\/9?  (a) 4  (b) 5  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -2*u - 4*m, -u + 5*m = 4*u + 20. Let d = -0.059 + 3.059. Let q = -0.1 + -2.9. Put q, u, d in increasing order.\nAnswer: q, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:01 AM and 7:14 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a + 51. Let b be t(17). Suppose -86 = -g - b. What is the greatest common factor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 4\/7  (b) 5  (c) 8.4  (d) -0.3  (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 262.01358ms?\nAnswer: 0.004366893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.6*-95.9\nAnswer: -57.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - 1) + (207 - 230)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 286*n + 280*n + 211 - 568*n - 568 to g + s*n and give g.\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/40 and 91\/15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-5)\/(-10))\/((-6)\/(-56))*6. Let c be (4\/14)\/((1 - -1)\/l). What is the tens digit of -3 + -2 + c\/((-12)\/(-429))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13580261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 189736 and 5040824?\nAnswer: 5128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, w: 11, a: 6}. What is prob of picking 1 b and 2 a?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 6 - 2*h)*(6*h**2 + 2*h**2 - 3 + 2).\nAnswer: -16*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*a = 359 - 260. What is the greatest common factor of a and 441?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((sqrt(99)*-2 + sqrt(99) + 3)**2 - -6*(sqrt(99)*-2)**2 - (-2 + -3*sqrt(99) + -1)) + -4.\nAnswer: -9*sqrt(11) + 2487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -12820000 rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1854  (b) 2  (c) -84.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3.2, -1\/3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -14 - d?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1 and 2964?\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 3*l + 1. Suppose -12 = -2*h - 0*h. Let q(y) = 16*y + 4. Let d(s) = -15*s - 4. Let f(p) = h*d(p) + 5*q(p). Calculate 7*a(t) + 2*f(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*f = 26*f + 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25 - -29 - 2*26\/12.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/120*-23 - 3*(-1)\/15.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00023005 rounded to six decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.08?  (a) -5  (b) -0.0377  (c) 4\/5  (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-42)\/((-2)\/(-1 + 3)). Let k be q*(1 + (-2)\/3). Differentiate 14*w**4 - k + 4 + 5 - 8 wrt w.\nAnswer: 56*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -k**4 + 469*k + 145 wrt k.\nAnswer: -4*k**3 + 469","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*u**3 - 4893*u**2 - 1967028*u - 17304732.\nAnswer: 3*(u - 1966)*(u + 9)*(u + 326)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 253301978?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -1\/2, 43422\/19, -1\/4, -2 in decreasing order.\nAnswer: 43422\/19, -0.2, -1\/4, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2607 < 88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 - (8 - (5 + -4)) - (9 - -6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 36 - 89. Let s = -1415 - -1413. Is s at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2920.849 and -0.2.\nAnswer: -584.1698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 350806621*v**2 + 436*v - 251027?\nAnswer: 701613242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14353.\nAnswer: 31, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -6645100 to the nearest one hundred thousand.\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -34496.373 to the nearest 100.\nAnswer: -34500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o + o + 0*o)*((o - o - o)*(2*o**3 + 0*o**3 + 0*o**3) - o**4 + o**4 - 2*o**4) + o**5 + 0*o**5 + o**5.\nAnswer: 6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 2*r - 6*r. Let y = 7 + r. Suppose y*x - 329 = -5*z + 68, 3*x = z - 65. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -707, -1389, -2073, -2759, -3447, -4137?\n\"Answer: -l**2 - 679*l - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the second derivative of -l**4\/12 - l**3\/6 + 27*l**2 - 13*l. Let f be a(0). Let z = -39 + f. Solve -z - 5 = -4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5726987125.00001083 + 5726987361. Let v = -236 + z. Round v to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37033.63533 rounded to the nearest one thousand?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 17 + -12. Let l(t) = 10*t + 4 + 1 - 8*t. Let q be l(x). Solve 3*h = -2*h - q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 202*936.3\nAnswer: 189132.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10*u**5*v - 5*u**2*v - 73*u*v - 4 wrt u.\nAnswer: 200*u**3*v - 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 8, 4, 23, 0.12, 119, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.561121 kilometers to micrometers.\nAnswer: 9561121000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**2 - 2*s + 1. Let u be -4*3\/(-8)*2. Suppose -m = u*m + 8. Let c be z(m). Calculate the greatest common factor of c and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 39 + -24. Let j = 17 + -13. Suppose -3*d - j = -4*f, -f + 2*f = d. Solve -f*t + 5 + o = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, b: 2, n: 1, g: 2, e: 1}. What is prob of picking 1 g and 1 n?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(-20)*4*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**3 - 9*u**2 - 3*u - 8. Let l be d(-9). Suppose -41*j - 28 = -48*j. Sort -3, l, 5, j in increasing order.\nAnswer: -3, j, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 10 = -2*k - 3, 4*k - 24 = 4*q. Let h be (13\/(-156)*-99)\/(-3 + 1116\/368). Calculate the highest common factor of h and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -25*p**3 + 5*p**2 + 12*p - 20. Suppose -83 = -11*c + 5. Let w be c*(4 + 7\/(-2)) + 6. Let s be a(w). What is s rounded to the nearest one thousand?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 8\/5 of a litre?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is 31142878 divided by -17?\nAnswer: -1831934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**2 - 18*g + 53. Let k be h(15). Let t(l) = -l**3 + 12*l**2 - 21*l + 37. What is the units digit of t(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x + 5*h - 5315 = -5240, -21 = -7*h for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2476, -2771, -3260, -3943, -4820, -5891, -7156?\nAnswer: -8615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8884791.\nAnswer: 3, 987199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.06?  (a) -1  (b) -2.89  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times -25.13?\nAnswer: 25.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1941884*i**6 + 666*i**2 - 5628*i wrt i.\nAnswer: -233026080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -591740*f - 102045 wrt f.\nAnswer: -591740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in seventeen quarters of a day?\nAnswer: 6120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -12*a + 45. Suppose 0 = -t + 2*n + 104, -a*t + 4*n + 445 = -51. What is the highest common factor of t and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-32)\/(-72)*33\/(-22)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1*86\/(-3)*54\/(-36). Suppose -f*w = -47*w + 392. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2287*n**2*r**3 + 2*n**2*r**2 - 1134*r**2 wrt r.\nAnswer: 13722*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zhdbewwh. Give prob of sequence behd.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - (-5 + -5 + -3 - -1).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-120*x**4 - 162*x**4 + 189*x**4)*(-11 + 0*x + 13 + 2*x).\nAnswer: -186*x**5 - 186*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 332554?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (32 - (22 - -27)) + 17\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the third derivative of w**5\/30 - w**4\/8 - 23*w**3\/6 + 7*w**2. What is the units digit of c(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**3 - 17*j**2 + 45*j + 15. Determine v(14).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 94271.68 litres to millilitres.\nAnswer: 94271680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -123 - -188. What is the highest common divisor of 39 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -6825*d + 13640*d - 6821*d. Let r(k) = -2*k**2 - 61. Give r(w(j)).\nAnswer: -72*j**2 - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -104.01 - 0.6.\nAnswer: -104.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -19 - 25*k - 9*k**3 + 23*k + 22. Let h(b) = 8*b**3 + 2*b - 2. Determine 5*h(o) + 4*y(o).\nAnswer: 4*o**3 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h - 3*b + 0*b - 7 = 0, 5*h - 4*b = -32 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8079166\/1331 + -6070. Let m = 4001\/2662 + b. Determine t, given that 2*t - 1\/2*t**2 - m = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {h: 4, o: 4, t: 2, w: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 909 = 15*m - 456. Let i(l) = -5 + 3*l + 0 - 3. Let q be i(7). What is the greatest common divisor of m and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-21)*(-396 - -627)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**2 - a. Let x(t) = -10*t**2 + 4*t - 5. Let v(p) = -6*h(p) - x(p). Let o be (1\/(10\/(-6)))\/(2\/10). Is v(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 32682 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000653 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*j**2 - 60*j - 15*j**2 - 5*j**2 - 18*j**2.\nAnswer: 2*j**2 - 60*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000029260421 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**3 + 5*a**2 + 2*a + 3. Suppose 0*z + 2*z + 8 = 0. Let b be f(z). Let d = 25 - b. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n*n*n**(10\/3)*n*n)\/(n*n**7)*(n\/(n*n**(-1)))**(3\/5) assuming n is positive.\nAnswer: n**(14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -a - 632?\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -392 = 287*k - 105 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 72, 107, 142?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -38.3 - -0.3. Let w = -40 - j. What is the biggest value in 8, w, -0.4, -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3535096?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -2*u - 23. Let i be q(-1). Let c be (-11 - i)\/(-2 - -4). Solve 2*v + 0 = s + 1, -5*v = -5*s + c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 3, q: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w + 19 = 4*c, 2*c + 23 = 6*w - w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -97 - -601. What is the lowest common multiple of 168 and j?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-1 + ((sqrt(320) + -1 - sqrt(320)) + 2 - sqrt(320)) + -4 + sqrt(605) + 4 + (2*sqrt(605))**2).\nAnswer: -2420 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**3 - 3*y**2 - 2*y - 4. Suppose 14 = 4*k - 2. Let v = k - 0. Give u(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y = 3*w - 70 + 55, 3*w - 15 = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 12*z + 20. Let n be (z\/15)\/(28\/(-42)). Which is smaller: n or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**(1\/2))\/(h*h\/(h*h**(-1\/18))) assuming h is positive.\nAnswer: h**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than 15\/1261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 9b4 (base 13) in base 16?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 19384936699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -7*w + 3. Find the third derivative of -w*f + 53*f**4 + 43*f**2 - 22*f**2 - 34*f**4 wrt f.\nAnswer: 456*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3\/40 - 19\/280. What is the second smallest value in -4\/3, a, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -2*r - 12. Determine x(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**3 - w**2 - 3. Let r be i(4). What is the greatest common factor of 18 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 3*y - 15 = -6*h, 0 = -3*h - 3*y + 27. Sort -2\/29, 2, h in descending order.\nAnswer: h, 2, -2\/29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times -139.8?\nAnswer: -419.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0, -54, 784, 1, -2 in decreasing order.\nAnswer: 784, 5, 1, 0, -2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5363106?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13455 and 1191?\nAnswer: 5341635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -37 by 20830.\nAnswer: -37\/20830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3534747980 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -8, 0.7, 72, 6, -0.59 in ascending order.\nAnswer: -8, -0.59, 0.7, 2, 6, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 5 = -0*g - 4*k, -2*k = -10. Suppose g*d - 7*d = 0. Suppose -z = -4*z. Solve z = -2*n - d*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.98 and -15718.\nAnswer: 15403.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2689.983 + -2685. Let h = -0.017 - c. Which is smaller: h or 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 10) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*k**3 + 3*k**3 - 5*k**3 + (-3 + 2 + 3)*(2*k**3 - 4*k**3 + 3*k**3).\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -65 + 67. What is the fourth smallest value in 0.4, m, -4, -1\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-84)\/102*((-36)\/42)\/(-3).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add 76.737894 and 10.\nAnswer: 86.737894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1823294496 less than 0.6?\nAnswer: 1823294496.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -312\/7 - -45. Suppose 0 = 3*g + g + 4, -23 = -4*d - 5*g. Which is the nearest to 0?  (a) y  (b) d  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 - -11421221500?\nAnswer: 11421221453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.216 + -1.151. What is t rounded to 3 dps?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 70 - -25842?\nAnswer: 25912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -24 + 14. Let g be (-9)\/w + (-1)\/2. What is k in -g*k**2 + 0*k + 2\/5*k**3 + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-2\/5)*d*d)\/(d*d*d\/(d**(2\/5)*d)))**(-37)*((d*d\/(d\/((d\/(d**(2\/9)\/d)*d*d)\/d)))\/(d\/(d**(-10)\/d*d)*d))**(-7\/8) assuming d is positive.\nAnswer: d**(259\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 1 l when three letters picked without replacement from sjxxl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 92 + -88. Suppose i = 3*v + d, -3 + 7 = i + 2*v. Find s, given that 0 + 5\/2*s**3 + 1\/2*s**4 + 2*s + i*s**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (882\/2646)\/(-1 - 46\/(-45)). Solve -4*y - a = -u, -4*u = -y + 5*y + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 145700 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**3 - 15*m**2 + 36*m + 44. Let k be u(-17). Solve k*q + 78 = -16*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 616 and 80?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2080 + -2079.95. Which is the nearest to 10?  (a) 1\/2  (b) q  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25352614?\nAnswer: 2, 7, 331, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:43 AM and 1:11 AM?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 14*g**2 + 4*g + 16. Let f be h(-4). What is the highest common factor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 0*x**3 - 4*x**3 - 2 + 3*x**3 to the form w*x + p*x**3 + u*x**2 + d and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.3 + -1.1. Let h = a + 0.3. Let s be ((-155)\/35 + 4)*-1. What is the second biggest value in s, 0.5, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**3 - 977*m**2 - 6839*m + 36. What is l(-7)?\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/45  (b) 3  (c) -1\/38  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**3 + 318*y**2 + 627*y + 312.\nAnswer: 3*(y + 1)**2*(y + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 7*c**2 - c. Let w be a(-1). What is the units digit of -1 + (3 - 5) + w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 2 - 6 = -2*s, 4*k = 5*s - 10. Suppose k*l = -l + 19. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.033198766 and 151.0108?\nAnswer: 151.043998766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17*f**3 + 25*f - 18*f**3 + 3 + 4*f to the form y + s*f + m*f**3 + j*f**2 and give s.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, 1, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -19, -56 in descending order.\nAnswer: -5, -19, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 45 = 31. Let t(q) = 45*q**2 - 3*q - 2. Is t(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, -247, 0, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -31.2 + 38. Let c = v + -11.8. Let h = 0 - -0.1. What is the second smallest value in h, c, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 2 n, and 1 s when four letters picked without replacement from tsnsbjjsnbnnt?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2692357 (base 11) to base 7.\nAnswer: 54322121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 + 7*q**2 - 3*q. Suppose -4 - 8 = -2*z. What are the prime factors of c(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 + 15. Let u = o - 11. Let g = 0.2 - -0.3. Which is the second biggest value?  (a) g  (b) u  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times 0.195449?\nAnswer: 0.390898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74*d + 130833 = 128761 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, d: 1, o: 1, g: 1, k: 2, u: 1}. Give prob of sequence yd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -2*m**2 + 9*m + 853. Let x be k(0). Suppose -3*l - 5*f = -x, -10*f = -3*l - 7*f + 861. List the prime factors of l.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 3*o**3 + o**2 - 4*o + 11. Let j(t) = -7*t**3 - 3*t**2 + 7*t - 23. Let c(d) = 9*f(d) + 4*j(d). Is c(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6804 * -0.03178.\nAnswer: 216.23112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7690\/3 - -2564. Find z, given that k*z + 1 - 1\/3*z**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*s + 72 = -48. Let w be ((-16)\/s)\/(2\/(-5)). Solve 4*d + 3 = 3*h - w*h, 0 = 4*h + 5*d + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -13*t**3 + 5*t**2 + 7*t + 95. List the prime factors of a(-5).\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k + 8. Suppose -3*s + 6 = -n, 2*n + 5*s + 11 = 32. Let u(i) = -1. What is n*u(l) + b(l)?\nAnswer: -l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*j - 3*j + 11*j in the form n + u*j and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4088543.449 - 4085082. Let x = l - 3447.25063. Let t = 14.2 - x. What is t rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = y + j - 3*j, 0 = 4*y - 3*j - 30. Let l = y - -2. Factor -3*d + 2*d**2 - 5*d**2 + l - 35 + 21*d.\nAnswer: -3*(d - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 24072 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: Calculate the remainder when 789 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 16114714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the first derivative of c**7\/840 + c**6\/90 + c**5\/24 + c**4\/12 + 4*c**3\/3 + 8. Let w(f) be the third derivative of q(f). What is w(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 81392.44 to the nearest ten.\nAnswer: 81390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2046 + 2043. Let f(p) = -7*p. Let n(u) = -34*u. What is a*n(h) + 14*f(h)?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**3 - 9*z**2 - 4*z + 59. Let o(x) = x**3 - x. Let i(y) = h(y) - 4*o(y). Find the first derivative of i(t) wrt t.\nAnswer: -15*t**2 - 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 5, n: 2}. Give prob of picking 1 z and 1 n.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -19.04 - -33.24. Which is bigger: -6\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*p + 3*p**2 + 0*p + (4*p**2 - 6*p**2 + 3*p**2)*(3 - 2 + 3).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2\/(-1))\/((12\/30)\/(-1)). Suppose -2*u + 0*b + 73 = 3*b, -165 = -s*u - 4*b. What are the prime factors of u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 16) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -34\/3 in -3, 11, 3084?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/17  (b) 2\/5  (c) 65328\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -125*z**3 + 9*z**2 + 8*z + 7. What are the prime factors of g(-2)?\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2734 - 912 - 913 - 574*j - 904.\nAnswer: -574*j + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/5 or -39\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 9336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 - 193*i**2 + 178*i + 2694. What is h(192)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 2*i. Let k(g) = 3359*g + 343. Give u(k(m)).\nAnswer: 6718*m + 686","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Put -1\/27, -5, 11, -1\/4, -0.2 in ascending order.\nAnswer: -5, -1\/4, -0.2, -1\/27, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**3 + 66*w**2 - 708*w - 38873. Calculate z(-68).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:29 AM and 8:48 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2486199589?\nAnswer: 4583, 542483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3851383759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 113020990?\nAnswer: 2, 5, 59, 191561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5.16 - 0.16. What is the closest to 0 in 0.3, -11, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 17 + (183 - 227)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 21*i**2*p + 36*i*p - 2*p - 1093 wrt i.\nAnswer: 42*i*p + 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84 - 124 = -22*g + 100 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes before 1:02 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1 - -2967)*(1 + -2 - -2). Let f = w - 32603\/11. Find the common denominator of ((-4)\/(-2))\/((-54)\/(-69)) and f.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the second derivative of d**5\/30 + d**4\/4 + 5*d**3\/6 + 4*d**2 + 29*d. Let y(v) be the first derivative of a(v). Let p = 27 + -31. Determine y(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1347781754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.62 or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(11\/4)\/l*l*l\/(l*l\/(l*l*l*l**(-8))))\/(l**1\/(((l\/((l**(-2\/23)*l)\/l)*l)\/l)\/l)) assuming l is positive.\nAnswer: l**(-383\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes before 1:02 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**3 + 7*a**2 + 8*a - 3. Let o be g(-6). Let c = 15 + o. Suppose c = -3*j + 99 + 894. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 44*u + 977. Let f be j(-16). What is the greatest common divisor of 63 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, v: 1, h: 1, x: 2, k: 1, q: 1}. What is prob of picking 1 a and 1 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2051*s**2 + 1152*s - 10372953 with respect to s.\nAnswer: -4102*s + 1152","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Express (6*t - 4*t - 3*t)*(-42*t - 2 - 67*t + 160*t) as r + n*t + g*t**2 and give g.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 4, 0, 3690 in descending order.\nAnswer: 3690, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 i when three letters picked without replacement from iikkkkikki.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s + 7*p - 43, -6*p + 8 = -22. Let f be (1\/(-2))\/((-13)\/4). Which is the closest to 1?  (a) s  (b) 3  (c) f  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4496 = 113*j - 117*j. Suppose 2*i + j = 4150. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + 7. Suppose 0*g - s*g = -42. Solve 0 = -3*q + g*q - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 33 + (84 - 92) + (0 - 76) + 5 + 2.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 398731049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = j - 2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tee when three letters picked without replacement from tpetttstspee.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -5*t - c + 102, 3*t - 66 = -3*c. Suppose t*a + 60 = 14*a. Let r be 0*5\/a*1. Which is greater: 1\/8 or r?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18640116 a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 92 - 56. Suppose -4*j + 0*j + f = 0. Suppose 3*l - 85 = -2*l. Calculate the remainder when l is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 2 l when four letters picked without replacement from zzzzmzzmzllmzzzm.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r = -r - 100. What is the units digit of (-6)\/15 + 708\/r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**3 + 25*x**2 + 69*x - 45. Determine a(-21).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -441 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/3366 and 185\/5639172.\nAnswer: 16917516","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let j be (1\/3)\/(5\/(-10)). Put j, -0.09, -0.5 in descending order.\nAnswer: -0.09, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 7\/21 + (8\/(-12))\/2. Let k(a) be the first derivative of d*a**2 + 9*a + 1\/2*a**4 + 9 + 0*a**3. What is the derivative of k(i) wrt i?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/2 + 3*-1. Let z(f) be the third derivative of f**5\/20 - f**4\/24 + 5*f**3\/6 + 1224*f**2. What are the prime factors of z(a)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 211064 and 32.\nAnswer: 844256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7478 - 7472. Let d(f) be the first derivative of -28*f + h + 3\/2*f**2. What is the first derivative of d(y) wrt y?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1199865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (11375\/350)\/(45\/2)\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -3625690.36, 1.\nAnswer: -3625690.36, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes before 12:44 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert bb5494 (base 12) to base 4.\nAnswer: 23112031300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pfefbfbbifppepff. What is prob of sequence fp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 + x - 1. Let o = -489 - -490. Let p(y) be the second derivative of -y**4\/3 - 4*y**3\/3 + 4*y**2 + y. Calculate o*p(n) + 6*j(n).\nAnswer: 2*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -31, -71, -133, -223, -347?\n\"Answer: -p**3 - 5*p**2 - 18*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifty-nine fifths of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + 1 + (-24 - -14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, -3, 1\/2 in ascending order.\nAnswer: -12, -3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 314 a factor of 59318228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1298739.\nAnswer: 3, 13, 33301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 4*r + 0*r = 267, -3 = r. Let p = z - 31. What is the greatest common factor of p and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 110 = 5*w - 0*w. Let u = 52 + -19. Let q = -21 + u. Calculate the remainder when w is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 29 - -13.8. Let v = -43 + t. Let z = 0.17 + v. Which is smaller: 0.1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/(-6) - (-98)\/21. Let x = -15 + k. Let l = -3 - x. What is the smallest common multiple of l and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1\/(-3))\/(6\/324*-3). Suppose -t + s*a = 4*a - 221, -2*t - 5*a + 433 = 0. Let g = t - 150. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -17 - -11. Let v(t) = t**3 - 2 + 5*t**2 + 0*t + 0*t - 8*t. Calculate the remainder when v(r) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 29400*s**2 - 434*s + 28.\nAnswer: 58800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 8b8276 (base 12) to base 5\nAnswer: 1032423304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 + -2. Suppose n*x - 44 = 3*s, -x + 22 = x - s. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.5 - 0. Let q = 0.1 - -2.9. Let u(m) = -m**3 - 5*m**2 + 5*m - 7. Let d be u(-6). Which is the closest to d?  (a) 3\/7  (b) q  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 39 - 40. What is the hundreds digit of -1*g*2*302\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = 4*m - 37. Let a = 113 - 111. Solve -4*s + 0*s - 20 = 2*t, m = -a*t - 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22853735?\nAnswer: 5, 4570747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t**5\/5 + 138*t**4\/5 + 874*t**3\/5 + 1926*t**2\/5 + 1792*t\/5 + 120 = 0. Calculate t.\nAnswer: -2, -1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -o + 0*o**3 + 12*o**2 - 33*o**2 + 3*o**3 - 4*o**3 + 25*o**2 to r + j*o + q*o**3 + l*o**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3781 and 1154399?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1240*n + 448*n = -1020*n + 70408 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2367  (b) 0  (c) 4  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - 66 - 1 - (33 + -64).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 5183, 10341, 15499, 20657, 25815, 30973?\n\"Answer: 5158*f + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**2\/6 - 269*q\/6 + 45.\nAnswer: -(q - 1)*(q + 270)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 4671.3 to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 586.502 litres to millilitres.\nAnswer: 586502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*m*o**2*v - 20*m*v**2 - 17626*o**3*v**2 - o**3*v - 2*o**2*v + 302113*o*v wrt v?\nAnswer: -40*m - 35252*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 7\/(-21) - (-62)\/(-3). Let l = 36 + a. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 504 - 526. Let y be (-12)\/(-5)*(-55)\/k. Let h(d) = d + 2. Give h(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 + -213314000?\nAnswer: -213314004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from teqtqtq. Give prob of sequence qett.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 191010227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -7*b**3 - 13*b**2 - 14*b + 4. What are the prime factors of k(-5)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -15a7d1f - 7?\nAnswer: -15a7d26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + (sqrt(13) + 0 + 3)**2 + sqrt(13))*-3.\nAnswer: -24*sqrt(13) - 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -386085 + 386087. What is g in 0 - 122\/5*g**3 + 35*g**5 + 3*g**4 - 12*g**k - 8\/5*g = 0?\nAnswer: -2\/5, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1*(-32)\/(3 - 7) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 o when three letters picked without replacement from bjojjozzoaoozjj?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43 = -4*l - 5*f - 50, -l = 4*f + 10. Calculate the lowest common multiple of l and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -2835.\nAnswer: 1\/945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - -1 - (-10 - -8)) + 3 - (1322 - 1247)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 983.7238 + 3.3562. Let a = j - 967. Round a to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 21, 27, 33, 39, 45, 51?\n\"Answer: 6*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*s - 116 + 13 - 40. Which is the third biggest value?  (a) -4  (b) -35  (c) s  (d) 2  (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the third derivative of 0*c**3 - 1\/16*c**5 - 1\/16*c**4 + 0 + 4*c**2 + 0*c - 3\/160*c**6. Factor a(w).\nAnswer: -3*w*(w + 1)*(3*w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 963779 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-35)\/7 + (-104)\/(-20))*-3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j - 4*p + 28, 0*p + 4*p = 0. Let t = -49 + 150. Calculate the remainder when t is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12460?\nAnswer: 2, 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1363, -1356, -1345, -1330, -1311, -1288, -1261?\nAnswer: -1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes before 10:42 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -7 (base 10) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -75*d - 1. Let i(g) = g**2. Determine i(c(j)).\nAnswer: 5625*j**2 + 150*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(216) - ((sqrt(216) + sqrt(216)*-2 - sqrt(216)) + sqrt(216)) - sqrt(216))*5)\/(-1*sqrt(6)\/sqrt(2) - (sqrt(72)\/sqrt(2))\/sqrt(12)) + 5)**2*3.\nAnswer: -450*sqrt(2) + 1425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 - 3 = v - 4*s, 5 = -5*s. Let z be ((-10)\/25)\/(v\/(-20)). Let g = 8 + -4. Solve -g*q = -z - 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(273) + sqrt(273) + 5*(sqrt(273)*1 - sqrt(273)) + sqrt(273))\/sqrt(7))\/(-4*(sqrt(363) - -3*sqrt(363))).\nAnswer: 15*sqrt(13)\/176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 462 divided by 6.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 186344 or 186337?\nAnswer: 186344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -167 + 88 + 95 + p. Let g(o) = 9*o. Calculate u(g(r)).\nAnswer: 9*r + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 25809016 to the power of 1\/2, to the nearest integer?\nAnswer: 5080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -88 - 1 - (-2115 + 2112)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**2 - 134*z - 2640. Give p(-27).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/2 equal to -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**3 - 31*o**2 + 55*o - 14. Let k be -1 - (-31)\/(-1 - (-4)\/2). Let p be r(k). Round p to the nearest 10.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 5101*c. Let l(v) be the first derivative of v**2\/2 - 10390. What is o(l(g))?\nAnswer: 5101*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s - 5*a = 70, -6*a + 12 = -2*a - 3*a + 29 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16880, 11299, 5718, 137, -5444, -11025?\nAnswer: -16606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.03057 to four decimal places.\nAnswer: 0.0306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5760 is divided by 359?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1661718505 plus -1.6?\nAnswer: -1661718506.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 2*g**3 - 28*g**2 - 28*g - 27. Let p = -270 - -285. Let c be u(p). Solve -10*z = -c*z + 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 42 - 111 = -4*p, 4*p - 24 = -4*m. Suppose -y - p = -3*y + h, -5*y - 4*h = 5. What is the remainder when 61 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 108 and 14787?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 508 - 302. Suppose 1314 = 10*m - k. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*3*(-5 + -2*sqrt(684)*6 + 0).\nAnswer: 30 + 432*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(4\/21)\/(i\/(i\/i**9))*(i\/i**(2\/11)*i)**(-15))**(-38) assuming i is positive.\nAnswer: i**(316730\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 - 3. Let i = -73 - -72. What is the closest to i in a, 0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (s + 5 - 4 + 35*s**2 + 1)*(677 + 441 + 895 + 32) in the form d + p*s**2 + n*s and give n.\nAnswer: 2045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) 3  (b) -3  (c) 2  (d) -203  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3609 (base 13) in base 15?\nAnswer: 23c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*g + 2*g - 5*g)*(-4 + 4 + 2*g) + 7*g**2 - 29 + 29 - 12 - 8 + 21 + 7*g**2 in the form o + n*g**2 + d*g and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 151356849 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the second derivative of -82*k**6\/15 - 47*k**3\/2 - 158*k. What is the second derivative of r(x) wrt x?\nAnswer: -1968*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -212*g**2. Let y(q) = -7985*q**2 + 2. Determine y(c(f)).\nAnswer: -358877840*f**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11914 - 11914 - 4*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 4 + 0*l**2 + 1 + 0 - l**2. Let g be i(0). What is the third derivative of -13*d**2 + 10*d**2 + 2*d**5 - 2*d**5 + d**g wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 + 2*f**2 - 5*f - 10. Let g be m(3). Calculate the greatest common divisor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 859998 + (0 - 0 - -2). What is i rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*q**5 + 2*q**2 + 46*q**6 - 23*q**6 - 24*q**6 + 0*q**3 + 0*q**3 + 110 wrt q?\nAnswer: -120*q**3 - 480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttttttttnnettt. What is prob of picking 2 n?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f**(1\/5)*f)*f*f**(-1\/5)*f)**13*((f\/((f*f**(-3\/7))\/f))\/f**(-5))**(2\/67) assuming f is positive.\nAnswer: f**(49226\/2345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -527, -2158, -4877, -8684?\nAnswer: -13579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2608 + 2608. What is the second smallest value in 4, -0.5, -5, 20, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10743*q**3 - q**2 - 3*q + 102?\nAnswer: -64458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r + 4 + 0 + 4*r)*(-2*r - 3*r + r)*(-6 + 10 + 1).\nAnswer: -80*r**2 - 80*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14 - 13.95. Let r = k + -0.25. Let u = 214\/85 - 36\/17. What is the second smallest value in u, -0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00318546 to four decimal places.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -15 - (-1 + 1 - -2) - (-52 - -53)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 31913660*-0.02\nAnswer: -638273.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06113409553 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**2 - 11*j + 85. Let p be o(-23). Let s = 41 - p. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 12 + 72 = 0. Solve 8 = 5*q - o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 1684*p + 3370. Give t(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * -64.12.\nAnswer: -6.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 225593 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 93*p**2 - 32*p + 128. Let j(b) = 46*b**2 - 16*b + 65. Let v(h) = -3*f(h) + 7*j(h). Let i be v(9). What is i rounded to the nearest one hundred?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) 0  (c) 2.5  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 61911043 to the nearest integer?\nAnswer: 7868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjrz when four letters picked without replacement from {z: 1, r: 3, h: 6, j: 3}.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*u - 46608 - 7171 = 0. Suppose 7*s - 494 = u. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is ba65 + 0?\nAnswer: ba65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s**3 + 5*s**3 - 4*s**3 + (2*s**2 - 3*s + 3*s)*(-s + 2*s + s) + 4*s**2 - 4*s**3 - 4*s**2)*(-5 + 4 + 3)*(-4 + 4 - 4*s).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2249, -4503, -6755, -9005, -11253?\nAnswer: -13499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 0*n + 13 = 0. What is the lowest common multiple of n and 3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 218830, 875368, 1969598, 3501520, 5471134, 7878440, 10723438?\nAnswer: 14006128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.2  (b) -0.15  (c) 0.5  (d) 163146\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -148 + 142. Let i(c) = 3*c**3 - 12*c**2 - 12*c - 8. Let b(w) = w**3 - w**2 - w. Let k(j) = 4*b(j) - i(j). Determine k(l).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -68\/25 smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/16481 in 3, -3, 1\/2, -10\/127?\nAnswer: -10\/127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 126468 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 119 + -38. Let o = 21008 + -20925. Is q >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11608322?\nAnswer: 2, 11, 31, 17021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -587, -1194, -1803, -2414?\n\"Answer: -x**2 - 604*x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 - ((9 - (0 + 2 - 5)) + (634 - 641)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -442 (base 5) in base 8?\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 228\/(-380)*5\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -0.03931, -1\/11, 0.08, 2 in ascending order.\nAnswer: -1\/11, -0.03931, 0.08, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as -35\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 2*u**3 + 6*u**2 + 233*u + 972. Give m(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -10, 2 = 4*p + 3*m - 4. Suppose p*r + r - 8 = 0. Solve -3*h + r = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from hfhaafff.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 48 + 80. Suppose 4*n = -5*y + 13 - 3, -5*n = 25. Suppose -s + 56 = -5*l + y, -4*l = -3*s + m. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 63221 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are 3149 and -23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 2 w when four letters picked without replacement from iikikkiiiwiikwiw.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 643 is divided by 318?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -379*k - 5*s = -375*k - 35, k - 11 = -2*s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:05 AM and 2:51 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 122443800 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -135 (base 13) in base 4?\nAnswer: -3111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 0 - 2)*(6*u - 11*u - 6*u).\nAnswer: 99*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -42 in -2\/9, 0.1, 1, -111\/5?\nAnswer: -111\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -6*y - 3 - 4*y + 3. Let c(v) = -2*v**2. Give m(c(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14*o**2*s**2 - 3*o**2*s - 8*o**2 + 15*o*s**2 - 423 wrt o.\nAnswer: -28*s**2 - 6*s - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.052?  (a) -211  (b) -1  (c) 70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*t**2 - 571 - 3*t**2 + 0*t**2 + 150.\nAnswer: 2*t**2 - 421","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in t + 609 + 3*t - 3*t - 5*t.\nAnswer: -4*t + 609","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-81))\/(-1)*1*-3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*p**4\/2 + 3806*p**3 + 209039*p**2\/2 + 100711*p = 0. Calculate p.\nAnswer: -26, -1, 0, 7747\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 k when three letters picked without replacement from hhkhhhhkhhhhkhhhkh?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.13943 and -0.2?\nAnswer: 0.33943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 55905 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 601\/812 + 2\/203. Let t = -0.5501 + 1.1501. Put t, a, -0.1 in descending order.\nAnswer: a, t, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 9, 2*v - 18 = -5*b - 2. Suppose d + b*d = 36. Suppose 2*h + h = -d. Let f(z) = z**3 + 4*z**2 - z - 2. Give f(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -1\/64  (b) 24  (c) 3818\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4141 + 5342 = -1260*u - 17601 - 60578 for u.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 8 - 12. Let h(i) = 12*i - 1. Calculate the lowest common multiple of h(t) and 19.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 1781*d = 1779*d - 14, -5*h + 2 = 4*d. Solve -6*o = -h*o - 28 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 696 - 652. Suppose 14*y + 114 = w. What is the second smallest value in -0.3, y, 32?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -67 by -3.\nAnswer: 67\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the first derivative of -l**2 + 4*l + 7. Let z(s) = -6*s + 11. Let o(r) = 7*r - 12. Let y(b) = 3*o(b) + 4*z(b). Determine -5*h(a) + 3*y(a).\nAnswer: a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 334*z + 4058. List the prime factors of j(53).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-12)\/(-40))\/(2\/(-5)). Suppose u = 2 - 4. Is u equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.7435 times 5?\nAnswer: 38.7175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2104 and 16?\nAnswer: 4208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.06 + 1.94. Let v be (-3)\/6*(-2)\/4. Let d = 416\/87 + -1093\/174. Which is the third biggest value?  (a) v  (b) d  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -3*s + y, -s + 28 = -5*s - y. Let m(x) = 48862*x + 34. Let f be m(s). What is f rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/((-24)\/(-9) - 0). Let u = -0.1 + 1.1. Let h = -0.3 + 3.3. Which is the closest to u?  (a) -0.2  (b) i  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s - 696 = -710 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -315 + 132. Let h = 183 + y. What is the closest to -1 in h, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 980 + -679. Let o = -306 + i. Put o, 4\/17, -0.2 in increasing order.\nAnswer: o, -0.2, 4\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1596787681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2775*j - 1670*j**2 - 2775*j.\nAnswer: -1670*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the second derivative of z**4\/6 + 6*z. Let w(k) = -24*k**2. Calculate l(w(d)).\nAnswer: 1152*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 - -148101?\nAnswer: 148085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-6))\/(0 + (-3)\/36)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and 11703 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 3*c = 2*j + 129, j - 144 = -2*c. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 62336531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.293, 2, 0, -2 in descending order.\nAnswer: 2, 0, -1.293, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 (base 12) in base 14?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (9008610\/780)\/((6\/(-4))\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -163*-0.06\nAnswer: 9.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 2*n**2\/19 - 5044*n\/19 + 5042\/19 = 0.\nAnswer: 1, 2521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -20.716152886 to two decimal places.\nAnswer: -20.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 29 - 151 = 0. Let z = s - -27. Calculate the highest common divisor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 4*w. Let a(l) = 9*l. Let s = -94 + 134. Let r be 1\/(-5) - (-1648)\/s. Let q = -43 + r. Calculate q*a(c) + 5*o(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3257 + 3288. Calculate the greatest common factor of b and 1984.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -79*q**3 + 6*q**2 + 262.\nAnswer: -237*q**2 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 44*q**3 + 5 + 312*q**3 + q**2.\nAnswer: 268*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 5 = 0, -j + 0 + 13 = 2*w. Suppose 7 = -4*o + j. What is the units digit of (18\/27)\/(o\/234)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the third derivative of 3*c**6\/40 - c**5\/60 + c**4\/24 - c**3\/6 + c**2. Let n be d(1). Solve n = 4*w - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3217189698.\nAnswer: 2, 3, 7247, 8221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -19, -12, -5, 2, 9, 16?\n\"Answer: 7*p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*1*sqrt(1539)*-4)**2 - (2*sqrt(2736) + -2 - (1 + sqrt(2736) + -2 + sqrt(2736))).\nAnswer: 98497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -684 = 6*w + 4380. Let a = 2017 + w. Suppose -a = -10*d + 357. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 7*w. Let k(f) be the first derivative of -3*f**2\/2 + 219. Give k(z(b)).\nAnswer: -21*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 276*r**2 - 278*r**2 + 3*r + 74*r + 742 - 169*r.\nAnswer: -2*(r - 7)*(r + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 28580 by -20.\nAnswer: -1429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 83\/35 + (-2)\/(-10). Suppose 2*m + 53*o - 49*o + 12 = 0, -2*o = -m + 14. Which is bigger: u or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 1, 2 in descending order.\nAnswer: 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 + 5. Suppose -157 = -5*k + 93. What is the remainder when k is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0\/25*2\/(12\/2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 47183.59 centuries?\nAnswer: 4718359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*i = 89*i - 205 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6044605499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -57, -52, -37, -6, 47, 128, 243?\n\"Answer: k**3 - k**2 + k - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iteeeztei. Give prob of picking 2 t.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -4*j + 6. Let p be 5\/j - (-3 - -6). Which is the closest to -2?  (a) p  (b) -1\/5  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 128*n + 4071. Give i(-32).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-48)\/(-216))\/(8\/40)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 32061, 31401, 30741, 30081, 29421?\n\"Answer: -660*p + 32721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -27*z - 1. What is j(-2)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 675 = -7*f. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15 + 15. Let g(w) = w**3 - 5*w + 1. Let x be g(4). What is the highest common factor of p and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 156905659?\nAnswer: 829, 189271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9659 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 3*k**5 + 2638452*k**4 + 580121718096*k**3 + 1160198582718*k**2 - 7541487351699*k + 5801164412430 = 0.\nAnswer: -439741, -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -9 + -1062a5?\nAnswer: -1062b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -281 in 8, 2\/9, 5\/13?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 828894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, w: 1, t: 2, y: 1, c: 1, x: 7}. What is prob of picking 1 t and 1 w?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-2)\/4)\/(1*-2))\/((-46)\/(-92))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -582*m - 500*m - 10864 + 148318 = 396*m for m.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 10028500?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 7*j**3 + 2*j - 3. Let n be q(1). Let g(f) = -6*f**2 - 4*f + 5. Let s(a) = -7*a**2 - 4*a + 6. Determine n*g(v) - 5*s(v).\nAnswer: -v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 183 divided by 61?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**4)\/j*j*j)\/j*(j\/((j\/j**6)\/j))\/j)\/(j\/(j*j**(-2))*j**(-2)\/j) assuming j is positive.\nAnswer: j**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + j + 1309546 = 0. Suppose -4*y - 125239 - j = n, 1560009 = -2*n - 3*y. What is n rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the third derivative of -n**9\/45360 - n**8\/30240 + n**7\/7560 - n**5\/20 + n**2. Let k(d) be the third derivative of r(d). Factor k(w).\nAnswer: -2*w*(w + 1)*(2*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -33 + 41. Let o(w) = w**2 - w + 12. Let p be o(0). Suppose 5*s = 4*s + p. What is the smallest common multiple of s and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 48\/95 + -2\/19. Let p = 1.1 + -5.1. What is the closest to b in 0, 0.5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -66.57 and -1.8.\nAnswer: -68.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-two fifths of a micrometer in nanometers?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 65*p**2 - 2*p + 3. Calculate m(-1).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the second derivative of t**7\/840 + t**6\/240 - 2*t**4\/3 - 8*t. Let z(d) be the third derivative of m(d). Solve z(c) = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 10  (b) -1373  (c) 3  (d) 0.033\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 8 = 6. Suppose 2*h + 21 = 4*y + t, -4*h - 19 = -y. Do y and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5298628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 5121189 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-4)*((-10)\/(-2))\/15?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y + 3 - 3)*(-2*y - 6*y**4 + 4*y**4 + 0*y**4).\nAnswer: 4*y**5 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 40 - 32 = 0. Suppose 0 = 5*f - 2*p - 44517, -x*f - 9*p = -6*p - 17803. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-5)\/(-3195)*290 + 6\/27. Let r = -2\/213 + c. Let 2\/3*q**2 - 2\/3*q + 2\/3*q**3 - r = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -6*(-2 + 6\/4). Let o = 716 - 715. Is t*o\/((-3)\/(-223)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 354868*k**3 - 834830*k wrt k?\nAnswer: 2129208*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -13*y**2 - 521*y + 2883. Determine g(-45).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/2525 and 49\/150.\nAnswer: 15150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 953117 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1086 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: Let o be 2\/(-3) - (-2)\/(-6). Let m = -2.92 - -3. Let f = 2.92 + m. Which is the second biggest value?  (a) f  (b) -1\/2  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 57 + -25. Suppose 4*r - w = 50, 0*r + 2*w = -3*r + s. Find the second derivative of r*q - 19*q + 9*q + q**4 wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -49. Let l = 47 - r. Is l less than 18\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + w + (0 + 3 - 1)*(-2*w + 2*w - 2*w))*(-14*w + 5*w - 11*w).\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -o + 0 + 0 + (-219*o + 1023*o - 353*o)*(3 - 8 + 3) to the form f*o + u and give f.\nAnswer: -903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4494, -8997, -13506, -18021, -22542?\nAnswer: -27069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 + 237 = 18*j. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**2 + 19*g - 38. Let k be s(-21). Suppose k*u + 16 - 2 = -m, -3*u = -m + 7. Let z = 0 - -0.4. Put u, z, -5 in decreasing order.\nAnswer: z, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 752251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 5, 13, -19 in increasing order.\nAnswer: -19, -5, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/22 and 23\/48482.\nAnswer: 533302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-16)\/(-880)*33 + (-49)\/65. Let x(f) = -2*f**2 - f + 2. Let h be x(-2). Which is the nearest to -0.1?  (a) l  (b) -0.2  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -13) + 11 + -25?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(374)\/sqrt(396))\/(sqrt(20)\/(3*sqrt(10))) + -2.\nAnswer: -2*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 6, c: 13}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k**5 - 11*k**4 + 35*k**3 - 13*k**2 - 60*k = 0. Calculate k.\nAnswer: -1, 0, 3, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 14) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(2\/7))**(2\/23))**0 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002134648632 rounded to seven decimal places?\nAnswer: 0.0002135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.255, 3\/2, 29, -2414 in ascending order.\nAnswer: -2414, -0.255, 3\/2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sys when three letters picked without replacement from wsgygwpwwywywypgpsl?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -110.4 * -24.\nAnswer: 2649.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*h - 19*h - 2*o = 1, h + o - 2 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 135552 and 1200?\nAnswer: 3388800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3017692363.\nAnswer: 7, 139, 1499, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (390\/10*(-28)\/70)\/(3\/(-45)*-3).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6\/15 - (-123)\/5. Suppose r - n = -2. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 y when two letters picked without replacement from yqyyqyycqqx.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3056, -6112, -9168?\nAnswer: -12224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(110)*-2*-1*3)\/(-4*sqrt(40)*-3).\nAnswer: sqrt(11)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - 7 - (-13 - -4 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 5*l - 44. What is the highest common factor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 6*w. Let a(h) be the second derivative of 2*h**3\/3 - 8*h. Calculate c(a(q)).\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 17*b + 2. Let j be g(-1). Let h = -13 - j. Let u(w) = -5*w**h - 2*w**2 + 1 - 2*w + 8*w + 8*w**2. Give u(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**3 - 24*c**2 + 78*c + 43. Suppose -q + 60 = 3*p, -p + 3*q + 0*q + 20 = 0. Let i be d(p). Solve -4*a + 16 = i*h, -4*a = -4*h - 6*a + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l + l + 12. Suppose t + l*t - 5200000 = 0. Round t to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from chcgchhchobcgg. What is prob of picking 1 g and 1 h?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 2*q**2\/11 + 332*q\/11 - 672\/11 = 0.\nAnswer: -168, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98 = -2*o + 3*o. Suppose -4*u + 3*n = 462, -4*n = 4*u + 224 + 224. Let c = o - u. What is the remainder when 93 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 88965.\nAnswer: 3, 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 17 - (-4 + 7)\/3. Suppose -n*i = i - 4233. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 7) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 193\/330 and 241\/1954260.\nAnswer: 1954260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the third derivative of 0 - 1\/60*j**5 + 1\/3*j**3 - 1\/24*j**4 + 0*j + 4*j**2. Factor s(z).\nAnswer: -(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -110 or -101?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -120 - -265. Let n = x + -80. Let d = n - 15. Calculate the greatest common divisor of 20 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 82 and 5207?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -467.1 - -467.09995414. What is l rounded to 6 dps?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 4554, 4298, 3874, 3282, 2522?\n\"Answer: -84*g**2 - 4*g + 4642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3872 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + p = l - 26, 10 = 2*p - 3*l for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*(25\/(-10))\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -12723279*l**2 - 773717 wrt l.\nAnswer: -25446558*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -308*a + 303*a = -10. Let w(c) = -3*c**2 + 14*c + 0*c**2 - 3*c**a - 14*c. Let z(x) = 3 - x - 3. What is z(w(p))?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25201104.\nAnswer: 2, 3, 163, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s**(2\/13))**(-28))**27)**41)**11 assuming s is positive.\nAnswer: s**(-681912\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/(-9) + (-32)\/18)*-40. Calculate the greatest common divisor of 30 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -148 - -147. What is the common denominator of -109\/36 and (271\/30)\/m + (-250)\/(-50)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 - -19. Suppose 1411 = -14*l + 2075 + 512. Calculate the greatest common factor of l and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -613335 - -3?\nAnswer: -613332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 8799 times 0.0097?\nAnswer: 85.3503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 48 + (5 - 34) + 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 0.199, -3924, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*l**2 + 5280*l + 839475 = 0. What is l?\nAnswer: -861, -195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 12*(-1 + 3\/2). Suppose 0 = -8*d + 4*d + 12. Suppose d*t + j = 6*t. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 2 v when three letters picked without replacement from vvooovoo?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together 124.763 and 0.01.\nAnswer: 124.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 5*m, 3*a + 2*m + 43 = 274. Does 18 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes before 11:26 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + 36 + 98. Let i(y) = -3*y - 3. Let l be i(-2). Suppose l*p + 5 = s, -5*s + p = -101 + 34. What is the remainder when o is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/(-12) - (-1)\/(-3). Suppose -h - 2*a = 2*h + 60002, y = 5*h + 4*a + 100004. Round h to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 462 divided by 2\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m\/(m\/((m*m**(-7)\/m)\/m))*m*(m**(-1\/3)*m)\/m assuming m is positive.\nAnswer: m**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 8999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**2 + 11*n + 62. What is the tens digit of g(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h = 177 - 45. Let k = h + 39. Let n(b) = b**3 + 21*b**2 + 31*b + 54. Let w be n(-19). Calculate the highest common divisor of k and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 - 43 - 4*n + 46 - 151*n**2 to z*n + h*n**2 + p and give h.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -152984, -611933, -1376826, -2447645, -3824372, -5506989?\n\"Answer: 3*u**3 - 152990*u**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1bd94 + -29?\nAnswer: -1bdbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 232*h**3 - 102*h**3 - 123*h**3.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.25 + -0.05. Sort r, 0.3, -5 in decreasing order.\nAnswer: 0.3, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 860641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*s**2 + 465*s.\nAnswer: 5*s*(s + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 13\/4 of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 30556*u**2 - 4*u - 16. Let d be q(12). Round d to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -3*p - 24, 3*h - 2 = -p + 4. Let u(s) = 3*s + 1. What is the remainder when (-27 + -2)\/(0 + -1) is divided by u(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:41 PM and 9:14 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1637*y - 47 + 751*y + 871*y.\nAnswer: -15*y - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4.513 and -0.5.\nAnswer: -2.2565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8341970 to the nearest integer?\nAnswer: 2888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*w**2 - 5*w**2 - 8*w**2 - 2*w**4 + 231*w)*(6*w - 3*w - 4*w).\nAnswer: 2*w**5 + w**3 - 231*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together -10802.3056 and -3.\nAnswer: -10805.3056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x - 157 = -4*h, 1140*h - 2280*h + 2*x + 6 = -1140*h for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the third derivative of 1\/12*n**4 + 0 + 4\/105*n**7 + 1\/5*n**5 + 0*n**3 + 0*n + 3\/20*n**6 - 3*n**2. Factor t(g).\nAnswer: 2*g*(g + 1)**2*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5765 is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/2)\/(1\/12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 26117 and 35126?\nAnswer: 10081162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**2 - 11*m - 7. Is t(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1937310 divided by -4?\nAnswer: -968655\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = 5*y + 15. Let s be (-3 - y) + -3 + 4. Is s greater than 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 25064, 25065, 25066, 25067, 25068?\nAnswer: 25069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2757600)\/(-18) - (3 + 6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x - 5*u + 11 = 0, -2*x + 3*u - 9 = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/6*n**2 - 1\/2*n + 1\/3.\nAnswer: (n - 2)*(n - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(112)*-2*-5 + -1 + sqrt(112) + 1 + 0)**2 + 2.\nAnswer: 13557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 + -3. Suppose 5 = 5*j, 0 = 4*l + 3*j - 4 + 21. Suppose 408*g - 2364 = 999*g. What is the third smallest value in 1\/9, t, g, l?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 5*j = -64, -j = z - 4*j - 70. Calculate the remainder when z is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -380667, -3045262, -10277731, -24362010, -47582035?\n\"Answer: -380656*g**3 - g**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 47958, 191788, 431504, 767106?\n\"Answer: 47943*o**2 + o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 273 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110010011010 + -11010010?\nAnswer: -110101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 2*m**2 + 10*m + 10. Let d be w(-2). What is the least common multiple of 4 and ((-96)\/(-165) + d\/11)*15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -84*k**2 + 13587*k - 10148. Determine x(161).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31613347.\nAnswer: 67, 471841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 124*y - 1029. Let h be w(28). What is h rounded to the nearest ten?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -26*a**2 + 14*a**2 + 15*a**2. Let w(c) = -7*c**2. What is l(w(d))?\nAnswer: 147*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -6*a**2. Let f(w) = -9*w + 14*w - 3*w. Determine f(o(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -938*q**2 + 11. Let h(y) = 117*y. What is b(h(j))?\nAnswer: -12840282*j**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 93 + 2*o**2 + 7*o + 4*o + 234 - 14*o as v*o + s + t*o**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than or equal to -94\/171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 337  (b) 0.6  (c) 10944\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(140)\/sqrt(40) - sqrt(14))\/(sqrt(12)\/sqrt(6)*-1) + 2 + 4*1*2*sqrt(567).\nAnswer: 2 + 145*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-11 - -13) + (-2)\/(-1) + -2. Find w, given that 26 - 124*w**d + 42 + 120*w**2 - 64*w = 0.\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2619 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -27 + 24. Let r(v) = 7*v**2 + 8*v + 4. What is the tens digit of r(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) -14\/9  (c) 11\/35  (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 647789661 to the power of 1\/3, to the nearest integer?\nAnswer: 865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 203\/2 - 101. Let q = -35.98 + 36. Which is the biggest value?  (a) q  (b) f  (c) 3  (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 202295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 86 - 70. Suppose d = 4*r - 64. Suppose 4*i = -4*k + r, -2*k = -6*k - 16. What is the highest common factor of 27 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 444921*h**4 - 17*h**2 + 45665868?\nAnswer: 1779684*h**3 - 34*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2771426732.\nAnswer: 2, 193, 197, 18223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -3 + 5 - 7 - 12 + g - 10. Let m be o(17). Which is the second biggest value?  (a) 3  (b) 5\/3  (c) -1  (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1206, 4781, 10730, 19047, 29726, 42761?\n\"Answer: -i**3 + 1193*i**2 + 3*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -0*i - 66. Suppose 0 = 2*a - 6*a + 40. What is the smallest common multiple of i and a?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 3435*w. Let m(v) = v. Give c(m(f)).\nAnswer: 3435*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange i + i**3 + 2*i**3 + 0 + 1 + i to the form k*i**2 + s + j*i**3 + u*i and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 + 66\/(-17) + (-8)\/(2040\/(-25084065)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 5\/506?\nAnswer: 5\/506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from aahraoproryahayar.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 780777 to the power of 1\/2, to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -4*(2 + -4*(-3 + (sqrt(99))**2) + (-2 + sqrt(11) + -3 - (sqrt(1584) + 2))).\nAnswer: 44*sqrt(11) + 1555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -768.3, 6\/5, -0.1, -4, -4\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 908*b**2 - 17*b + 85. Let h be (8 - 10)\/((-6)\/(-18)). Let w(y) = -303*y**2 + 6*y - 30. Let r(m) = h*q(m) - 17*w(m). Let s(n) = n**2. What is s(r(k))?\nAnswer: 88209*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the second derivative of 17*n**4\/12 + n**3 + 3*n**2 + 144*n. Let x(u) = 16*u**2 + 5*u + 5. What is 5*r(o) - 6*x(o)?\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000141588863 to 7 dps.\nAnswer: -0.0001416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -13*o. List the prime factors of f(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2139*n**2 + 632300789*n**3 + 2139*n**2 - 632300784*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 7}. What is prob of picking 2 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((-1 + sqrt(39)\/(sqrt(6)\/sqrt(2)) + sqrt(13) + -2)**2 + 1 + sqrt(117)\/(sqrt(9)*1) + 5) + 3.\nAnswer: -33*sqrt(13) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) 3096  (b) 0.07  (c) -3\/5  (d) 49  (e) -1  (f) -5  (g) 2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*d = -7*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 3*-1*5*(sqrt(52) + (-1*sqrt(416))\/sqrt(8)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15\/14 + 31\/42. Which is the third biggest value?  (a) m  (b) 16.1  (c) -2  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-11))\/(47\/(-517)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-357)\/(-180) - 2)*-1. Let l(i) be the third derivative of -n*i**6 + 0*i - 1\/12*i**4 + 0*i**3 + 0 - 1\/15*i**5 - 2*i**2. Factor l(j).\nAnswer: -2*j*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -126*c**2 + c + 3 - 2 + 5 - 7 to the form u + b*c**2 + z*c and give b.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the first derivative of 7*n**2\/2 + 35*n + 53. Let b be y(-5). Solve b = 2*s - 2, 0 = -5*x - 5*s - 15 + 45 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 23. Let y(l) = 2. Let o(c) = 2*g(c) - 22*y(c). Suppose 16 = 4*m - 4, 5*q - 3*m = 0. Let t(a) = a**2 - 3. Determine q*o(f) + 2*t(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5575 by -1.\nAnswer: -5575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 49356 - 8143852\/165. Which is bigger: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h + 1. Let z be a(-5). Let o(q) = 5*q + 1. Let i(d) = 9*d + 2. Let n(x) = -6*i(x) + 11*o(x). Calculate n(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 8\/15 of a minute?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 165689 is divided by 41419?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -3*c**2 + 304*c - 82. Let d be v(101). Calculate the greatest common factor of d and 26.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 234 = -5*v + 2*v, 0 = -2*w + v + 150. Calculate the remainder when w is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 254 - 1639. Let u = 103892\/75 + q. Let r = -2\/75 + u. Which is the third smallest value?  (a) 1\/4  (b) r  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 1581*u - 16000. What is s(10)?\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 10383400 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1480 divided by 148?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 - -6. Let i be t\/4 - (-17)\/(-2). Let u = 17 + i. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -19 + 4. Solve 0 = 4*d + d - y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1530559837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 16\/43 or 5?\nAnswer: 16\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -4*l. Let t(f) = f - 1. Let n(z) = t(z) + x(z). Let p be n(8). Let a be (-5)\/p - 51\/105. Sort -3, 0, a in ascending order.\nAnswer: -3, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(500) + -1 - sqrt(500))**2 + sqrt(500) - (sqrt(5) + -1 + sqrt(5))*2.\nAnswer: 3 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (43\/172)\/(7\/4)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h + 5 = 7*h. Suppose -h*a = -5, 3*z + 4*a - 5 = 5. Suppose -9*u + 8*u = 5*d - 36, -72 = -z*u + d. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 245*t**3 + 679*t**3 + 121*t**3 - 94*t**3 + 411*t**3.\nAnswer: 1362*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 37 - 34. Differentiate -17 + s**3 + 3*s**3 - w with respect to s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 528, 2133, 4814, 8577, 13428, 19373, 26418, 34569?\nAnswer: 43832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5ee2 (base 15) in base 16?\nAnswer: -4f0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -88, -157, -226, -295, -364?\n\"Answer: -69*o - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 2962.99m?\nAnswer: 2962990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**3 + 5*v**2 + v + 1. Let t be q(4). Suppose 0*r - t = -r. Suppose -70 = -5*b + x, -77 = -4*b + 4*x - r. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -23 - -71\/3. Let p = 0.098 + -4.098. Which is the closest to r?  (a) 5  (b) p  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/w**(-5))\/w*(w*w**(-1))\/w)**(-7))**4 assuming w is positive.\nAnswer: w**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(162) + 3)**2*3*6 - (3*(-1*(3 + sqrt(200) + sqrt(200)) + sqrt(200)))**2).\nAnswer: 2160*sqrt(2) + 5985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 2*j**3 - 34*j**2 + 4*j - 64. Let u be h(17). Solve 3 = u*s + k, 2*k + 3*k = 5*s - 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-3)\/(-9) + 1)\/(10\/3). Factor 2\/5*p**2 - 4\/5 - q*p.\nAnswer: 2*(p - 2)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1059 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j**4\/3 - 20*j**3\/3 + 18*j**2 - 12*j = 0. What is j?\nAnswer: 0, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -33*6\/(18\/(-5)). Suppose -2*h + j = 3*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 762.3304ml to litres.\nAnswer: 0.7623304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(2 + (-5*(-1 + sqrt(180))*5)**2).\nAnswer: -452508 + 30000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.15 + 0.85. Let r = -43.5 - -43.2. Which is the third smallest value?  (a) 3\/14  (b) r  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**3 - 7*h**2 - 7*h + 8. Suppose -28 = -0*v - 3*v - 4*u, -4*u = 4*v - 36. Let r be j(v). Suppose t - 30 = r. What are the prime factors of t?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 112786.\nAnswer: 2, 56393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 33*n + 37. Let w be u(-1). Solve w*d + 23 = -2*x - x, 3*x + 15 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -75*(8\/(-10))\/2. Let v = f - 20. Solve 12 = v*s - 6*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*y = -48*y + 268 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 53\/2 - 473\/18. What is the closest to 1 in 0.2, -5, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -38, 24, 17, -27, 2 in ascending order.\nAnswer: -38, -27, -2, 2, 17, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 5*l + 8 - 53 = 0, -2*n - 3*l = -19. Let z = n - 6. Factor -2\/3*o**5 + 0 + 0*o**z + 0*o**4 + 4\/3*o**3 - 2\/3*o.\nAnswer: -2*o*(o - 1)**2*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 2, 3.8, -1.4, 0.25?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 450874 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 11661224 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 13*l**2 + 2*l + 1. Let u(h) = -h**2. Let d(o) = n(o) + 3*u(o). Let z be d(-1). Suppose -z = -2*f - f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-49)*74676\/(-99822)?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and -22131.\nAnswer: -66393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = c + d + 10, 45 - 41 = -d for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -19133505*i**2 - 7066024*i wrt i?\nAnswer: -38267010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*x**3 + 361*x**2 + 0*x**3 - 368*x**2 as c + v*x**2 + i*x**3 + h*x and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.004332542 to 4 dps.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-24*(-12)\/(-384))\/((-65)\/(-546)*3\/10).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1260.702 kilometers in micrometers?\nAnswer: 1260702000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*y - 72 - 2*y - 1854*y**2 + 14*y**3 + 1926*y**2 - 12*y**3 = 0.\nAnswer: -36, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 2475 = 3*y + 319, -3*x + 4204 = 2*y. Let v be 12\/10*x\/(-21). Let d be (v\/(-24))\/((-1)\/3). Which is bigger: -0.1 or d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2414 + 2418. Let k(n) be the first derivative of 3\/4*n**i - 5*n - 1 + 0*n**3 + 0*n**2. What is the derivative of k(f) wrt f?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9.98 + 4.98. Let o = 0.7 - -0.3. Put -1\/8, o, h in increasing order.\nAnswer: h, -1\/8, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78669 plus -1026?\nAnswer: 77643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 5*h = -0*k + 501, -h - 1503 = -3*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 37*u - 26. Is c(5) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 749 and 28.\nAnswer: 2996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.08, 1867.6, 2\/15.\nAnswer: 0.08, 2\/15, 1867.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -3*i - 5. Let n(j) be the second derivative of j**3\/6 + j**2 + 54*j. Let w(a) = -95*a - 765. Let x be w(-8). What is x*n(k) - 2*o(k)?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 411900571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * -0.355645.\nAnswer: -1.066935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ru when two letters picked without replacement from uuuuuuur?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -102264\/11 or 1?\nAnswer: -102264\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 - (0 + 1 + -24). Suppose -w - 7 = -3*l. Solve -l = b - 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -30*4\/272*22\/(-55).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -5520*n. Let t(w) = 460*w. Determine 3*d(x) + 35*t(x).\nAnswer: -460*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1634.\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 6*v - 10. Let c = 11 + -12. Let x(s) = -s + 1. Determine c*j(b) - 8*x(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (0\/1 - 882)*23\/(506\/(-99)) is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(2736) - 5*(sqrt(2736) - -2*sqrt(2736)) - (sqrt(2736)*1*-4 - sqrt(2736))))**2 + -2 + sqrt(2736)*3 + 1*(-4*sqrt(2736))**2.\nAnswer: -180*sqrt(19) + 265391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1\/3)\/(i\/((i*i*i*i\/i**(2\/7)*i*i)\/i))*i**(-6)\/i**(-12))**(-29) assuming i is positive.\nAnswer: i**(-5713\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 11657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 248, 548, 1076, 1838, 2840, 4088, 5588?\nAnswer: 7346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1684 - -0.03?\nAnswer: 1684.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 45808.0301 + -272070119.0301. Let y = 272024289.9999483 + t. Let d = -21 - y. Round d to 6 decimal places.\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = 11 - 31. Let d be (-3)\/(6\/(-16) - 0). Solve c*n = -2 - d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the second derivative of -5*j**3\/6 + 11*j. Let u(z) = -19*z - 7*z - 15*z + 50*z. Calculate y(u(o)).\nAnswer: -45*o","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q - 1. Let y be f(-6). Suppose -5 = 3*i - 6*i + d, 0 = -i - y*d + 7. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.05535 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4553.\nAnswer: 29, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (139 - 61 + 217)*(11 - 6*x - 11) in the form q*x + m and give q.\nAnswer: -1770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 139 - 61 = 0. What is the remainder when a is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5799767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - -3) + (4 + 1 - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 - -3983363.\nAnswer: 3983363.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -49861, -101449, -153037?\nAnswer: -204625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4793392?\nAnswer: 2, 41, 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 4, -2, -245, 2, -75 in decreasing order.\nAnswer: 7, 4, 2, -2, -75, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -61 divided by -1.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 68 = 5*q. Let s = q - 9. Let o(h) = -1 + 6 + s*h - 5. Let d(f) = 2*f. Calculate d(o(y)).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times -0.2738?\nAnswer: 0.02738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 16418 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**3 + s**2 + s - 4. Let m be (9\/(-3))\/(6\/(-10)). Let g = -7 + 11. Suppose -q + g*y = 4*q - 12, y + 3 = m*q. Determine h(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 98 = 2*a - 2*w, -2*w + 237 = 5*a - 1. Suppose -9*d - a*d + 114 = 0. Solve -10*k = 12 - d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the first derivative of -388*y**2 - 562*y + 113. Differentiate k(c) wrt c.\nAnswer: -776","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 5986 and 6308 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -111.5 - -111. Is b at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l, 1 t, and 1 o when four letters picked without replacement from hlgtthog.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 0 + 9 = 4*l, 0 = -5*t + 2*l + 27. Suppose 22 = v + t. Suppose -3*f = -v - 180. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.083 + -2.433. Let v be 18\/30 + (-17)\/(-5). What is the nearest to -1 in v, g, 2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m - 1. Let r(a) = -4*a - 1 + 4*a + a. Let c(v) = 6*h(v) - 7*r(v). Calculate c(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -16*f**2 + f**2 + 1079*f**4 - 1087*f**4 wrt f?\nAnswer: -192*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 256 divide 16264604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1578*0.2\nAnswer: -315.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17 - (-478 + (20 - 0)) is divided by 231?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 170 smaller than -32648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4*t**2 - t + 82.\nAnswer: -8*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 + 4 + 1211 + -18 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i**5 - 19*i**4 - 130*i**3 - 350*i**2 - 125*i + 625 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is (-372)\/6*(-2)\/((-4)\/(-29)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 + -3.99. Let f = w - -0.49. Suppose -6 = 2*g + 2. Which is the closest to 0?  (a) -0.1  (b) g  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2956353?\nAnswer: 3, 985451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and 2\/1215215 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2084*r**3 + 578*r**3 + r**2 + 581*r**3 + 924*r**3 - r**2.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -753 * -0.8\nAnswer: 602.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13211 (base 5) to base 14.\nAnswer: -556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**2 - 518*k - 30260.\nAnswer: -2*(k + 89)*(k + 170)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and 1030974.\nAnswer: 5154870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 75929?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, 2, -0.2, 120 in increasing order.\nAnswer: -4, -0.2, 2, 5, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*a = 23 + 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 1161*o**2 + 6*o. Let a(l) = 2323*l**2 + 11*l. What is 4*a(j) - 7*k(j)?\nAnswer: 1165*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the second derivative of -j**4\/12 - 7*j**3\/6 + 4*j. Find the second derivative of b(a) wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**2 + 8*s + 8. Let w be v(-6). Let y(f) = 5*f - 5. Let a(i) = 4*i - 4. Let b(z) = -3*a(z) + 2*y(z). Does 5 divide b(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 2 t when four letters picked without replacement from {t: 5, p: 4, x: 1, a: 2, q: 1, o: 2}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 17 - 3 - (4 + -6). Let c be (-1)\/((4\/m)\/(-1)). Solve -c*r - 5 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the first derivative of r**2 - 32*r + 22. What is the derivative of w(m) wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o*o**(-5)*o*o*o*o*o)\/o**(-2))\/((o*(o*o**(2\/5)*o*o)\/o)\/(o\/o**(-2\/3)))*o*o**0\/o*o**(1\/4)*(o**(-1\/2)*o)**(1\/18) assuming o is positive.\nAnswer: o**(229\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 159503 - 82122. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 54 and 90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00015506 to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 36 + -35.932. What is w rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6\/5 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -26294, -105333, -237046, -421433, -658494?\n\"Answer: -26337*h**2 - 28*h + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12*w**2\/7 - 190*w + 222\/7.\nAnswer: -2*(w + 111)*(6*w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -22\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-5)\/(-10))\/(2\/12). Suppose 3*x - z*d = 6, 5*d - 3 = x - 1. Let o be 4\/(-1)*6\/(-8). Calculate the highest common divisor of o and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -4084*f**2. Let w(r) = -2100*r. What is w(c(h))?\nAnswer: 8576400*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -19  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k + 2. Give c(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -4*z**3 + 3*z**2 - 5*z - 72. What is the remainder when y(-10) is divided by 214?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2\/30845 + 215899\/246760. Let y(m) be the first derivative of -c*m**2 - 35 - 3\/4*m + 5\/6*m**3. Suppose y(f) = 0. Calculate f.\nAnswer: -3\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -9*q**2 - 14*q + 21. Let i(f) = 4*f**2 + 7*f - 11. Let a(m) = 3*g(m) + 5*i(m). Let s be a(1). Let b(v) = -v**3 - 7*v**2 - 8*v - 2. What is b(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:43 PM and 12:02 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is three sixteenths of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 222*o - 11. Let x(k) = -56*k + 3. Let z(f) = -2*c(f) - 9*x(f). Let b be z(1). Calculate the greatest common factor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3.8, 0.08, -1, 4, 2\/19, 0.23, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let z = 200 + -134. Calculate the greatest common factor of z and 726.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2 - (-2)\/(-4))*(-10 + (-1596)\/(-171)). What is the second biggest value in -0.19, 3\/5, p?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 times -65.49\nAnswer: 6.549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 2*r - 3. Let k be n(2). What is the units digit of (-5)\/(0 + -2 + k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 32\/(-12)*(-6)\/4. Let l be (3 + -2)*(-2)\/p. What is the smallest value in 0.1, 4\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, -1, 2, 439 in descending order.\nAnswer: 439, 10, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uu when two letters picked without replacement from usuzzhcauszh?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -2*j**2 + 39*j - 16. Let f be z(19). Suppose f*a - 7*a + 600 = 0. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20 + 12. Let v = 8.3 + n. Let t = v - 0. Sort t, 5\/3, 0.2.\nAnswer: 0.2, t, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**3 + g**2 + 8*g + 3. Let a(l) = -2*l**3 + 8*l + 2. Determine 3*a(d) - 2*q(d).\nAnswer: -4*d**3 - 2*d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 3*k + 6*y - 5, -3*y - 3 = 0. Which is the fourth smallest value?  (a) -1  (b) k  (c) 1\/3  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**2 - x + 2. Let b be c(-3). What are the prime factors of (2 + b + 1)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 13041892.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 167 - 1?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -25, 2\/265, 3\/7, 0.045 in decreasing order.\nAnswer: 3\/7, 0.045, 2\/265, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -19*h + 24*h - 355. Let z(v) = h*v - 9 + 8 - 34 - 26*v. Let i be z(6). What is the highest common factor of 47 and i?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -32 + 35. Calculate the least common multiple of x and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z + 2 - 2)*(2 + 1 - 4) - 5*z + 4*z - z + (-4 + 6 - 3)*(-1 + 1 - z) + 3*z - 4*z + 3*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 415921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-191*m + 125*m - 35*m)*(m**2 + 4*m**2 - 6*m**2).\nAnswer: 101*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -469882*l**4 + 5*l - 2642 wrt l.\nAnswer: -5638584*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 78708 and 1428?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120 = 4*u - 4*s, -u + 4*s = 5*s - 20. What is the remainder when 497\/5 - 6\/15 is divided by u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1622 is divided by 125.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**3 - r**2 - 14*r. Let y(q) = 3503*q**4 + 6*q**3 + 11*q**2 + 84*q + 159. Let v(s) = -6*c(s) - y(s). What is the third derivative of v(b) wrt b?\nAnswer: -84072*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -k**4 + 0 + 0 + (k + 0*k + 0*k)*(-3*k**3 - k**3 + 14*k**3) as b + w*k**2 + t*k + g*k**4 + j*k**3 and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppa when three letters picked without replacement from {t: 2, p: 2, z: 8, a: 4, o: 3}?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 0*k + 3161 = h, 3*k = -4*h + 12689. Round h to the nearest one hundred.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6854133 is divided by 1713419?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 4*z - 4. Suppose 0 = z*k + 4 - 16. Solve -k*y + 4 = -0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 249862148?\nAnswer: 2, 79, 790703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**2\/6 - 34003*k\/6 + 17002\/3.\nAnswer: -(k - 1)*(k + 34004)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -z**2 + 3*z - 3*z - 1 - 4*z**2 to f*z**2 + k*z + c and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12434 is divided by 64?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -2*g + 6*h + 4, 0 = -4*g + h + 14. Solve -3*u = -g*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/(-22))\/(19194\/1829828).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, 2\/7, 0.4, -2\/291, 4\/3.\nAnswer: -2\/291, 2\/7, 0.4, 1\/2, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 475*c - 16 = 479*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.005702488 rounded to 4 dps?\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hq when two letters picked without replacement from {j: 4, h: 1, q: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 4, d: 3}. What is prob of sequence dd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00902 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -80, 69, 210, 337, 444, 525, 574?\n\"Answer: -q**3 + 2*q**2 + 150*q - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1507*j*l*t - 48*j*l - j wrt t.\nAnswer: 1507*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 127\/1548 and 137\/148062.\nAnswer: 38199996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6456 by -30.\nAnswer: -1076\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k. Let c(v) = -6*v + 5. Determine c(a) + 2*p(a).\nAnswer: -4*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**0)**(-24)\/(v\/((v\/(v\/v**(2\/5)))\/v))**(1\/9) assuming v is positive.\nAnswer: v**(-1088\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 68478364 to the power of 1\/2, to the nearest integer?\nAnswer: 8275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**2 + 760*c - 758.\nAnswer: -2*(c - 379)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 take away -19879167105?\nAnswer: 19879167167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u - 3*f + 1745, -5*f = -0*f - 15. What is the thousands digit of 7 + (-45)\/10*u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21*20\/70 - 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a\/(a*((a*a**(1\/2))\/a)\/a*a))*a**(-1\/3))\/(a\/a**(-2\/7)*a)**(-32)*((a\/(a\/a**(-3\/4)))\/a**(4\/3))**(1\/13) assuming a is positive.\nAnswer: a**(80971\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 562961.36 rounded to the nearest one thousand?\nAnswer: 563000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1684*f + 1714*f + 194*f)*(1 + 0 + 0) to w*f + b and give w.\nAnswer: 3592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 20586?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1862\/28 + 1\/(-2) + 1. Let t be (-12)\/(-30) - 676\/(-10). Which is bigger: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 773716403, 773716400, 773716397, 773716394, 773716391?\n\"Answer: -3*j + 773716406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2288*z**3 + 53*z**3 + 1116*z**3 + 1106*z**3.\nAnswer: -13*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -594, -593, -592, -591?\n\"Answer: r - 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -130212113 (base 5) to base 8.\nAnswer: -2322536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -29*n + 161. Let u be w(4). Calculate the highest common factor of u and 2745.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*c**3 + 0*c**3 - 4*c**3 + (0*c**2 - 4*c**2 + 5*c**2)*(4 - 4 + 2*c) - 10*c + 10*c + 1 + 3*c**3.\nAnswer: 3*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/201450 and -64\/3.\nAnswer: 201450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -28 - -30.4. Let j = 2.3999816 - n. Round j to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 336*x + 163*x + 92*x.\nAnswer: 591*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, 0.06551, -235\/6?\nAnswer: -235\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -118b + 17513?\nAnswer: 16344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 122 (base 5) to base 9\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.6 + 1. Let z = -4 + 2. Let x = z + 3. Which is smaller: x or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 44 and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oqi when three letters picked without replacement from {v: 1, i: 2, o: 1, q: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 14\/8 + 2\/8. Suppose 0 = -a*q + 3*q - 8. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l + 1. Let c(f) = -4*f**2 + 11*f + 11. Let y(k) = -4*c(k) + 44*i(k). Let o(v) = 10*v**2 - 18*v**2 + 6*v**2 + 4*v**2. Determine y(o(u)).\nAnswer: 64*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-5 - -2)*(-42)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 174210 is divided by 366.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**2 - 64*d - 439. Determine l(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15082 + 15088. Solve -t = -3*v - 4*z, -2*v + 5*z + 16 = -11 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00003532 rounded to 6 decimal places?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**3 + 4*c**2 + 7*c - 8. Let b(t) = t**3 - 9*t**2 + 9*t - 3. Let y be b(8). Let w be u(y). Factor 18\/7*k**w + 4\/7 + 2*k + 2\/7*k**4 + 10\/7*k**3.\nAnswer: 2*(k + 1)**3*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10 - 6. Suppose z*m = 2*m + 8. Suppose -m*t + 11 = -3*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -28*g - 11*g + 176*g to j + n*g and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 158943800 a multiple of 6340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1375415157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 110?\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**2 - 15 + 2*i + i + 20. Let b be o(-9). Let z = 122 + b. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -3*w**3 - w**2 + w + 1. Let q be r(-1). Suppose 3*f - 11 = 4*f - 5*l, 0 = -5*f + q*l + 60. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:39 AM and 1:51 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 363\/(-22)*(-4)\/(-3). Let x = -14 - z. Calculate the lowest common multiple of 11 and x.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 o and 1 s when four letters picked without replacement from {s: 1, t: 4, n: 6, o: 6}?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjujujjujjjjuukjuuj. What is prob of sequence uuuu?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -n - 14, -5*s - 2*n + 10 = -n. What is the closest to 0 in 3\/2, 0.5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -671, 3, 3\/16, -2 in increasing order.\nAnswer: -671, -2, 3\/16, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -29124 - -29163.037. Let n = 51 - 90. Let y = d + n. Round y to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 100, 186, 252, 286, 276, 210, 76?\n\"Answer: -2*c**3 + 2*c**2 + 94*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1343261 + -89231. What is m rounded to the nearest ten thousand?\nAnswer: 1250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.4  (b) -2  (c) 0.11  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -21  (b) -5  (c) -10  (d) 0.11  (e) 7\/806\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j. Let f(a) = -a**2 + 7*a + 12. Let t be f(10). Calculate the remainder when 267 is divided by p(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*w - 3*v - 10, 4*v = -2*w - v + 10. Suppose -2*t - 3*t + w = 0. Let f(a) = 16*a. What are the prime factors of f(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 14\/63 - 10096\/(-90). Let p = 112 - r. Which is bigger: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 6, -7, -402\/41.\nAnswer: -402\/41, -7, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2809*l**4 + 5066*l**3 + l**2 + 66564555*l wrt l?\nAnswer: 33708*l**2 + 30396*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/41 in -7, 0.2, -5, 0.5, -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 200112 - 202001100011?\nAnswer: -202000122122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 271174529363750075807\/1907269 - 142179487719741. Let p = 10\/20959 - g. Let v = 26\/7 + p. Sort 0.1, v, 5 in ascending order.\nAnswer: v, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4219.6257 - 4219. Round t to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000084262 to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-53)\/4*(-7628)\/(-1907)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 40\/510267 and -145\/12?\nAnswer: 2041068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -183, 5, -1, 390, 3, 0, 363 in descending order.\nAnswer: 390, 363, 5, 3, 0, -1, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s + 1632374*w - 1632375*w + 18 = 0, 2*w = -s + 13 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 140 a factor of 38530116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9 and 585.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**2 + 16*n - 155. Let u be p(26). Let j = -403 - u. Solve -j = -q - 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 d, and 1 k when three letters picked without replacement from {w: 2, k: 2, h: 4, d: 1, s: 1, r: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1748, -3186, -4624, -6062, -7500, -8938?\n\"Answer: -1438*x - 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 - c11226?\nAnswer: -c11223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the first derivative of 32*m**4 - 12*m**2 - 4*m - 9. Factor n(t).\nAnswer: 4*(2*t - 1)*(4*t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express h - 10*h**4 + 2 + 5*h**4 + h**2 + 14*h**4 + 2*h - h**3 + 15*h**4 in the form n*h**2 + v*h + l + m*h**3 + i*h**4 and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -732 + 1360. Suppose 0 = 4*h - 2*a - 280, 405 - 55 = 5*h + 2*a. What is the remainder when l is divided by h?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 448*c - 856.\nAnswer: 448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -27.8 - -28.05. Is y at least as big as -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-3)*235773\/9246\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -122681000 rounded to the nearest 1000000?\nAnswer: -123000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21 + 11*n - 21)*(-1 + 2*n + 2*n - 5*n).\nAnswer: -11*n**2 - 11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -22*o**2 + 22*o - 505. Let c(n) = 40*n**2 - 40*n + 1009. What is -6*c(u) - 11*d(u)?\nAnswer: 2*u**2 - 2*u - 499","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 929144400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 375 and 23595.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k + 5 + 1. Let b = -14 - -3. Let d = -16 - b. What is the second biggest value in -4, k, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 + -7\/5. Let g(i) = -i**2 + 5*i - 1. Let d be g(3). Suppose 2*t - 3 = d*t. Is t at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18799\/7 + -2691. Let d = 53562 - 135779672\/2535. Let u = 210397\/10140 - d. What is the common denominator of u and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28491.063 rounded to the nearest one hundred?\nAnswer: 28500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 52129 + -27909. What is z rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 451207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 3\/7*u**2 - 24\/7*u + 45\/7 = 0. Calculate u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-11417)\/(-147) - 75)\/((-6)\/(-4)).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x - 3*x - x)*(-2*x + 0*x + 3*x) + (5 - 3 + x + 0*x)*(-25*x - 68*x + 5*x).\nAnswer: -90*x**2 - 176*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -2*r - 1. What is the units digit of w(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 234 and 5412?\nAnswer: 211068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96*r + 478*r - 10770 - 4892 = 0 for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes before 7:52 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 26 - -10. Let p = 1055 - 1051. Suppose -4*n - p*d = -25 - 535, 5*n = 3*d + 724. Calculate the remainder when n is divided by a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o = -2*h - 7, 12 = -17*h + 13*h - 4*o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 23 - 3133?\nAnswer: -3110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4043 + 36337\/9. Let i = 173\/36 + t. Which is the closest to 0?  (a) 3  (b) -1\/9  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 138 is divided by (-69)\/(-4) + (-165)\/(-44) + -5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2 and 22951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 108631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, s: 3}. Give prob of sequence sr.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 7 - ((-2)\/8)\/((-2)\/24). Which is the third biggest value?  (a) g  (b) 0.1  (c) 5  (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 261\/40 + -57\/8. Suppose 0 = 3*h + h. Which is the closest to 0?  (a) h  (b) y  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes before 9:08 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2682 - 81 = -84*v - l, -7*l + 170 = -5*v - 2*l for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/17155221 and 101\/84.\nAnswer: 480346188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 4*t - 15. Suppose t = 4*b - 1. What is the units digit of (-21)\/(-27) - b\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 7*q + 2. Suppose -4*i - 47 = -7. Let r = -6 - i. Is 15 a factor of f(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 544*z**4 - 430*z**3 - 19*z**2 + 37*z**2 - 546*z**4 - z - 20*z**2 to the form x*z**4 + d*z**3 + i*z**2 + h + w*z and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3084 and 3.\nAnswer: -3081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 60 a factor of 1139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2287003?\nAnswer: 53, 43151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 14173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 14369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 12\/1345667?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 11445.1673 to the nearest 10.\nAnswer: 11450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 250b3 (base 12) to base 15\nAnswer: ed4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -600704 and 0.4?\nAnswer: -240281.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21 + 11*r - 106 + 127.\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*h - 383 = -279. Solve -3*u - 19 = h*r, 0*u = u + 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7676.238 nanometers to millimeters.\nAnswer: 0.007676238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**3 + 2. What is n(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4\/37  (b) 4\/3  (c) 10  (d) -11\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/864 or 16\/3?\nAnswer: -1\/864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6974*k + 5183*k - 6204*k + 22469*k + 14772*k - 5304*k)*(2 - 5 + 1) to the form f*k + l and give f.\nAnswer: -75780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13031\/20 - -2607\/4. Let 0*g - 4\/5 + z*g**2 = 0. Calculate g.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2194 = 3*f + 2*p, -459 = -3*f + 2*p + 1739. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = -3*j + 9, 4*s - j - 16 = j. Solve s*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -8 and 95.033.\nAnswer: -760.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 0*s - 36 = 0. Let l(w) = -33*w - 10. Let t be l(-1). What is the second derivative of -t*y - 2*y + 10*y**2 + s*y wrt y?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n**4 + 2*n**4 + 2*n**4)*(5 + 0 - 4) + 19*n**4 - 2*n**4 - 7*n**4.\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5\/(-3) - (-2)\/2. Let t = 0.59 - 0.99. What is the nearest to b in t, -0.3, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -7242069 + -1?\nAnswer: -724206a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 0*w**2 + 13\/2*w - 1\/2*w**3 - 6 = 0.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -180*y**3 + 81*y**2 - 81. Let l(g) = -9*g**3 + 4*g**2 - 4. Give 4*d(h) - 81*l(h).\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 81*p + 240. Suppose -10*k - 26 = -12*k. What are the prime factors of q(k)?\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 33091*7.6\nAnswer: 251491.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 7\/15 of a day?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 35*a - 5. Let y(c) = -206*c + 8. Let r(z) = -85*z + 3. Let d(k) = 7*r(k) - 3*y(k). Give -8*d(f) + 5*i(f).\nAnswer: -9*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3\/65 + 97\/715. Which is the nearest to -2\/3?  (a) 1  (b) o  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -379*m + 382*m - 2 = -2*s, 4*m + 2*s - 2 = 0. Let i = -15 + 23. What is the closest to 2\/7 in -0.4, m, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 - 3011222?\nAnswer: -3011231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -474 smaller than -473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3308 or 5161680\/1561?\nAnswer: 5161680\/1561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nwajiajiwiwwwwvja. What is prob of picking 3 a?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -b**5\/5 + b**4 - 7*b**3\/5 - b**2\/5 + 8*b\/5 - 4\/5 = 0. What is b?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 48\/(-14)*(-294)\/28. Let u = 18 - z. Let k = 50 + u. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -456*p**3 + 10*p**2 - 59*p + 33. Let u(w) = 228*w**3 - 5*w**2 + 29*w - 18. Let b(m) = -6*j(m) - 11*u(m). Find the third derivative of b(k) wrt k.\nAnswer: 1368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8)\/4*10\/(-4). Suppose -2*v - 67 = -r*v + 5*n, 2*v - 4*n - 46 = 0. Suppose -v = 2*w - 111. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 258, -0.7154, 4\/3 in ascending order.\nAnswer: -0.7154, 4\/3, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -32*h**3 + h**2 + 2*h + 2. Suppose 0 = 3*z + 26 - 38, -11 = -5*f - 4*z. Give l(f).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 15 and 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**2 + 18*h - 16. Let j(c) = c**3 + 6*c**2 + 3*c - 7. Let s be j(-4). Let i be f(s). Find the first derivative of i*z**3 + 2 - 52*z**3 - 5 wrt z.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j + w + 18, -12 = -6*j + j + 4*w. Calculate the smallest common multiple of j and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 + -1.92. Let p = u - 5.08. Let d = 4 + -4.6. Put p, d, 2 in decreasing order.\nAnswer: 2, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-12) - (-75)\/9. Suppose -6*x = -2*x - j. Suppose 2*o = -x*o + 4. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 705 + -751. Put i, -5, 2 in decreasing order.\nAnswer: 2, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 65510, 131019, 196530, 262043, 327558, 393075, 458594?\nAnswer: 524115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -3*i**2 + 11*i - 14. Let l(r) = r**2 - 4*r + 5. Let a(g) = 17*l(g) + 6*s(g). What is a(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 36 = -i, 2*i = 3*z - 0*z + 7. Solve -i*r = -9*r - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mfcl when four letters picked without replacement from {c: 1, m: 1, l: 1, f: 1, p: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -4822, -6166, -7940, -10138, -12754?\n\"Answer: q**3 - 221*q**2 - 688*q - 3914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 568 and 1048.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*f - 140 = -11*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 793047 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 72800087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*m**2 + 0 + 0)*(0 + m + 0)*(36 - 36 - 6*m) as i*m**2 + k + b*m**4 + d*m**3 + l*m and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-32)\/44)\/((-14)\/77). What are the prime factors of 16\/(-20)*((-8914)\/u + 1)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the third derivative of 0 - 1\/120*o**5 + 1\/3*o**3 + 0*o**4 + 0*o - 2*o**2. Find s such that c(s) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:26 PM and 7:46 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 8172 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4 + 1 - -2)\/(1\/(-3)). Put 12, v, 1 in descending order.\nAnswer: 12, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -318, -409, -510, -627, -766?\nAnswer: -933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1332\/(-8991))\/((-4)\/6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**2 - 5*u + 2. Let s be (40\/12 + -3)*6. Suppose 2*l + 3 - 24 = 3*b, 0 = -s*b + 5*l - 3. Let j be 39\/b - (-9)\/27. Calculate t(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -3*c + 54. Let q be y(21). Let p(j) = -j**3 - 9*j**2 + 11*j + 7. Let u be p(q). Let w = u + 138. List the prime factors of w.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (((sqrt(64)*-3)\/sqrt(8) + sqrt(8)*-2*4)\/(sqrt(4) + 5*sqrt(24)\/sqrt(6) + -3*sqrt(64) + sqrt(64)))**2.\nAnswer: 119\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 17, -0.5, 48, -9, -2\/71?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 878505705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -30287\/14 - -2159. What is the common denominator of -33\/112 and b?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4540 or 4541?\nAnswer: 4541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -1\/2, 19, 0.033, 0.1, 2\/9, 2\/11, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**2 - 9*z - 13. Let m be y(-5). Differentiate -28 - 6 + 4 + m*c**2 with respect to c.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02487798 to five dps.\nAnswer: -0.02488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 17700930?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -29*w + 32*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/r**(4\/15))\/r)\/r*r**(19\/2))**34 assuming r is positive.\nAnswer: r**(4199\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 181, 3, -3, -8, 130\/9, 2, 0.5 in decreasing order.\nAnswer: 181, 130\/9, 3, 2, 0.5, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18*p**2\/13 - 210398*p\/13 + 46756\/13.\nAnswer: -2*(p + 11689)*(9*p - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + -3 + (-1 + 8 - 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 5*p + 6. Let f = 6 - p. Let d(t) = -3 + 2 - 3*t + t - t**2 - 2*t**f. Give d(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 4*m + 2*q - 7, 3*m - 6 = -5*q. What is the nearest to 0 in m, 1\/4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/18*9*-7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -2107*j - 404548. Calculate d(-192).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -14*l**2 + 11*l + 7 + 2*l**2 + 0*l**3 - l**3 + 0*l**3. Let q be v(-12). Let b = -84 - q. What are the prime factors of b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 2*h - 29. Let u be 0 + 3*(-1)\/(-12). Let g = 0.043 + 3.957. Sort h, 0.5, u, g in descending order.\nAnswer: h, g, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/(-6) - (-2)\/4. Let v be (-4581)\/(-33) + k + (-12)\/(-66). Suppose -4 = 9*h - v. Calculate the remainder when 24 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((sqrt(1900) - (sqrt(1900) - (sqrt(1900) + sqrt(1900) + -1 + sqrt(1900) + sqrt(1900)))) + 5 + sqrt(1900))*6*-1)**2*-1.\nAnswer: -27369216 - 230400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 1 + -5 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 431 + 10 = -281*q - 402 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**3 + 18*d**2 - 25*d + 71. What is the least common multiple of 148 and w(-19)?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 99471911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 22947267?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9 - -84. Let i = -71.16 + w. Let p = 0.16 + i. Which is the third biggest value?  (a) p  (b) -4  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1235.\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9114, 18075, 27024, 35955, 44862, 53739, 62580, 71379?\nAnswer: 80130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 + (-7)\/(91\/377)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (24\/9)\/((-2)\/6). Let x = -5 - p. Let v = -38 + 40. Solve -f - x = v*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 3*d = -14. Let w(p) = -4*p + 5. Let t be w(d). What is the units digit of 151*(t - (-8)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 2*w**2\/17 + 7162336*w\/17 + 6412382122112\/17 = 0.\nAnswer: -1790584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x + 2. Let k be r(5). Let c be (1\/k)\/((-4)\/24). Sort 4, c, 0.4 in decreasing order.\nAnswer: 4, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 40 and 610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(325) + 0 - (sqrt(325) + (sqrt(325) - (0 + sqrt(325))) + sqrt(325) + sqrt(325))*6) + 4*sqrt(325)*-3*-5)**2.\nAnswer: 430*sqrt(13) + 600926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 2 = 7*s. Calculate the greatest common factor of s and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 35.7 - 36. Let n = 1 + -0.9. What is the closest to n in 9, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -10923*f**2 + 162724 wrt f?\nAnswer: -21846*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 210 = 3*z + 4*a, -5*a - 6 = -21. Suppose -56 = 2*c - z. Solve 4*i - c*i - 2 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -4*v**3 + 11*v**2 - 11*v. Let q(y) = -y**3 + 2*y**2 - 2*y. What is 2*o(r) - 11*q(r)?\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 57\/3 + -1 + 1. Suppose 18 = k - x. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:21 AM and 9:22 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28416 divided by 111.\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/981 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -32*717\/27 - 3. Let c = q - -860. Calculate the common denominator of c and 2\/3 - (-250)\/(-42).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-85811)\/330)\/29 - 3\/(-18) - -8)*5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.40419 and 0.3.\nAnswer: 0.421257","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Suppose -2*z - 5*i + 78 = 0, -118 = -5*z - 5*i + 47. Let d = z - 88\/3. Let p = -0.91 - 2.09. Which is the closest to d?  (a) 3  (b) -4\/3  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a - 5*x - 897 = -902, 0 = -7*a + 5*x - 41 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p + 29. Is 15 a factor of f(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/150*-23 - -1.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 225119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -2542 (base 7) in base 15?\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3493*s - 45 - 45*s**2 - 41 + 3491*s - 23.\nAnswer: -45*s**2 - 2*s - 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from vhfhhvvvfvh.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that 5*i**2 + 0*i**4 + 15*i**4 + 439*i + 15*i**3 + 5*i**5 - 439*i = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -96, 4, -3, 3 in descending order.\nAnswer: 4, 3, -3, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 73 - -3.564?\nAnswer: 76.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 95 and 372835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.03  (b) 4  (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.007568 rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*h**3 - 7*h**3 - 20*h**3 - 31*h**3 + 15*h**3.\nAnswer: -85*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 4, h: 2, i: 1}. What is prob of sequence hi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - 22 - (-5 - (2 - (1 - 5)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.0677 - -323.9323. Let x = r - 323.809. Let s = -1.389 - x. What is s rounded to 1 decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 90648 is divided by 1822?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8 + 6)\/((-1)\/((-10)\/4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000408117 to seven dps.\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the first derivative of -2\/3*n**3 + 0*n**2 + 0*n**4 + 0*n + 1 + 2\/5*n**5. Find the third derivative of d(g) wrt g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152434 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyyyyyyyqqyyqyqyq. What is prob of sequence yyq?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 3, 704\/5, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.3, 2\/3, -1\/14, 719, -2, 13, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 26*x - 8*x**2 - 27*x - 5 + 3 + (2*x - 2*x + x)*(-3 + 3 + 2*x) + 28*x - 28*x + 4*x**2.\nAnswer: -2*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.2  (b) 6  (c) -0.4  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (6*4\/12)\/1. Let x(d) = 3*d**2 + 0*d**2 - 4*d**k - 2*d**2. Let l(p) = 3*p - p + 0*p. Give x(l(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 561*z**2 + 7*z + 1. Let q(m) = -1125*m**2 - 17*m - 3. Give 2*q(f) + 5*r(f).\nAnswer: 555*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1453665, 2907330, 4360995, 5814660, 7268325?\n\"Answer: 1453665*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 2*g - 6*g. Let y = 8 - 3. Solve g*i - 25 = -y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 - 16 = -12*y. Let z be 6\/(36\/6)*y\/10. What is the third biggest value in 1, z, -14, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 160\/(-160)*(5\/20)\/(1\/((-16)\/(-1)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 251771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -732\/1225357?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 3*b**2 - 18*b + 1. Let k be a(6). Put -4, 4, -9, k in descending order.\nAnswer: 4, k, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -2*f + 3. Let d be k(2). Let p be -2 - (65\/(-13) - -3548). Is p\/((-1)\/d*3\/(-3)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 224 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 17706190 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1802 is divided by 359?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3511 = -176*v - 1047 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 476\/(-52) + (2 - 48\/26). What is the tens digit of (-2)\/u - 17173\/(-117)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1.2 - -1.11. Let x = 0.09 + c. Which is smaller: x or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -34 (base 10) in base 14?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*b + 15*b + 39*b**2 - 11*b - 5*b as l*b + z*b**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 17*a + 68. Is w(12) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1872) - (-2*sqrt(1573) + sqrt(13)) - (sqrt(78)\/sqrt(864) + -5))**2.\nAnswer: 1975*sqrt(13)\/6 + 2031925\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 k when two letters picked without replacement from hpklghgd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, z: 9}. What is prob of picking 2 m and 1 z?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 22, 0, -0.07868?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 39*a**3 + 69*a**2 - 18*a + 8. Let t(w) = w**4 + w**3 - 2*w**2 - 2. Let h(x) = i(x) + 4*t(x). Factor h(d).\nAnswer: d*(d + 2)*(d + 9)*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.0933 in -6, 5, 0.3, -0.72, 1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3631, -14522, -32673, -58084, -90755, -130686?\n\"Answer: -3630*g**2 - g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -41821*x - 167291. Calculate w(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 43.6 - 43.428. Let j = m - -0.028. Which is the biggest value?  (a) -0.12  (b) -3  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 48413, 47827, 47243, 46661, 46081?\n\"Answer: j**2 - 589*j + 49001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.01 from -27.045.\nAnswer: -27.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00054178443 rounded to 6 dps?\nAnswer: 0.000542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*m + 4*m - 4*m)*(0*m + 2*m - 4*m) + (56 - 56 + 38*m)*(0 + 1 + 0)*(-1 + 0 + 3)*(18*m - 325 + 325) in the form b*m**2 + k + n*m and give b.\nAnswer: 1364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**(9\/5))\/g**(-2\/3))**2*(g**0\/g*g)**(-2\/7)\/(g*g**6*g\/((g**(-3)\/g)\/g)) assuming g is positive.\nAnswer: g**(-199\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9486\/665 - -100\/7. Let p = r - 8\/19. Which is bigger: 0.03 or p?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1564 + 2240. Let y = o - 675.9. Let a(h) = -h - 1. Let n be a(1). What is the closest to 9 in n, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 4 - 12 = 0. Let v(w) be the first derivative of 0*w**2 + 0*w**2 - 27 + 9*w**3 - p*w**3 + w**2. Find the second derivative of v(o) wrt o.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 117690162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.055?  (a) 2\/3  (b) -2\/5  (c) -4  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-12)\/(-30))\/((-4)\/(-50)). Suppose 3*s - n*s - 3*d = 3, -d = 1. Suppose -22*z + 10*z + 912 = s. Calculate the remainder when z is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6\/17?  (a) -2.6  (b) 0.219  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.25 - -28.45788972095\nAnswer: 28.70788972095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1260834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 13255469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -439 - -438.6. Let s be (24\/30)\/(2\/10). Which is the second biggest value?  (a) s  (b) -0.1  (c) o  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44\/(-165)*10*3\/(-2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -21407 - -32079. Suppose 6*c - f = -23*c. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32490?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = y - 6*y. Let f = -0.2 + 0.8. Let h = 0.1 - f. Which is the third smallest value?  (a) y  (b) 0  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 6*w + 4. Let o(i) = i + 3*i + 5*i + 7 + 2*i. Let t(v) = 5*h(v) - 3*o(v). Let b be (-38)\/34 - (-20)\/170. Calculate t(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 170*y**2 - 8*y + 2. Let k be a(-4). Let s be k\/(-15) - 4\/10. Let t = -125 - s. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 278, 417, 638, 935, 1302?\nAnswer: 1733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00003400646566 to seven dps.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 4*h - 18 = 0, 2*x + 162230*h = 162227*h + 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 6 - 1) + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 187.6 - 188. Let p = -2 + 1. What is the nearest to -1 in 4\/7, b, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3955449662?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (3\/6)\/(10\/((-40)\/14)). Which is the nearest to o?  (a) -8  (b) -1  (c) 0  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.001 - 2348069166473\nAnswer: -2348069166472.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14579.\nAnswer: 61, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**6)**27\/(z**(-3\/4)*z**(1\/15)\/z))**(-2\/23) assuming z is positive.\nAnswer: z**(-427\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that 170*v**3\/3 - 22824542*v**2\/3 + 255372455298*v - 3004380774 = 0.\nAnswer: 1\/85, 67131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 373460 is divided by 373450.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the second derivative of -2*s**7\/315 - 5*s**5\/24 - 9*s**4\/4 + 24*s. Let a(r) be the third derivative of q(r). Differentiate a(n) wrt n.\nAnswer: -32*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 3*r - 4*r + 4*r. Let b(u) = 228*u - 2*u**2 - 228*u - u**2. Give b(k(m)).\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 21?  (a) -2\/5  (b) 15  (c) 409\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 11110010101101111 (base 2) in base 10?\nAnswer: 124271","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*m = 5 - 125. Suppose -19 = 5*y + 6, t + 3 = -2*y. Differentiate -t*d + 1 - 3 + m with respect to d.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*i - 34*i - 22*i**4 - i + 5*i wrt i?\nAnswer: -264*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -777190*c + 777190*c + 2*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/48*2\/4. Suppose -4*p + 2*t + 28 = 0, v*p - 2*p - 5*t = -26. Solve p = -3*c - 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 7*y**3 - 3*y**2 + 2*y - 1. Let v(s) = 16*s**3 - 6*s**2 + 3*s - 3. Give 5*g(u) - 2*v(u).\nAnswer: 3*u**3 - 3*u**2 + 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -51*i*t**2 + 16390*i*t - 8089540*i - 4*t with respect to t.\nAnswer: -102*i*t + 16390*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -766677, -1533353, -2300029, -3066705, -3833381?\n\"Answer: -766676*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, 2\/27, -0.3, 62\/83?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 3737, 3727, 3683, 3587, 3421, 3167, 2807?\n\"Answer: -3*g**3 + g**2 + 8*g + 3731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 - 1.5. Let m = -3.5 - 1.5. Let l = m - -9. What is the second smallest value in -0.3, o, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 281 equal to 248142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p\/(p\/p**19)))\/p*p**(-1) assuming p is positive.\nAnswer: p**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -63*f - 470. Let q be a(-10). Solve -21*t + 101*t = -q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1.33029018418169 and -0.3?\nAnswer: 1.03029018418169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 37476591*r*z - 4396208*z + 3 wrt r.\nAnswer: 37476591*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8 and 3208.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 909742046.\nAnswer: 2, 17, 23, 1163353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -656225102 + 4?\nAnswer: -656225065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 246306 is divided by 317.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -166 - -169. Suppose -t*o = -77 + 68. Solve d - 2 + 3 = -u, -o*u - 1 = d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 5, d: 5, v: 2, y: 7}. Give prob of picking 1 d and 2 v.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zoo when three letters picked without replacement from {r: 5, o: 4, z: 5}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101 = 3*v - 196. Suppose 4*j - v = -5*c, -14 = 5*c + 11. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b, 1 g, and 1 e when four letters picked without replacement from {e: 2, g: 2, b: 9}.\nAnswer: 144\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05212551 rounded to four decimal places?\nAnswer: 0.0521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -2*d**2 - d + 330. What is s(-27)?\nAnswer: -1101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 115658 + -12309. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3997510 rounded to the nearest 10000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 100*a - 1419 = -219 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(2\/5))**50*l**(3\/10)\/((l**(1\/10)\/l*l)\/l))**(1\/43) assuming l is positive.\nAnswer: l**(106\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104 = 3*p + 32. Is -3 - 6\/(p\/(-1036)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3 or -163\/57?\nAnswer: -163\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 - 2*m**2 + (5*m + 5*m + m)*(0*m - 8*m + 0*m).\nAnswer: -90*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 64 - 36. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 33248 by 1039.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -19 - -22. Is 6620\/(-6)*c\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -2 + (2 + 1 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 150906 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = -3*v + 4*f, -14*f + 42 = -3*v - 13*f + 68 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10925*j**4 + 39095*j**2 wrt j?\nAnswer: -262200*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 4*r**3 - 2*r**2 - 2*r + 1. Let f(y) = -y**3 - y**2 - y + 1. Let c be (777\/333)\/((-7)\/6). What is c*f(h) + b(h)?\nAnswer: 6*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -28675*j. Let c(x) = 8*x**2. Calculate g(c(z)).\nAnswer: -229400*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*b = 3*n + 10*b - 967170, -2*n + 5*b + 644759 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-16))\/((-122)\/1464)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6180\/4532*(-8)\/(-30)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*q**3 - 19*q**2 - 4*q**3 + q**6 + 6*q**3 wrt q.\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/23)\/(k\/(k**(1\/18)\/k*k)))\/(k**2*k)**43 assuming k is positive.\nAnswer: k**(-53815\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 379 not equal to 379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-10)*g)\/(g**(1\/21)\/g))**(4\/25) assuming g is positive.\nAnswer: g**(-676\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h = 51 - 51 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 19 - 154?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:34 PM and 2:00 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 - (-4 + -3 - -8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 - 21*s**2 - 73*s + 18. Let r be o(24). Let x = 1 + 4. Put x, 0.3, r in descending order.\nAnswer: x, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**3 - 9*i**2 - 7*i - 8. Let l be s(10). Solve 5*m + 0*t + 2*t + l = 0, 0 = -4*t - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 32051458?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 4809+859.7\nAnswer: 5668.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 - (1 + 0))*(-5 + 6). Let i be 4 - (7 + q + -4). Let g(n) = 11*n**2 - n + 1. What is the tens digit of g(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.5 + 0.4. Suppose 1 = -h, 0 = -o + 2*h + 2 + 6. Let m be ((-24)\/9)\/4*o\/4. What is the biggest value in m, -0.3, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 4, q: 2, r: 2, z: 8, l: 4}. What is prob of sequence qzol?\nAnswer: 32\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*h = 11*h - 150351. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 423936320*t**3 + 423475920*t**2 - 460275*t + 125.\nAnswer: 5*(t + 1)*(9208*t - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j + 254. Calculate w(-8).\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/15 - 1) + (-4)\/(-2)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 159771a (base 11) in base 5?\nAnswer: 1144000040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the third derivative of 7*b**6\/24 + b**5\/6 + 3*b**2 - 6*b. Find l, given that z(l) = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -4*p + 6. Let y be 4\/(-22) + 68\/11. Let n(m) = -m + 1. Give y*n(l) - v(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 10 - 20. Let b(s) = 5*s - s - 1 + 3*s**2 - p*s**2. What is the remainder when 13 is divided by b(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -113942 greater than -113943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -76794 divided by 1?\nAnswer: -76794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1110010100 (base 3) to base 13\nAnswer: cc9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3848378, -7696755, -11545132, -15393509, -19241886?\nAnswer: -23090263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -23163\/8 - -2896. Which is smaller: r or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -97 - -96.7. What is the second biggest value in -5\/19, l, -1\/7?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.0374 and -265?\nAnswer: 265.0374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 3*a = -6. Let z(u) be the first derivative of 0*u**2 + 1\/10*u**5 + 1 - 5\/16*u**4 + 1\/6*u**a + 0*u. Factor z(m).\nAnswer: m**2*(m - 2)*(2*m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-52 + 3250\/52)\/(-3*2\/4). Let k(f) be the second derivative of -f**3\/6 - 3*f**2\/2 + f. Determine k(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001101100100101010101 + 1001111?\nAnswer: 1001101100100110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -25403719*h**2*m**2 + 2*h**2 - 3*h*m**2 - h*m - h + 76*m**2 - 2*m + 491 wrt h.\nAnswer: -50807438*m**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8092\/1157 or -8?\nAnswer: -8092\/1157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12 by 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 - 125250?\nAnswer: -125253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the first derivative of -3*d**4 + 1320*d**3 - 324711*d**2\/2 - 328683*d - 952. Let v(r) = 0. Calculate r.\nAnswer: -1, 331\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*q = -2*g - 28, 3*q + 75 = 21*g + 157 + 16 + 52 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1306.\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 366127062 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 28\/(-42)*(6 + 4212\/(-72))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) 282  (c) 4  (d) 1  (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let 11\/2 + 6*q + 1\/2*q**2 = 0. Calculate q.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 44*14\/(-77) - -29.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 3 = 3*c + f, 2*c = 5*f + 2. Let v(l) = -13*l + 1. Determine v(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14.09 + 14. Let a = -0.11 - k. Which is bigger: 0.1 or a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -49, -106, -163, -220, -277?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 4*p - 150. Calculate the remainder when p is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2, 0.1, -60768 in increasing order.\nAnswer: -60768, 0.1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 - 0. Suppose -r*a + 384 = -0*a. Let m = -2 + 14. Calculate the greatest common divisor of m and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -3*p - 72. Let h be m(-21). Let g = h + 23. Put 2\/7, 1, 0.5, g in decreasing order.\nAnswer: g, 1, 0.5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 - -4. Which is the third biggest value?  (a) 5  (b) 0  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1060 + 527 + 13*u + 533.\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 50731977815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -15\/539 and 52\/54279.\nAnswer: 29256381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 2*s**3 - 11*s**2 + 6*s - 1. Let k be f(5). Suppose -5*v - k*v = 36. Let n(t) = t**3 + 3*t**2 - 4*t. Let o be n(v). Solve o = -0*j - 3*j - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 267.\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k + d - 65 = -68, 0 = 2*k - d - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are 719 and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 10747391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 43, 83, 117, 139, 143, 123, 73?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3362 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3269*f - 430650 = -937*f + 3102*f - 649*f for f.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 1  (b) -0.2  (c) 0  (d) 51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 20210 (base 3) in base 7?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6204.15 - 6204.05. Let k = -0.03 + 4.03. Let y = 0.7 + 0.3. Put 2\/7, k, s, y in increasing order.\nAnswer: s, 2\/7, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 33*(-2)\/(-18) + 2\/6. Suppose -4899 = -5*q + y, -y = -f*q - 6*y + 3896. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/(-2)*(-14)\/21. Let q(x) = -71. Let k(d) = d - 3. Let u(s) = 4*k(s) + q(s). Let n be u(20). Which is the third biggest value?  (a) n  (b) -4  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12413909119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**2 + 4*c - 4. Let r be h(3). Let z be r*5\/(10\/(-12)). Let q(p) = -2*p + 8. Determine q(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -2*n - 8, -n + 0*n - 22 = 4*a. Let f(t) = t**2 + 5*t - 5. Let v be f(a). What is the units digit of v\/3 + (-8)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -272*o + 188*o + 43*o.\nAnswer: -41*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -13\/7*a**2 - 1\/7*a**4 - 4\/7 - 12\/7*a - 6\/7*a**3.\nAnswer: -(a + 1)**2*(a + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -645*k**3 + 78*k - 78*k.\nAnswer: -645*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 38096877, 76193746, 114290617, 152387490, 190484365, 228581242, 266678121?\nAnswer: 304775002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1118 and 4898646.\nAnswer: 63682398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j - j - 2*j + 1)*(357*j**4 + 763*j**3 - 763*j**3).\nAnswer: -714*j**5 + 357*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 21229 and 34577?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*l**3 + 151 + 3*l**3 + l**3.\nAnswer: -2*l**3 + 151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 + 8. Let z = -6 + j. Factor 23*p**4 + z*p**5 - 26*p**4 + 3*p**3 + 3*p**2 - 3*p**5.\nAnswer: -3*p**2*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -29.0175417 rounded to 2 decimal places?\nAnswer: -29.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2 - 4)*(-3*i + i + i) + 86*i - 95*i + 0 + 4.\nAnswer: -10*i + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w = -3*q + 7, 2*w + 946*q + 17 = 943*q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Is 65 a factor of 22002158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 388 a factor of 960090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 - 1 - (372 + -350)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 + 0. Suppose -4*t + 2*q + 30 = 0, 4*t - 6*q = -z*q + 20. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-87)\/12294)\/((-4)\/2494). Let q = 23375 + -15965128\/683. Let v = r - q. Find the common denominator of v and 33\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 10 = i + f, -i + 280 = -2*f + 286 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 24, 7, -10?\n\"Answer: -17*u + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -5*v + 22. Let i be k(0). Suppose 0 = 4*c + 4*w - 40, 0 = -3*c - w - 0*w + i. Suppose 5*t - 4 = 1. Solve n = c - t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50 + 71 + 60*d - 121.\nAnswer: 60*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2, -3, -709, -1260 in decreasing order.\nAnswer: 3, -2, -3, -709, -1260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000001279556 to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o + 3*t + 1244, 373 + 239 = 2*o - 4*t. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((2040\/(-100))\/(-17))\/(4\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o - 1. Let c(r) = -2*r. What is -2*c(m) - 2*k(m)?\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 2*r - 1. Let x be n(-5). Let k(y) = -23*y + 14. Let j be k(x). Suppose 4*i - s = j, -4*s = -5*i - s + 332. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -647 + 13*p**2 + 647.\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (-12 + (0 - -9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/2, 35, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 269 + (3 - 57\/15)*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -221129113 < -221129115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 3*w = 5*i + 1290, w = 4*i + 317. Suppose -17*n + w = -22*n. Let t = 51 + n. Is 0.1 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*u = 4*a - 49*u, 0 = 4*a - u - 25. Solve 141 = 52*o - a*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2405884 rounded to 3 dps?\nAnswer: -0.241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -6*x**2 + 1887*x - 12381. What is o(308)?\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 98.13879nm in millimeters?\nAnswer: 0.00009813879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 50074458 to the nearest one hundred thousand.\nAnswer: 50100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 5 - 4)*(-10*j - 53 - 587*j + 56).\nAnswer: 597*j - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 108\/3 + -12*(-2)\/8. Calculate the highest common divisor of 117 and d.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 153.895 centuries to decades.\nAnswer: 1538.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.240669 micrometers in kilometers?\nAnswer: 0.000000004240669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c - 105. Let f(o) = -57*o**2. Give i(f(h)).\nAnswer: -57*h**2 - 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 732.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14 - 53 - 2*f**3 + 18 + 14 - 14 + f**3 + (2*f - 3 + 3)*(-f**2 + f**2 - f**2) to the form i + c*f + p*f**2 + o*f**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 93*y**2\/8 + 5809623*y\/8 + 187407\/4 = 0.\nAnswer: -62469, -2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Is 40911107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 + 4 - 4)*2. Let n(g) = 5*g - 2. Give n(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*q**2 + 0*q**2 - q**2 - 5*q**2 + 0*q + 0*q + (0 + 2*q + 0)*(-4*q + 0*q + 2*q) to a*q**2 + x + l*q and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 - -2726126?\nAnswer: 2726124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 151 - 143. Solve -8*h + 0 + p = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -1, 5, 1, -5 in increasing order.\nAnswer: -5, -1, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**2 + s. Let t(g) = -5*g**3 - 3*g**2 + 5*g - 2. Give 5*q(h) - t(h).\nAnswer: 5*h**3 - 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - (-49 + -6 + -26)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 669242 and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4783, -3, 3, 1\/5, 2, 3\/2, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 755319 and 31870.\nAnswer: 7553190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3528952.\nAnswer: 2, 7, 29, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-48))\/((32\/(-144))\/((-40)\/(-12)))\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 23*r + 393. Calculate the remainder when 393 is divided by m(-14).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -18*r - 3. Suppose -1244*s - 12 = -1232*s. What is a(s)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 673024302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3878, 3876, 3874, 3872, 3870?\nAnswer: 3868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 + 10. Solve k + l = 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 0*a - 3*a + 2*a. Let x(g) = -2*g**2 + g. Let v(n) = 17*n**2 - 4*n. Let z(h) = -v(h) - 4*x(h). Determine u(z(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*h + 10*h = -3*r + 16, -3*r - 5*h + 32 = 0. Let b(m) be the second derivative of 2\/3*m**3 - m**2 + 0 + 4*m - 1\/6*m**r. Factor b(j).\nAnswer: -2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12.28 - -0.28. Let w = t - -12.2. What is the third biggest value in 3, -1\/13, w?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -3\/640?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r - 3*r - 8 = 0. Let y(d) = 3 - d**2 - 13*d + 3*d + 0*d**r. Is 12 a factor of y(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 2*p**2. Let h be j(-2). Let y(m) = -m**3 + 7*m**2 + 9*m - 3. Let x be y(h). Suppose 7 = -x*o + 22. Solve -7 - o = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 18 = 4*f, -219*f + 220*f - 14 + 5 = 2*w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 6 - -271?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 5, g: 5, h: 2, r: 3}. What is prob of sequence hor?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a + 143. Let v be b(132). Solve 6 = -3*f - h + 10, -4*h - v = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2896 - 1036?\nAnswer: 1860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73 = -458281*q + 458094*q + 4935 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2537341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/8*1\/5*85\/17\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t - 3 - 17 = 5*w, 0 = -t - 2*w - 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - 3*x + 10 = 0, 58*u = 57*u + x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 - 689070?\nAnswer: -68906a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -45 - 93?\nAnswer: -d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y + 141 = 10*y. Calculate the remainder when 185 is divided by y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 2922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 37274 (base 9) to base 2\nAnswer: 110000110110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10?  (a) -4  (b) 0.3  (c) -5\/4  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -16 + 33. Let u = -3 + l. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 1 a when three letters picked without replacement from awasaerese.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*o + 2*o - 54. Let w(j) = -5*j**2 - 2*j - 1. Let p be w(-2). Let x = o + p. Solve u = -u - x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*k + 0*k + 147 - 65 - 10 - 7*k**2 in the form d + o*k + f*k**2 and give d.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1.1  (b) 0.4  (c) 4\/5  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6097*f**5 - 3*f**4 - 3*f**3 - 282*f**2 + 880*f wrt f?\nAnswer: -365820*f**2 - 72*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:20 AM and 2:20 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - 5*u + 634 = -4*l, 3*u + 2*l = 398. Let k(p) = 3*p**3 + 2*p + 3. Let s be k(-3). Let v = u + s. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 5 - 345. Let t = -28 - z. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 3\/2, 1\/7, 1, -0.38?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-2) - (6 - 7)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 2*u + 2 = 0. Suppose 2*l + h = -2*h + 5, 7 = u*l + h. Suppose 5*x = 2*z - 31, l*x = 3*z - x - 34. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 2*x - x + 2*x. Let v(o) = -6*o + 3*o + 2*o. Calculate h(v(k)).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*j - 3 + 96*j**4 + 180*j**3 + 10 - 181*j**3 - 97*j**4 - j**2 - 6*j to u*j**3 + q*j**2 + i*j + k*j**4 + z and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -127.6 + 139. What is v rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4 - 0)\/(1 - -1). Let d = -7 + 7. Suppose 0*l + 3*l = -j + 12, d = -4*j - 3*l + 30. Solve j*v - m*v = -h + 24, -3*v = h - 19 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3 - ((-33540)\/(-8613) - 3). Let d = f + 5\/957. Calculate the common denominator of 22\/19 and d.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1126 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: b\"What is the ith term of -91031, -91028, -91007, -90962, -90887, -90776, -90623?\n\"Answer: i**3 + 3*i**2 - 13*i - 91022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 50*k. Let t(z) = 17*z. Calculate 4*a(u) - 11*t(u).\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rbabrrboqar. What is prob of picking 2 b?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 466791917 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17 - -33) + (-5 - -1) + -15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 1457016*w - w**2 - 728507*w - 728509*w. Let h(p) = -3*p - p - 1 - 5. Give c(h(o)).\nAnswer: -16*o**2 - 48*o - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*h**4 + 6*h**4 + h**2 + 2 + 4*h**4 - 12*h + h**3 to l + m*h + y*h**2 + b*h**3 + d*h**4 and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 130.155714 nanoseconds in days?\nAnswer: 0.000000000001506431875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) 22  (c) 0.2  (d) 4366\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11268387.\nAnswer: 3, 13, 19, 37, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**4\/5 - 96*i**3\/5 - 664*i**2\/5 - 1056*i\/5 - 484\/5.\nAnswer: -4*(i + 1)**2*(i + 11)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = o - 22137, -1344*o - 44274 = -1346*o - h. What are the prime factors of o?\nAnswer: 3, 47, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -4 + 441*4\/320 and -1 + 0 + (-153)\/(-60)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1124898 take away -0.3?\nAnswer: 1124898.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7695.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -186, -375, -564, -753, -942?\n\"Answer: -189*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -3, 10, 47, 120, 241, 422, 675?\n\"Answer: 2*p**3 - p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1928 - -3837. List the prime factors of p.\nAnswer: 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1110)\/24 - -4 - (-6)\/(-8). Let p = 45 + f. Suppose -12 = -p*v - q - 3, -2*v - 2*q + 12 = 0. Solve 4 - 1 = -v*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 2 = -2*r, 2*a = -9 + 3. Suppose -2 = r*w - 28. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5522 take away -0.48?\nAnswer: 5522.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 3*n = -61 + 22, 2*v - 26 = -n. Suppose t = 4*x - 9, x = -4*x + 3*t + v. Which is the second biggest value?  (a) 1  (b) x  (c) -0.2  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5199)\/(-8085) + 2\/(-5). Let m = 78\/7 + -543\/49. Let b = m - z. Which is greater: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*l**3 + 0*l**3 - 2*l**5 - l**2 + l**2 + 2*l**5 + (-11*l**4 - 15*l**4 - 2*l**4)*(5*l - 3*l - l).\nAnswer: -28*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1670 + 958. Let v = y + 771. Calculate the remainder when 169 is divided by v.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3 - 8) + 11 + 2. Suppose -7*o = -q*o - 2540000. What is o rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -2*h**2\/11 + 34926*h\/11 - 1463364\/11 = 0?\nAnswer: 42, 17421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.09 times -11.2?\nAnswer: 1.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zjnn when four letters picked without replacement from {z: 1, j: 2, n: 7, k: 6, w: 3}?\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -21 + 56. Suppose 62 = 3*l + 2*d, 0*d - 4*d = -2*l + 36. Let x = c - l. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + -7 - (-36 - -20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -325*y = -319*y - 7248. Suppose -9*d + 3467 = y. What are the prime factors of d?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1162, -1180, -1210, -1252, -1306?\n\"Answer: -6*f**2 - 1156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the first derivative of -j**3\/3 + 2*j**2 + 21*j - 19. Let a be r(7). Solve -2*c - 2 = -2*m - 4*c, a = 4*m - 4*c - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-2\/3))**16*x*x*x**(-7\/3)*x**(4\/9) assuming x is positive.\nAnswer: x**(-95\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 583 or 1?\nAnswer: 583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -5, -16, -27, -38, -49?\n\"Answer: -11*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 52 = -7. Suppose -5776 = -m*x - x. What is the remainder when x is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3\/2 + -2. Let v = -114\/13 - -1013\/117. Put -2\/9, v, f in ascending order.\nAnswer: f, -2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1323\/2638 + -2\/1319. Factor 0*g - v*g**2 + 2.\nAnswer: -(g - 2)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1111232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the third derivative of o**6\/40 - 5*o**5\/6 - 1565*o**3\/6 - o**2 - 3. What is the first derivative of t(n) wrt n?\nAnswer: 9*n**2 - 100*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 80 + -45. Let u be -171*(((-58)\/(-6) - 5) + -5). Let h be u\/4 + 0 - 3\/12. Calculate the highest common factor of h and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) 0  (b) -1.1  (c) 4  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 + -6. Suppose h*o = 32 - 2. Suppose 0*m = -3*m + o. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one tenth of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 1786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(245) - -4*(sqrt(245) + 2) - (sqrt(3520)\/sqrt(11))**2*1) + -1.\nAnswer: -175*sqrt(5) + 1559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -30\/413 - -473\/826. Let h = 3.5 - 0.5. What is the nearest to d in h, 0.16, 0?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 142503.\nAnswer: 3, 47501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + -1 + -28 + 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + k = -463, 40 = -z + 5*k + 132. What is the remainder when z is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 5668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -11422, -24869, -38316, -51763?\n\"Answer: -13447*n + 2025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is c3d6 (base 16) in base 4?\nAnswer: 30033112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*3*-4*((-4 + ((1 + sqrt(704))*-3 - sqrt(704)))*-3 + 4))**2.\nAnswer: 691200*sqrt(11) + 14688144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 29 = 7. Calculate the lowest common multiple of 24 and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes after 7:33 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**3 + 3*k**2 - 5*k + 2. Let v(d) be the third derivative of -d**6\/120 + d**5\/60 - d**4\/24 + d**3\/6 + 7872*d**2. Give 3*v(b) - z(b).\nAnswer: -2*b**3 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -7 + (-5 + 0)\/1. Let o be (d\/(-15))\/((-8)\/5 - -2). Let m(z) = -16*z + 11. Let i(h) = 3*h - 2. Let p = -13 + 24. Determine o*m(q) + p*i(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:58 PM and 6:06 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 69583036, 69583037, 69583038?\nAnswer: 69583039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 - 158551141036.\nAnswer: -158551141035.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(((sqrt(78) + (3*sqrt(78) + sqrt(78) - sqrt(78)))*6 + sqrt(78) - sqrt(78)) + sqrt(78) + sqrt(78))\/(sqrt(384)*-1).\nAnswer: -13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 547887454?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of 31*u**4\/24 + 10*u**3\/3 - 10*u**2 + 15. Let t(o) be the second derivative of d(o). Differentiate t(m) wrt m.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = -3*t - 5*m, 3*t + 2*m - 7 = 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13, 15, 17, 19?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8264 is divided by 8261?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 7 - (-599 - -3) - -8. Let o = l - -18. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 + -5. Let r be (-46)\/6 - 1\/h. Let o = -4 - r. Solve -1 + 5 = -o*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -4, 5, 227, 6, 1 in increasing order.\nAnswer: -4, -2, 1, 5, 6, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**3 + 12*v**2 + 10*v - 36. Let p be h(16). Let i = -16195\/18 - p. Let m = -2759\/57 - 11\/114. What is the common denominator of m and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.1, 10, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(-5) + 17\/(-5). Let t = -4 - a. Let k be ((-6)\/(-26))\/(3\/2). What is the biggest value in t, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 8) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 552 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes before 8:28 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 74.55 + -67.55. Which is the closest to 0.25?  (a) -3  (b) -1\/2  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 24695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 9797755 to the power of 1\/2, to the nearest integer?\nAnswer: 3130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*n**3 - 40*n**2 + 295*n - 390.\nAnswer: -5*(n - 3)*(n - 2)*(n + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*r**4 - 3 - 8*r**2 - 9*r**4 + 2 + 0 to the form p*r + y*r**4 + d*r**2 + a*r**3 + x and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.1, -1\/3, -3, -0.0074608?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -37 - -77. Suppose -3*h = 2*h. Suppose 3*g + 2 - 26 = h. Calculate the highest common factor of g and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) -8  (c) -4  (d) -152\/9  (e) -0.1  (f) 101\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-4)\/6)\/((-2)\/12). Suppose 0 = 5*r - j*t - 672, 4*r + 10*t = 5*t + 513. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3, -2, -0.1, 2\/77, 2\/3, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 12751601 + -1?\nAnswer: 12751600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b - 2*u - 1061 = -1040, 4*b + 26 - 29 = -3*u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 192*t*x**2 - 604717*t + 1026558330*x**2 wrt t?\nAnswer: 192*x**2 - 604717","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 27292, 27257, 27224, 27193, 27164, 27137?\n\"Answer: l**2 - 38*l + 27329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {a: 3, d: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4070600993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/3, -110, 0.3?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3 - 0)*(-40)\/60 + 8. Suppose 0 = i*s - 1298 - 32. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.4 - -3.6. Let c = h - 4.7. Let g = -37.935 + 38.235. Put g, -4, c in descending order.\nAnswer: g, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 877 + -838. Solve g*b = 32*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 - 0. Let d(g) = -4*g - 5 + 12*g + 0*g**2 - g**2. What is the remainder when d(h) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aoakkkakakakok. What is prob of sequence kook?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 5*z - 0*l + 89, -4*l - 25 = z. Put -3, z, 1 in increasing order.\nAnswer: z, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.0749859ml?\nAnswer: 0.0000749859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does -0.17399 = 8\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 0 = -v. Let o be (9\/(-15))\/(v\/210). Calculate the remainder when 15 is divided by 238\/o + (-4)\/(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.07556 litres in millilitres?\nAnswer: 6075.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/(-110)*275\/(-11)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1677188665 take away 15833?\nAnswer: -1677204498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 23, -4, 43, 4 in decreasing order.\nAnswer: 43, 23, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -30a (base 15) in base 10?\nAnswer: -685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 1 o when three letters picked without replacement from feoeeffofofefeoeeeee?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-47)\/(-47))\/(13\/3).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 14) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 - 8.02. Let q = b + -0.08. Are 0.03 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3671.334 micrograms in tonnes?\nAnswer: 0.000000003671334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*w + 4 + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**3 + 6286246*d**2.\nAnswer: -2*d**2*(d - 3143123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**3 - 2*y**2 + 4*y - 1. Calculate the common denominator of x(3) and -93\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 13\/5 of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 25\/3 - 7\/21. Let f(c) = c**2 - 9*c - k - 11*c**2 + 3*c**3 - 4*c**3. Is f(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.0891 to one decimal place.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -39044985 divided by 5?\nAnswer: -7808997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 0.02, 283, 4\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 + -8. Let m = 6 - -3. Let j = m + b. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**3 + 14*i**2 + i - 9. Let b be w(14). What is the first derivative of -9 - 6 - 68*s + b wrt s?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 - -1*(2 - 0). Suppose 24*h = 20*h + 16. Suppose -216 = -4*p - h*n, -3*p - v*p + 294 = -3*n. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 262 a factor of 74054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -12\/5, -1\/3, -1\/4, 0.3, -1\/6?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from uuuurruuuruu?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 383408*n - 3*n**2 + 383679*n - 767087*n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 224589 is divided by 1172?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqa when three letters picked without replacement from eqryrrjeqrea?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 1310*z + 729*z + 16*z + 601*z + 2229*z as n + r*z and give r.\nAnswer: 4885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 35*z**5 - 430*z**4 + 470*z**3 + 320*z**2 - 505*z + 110 = 0?\nAnswer: -1, 2\/7, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 816 = 4*m, -3*m + 0*z = 3*z + 627. Let p = -115 - m. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 124 + -189. Let k = q + 108. What is the remainder when 85 is divided by k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2952 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x = 5*p - 9*p + 4, -9 = -5*p + 4*x for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3970522065 to the nearest integer?\nAnswer: 1583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -3 + 13. Suppose 5*l - 13 = -2*f + 3*f, c = 4*l + f. Is (-2)\/(l\/(-255)*3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -31521*h**2*k**3*n**3 + 3*h**2*k**3 + 2*h**2*k**2*n**2 + 56*h**2*k - 39*h*k**3 - 15*k**3*n**3 - k**3*n**2 + 4*k wrt n.\nAnswer: -189126*h**2*k**3 - 90*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(0 + sqrt(468) - sqrt(468)) + sqrt(468) + sqrt(468))**2*6.\nAnswer: 11232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 3*-4*(-7)\/28\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.179 + 0.079. Let h = -3167\/8 + 396. Which is the third smallest value?  (a) h  (b) -1\/27  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 963 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: Suppose 5*k - 505 = -5*d, 191 = 3*d + 5*k - 118. Suppose 5*y - 2*l = 163, 2*y + 4 = l + 70. Let c = d + y. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -3*s. Let m(h) = -3*h + 3*h**2 + 4*h - 2*h**2. Let a(j) = 3*j - 126*j**2 + 21*j + 154*j**2. Let x(t) = -a(t) + 24*m(t). What is c(x(g))?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77) - 4*sqrt(77)*-2)\/(3*(sqrt(176) + sqrt(11))) - ((sqrt(441)\/sqrt(7)*-3)\/(sqrt(9) + (sqrt(63)\/sqrt(7) + sqrt(9))*-1))**2.\nAnswer: -63 + 3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 + 6504?\nAnswer: 6505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 17*j. Let f(o) = -7*o. Let r = 37 + -36. Let x(b) = -b + 1 - r. Let d(m) = -f(m) + 5*x(m). Calculate p(d(w)).\nAnswer: 34*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -9644500 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 402*c**2 + 414*c**2 - 830*c**2.\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**4\/(g\/g**(-5))*(g**(-2)*g)**(2\/43)*(g**(1\/2))**42\/(g**5*g**(-2)) assuming g is positive.\nAnswer: g**(686\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 76793, 76844, 76927, 77042?\nAnswer: 77189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (58\/8)\/(-22 - (-1305)\/60)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1140 - 546. List the prime factors of m.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6920.19342 seconds to weeks.\nAnswer: 0.01144211875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**2 - 5*n - 5. Let y be h(-4). Let w be (-2)\/(6\/9*-1). Suppose -w*p = -2*f - 22, -f + 0*p - 2*p + 3 = 0. Sort f, -2\/3, y.\nAnswer: f, y, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes before 3:21 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.322 - 0.022. Sort 4\/7, a, -3, -2 in descending order.\nAnswer: 4\/7, a, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-3 + sqrt(539)*-4)**2 + ((1 + sqrt(99))*-2 - sqrt(99)) + (sqrt(99) + -3 + 2 + sqrt(99))**2.\nAnswer: -8238 - 189*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -9, -0.2, 1, -11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are -186242 and -558728\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and -27406991.2.\nAnswer: -27406991.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 - -122120223?\nAnswer: 122120220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h - 8*h + 84. Suppose h*j - 5*j = 3573. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 358124 to the power of 1\/2, to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2907307862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (3 - (2 - (6 - 19))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -311.7 + 326. Let o = -14 + q. Sort 2, 4, o in descending order.\nAnswer: 4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -58, -51, -42, -31, -18?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21\/14944, 0.4, 5, 0, -3 in decreasing order.\nAnswer: 5, 0.4, 21\/14944, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 68462995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 2*r**3 + 408*r**2 - 824*r + 181. Calculate m(-206).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40365137?\nAnswer: 1129, 35753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -26163*h**3 - 137*h**2 - 12*h + 3?\nAnswer: -156978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/3 + 10\/30. Suppose 0 = -2*d + 3*r + 13, -d + 2*d - 3*r - 11 = 0. Let i(b) = 2*b - 3*b + 4*b + 1 + 2*b**d - 5*b. Determine i(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 145222250 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -43, -119, -185, -241, -287?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**3 + 2*o**2 - 3*o + 1. Let w = -292 + 60. Let h = w - -229. Calculate d(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000792687 rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -133.7116 - -56.1569. Let g = o + -0.0453. Let x = 100 + g. Round x to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 169888 and 20.\nAnswer: 849440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -83 - -137. Suppose -4*m - b = -82. Calculate the least common multiple of 9 and m.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f - 2*c, 3*c = 2*f - 5*f. Solve f = -r - 0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -2*c**2 + 11*c - 20. Let s be (-1*1 - 0\/1)*(149 + -152). Give y(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three sixteenths of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -35 - -31. Calculate the common denominator of (v + (-3678)\/(-12))*1\/(-30) and 31\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 295176, 295180, 295188, 295200, 295216?\n\"Answer: 2*r**2 - 2*r + 295176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 16 = -0*r + 2*r, -3*z + 4*r = -38. Let m(t) = t - 1. Calculate m(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171)*1 + -5 + sqrt(171) + sqrt(171) + sqrt(171) + 0 + -2*sqrt(171) - (-3*-2*sqrt(171) - (0 + sqrt(171))*-4))**2.\nAnswer: 240*sqrt(19) + 10969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1ca1 - 4?\nAnswer: 1c9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -562 and 37.\nAnswer: -20794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 1191*q. Let g(d) = -d**2. Calculate g(f(k)).\nAnswer: -1418481*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from aaxaaxxxxxaaxxax?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 80, 24069, -3, 15 in increasing order.\nAnswer: -3, 15, 80, 24069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-40)\/25)\/(2\/(-5)). Suppose -2*a + 3*z + 13 = 0, -8 = x*a + 5*z + 21. Let n = 2 + a. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -64*y + 2*y**2 - 3*y**3 - y**3 - 2*y**2 + 110*y to the form b*y + h*y**3 + x*y**2 + c and give b.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 8*o**2 + 14*o - 81. Let t(p) = 25*p**2 + 43*p - 248. Calculate -19*m(f) + 6*t(f).\nAnswer: -2*f**2 - 8*f + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-14)\/27*951\/(-2219). Which is the third biggest value?  (a) 1\/2  (b) 5  (c) -40  (d) 4\/3  (e) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*j - 3*j + 14*j - 11*j.\nAnswer: 13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 3*u**2 + 35*u + 24. Let r(i) = -3*i**2 - 8*i + 17. Let g be r(2). Let v be j(g). Which is the fourth biggest value?  (a) v  (b) -0.5  (c) 4  (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -364 + 365. What is the units digit of 46*(c\/4 + (-84)\/(-16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1733602478?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(136)\/(sqrt(8)*-2) + -4.\nAnswer: -4 - sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 32 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the third derivative of -h**6\/360 - h**5\/120 - h**4\/6 - h**3\/2 + 2*h**2. Let q(t) be the first derivative of x(t). Determine q(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.438 + 0.338. Let r be (-3*2\/(-8))\/1. Which is the nearest to n?  (a) -2\/13  (b) 2  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-4)\/(4 + -6 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 5*n - 4. Suppose -24*q + 21*q - 21 = n. Is -1\/6 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 165362600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 5 = 1. Suppose -d + 5*o = -t, 2*o + 28 = 5*d - 0*o. Differentiate 6*n - 6*n + d + n**3 wrt n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3511551 (base 7) to base 8\nAnswer: -1533307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9.6678 - 5.6678. Let r = 0.4 + -0.39. Let v = r + 1.99. What is the closest to -0.1 in v, 5, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.1 + 0.1. Let l be ((-30)\/20)\/(9\/(-6)). What is the nearest to i in l, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9827142 and 8037?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 27 + -24. Suppose -p = n*u - 2*p - 12, 4*u - p = 16. Suppose 2*x = u*y - 84, y - x - 23 = -0*x. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 - ((8 - 9) + 25).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 28157 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.3, 6\/11, 2\/1175?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 244 = -45*a + 154. Put -3, a, -1, -20, 4 in descending order.\nAnswer: 4, -1, a, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-1) + (-1)\/1. Let g(k) = k**3 - 60 - 6*k**2 + 85 - 17. Let m(u) = u**2 - 1. Calculate i*g(v) + 6*m(v).\nAnswer: v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -63*g. Suppose 4*i - 4*l + 68 = 0, 89 = -5*l + 99. Let n(p) = 9*p. Determine i*n(d) - 2*w(d).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1984 is divided by 424?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11675 + -11674.9. What is the nearest to 0 in 1, g, 3.1, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*y**2 + 25*y**2 + 22*y**2 - 15*y**2.\nAnswer: 44*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -112*m**2 + 666*m**4 - 542*m**4 - m - 10 - 6526*m**3 - 125*m**4 wrt m?\nAnswer: -24*m - 39156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 5*a**4 + 220*a**3 + 865*a**2 - 4210*a + 3120 = 0?\nAnswer: -39, -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(114)\/(sqrt(24)\/sqrt(4)))**2 - (-4*(-1 + sqrt(19)) - sqrt(19))**2.\nAnswer: -472 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 126 = -3*s, 126 = -3*s + h - 2*h. Let a be (s\/(-546))\/((-3)\/(-28 + -2)). Are a and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 609399.\nAnswer: 3, 7, 17, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 26 = h, -3*h = -2*c - 5 - 2. Let v = 23.1 - 27. Let j = -4 - v. Which is bigger: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*g**2*y**3 - 12*g**2*y**2 + 28999*y**3 + 45856*y**2 wrt y.\nAnswer: 18*g**2 + 173994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-15)*9)\/(36\/(-45)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in thirty-one sixths of a day?\nAnswer: 124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = 2*g - 2*p, -3*p = g + 4. Suppose 0 = -g*o + 4, 82 = -5*d - 3*o - o. Let s = 127\/7 + d. Which is the biggest value?  (a) 5  (b) s  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3551 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v**3 - 3*v**3 + 0*v**3)*(6*v - v - 3*v) + (0*v**2 + 0*v**2 - 5*v**2)*(0*v**2 + v**2 - 2*v**2).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 651028, 1302118, 1953206, 2604292, 3255376, 3906458?\n\"Answer: -f**2 + 651093*f - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -148 + 148. Solve -4*z - 25 + 5 = j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**2 + 12*g - 24. Let m be (30\/(-40))\/(2\/(-32)). Suppose -19 + m = -u. Calculate the remainder when 18 is divided by r(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t**3\/t)*t**(-4\/9))**(3\/5)*(t\/((t\/(t**(-6)\/t))\/t)*t*t*t\/t**(-2\/33)*t)**(2\/29) assuming t is positive.\nAnswer: t**(-4787\/4785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8.9 - -8.899945. What is o rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 14400\/(-600) + 214\/9. What is the biggest value in a, 0, 3, -0.01, -0.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-27)\/h*h)\/((h*h**16)\/h))\/((h**(-3\/19)*h*h*h)\/h)**(-40) assuming h is positive.\nAnswer: h**(583\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 156997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00026791157 to 6 decimal places.\nAnswer: 0.000268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 16 - 28 = 0. Let t(y) = -y + 2. Let j be t(-3). Suppose 2*b - 88 = -j*d, -3*d - 13 = -r*b + 119. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1695562632.\nAnswer: 2, 3, 872203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(1\/65)*y)\/((y*y\/(y*y**(-7\/3)\/y))\/y*y*y)*(y\/(y\/y**(-2\/97)))\/y*y*y**(-2\/11)*y)**(-2\/47) assuming y is positive.\nAnswer: y**(1464938\/9779055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10648 and 57112?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9376657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 26169 and -4.\nAnswer: -104676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence btua when four letters picked without replacement from auqbbqtubqi.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -57 + 227\/4. Let d = -3 + 2. Let y be 44\/24 - 95\/38. Which is the second smallest value?  (a) y  (b) u  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9336743*f**2*l + 9*f*l - 24*f - 2*l + 423 wrt f.\nAnswer: -18673486*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5519197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1573\/3 + 520. Let i = x + 5. What is the nearest to i in -1\/5, 0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -386 <= -384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/10*132\/132)\/((-1)\/6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (0 - (1 - 4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3\/(63\/6) - 19\/(-7). Let b(o) = 3*o**2 + 6*o - 5. List the prime factors of b(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:20 PM and 10:37 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (-1 - 1) - (160 - 158)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q**5 + 598*q**4 + 6*q**3 - 1798*q**2 + 1196*q = 0. Calculate q.\nAnswer: -2, 0, 1, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5118?\nAnswer: 2, 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 4*u = -0*u + 20, 3*f - 4*u - 20 = 0. Let o(y) = -y**3 + 5*y + 527. List the prime factors of o(f).\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 5*q**2. Let s(o) = 2*o**2 - 6. Calculate s(l(n)).\nAnswer: 50*n**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 3)*((-3 + 1 + 1)*(2 + 3 - 3) - 4 + 8 + 5)*(-q**5 + q**5 + q**5).\nAnswer: 28*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -231 = -20*j + 169. Suppose 1331 = j*m - 789. Calculate the remainder when m is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-29 - -41)*(-74)\/(-24). Solve 41*z = g*z + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -144*o. Let g(i) = 1825335*i. What is k(g(z))?\nAnswer: -262848240*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11 or 514\/45?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 7041\/48388 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27\/(191268\/205667) + -3 + -26.\nAnswer: 3\/92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -458 = -6*k - 446 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -3237*w. Let q(s) = 1432*s. Calculate q(b(z)).\nAnswer: -4635384*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d + 2. Let f be s(0). Find the second derivative of -2*p - f*p**5 + p + 5*p**5 + 0*p wrt p.\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -411517 divided by 23.\nAnswer: -411517\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -2565*y + 479. What is the hundreds digit of s(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g + j = -53 + 40, -12 = 7*j - 3*j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 2 = -0. Suppose 4*w + 3*d - x + 6 = 0, -w - d - 2 = 0. Let a be -4*(0 + 2\/(-4)). Solve w*j + 14 = 2*i, -a*j + i = 4*i + 4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-264)\/(-84))\/((-10)\/(-14)). Let d = c + -29\/10. Let n = 9 + -8.8. Sort d, 0.5, n in decreasing order.\nAnswer: d, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4777 in 0, 6, 0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2512 - 1206250?\nAnswer: -1203536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y + 11. Let t be m(-8). Let p be (-2 - -1) + (-3 - -2). Is 9 a factor of t\/2 - (-1)\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*v + 4*a - 5*a + 3, a + 9 = 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-y - 48 + 10*y**2 + 56 - 9*y**2)*(3*y - 15*y + 8*y) to the form a + j*y**3 + h*y + d*y**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (1065\/8520)\/(4\/(96\/15))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -78, -77, -76?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (55 - 58) + -2 + 5. Suppose -4*p + 1382 = 2*b, -48*b + 46*b - 6 = i. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-489 - (-670 - -193)) + (0 - (-1 + -55)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d + m - 18 = 4*m, -20 = -5*d + 3*m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 8457 minus -49?\nAnswer: 8506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (-56 - -127) - 8?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3272641?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 7*p. Let o(r) = -2*r - 3. Let g(w) = 5*w + 8. Let z(s) = 3*g(s) + 8*o(s). Let j be -4*(1 - (-3)\/2). Let k = j + 16. What is k*z(a) + l(a)?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 33 and 35607681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -15*t**3 + 37*t**2 - 25*t - 88. Let z(y) = 4*y**3 - 9*y**2 + 6*y + 22. Let c(u) = -6*l(u) - 22*z(u). Suppose c(g) = 0. Calculate g.\nAnswer: -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 44037?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -163, -327, -491, -655, -819?\nAnswer: -983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11\/(-3))\/(9\/(486\/(-18))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1111, -1102, -1093, -1084, -1075?\nAnswer: -1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 58759212 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 62936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11012232231 (base 4) to base 8.\nAnswer: 5065655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (15*p**2 - 2*p**2 + 0*p**2)*(504 - 619 - 510 - 1085 - 1017) to x*p + l*p**2 + w and give l.\nAnswer: -35451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -3*f**2 - 7*f + 5. Let v(u) be the second derivative of u**4\/2 + 5*u**3\/2 - 5*u**2 + 2880*u - 1. Give -13*k(s) - 6*v(s).\nAnswer: 3*s**2 + s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 190\/317 equal to 432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s**(-17)\/s)*s)\/(s**6\/s) assuming s is positive.\nAnswer: s**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in thirteen fifths of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(48\/9)\/(-8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from vvwavvvcvwac?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*d = 45*d + 10*d - 53768. What are the prime factors of d?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the third derivative of -a**7\/210 + 743*a**6\/60 + 581*a**3\/6 - 341*a**2 + 6*a - 1. Differentiate c(f) with respect to f.\nAnswer: -4*f**3 + 4458*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -26485 or 293?\nAnswer: -26485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -306.53999 to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 + 0 = -5*w. Calculate the remainder when 9 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5156163*b**4 - 43755214950*b**3 - 92826788642751*b**2 - 283224068700*b - 216036588 = 0. Calculate b.\nAnswer: -4243, -2\/1311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 111278024 a multiple of 411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21 + 19 - 62)*(-a**5 + 5*a**5 - 2*a**5).\nAnswer: -128*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**3 - q**2 + 47. Let i be v(0). Let s = i + 20. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*w = 96 - 27 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-4)*u**(1\/17)*u*u**(-2\/39)\/u**25)**27 assuming u is positive.\nAnswer: u**(-167031\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8\/165 + 1297\/660. Let q = -173\/116 - -7\/29. Let l = q + y. What is the smallest value in -3\/7, l, 0.2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**2 - 1. Let z(v) = v**2 + 5*v - 4. Let i(n) = -2*c(n) + z(n). Let m be i(6). Let p = 16 + m. What is the lowest common multiple of 10 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes before 5:04 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 17266744 and 6118?\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the first derivative of -13*x**2 - x - 29. Let t be z(-1). Is -1 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {u: 5, j: 4, m: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in k - 3407 - 9*k + k + 3410.\nAnswer: -7*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 8536721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 - 821 = -4*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13254 - 109*f + 13254 to w + l*f and give l.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -22023 + 10?\nAnswer: -22013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.1 * 773.\nAnswer: 1623.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 111032 (base 6) to base 2\nAnswer: 10010001011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 669.51680661803 + 0.4\nAnswer: 669.91680661803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -226684 = -29*o + 161829. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m = 5*s + 477 - 455, 0 = 2*m - 12*s - 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/236 and 1\/(408\/1550) + 56\/476?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.0966 + 0.09659633. Round x to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 96 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 539419 and 251873.\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -236*y**3 + 16*y**2 - 12*y - 4. Determine l(1).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -106*c - 277 wrt c.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*v - 77*v + 897. Let n be ((-104)\/48)\/(1\/(-6)). Solve 2*w - v = -n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, 0.3, 35, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 76.88882 years in centuries?\nAnswer: 0.7688882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -18390 (base 10) in base 2?\nAnswer: -100011111010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 7905754902 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 + 165. Suppose 0 = -4*l + 101 + q. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*k + 87 - 33 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - ((9 - 4 - 1) + -4 - 8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 1379*i + 45431. Determine d(-33).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 59923*i**2 - 26*i - 13. What is the tens digit of s(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 90 and 7512570.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the third derivative of 496*p**5\/15 - 659*p**4\/12 - p**3\/6 - p**2 + 2*p - 1046. Find the second derivative of b(z) wrt z.\nAnswer: 3968","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13787547.710601 + -13787540. Let n = s - 7.71. Round n to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-16))\/((30\/6)\/(-140)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -38 + 103. Let h = 65.00286 - p. What is h rounded to 4 decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t - 13390 = -5*s - 13391, 6*s = -3*t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**3)**(1\/4)*g**(5\/4)\/(g*g**(2\/33)\/g))**(-2\/31) assuming g is positive.\nAnswer: g**(-128\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -50 + 77. Let q be u\/63 - 2\/(-224)*-34. Let k = 0.6 - 0.5. What is the third smallest value in 1, k, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 157829486.\nAnswer: 2, 2477, 31859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c - h - 0 + 9, -2*c - 2*h + 2 = 0. Suppose 0*n + 215 = 3*n + c*t, -3*n + t = -221. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10858*v - 10857*v + 30 = -x, x = 2*v + 48 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aalaaaaaaaaafaa. What is prob of sequence laaa?\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -7015, -14022, -21029?\n\"Answer: -7007*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**3 + 1913*a**2 - 7664*a + 7668.\nAnswer: (a - 2)**2*(a + 1917)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the first derivative of 7*d**6\/6 - 141*d**5\/20 + 199*d**4\/16 - 27*d**3\/4 - 11*d**2\/8 + 3*d\/2 + 49. What is g in v(g) = 0?\nAnswer: -1\/4, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(125) + -3*sqrt(125) + 0 - sqrt(125)) + sqrt(125))**2*-6*-4.\nAnswer: 11996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 14303 (base 6) to base 10\nAnswer: 2271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 2*h**2 + 11*h + 603. What is the units digit of y(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the first derivative of -8*k**5\/5 + 6*k**3 - 403*k + 61. Find the first derivative of w(g) wrt g.\nAnswer: -32*g**3 + 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-14) + 116*(-19)\/133?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3308566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**3 - h**2 - 8*h. Let i(c) = 2298*c**3 + 16*c**2 + 16*c - 19. Let l(d) = i(d) + 2*m(d). Find the third derivative of l(q) wrt q.\nAnswer: 13800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*v**3 + v**3 + 8*v**3 - 2*v)*(-2 + 3 + 1).\nAnswer: 12*v**3 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes after 8:23 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25822 is divided by 25590.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 898*d + 7650 = 1204*d for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 57, 114, 171, 228?\n\"Answer: 57*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l + 4. Suppose 2*c = 7*c - 25. Suppose 5*m - 65 = l*x + 24, 0 = c*m - 2*x - 87. Solve -5*h - m = 2*r - r, -4*r = -5*h - 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0027197927 rounded to 5 dps?\nAnswer: 0.00272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*m = 264 + 120. Let y be (0\/2)\/(m\/6 + 6). Suppose 0*j = -2*j + 8. Solve y*r + 4*r - j = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 1395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the first derivative of p**2 + 3*p + p + 13 + 5*p - 3*p. Determine a(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8 and 113215560?\nAnswer: 113215560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 374*h**2 + 4*h - 8. Is 68 a factor of b(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9*8\/(-12)*(-6)\/16*-4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1408 greater than or equal to -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the first derivative of 2*j**7\/7 - 41*j**5\/5 - 10*j**3\/3 - 15. Find the third derivative of h(s) wrt s.\nAnswer: 240*s**3 - 984*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 835963*u - 836514*u - 31958 = 0 for u.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17300?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 2*g - 115. Suppose 4*n - 4*f = 76, -3*f = -n + 2*f + g. What is the units digit of (-5)\/(45\/(-6))*n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjvjxjjxxjxv. What is prob of picking 1 x and 2 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1090 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 462 = -2*c + 8*c. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.5  (b) -1\/5  (c) -2\/95  (d) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15777*j**2 - 7857*j**2 - 7920*j**2 + 2*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 69585867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 - 17. Let g = -3 - a. Suppose -15 = -2*z - 3*p, -2*p - g = -z - 5. Solve 4*l = z*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**2 + 1. Let a be u(0). Let j be (-1 - 1)\/(a\/2). Does 8 divide 1*j\/((-16)\/44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -21775 - -42960. Is 35 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -5 - (-5)\/10*6. What is the units digit of 7\/y*(32\/(-14) + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 35 - -8. Suppose 3*q - 2*d = 126, 1 - o = -q + d. What are the prime factors of -1 + (-10)\/(-5) + q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**3 - 2*f**2 - 4*f + 5. Determine l(-5).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2181 - -4809\/2. Let o = -1791\/8 + z. Put -5, -42\/5, o in increasing order.\nAnswer: -42\/5, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**2 + 3. Let t be l(3). Let o be (-3 - -4)*(-2)\/t. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1376171.1ns to minutes.\nAnswer: 0.000022936185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16 - 25. Let n = 0 - s. Let m = n - 9.023. What is m rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 298 a factor of 136484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -41687 times -4\nAnswer: 166748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1401 or -2?\nAnswer: -1401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -25 + 121. Suppose -a + v = 4*x, -4*x + a + 88 = 4*a. Solve 5*l = -5*p - x, -2*l - 8 = -2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - -5 - (15 + -16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 4853402, 19413622, 43680648, 77654474, 121335094, 174722502, 237816692, 310617658?\n\"Answer: -h**3 + 4853409*h**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) -15.5  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 4*k - 124 = 0. Let g = k - 24. What is the second derivative of -5*z**3 + 0*z + 9*z + g*z**2 - 7*z**2 wrt z?\nAnswer: -30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 146, 3\/4, 4693?\nAnswer: 4693","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**2 + 11*a - 11. Let v be s(9). Let d(h) = -17*h + 10. Let z be d(v). Let y be -3 - -2 - -2 - z. Calculate the highest common factor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 13*j = -5208. Let a = 254 + j. Which is smaller: -179 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 12*h**2 - 10*h + 3. What are the prime factors of a(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 632107.3 meters?\nAnswer: 632107300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bjbj when four letters picked without replacement from bjbjjjj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -310  (b) -3  (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1652037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 23180457 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/(-6))\/(4\/(-138)). Let s = -14 + m. Suppose -2*a = -s - 23. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -106 greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 546\/(-198)*3 + -14*9\/(-462)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-41)\/((7 + -6)*1\/(-4)). Let p = -62 + o. Suppose s - 16 = p. Calculate the remainder when s is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8736\/588*(-14)\/(-16)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 566\/(-38) - (684\/1710 - 385\/25)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1732485283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 494037?\nAnswer: 3, 17, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1568.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92945 is divided by 1535.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/(-3))\/((-2)\/(-15)). Suppose 0*p + 2*p - d = -9, -5*d = x*p + 30. Let v = p + 8. Solve 3*h - 8 = -4*b - 2, v*h = -3*b + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -157\/624 and 95\/156.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -219*m**2 + 644*m**2 - 217*m**2 - 206*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -17499 or -13683?\nAnswer: -13683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 17380 and 8690.\nAnswer: 17380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -224818, -449638, -674458, -899278, -1124098?\n\"Answer: -224820*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**3 + 5*j**2 + 14*j - 22. Does 19 divide u(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 210 and 700.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 20418998881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((5*sqrt(85)\/sqrt(5))**2 - (-2 + sqrt(1377)))*-5*-3.\nAnswer: -25620 + 540*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**2 - q + 1. Let b(o) = -3*o**2 + 1. Give -b(s) + d(s).\nAnswer: 4*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4\/7 - (-136)\/(-77). Let u = -24684811\/2640792 + 15839\/1429. Let t = x + u. What is the common denominator of t and -43\/10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_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: Suppose h + 52586 = 4*h - 52126. Is h a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-16)\/80 - (-69480)\/25. Calculate the highest common factor of 28 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 124159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2635515 by -55.\nAnswer: 527103\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -3*w - 5. Let y(t) = t**3 - 10*t**2 + t + 4. Let c be y(10). Let g = 9 - c. Give z(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**3 + z**2 + 1. Let j(l) = 8*l**3 + 5*l**2 + 14*l + 13. Let m(w) = 6*d(w) - j(w). Is m(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 86142?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-10)*u*(u**(4\/5)*u)\/u*u*((u*u*u*u*u\/(u\/(u*u**1))*u)\/u)**(-7\/4) assuming u is positive.\nAnswer: u**(-177\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 111721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 3*u = 117169 + 20240, 5*u = -2*s + 137433. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1019*m**2*y**3 - 117*m**2 + m*y**4 - 2*y - 9 wrt y.\nAnswer: -3057*m**2*y**2 + 4*m*y**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/(-6) + (-3)\/((-9)\/(-110)). Let r = q + 36. Suppose 3*f + 12 = 2*g + f, r = -f - 5. Sort g, -4, -2 in decreasing order.\nAnswer: g, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2024 - -2033. What is the remainder when 701 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**3 + j**2 + j - 12. Let a be k(0). Let x = 15 + a. Solve -4*n - 4 = -3*l - 25, x*l = 5*n - 24 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16950 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1382605 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*m - 172733 - 212453 = 0. What are the prime factors of m?\nAnswer: 2, 11329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1339795 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 348, 843, 1490, 2283, 3216, 4283?\nAnswer: 5478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -6*a - 38. Let l be r(-14). Calculate the greatest common factor of l and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 18*l**3*m**4 - l**3 + 8*l*m**4 + l*m**2 wrt m.\nAnswer: 432*l**3*m + 192*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2146728 divided by -357788\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 714*z + 39410 = -1286*z - 815*z for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zapgo. What is prob of picking 3 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 5046955.4 rounded to the nearest 100000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 40*n**2 + n + 6. Let h(q) = -60*q**2 - 2*q - 9. Let f(s) = 5*h(s) + 8*y(s). Is f(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-14))\/((-20)\/3400*-34)*-10.\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.93 - 2404599598?\nAnswer: -2404599602.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.08?  (a) -0.2  (b) -7  (c) -1\/2  (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-202)\/(-130) + ((-1152)\/3432 - 2\/(-11))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, t: 1, e: 2, a: 1, p: 2, r: 1}. Give prob of picking 1 a, 1 e, and 1 r.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the third derivative of o**9\/60480 + o**8\/2520 + o**6\/120 - o**5\/5 + 2*o**2. Let i(v) be the third derivative of z(v). Calculate i(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34, -79, -124, -169, -214, -259?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/16 of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 31\/(-6)*8*17064\/(-7584).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w - 4. Let u be b(-9). Find the second derivative of 4*v**u + 5*v - 4*v + 2*v**5 wrt v.\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(192) + 0 + sqrt(192)*3 + (sqrt(27)*5 - sqrt(12)*-5)**2.\nAnswer: 32*sqrt(3) + 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add -5123742504 and -0.03504.\nAnswer: -5123742504.03504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 10 = -2. Suppose 176 = 4*s + w*b, 2*b + 113 = -5*s + 340. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-455)\/140*(-8*1)\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**3 + 6*f**2 - f. Calculate i(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 318681539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(44))\/sqrt(4) - sqrt(55)\/(sqrt(20) + sqrt(5)))**2.\nAnswer: 1859\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-8\/3)*i**(-2\/21))\/((((i\/(i**(2\/13)*i*i)*i*i*i)\/i*i*i)\/i)\/(i\/(i*i\/(i**(-16)*i)))) assuming i is positive.\nAnswer: i**(-5626\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -12 + 11.57. Let f = -0.430275 - j. What is f rounded to 5 dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 275\/22*(-852)\/(-3550)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -79346?  (a) -14  (b) 0.3  (c) 0.05  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**22\/(t*t**(-41)) assuming t is positive.\nAnswer: t**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -63282 or -63281?\nAnswer: -63282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2 - 2)\/(-8 - -6). Suppose -4*l - 3*l + 140 = i. Calculate the greatest common factor of l and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-o**2 - 2*o**2 + 2*o**2)*(-928*o + 4250*o + 1757*o) as g + b*o + n*o**2 + w*o**3 and give w.\nAnswer: -5079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -447 + 451. Let d = 5 + -3. Suppose 7 = u*y - k, d*y - y - 6 = -4*k. Solve 0*o = 2*o - 2*m - 8, -2*m + y = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:03 AM and 10:49 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 345250?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 45 = -q - 5*i, 2*q + 5*i = -15. Solve 3*f = q*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1, -1, -32 in decreasing order.\nAnswer: 2, 1, -1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 7*y**2. Suppose 11*v + 553 = 4*v. Let u = -77 - v. Let c(d) = -5*d**2 - 3*d**2 + 0*d**2 + 12*d**u. Give g(c(z)).\nAnswer: 112*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0006026230819 to 6 decimal places.\nAnswer: 0.000603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -n. Suppose -4*z + 21 - 1 = n. Let r(a) = -a**2 + 6*a - 7. Give r(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes before 9:03 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.1 and -75.\nAnswer: 157.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + (3 - -10) + -14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 2 = 16. Let m = -12 - x. Find the second derivative of 2*p - 6*p**m - 14 + 14 wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -23212*d**2 + 149 - 149 + 38903*d**2 - 2*d**2 + 2*d**2 - 2*d**2 + (-1 + 4 - 5)*(1 - 1 + 2*d**2).\nAnswer: 15685*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 0.3, -3\/2, 15 in increasing order.\nAnswer: -3\/2, 0.3, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 7, d: 1}. What is prob of picking 3 k?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 + (-36)\/(-16))*4. Let d(l) = l**3 - 12*l**2 - 9*l - 48. Let i be d(s). Calculate the greatest common factor of 196 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**3 - 3*w + 33. Let i be j(3). Put i, 2, -41, 0 in decreasing order.\nAnswer: 2, 0, i, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2848 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 - 2) + (-5 - 2) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.07*104.\nAnswer: -7.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**3\/9 - 1262*p**2\/9 - 1264*p\/9.\nAnswer: 2*p*(p - 632)*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 48534 = 12452. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**2 + 4*u. Suppose 7*n - 12 = 3*n. Let j(t) = -t**2 + 3*t. Give n*w(v) - 4*j(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 480 = 4*f, 2*f - 3*w - 97 = 143. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v + 464. Let l(t) = 2*t + 4065. Give j(l(u)).\nAnswer: 2*u + 4529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - a + 3*a + 0*a)*(2 - 1 + 0) to the form k*a + z and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that r**3 - 27*r**2 + 73*r**2 - 32*r**2 + 18*r - 29*r**2 + 2*r**3 = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 50 and 6863840?\nAnswer: 34319200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 52, 103, 154, 205, 256, 307?\n\"Answer: 51*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-337)\/(-7) + (3 - 66\/21). Let d = -38 + c. Solve -d = -4*g + i, -g = g + i - 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1097 - -36.\nAnswer: -1061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4273775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 384739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13\/((-117)\/(-6)))\/(3*(-4)\/18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1041, -1030, -997, -930, -817, -646, -405?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18861?\nAnswer: 3, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 312.6 - -108.34. Let z = g - 417. Let r = z + 0.06. Put 7, -4, r in decreasing order.\nAnswer: 7, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**2 - 68*k - 1613. Determine h(-26).\nAnswer: -521","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 72394 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5\/((-335)\/(-268) - (2 + (-7)\/4)). Solve -17 = 4*z + x*g, 14*g - 17*g - 12 = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*h + 3*h - 9*h + 6*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 3 + 1 + k - 5.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does -5\/381 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 254 and 1027430?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (11 - 11)\/((-9)\/(-3)). Suppose -13*r + 19*r - 150 = m. What is the remainder when 70 is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 104 = 5*c, 3*t - 5*c + 40 = -3. Let s = t + 25. Suppose -f + 4 = -3*u - 8, -2*u = 2*f. Solve s*q + f = -5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 102961 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * -668192.\nAnswer: -2004576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 653*f - 1066*f - 859*f.\nAnswer: -1272*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**3 + 9*z**2 + 7*z - 7. Let u be n(-8). Let y be -1 - 1 - (-4)\/u. Solve 0 = y*d - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -16282, -16486, -16826, -17302, -17914, -18662?\n\"Answer: -68*c**2 - 16214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*i**4*r - 10943491*i**4 - i*r - 10650*i - 98*r wrt i?\nAnswer: -24*i**2*r - 131321892*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:01 AM and 9:17 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 721 - -174?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11.679 - -11.664. What is the biggest value in m, -0.04, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3501404355 + 20?\nAnswer: -3501404335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bybybby. Give prob of sequence ybb.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 169766 to the power of 1\/2, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 122940*u*z**3 + 259*u*z - 2*u + 5*z**2 + 1 wrt z?\nAnswer: 737640*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9705 and 96.\nAnswer: 310560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 359 = -556. Calculate the least common multiple of 25 and z.\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -3*t**4\/5 + 2*t**3\/5 + 9*t**2\/5 - 12*t\/5 + 4\/5 = 0?\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + g - 84 = 0, g - 42 = 2*t + 5*g. Does 75 divide 18\/t*-1*2250\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the second derivative of -29*v**7\/42 + 13*v**3\/6 - 7*v. What is the second derivative of w(t) wrt t?\nAnswer: -580*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 76 and 114854183.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1776 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5078 is divided by 1285.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f + 14. Give y(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the first derivative of 15*p**2\/2 + 6*p - 22. What are the prime factors of i(7)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 16*s**2 - 1. Let q be u(1). Suppose -3*g = 2*g - q. Suppose v = g*v. Solve v = b - 3*b + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1348259989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**2 - 2*n - 2. Let g(k) = -k**2 - k - 1. Let t(q) = 6*g(q) - 3*y(q). Let d(h) = -2*h**2. What is d(t(a))?\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 5*h - 606354, 4*h + 341590 = 2*s + 38416. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 127798 - 127801. Let z = -681\/7 - -97. What is the closest to z in 5, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -49.51 + 0.01. Let r = l + 50. Let g be (-1)\/(-3)*-1*-1. Which is the nearest to 2?  (a) g  (b) 1  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-48)\/(-2))\/(9\/(-6)). Does 22 divide (-33)\/2*k\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 3, r: 3, z: 4, o: 5, s: 3}. Give prob of sequence rrz.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the second derivative of -l**5\/20 - 5*l**4\/12 + 7*l**3\/6 + 2*l**2 + 3*l. Let x be h(-6). Let y(m) = 6*m**2 + 3*m + 3. Is y(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-six fifths of a centimeter in millimeters?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 + d**2 + 2*d + 8. Is f(-4) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + -24 + 33 - (0 + 7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -18212 - -18209. Sort 3, -713, u, 4, -1\/4 in increasing order.\nAnswer: -713, u, -1\/4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4113 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*i - i - 40. Suppose -2*a + 4*a + i*k + 2 = 0, 5*a + 2*k + 5 = 0. Suppose -5*d = 5*u - 20, -7*d - 3*u + 12 = -3*d. Put 9, a, d in increasing order.\nAnswer: a, d, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 343181?\nAnswer: 113, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -24113 by 3.\nAnswer: -24113\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2599.444 or 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 1 l, and 2 d when four letters picked without replacement from dlidk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes after 12:47 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - ((1 - 8) + 17 + 21 + -18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/24871 or 1?\nAnswer: 2\/24871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - p - 2*q + 2, -5*p - 5*q + 5 = 0. Let r(h) = -h + 6092. Let y be r(p). Let w = y + -4191. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -110703496102 + -1491?\nAnswer: -110703497593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 3250*p**5 - 50030*p**4 + 210942*p**3 - 221650*p**2 + 57128*p + 360 = 0.\nAnswer: -2\/325, 2\/5, 1, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (c - 4*c + c + 0*c - 2*c + 0*c + (-3 + 5 - 1)*(4 + 2*c - 4) - 3 + 3 + c + 0*c - 2*c - 9*c)*(-1 + 2 + 3) as y + v*c and give v.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 574214215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 15) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the second derivative of 2*b**4\/3 - 11*b + 1. Let z(q) = 5*q - 5*q - q**2. What is z(k(g))?\nAnswer: -64*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3342 + -1773. Let t = g - 965. Is 45 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1156454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q = -4*x + 30, 0 = 9*x - 19*q + 53*q - 16*q - 9*q + 243 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 53*l**2 - 18*l - 138. What are the prime factors of o(19)?\nAnswer: 23, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-630)\/147)\/(4\/(-14))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -4*m + 66, -3*x - 4*m = -m - 180. Suppose -2*l - 115 + 5 = -5*v, -2*v - 2*l + x = 0. 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: Solve 92 - 194 = -17*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 3 = -5*a + 8, 3*k = -2*a + 2. Suppose -r + 74 + 23 = k. List the prime factors of r.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44361 = 7*i + 4853. Suppose 4*q + 2040 - i = 0. Is 41 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -a + -ba5?\nAnswer: -bb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13*k**6 + 5*k**2 - 29*k**6 - 9*k**2 + 29*k**2 - 140*k**6 + 3*k wrt k?\nAnswer: -21840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-5)\/3)\/(-4 + (-335)\/(-90)). Solve 20 = -3*r + j*r + 4*m, -2*r = -3*m - 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 114 by 2.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-30 + 950 + 310)*(-6*i**3 - 5*i + 5*i).\nAnswer: -7380*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 895492 rounded to the nearest 1000?\nAnswer: 895000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 305970696 divided by 151.\nAnswer: 2026296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from {c: 1, p: 3, m: 1, i: 2, n: 1, y: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 35*b - 2*b**2 + 2265 - 4554 + 2*b**2 - b**3 + 15*b**2 + 2256. What is j(17)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k - 18 - 6 = 0. Solve 1 = -k*x + 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (-32 - (-20 - (26 - 22))) + 12 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 f and 1 i when four letters picked without replacement from iffiffiifiifiifi.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 20376688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 725607960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 131 - -3?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 819*m - 909*m + 931 + 239 = 0 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*v - 34*v - 3*t + 25 = 25*v, -19*v - 3*t = -3 + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 6 - 9 = 0. Let b = 3 + l. Let f = 22 + b. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*p**3\/2 + 6*p**2 + 3*p\/2 - 9.\nAnswer: 3*(p - 1)*(p + 2)*(p + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 8 + -138a33?\nAnswer: -138a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-668*t - 2081 + 4171 - 2090)*(1 - 2 - 2) to the form b*t + x and give b.\nAnswer: 2004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -7 - 3. Suppose -40 = -z - 2*q, 46 = g*z - z - q. Suppose 0 = -5*o + 271 + 279. What is the greatest common divisor of o and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21571554.\nAnswer: 2, 3, 617, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, l: 2, g: 1, e: 2, y: 1}. Give prob of sequence yyr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -28*c**2 - 501*c + 47. Calculate f(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**3 - 30*h**2 - h - 45. Let t be l(-30). What is the units digit of t\/21 - (-57215)\/35?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2*q - 90. Let l(r) = -233741*r. Determine v(l(w)).\nAnswer: 467482*w - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - k)*(k**4 + 4*k**4 - 4*k**4) - 2*k**5 + 0*k**5 + 4*k**5 + (4*k**4 - 3*k**4 - 3*k**4)*(2 - 2*k - 2) - 34*k**5 - 10*k**5 + 5*k**5.\nAnswer: -34*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -26*c - 4. Let s = 4312 + -4314. Give a(s).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -3*w + 12, -48 = 6*i - 2*i + 5*w. Let o be 1*(-8)\/i - 1. Is -0.052 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1152, 2300, 3452, 4614, 5792, 6992, 8220, 9482?\n\"Answer: n**3 - 4*n**2 + 1153*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3743000 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.40614922 to 3 decimal places.\nAnswer: 3.406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 143045 divided by 35?\nAnswer: 4087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -870652 and -0.5?\nAnswer: 870651.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 15*u + 66. Is o(21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 191 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(5 + (sqrt(72)*1*-5*-5)**2)*-5 + 0.\nAnswer: 450050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*p**2 + 98*p + 430 with respect to p.\nAnswer: 8*p + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -223 * 4.6.\nAnswer: -1025.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 800 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 78324, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -195017 by 1403.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 202*n**2\/3 + n = 0.\nAnswer: -3\/202, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1495968936 divided by -6?\nAnswer: -249328156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1428?  (a) -2\/7  (b) 5  (c) 3  (d) 1  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11.4 * 3.\nAnswer: 34.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19099388?\nAnswer: 2, 7, 11, 62011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) 21478  (b) 1\/8  (c) 1\/2  (d) 5  (e) 0.4  (f) 1  (g) -5\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*f**3*j + 262*f**3 + 2*f**2 + 507*f*j + j wrt f?\nAnswer: 12*f*j + 1572*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**2 + 2*h + 3. Let p be (-18)\/(-4)*(-12)\/(-6). Let y = -12 + p. Give u(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 62*c**2 - 66*c**2 - 4*c**3 + 0 + 0 wrt c?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -252.9626 + -0.0374. Let x = s - -252.998704. Round x to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -7*r**2 - 10. Let g(n) = 8*n**2 + 12. Let w(q) = 5*g(q) + 6*z(q). Let j(v) = -1368*v. Give w(j(a)).\nAnswer: -3742848*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1015?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6463*n - 6948*n + 3825*n to m*n + j and give m.\nAnswer: -9586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**3 - 6*f**2 - 2. Let l be h(6). Let a be l\/(-44)*(1 + 3). Factor 0 + 4\/11*b**2 - 2\/11*b**3 - a*b.\nAnswer: -2*b*(b - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*l = 139 + 86 + 153 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -2, 19 in ascending order.\nAnswer: -9, -2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 2*u**3 - 55*u**2 + 260*u + 903. Determine t(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 847 - 487. Suppose -4*r + 128 = -3*s - b, s - 591 = -5*r. Suppose -36 = -c - 3*h, -4*h + 14 = 3*c - r. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -993, -1016, -1051, -1098, -1157, -1228?\n\"Answer: -6*b**2 - 5*b - 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 5*b - 5 + 17, -20 = 12*b - 4*n. What is the biggest value in -0.2, 2, 11\/87, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*n - 51*n + 30*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (17 + (-165)\/9) - (-200)\/(-6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4999.6 * 1\nAnswer: -4999.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*u**2 + u**2 + u**2 + (341 - 23*u - 198 - 140)*(-2*u + 2 - 2)*(3 - 4 + 2).\nAnswer: 44*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(44)\/sqrt(4)*5*3.\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 4*c. Let t(z) = 105*z. Let h(v) = t(v) - 28*y(v). Let m(i) be the first derivative of -2*i**3 + 1. Give h(m(k)).\nAnswer: 42*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Are 115036545 and 115036545 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 8325180 to the nearest 10000.\nAnswer: 8330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**2 - 192. Let v be i(0). Let m = v - -274. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6668*x - 81129 = 285611 for x.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjjjjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 21*m**2 - 6*m - 4. Let a(x) = x**2 + x + 1. Give 6*a(g) + y(g).\nAnswer: 27*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6884, 13937, 20970, 27971, 34928, 41829?\nAnswer: 48662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 12:11 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the first derivative of -m**2\/2 + 5. Let u(n) be the second derivative of 0 + 0*n**2 + 21*n - 17\/12*n**4 + 0*n**3. Calculate r(u(v)).\nAnswer: 17*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3089 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1476 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5\/50 - (-6)\/15. What is the nearest to n in -0.5, -4\/5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18 - 2 - 9) + 9 - 29.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*x**5 - 33*x + 33*x + 2*x**5 + 0*x**5 - 3*x**5 + (2*x**2 - x**2 + 6*x**2)*(-x**3 + 3*x**3 - 3*x**3) - x**3 + x**3 + 2*x**5.\nAnswer: -16*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 divided by 66376?\nAnswer: 141\/66376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*m - 2*p = -20052131, 2*m = 4*p - 9*p + 3084901. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 68134 and 14344.\nAnswer: 272536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**6*(n**(-1)\/n*n)\/n)\/(n*n**(-1\/3))**(-31)*(n**(-1\/2)*n)**13\/((n**(-1\/9)\/n)\/(n\/n**(1\/5))) assuming n is positive.\nAnswer: n**(2977\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u + 2. Let d be q(-5). Let c = d - 4. Suppose -73 = -4*m + c*f, 0 = -m + 4*f - f + 7. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(17) - -1*sqrt(17)*6) + (sqrt(153) + 5*2*sqrt(153))**2)*-4.\nAnswer: -74052 - 56*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d. Let w(j) = -182*j**2 - 2. What is w(c(z))?\nAnswer: -182*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-136)\/(-36) - (-6)\/27. Let f(s) = t*s - 2*s + 4 - s + s. Let c(i) = -3*i - 5. Determine -3*c(x) - 4*f(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 657 - d**2 + 26*d - 657.\nAnswer: -d**2 + 26*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**3 + 8*q**2 + 2*q - 6. Let i be u(8). Let x be (9 - 1) + 10 + -12. Solve -x*t + t = i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, 6711, 0, -0.5?\nAnswer: 6711","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 36 + -25. Calculate the greatest common divisor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1979 + 1980. Suppose -3*i + 6 = -0. Which is the closest to u?  (a) 5  (b) i  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 10*s + 505. Determine k(-50).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2*v - 2 + 2 + 2*v + (-5*v + 2*v + 2*v)*(3 + 2 - 4) + 0 - 2*v + 0 + 4 - v - 4)*(-46 + 12 - 26).\nAnswer: 240*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*k**3*r**2 - 5*k**2 + 7392*k*r**2 - 27146*r**2 with respect to k.\nAnswer: 6*k**2*r**2 - 10*k + 7392*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 3) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**1)\/f**(1\/12)*(f\/(f*(f\/(f*f\/f**(-10\/7)))\/f))\/(f\/(f*(f*(f\/(f**(1\/6)\/f))\/f*f*f*f)\/f)) assuming f is positive.\nAnswer: f**(201\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 n when three letters picked without replacement from {k: 4, v: 3, n: 2, t: 3, u: 2, s: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the second derivative of y**4\/66 + 7*y**3\/33 + 12*y**2\/11 + y - 468. Factor q(i).\nAnswer: 2*(i + 3)*(i + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4\/401 - -16862\/2005. Calculate the common denominator of (-1)\/(-2) + (-174)\/8 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -0.4, 6, 137, -56, 1\/7, 0.04?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2 - 70\/(-15))*6\/4. Suppose 2*g = -5*m + 14, 12*g + u*m = 9*g + 21. Let x(t) = t**3 - 7*t**2 + 6. Calculate x(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 164292 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 13711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the third derivative of -26*a**3 + 0 + 35*a**2 + 0*a + 197\/60*a**5 + 0*a**4. Find the first derivative of i(u) wrt u.\nAnswer: 394*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 3*t. Let q(n) = 68*n**2 + 11*n. Determine q(s(k)).\nAnswer: 612*k**2 + 33*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5587 - -4760.3. Let f = -827 - v. Sort f, 1.6, -1 in ascending order.\nAnswer: -1, f, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 10*v**4\/3 - 44*v**3\/3 - 18*v**2 + 128*v\/3 - 40\/3 = 0. Calculate v.\nAnswer: -2, 2\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-18))\/(11 + 19\/(-2))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 572 is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 5 + 1)*(2*t**2 + 2*t - 2*t)*(-24*t**3 - 29*t**3 - 22*t**3) + (0 + 0 - 3*t**5)*(-1 + 0 - 1).\nAnswer: 156*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 981774?\nAnswer: 2, 3, 18181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = k - 63, 4*k - 101 = 3*n + 154. Let f = -34 + k. Solve f - 7 = -5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*j**4 - 5*j**3 + 8*j**5 + 22*j**5 - 14*j**5 + 6*j**5 - 2*j**5 + 3*j**5 + (3*j - 3*j + 2*j**4)*(-3*j - 3*j + 4*j).\nAnswer: 19*j**5 - 2*j**4 - 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from mrkxr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2110077127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 436 and 48.\nAnswer: 5232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/210 and 13\/40.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 165 - 15 = 30*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - x = 5. Let b = 4 + x. Let i(s) = s**3 - 2*s**2 + 3*s - 3. What is the tens digit of i(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 7*z**3 + 302*z**2 + 49*z + 278. Calculate l(-43).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**3 + 31*v**2 - 67*v + 13. Let m = -451 + 418. Let n be t(m). What is the highest common factor of n and 552?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2080 + 2080. Let h(x) = 4*x**2 - 12. Let z(n) = -n**2 + 1. Let w(s) = -h(s) - 5*z(s). Determine w(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -11*l + 128. Let m(g) = 4*g - 43. Give 8*m(i) + 3*u(i).\nAnswer: -i + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1406577 + -1?\nAnswer: -1406600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**3 + 9*y + 77. Let u be n(0). Let r = 80 - u. What is the greatest common factor of r and 177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(6\/(-8)))\/(115935\/(-7729))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16682 by 8.\nAnswer: 8341\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12456 and 40883706.\nAnswer: 163534824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 1304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 233818499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2 * 0.54\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/(3\/270*-3). Let u be (-45)\/(-2)*(-108)\/a. What is the greatest common factor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-2)\/108*1812\/8 and 19\/44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 464 + -455. Let c(v) = 3*v**2 + 4*v - 3. Let a be c(1). Solve -a*h + o*h + 20 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 22190672*d**2 - 57556705 wrt d?\nAnswer: 44381344*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -31550 + 31551. Let r = -7.1 - -6. What is the closest to r in h, 1\/6, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 24773 + -31020. What is m rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**2 - 6*s - 2. Let v(f) = f**2 + 15*f + 22. Let c be v(-13). Let p be l(c). Solve -5*u + 3*u + p = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the first derivative of 0*u**2 + 111 - 1\/6*u**3 - 1\/2*u**4 - 3\/10*u**5 + 0*u. Let y(p) = 0. What is p?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, -3, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:30 PM and 12:57 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 + z**2)*(4 - 4 + 1)*(-8 + 2 - 4)*(-2*z - 2*z + 6*z)*(-4 + 2 + 1) in the form w + k*z**2 + j*z + f*z**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 0, -12, -24, -36, -48, -60?\n\"Answer: -12*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6713.2 - -6713. What is the fifth smallest value in k, 23, 2, 0.5, 0.2?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 + (-11 - 0 - (-219 + 199))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:56 PM and 10:58 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -9*q**3 - 5*q**2 + 56*q - 5. Let a(b) = 11*b**3 + 6*b**2 - 55*b + 6. Give 5*a(c) + 6*l(c).\nAnswer: c**3 + 61*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 136251722 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -117 + 120. Solve -v*m + 10 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the third derivative of n**4\/24 + 7*n**3\/6 + n**2. Calculate a(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ouzxuo. Give prob of picking 1 z and 2 u.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -26 + -45?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 88  (b) 2\/53  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -14 + 10 + 23\/6. Sort w, 5, -2\/11, 2\/11.\nAnswer: -2\/11, w, 2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes after 3:26 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19 + 5. Let k be (z\/42 - -2)\/((-12)\/(-56)). What is the greatest common divisor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nzc when three letters picked without replacement from {h: 1, c: 1, n: 1, d: 1, z: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1927293.3us in minutes?\nAnswer: 0.032121555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 35 + -7. Let a = 31 - o. Let b(v) = -1199*v**2 - 4 - v - v + 1201*v**2. Give b(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 15) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 94 divide 483951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 277\/585 + -4\/45. Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4 + 3 - 4*t - 4 wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + l = -73 + 17, t = -4*l - 3. What is the remainder when t is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p = 12*r + 3458 - 3630, p - 3*r = 25 for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1839771.\nAnswer: 3, 367, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -267348*u - 4. Let x be d(-14). Let v = x + -1782868. Round v to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 137  (b) -3  (c) -2\/3  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -221*w + 1098. Give i(9).\nAnswer: -891","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -g + 2*g - 72*g**2 + 631*g**2.\nAnswer: 559*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 252\/(-35) + -2*2 and 3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -8*w. Let k(s) = 89*s + 10. Let x be 40\/300 - (-47)\/(-15). Let q(i) = 46*i + 6. Let a(y) = x*k(y) + 5*q(y). Give v(a(u)).\nAnswer: 296*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g - 2*g - 4312. Let d(x) = 444*x - 169. Let q be d(5). Let i = q + g. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 45 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1990655 to the nearest integer?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1817421 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 4*b**3 - 3*b - 6*b + 6*b + 6 - 3*b**3 - 6*b**2. Determine q(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -13*z - 123. Let m be c(-13). What is the greatest common divisor of 253 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 46*r**4 - 26*r**4 + 43*r**4 + (-2*r**3 + 2*r**3 - r**3)*(4*r - 2*r - r).\nAnswer: 62*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p + 1. Let t(s) = -3*s + 2*s - 17 - 8 + 27. Let g(i) = o(i) - 2*t(i). Determine g(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 86*x + 10*x - 22*x - 34*x to i + d*x and give d.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11779.2 litres to millilitres.\nAnswer: 11779200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 6*m**2 + 2*m + 1. Let g be k(-1). Let s(q) = q - 9. Let p be s(6). Let t = 4 + p. What is the highest common divisor of t and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 436729, 436916, 437103, 437290, 437477, 437664?\nAnswer: 437851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1642419 minus 55256010?\nAnswer: -55256009.8357581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*b**4 - 3*b + 7*b + b**2 + 2 - 1 + 1 as s*b + x*b**4 + y + j*b**2 + f*b**3 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -39091 - -82823. Let q = -63732 + z. Round q to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (315\/70)\/((-3)\/(-2)). Solve -k*q - 6 = -4*t, 3*t + 17 = 4*q + 6*t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 17*u + 21*u + 8 - 39*u. Let t be g(3). Solve -t*b = -b + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*j**2 + 2 + 129*j - 129*j to the form f*j + a*j**2 + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-3)*6\/(-4). Suppose -37 = d + 2*h - 16, 0 = -d + 5*h - 28. Let c = d + 23. Which is smaller: f or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 147 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(3 + (sqrt(288)*-3)**2 + (sqrt(2) - (sqrt(20)\/sqrt(40) - sqrt(2)) - sqrt(2)) + sqrt(2))*2 + 5.\nAnswer: 9*sqrt(2) + 15575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that 2*l**4\/15 - 5228*l**3\/15 + 1046576*l**2\/5 + 5228*l\/15 - 627946\/3 = 0.\nAnswer: -1, 1, 935, 1679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b = 6 + 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4692194 and 19578.\nAnswer: 14076582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 + 2 - -11) + -3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the third derivative of -1\/80*c**5 + 0*c + 1\/280*c**7 + 1\/480*c**6 + 1\/1344*c**8 - 1\/48*c**4 - 96*c**2 + 0*c**3 + 0. Factor z(n).\nAnswer: n*(n - 1)*(n + 1)**2*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2 - 6*c - 3. Suppose 5*q = -0*q - 25. Let o be k(q). Suppose -o*a = -74 - 122. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 18 = 7*a - 3*a, -a + 4 = -d. Let h(c) = -4*c - 5. Calculate the remainder when d\/(-9) + (-2510)\/(-45) is divided by h(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13.9 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 167, 4, -3267, -3 in decreasing order.\nAnswer: 167, 4, -3, -3267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -104 + 166. Let l = k + 66. Suppose 0 = -11*q + 13*q - l. Solve q*o + 16 = 6*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -3*q - 10. Let i(h) = 9. Give i(z) - y(z).\nAnswer: 3*z + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 57, 107, 159, 213, 269, 327?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 (base 10) in base 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*v - 665 = -37*v - 63*v. Solve 5*f = -w + 25, -4*f + 2*w - v = -5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange n - 5 + 226*n**2 - 12 - 9 + 33 - 8 to the form x + u*n + d*n**2 and give d.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 6169 and -13262.\nAnswer: -81813278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/360188 and -119\/203880.\nAnswer: 10805640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 1, -16 = -3*n + 4*b - 0*b. Solve 34 = n*k + 54 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (5 + 1 + sqrt(325)*5 + -3*sqrt(325)*5)**2.\nAnswer: -600*sqrt(13) + 32541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**3 - 165*m**2 + 854*m + 714. Give x(-170).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45 + 7*b**2 - 45 - 9*b**3.\nAnswer: -9*b**3 + 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10 + -6. Calculate the greatest common divisor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*b**5 - 4*b**5 + 2*b**5 + (-b**2 + 0 + 0)*(-2*b**2 + 2*b**3 + 2*b**2) - 730*b**5 + 1460*b**5 + 4349 - 731*b**5.\nAnswer: -5*b**5 + 4349","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1270*j**3 - 11*j**2 - 28*j wrt j?\nAnswer: 7620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -431291 by 7.\nAnswer: -61613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**5 - 10*m**4 - 18*m**3 + 162*m**2 - 216*m.\nAnswer: 2*m*(m - 3)**3*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(931)*-3 - sqrt(931)).\nAnswer: -28*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**2 + t - 1. Let u(m) = m**2 + m + 1. Let z(j) = 9*j**2 + 3*j + 8. Let l(o) = -4*u(o) + z(o). Give l(r) + 3*w(r).\nAnswer: 2*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 38.91067897 to 0 dps.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 o when three letters picked without replacement from pppeeeeoo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19 - -23. Let r(y) be the second derivative of 0*y**3 + y - 1\/4*y**v + 0 + 0*y**2. Let x(i) = 2*i**2. What is x(r(s))?\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1050\/379 or -1\/2?\nAnswer: 1050\/379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5069184 millennia in decades?\nAnswer: 50.69184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3014 and 33428?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qyy when three letters picked without replacement from yqyyqyyyyyyq.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 118*a + 12 = 934 - 41 + 3013 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (28\/9)\/(25\/(-9) - -3). Solve -2*o + 0*i + 2*i = -2, -4*o - 2*i = a for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -155, -156, -157?\n\"Answer: -m - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29414 is divided by 5756.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35610?\nAnswer: 2, 3, 5, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1427.166 years to millennia.\nAnswer: 1.427166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i + 3*j, -4*i - j + 0*j + 16 = 0. Suppose -2*d - 1 + 39 = -4*v, -d + 15 = -i*v. Calculate the greatest common factor of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -99 - -7.1.\nAnswer: -91.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -10  (b) 1\/2  (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 161\/1800 and -27\/50.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.1 - -2.0999. Let v = 0 - r. What is v rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3919 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of c**3 - 29 - 5*c**2 + 29 wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 76 + -28. Suppose -g - z + 60 = 0, -8*z - t = -g - 3*z. Let y = g - -22. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w**2\/4 - 33633*w + 3690555 = 0 for w.\nAnswer: 110, 44734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*i + 42*i - 45 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -33824 + 34060. What is the greatest common factor of j and 16166?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*4*-1*(5 + (sqrt(56) + (3*sqrt(56) + sqrt(56))*-6)\/sqrt(2))**2.\nAnswer: -59348 + 1840*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*k**4 + 2*k**4 - 4*k**4 + (345*k**2 - 245*k**2 + 301*k**2)*(-4*k**2 + 0*k**2 + k**2) to y*k**4 + z*k**2 + x + i*k + l*k**3 and give y.\nAnswer: -1201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((n*(n*n*(n\/n**(-1\/9))\/n)\/n*n)\/n*n*n**(-8\/5))**49)**2)**(-1\/3) assuming n is positive.\nAnswer: n**(-6664\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -397 + 402. Which is the closest to -1?  (a) -0.17  (b) y  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 138*v + 3\/5*v**2 + 7935 = 0. Calculate v.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 4141 and 1557 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in l**3 - 5*l**2 + 119*l + 5*l**2 - 288 - 119*l + 235.\nAnswer: l**3 - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, w: 6, k: 3, x: 2}. What is prob of picking 1 x, 1 k, and 1 w?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes after 1:25 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 148\/899 or 0?\nAnswer: 148\/899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) 272\/3  (c) -1.51  (d) 171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2314680 and 42590112?\nAnswer: 212950560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 116077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -4, 8, 7 in ascending order.\nAnswer: -4, 0, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 0.6625924s?\nAnswer: 662.5924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -78*a**2*r*u - 550800*a**2*u - a*r*u - 3645*a*u + 145*a - 5*r + 4*u wrt a?\nAnswer: -156*r*u - 1101600*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1315 + 1310. Sort w, 0, -16.\nAnswer: -16, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 25140 or 603383\/24?\nAnswer: 25140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -22*(-3)\/(-1 - -7). Calculate the greatest common divisor of n and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 171 is divided by 55.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 784734 is divided by 87189?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -365 or -2.83?\nAnswer: -2.83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**3 + n**2 + 3*n + 5. Let k be (-2)\/(-4)*(6 + -14). Let r(p) = -8 - 4*p + 0*p - 2*p**2 + 2 + 2*p**3. Give k*c(h) - 3*r(h).\nAnswer: -2*h**3 + 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*u = 112*u - 1976 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -4*f**2 + 22*f + 8. Let a(m) = 8*m**2 - 47*m - 17. What is 6*a(z) + 13*d(z)?\nAnswer: -4*z**2 + 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1009924112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -86546386.96 rounded to the nearest one million?\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*h - r - 1905 + 1899, -3*h + 43 = -5*r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2a5 (base 13) to base 9.\nAnswer: -575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -6444 and -4.\nAnswer: 25776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -118062 divided by -6?\nAnswer: 19677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 45.1 - 48. Let f = -0.9 - m. What is the third smallest value in 4, 2\/9, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2371964, 4743928, 7115892?\nAnswer: 9487856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 10*k**3 - 6*k**2 + 3. Let b(m) = -21*m**3 + 13*m**2 - 7. What is 3*b(t) + 7*g(t)?\nAnswer: 7*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes before 11:24 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i - 1. Let l(m) = -11*m + 8. What is -l(s) - 6*p(s)?\nAnswer: 5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11125\/89*13*5.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 + 0. Suppose -f = 4*x - 216, 2*x - 4*f = m*x - 122. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 105\/225 - 2\/(-6). Let w = -243\/5 - -49. Let x = -6.7 + 5. Which is the second smallest value?  (a) w  (b) x  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 - (-18 + 50 - 22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**2 - 11*g - 9. Let k be 74\/6 + 3\/(-9). Let a be t(k). Find the second derivative of 3*n**3 - 14*n + 11*n + n**a wrt n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 36257430723337.4 + 1.\nAnswer: 36257430723338.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (((sqrt(1377) + 3*(sqrt(1377) + sqrt(1377) + 0))*-6)**2 - (-2 + (sqrt(1377) - (-1 + sqrt(1377) + 2))**2 + sqrt(1377))))*4.\nAnswer: -36*sqrt(17) + 9716132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3324212.\nAnswer: 2, 29, 28657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -275\/1264317 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -7, -17.\nAnswer: -17, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -808*k + 128*k**2 + 22*k**3 - 53*k - 264*k**2 + 134*k**2.\nAnswer: 22*k**3 - 2*k**2 - 861*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -3363.0678853 plus -0.6?\nAnswer: -3363.6678853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -417*t**2 - 1673*t + 836*t + 837*t + (2*t - 4*t - t)*(2*t + 3*t - 4*t).\nAnswer: -420*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, -4, 2, -7, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j - 7. Let d be m(7). Let i(b) be the second derivative of b**4\/3 + b**3\/3 - b**2\/2 - 2*b. Let v be i(1). Solve d*t = t - v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (24 - 4 - 3)*(400 - 400 - 16*i) in the form s*i + b and give s.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/((80\/(-3600)*90)\/(3\/(90\/8))).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10492038 is divided by 1165781.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:46 AM and 11:01 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 3*v - 5. Calculate the lowest common multiple of 12 and g(9).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 4*t + 1255 = 0, 10*t + 251 = d + 5*t. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*u + 2 = 70 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -3*f + 9 + 4 + 2*f + 0*f - 17. Give c(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5596897.981 - 7.5.\nAnswer: -5596905.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12 and 11388.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 + -2)\/(((-6)\/75)\/1). Suppose -4*q + b = 3*b + 10, -5*q - v = 5*b. Suppose 3*n + y - 362 = 0, q*n + 4*n - 2*y = 476. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 964*x**3 - 822.\nAnswer: 2892*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -28*m**2*q - 327*m**2 - 20790*q wrt m.\nAnswer: -56*m*q - 654*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 810778757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are 461\/4 and 114 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**2\/5 - 89*u\/5.\nAnswer: u*(u - 89)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*b - 3*b - 2 + 16*b + 0*b.\nAnswer: 24*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 7*y - 3*y - 28, -5*y = -4*r - 32. Calculate the highest common factor of 232 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b*b**(-2\/9)*b*b*b**(-4\/11)*(b**1)**(-10\/9) assuming b is positive.\nAnswer: b**(43\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from {e: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2*a + 1 + (3 + 1 - 2)*(2*a + 4 - 4) + 0*a - a - a)*(905*a**2 + 202*a**2 + 630*a**2).\nAnswer: 6948*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -144 + 246. Suppose -3*p - 4*s + 87 = 0, -3*p = 2*s - 3*s - n. Does 17 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 725895976.\nAnswer: 2, 13, 6979769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 112*s**2 - 2*s - 117*s**2 - 38 + s + s to the form v + q*s**2 + l*s and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.1, -1\/4, -1\/3, 10\/29, -1, 4, -7\/17?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4730)\/473*-3*1.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 + -3.3. Let i be (-15)\/(-35) - (-2)\/(-70). Which is the third biggest value?  (a) w  (b) 9  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the second derivative of v**4\/3 - 23*v**3\/6 + 39*v**2\/2 + 68*v. What are the prime factors of u(17)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/2*-25*(-3 + 1). Suppose -5*n + 4 = -11. Suppose -2*v + 380 = n*v. Are g and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:30 AM and 5:48 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 115.27 + -115.4. Let d = -3.2043 - -0.0743. Let s = d - t. Are s and 0.6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nwnw when four letters picked without replacement from {n: 7, w: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the first derivative of 24*a**2 + 37*a + 35*a**2 - 19*a**2 - 44. Find the first derivative of s(m) wrt m.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -25 - (-6 + -6) - -4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(1\/2)\/i*i**(-1\/3))\/(i*i**1)**(1\/5) assuming i is positive.\nAnswer: i**(-37\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*d + 3*d = 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(76)\/(sqrt(16)\/sqrt(4)) + -6*-1*sqrt(19).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 18003721 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-202799988)\/(-10))\/3 - (-14)\/35. What is o rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-534)\/2 + -2 + (7 - 11). Let m = 468 + r. Is 26 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2569 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 24\/193973 and 36\/13?\nAnswer: 193973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 494, 496, 498?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 19  (b) 8  (c) -20  (d) -2  (e) 0.608  (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -870*g + 14961*g**3 + 2616*g - 865*g - 14964*g**3 - 869*g.\nAnswer: -3*g**3 + 12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/6156 and 151\/1944?\nAnswer: 36936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.05?  (a) 5  (b) 3  (c) -18  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3049 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 102.9 + -103. Put j, 0, 2\/11 in increasing order.\nAnswer: j, 0, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, -4, 4, -0.02, -0.5, 41 in ascending order.\nAnswer: -4, -0.5, -2\/7, -0.02, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 7\/12, -5\/3, 3.5, 63\/65?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-1\/7)*f)\/(f\/(f\/(f*f**(1\/4)*f*f)*f*f)))**10\/((f\/(f*f**(2\/27)))\/f*(f\/(f**(1\/5)\/f)*f*f)\/f)**(-1) assuming f is positive.\nAnswer: f**(14737\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 10 - 13*c**2.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = c + 1, -4 = -3*c + 4*t + 8. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b4 (base 13) to base 7.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 23690 and 2575.\nAnswer: 118450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 20563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -328*j = 740*j - 205*j + 299*j + 96446 for j.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 + 1010011000?\nAnswer: 1010010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**2 - 2*y + 3. Suppose -2*n = -3*j - 17, 161*j - 160*j = -5*n + 34. Let u(h) = 1. Determine j*o(b) + 3*u(b).\nAnswer: b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the third derivative of 0*n**3 + 0 - 1\/15*n**6 - 1\/15*n**5 + 101\/12*n**4 + 41*n**2 + 0*n. Find the second derivative of f(l) wrt l.\nAnswer: -48*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23 - -293.04559\nAnswer: 270.04559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from {i: 4, w: 1, c: 1, f: 2, d: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14006945.56 - -0.063916.\nAnswer: -14006945.496084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*p**5 + 37*p**4 + p**2 - 40898*p wrt p?\nAnswer: 120*p**3 + 444*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 3*((sqrt(22) + sqrt(22)*-2*2 - sqrt(22))\/sqrt(11) - (sqrt(32) - sqrt(1568)*-2)).\nAnswer: -192*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 12*d**3 - 9*d**2 + 40*d - 9. Let v(z) = 5*z**3 - 4*z**2 + 19*z - 4. Calculate -2*r(j) + 5*v(j).\nAnswer: j**3 - 2*j**2 + 15*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -12551714 (base 8) in base 9?\nAnswer: -5247101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52500000 = x + 2*x. Round x to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2120694, 4241385, 6362076?\n\"Answer: 2120691*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and 8873095?\nAnswer: -35492380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -1, 13\/3, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the third derivative of 0 + 11\/60*z**5 + 0*z - 7*z**2 + 1\/12*z**4 + 0*z**3. What is the second derivative of p(m) wrt m?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10.043 - 2.527. Let p = m - -0.57. Let i = 10 + p. What is the closest to -1 in -1, i, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -36 + -11?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - 3 - -3) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-29)\/14)\/((-216)\/(-48)). Let q = -2\/63 - m. Factor 1\/7*z**3 + q*z**2 + 2\/7 - 5\/7*z - 1\/7*z**4.\nAnswer: -(z - 1)**3*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -3*x - 18. Let b(o) = -4*o - 20. Let d(u) = u**3 - 9*u**2 - 23*u + 6. Let h be d(11). Let k(n) = h*b(n) + 6*l(n). What is k(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39216673.\nAnswer: 39216673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000007195 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 12) to base 13.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:11 AM and 1:55 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**3 - z**2 - 3*z - 5. Suppose 0 = 5*m - 4*d, 0*m + 5*m - 10 = 2*d. Is j(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*d - 3*d + 2*d)*(4*d**3 + 4*d**3 - 3*d**3) + (5*d**2 + 5*d**2 - 4*d**2)*(d**2 + 0 + 0) in the form f + m*d**2 + c*d**4 + l*d + w*d**3 and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:51 AM and 10:11 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*l**2 + 5*l**2 + 4*l**2 + 3*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 33726 and 421.\nAnswer: 14198646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 103*h**2 + 91 + 72 - 163.\nAnswer: 103*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4325811141 - 12020692430. Let u = c + 7694881337.99999887. Let t = u + -49. Round t to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -411 * 10101\nAnswer: -4151511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in 1, -1225, 0.4, -1\/10, 2\/9?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2, -1090, -8, 1 in decreasing order.\nAnswer: 1, -2, -4, -8, -1090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16491, -16488, -16485?\nAnswer: -16482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 3*b**3\/2 - 2313*b**2 + 1798143*b\/2 - 6180678 = 0?\nAnswer: 7, 747, 788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -2*u - 1. Let o be z(-2). Suppose w - 2*r - r = -o, 4*w = 2*r - 12. Sort 4, w, 5.\nAnswer: w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -3*r + 1. Determine y(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 + -4. Suppose -d*o = s - 5*s + 64, -3*o = 0. Suppose -g = -5*g + s. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23 + 44 - 21 - 6*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 - 1\/2)\/((-2)\/4). Let y(k) = k**2 - 3*k - 1. Let g be y(3). Let r = 0.1 + -0.3. Which is the closest to g?  (a) r  (b) h  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -123210320100 (base 4) to base 8\nAnswer: -33447020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -18*c**3*q**2*u**2 + 5*c**3*q**2*u - 2*c**3*q - 24*c*q**2*u**2 + 21*c*q**2*u + 2*q**2 wrt u?\nAnswer: -36*c**3*q**2 - 48*c*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.4  (b) 2  (c) 1  (d) -4  (e) 12\/7  (f) -0.004  (g) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**2 + 18*n + 78. Let o be w(-22). Let l = o - 68. Calculate the least common multiple of 18 and l.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3.5 - 3.558. Let m = 19.41 + -19.27. Let b = z + m. Round b to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2.39, 2\/5, 2\/3 in decreasing order.\nAnswer: 2\/3, 2\/5, -2.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - 5. Let p(v) = -5*v**2 - 4*v + 31. Let n(j) = j**2 + j - 6. Let h(s) = 11*n(s) + 2*p(s). What is the units digit of h(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 7*(-33)\/(-308)*20\/18. Let u(s) be the second derivative of 0 + 2*s - p*s**3 - 2*s**2. What is the first derivative of u(d) wrt d?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 820584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 3*o**2 - 1. Let b be z(2). Which is smaller: b or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 108 and 135383604?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 681*t - 238*t + 1042*t + 256*t - 29*t to the form d + q*t and give q.\nAnswer: 1712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 157*h = 46*h + 315 - 93 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m**3\/2 + 2221*m**2 - 14203*m\/2 - 1929130 = 0. What is m?\nAnswer: -4445, -28, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8397 - -8396.5. Which is the second biggest value?  (a) 5\/11  (b) 0.13  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 1 = 3*z. Let d(u) = -u. Let w(l) = -24251*l - 32. Let b(t) = z*w(t) - 3*d(t). Let p be b(16). What is p rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 97, 153, 313, 631, 1161, 1957?\n\"Answer: 9*g**3 - 2*g**2 - g + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 25603, 25676, 25775, 25900, 26051, 26228?\n\"Answer: 13*i**2 + 34*i + 25556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t**5\/9 - 46*t**4\/9 - 88*t**3\/3 - 440*t**2\/9 - 224*t\/9 = 0. What is t?\nAnswer: -2, -1, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 22358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4796971.\nAnswer: 31, 271, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*n + w + 26 = 49, -4*n = 4*w + 16 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6042 is divided by 56?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = -5*i + 4, -7*a = -4*i - 8*a + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4230 (base 6) in base 13?\nAnswer: -585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(18))**2 + -2 + sqrt(2))*-4*-4.\nAnswer: 16*sqrt(2) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4.3 - 4. Let u = -152 + 153. Let q be (((-8)\/(-18))\/(-4))\/(u\/3). Sort 0.5, i, q.\nAnswer: q, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 12, 1.8, -145, -1.86 in ascending order.\nAnswer: -145, -5, -1.86, 1.8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1031, -1031, -1041, -1067, -1115?\nAnswer: -1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 52\/(-13) + -3 + 12. Suppose 4*i - 10 = 3*q + 2*i, -q = k*i + 9. Sort -3, q, -6 in decreasing order.\nAnswer: -3, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 141 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -15*j + 6. Let a be (2 - 70\/15)*3\/2. Let b be (-33*(-14)\/(-63))\/(a\/(-6)). Let g be p(b). Calculate the highest common divisor of 19 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**20*y\/(y\/y**7*y))\/((y\/((y\/(y\/y**(-1\/2)))\/y))\/y**5) assuming y is positive.\nAnswer: y**(59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -3*w + w. Suppose -20 = -w*v, 5*v = 4*i + i - 5. Suppose 5 = 5*r - 5. Solve 0 = d - 5*f + 4 - r, 2*d + i*f + 4 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22383133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ro when two letters picked without replacement from czmprzo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2046 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g. Let n = -5 - -7. Let y(c) = n*c**2 - 2 - 4 + 6. Determine p(y(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (359346*j**2 + j - 359346*j**2 - 1 - 14*j**4 - 2*j**5)*(-1 + 0 + 4)*(-1 + 1 - 1).\nAnswer: 6*j**5 + 42*j**4 - 3*j + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-1)\/w)**(-10)\/(w**7*w**1))**(-2) assuming w is positive.\nAnswer: w**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28, 13, -12, -47, -92, -147?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 127392 divided by 10616\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**3*g**(-18)*(g**13\/g*g)\/g**(-15))**(-4\/3) assuming g is positive.\nAnswer: g**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*z - 38*z - 122 = 29*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (25\/5)\/(-5) + 115?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z + 4. Suppose 4*a + 3*l - 6 = 0, 2 + 4 = -3*l. Calculate the smallest common multiple of 9 and b(a).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 76*y**2 - 3*y - 20. Is j(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-6)\/33 + 501\/33?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*p**4\/3 - 4226*p**3\/9 - 4352*p**2\/9 - 58*p\/3 = 0. What is p?\nAnswer: -87, -1, -1\/24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**3 + 389*b**2 + 295*b - 98.\nAnswer: -(b - 98)*(b + 1)*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 2984 divide 398731032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 683682 is divided by 122?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**2 - 7*r + 5. Let n be z(-7). Let o(f) = 7*f + 1. Let x(v) be the second derivative of -1\/2*v**2 - v - v**3 + 0. Calculate n*o(m) + 6*x(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 228 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (-4 + 0) - 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -145 + 200?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 467909, 467912, 467929, 467966, 468029?\n\"Answer: b**3 + b**2 - 7*b + 467914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:54 PM and 12:45 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 6 - 11*a + 1 + 2.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nsppzfv. What is prob of sequence pzf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13039 is divided by 13029?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the first derivative of 0*i + 3\/2*i**2 - 1\/4*i**4 - 3 + 0*i**3. Find the second derivative of m(z) wrt z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(40)\/sqrt(200) - sqrt(5)) + sqrt(5) - (-1*sqrt(50)\/sqrt(10))**2 - (sqrt(160)\/sqrt(4)*-4)\/(sqrt(16)\/sqrt(2)*-1).\nAnswer: -19*sqrt(5)\/5 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -6 * 2427731\nAnswer: -14566386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2075*o - 5397*o - 5123*o + 16 + 298*o.\nAnswer: -12297*o + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 202 (base 4) to base 3.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/14 and 70\/111.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -1179520.41 to the nearest ten thousand.\nAnswer: -1180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 13454167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 306 is divided by 73?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that 2*u**4\/3 + 76*u**3 - 308974*u**2\/3 - 516496*u - 1240288\/3 = 0.\nAnswer: -452, -4, -1, 343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 21 - 30. Let m be 54\/2 + 9 + v. Calculate the highest common factor of m and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/779 and 53\/1558.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -634*n + 628*n - 6*g + 78, -2*n = -g - 29 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 12*a**2 - 85*a. Let t(q) = -19*q**2. What is d(t(m))?\nAnswer: 4332*m**4 + 1615*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -17.9 + -30.1. Which is the closest to 1\/3?  (a) -2  (b) y  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 906 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -26519 divided by -26\nAnswer: 26519\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 100\/(-6)*72\/48. What is the smallest common multiple of 1 and (18 - -5)\/(70\/v - -3)?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 6*b**3 + b**2 + b - 1. Let a(r) = -51*r**3 + 78*r**2 - 9*r + 9. Let c(n) = a(n) + 9*q(n). Factor c(d).\nAnswer: 3*d**2*(d + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 602418740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1110001011010 (base 2) to base 14\nAnswer: 2906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 10*w**3 + 30*w**2 - 1. Let h(d) = 18*d**3 + 60*d**2 - 1. Give -6*h(b) + 11*v(b).\nAnswer: 2*b**3 - 30*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 239875612?\nAnswer: 2, 59968903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.8835446428 to two dps.\nAnswer: -1.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 8720217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -42586, -42584, -42582, -42580, -42578?\n\"Answer: 2*w - 42588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 39 + -23. Calculate the remainder when c - (-3 - 0) - -2 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express q - 3*q - 3*q + (q - 3*q + 4*q)*(-1 - 3 + 1) - 4*q + 8*q - q as w + u*q and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 4*y = -3*i + 52, 17 = i - 3*y. Suppose -96 + 24 = -i*u. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(112) + -4 + 3*(sqrt(21)\/sqrt(3) + sqrt(7)) - (-3 + 2*sqrt(700))*3.\nAnswer: -50*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 - 1 = -5*g. Suppose -g*z + 12 + 30 = 0. What is the remainder when 2\/8 - 219\/(-4) is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-2\/27)*m)\/m)\/((m*(m\/(m*m**(-4)\/m))\/m)\/m)*m**8*m*m**(-1) assuming m is positive.\nAnswer: m**(106\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 252 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 4 - 2)*(3*f - 2*f + 0*f) + 0*f + 5*f - 6*f - 181*f + 49*f + 60*f)*(0 + 1 + 6).\nAnswer: -518*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * 6873.\nAnswer: 2061.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t**2 + 5*t**2 - 3*t**2)*(-3*t + 2*t - 2*t + (4 + 3 - 6)*(4 - t - 4) + 0*t + 3*t - 4*t)*(-36*t - 110 + 110).\nAnswer: 180*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 79293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**2 + 21*b + 42. Let f be 633\/(-33) + 16\/88. Let j be i(f). What is the third derivative of -194*v**2 + 174*v**2 - 14*v**4 - 9*v**j wrt v?\nAnswer: -552*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -3\/848 and -87\/332840?\nAnswer: 665680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 69*j. Let x(h) = -23*h. Give -4*q(t) - 11*x(t).\nAnswer: -23*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 106 + -68 + -34 + -44\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -187\/77277000 and 89\/4636620.\nAnswer: 231831000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -73.3067416 to one dp.\nAnswer: -73.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 + 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 5*a**3 - 2*a**2 - 2. Is x(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(84)*2 - sqrt(84))\/(sqrt(8)\/(sqrt(2)*-1)))\/((2*sqrt(72))\/(sqrt(486)*-2 + sqrt(486) + sqrt(6))).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**2 + 19*a + 6. What is t(19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2\/15  (b) 0  (c) 0.1  (d) 0.02  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gccg when four letters picked without replacement from gccccccgcccc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21 (base 4) to base 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 4*t + 74. Let c be u(-18). Suppose w + 54 = -c. Let g = 76 - 133. Which is bigger: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -4*s + 993, s - 4*s = -3*p + 3054. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.1 or 3\/9464?\nAnswer: 3\/9464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -2186*f - 483. Is g(-40) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 - 32*s**2 - 35*s + 68. Let a be o(33). Suppose 0 = a*g - j - 10, -5*j = g + 16 + 1. Let w = 1 + 4. Solve w*u = -2 - g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -42*t**2 + 9*t + 45. Give k(4).\nAnswer: -591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/((-196)\/(-8)*236\/(-413)*1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**2 - 12*d + 18. Let u be b(-12). Let z be 140\/(-30)*(u\/7)\/(-1). Let n(y) = -y**2 + 5 + 5*y + 6 - z - 2. What is n(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 573 and 3492626?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 59 - 58.999984. Round o to six decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41281619293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.049089l to millilitres.\nAnswer: 3049.089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of l**3\/6 + l**2\/2 + 7*l. Let v be g(3). Let k(r) = r**2 - 2*r. Give k(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(128) + 1*sqrt(128)*1).\nAnswer: 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 577*s**2 + 6387*s + 433. Calculate k(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes after 10:57 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -75 - -180. Let i(v) = v**2 - 4*v - 18. Let x be i(-6). Suppose 12*t - 10*t = x. Calculate the greatest common factor of t and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54819 (base 11) in base 12?\nAnswer: 3a025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2172.1 rounded to the nearest ten?\nAnswer: -2170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -19 + b**3 - 10 + 3 - 8 in the form d + v*b**2 + w*b + j*b**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 148*d + 3. Let w be n(4). Suppose 8*l = l + w. Calculate the remainder when l is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 13*n**2 + 44*n - 42. Let x be o(1). Let h(r) = 38 - 4*r - 3*r + 2*r. Let q be h(x). Round q to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 17 = 5*g, -4*y - 9 = -g + 4. Let h(i) be the second derivative of i**3\/6 - 2*i**2 + 308*i. What is h(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -3*n**3 - 2*n**2 + 9*n. What is the units digit of q(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1838 - 1837. Let z(j) = -9*j + 10. Let h(c) = -1. Let i(m) = -6*h(m) - z(m). Let f be i(x). Solve f*g = 2 + 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 3*s**2 - 11*s + 8. Let v be m(-9). Suppose 6*q + q = -v. Let z = 549\/11 + q. Find the common denominator of z and -45\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1738800 is divided by 3324.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-7 - (-5 - -2)) + 186.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 8 + 252*i**3.\nAnswer: 252*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 - -5. Let j(m) = 2*m**2 + 11*m**u - 2*m**2. Let b(z) be the second derivative of z**3\/3 - 2*z. What is b(j(g))?\nAnswer: 22*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/(h*h\/(h*((h**7*h)\/h*h*h*h)\/h*h)))\/h**0)\/((((h*h*h\/(h*h**(-1\/4)*h*h))\/h)\/h)\/h*h*h**2))\/(h**2*h**(3\/8)*h**7*h*h**1\/h*h) assuming h is positive.\nAnswer: h**(-13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 4)*(44 + 0 + 47)*(-9 - 3*q**4 + 9 + (0*q**2 + 2*q**3 + 0*q**2)*(q + 1 - 1) - 3*q**4 + 6*q**4 - 2*q**4 + 0*q + 0*q + 2*q**4).\nAnswer: -364*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14 + 21. Let o = l - 2. Calculate the remainder when 18 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 37 + 58 = -x, 5*p + 2*x - 80 = 0. What is the remainder when 71 is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 110*l - 53*l - 56*l. Let j(c) = 6*c + 2. What is -j(f) + 8*z(f)?\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1045 and (-75)\/6*84\/(-105) - -1244?\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 140 a factor of 168567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 + -144?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ytyltuupwtu. What is prob of picking 2 u, 1 p, and 1 y?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 6*a**3 + 4. Let c(l) = -l**2 - 28*l + 133. Let n be c(-32). Let m(y) = -36. Let o(t) = -7. Let v(d) = n*o(d) - m(d). Give -b(g) + 4*v(g).\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(1216)*5 + -3 + 1*sqrt(1216) + -3)**2.\nAnswer: -576*sqrt(19) + 43812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/3826130 and -129\/944110?\nAnswer: 72696470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 206501 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**2 - s + 1. Let f be h(-2). Let n be -2*f\/2 - 1. Solve n = -0*k + k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (876*53\/(-212))\/3?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 228 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -350, -698, -1046, -1394, -1742?\n\"Answer: -348*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 6 = -3*u, 2*u = a + 2 - 5. Let s(i) = -i**3 + 2*i + 1. Let p be s(-2). Let b be a*2\/3 + p. Solve 0*y - b*y = -9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -159  (b) -0.2  (c) 0.4  (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qz when two letters picked without replacement from qqqjqqzqqzqqqzj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -41 + ((-5 - (-17 + 23)) + -1 - -8).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 50768 and 399.\nAnswer: 1066128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -81 - 18 - 73 + 7 - m**2.\nAnswer: -m**2 - 165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -15458, -15567, -15676, -15785?\n\"Answer: -109*n - 15349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u\/(u**(2\/17)\/u))\/(u\/(u\/u**(-2\/11))))\/((u*u**(2\/7)*u)\/u**13))**(2\/25) assuming u is positive.\nAnswer: u**(36072\/32725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(-2\/23))**(2\/69)\/(t*t\/(t\/(t\/(t\/(t*(t\/t**(-3)*t*t)\/t)))))**(-3\/13) assuming t is positive.\nAnswer: t**(33977\/20631)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -170*a + 174*a = -24 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1\/248 + 1237\/744. Let k = g - 4\/3. Factor -4\/3 + 8\/3*v - 5\/3*v**2 + k*v**3.\nAnswer: (v - 2)**2*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ysyysyyyyyyyysyyyysy?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((((-6)\/3)\/(-30))\/(931\/(-1330)))\/(2\/(-180)).\nAnswer: 60\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v + 3*f + 178, 2*v + 50 = -118*f + 123*f. Sort -1, 0, v, -5 in ascending order.\nAnswer: v, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*y - 1281 = -5*y - 31*y for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 254 and 5.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -146830134, -293660268, -440490402?\n\"Answer: -146830134*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2312 by -578.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*w - 12 = 26*w. Let m(b) = -b**3 - 2*b**2 + 2*b. What is m(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9735306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.69997955 rounded to 3 dps?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m\/(((m\/(m**(-9)*m))\/m)\/m)*m*m)**(-1\/32)\/(m**27\/(m*m**7)) assuming m is positive.\nAnswer: m**(-605\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.2261119 rounded to three dps?\nAnswer: 4.226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 31302010 - -1?\nAnswer: 31302011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*s - 26434 - 3*s - 11*s + 26434.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 3 = -9. Suppose 2*y + 0*y - s = 0. Suppose -165 = -y*n + n. Is n a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**3 + 7*d**2 - 22*d - 93. Calculate h(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -1, 1\/3, -2\/15, 407?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 110142180 and 524.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 14 and 23\/109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the second derivative of v**7\/399 + 11*v**6\/285 + 21*v**5\/190 - 35*v**4\/114 - 94*v**3\/57 - 48*v**2\/19 + 1016*v. What is u in l(u) = 0?\nAnswer: -8, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(304)*3*4)**2.\nAnswer: 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 270718267?\nAnswer: 509, 531863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(150)\/(sqrt(5) + sqrt(320)) + sqrt(240)\/sqrt(8)*5)\/(5*sqrt(810)*2*1).\nAnswer: 23*sqrt(3)\/405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -11243*w**2 - 205*w - 9996428 wrt w?\nAnswer: -22486*w - 205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002446232 to 6 dps.\nAnswer: -0.000245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5132048 is divided by 45416?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 78*m**3 - 2*m**2 + m + 1. Let d be r(2). Let p = d - 1765\/3. Let n = p - 31. Which is the biggest value?  (a) -3  (b) 1\/5  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 3*o**3 - 2*o**2 + o + 2. Let w be a(2). Let t = 17720 - 16740. What is the greatest common factor of t and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 8\/225 and 113\/90.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 846 a factor of 75168792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k - 6 + 3, 0 = -2*p + 5*k - 9. Determine u so that 5\/2*u**2 - u - 1\/2*u**p - u**4 + 0 = 0.\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 383*o - 1134*o + 372*o + 362*o.\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -16*o**2 + 3*o + 2. Let g be z(-1). Which is smaller: g or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - 30 = -4*q, -9*n = 3*q - 5*n - 35 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9, 310, 843, 1590?\nAnswer: 2551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -8, -8 = 2*o + 5*s - 13*s. Let t(i) = 4*i - 15. Determine t(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 876311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + 2 + 9 - (-3 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2501 (base 6) to base 12\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = -4*p - 2. Suppose -156 = -5*z + p. What is the highest common factor of 264 and z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 11) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2568009 and 0.2.\nAnswer: -513601.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -44602 + 71481. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.11, 7, 0.22, 0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -684\/11 or -61?\nAnswer: -684\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 364 and 1372?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -2*k**2. Let s = 140 + -144. Let v(j) = 2*j + 3. Let w(l) = 19 + 3*l - 25 + 10. Let g(p) = s*v(p) + 3*w(p). Calculate n(g(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -5 times -2897\nAnswer: 14485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 != 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -27391601 * -0.6\nAnswer: 16434960.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the second derivative of -1837*b**4\/12 - 926*b**2 - b + 2. What is the derivative of p(k) wrt k?\nAnswer: -3674*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 604757186828 less than -0.5?\nAnswer: -604757186828.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 681 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**2 + 7*m + 8. Give t(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 124.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -2*n. Let w(s) be the third derivative of 0*s**4 - 1\/30*s**5 + 0 + 0*s - 28*s**2 + 0*s**3. Determine c(w(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -207 + 235. Suppose -c = 9*n - 1. What is the third smallest value in 0.1, n, -15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the third derivative of 299*m**8\/112 - m**5\/20 - m**4\/8 + m**3\/2 + 8*m**2 - 249*m + 1. What is the third derivative of b(c) wrt c?\nAnswer: 53820*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-3\/4)*g)**(6\/5)*(g\/(g\/(g**(-12)*g*g)))\/g*(g\/(g\/g**(-6))*g)\/g*g assuming g is positive.\nAnswer: g**(-157\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2736215206 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.3 + 0.41. Which is the third biggest value?  (a) u  (b) 3  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 481, -15, 0, 4 in increasing order.\nAnswer: -15, 0, 4, 481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**49*v**(5\/8)\/v)\/(v**(-2\/11)\/(v*v**(4\/7)\/v)) assuming v is positive.\nAnswer: v**(30417\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2023 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {t: 6, a: 4, g: 5}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5954016 by -248084.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 540157 less than -0.0876?\nAnswer: -540157.0876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 6716183087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the second derivative of v + 0 - 1\/12*v**4 - 3\/2*v**2 + v**3. Let l = 5 + -1. What is u(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n + 1. Let a(g) = 5*g - 6. Suppose 0 = -3*y + 6 - 3. Let j(h) = y*a(h) + 6*o(h). Let d(l) = -l + l - 2*l**2. Calculate j(d(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*f**3 + 3*f**2 + 2 + f**3 - 2*f**2 + 4*f**3 to u*f**2 + s*f + m + h*f**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 331*c = -326*c + 54650, 40989 = 3*l - 3*c. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**2 + 3*w + 3. Let g be s(3). Suppose l = g*n + 4*l - 36, n - 10 = -3*l. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7382014 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*a**3 + 2600307*a**2 + 26002797*a + 23402493.\nAnswer: 3*(a + 1)*(a + 9)*(a + 866759)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes before 8:37 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 884648 and 6536.\nAnswer: 722757416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -3804, -7615, -11420, -15219?\n\"Answer: 3*f**2 - 3820*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*(p\/(p*p\/p**(-2\/11)))\/p*p*((p*p*p**(-2)*p)\/p)\/p*p)\/(p*p**(1\/2)\/p)**28 assuming p is positive.\nAnswer: p**(-156\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w + j = 2, -4*w + 9*j = 8*j - 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3409, 3418, 3447, 3508, 3613?\nAnswer: 3774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 87465.\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -35 - -40. Let i(h) = 2*h**2 - 5*h + 4. Let s be i(2). Suppose 0*m = -5*m + 20. Solve s*x + 4*j - 10 = 6*j, x = -m*j - r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23 + -1 - (-22 - ((-35 - (-34 - -26)) + 7))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 603 + 2*n**2 + 2239 - n - 15068.\nAnswer: 2*n**2 - n - 12226","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.2079 + -0.1079. What is the fifth smallest value in 1\/2, f, -1, -8, -9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -23*v**2 + 80*v + 469. Determine b(-6).\nAnswer: -839","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110000001001100110010 - -10010?\nAnswer: -110000001001100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**3\/7 + 27*t**2 - 3069*t\/7 + 2883\/7.\nAnswer: -3*(t - 31)**2*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 478 - 250. Let a = -86 + l. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -2\/3, 3, -4, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 39761341 to the nearest integer?\nAnswer: 6306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 - -1533?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 696169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.2842 - -132.2842. What is the third biggest value in -2, 4\/5, y, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let i = -1201 + 1692. Suppose -3*m - 2*g = -i - 154, 0 = -4*m + 5*g + 860. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 207030715 to the power of 1\/3, to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 11 - -1 - -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/97605774 and 23\/3192?\nAnswer: 390423096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2725*f - 3*f**2 + 6*f**2 + 2756*f.\nAnswer: 3*f**2 + 31*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = 945 - 6845. Let p be ((-15)\/(-25) - (-103)\/(-5))*w. What is p rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k - 1. Let o(h) = -15*h + 6. Let z(g) = -o(g) - 6*t(g). Let x(d) be the first derivative of 0*d - 6 + 1\/2*d**2. Give x(z(f)).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -312 + -4645?\nAnswer: -5260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7961*g**4 + 2*g**3 + 44*g + 1.\nAnswer: -95532*g**2 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 15146*v. Let s(l) = l. Calculate b(s(d)).\nAnswer: 15146*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 171\/(-465) - (83 - (-18004)\/(-217)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = 4*x - 5. Let s(k) = k**3 + 3*k**2 + 3. Let r be s(x). Let w = r + -1. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 4*x. Let q be y(1). Let h = -30 - -35.9. Let g = h - 6. Are g and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4618803 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/280 and 137\/420.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1428*q - 502*q + 2600*q + 3644*q - 886*q.\nAnswer: 6284*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1027, 1034, 1053, 1090, 1151, 1242, 1369, 1538?\n\"Answer: m**3 + 1026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18503 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.5 - 0.3. Let s = 60\/11 + -158\/33. What is the second smallest value in s, n, 3, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6256 (base 13) to base 10\nAnswer: 13591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -2*x + 12, 4*x + 7*v - 3*v = 0. Which is the closest to 0.1?  (a) -0.1  (b) x  (c) -4  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s**4 + 3*s**4 + 2*s**4)*(1 + 0 + 1) + 6*s**4 + 0*s**4 - 3*s**4 - 3*s**2 + 2*s**4 + 3*s**2.\nAnswer: 11*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 9 = 2*p + 6*h, -2*p - 4*h + 10 = 0. Find the first derivative of -p*z**4 - 2*z**3 + 6*z**3 - 50 - 4*z**3 wrt z.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 = 3*i + 2*i. Solve 2*j + 5*g = 2*g - i, -5*j + 5*g + 25 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(21)\/(-3*sqrt(63)\/sqrt(9)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6.95 + -10.95. Let t be (10\/(-30) + 2)*(-2)\/(-5). Which is the nearest to 0?  (a) 0.4  (b) t  (c) 17  (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*g = -2*l + 16*g + 137, l - 70 = -g. Calculate the remainder when 157 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2 + 3 - 0) + 4. Suppose -x*q + q = 0. Factor q*n**2 - 1\/3*n**3 + 0*n + 1\/3*n**5 + 0 + 0*n**4.\nAnswer: n**3*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 265 (base 10) to base 15.\nAnswer: 12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -318503767 and -318503765 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 551855?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-5 - -6)\/((-1)\/14). Let p be (1\/(-3))\/(8\/(-72)). What is the tens digit of 3 - (p*c + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**3 + 26*s**2 - 49*s + 23. What is g(24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -2*g**5\/5 + 86*g**4\/5 + 182*g**3\/5 - 86*g**2\/5 - 36*g = 0.\nAnswer: -2, -1, 0, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4833095 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -514, 13, 0, 1, 5 in ascending order.\nAnswer: -514, -5, 0, 1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 12004877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sum 5356725 and 8202056.\nAnswer: 13558781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 56\/(-70)*(-10)\/28.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27124864*0.2.\nAnswer: -5424972.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 1418, 13, -3 in decreasing order.\nAnswer: 1418, 13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4570394?\nAnswer: 2, 337, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -8*k + 138. Let l be p(-2). Calculate the greatest common factor of 1155 and l.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.3*-8.9.\nAnswer: 11.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*m - 5*t, 2 = -2*m - 147*t + 143*t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 309.5281412 + 1265.\nAnswer: 1574.5281412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -585581*h**3 - 89*h**2 + 4530?\nAnswer: -3513486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 63690 divided by 10615.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**2 - 2*l. Let t(u) = -8*u**2 + 13*u + 6. Let m(o) = t(o) + 4*x(o). Let z(q) = q**2 - 2*q - 2. Calculate -2*m(h) - 7*z(h).\nAnswer: h**2 + 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 2*c**2 + 12 + 31*c**3 - 10*c - 30*c**3 - 10*c**2. Let a be m(9). Suppose a*l - 536 = 127. List the prime factors of l.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0047735 rounded to 4 dps?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 187 = -o, -2*o - l = 2*l - 396. Let u = o - 123. Is 24 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -5\/492016 and -5\/39537?\nAnswer: 4428144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-580)\/(-25))\/((-2)\/(-25)). Find the common denominator of (8\/80)\/((-4)\/u) and (-12)\/(-66) - 108\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the second derivative of -1\/12*f**4 + 3*f + 3\/2*f**2 + 0 + 0*f**3. Give p(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes before 2:07 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -4*u + 3. Suppose 2*z - h = u, 0 = 2*z + h - 18 + 4. What is the least common multiple of 1\/(3\/99*3) and z?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5694991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 58146525 a multiple of 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 131 - 122. Solve -11 - i = g - 3*c, 2*g + 2*c = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 6) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3335028909 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 131\/133476834 and 49\/20?\nAnswer: 1334768340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (216\/504)\/((-4)\/(-21))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence knk when three letters picked without replacement from kkkknn?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13 or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -119, -194, -265, -332, -395?\n\"Answer: 2*j**2 - 81*j - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 3*u - 14 = -2*u, -4*u + 12 = 2*r. Let k(x) = 21*x**2 + 3*x + 5. Is k(r) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l - 6*l + 28 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 86*q + 563 - 3274 - 986 - 259 for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z + 8. Let x be s(-6). Let o = -15 + 15. Sort o, x, 3.\nAnswer: o, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 178 - 168 - (0 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-147)\/(-1421)*87*4\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -c - -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*o**2 + 31*o**2 - 4*o**3 - o**3 - 60*o**2.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -7 + -a1757?\nAnswer: -a1762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 3*o + 66654 - 69135 - 4*o. Let t(y) = 2*y**2. Give r(t(x)).\nAnswer: -2*x**2 - 2481","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29337?\nAnswer: 3, 7, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the third derivative of g**6\/900 - g**5\/150 + 9*g**3\/2 - 2*g**2 - 25*g. Let r(s) be the first derivative of w(s). Let r(k) = 0. Calculate k.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -4*a + 11, a = 3*s - 0 + 1. Let h = 46 + a. What is the highest common factor of h and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a + 78 = 2*k, 74 = k + 988*a - 993*a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -78, -69, -38, 27, 138, 307?\n\"Answer: 2*o**3 - o**2 - 2*o - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 33250 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -212 (base 7) to base 6\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5354 times 0.3?\nAnswer: -1606.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4 - -1) + -2*1\/2. Suppose -209 = -y - 2*y + f*l, 3*l = -5*y + 329. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the first derivative of -7*x**2\/2 + 16. Let b(m) = -m**2 - m**2 + m**2. Determine j(b(k)).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -24\/13, -1\/3, -2 in decreasing order.\nAnswer: 0.4, -1\/3, -24\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -3*x - 101. Let d(l) = l. Calculate 3*d(j) - m(j).\nAnswer: 6*j + 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -647687 + -6.45.\nAnswer: -647693.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the first derivative of m**5\/50 - m**4\/60 - 2*m**3\/15 + 3*m**2\/10 + 9*m + 12. Let n(h) be the first derivative of t(h). Factor n(i).\nAnswer: (i - 1)**2*(2*i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -633478, -633532, -633672, -633940, -634378?\n\"Answer: -7*p**3 - p**2 - 2*p - 633468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -6*g**3 - 3*g**2 + 10*g + 3. Let k(a) = 4*a**3 + 2*a**2 - 7*a - 2. Let b(u) = 7*k(u) + 5*w(u). Let n be b(-1). Solve -t = n + 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c - 3. Let r be h(7). Let b(j) = 2*j**3 - 4*j**2 + 5*j + 2. Let n be b(r). Suppose 0*y + n = 2*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -39496, -78992, -118488, -157984, -197480, -236976?\nAnswer: -276472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -20894, -41788, -62678, -83564, -104446?\n\"Answer: 2*y**2 - 20900*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 798 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 22*m**2*w**3 + 2450*m**2*w**2 + m**2 + 2*m*w**4 - 4*m*w**3 + 7*w**3 wrt w?\nAnswer: 132*m**2 + 48*m*w - 24*m + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -4*f. Let m be 3 - ((-21)\/(-4) + 3\/(-12)). Let r be m + 1 + 15 + -13. Let o be (-1)\/(r\/3) - 30\/(-15). Give w(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -1083*g**2 + 24*g + 4. Let t(q) = -6*q**2. What is y(t(j))?\nAnswer: -38988*j**4 - 144*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 147*o + 119*o - 23376 = -221*o for o.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes after 6:56 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 82881 = 42*o + 83889 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 72 and 12574800?\nAnswer: 12574800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 0 = 387\/8392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 265253\/38196 + -1\/12732. Find the common denominator of f and 113\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 2900614, 2900615, 2900616?\n\"Answer: w + 2900613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -594*y + 631*y = 111 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 + 5*i + 5. Let f(y) = -53*y**2 + 154*y**2 + 1 - 60*y**2 - 42*y**2. Give b(m) - 6*f(m).\nAnswer: 5*m**2 + 5*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 612*w - 301 - 117*w + 309 + (4*w - 4*w + w)*(3 + 2 - 6) - w + 0 + 0 to p + z*w and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1630 bigger than 73396\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 - -3.1. Let k be ((-5)\/(-10))\/(-3 + 2). Suppose 0 = c + 4*c. What is the third smallest value in g, k, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14942705 is divided by 962.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 - 12 + 3)*(2*f - f**2 - 2*f).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + 2 - (-48 + 37 + (-9 - 13)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2174 - 43174. Round o to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 122565205583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15.5 - 12.5. Which is the closest to 2\/41?  (a) 4\/7  (b) 1\/4  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12 - 2. Calculate the greatest common factor of n and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 4 from 199.6964.\nAnswer: 195.6964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -42 - -63. Let k = m + -19. Factor 4\/7*x - 2\/7*x**k - 2\/7.\nAnswer: -2*(x - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p and 2 s when four letters picked without replacement from pppppvpssppppps?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2800 - -30773\/11. Calculate the common denominator of b and -73\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 1164043720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + 5*c + 140 = -3*c, 32*p + 4*c = 20*p - 0*c - 320 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*y - 3*y - 2*y)*(-7 - 6 - 6 + 2 + 3) + y - 6*y + 4*y + (-3*y + y + 4*y)*(2 - 3 - 1) + 134*y - 49*y + 102*y.\nAnswer: 168*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -2*y**2 - 435*y + 10025. What is h(21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 14, 83, 210, 407, 686, 1059, 1538, 2135?\n\"Answer: 2*t**3 + 17*t**2 + 4*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1155, -1135, -1115, -1095, -1075?\n\"Answer: 20*g - 1175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 36 = 3*m. Let v = 76 - m. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -994*s + 321379 - 321379 in the form z + j*s and give j.\nAnswer: -994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -4*j - 47. Calculate the remainder when 372 is divided by g(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -32*f**2 + 19*f + 4. Let k be j(-8). Let a be 192\/(-2) - (-9)\/(-3). Let l be 2\/(-11) + k\/a. Solve -z = 4*c - 17, -z - 5*c = -0*c - l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 164947 and 18784?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 84863369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -69 divided by 37?\nAnswer: -69\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 (base 16) in base 4?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 4020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + -1 + (2 - -20 - (465 + -449))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - 1. Suppose 2*b - 5 = b. Solve -2*j + 5 + b = m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + -8. Let h = s + 25. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(-1\/3))**(-2)*h**3\/h**0*((h\/h**(2\/17))\/(h\/(h*h*h**3*h)))\/(h**(-1)*h**3*h) assuming h is positive.\nAnswer: h**(232\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m + 8. Let q be k(4). Suppose 0 = -2*r, 3*l + 3*r = r + 171. Suppose -l = 7*h - 92. What is the fourth biggest value in h, -1\/7, -2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*1*sqrt(121) - (sqrt(121)*1 - sqrt(121))*-1)*1)\/(1*sqrt(2156)*-2 + sqrt(2156)).\nAnswer: sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 7 = -0*b. Find the second derivative of 15*q**2 - 8*q**2 + 14*q - 5*q + b*q**2 wrt q.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-3)*j\/(j**5*j)*j**5\/(j*(j*((j**(1\/7)\/j)\/j)\/j*j)\/j))**(-4\/11) assuming j is positive.\nAnswer: j**(60\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1972924231 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = 2*q - 16, -4*q - 3*c + 11 = -1. Solve q = 2*i - 6*i - 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 + -31212?\nAnswer: -31213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 556218\/23770*30\/26\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**3 + y**2 + 1. Let d be s(2). Suppose 2*p = -2*z + 8, 5*p + 2*z - d = 1. Differentiate 1 - 2*l**3 + 2*l**3 + p*l**4 with respect to l.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -46*l + 898 - 898 to c*l + v and give c.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -0.3, 1\/3, 3, -33, 1\/5, 360?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*l - 12, 4*i - 2*l = 329 - 305 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/162 and -59\/74268?\nAnswer: 668412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-2)\/20)\/(32\/40))\/((-62)\/62).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -864, -1736, -2610, -3486, -4364?\n\"Answer: -k**2 - 869*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*p**3 + 39*p**2 - 39*p**2)*(26 - 26 - 7*p)*(0*p + 2*p - 4*p).\nAnswer: 196*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of -g**3\/6 + 2*g**2 - 2*g. Suppose -12*i - 189 = -129. Is 9 a factor of p(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 45793, 45891, 46053, 46279, 46569, 46923, 47341?\nAnswer: 47823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 122378 or -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 - 0. Suppose -4 = k*v + 2. Let g = v + 5. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 916343223 to the nearest integer?\nAnswer: 30271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*u - 16*u - 3 = 0. Suppose -2*h - u*d - 23 = -116, -135 = -3*h - 3*d. What is the remainder when 119 is divided by h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -29 + 13 + 15 + -20 + 0 + 10 - 9?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56*f**2 - 17*f**2 - 20*f**2 - 2*f**3 - 19*f**2.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4078513\/23630 - -5\/4726. Let j = v - 173. What is the fourth smallest value in 0.3, j, -1, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 921 and 30870078?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-4) - -224*(-39)\/37440?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 11) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 12 = -2*n. Suppose 0 = n*k + 23 + 46. Let l = k - -26. Solve l*s = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1604880886.18 - 130\nAnswer: -1604881016.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14989790.\nAnswer: 2, 5, 23, 65173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z + 2*z - 3*q - 204, 114 = 3*z + q. Suppose -4*g + g = -z. Is (-11 - -1)*g\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-25)\/(4875\/(-65)))\/(((-4)\/(-260))\/((-12)\/(-140)))?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 935641 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0050214684 rounded to 5 decimal places?\nAnswer: 0.00502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14880900, 14880876, 14880852?\nAnswer: 14880828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of -t**3 + 0 + 1\/6*t**4 + 2*t**2 + t. Determine r, given that w(r) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 11*d + 17. Let w be (11 + -4 - 4) + d. Solve 0 = -w*t + 3*t + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 133 and 38?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24\/(-70) - (-3 + (-366)\/(-126))\/((-10)\/(-15)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.021156084 rounded to three dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 201*l**2 - 685*l**2 - 310*l**2 as a*l**2 + d*l + k and give a.\nAnswer: -794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b\/(b\/(b*b\/(b\/(b\/b**(1\/38))*b)))*b\/((b**(-47\/4)\/b)\/b*b)*b**(1\/14)\/(b**(35\/6)*b) assuming b is positive.\nAnswer: b**(12707\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.4  (b) 20380  (c) 5  (d) 1\/5  (e) 2\/9  (f) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 751*c - 69571. Determine z(91).\nAnswer: -1230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 47.9 + -8.9. Let p = b - 38.9999981. What is p rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45152 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**2 - 3*i - 9. Is u(8) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -515, 936, 2427, 3958, 5529, 7140, 8791?\nAnswer: 10482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 84064\/3603 - -2\/1201. Let g(l) be the second derivative of 11\/3*l**4 + 0 + 1\/5*l**5 + 50*l**2 + s*l**3 - 23*l. Find v, given that g(v) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v - 6. Calculate n(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**3 - y**2 - y + 1. Let r(h) = 10*h**3 - 8*h**2 - 8*h + 10. Let j = 15 - 23. Calculate j*x(s) + r(s).\nAnswer: 2*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3792 and 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/5 + 26986\/90. Let i = 299 - a. Is -1 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-8))\/((-3965)\/22204)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 230 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2\/5 + 699216*m + 13984288\/5.\nAnswer: 2*(m + 4)*(m + 1748036)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -16309\/685140 - 141\/2404. Calculate the common denominator of x and 82\/399.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -79*f + 1112. Determine i(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1341*i**5 - 87471*i**3 + 58455621*i**2.\nAnswer: -80460*i**2 - 524826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 110 and 73?\nAnswer: 8030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -396101 - 1095.\nAnswer: -397196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 275820 divided by 15\nAnswer: 18388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9 by -19.\nAnswer: -9\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 4*k + 2*k**2 - 7*k + 1 + k. Let x be y(1). Is 2 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eighty-three thirds of a year?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 - -100000?\nAnswer: 100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1779965 (base 14) in base 2?\nAnswer: 101100001101100010000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 4*s - 9*s + 76 - 63. Let g(r) = -3*r + 7. What is -7*g(j) + 4*w(j)?\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000663 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - n + h - 8 = 0, n - h = -2. Solve 4*i - 9*i = -3*s + 25, 0 = 2*s + n*i - 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -6*p**3 - 13*p**2 - 13*p. Let z(c) = 2*c**3 + 4*c**2 + 4*c. Suppose 10*r = 8*r - 2. Let u be (-8)\/(-12)*(r - (0 + -4)). Determine u*q(a) + 7*z(a).\nAnswer: 2*a**3 + 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (-1 - (1 + -3 - -6))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2380393 is divided by 3827?\nAnswer: 3826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and -7849.\nAnswer: -7849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -106.78 - -111. Is -2 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -244, -3\/5, -5, 3 in ascending order.\nAnswer: -244, -5, -3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1325 is divided by 147?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**4\/8 + 25*t**3\/4 - 103*t**2\/8 + 13*t\/2.\nAnswer: t*(t - 1)**2*(t + 52)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-301)\/14 - (-8526)\/(-812).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 310221 (base 4) to base 9\nAnswer: 4553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g - 4. Suppose -8 = -6*y + 2*y. Suppose -y*c - 8 + 26 = 0. Suppose -c = -3*a, 19 = -4*t + 3*a - 2*a. Calculate i(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 7*v = 123280. Let j be -1 - -3 - v\/(-12). Let h = j + 2070. Find the common denominator of -99\/2 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -184.414 + 0.414. Let o = 183.7 + s. What is the smallest value in o, -6, 0, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1927224442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 8674230829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 25614, 25616, 25618, 25620, 25622?\n\"Answer: 2*i + 25612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 632 and 487114.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 204313452 (base 6) in base 9?\nAnswer: 6642815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -146 - 174 + 99*v - 113*v + 5*v**4 - 33 with respect to v.\nAnswer: 20*v**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 67572 in 56, 1\/7, -4, -0.5?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -3*v. Let j(c) be the third derivative of 3*c**4\/8 - c**2. Calculate j(r(u)).\nAnswer: -27*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -111 - 20020122?\nAnswer: -20021010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31276 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -31 + 51. Suppose 4*w + 3*i - 89 = -2*i, -i - h = -w. Let c = 9 - w. Is c < -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-280)\/15 + 9 - 168\/72. Let j(r) be the second derivative of r**3\/6 + r**2\/2 - 2*r. Let o(m) = 3*m + 4. What is n*j(v) + 3*o(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - -16) + -5 - -5 - (100 + -94)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 - (12 + 5)) + 10 - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 40627.9939 + -40799.35. Let h = 0.2561 + t. Round h to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -2*w. Let o be z(-1). Determine f, given that 121*f**o - 5*f + 6 + 2*f - 124*f**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -3*l**4\/4 - 3*l**3\/4 + 9*l**2\/4 + 15*l\/4 + 3\/2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q - f + 5, 2*q + 2*f + 2*f = 20. Suppose -t + 2 = -q*t. Let u be (t + (-3 - 4))*(-2)\/10. Which is the closest to u?  (a) 1  (b) -44  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -38506 and -39361 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(132) - sqrt(132)*-5 - sqrt(132))*6)\/(3*(sqrt(12) - 2*sqrt(12))*1).\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 1056848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 + 1327?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -6074057 divided by -552187\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 3, p: 1, c: 6, b: 4}. What is prob of picking 1 p and 3 b?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-3)*-6 - 0. Find the second derivative of 23*i**2 - i**5 - 4*i**2 - 6 + z + 37*i - 49*i wrt i.\nAnswer: -20*i**3 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3921?\nAnswer: 3, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*u = 13*u + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -18*c**2 + 0*c**2 + 5*c**2 + (7 - 4 - 2)*(3*c - 3*c + c**2) + 3*c + 2*c**2 - 3*c + (-1 + 2*c + 1)*(-c + 2 - 2)*(4 - 6 + 7).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 443 divide 382257169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 19\/7 + (-12)\/(-42). Suppose -f - w*f + 72 = 0. What is the remainder when f is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1696963*g**2 - 847771*g**2 - 849190*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (32 - 9 + 29 + (1 - 2 + 0)*(6 + 1 - 4))*(4*x**4 - 4*x**4 + 3*x**4).\nAnswer: 147*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, -56, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.68 - 2.32. Let s = -6 - -6.3. Which is the nearest to 1?  (a) 2\/13  (b) s  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s*s**10*s))\/s)\/s*s*(s\/(s**(-2\/29)\/s*s))\/s assuming s is positive.\nAnswer: s**(-346\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 11) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6943977 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/(-32)*126\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 300*x**4 - 195*x**3 - 249*x**3 + 104*x**3 - 16*x + 15*x**2 + 113*x**2.\nAnswer: 4*x*(3*x - 1)*(5*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 9 + ((-22)\/6 - 7\/21). Solve -i*h - 1 = -26 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jqkuqqiquujq. What is prob of sequence qkui?\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*k**3 + 6*k - k + 5*k + 5*k**3 - 10*k.\nAnswer: 13*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 237\/104 - 17\/8. Let k = 1.95 + 0.05. Which is the second smallest value?  (a) k  (b) -0.4  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 2*o + 1318 = 0, -76*s + 72*s = -4*o - 2652. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 104754710?\nAnswer: 2, 5, 10475471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 201 a factor of 291077748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 6660833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 276 - -1?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 613141190.\nAnswer: 2, 5, 61314119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7095 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 194 - 406 = 29*b - 154 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 108.654559415 and -60.\nAnswer: 48.654559415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(104)*-4 + (sqrt(104) - -6*sqrt(104)*1))\/(-2*(sqrt(1152) - sqrt(1152)*-4)).\nAnswer: -11*sqrt(13)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -706*y = -71*y - 15983 + 39478 for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 43 and 68843?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 4*p**3 - 8*p**2 + 7*p. What is the remainder when 25 is divided by n(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j**2 + 252294498*j - 5304376143422667 = 0.\nAnswer: 42049083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -713094\/49 + 14553. What is the third biggest value in -3, -0.1, h, 2\/9, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 75656 and 40642.\nAnswer: 219629368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 112.3 - -2771585319?\nAnswer: 2771585431.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-12)\/(-9))\/(2\/1101)?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/6*(-5 - -5). Suppose s = -5*m - 19 + 109. Calculate the smallest common multiple of 16 and m.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 55\/12182298 and -121\/36546894?\nAnswer: 36546894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/7  (b) -40  (c) 26\/5  (d) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 793115819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 402 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -3*u + 19. Let l be r(0). What is the greatest common divisor of 38 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11404211 (base 5) to base 8.\nAnswer: 320466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21 + 21)*(0 - (-3)\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1534439 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 - -1) + 4 + -11. Let s(b) be the first derivative of b**2\/2 + 6*b + 366. What is s(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1173134 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 5648204129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -3*l - 1. Let v be x(-1). Suppose 2*u + 0*u - 16 = -4*n, -3*n = -v*u - 19. Suppose -s + 5*p + 384 = 0, -n*s = -2*s - 3*p - 1212. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes after 9:25 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 829, 2\/7, 0.3?\nAnswer: 829","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 62*b**3 - 2*b**2 - b. Give x(-1).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u - 2. Let h be m(0). Let z = 1\/54 + -14\/27. Which is smaller: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 4*o**3 - 3*o**2 - 3*o. Let k(n) = -n**3 + 8*n + n - 8*n + n**2. Calculate -15*k(i) - 5*p(i).\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.2441 and -0.165.\nAnswer: 0.3702765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11209840.\nAnswer: 2, 5, 140123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 14) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, -4678, 26, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (10\/5)\/((-4)\/(-6)). Suppose -i*q + 10 = -38. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 - 9*o**2 - 7*o + 62. What is c(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p. Let k = 20 + -14. Let u(h) = 68*h + 72. Let z(d) = k*j(d) + u(d). Differentiate z(l) with respect to l.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 3305 = -2*u, 11*u = -3*d + 13*u + 1999. What is the highest common divisor of d and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hfi when three letters picked without replacement from {h: 2, a: 2, i: 1, q: 1, f: 2, w: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -26 divided by 26\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4592 and 1214912.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111011112202121 (base 3) to base 14.\nAnswer: -d02535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 24\/35, 2\/11, 5, -4, -2?\nAnswer: 24\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-259)\/(-1008)*8 + 5\/(-90). Put -5, 607, -4, 3, r in ascending order.\nAnswer: -5, -4, r, 3, 607","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(612) + -5*(sqrt(612) + (sqrt(612) - (sqrt(612) + -2) - sqrt(612)) - sqrt(612))**2)*-1 - 2*sqrt(187)\/(-6*(sqrt(11)*-1 - sqrt(11)) + sqrt(11)).\nAnswer: -1640*sqrt(17)\/13 + 3080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -302732 or -302728?\nAnswer: -302732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + u)*(u**3 + 3*u**3 - 5*u**3) - 6*u**4 - 39612*u - 90 + 39612*u.\nAnswer: -7*u**4 - 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -215\/3 + 71. Let t = 0.2 - -0.3. Let a be ((-1)\/26)\/((-2)\/8). What is the third smallest value in u, t, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z + 0*z**3 - z**3 - 10*z**2 + 3 + 2*z**3 + 5. Let n be r(10). Calculate the common denominator of -2 + n\/(-12) - -3 and 63\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 128.4408 grams in kilograms?\nAnswer: 0.1284408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 43 = 2*t + 37, 10 = 5*j - 2*t. Suppose -j*w + 4 = -2*k, -16 + 24 = 2*w + 2*k. Let f = 0.3 - 1.3. Which is the nearest to w?  (a) 1\/3  (b) f  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61*t + 348*t = 5453. Solve 12*l - 17*l + t = -3*o, -4*l + 14 = -3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -4*f**2. Let b(c) = 5*c + 2*c - c - 4*c. Give k(b(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 24084*b. Let p(k) = k**2. What is p(g(s))?\nAnswer: 580039056*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 6*z**2 + 5*z + 13. Let i(m) = -7*m**2 - 4*m - 12. Suppose 9*x = 19 + 26. Let f(d) = x*i(d) + 6*t(d). Calculate f(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/67?  (a) -5  (b) -0.5  (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2821867 is divided by 10980?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2146907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 35  (b) -1  (c) -7572  (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + -93*(-3)\/63?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 156 - 90 - 16*q - 66.\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**3 - 7*v**2 - 9*v - 5. Let m be a(-6). Suppose -3*b - 2*i = -34, b + i + m = 2*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 2 = -4*f, 0*f - 7 = -3*w + f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 - -111?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/188 and (9\/(-108))\/((-3)\/(-267)).\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 145\/3792 and -93\/80.\nAnswer: 18960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 + 78 = 4*z. Let v = z - -4. Let q = -39 + 53. What is the remainder when v is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**2 + 6*l. Let j be z(-6). Let v(u) be the second derivative of -u**4\/12 + 17*u**3\/6 - 8*u**2 + 4*u. Let b be v(16). Are j and b unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -17575*m**2 + 1195*m - 4?\nAnswer: -35150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 2*b - 1. Let j(w) = -3*w + 2. Let d(q) = -j(q) - 2*l(q). Let r(y) = 3*y**2. What is d(r(k))?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 79176 and 45.\nAnswer: 1187640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 33 - 19. Let b = 17.9 - p. What is b rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 21\/15*(-8)\/(-14). Let v be 7\/(-35)*(-8 - -9). Which is the biggest value?  (a) 0.3  (b) k  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a - 4*g - 16635 - 10577, -2*g = -3*a + 40826. Suppose a = 5*p + 5*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 23.\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a - 4. Let i = -509 + 506. Let q(l) = 0*l + 4 - 2*l + 6 - 3. Calculate i*q(t) - 5*h(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 14 + 2 + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, c: 8, y: 2}. What is prob of sequence ya?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 28732.00076532 - 28732. What is q rounded to 5 decimal places?\nAnswer: 0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(10\/(-4) - -2). Suppose -q*x + 12 = x. Solve -o - x = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that j**5\/6 - 5*j**4\/3 + 25*j**3\/6 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*r - 6. Suppose -1\/5 + 2\/5*i**3 - 1\/5*i**5 + 2\/5*i**2 - 1\/5*i**r - 1\/5*i = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 818.84 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 105520741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 20240 by -176.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17, 506, 1823, 4382, 8597, 14882, 23651?\nAnswer: 35318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 1 t when three letters picked without replacement from qljqgqgtq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 3*a + 1. Let k = -7 + 13. What are the prime factors of g(k)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 50944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*b**5 + 641*b**3 + 19*b**2 - 22?\nAnswer: -120*b**2 + 3846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3143871466 and 2.\nAnswer: -3143871464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-52 - 176297\/(-3388)) + 270\/(-1288)?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 161 + -156. Let l(b) = -8 - b + 0*b + 2*b + 0*b. What is l(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.066 in 15, 692, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0.3, 2, 6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 + 3*l**2 - l - 2. Let o be k(2). Let x(w) = 40*w + 164. Let z be x(-4). Sort 3, z, o, 0.4 in decreasing order.\nAnswer: o, z, 3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20 (base 14) to base 2.\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*b = -2*b + 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*v - 21 = -140 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in thirty-seven halves of a second?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 66760 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the third derivative of -l**4\/24 + 3*l**2. Let d(b) be the second derivative of -b - 1\/4*b**4 + 0*b**2 + 0*b**3 + 0. What is r(d(i))?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1154 = 36*f - 650 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 250 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -341*t**4 + 3867*t**3 - 1058821*t**2 wrt t.\nAnswer: -8184*t + 23202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -56542740 rounded to the nearest one million?\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**2 - c + 1. Let j be q(0). Let x = -250.393 + 248.393. What is the nearest to j in 10\/13, x, 5, -4?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(0 - 1)*0. Let c = 474 - 479. Sort t, -2, c in ascending order.\nAnswer: c, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1433*u = 3*m - 1431*u + 13, 23 = -4*m + 3*u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 51\/763 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1  (b) 1\/6  (c) -2\/7  (d) -25  (e) -41  (f) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z - 24 = -18*z. Suppose z*j - 2*i = -6*i + 132, 5*j - 370 = -2*i. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6800 and 2959360.\nAnswer: 14796800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 2*t - 2, m + 3*t = -4*m + 29. Let u be (-72)\/(-8) - m\/1. Solve b + 16 = -2*g + u, 3*b + 8 = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 154 (base 12) to base 9.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/2274 or 5\/14?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 7298963?\nAnswer: 1\/7298963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 176.181318us?\nAnswer: 0.000000002039135625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 70 - 1692*j**2 + 1698*j**2 + 0*j - j to the form x*j + f + g*j**2 and give f.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the second derivative of 16*p**3\/3 - 4*p. Let b(m) be the first derivative of -m**3\/3 - 173. What is q(b(y))?\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -2*v**2. Let c(j) be the third derivative of -j**4\/6 + 35*j**2. Give u(c(k)).\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22525 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 22204795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 1 + 2 = 0. Let z be 3\/(-12) - v\/4. Let l be (-3)\/(-2 - 9\/3). Do z and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-4760)\/(-910))\/2)\/(6\/39).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the third derivative of 0*z**3 + 1\/24*z**4 + z**2 + 0*z**6 + 0*z**5 + 0*z - 1\/210*z**7 + 0. Find the second derivative of x(d) wrt d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (8\/(-12) - (-12)\/(-18))*-3. Solve -14 = -2*d + 4*y, -b*y - 8 = -4*d - 0*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 396916.\nAnswer: 2, 13, 17, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:57 AM and 1:47 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 65 + -65. Suppose z = -5*d + 4*n + 4373, -d + 3*n + 0*n = -868. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -35504, -71057, -106610, -142163, -177716, -213269?\nAnswer: -248822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1252602, 1252561, 1252498, 1252413, 1252306, 1252177, 1252026?\n\"Answer: -11*u**2 - 8*u + 1252621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 568492?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1118 = -5*b - 73. Let o(p) = 2*p**2 - 49*p - 10716. Calculate the remainder when b is divided by o(-62).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (49*v**2 - 90*v + 90*v)*(12 - 18 + 7)*(0 + 2*v + 0).\nAnswer: 98*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5803395804 to the nearest integer?\nAnswer: 1797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 - -1875413079536.\nAnswer: 1875413079536.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9364, -9368, -9372, -9376, -9380?\nAnswer: -9384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6519 is divided by 825?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 + 0 + (-6 - -4). Is (-22)\/(2 + o) - 3 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the first derivative of 19*m**6\/6 - 8*m**3\/3 + 19. What is the third derivative of f(l) wrt l?\nAnswer: 1140*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -x + 3*l + 3, -37 = -x + 5*l. Suppose -4*v + 0*v = -x. Suppose j = 2*t + 4, 3*j - v*t = 2*j - 1. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z - u = 27, z + 4*u = 521 - 539 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -36?  (a) -1\/5066  (b) -0.041  (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -836 greater than 1206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.3, -4, -0.2, 218?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange l**4 + l**3 - 10*l**3 + 4*l**2 + 7*l**3 + 2*l**3 - 10*l - 2 to the form k*l + d*l**2 + q*l**3 + h + i*l**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -65946 from -194305896.\nAnswer: -194239950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*-4*(-1 + sqrt(396))*4.\nAnswer: -480*sqrt(11) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*v**2 + 17*v**2 + 3*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i - 2 = 0, 0*i + 13 + 5 = -3*g + 3*i - 3 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, p: 1, t: 8, n: 1, u: 4}. What is prob of sequence ulnu?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-214)\/30 - 0) + 6\/45. Let f(a) = -11*a - 74. Let n be f(m). Let i(u) = u**2 - 2*u + 4. Let w be i(3). Solve -w*b + n*b - 4 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the first derivative of v**2\/2 + 198*v - 34. Let w be a(-34). Is w <= 164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 + -5. Let t = h + -4. Let d(z) = z + 1. Let f be d(t). Solve -3*o - 4*y = -f, 3*y - 2*y - 7 = -3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 25596 + 35957 = -q, -2*n + 4*q + 123096 = 0. Let j be n\/21*18042\/4. Suppose -j = 2*d - 38421779. Round d to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (24\/288)\/((-13)\/104). What is the closest to g in -2, 2, 0.2, -116?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**3 + 5*h**2 + 34. Calculate p(7).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 5*a + 1186 = 5*p, 2*p = -4*a + 1168. Calculate the highest common factor of 49 and p.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - p**3 - 4 + 0*p**3 + 0*p**4 - p**4 - 5936*p + 5939*p in the form s*p + n*p**4 + t*p**3 + x*p**2 + u and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/84106 and 109\/6?\nAnswer: 252318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 102 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -15*s**3 + 2*s**2 - 1. Let v be z(1). Let n = -8 - v. Calculate the least common multiple of n and 2\/(2*(-2)\/(-2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 89663194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 2*t - 4*g - 0, 0 = 5*t - 8*g - 68. Solve j = -5*q + 9*q - 3, -3*q - 14 = -t*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/1070712 and 65\/39656.\nAnswer: 1070712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 289815 by -19321.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -73 divided by 24?\nAnswer: -73\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (66\/60)\/11*15\/4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -2\/9, -0.5, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-7))\/(804\/(-938))*-7*1?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.4  (b) 3  (c) 2\/91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 4*l + 5*l = 8, 3*p = l + 8. Suppose 4 = g - 4*u, 0 = 4*g + 3*u + p*u - 16. Suppose 0 = 4*k + g, -2*n + 0*n + 319 = -5*k. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 15 = f, k + 16 = -5*f - 3. Suppose -3*q = -4*q + 32. Put f, -5, q in descending order.\nAnswer: q, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 44\/7 and -13\/949230?\nAnswer: 6644610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/((q\/((q**(-8)*q)\/q*q))\/q*q)*q*q**4\/q*q*q)\/((q*q*q**(1\/20)*q*q*q*q)\/(q\/(q\/((q*q\/(q\/q**1))\/q*q)))))**(-16\/3))**(2\/9) assuming q is positive.\nAnswer: q**(808\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 164120421 to the nearest integer?\nAnswer: 12811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.1 + 0.1. Let i = -45 - -177\/4. Sort q, i, -6.\nAnswer: -6, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/26 and -4 + 2\/(30\/(-87)).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 298 is divided by 124.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppkkkkwz. Give prob of picking 1 z and 1 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1943.\nAnswer: 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -488\/5 - -97. Suppose -23*p - 279 - 447 = -89*p. Let y = 0.81 - -2.19. Which is the closest to p?  (a) o  (b) -1  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**2 + 8*h + 2. Let b be i(-8). Suppose 2*w + w - 189 = 3*k, -3*k = -b*w + 128. What is the remainder when w is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3193579591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let t = 95 + -107. Let q be ((-15)\/t)\/((-1)\/(-8)). Let b(l) = l**3 - 10*l**2 - l + 10. Give b(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 148006261 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53 = -11*s - 20. Solve -b = 3*a - 4 + 9, 0 = s*a - 3*b - 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6376345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 8) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.11655 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are -4\/1741309 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 14) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 0*y = 4*t - 1570, 0 = t - 5*y - 401. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -167*g = 169*g + 1008 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*f**2 - 7*f**2 - 4*f**2 + (-3*f - f**2 + 3*f)*(4 - 3 + 0) - 3 + 3002*f + 118*f**2 - 3002*f to the form t*f**2 + m + q*f and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1322641.\nAnswer: 1322641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**3*d*d**(-3)\/d*d*d*(d*d*d**(-5\/3)*d)\/d*((d*d**(-3\/5))\/d)\/d)**(18\/13) assuming d is positive.\nAnswer: d**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 divided by -5.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5826 + 8?\nAnswer: 5832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 524.5588 hours?\nAnswer: 1888411680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 13) to base 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9 and 485?\nAnswer: 4365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 6*z - 5*z + 8*z. Let x be g(1). Let o be 34\/6 + (-6)\/x. What is the greatest common divisor of o and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 102.1284 + 138.5995\nAnswer: 240.7279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 116106 and 444?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -127886 + 97*p + 63999 + 63959 in the form i*p + j and give i.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (140 - 221 - (-2 + 13)) + 21 + -3\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.2 - -0.3. Let i be (28\/90 + (-17)\/153)\/((-9)\/15). Which is the closest to t?  (a) 0.4  (b) -1  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1755 and 234.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -20354, -81016, -182122, -323672, -505666, -728104?\n\"Answer: -20222*w**2 + 4*w - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 120432412 to the power of 1\/2, to the nearest integer?\nAnswer: 10974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 206999  (b) 0.1  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 + 83*p**4 - 84*p**4 + 5*p**3 - p + 9*p**2 - 5 - 3*p**3 in the form u*p + i*p**2 + n*p**4 + l*p**3 + y and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3795.32 millilitres in litres?\nAnswer: 3.79532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 plus -31685?\nAnswer: -31680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 203201000331 + -3?\nAnswer: 203201000322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -29 + 17. Let p(j) = -j**3 - 11*j**2 + 11*j - 1. Let s be p(d). Let y be 45*(4 - s\/3). Solve 9 = -3*n - 2*c, 5*n - c = 4*c - y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 126*c - 510. What is the least common multiple of u(6) and 738?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 483259273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 3*m = 4 + 8, 4*m + 29 = 3*c. Suppose -c*s - 20 = -3*p + 2*p, 3*s - 2 = -p. Let u(r) = -r**2 + 11*r - 1. Give u(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/2 in 0.1, 2, -3\/2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -88, -27, 34?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**3 - 42*i**2 + 87*i - 36. Let f be z(-44). Which is smaller: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 168464 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -4*x - 4*l + 3, 6 = 2*x + l. Suppose 5*v = x*v + 16. What is the lowest common multiple of 2*(8 + -1 - 1) and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of -5*g**3\/2 - g. Let f(x) = -x**2. Give p(f(o)).\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 4\/13 + (6330516\/149786 - (-3)\/7)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1578 - 1576. What is the least common multiple of 714 and c?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13566, 56024, 126790, 225864, 353246, 508936?\nAnswer: 692934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and 26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**0\/t*t*(t\/((t*t*t**(2\/29))\/t))\/t)\/(t**(-1\/4)*t*t**7) assuming t is positive.\nAnswer: t**(-1023\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 245 - 28*l**2 - 685*l - 2794 + 683*l.\nAnswer: -28*l**2 - 2*l - 2549","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0052667033 to four decimal places.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -17*k**3*w + 90658*k**2*w + 3048*k*w - 51*k - 2*w + 2 wrt k.\nAnswer: -102*k*w + 181316*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 + 7.7. Let y = -0.2 + a. Put 0.4, y, 0.3 in ascending order.\nAnswer: y, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is e + -3f17?\nAnswer: -3f09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 l, and 2 r when four letters picked without replacement from {l: 9, r: 2, j: 2, p: 1}?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 + -12. What is the least common multiple of ((-2)\/(-2))\/k - -7 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**3 - 6*w**2 + 5*w - 2. Let t(k) = k**2 - k. Let g = 41 + -35. Determine g*t(h) + j(h).\nAnswer: -h**3 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1175*s - 227876 = -6354*s for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:21 PM and 3:38 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-59*s + 161*s + 115*s - 2 + 2 - 2*s - 2 - 2*s + 2 + (-1 - s + 1)*(-4 + 2 + 4))*(0*s + 2*s + 0*s).\nAnswer: 422*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 51708612 to the power of 1\/3, to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11100 - -111111010?\nAnswer: 1000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + j + 4 = 0. Let b be j\/(-6) + (-2630)\/(-15). Calculate the greatest common divisor of b and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19, 60, 111, 160, 195?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 648 + -635.76. Let h = 10.2 - s. Let m = 2 + h. What is m rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -197*x**3 + 25083*x + 7125753.\nAnswer: -591*x**2 + 25083","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (30\/(-18))\/((-1)\/1956). Suppose -15*p + 11 = -49. What is the first derivative of -5 + o*h**4 - 10 - 3251*h**p wrt h?\nAnswer: 36*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1169302 - 2?\nAnswer: -1169304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/102*4 - (-350)\/(-85)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -110 + 131 + 303 = -54*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 123 = -21*s - 66 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*i - 40 = -4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4913960065 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 58.91 + 0.0201322.\nAnswer: 58.9301322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, -0.2, -0.018915?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-19)\/2 - (-2)\/4. Let o = 10 + l. Suppose 2*z + 3*z + 4*c + o = 0, -z - 5*c - 17 = 0. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15.5 - 7. Let w = o - 45.5. Let a = w - -39. What is the closest to a in -3, -4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a**4\/4 - 265*a**3 - 24933*a**2\/4 + 6498*a = 0 for a.\nAnswer: -24, 0, 1, 1083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(1\/3))\/w**12*(w\/(w\/(w*w**6*w)))**(-4\/9) assuming w is positive.\nAnswer: w**(-128\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 30\/(-9)*(1 - 11\/5). Find the second derivative of 15*q**c - 4*q**4 - 27*q + 48*q wrt q.\nAnswer: 132*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -456, -453, -450?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -678 + 463. Let l = -181 - n. Is 36 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*(-2 - 36\/(-8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*z - 11*z + 2*z**3 + 11*z - 5*z in the form w + b*z**3 + a*z + r*z**2 and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**3 + 7*v**2 + 3*v - 5. Let i(q) = -17*q - 40. Let f be i(-2). Let c be p(f). Solve b + 10*m - 7 = 5*m, 3*b - 2*m + c = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19593809?\nAnswer: 17, 971, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 37884 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3643037 to the power of 1\/2, to the nearest integer?\nAnswer: 1909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 252212257.\nAnswer: 11, 22928387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -2*p**3 - 2*p**2 + 3*p + 2. Let u(q) = -q**3 + q**2 - q + 1. Let j(c) = -n(c) + 3*u(c). Calculate j(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 39 - 19 - 10*m - 2*m**2 + 3*m**2 - 29 - 24. Give q(11).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uuuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(448) + sqrt(448)*-5)**2 - -5*1*sqrt(175).\nAnswer: 89*sqrt(7) + 7169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:03 AM and 7:34 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 275*i**2*j*o**2 + 292*i**2*j + i**2*o**2 - 2*i**2*o + 13*i*o**2 - 2*i*o - 247*i wrt j.\nAnswer: 275*i**2*o**2 + 292*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v = -4*r - 16, 5*v + 41 = 2920*r - 2918*r for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 147 - 171. What is the hundreds digit of ((-168)\/(-4))\/((-4)\/i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5556975 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 602\/541 - 785\/2164. Determine i so that q*i**4 + 21\/4*i**2 - 27\/4*i**3 - 6 + 27\/4*i = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/(-6)*456\/(-3724)*21\/5?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -27*a + 3 - 11 - 62*a + 7. What is the units digit of v(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*n + 271 + 392. Let c be (3 + 3 + -5)\/((-1)\/n). Let b = -36 - c. Solve 4*l + 5*o = l + b, 0 = 4*l + 5*o - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3463 - -1304404?\nAnswer: 1311200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 2942 = -l + 9672, -2*l - 5*q = -13461. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 11 and 1134.\nAnswer: 12474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 8 - 408?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*k - 2*q - 12, 1312*k - 1310*k + q = -13 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -3*j**3 - 2*j**2 - 4. Let f(l) = 847*l - 847*l - 44*l**3 + 1 - 42*l**3 + 87*l**3. Let x = 8 - 12. Let r be 6\/9*3\/(-2). Determine r*n(m) + x*f(m).\nAnswer: -m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 215 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the second derivative of -r**9\/1260 + r**7\/420 - r**4 - 11*r. Let h(l) be the third derivative of c(l). What is the third derivative of h(g) wrt g?\nAnswer: -288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-24)\/36*2\/(-8)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -76*g - 26. Let i be q(22). What is the tens digit of i\/(-42) + (30\/(-21) - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3937037713.\nAnswer: 7, 131, 4293389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 4*s + 24 = 0, -v - 7 = -s - 3. Let h(m) = -m**3 + 4*m**2 - 4*m. Let q(d) = -d**2 + d. Suppose -2 + 22 = 5*w. Calculate v*h(o) + w*q(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 327322 is divided by 323286.\nAnswer: 4036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -40 - 10*l + 40 - 22*l as t + j*l and give j.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (11352\/(-16770))\/(33\/(-30)). Find l, given that -8\/13*l + 8\/13*l**4 - c*l**2 + 0 + 2\/13*l**5 + 6\/13*l**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) 33  (b) 4  (c) 0.5  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.09, 0.01, -1, 2 in ascending order.\nAnswer: -1, 0.01, 1.09, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2*r**2)*(-239*r**3 - 8*r**3 - 104*r**3 - 5*r**2).\nAnswer: -702*r**5 - 10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 35140 and 6412?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -135.22 take away -7578?\nAnswer: 7442.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-9)\/(-9) + 17*2. What is the third derivative of -35*z + r*z + 4*z**4 - 5*z**2 wrt z?\nAnswer: 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 738527.9 weeks?\nAnswer: 446661673920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (21\/4)\/(1\/(-12)). Let t(d) = -d**2 + 2*d + 1. Let k be t(4). Calculate the common denominator of 139\/6 and 26*(l\/60)\/k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12833 at least as big as 12876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -599 or -598?\nAnswer: -598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.386 + -0.886. Sort -8\/17, u, -2\/5 in increasing order.\nAnswer: u, -8\/17, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3*(-4 + (7 - 2)))\/(-18 + 2)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 - -263?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1022021202100 + -2?\nAnswer: -1022021202102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9971 + 9958.8. Let m = -19.3 - -6.9. Let f = q - m. Which is the second biggest value?  (a) -4  (b) f  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 534 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-3 + 1*sqrt(7)).\nAnswer: -12 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.15 times -0.04?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 2186 = -448. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes after 7:26 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 19\/4 - 547\/116. Let y = 0.0369 - 1.0369. Let l be (30\/(-36))\/((-5)\/(-4)*-1). Sort j, l, y in descending order.\nAnswer: l, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 256 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -3*t + 26. What is the remainder when b(-12) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the first derivative of -11*n**8\/56 - 3*n**4\/4 - 3*n - 5. Let j(i) be the first derivative of p(i). Find the third derivative of j(q) wrt q.\nAnswer: -1320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17 + 5 + -9 + 14 + (-1 - 1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2018*g + 84725 = -2021*g - 68757 for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes before 1:24 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 + 1228\/604)*50\/(-125)?\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 456473 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 12473 (base 12) to base 4\nAnswer: 12010113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 3 = -0*h. Let f(r) be the first derivative of 3*r - 1\/2*r**2 + 6. What is f(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5.0581 + 0.0581. Sort 2, -7, l, -1 in ascending order.\nAnswer: -7, l, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -60*a - 2. Let t(r) = 5*r**2. Give t(q(v)).\nAnswer: 18000*v**2 + 1200*v + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*s - 42*s = 39*s - 60 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*f - 70 + 15*f + 70.\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 0.6562242 millimeters?\nAnswer: 656224.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bss when three letters picked without replacement from llslllblslllll.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*k - 1660 = -43*k. Calculate the remainder when 153 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 70 and 1010?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 3*l = 0. Suppose l*j = 2*j - 430. Suppose -3*z + 7*z = -5*s + 213, 4*s + j = 5*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fef when three letters picked without replacement from fefeeefefeeeeefe?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3 + 3)\/(12\/3). What is the closest to -1\/4 in -4, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 75\/7) + 334\/(-1169).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -33134 * 0.05\nAnswer: -1656.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -23*v**2 + 29*v + 12. Let r(f) = 4*f**2 - 5*f - 2. Let k = 1149 - 1143. Determine k*d(z) + 34*r(z).\nAnswer: -2*z**2 + 4*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8821*x**2 + 19*x - 7*x - 13*x.\nAnswer: 8821*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -5  (b) 3  (c) 3147.791  (d) -6.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 = -3*v - 9. Suppose 2*j = j + v. Suppose -4*g = -46 + 6. What is the greatest common factor of j and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50363 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 464 a factor of 298709744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 218049891?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -585100 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - 20 = 2*f, 2*z - 18 = -2*f - 24 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -301091 - -1.\nAnswer: -301090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 2, -18, 4, -24, 243.\nAnswer: -24, -18, -10, 2, 4, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from nnnlnxnnxzannlg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2416837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3\/47 - -2318\/235. Let q be 3\/(-15) + 108\/11. Let w = h - q. Which is the second biggest value?  (a) w  (b) 4  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (2*-1*((sqrt(16) + 2*sqrt(16))*6 + sqrt(16)))\/((sqrt(56)*-1*-5)\/(-2*sqrt(7)*-4)))**2.\nAnswer: 608*sqrt(2)\/5 + 184857\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + 33 = 4*s + 5*h, -h = -5. Let p = s + -1. Let z be p\/(-6)*(-2)\/(-3). Which is the second biggest value?  (a) -4  (b) 4\/3  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5727152*j**2 - 111111109 wrt j?\nAnswer: -11454304*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 78 * 0.242\nAnswer: 18.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 4 + 0)*(3 - 2 + 2) - 14 + 0 + 0)*(1 - 1 - 2)*(0 + 3*d + 0).\nAnswer: 120*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:05 PM and 8:04 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 166*l - 164*l - 55117292 = 0. Suppose -3*z = -5*n - 14399975, 3558661 - l = -5*z + 3*n. Round z to the nearest one hundred thousand.\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q = -m - 506 + 440, -4*m - 439 = -13*q for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -3*x**3 - 51*x**2 - 84*x - 1428. Give t(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 527 and 5589889?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 18788837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.3229595 micrograms?\nAnswer: 0.0000000000003229595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.05 - -0.08. Let n = -1.97 - j. Let y = n - 0. Is y greater than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 + (-147)\/(-15))\/(5\/25). Let y be ((-6)\/(-9))\/(26\/o). Sort -38, y, 3, 0 in descending order.\nAnswer: 3, y, 0, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0689 * 0.7503\nAnswer: -0.05169567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-four fifths of a tonne in kilograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3556*k**3 - 5186 wrt k.\nAnswer: -10668*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36447801 is divided by 1740?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -8 + -14?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((8\/(-772))\/2)\/((27\/(-63))\/((-162)\/(-189))).\nAnswer: 2\/193","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/(((v\/(v**(1\/4)*v))\/v)\/v)*v*(v*v**18)\/v assuming v is positive.\nAnswer: v**(89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-990)\/(-50) + -2)\/((-8)\/(1280\/(-32)))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81 = 5*u - 3*r, 2 = r + 4. Let n = u - 12. Solve 0 = -n*f + 4*k - 8, 3*f - 2*k + 1 = -3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 150b (base 12) to base 7.\nAnswer: 10112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 5:43 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t + 3*w - 124, 3*t - 85 = w + 21. Let k = t - 34. Solve k*j + 1 = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 9, 11, 19, 39, 77?\n\"Answer: l**3 - 3*l**2 + 4*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4353422 divided by -1?\nAnswer: 4353422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (9\/(-8))\/((-6)\/(-4)). Which is the third smallest value?  (a) q  (b) -2  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**2 - 67*n - 2. Let t(f) = f**2 + 2*f - 1. What is -a(o) + 2*t(o)?\nAnswer: 3*o**2 + 71*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 252, 288, 440, 768, 1332?\nAnswer: 2192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3550\/13 - 24876\/91. What is the closest to n in -2\/17, 1\/2, 33\/13, 2\/3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-6)*p*p*p**(-3\/8))\/((p*p**5)\/(p*p**(-2)\/p*p)) assuming p is positive.\nAnswer: p**(-91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00259 minus -15?\nAnswer: 15.00259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13149*b + 3*q - 79 = 6581*b + 6572*b, 0 = -4*b + 4*q - 80 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -42*w**3 - 4 + 41*w**3 - 7*w + 5*w. Let r be f(0). Let z(t) = t**3 + 4*t**2 - 2*t - 3. Calculate z(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 259?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggr when three letters picked without replacement from rggrg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 26333, 52664, 78995, 105326?\n\"Answer: 26331*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.062 - -8.138. Let u = -9 + m. Let q = 1.3 + u. Which is the nearest to -0.1?  (a) -2  (b) q  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1998\/(-444)*(4\/(-6) - -2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 2*m**2 - 5*m - 4. Let n be o(4). Suppose n + 2 = t. Let h be 3*1\/(-2)*10\/(-3). Solve 3*q + 1 + 3 = -2*r, -4*r = h*q + t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42819 <= 42810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 1646 divide 1366673800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 3, d: 4, s: 7}. Give prob of sequence dso.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2783 a factor of 492507510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of u + u + 3*u + 2 wrt u.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -5*d**3 + 2*d**2 + d. Let r be 49\/4 - (-5)\/(-20). Suppose 0 = 3*n + r, -5*n - 27 - 38 = -5*c. Let g(i) = -2*i + 17. Let l be g(c). Determine y(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((5*1*sqrt(190) - (((sqrt(190) - -1*sqrt(190)) + sqrt(190))*-2 + sqrt(190)))*4)\/(-5*sqrt(110)\/(sqrt(99)\/sqrt(81))).\nAnswer: -40*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -8*y. Suppose -t + 4*t + 3*q = 15, t + 5*q - 25 = y. Is t smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 2*x**2. Let d(n) = 2*n**2 + 5. What is s(d(g))?\nAnswer: 8*g**4 + 40*g**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*w**2 + 0*w**2 + 855*w - 856*w to the form j*w**2 + t + z*w and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (105\/(-28))\/(22\/(-88)). Solve t - 6*t + 5*v + 50 = 0, t = 2*v + r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the third derivative of -k**5\/150 + k**4\/15 - k**3\/5 - 2*k**2. Factor l(v).\nAnswer: -2*(v - 3)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*i - 10 = -4*w - 23*i, -30 = -2*w + 6*i for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 415\/6 + -70. Are f and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.03851 + 0.03851. Which is smaller: -1776 or v?\nAnswer: -1776","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 388 - 148. Let k = v + -203. Which is the biggest value?  (a) 2\/7  (b) k  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 2272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 215 + -200. Solve -t = -5*j + 2*k, j + 5 = -3*k + 5*k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 + 4*r**2 + 7*r - 9. Let b be q(5). Let p be ((0 - 2) + 13)*b. Determine h so that 5*h + 4 - 12*h + h**2 + p*h = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 428*f**5 + 2*f**4 + 20*f**3 - 2*f + 32903?\nAnswer: 8560*f**3 + 24*f**2 + 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 477 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a century in months?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (2*-2*sqrt(1980))\/(1*sqrt(180) + sqrt(50)\/sqrt(40)).\nAnswer: -48*sqrt(11)\/13 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -2*-2*sqrt(7) + -2 + sqrt(7)*2 - (-4 + sqrt(700)*1 + -2).\nAnswer: -4*sqrt(7) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 2558200 to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.488 * -3\nAnswer: 1.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 5*j**3 + 114*j**2 + 8*j + 705. What is f(-23)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 989 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-4\/5)*x**(-4\/11)*x**(3\/5)\/x*x*x**(-3\/4)\/x)**(19\/6))**20 assuming x is positive.\nAnswer: x**(-9671\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/((l**(-2)*l)\/l))\/l**15)\/(l**4)**8 assuming l is positive.\nAnswer: l**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4868351 and 2056?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that -5*h**3 - 65*h**2 + 320*h - 340 = 0.\nAnswer: -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -12 + 4 + -4 + 0 + 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -502 at most as big as -501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 2*m**2 - 15*m - 35. Give d(12).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - (-28725)\/825 - 26.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3215.941041 rounded to the nearest ten?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 2*m - 2*m = -8, -5*m - 10 = x. Suppose 0 = 4*s + x - 1, -2*s + 52 = c. Let u = -44 + c. Calculate the greatest common divisor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 94*t. Let w(b) = -354*b - 8. Determine d(w(u)).\nAnswer: -33276*u - 752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4679\/4 - -1170. Which is the nearest to -0.1?  (a) s  (b) 0.3  (c) 0.4  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 37200 by 5.\nAnswer: 7440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 329*f**5 - 504*f.\nAnswer: 6580*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 9) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000027777613 rounded to seven dps?\nAnswer: -0.0000278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -449 + 225 + 224 + 11*r**3.\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5705 divided by 7.\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/6705 and -13\/10728.\nAnswer: 53640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 - -9. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*g**4 + 17*g**4 + 4*g**4 + (0*g - 4*g + g)*(-256 - 35*g**3 + 256).\nAnswer: 121*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 372803175 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**3 + 10*b**2 + 31. Determine l(-10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 28*z**2 - 48. Suppose -2*o = -5*o + 9. Let q(k) = -4*k**2 + 7. Let c(y) = o*u(y) + 20*q(y). Factor c(g).\nAnswer: 4*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1640?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -6657.7125 rounded to 0 dps?\nAnswer: -6658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5149 = -3*m + 236. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-2\/11)*(z*z*z\/(z*z**(-6\/11))*z)\/z*((z**(-1\/3)*z)\/z*z)\/z*z*z**1*z**5\/z**4*z**(-4)*(z\/z**(-3))\/z*z*z assuming z is positive.\nAnswer: z**(199\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15905194.256577 + -15905201. Let o = z - -1.7434245. Let m = o - -5. What is m rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 4*u = 99, -4*o + 100 + 32 = -5*u. Suppose -i + 0*q = -4*q + 1, q = 5*i - o. What is the highest common factor of i and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 2 + (-4 + 1 + 2)*(-14 + 1 - 2))*(4*d**2 - 3*d**2 + 0*d**2).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -5*v - 4. Let f(l) = l**3 + 6*l**2 + 33*l + 389. Let z be f(-8). Let n(t) = 5*t + 5. What is z*n(d) - 4*g(d)?\nAnswer: 5*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2 + 0)\/1 + -14. Let v be 7\/2*q\/(-21). Let s = -4 - -6. Solve -5*r - 2 = -s*p, -r - p + 3 = v*p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**2 - 3515*y + 218174. Determine d(61).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 304, -5, 2, -13 in descending order.\nAnswer: 304, 4, 2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0 + (-1)\/(-4) - 7\/(-28). Which is the smallest value?  (a) -5  (b) k  (c) 5  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -918*i + 1. Let o(h) be the third derivative of h**4\/12 - 50*h**2. Calculate m(o(r)).\nAnswer: -1836*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*j**2 + 4*j**2 - 2*j**2 + 12*j**2 as i*j**2 + c + z*j and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1 - 6*x**2 - 5*x**2 - 2*x**3 + 9*x**4 - 8*x**2 wrt x.\nAnswer: 216*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 93, 248, 387, 504, 593, 648, 663, 632?\nAnswer: 549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13430 = -3*i - j, 0 = 3*i - 20*j + 25*j - 13426. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.4916 + -3.\nAnswer: -5.4916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add together 57 and 1.39599.\nAnswer: 58.39599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 882677 is divided by 1481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12744\/(7 + 11) + 21 is divided by 153.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -3*x**3 - 2*x**2 + 2. Is z(-3) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65 - 35 = -l. Let u = 138 + -98. What is the greatest common factor of l and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a meter in millimeters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 390124, 780258, 1170392, 1560526, 1950660?\nAnswer: 2340794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5437 or 1?\nAnswer: 5437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/(-5) - 2\/5. Let u(i) = -3*i**3 + 4*i**2 + 4*i. Let s(l) = l**3 - l**2 - l. What is q*u(x) - 4*s(x)?\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -782 + 784. Which is the nearest to i?  (a) -0.1  (b) -1\/5  (c) -4  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -44*t + 225. Let i be d(6). Let q = 38 + i. Let v(o) = -o**2 - o. Let a be v(-1). Sort a, q, -3, 1.\nAnswer: -3, q, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 613 = -5*g, 5*g = f - 2*f + 122. Suppose 2*x - f = -5*h, -5*x + x = -4*h + 140. What are the prime factors of h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 388 - 63 = 17*c for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3024.2 rounded to the nearest ten?\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q + 16. Let u be b(-4). Suppose 7*l + 20 = u*l. Suppose 82 = v + l*c, 2*c + 24 = v - 70. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 2*h**3 - h**2 + 2*h**3 - 3*h**3 - 8*h**3 - 2*h + 2 + 6*h**3. Determine i(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -711 + 733. Which is greater: l or 10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -60 + 280. Let z = 75 - n. What are the prime factors of z?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/6 - (-17)\/3. Suppose u*l - 176 = 2*l. Let t = -29 + l. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 10, y: 4}. What is prob of sequence ytyy?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate w - 32 + 81*w**3 - 10 - 97*w**3 wrt w.\nAnswer: -48*w**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**2 - 13*x + 29. Let o be h(-15). Let v = 0 - -0.4. Which is the smallest value?  (a) o  (b) v  (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of d**2*x + 913839*d**2 + 2*d*x - 2607287*x wrt d.\nAnswer: 2*x + 1827678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.2 + -0.8. Let v = p + -11.4. Let r = v + 12.000144. Round r to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**3 + 24*l**2 + 25*l + 32. Let r be y(25). Solve -9*m = 50 - r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + b = 4*b + 18, 0 = -5*o + 4*b + 28. Factor 3*l**3 - l**2 + 2*l**o - 1 + 0*l - 3*l + l**4 - l**4.\nAnswer: (l - 1)*(l + 1)**2*(2*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12060 and 150?\nAnswer: 60300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*d + 6*d - 24*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 533 + -90. Is p - (0 + 15\/(-5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.38706367 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r**2 - r**3 - r**2)*(4 - 4 + 10*r**2) + (-5*r**3 - 3*r**4 + 5*r**3)*(1297 - 1297 - 63*r).\nAnswer: 179*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -54533 (base 14) in base 7?\nAnswer: -1506663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6322*v - 104 + 104 - 1918*v)*(1 - 2 + 2).\nAnswer: 4404*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*x - 7*x = -980. Solve x + 30 = -44*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -9032106 or -9032105?\nAnswer: -9032105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.212162 centuries in millennia?\nAnswer: 0.9212162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4.8 and -189.3238.\nAnswer: 908.75424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gggiigkk. Give prob of sequence gkgi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 9\/18*(-10)\/(-1). Suppose -2*x = -z*q + 701, 0 = x - 3*x - 6. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -51*c**2 - 4. Let x be g(-2). Let d = -127 - x. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 213 + -216. What is the closest to 7 in -2\/9, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (34656\/14440)\/(8\/130)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-20))\/((-44)\/55)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 3 - 4)*(-3*n + 0*n + 5*n) + (4 - 2 + 3)*(-n + 0 + 0) + (2 - 1 - 3)*(n - 5 + 5) + n + 0*n - 2*n in the form f*n + j and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6553 - 45947\/7. What is the second biggest value in 14, c, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 2*m - 2. Let x be z(-1). What is the tens digit of (-20)\/8*x - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3468\/288 + -5 - 140\/21.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6357*q**3 - 6361*q**3 - 6349*q**3 + 19068*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -23 - -23.000034. What is j rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 - 1. Let b = 749 + -3711\/5. Find the common denominator of b and (-3)\/(u - (-8)\/(-54)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2563918070?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21)\/(sqrt(14)\/sqrt(2)))**2 - (sqrt(192) - (-1 + sqrt(192))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 422820257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 times -130401.456\nAnswer: 13040.1456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 3 + 5)*(2 - 2 + 1)*(-3 + 1 + 3)*(-3 - 5 - 2)*(-3*z + 2*z + 3*z) to g*z + n and give g.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {s: 4, a: 14}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11 + 15. Suppose -60 = -m - g*m. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -71 + 71 + 17*o as v + f*o and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(-6\/7)*k**6\/k)\/((k\/(k**(2\/49)\/k))\/k**34) assuming k is positive.\nAnswer: k**(1822\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 574 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 71601389 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 u be 5 - (-2 + 13 - (-2750)\/(-385)). Let -2*h + 4\/7*h**2 - u = 0. Calculate h.\nAnswer: -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one halves of a microgram in nanograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*o**3\/11 - 11217670*o**2\/11 + 44870704*o\/11 - 44870712\/11 = 0. Calculate o.\nAnswer: -5608839, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 360.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**3 + 2*y**2 - 1. Let d be a(-1). Suppose -s + 12 = d. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1630 (base 9) to base 6.\nAnswer: -5430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -355*o + 359*o - 9*v - 70 - 6 = 0, 3*o = -15*v - 117 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -23.9150179 rounded to three dps?\nAnswer: -23.915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 13\/38  (b) -0.1  (c) 6\/5237\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -221*k + 256*k + 1610 = 0. Let q = -82 - -40. Let z = q - k. Calculate the smallest common multiple of 11 and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let -4*c**3\/3 + 5717360*c**2\/3 - 57173300*c\/3 + 142933000\/3 = 0. Calculate c.\nAnswer: 5, 1429330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*d = 11*d + m + 47, 0*d + m - 64 - 23 = -7*d - 2*m for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -1 + -5 - -2 - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7*(-15)\/(-35))\/(1\/(-3))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3383?\nAnswer: 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -8*w - 8. Let q(p) = 2*p + 3. Let u be q(w). Let y = u + 5. Solve -2*b = -6, b = -y*r - b - 14 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 229*u - 188*u + 246 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 313 + -312. Sort -4, z, 0.06 in decreasing order.\nAnswer: z, 0.06, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(800)*1 + 5)**2*-4*-1.\nAnswer: 800*sqrt(2) + 3300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f = 3*f + 45. 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: Let i(g) = 3*g - 30. Suppose 0 = -0*q - q + 91. Suppose 3*w + 2*o = q, -3*w - 3*o = -9 - 78. Calculate the remainder when w is divided by i(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5035053*j**4 + 228710*j wrt j?\nAnswer: 60420636*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 6 = -k - 0*c, -3*c - 114 = -5*k. Let v = 21 - k. Suppose l + v - 4 = 0. Solve r - 13 + 2 = 2*b, l*r - 8 = -4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 + 10. Suppose 0 = 5*h - h - 20. Calculate the smallest common multiple of u and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*j + 114 = 100 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -2*r**2 + 2. Let q(l) be the third derivative of -l**5\/30 - 4*l**2. Let t be q(-1). Calculate x(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 48 and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3.9, 1\/2, -2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a + 4*a + a)*(a + 5*a - 5*a) + (0 + 0 + 2*a)*(0*a - 6*a + 4*a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.2396 - -0.3096. What is the smallest value in 0.2, f, 79?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83 is divided by 39.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**2 + 17*o - 1047. Let u be m(25). Solve -h - 2*d = -4, d = -4*h - u*d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1331086*b**2 + 2*b + 35316878 wrt b?\nAnswer: 2662172*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**2 + 7*d - 8. Give r(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -l - 4*f - 7, -4*f = -16. Let z be 59*l*(-170)\/(-4). Let w = 2558 + z. Calculate the common denominator of 133\/18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.6 + 1.1. Let g = 14.7 - 15. What is the nearest to 0.2 in -2, t, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/2*1*(-312)\/2002\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tjcccicctyccctcjc. Give prob of sequence yci.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - (-11 + 23 + 9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {g: 1, w: 6, k: 2, t: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * 428.64.\nAnswer: 171.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 6*c**2 - 4 - 2*c + 0)*(2 - 4 + 1) to a + h*c**2 + t*c and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 134458118 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 7 = -3*p, -2*s - 9*p = -11*p - 10. Suppose 15*y + s*y = 304. Solve 4 = 4*n - 0*r - 2*r, -3*n + y = 5*r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-56)\/10*83)\/((22\/(-10))\/11). Calculate the greatest common divisor of d and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-2)*(4 + 2)\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the second derivative of -o**5\/140 + o**4\/28 + o**3\/42 - 3*o**2\/14 + 32*o - 1. Determine m, given that z(m) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 27.7773 + 0.0127. Let u = -28 + m. Let n = -4.79 + u. Which is the closest to 0.2?  (a) -3  (b) n  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 138432 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**2 + 9*n + 11. Let i be k(9). Let t = -2 + i. Let g = t - 3. Solve -2*o = -2 + g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 5, 2, 1, -3 in ascending order.\nAnswer: -4, -3, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(960) + (sqrt(960) - sqrt(960)*1) + sqrt(960) + sqrt(960))*-1)\/(-6*sqrt(50)\/sqrt(10) + sqrt(5) + (sqrt(5) - sqrt(320)*-4)).\nAnswer: -24*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1109631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -k + 2*k - 7*k + 0*k to u*k + j and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -29724\/104083 + -2\/14869. What is the closest to w in -82, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 14*q**2 + 33*q + 9. Is o(32) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d**3 - d**3 - 2*d**2 - 2*d**4)*(-3 + 14 + 4).\nAnswer: -30*d**4 - 30*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0122205175 to 4 dps.\nAnswer: -0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -30*j**3 + 7*j**2 + 26*j + 2. Let p be d(-2). Calculate the highest common factor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:59 PM and 12:42 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 2 = k - 3, -3*i + 4*k = 3. Is (-3)\/(-6)*-254*i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the first derivative of n**4\/4 + 2*n**3 + n**2 + 546. Give m(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 59845624 to the power of 1\/2, to the nearest integer?\nAnswer: 7736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 10 = 0, 0 = -m - 0*q - q + 25. What is the remainder when (7 + -1 - 10) + 121 is divided by m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 12 = 13. Suppose 8*h - 3 = p*h. Let v be (3 + -4)*(2 - h). Which is smaller: v or 1\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = h - 345, 4*h - 3*h - 346 = 3*w. Calculate the remainder when h is divided by 75.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -42751\/2 or -21375?\nAnswer: -21375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*f = -82*f + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 - -43703150?\nAnswer: 43703154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 4*d - 22, 5*d - 8*y - 37 = 6*d. Solve -3*x + 16 = -5*n, 4*n - 6*n + 2 = d*x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.18 and 0.05.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 543*m**2 - 143*m + 161. Is w(33) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.3 + 0.85. Let w = -0.45000193 - q. What is w rounded to seven dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -347580659 - -188116033. Let l = o - -159464624.969999792. Let t = -1.03 - l. Round t to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/((z\/z**(-22))\/z)*z)\/(z**(-4\/21)\/z))\/(z\/z**(-16)*z*z*z\/(z\/((z*z*z**29)\/z*z))*z) assuming z is positive.\nAnswer: z**(-1466\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1031997 is divided by 343997?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 369*f + 20*f**2 + 20 + 78*f - 21 - 17*f**2.\nAnswer: 3*f**2 + 447*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 212*i + 113*i + 27*i as v + y*i and give y.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-860)\/102555)\/(((-352)\/99)\/(-16)).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*c**3 - 2*c**3 + 0*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 2*d + 14. Let f(w) = -4*w - 21. Let t(h) = 2*f(h) + 3*s(h). Let b(p) = -80*p. Calculate t(b(v)).\nAnswer: 160*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/22)\/((-5448)\/19976)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 160523946 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1 + -7 + 12\/((-4284)\/(-2839)). Put -0.11, -2\/9, s, 0.3 in decreasing order.\nAnswer: 0.3, s, -0.11, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**3 - 13*g**2 - 13*g - 40. What is the units digit of c(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2052 + 893 = -61*a for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**3 + 22*u**2 - 32*u + 37. Let f be (1 + 4)*(-2 - 12\/5). List the prime factors of i(f).\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, -35, 24, -3?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**2 - 3*a + 69. Let v be y(0). Let d be 92\/6 + (-23)\/v. Calculate the greatest common divisor of 105 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -1\/1257  (b) -1\/79  (c) -0.1  (d) 4  (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 974 - 3002 = 1515*d + 14637 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 5*x**2. Let i(l) = -293*l - 12. Let o(g) = g + 3. Let r(f) = -i(f) - 4*o(f). Give r(w(k)).\nAnswer: 1445*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/7  (b) -3  (c) 0.8  (d) 2\/17  (e) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 609846 minus -23082?\nAnswer: 632928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 + -4 - ((2 - 5) + -3). Let b = -497 + 579. Calculate the highest common divisor of s and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, 43, -3\/5 in ascending order.\nAnswer: -3\/5, 2\/9, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81*u - 1541 = -2432 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -33209 to the nearest one thousand.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 26482.07g?\nAnswer: 26482070000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2*3\/12*6. Let n be (10\/o)\/((-7)\/157500). What is n rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 199553 is divided by 474.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**3 - 5*d**2 + 6*d + 3. Let l be h(-6). Suppose -46 + 13 = -l*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**1)**(1\/74))**(-24)\/(((s**2*s*s)\/s*s\/(s*s\/(s\/(s\/(s\/(s\/s**(-4)))))))\/(s**1*s*s**1\/s)) assuming s is positive.\nAnswer: s**(124\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14083.8*-0.1.\nAnswer: 1408.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.8658779 milligrams?\nAnswer: 0.0000000008658779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -25321, -27237, -29153, -31069, -32985, -34901?\n\"Answer: -1916*i - 23405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -90 - -88. Let x be (r\/4)\/(4\/(3 + -235)). Solve -25 = -d + 5*i, -5*d + x = 3*i - 4*i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**3 + 3*d**2 - 2*d. Calculate i(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is g in 12240\/7*g + 100\/7 + 374544\/7*g**2 = 0?\nAnswer: -5\/306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**3 - 5*d**2 + 4*d + 6. Determine k(8).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 196 = -15*v + v. Let k be v\/(-24)*2\/(-7). What is the closest to -0.1 in k, 1\/6, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 14*y. Let g(j) be the first derivative of j**3 - 61. What is f(g(s))?\nAnswer: 42*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -19.6 + 20.1. Let q = -3.1 + 0.1. Let u = q + 8. Which is the biggest value?  (a) -2  (b) x  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -768333409 and 0.905?\nAnswer: 768333409.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 5*j**2. Let x(f) = 601*f - 1. What is x(r(y))?\nAnswer: 3005*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 41779515 - 67009275. Let y = -25229747.999999 - u. Let q = y + -12. What is q rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 139 + -138.9947. Let n = 4.5853 - y. Round n to one dp.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1098 times -1.104?\nAnswer: -1212.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add 8 and -873.\nAnswer: -865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-122)\/7)\/(1\/(-7)*(-129)\/(3096\/(-240)))?\nAnswer: 61\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-171)\/81 - -2) + -6*2\/(-108). Solve 0 = -0*v + 4*v - 5*r - 5, p = -4*v - 4*r + 32 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oooooloo. What is prob of picking 1 l and 1 o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -318, -2552, -8618, -20430, -39902, -68948, -109482?\n\"Answer: -319*x**3 - 2*x**2 + 5*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 11 - 16 - g**2 + 13 + 6*g. Is n(4) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 38260*x + 229889. What is j(-6)?\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 107\/6*(-6)\/(-10). Let i = v - 46\/5. Which is the third biggest value?  (a) 4  (b) -5  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 17 - 11. Solve 4*t - x = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 6 = -a - 4*a, -2*a - 8 = h. Let u(g) = -34*g - 20. Let y be u(h). Let m = -103 + y. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -866, -3478, -7832, -13928, -21766, -31346, -42668?\n\"Answer: -871*p**2 + p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -4*((sqrt(119)*-1*4 - sqrt(119)) + 4*(sqrt(119) + (2*sqrt(119) - sqrt(119))) + sqrt(119))\/(-1*sqrt(7)*-3 - (sqrt(7) - sqrt(700)*2)).\nAnswer: -8*sqrt(17)\/11 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110111100001111 + 1101110110?\nAnswer: -110101110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-44)\/(-462) + 106\/210?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 5*j = -25, j = -0*h + 3*h + 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 - -2 - (-14 + 11). Suppose 2*s - o*s = -4, -164 = -2*g - 3*s. Calculate the remainder when g is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 2*n. Let i(s) = 67*s**2 + 2*s + 6. Let g(w) = -3. Let d(j) = 2*g(j) + i(j). What is t(d(y))?\nAnswer: 134*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q - 3*q + 3*q)*(37 - 19 + 312 + 93).\nAnswer: -1269*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -4*g + 4*r, 3*g + g = r - 9. Let t be 30\/(-135) + (-40)\/(-18). Suppose 4*y + 4 = -0*i + 3*i, -4 = i - 4*y. Sort i, g, t in descending order.\nAnswer: i, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (8\/5)\/(18\/45). Suppose -4*y - 1 = o*m - y, -5*y = 15. Suppose -z + 4 = 3*z + m*r, 2*r = -3*z + 1. Solve -z - 1 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7, 17, 19, 1, -49, -143, -293, -511?\nAnswer: -809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -95 - -143. Calculate the greatest common divisor of n and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/2 - (-6)\/20. Let k = -0.1 + -0.2. Let u(l) = -l**2 - 3*l - 3. Let n be u(-2). Which is the nearest to n?  (a) g  (b) -4  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 9205*s - 19773. What are the prime factors of c(6)?\nAnswer: 3, 53, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -112011002022 - 1?\nAnswer: -112011002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 33350513 to the power of 1\/2, to the nearest integer?\nAnswer: 5775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k + 1. Let w(v) = v - 11. Let o(p) = 2*l(p) + w(p). Let h be o(-8). Find the common denominator of (h\/2)\/((-2)\/136) and -87\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hjjihjh. What is prob of sequence hjh?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 189\/(-546) + (-2)\/(-4)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5381*w**4 + 2507193*w**3 - 2507193*w**3 + 8672 wrt w.\nAnswer: 21524*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 27 - 18. Suppose -20*f - 18 = -29*f. What is the remainder when k is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i - 2. Suppose 1 = 3*b - 2. Let j be 7 + (1 - b) + -1. Let m be f(j). Solve 0 = -0*l - m*l - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -2*d**3 + 9*d**2 - 166*d + 474. Give b(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5026312*w**3 - 2*w**2 + 90*w - 132 wrt w?\nAnswer: 30157872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 25445 = 22*r + 25345 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, o: 2, u: 1, r: 12, n: 3}. What is prob of picking 1 r, 2 n, and 1 t?\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven halves of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 0*q + 0*q**3 + 6*q + q**3 - 4 - 6*q**2. Let v be a(5). Find the first derivative of v + 2*z + z**2 - 2*z wrt z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 189\/(-36)*(-4)\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the third derivative of 3\/40*p**6 + 0*p + 0 + 3\/20*p**5 + 7*p**2 + 0*p**3 + 0*p**4. What is the third derivative of j(g) wrt g?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 14*a + 2. Let j be (-2)\/(-14) - (-258)\/(-42). Let h(i) = i. Let u(l) = j*h(l) + w(l). What is the tens digit of u(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 93, 118, 179, 294, 481, 758, 1143, 1654?\nAnswer: 2309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/(-1) + 0 - -1. Let i(b) be the third derivative of b**4\/6 - 2*b**3\/3 + b**2 + 51*b - 55. Calculate i(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.05, -3, 162, 0.5, -0.05 in descending order.\nAnswer: 162, 0.5, 0.05, -0.05, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 - 5)*(2*o - 2*o - 8*o)*(-9 - 4*o**3 + 7 - 2).\nAnswer: -128*o**4 - 128*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 10, n: 10}. Give prob of picking 3 x.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3398 a factor of 16862701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1*-1*(-67)\/1. Suppose -71 = -3*v + 2*o, 5*o = v - 57 + 16. Suppose -v = -4*y + m. Calculate the least common multiple of y and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3533\/5426 or -2?\nAnswer: -3533\/5426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the third derivative of d**5\/20 - d**4\/12 - d**3\/3 - 212*d**2. Let j(r) = 5*r**2 - 3*r - 4. Determine -7*h(q) + 4*j(q).\nAnswer: -q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -100 divided by 1.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 649071929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sqbsbbbbqsbjs. What is prob of sequence sqs?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -44*q - 206. Let a be g(-14). What is the highest common divisor of a and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wsws when four letters picked without replacement from {w: 4, j: 1, s: 6}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*z - 4*z - 30981 = -34271 for z.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 728*t**2 + 2807*t + 2091079?\nAnswer: 1456*t + 2807","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94031 = 78*b + 36*b + 134425. Which is bigger: -2002 or b?\nAnswer: -2002","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -14*w**4 + 59*w**3 + 3*w**2 + 4965 wrt w.\nAnswer: -56*w**3 + 177*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**2 + 14*z - 12. Suppose 4*j + 2*g - 3 = 33, j + 2*g - 6 = 0. Let m be a(j). Suppose 2*t = m + 10. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/830 and 43\/5976.\nAnswer: 29880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -5*z - 36. Let o be d(-4). Let f be 1 + -1 + 21\/1. Let r = f + o. Solve -2*n + l = -0*l + 2, 5 = r*n - 5*l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28 + 43. Let g = 19 - v. Suppose -6*p = -2*p - 20. Sort g, 0.1, p in decreasing order.\nAnswer: p, g, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5864*v + 1260*v + 1 - 2)*(-v**2 - 4*v**2 + 4*v**2).\nAnswer: 4604*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 4*o + 17 = 0, -3*o = -7 - 8. Suppose 2*s + 4*z = -0*s + 54, -j*s = -5*z - 70. Calculate the highest common factor of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3770892 and 50958?\nAnswer: 3770892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 140133000 (base 5) to base 6.\nAnswer: 23104032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 229 = -4*k + 257. Let m = -76 + 81. Calculate the remainder when k is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3757399*o - 12 - 3757425*o + 12 + 7514793*o.\nAnswer: -31*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -3082520 (base 9) in base 11?\nAnswer: -a26761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d + 131 - 155 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 1283250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 732*d + 10252. Determine s(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pppeeevpupeepeevpejp. What is prob of picking 1 p, 2 u, and 1 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**2. Suppose 0 = 4*i - 121 - 131. Suppose 0*x + 3*x + 3*y - 69 = 0, -5*y + i = 3*x. Let d(p) = x - 13 - 13 + p. Calculate r(d(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 5, -4, 0.5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1 - 5\/(-2))*(-92)\/(-3). Factor -13*c - 7*c - b*c**3 + 16*c**2 + 50*c**3.\nAnswer: 4*c*(c - 1)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6033 in 0.11, -0.3, 1\/3, -0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1916 + -5610. What is u rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.3 + 0.8. Let m = -496\/63 + 76\/9. Suppose -2 = -3*l + 5*l. What is the closest to l in m, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p + 3*k - 12, 0 = -2*k + 7*k - 25. Suppose -5*u - 18 = j, p*u - 2*u = -2*j. Suppose -3*o - 354 = -3*t + j*o, -t = -5*o - 128. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8*-1 + (-4 - -8). Does m = -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from {r: 9, m: 2, k: 3, e: 4}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 153, 309, 455, 585, 693, 773?\nAnswer: 819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7537.\nAnswer: 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (2 + -8) - -7) + -5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 4*p = 1, 1 + 3 = -4*y - 4*p. Suppose 0 = 14*a + 9 - 37. Solve -a*f + y*c + c = 4, 0 = -4*f + 4*c + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7 - (16 + -5)) + 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -4\/7, 2\/11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 21 = 2*i, 3*q = 2*i - 5*i - 9. Suppose 5*f + 5*w - 285 = 0, 12 = 5*w + i. Let h be -4 + -6*f\/(-75). Which is greater: h or 2\/33?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 - 15 + 18 - 105*m as i*m + w and give i.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 21, -5, -1, 0.2, -1.13, -1\/4 in descending order.\nAnswer: 21, 0.2, -1\/4, -1, -1.13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put together -25.707 and -7.\nAnswer: -32.707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -1, -236.3, -3, -2\/11, -5, 203?\nAnswer: 203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 4*p**2. Let h(x) = 2*x - 15. Let g be h(8). Determine q(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hkukkhdunkkkkhukku. What is prob of sequence dnh?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/4*(-1)\/3*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2 - (4\/(-38) - (-128415)\/(-57)). Suppose -n = -6*a + 3797. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 1\/399175804?\nAnswer: 1\/399175804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 5) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*s + 54 - 38 - 16 - 7*s**3.\nAnswer: -7*s**3 - 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 201044 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20704 is divided by 362?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/15767 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*h**0\/h)*h**(-2\/25))**7\/((h**(3\/2)\/(h**(1\/4)\/h))\/((h*h**4)\/(h*h**(1\/4)*h))) assuming h is positive.\nAnswer: h**(347\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1987371?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2319 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 18 - 29 - 5*v**2 - 35 - 9*v**3 - 4*v wrt v.\nAnswer: -54*v - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 40*c**3 + 68 + 17*c**3 + 16*c**3.\nAnswer: -7*c**3 + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add together 23760 and 2.9375645374.\nAnswer: 23762.9375645374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - -1200.\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21685.\nAnswer: 5, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 812 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2875610209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -43357 and 5.\nAnswer: -216785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 78*l**2 + 3*l + 2. List the prime factors of y(-1).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -4*k - 43. Let z be f(-12). Suppose 4*b + 4*a - 60 = 0, 0 = -2*a - 3 + 13. Calculate the greatest common factor of z and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38160024 - 19080021 - 19080003 + 8*s**3.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = m - 14, -3*c + 19 = 7. Suppose 0 = -0*o + m*o - 12. Calculate the remainder when 10 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 183 or 197?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**3 + 2*d**2 + 4. Suppose 3 = y - 0. Let g be v(y). Let w be (2 - 2) + g - -1. Let k(b) = -b**2 - 4*b + 4. Give k(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 40*k - 4. Let v be 1\/4*1 - (-9)\/12. Let i = v - -1. Is 12 a factor of g(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3416, 8971, 14512, 20039, 25552, 31051?\nAnswer: 36536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**3 + 94*h**2 + 1206*h - 134632. Give i(91).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 132464500 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 q be (-51)\/34 + (-5)\/(-2). Let b be -3*(2 + (-7)\/3). Does 9 divide b\/(0 + q\/19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(-2) + -1*1\/2. Let p = 194 + -193.9. Sort p, 1, -6, a.\nAnswer: -6, p, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-7)\/(-21)*(3 + -1). Which is the nearest to -2?  (a) -3\/2  (b) v  (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**3 - 13*l**2 - 13*l + 1. Let h be o(14). Let j be (-330)\/(-2) - (-1 - 7\/(-7)). What is the greatest common divisor of j and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 5*q**3 - 7*q**2 + 12*q - 3. Let w(u) = 12*u**3 - 15*u**2 + 26*u - 7. Let i(k) = 7*a(k) - 3*w(k). Let r = 7 + -12. Give i(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-2)*-2*24. Let r be 90\/p + (-14)\/(-8) + -2. Let d = 1 - 1. What is the second biggest value in 4, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes before 3:14 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 + 40\/(-12)*-3. Let h be ((-2)\/16)\/(j\/22). What is the smallest value in -5, 3\/5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1851*s**3 - 3*s**2 - 293*s + 6.\nAnswer: 11106*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the second derivative of -136*c - 4\/3*c**3 - 1\/45*c**6 + 0 + 0*c**2 + 2\/5*c**5 + 1\/18*c**4. Find n, given that w(n) = 0.\nAnswer: -1, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 3*b**3 - 92*b**2 - 235*b + 135. What is a(33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 118548 or 118544?\nAnswer: 118544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*r = -30*r + 5*n + 10, 0 = 5*r + 15*n + 30 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 7606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11 - -17. Suppose -3*d = i, -7*v - d + 168 = -2*v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1872) + (1 + sqrt(1872)*5)**2)*1*-3.\nAnswer: -140403 - 396*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 19 = 101. Let s = 10 + p. Suppose 5*k - s = -3*j + 28, j - 28 = -k. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**2 + 17*l + 46. Let z be y(-14). Sort -0.5, z, -45 in ascending order.\nAnswer: -45, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**4 - 20*x**2.\nAnswer: 5*x**2*(x - 2)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -12  (b) 0  (c) -57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 47795441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/((-5)\/3) - (8 + -5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s**3 - 3*s**2 + 3*s**2)*((0*s**2 + 3*s**2 - 4*s**2)*(1 - 9 - 4) + 4*s**2 + 7 - 7).\nAnswer: 32*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -149, 0.024, 3, 4?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p - 4*h - 20, 4*h + 17 = -48*p + 51*p. Let x(l) = l**3 - 9*l**2 + 2*l + 4. Let v(n) = -n**3 + 9*n**2 - 3*n - 5. What is p*x(u) + 2*v(u)?\nAnswer: u**3 - 9*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4200 is divided by 602.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the third derivative of -c**4\/24 - c**3 - 68*c**2. What is g(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11, -70, -171, -314, -499, -726?\nAnswer: -995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24199*t - 24080*t = 53 + 66. Let o(d) = -d**3 + 7*d**2 - 6*d + 4. Let j be o(4). Put j, -4, t in descending order.\nAnswer: j, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1171428431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 + -7)\/((8\/6)\/(272\/1020)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 6195, 10365, 14537, 18711, 22887, 27065, 31245?\n\"Answer: u**2 + 4167*u + 2027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -4*x - 4. Let k be p(-8). Let t = -16 + k. Solve 3*y - t = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3 and 62121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 549?  (a) 0.5  (b) 2\/307  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -6*o**3 - 18*o**2 - 35*o + 57. List the prime factors of m(-14).\nAnswer: 97, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-17 - 1)*(-3)\/(-2). Let n = -21 - x. Let d be (-56)\/21*(-9)\/n. Solve -d = -h - h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 5*a = -40, 2*a + 4 = -3*g + 3. Suppose -g*f - 3 = -120. Let d = f - 28. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 3 + 0 + 2*q**2 - 11 + 4*q - q**3. Let s(g) = -g**3 + g**2 + 5*g - 9. Let w(m) = 4*r(m) - 3*s(m). What is w(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 2 + 1)*(h**5 + 2 - 2 + (3*h + 4*h - 6*h)*(0*h + 0*h - 2*h**4) + 2 - 2*h**5 - 2 + h**5 + h**5 - 4*h**5 + h**5 + h**5 - h**5).\nAnswer: -20*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 5 + 7 = 0. Let g(o) = -o**3 - 3*o**2 + o - 3. Give g(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 42 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 17 - 2 - (2 - 1) and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 2 r, and 1 m when four letters picked without replacement from mrsmiirimnlinl?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 62*l - 645. What is the remainder when s(14) is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 14 + (-4 - (-4 + (3 - -2)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/(2 + (-35)\/18) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**2 + 4*v + 2. Let w(u) = -u**2 - 1. Let n(g) = s(g) - 5*w(g). Let k(t) = -17*t**2 - 11*t - 20. Calculate -4*k(b) - 11*n(b).\nAnswer: 2*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*h**3 - 31694920*h**2 + 190169385*h - 285254010.\nAnswer: 5*(h - 6338978)*(h - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (63\/(-819))\/((3\/4)\/(21\/7))\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*y + 9 - 8 - 1.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/30*1*6\/(-8).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5376 = 2867*o - 3123*o for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 61514971?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -65 divided by 1130354\nAnswer: -65\/1130354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Do 59 and 68 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 + -8. Suppose v + 5*l = 3*l - 6, l + g = 2*v. Suppose v = -j - 7*c + 3*c - 24, 2*c - 6 = 4*j. Put 2, -5, j in increasing order.\nAnswer: -5, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -3*w - w - 56, 2*w + 4*n = -28. Does 9 divide 12\/(-84) + (-2326)\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -24646 - -73939\/3. Suppose v*q**2 + 4\/3 - 4\/3*q = 0. Calculate q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9*u**3*y**2 - 4*u**3 + u**2*y**3 + 2*u*y + 151 with respect to y.\nAnswer: -18*u**3*y + 3*u**2*y**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2008 a factor of 7805738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/21, 31, -4, 3.53, 0.5, 6.3 in descending order.\nAnswer: 31, 6.3, 3.53, 0.5, 1\/21, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 574062291?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -5*a**2 + 15980*a - 1. Let z(g) = -11*g. Determine l(z(p)).\nAnswer: -605*p**2 - 175780*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1 - 0)*((-12)\/(-3) + 5812). Suppose -11*m + 542 = -t. List the prime factors of m.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-3*((-8)\/6)\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 274643*k**4 - 3*k**2 + 2*k - 1914219 wrt k.\nAnswer: 1098572*k**3 - 6*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5854865 is divided by 97581.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a microsecond in nanoseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -420 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-35)\/(-28)*(16 + (-3856)\/240)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8250\/13 or -634?\nAnswer: -634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/((-2 + 3)\/(-6)). Suppose -5 = h - s*h. Factor -12*f**2 - 7*f**3 + 3 + h - 3*f - 2.\nAnswer: -(f + 1)**2*(7*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29057 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 201716, 201461, 201032, 200423, 199628, 198641?\nAnswer: 197456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35516 divided by -17758.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r**4 - 55*r**3 = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(128) + 1)*5 + (sqrt(128) + 0 + sqrt(128) + 0)**2 + -1 - ((sqrt(128) + 1 + sqrt(128) + 3 + sqrt(128) + 3)**2 + 1)) + 0.\nAnswer: -686 - 296*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 23 + 5*c - 10 + 13 - 3*c. Let k be p(-12). Let g = 1 + -1. Solve g*b - 2 = -k*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**3 + 4*c**2 - 3*c - 5. Let d be x(-3). Let v = 50 + d. What are the prime factors of (-4 + 1)\/(245\/v - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4\/6)\/(1\/3). Let s be (-2)\/6*(1 + v). Let z(q) = 4 - 5*q - 3 + q - 4*q. What is z(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 6*y - 3. Let p(z) = -4*z**2 + 2*z. Let k be p(-2). Let v = -16 - k. Suppose 2*u - 30 = 5*n, -v*u + 17 = -3. Let l(q) = -q + 1. Give n*l(w) - r(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 10 = 14. Calculate the common denominator of -151\/6 and ((-242)\/9)\/(x - 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes before 10:30 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 384, 340, 296?\n\"Answer: -44*u + 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7869303091?\nAnswer: 13, 29, 20873483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3009023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 11 = -2. Suppose 17 + 13 = -y*m. Calculate the remainder when m*2\/(-1) - 2 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 3*w - 7. Suppose 5*s - s = -u + 5, -3*s - w*u = 6. Suppose -57*g = -68 + 11. Solve 2*x = 3 - g, s*x = 3*f - 13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 2. Let n = 1.2 + q. Is n bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.09 - -7.09. Let l = 17 + -6. Let a = l - o. Sort a, -2\/5, -0.07.\nAnswer: -2\/5, -0.07, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1631*u - 13*u**3 - 1631*u.\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -17837095.670998198 + 17837093.61. Let m = x - -2.061. Round m to 7 dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(-3*(-4)\/24). Suppose -r*p - 2*p = 0. Suppose 0 = 3*q - q. Is q >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*p + 258*p - 12*p - 16008 = -73*p for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = s - 4, 4*s + 5*d - 12 = s. Let o be s - 3 - (-45)\/3. Let j = 41 - o. Solve -2*k - 2*k - r = -5, -5*r + j = -5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -122*r**3 + 93. Let q(s) = -121*s**3 + 92. Let v(z) = -z**2 - 4*z + 4. Let p be v(-3). Let l(f) = p*q(f) - 6*b(f). Differentiate l(a) wrt a.\nAnswer: -345*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the third derivative of 1\/60*b**5 + 1\/120*b**6 + 0*b**4 + 0 + 3*b**2 + 0*b**3 + 0*b. Find the third derivative of y(x) wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2069420 or 2069466?\nAnswer: 2069420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.201, 3\/7, -0.2, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t - 5*z = 31 - 16, -6*z - 18 = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 491508 and 2997?\nAnswer: 491508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1095765, -1095790, -1095835, -1095906, -1096009, -1096150, -1096335, -1096570?\n\"Answer: -v**3 - 4*v**2 - 6*v - 1095754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -139782 (base 15) to base 4.\nAnswer: -3212103122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16251, 130394, 440271, 1043748, 2038691, 3522966, 5594439?\nAnswer: 8350976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2640 + 2685. Solve 27*j - 36*j = -w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 362\/7 at most as big as 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -3673 divided by 2\nAnswer: -3673\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 817322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1335764*z**5 + 2895*z**2 - z + 19 wrt z.\nAnswer: 80145840*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 28099971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/(17\/((-61370)\/2565))\nAnswer: 76\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -5878, -11564, -17248, -22930, -28610, -34288?\n\"Answer: a**2 - 5689*a - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(96)\/sqrt(4))\/(sqrt(3) - (sqrt(3) + -2*sqrt(75))).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13746877\/584 + -23539. Calculate the common denominator of -53\/7 and h.\nAnswer: 4088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 74*o - 17. Suppose 32*c - 34*c = 22. Let x(z) = -37*z + 9. Let r(a) = c*x(a) - 6*n(a). Is r(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 2*b**3\/15 - 718276*b**2\/3 + 14365496*b\/15 - 4788496\/5 = 0.\nAnswer: 2, 1795686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 48 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -61171 or -61098?\nAnswer: -61098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**3 + 2*c**2 - c + 6. Let z be w(4). Let b = 56 + z. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.2 and 359847.16?\nAnswer: 359847.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4) - -3*(sqrt(4) + -4*sqrt(4)))\/(sqrt(24)\/(sqrt(12)*1)).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -576 = -93*r + 77*r. What is the lowest common multiple of 135 and r?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 835550?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 553358 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 25 = 4*s, -5*a = -0*s - 5*s - 35 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 3*f**2 + 5*f + 25. Suppose -5*n - 5 = 5*r, 2*r - 3*n = 2*n - 30. What is the units digit of g(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.019615219 to five decimal places.\nAnswer: -0.01962","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 4*h + 44. Let u(w) = 40*w - 14*w - 16*w + 2 - 9*w. Let t(d) = c(d) - u(d). Let z(x) = -x**2. Determine z(t(j)).\nAnswer: -9*j**2 - 252*j - 1764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -4062589, -16249891, -36562053, -64999069, -101560933, -146247639?\n\"Answer: i**3 - 4062436*i**2 - i - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6110 by -5.\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 3*i**3 - 163380*i**2 - 7358043*i - 7194660 = 0.\nAnswer: -44, -1, 54505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 1 r, and 1 t when three letters picked without replacement from rtueaqerruur?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-75))\/(-2*(-1)\/(-10)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 327*w - 248. What is the units digit of d(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10111010100 (base 2) in base 6?\nAnswer: 10524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -546*g + 828. Is f(-4) a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 406142975 to the power of 1\/2, to the nearest integer?\nAnswer: 20153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67*h + 270 - 69 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2754 - -2756. Solve -c - 3 = j*o, 5*c + 2*o - 23 + 6 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 501689916 to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*q**2 + 21*q**2 - 7*q**2 + 12*q**2 to d*q + z + o*q**2 and give o.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47417723.\nAnswer: 757, 62639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**2 + 7*p + 14. Let v be m(18). Suppose 2*g + 6*g = v. Is 26 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*k**2 - 7240*k - 2620880.\nAnswer: -5*(k + 724)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 4*y**2 + 6*y - 16. Let k be x(-5). Suppose -9*m - k = -18*m. Solve 3 = -3*w - 2*n - 0, 5*w = -3*n - m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 + ((-18)\/(-7))\/(-1). Let u(g) = g + 3. Let j(y) = -y**3 + 7*y**2 + y - 9. Let t be j(7). Let v be u(t). Which is greater: c or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 2*y**3 - 17*y**2 - 7*y - 38. What is m(9)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -128 - -249. Suppose t = -4*k + 27, t - 4*k = 1 - 6. Calculate the greatest common divisor of t and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -304*q + 42 = -298*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 154290 = 154293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 22*d + 0 - 32*d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 80971628 a multiple of 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1486170 and 21465?\nAnswer: 708903090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9463289 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**3 - 5 + 3 + 4 + 0 + 3*b**2. Let z be o(-3). Solve -p = z - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 227625.\nAnswer: 3, 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 + -2dc89371?\nAnswer: -2dc89370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*i - 5 + 5 + (-1 + 1 + 2)*(5*i - 4*i - 4*i) - 1 + 1 + 11*i)*(-i**2 - 2*i**2 + 4*i**2) to x + s*i + w*i**3 + k*i**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**3\/(x*x**(-3)))\/(x**(-2\/27)\/x**(-2\/11)) assuming x is positive.\nAnswer: x**(1453\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1211841 divided by 27.\nAnswer: -44883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(114)\/sqrt(6) + 1 + sqrt(1216).\nAnswer: 1 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = 2*d - 21. Let n = 39 - d. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 4*h - 41 = 0, -3*m + 43 = 4*h + h. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 250 - 260. Let v be 4\/10 + ((-26)\/o - 1). Let j(t) = 2*t - 7. Let n be j(5). Solve k = -3*a - n, -v*a - 4*k + 5 = -k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:44 PM and 6:39 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -3168700 to the nearest one hundred thousand.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.06*607\nAnswer: -36.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 296\/12*(14\/4 - 2). Let a = u - -18. Calculate the remainder when a is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 85.73 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-542)\/18 + 0 - (-17317)\/155853?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 473.5 - 471. Let j = -2.9 + 0.4. Let p = j - k. Which is the second biggest value?  (a) p  (b) -3  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-s + s + 5*s + (5 + 1 - 4)*(-1 + 1 + s))*(-1 + 2*s + 1) to l*s + m + f*s**2 and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 63*g**2*p**4 + g**2*p**2 + 13*p**4 - 7*p**2 + 16 wrt p?\nAnswer: 1512*g**2*p + 312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + -8825406870?\nAnswer: -8825406865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5482 - 5482.2. Let y be ((-14)\/(-104))\/((-12)\/33). Let f = -1\/16 - y. Is f smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/(-7) - (4 + -1 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/1*1*-5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 54*q - 47*q = 198 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -20 + 22 - 0*2\/(-4). Suppose -67*z - 5*y + 13 = -68*z, n*z - y - 1 = 0. Calculate the lowest common multiple of 18 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 602 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes after 1:27 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 90 - 21 = 0. Let s be (-1)\/(4\/8 + 0). Calculate the remainder when 12\/4 + s - -66 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 2*m - 2*m = -6, 0 = 5*i - 2*m - 36. Suppose -i - 13 = l. Let o = 15 + l. Which is the second biggest value?  (a) o  (b) 5  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the first derivative of 2*v**2 - 2*v - 2. Let g be x(4). Suppose 4*b + d - 16 = b, d - 21 = -4*b. Solve -b*n + 1 = -g for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.58 + -0.08. Let t = -19 + 18. Sort t, 2, k in descending order.\nAnswer: 2, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -95.24 - 4.\nAnswer: -99.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 + 224?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51284 is divided by 16945.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/(-2) - 14\/(-4). Suppose n*x + 36 = 12*x. Sort x, -20, 0 in decreasing order.\nAnswer: x, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 2*t**2 - 11*t - 8. Let o be u(6). Put o, -3, -4, 2 in decreasing order.\nAnswer: 2, o, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -6 + 3*i**2 + 4*i**3 + 2 - 5*i**3. Suppose 3*k + 5*d - 3 = 6, 4*d + 9 = 3*k. Calculate s(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 13670*n + 40888. Calculate p(-3).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) 168  (c) 99  (d) -1  (e) -0.1  (f) 78\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 32*g - g**5 + 34 + 14 - 13*g**3 - 7 + 8*g**4 - 22*g**2 - 9.\nAnswer: -(g - 4)**2*(g - 2)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-1 - 4 + 3)*(o - 2*o - o) - 8*o - 5*o + 12*o)*(-2*o - o + 5*o) to the form y + u*o**2 + f*o and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/((k\/(k*k**(2\/3)*k))\/k))\/k*k*k**(-20) assuming k is positive.\nAnswer: k**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**14)\/(v\/v**(-12)*v) assuming v is positive.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2454, -4960, -7504, -10092, -12730?\nAnswer: -15424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1976 or -4370?\nAnswer: -1976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 3, 4, 0, -5493 in descending order.\nAnswer: 7, 4, 3, 0, -5493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1056991 to four decimal places.\nAnswer: -0.1057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 3 = -0*l - 4*a, 4*a + 9 = -5*l. Let k be (l - -1)\/(2\/(-1)). Let x = k + 2. Let v(d) = -2*d - 2. Determine v(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52759*a**2 + 313*a + 52774*a**2 - 313*a.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s = 4*u - u + 23, -u = s + 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -15*s + 18. Let g be -1 - (-3 + ((-10)\/(-1) - 3)). Let o be r(g). Let q = o + -74. Calculate the remainder when 65 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*v = 4*v - 3055. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 527?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 43628 + -4?\nAnswer: 43624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2476\/3 - 824. What is o in 2\/3 + 4\/3*o**3 - 2*o - 2*o**4 + 2\/3*o**5 + a*o**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 22859, 91442, 205747, 365774, 571523?\n\"Answer: 22861*v**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**2 + 7*l - 75. What is y(-9)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29469 is divided by 2946.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252)*-3 + (sqrt(7) + sqrt(77)\/sqrt(11))*-2 + ((sqrt(245)*5)\/sqrt(7))\/sqrt(5)*4)*-6)**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (5\/((-50)\/(-156)))\/(117*25\/(-9750))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -57 less than -231\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 490 - 491. Let j = 7.98 - 7.6. Let w = j + -0.68. Which is smaller: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/(3*(-2)\/6). Solve 2*b - 7 = -2*g - m, 2*g + 1 = 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the first derivative of -5*b - b**2 + 11 - 5*b + 12*b. Let r(a) = -6*a + 7. Let g(y) = 3*r(y) - 8*z(y). Give g(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the third derivative of d**6\/660 + d**5\/66 + d**4\/33 - 3*d**2. Factor z(g).\nAnswer: 2*g*(g + 1)*(g + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4749.6 - -213234\nAnswer: 208484.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5.7 - 6. Let x = -7 + 7.1. What is the second biggest value in x, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7059, 10435, 13811?\nAnswer: 17187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**2 + 3*i. Let c(f) = -16*f. Determine c(j(g)).\nAnswer: 16*g**2 - 48*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**3 - 6*z**2 - 8*z - 5. Let o be f(-5). Suppose 3*x = b - 99, -3*x + 153 = 147. What is the units digit of 350\/b*(1 - (-266)\/o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*y + 11*y + 7*y = -3*p + 14*y + 27, 13*y = 5*p - 102 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -40, -2\/7, -0.5, 2, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -49.8*-3\nAnswer: 149.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5808*k**2 + 26933544*k + 31224853323 = 0. Calculate k.\nAnswer: -102021\/44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.08 - 0.78. Let f = 0.2 + c. Let d = 550 - 555. What is the nearest to d in f, 3\/7, -1\/6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30314200 to the power of 1\/2, to the nearest integer?\nAnswer: 5506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -114, 309549, -2.\nAnswer: -114, -2, 309549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16306?\nAnswer: 2, 31, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 3 = c. Suppose 0 = -7*y + 3*y - y. Solve a + 3*r + 15 = y, -c*a + 2*r + r = -6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45 is divided by (0 + 2)\/((-2)\/(-12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 59 - 55. Suppose -4*b = 4 - 12. Sort q, -2, b in ascending order.\nAnswer: -2, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45055014937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 19*u = 4085. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/d**(-1\/22))**(1\/30)*(d*d\/(d\/(d\/(d\/((d\/(d\/(d*d\/d**(-3\/5)*d)))\/d)*d)))*d*d*d)\/d**(-2\/83) assuming d is positive.\nAnswer: d**(103941\/18260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4578880 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1596507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1a9564 (base 13) to base 4.\nAnswer: -2211123203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3692621 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x - 4*x - 3*x)*(-1 - 2*x**4 + 1 - x**4 + 5*x**4 - 3*x**4 + (0 + 0 - x)*(0 - 2*x**3 + 0)) - 58*x**5 - 57*x**5 - 5 + 116*x**5.\nAnswer: -4*x**5 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.07, -3, -267, -5, -1\/6, 0.3 in decreasing order.\nAnswer: 0.3, -0.07, -1\/6, -3, -5, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -26688 + -51?\nAnswer: -26739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 128*b - 3837. What is y(30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, 0.4, -1\/7 in ascending order.\nAnswer: -14, -1\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 0 - 125*h - 180*h.\nAnswer: -305*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -5*p**2 + 2*p - 7. Let j(a) = -14*a**2 + 3*a - 20. Let o(y) = -8*f(y) + 3*j(y). Let m(s) = -2*s**2 - 8*s - 5. Give 5*m(v) - 6*o(v).\nAnswer: 2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*(v**(-1)*v)\/v*v*v*v*(v*v**(1\/13))\/v)**(-1\/7))**33 assuming v is positive.\nAnswer: v**(-1320\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1 + 0 + 18322*a**3 - 6101*a**3 - 6106*a**3 - 6113*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvvqvvq. What is prob of sequence vqvq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2274284*v = 2274236*v + 2160 for v.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is (1\/2)\/((-14)\/(252\/(-99)))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 240998143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -109\/2686 and -73\/136.\nAnswer: 10744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*d - 14, 2*d - 2856 = -2*g. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 9*q - q**3 + 2*q**2 + 6*q + 16 - 8*q - 3*q + 4*q**2. Calculate m(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 2\/75 of a century?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = d - 3*c - 1, 0 = 4*d + 3*c - 33. Suppose 2*t - d*t = -8. What is the third derivative of -113*u**4 - 5*u**t - 7*u**5 + 113*u**4 wrt u?\nAnswer: -420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8038 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1627*c - 1595*c - 160 = 0. What is the nearest to c in -1\/9, -4, -2\/15, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74 = -4*m - 13*n + 8*n, -4*m = -2*n - 60. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1 and 85.\nAnswer: -8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k + 3. Let x be r(-6). Let c(f) = 4*f**2 - 4*f - 2. Is c(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.1 or -1355\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 - -51 - (33 + -5) - 73?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the first derivative of -z**3\/3 - 445. Let u(m) = -448*m. What is u(r(w))?\nAnswer: 448*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a gram in milligrams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-792)*-11)\/(1\/9)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**3 - 6*u**2 - u + 11. Determine z(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 8*y**2 + y - 1. Let i be 1\/(-6) - 34\/12. Let x(q) = -q**2 - 6*q - 4. Let b be x(i). Suppose -s - 5 = 0, 0*s - b*s = 3*w + 22. What is a(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3671 is divided by 3496.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -121, -161, -263, -457, -773, -1241, -1891, -2753?\n\"Answer: -5*q**3 - q**2 - 2*q - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -9256202.762 rounded to the nearest 100?\nAnswer: -9256200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k - k + k)*(k**2 + 0*k + 3*k - 5*k).\nAnswer: -2*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 19*l + 18. Let t be q(-1). Which is the nearest to -1\/4?  (a) 2  (b) 3\/4  (c) t  (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 5, x: 1, d: 3, z: 3}. Give prob of sequence yxy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2022, -2440, -2866, -3300, -3742, -4192, -4650?\nAnswer: -5116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -13a (base 16) in base 14?\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5651*s + 5744*s + 465 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 171034262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 2*z = -142, -5*p + 0*p + 395 = 5*z. Suppose 10*j = 5*j + 10. Suppose q + j*q = p. What is the highest common factor of q and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.7 + -481934038.\nAnswer: -481934036.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -6*g + 2*g + 2 - 2*g + 246*g**2 - g**3 - 253*g**2. Let t be u(-6). Let -q**2 + 6*q**3 + 8*q + 5*q**2 + q**t + q**4 + 7*q**2 = 0. What is q?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -3*m + 26. Let q = 7859 - 7857. What is the lowest common multiple of q and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the second derivative of i**5\/20 - i**4\/4 - i**3 + 3*i**2\/2 - 30*i. What is z(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16*z + 89 - 35 - 24 - 25 to the form n*z + v and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 22 + -17. Suppose 3*x - 2 = m*w, -w - 6 = x - 6*w. Solve i = x*q + 13, 0 = -3*q - 4*i - 5 - 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 908 is divided by 170.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 3 + 0)*(31*b - 256 + 256)*(4 + 1 - 6)*(4 + 0 + 0) in the form g + x*b and give x.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/8*1\/(-3)*444\/481.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(44) + sqrt(44) + 0 + -1 - (1*sqrt(99)*2)\/sqrt(9)) + 2)**2.\nAnswer: 4*sqrt(11) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -14*40*27\/315\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-6))\/(594\/88)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(75) + 0 - 4*((-2*sqrt(75))**2 + sqrt(75))) + 2 + 2 + ((sqrt(75) + 0)**2*6 - (-1 + sqrt(75) + -4)).\nAnswer: -738 - 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 3 + ((1 + sqrt(704))*3*2 - (sqrt(704) + 2*sqrt(704) + 1 + 4)))**2.\nAnswer: 48*sqrt(11) + 6337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -71 - -19. Let k = 18 + g. Let o = 34.013 + k. What is o rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0*(-1 + 2) + -8. Suppose -c = 5 - 7. Let j be c\/w + (-13)\/(-4). Solve -y = -k + 1, -j*k + 2 = -4*y - 0*k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 724 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.167900513 rounded to three dps?\nAnswer: 0.168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 6613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 90 - 152. Does 4 divide 5 + -1 - p - 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lal when three letters picked without replacement from lallllllllaa.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -35306 - -35306.014133. What is k rounded to 4 decimal places?\nAnswer: 0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 divided by 100088?\nAnswer: 7\/100088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -7746275 from -13953.\nAnswer: 7732322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 2*j + 2. Let x(a) = -2*a + 23. Let z = -6 - -19. Let v be x(z). Determine r(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -407*l = 3605 + 3148 - 1055 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1283, 7, 5, -41?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**0\/(d*d*d*d\/(d*(d\/(d\/d**(3\/11)))\/d))*(d\/(d**(-1\/12)\/d))\/((d\/d**(-1\/7))\/d*d*d)*((d\/(d*d*d*d**2))\/(d**(-2\/29)\/d))**(18\/11) assuming d is positive.\nAnswer: d**(-229991\/26796)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = 2*h - 5*g, -2*h - g - 29 = -2*g. Let v be 13\/5 + h\/(-35). Suppose -25 = v*z - 5*t, 4*z - 2*t + 15 = t. Solve z = 4*b - 4 + 16 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 188a (base 12) in base 7?\nAnswer: 11464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 146 and 1387.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 35*a - 114 + 324 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**2 + 1. Suppose 4*h - m = -5 - 2, -2*h + 3*m = 11. Suppose -8*l = -3*l - 20. Let k(w) = 7*w + 4 + 6*w - 13*w + 5*w**2. Calculate h*k(q) + l*f(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -38*h**2 + 26*h + 65. Let w be g(-3). Let d = 360 + w. Solve -d*j + 2 = -7*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -431, -736, -1045, -1358, -1675?\n\"Answer: -2*h**2 - 299*h - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-172 - -172 - (-11 + 0 - -1)) + -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 take away 34173483?\nAnswer: -34173481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-42 + 631 + 108)*(2*p - 2*p + p) + (4 + 1 - 3)*(2*p + 0*p - p) as j*p + c and give j.\nAnswer: 699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-1)\/(-3) + (58\/6 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the third derivative of -m**7\/210 - 67*m**6\/120 + m**5\/3 - m**4\/12 - 155*m**2. Find the third derivative of a(h) wrt h.\nAnswer: -24*h - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t\/(((t\/(t*t**(-13)))\/t)\/t))\/t)**(-22) assuming t is positive.\nAnswer: t**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (252\/(-3))\/(-7) - (-21 + 29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6516*u - 3249*u - 3255*u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 2*r**3 + r**2 - 11*r + 24. Calculate l(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-112)*7*3\/6*-2\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.4  (b) -5  (c) 8\/7  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-48)*8*-9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 2*u**3)*(-3*u + 2*u + 0*u) + 26*u**4 + 2*u + 26*u**4 - u**4 - u**4 + 2*u**4 + 0*u**4.\nAnswer: 54*u**4 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -17*z + 158 - 158 as d + n*z and give n.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 t, and 2 n when four letters picked without replacement from {y: 1, p: 1, w: 1, t: 1, n: 10}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 110720?\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -37772 + 60566. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**1)**(1\/37) assuming m is positive.\nAnswer: m**(1\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1335026837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -15*f**5 - 1580*f**4 + 22355*f**3 - 84180*f**2 + 120220*f - 56800 = 0.\nAnswer: -355\/3, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in twenty-nine fifths of a century?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-15)\/10 - 0) + (-2 - -4). Which is the second biggest value?  (a) 3\/19  (b) -4\/3  (c) -2\/11  (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1\/13487 - -107905\/121383. What is the nearest to 1\/3 in k, 0.04, -0.5, -2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 270 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let -m**2\/4 + 603*m\/4 - 40095\/2 = 0. Calculate m.\nAnswer: 198, 405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**2 + 12*x - 5. Let a be p(-11). Let s = a - -22. Find the third derivative of s*v**2 + v**3 + 0*v**3 - 2*v**2 wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54924 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 88439 divided by -1?\nAnswer: -88439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8052*d - 8065*d + 16119*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 1:16 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -139 - -149 - (-1 + 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*z**2 + 3*z**2 - 5*z**2.\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 45 - 150. Let h = 116 + j. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -91.1 + 96.1. Which is the closest to 1?  (a) -0.39  (b) -0.4  (c) -1\/4  (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 142849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.1 + -0.6. Let j = 0.547 - 0.407. Which is the nearest to -1?  (a) u  (b) j  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/9993528 and -61\/186545856.\nAnswer: 559637568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 21000 + 0?\nAnswer: 21000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 24*g - 820. What is the remainder when 76 is divided by x(35)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**2 - 7*p + 4. Determine s(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 6457*o + 3351. Is k(3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 64 = 179. Let w be -8 + 11 + j\/(-7). Which is the nearest to -0.1?  (a) w  (b) 1\/2  (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (6 - 3) + (-13 + -15 - -14).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13174297 divided by -2029.\nAnswer: -6493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is (-10640)\/(-9) + 1 + (-20)\/90 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -35 + 50. Suppose -5*c = -2*z - 42, -3 = 2*c - 2*z - d. Solve w - i = 1, 7*i - 2*i - c = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes after 4:09 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -118 + 120. Is (-38)\/3*((-5)\/p - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5 or 0.035?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -16*f - 2. Is 12 a factor of v(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25238 = 4*h + 2*j, 50*j = -3*h + 47*j + 18924. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.09 times -20\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 4) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m + 6*m - 3*m)*(1 - 1 - 4).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 2 d, and 1 j when four letters picked without replacement from drjwdddjddr?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 7541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -3*j**2. Let w(g) = -1270955*g**2. Give w(d(u)).\nAnswer: -11438595*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2*2 - (-9)\/9. Solve -c = -l*a - 13, 16 = -2*c - 0*c - 4*a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -4*w**3 + 28*w**2 - 24*w = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(121)\/(-2*sqrt(11)) + sqrt(44)\/(sqrt(4)*-4))**2.\nAnswer: 99\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**2 - 2*b - 15. Let t be i(6). Let a be 27 - t\/(-3)*-1. What is the greatest common divisor of a and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -229 + 229.595. Let q = -0.095 + w. Put q, 1\/5, 0, -0.5 in increasing order.\nAnswer: -0.5, 0, 1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2755 - -2558. Put x, 5, 2 in increasing order.\nAnswer: x, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -15760*o - 330961. What is b(-21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -333*o**2*p**3 - 2*o*p**3 - 2*o*p**2 - 27*p**2 wrt o.\nAnswer: -666*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 2*s = 5010, 5*o = -2*s - 886 + 5876. Let c = o - 291. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.0334 and -0.611?\nAnswer: 0.0204074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 36098043\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 7*l**3 + 5. Let s(o) = -20*o**3 - 14. Determine 14*k(c) + 5*s(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -43 + 11472\/432 + 16\/1\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -3*z**5\/4 + 3*z**4 - 9*z**3\/4 - 3*z**2 + 3*z = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0.3546 * 1.251\nAnswer: 0.4436046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - -8 - (-3 + (-186)\/(-510)*5).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/739308 and 125\/1108962?\nAnswer: 2217924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -1 + (-2)\/1 + 52 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -32400 by -1200.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 983 - 979. Sort k, 403, -3\/8 in ascending order.\nAnswer: -3\/8, k, 403","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.6 - 0.3. Let o = 14.85 - 15.45. What is the second biggest value in 5, o, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of c**5 + 2052732*c**4 - 106282*c**2 wrt c.\nAnswer: 60*c**2 + 49265568*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-30)\/(-8)*(-15)\/((-180)\/916). Is n equal to 285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -356 + 504. What is the highest common factor of 37 and u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3\/12 + 1\/(-4). Suppose -27 - 93 = -4*p. Suppose 3*i - p = -z*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2017 - 875?\nAnswer: -2890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i = -15 + 31 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -71 + 76.3. Let u = -5 + d. Which is the smallest value?  (a) -0.5  (b) u  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + (-5 - (-48 + -1)) + 0 + -8.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 0*f = -k + 10, 5*f = -10. Let x(g) be the third derivative of -g**5\/60 + 7*g**4\/24 + 2*g**2. What is x(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**3 + 11*z**2 - 5*z - 20. Give f(10).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-80)\/18 + (-24)\/(-54) - 453. Let m = z - -470. Let h be ((-1)\/(1\/(-26)))\/2. Calculate the greatest common divisor of h and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(4\/7)*k)\/(k*k*(k\/(k*k**(-5\/6)))\/k))**44*(k**(-1))**(1\/3)\/(k**0)**(2\/21) assuming k is positive.\nAnswer: k**(225\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 58 = 13. Let a = -10 + r. Suppose 0 = -0*k + a*k. Solve 0 = 5*b - 3*c - 18 - 7, 2*c = k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, -4, 0.5, -1\/202?\nAnswer: -1\/202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 21*c**4 - 295*c**2 - 93*c + 27?\nAnswer: 252*c**2 - 590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 15259884707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 5 - 2)*(-2 - 4 + 3)*(2 - 3*g**2 - 2).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 428 and 72118.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*y - 596 + 344. Suppose -2*h + 31 = 3*f, 4*h = -f - 0*h + 17. What is the remainder when y is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 3 = -v, v = -5*g + 18. Let a(m) = -2*m - 3. Let b be a(-4). Suppose -p - g*o + b*o = -35, 16 = -4*o. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 495 minutes before 7:19 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/(s*(s*(s*s**(-6)*s*s)\/s*s*s)\/s)*s)\/s)\/s**(2\/23)*(s\/(s**(1\/2)*s))\/(s*s*s*s**(-2\/11)*s))\/((s**0)**(-2\/11))**17 assuming s is positive.\nAnswer: s**(-1217\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand w - w + w**5 + (5 + 2 - 5)*(0*w + 0*w - 2*w**5) - 9*w**5 - 4*w**5 - 4*w**5.\nAnswer: -20*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((1\/18)\/((-1)\/4))\/((-131)\/786).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 35334 and 5148?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -974, -0.1, 5, -4, -796, -3.\nAnswer: -974, -796, -4, -3, -0.1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/1693 and 42?\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*y = -19*y. Suppose -5*m + 2*r + 18 = 0, -r = -5*m - y*m + 14. Suppose -m*x + 3*a = -3*x + 6, -4*a + 12 = 0. What is the closest to -0.1 in 5, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the first derivative of c**7\/420 - c**5\/60 - 2*c**3\/3 - 3. Let l(m) be the third derivative of u(m). Find the second derivative of l(z) wrt z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a millennium in years?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-6)\/8)\/1)\/(275\/(-310200)*282).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -5, 36 in ascending order.\nAnswer: -5, -0.3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the third derivative of -m**8\/336 + m**6\/120 - m**3 - 5*m**2. Let c(u) be the first derivative of x(u). What is the third derivative of c(g) wrt g?\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4701522 and 15386.\nAnswer: 32910654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1329.\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.0056 - -0.0056. Suppose -2*u + 1 = -19. Let o be (-10)\/15 + u\/(-3). Which is the fourth biggest value?  (a) w  (b) o  (c) -3  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 3\/5*g**3 - 9\/5*g**2 + 6\/5*g.\nAnswer: 3*g*(g - 2)*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4143*r - 12502 = -3814*r for r.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -8524849\/5 less than or equal to -1704969?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 463*b - 468*b + 20 = 0. Suppose 0 = 14*m - 19*m - 3*d + 108, -89 = -b*m - 5*d. Solve -20*s - 1 = -m*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*k - 7*k - 1, 13 = 4*g + 5*k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -98*g + 97*g - 8, 13 = j - 2*g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 518902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 69, 3, 45 in descending order.\nAnswer: 69, 45, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2552558 to the nearest integer?\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 2*n**2 - 2*n. Suppose 4*y = 3*p + 25, 4*p + 1 = p - 2*y. Let r(u) be the third derivative of -u**5\/12 + u**4\/6 - 3*u**2. Give p*r(x) - 7*z(x).\nAnswer: x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is b (base 14) in base 15?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1935812508?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -3\/4  (b) 2\/15  (c) -5  (d) 176\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f, 1 p, and 1 r when four letters picked without replacement from {r: 2, p: 2, f: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 77\/8 and -49\/43567109.\nAnswer: 348536872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -8, -18, -28, -38?\n\"Answer: -10*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -5, 137, 0, 252, 5 in ascending order.\nAnswer: -5, -4, 0, 5, 137, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*m**2\/4 + 295*m\/4 - 75.\nAnswer: 5*(m - 1)*(m + 60)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 smaller than 79\/182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from {k: 2, j: 16}?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 3) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:05 AM and 12:57 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 184332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 262 = 5*s + t, -3*s - 2*t + 93 = -67. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 47.78408 - 47.38. Let t = 0.7 + -1.1. Let a = w + t. What is a rounded to four decimal places?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1133170?\nAnswer: 2, 5, 47, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7)\/((-280)\/(-5)))\/((-1)\/3)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1*-3*7\/(-3). Let u(d) = d**2 - 4*d + 3. Let j be u(g). Suppose -j = -4*r - p, 4*p + p = -r - 13. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the third derivative of y**8\/6720 - y**7\/2520 - y**6\/720 + y**5\/120 - y**4\/6 + 2*y**2. Let i(b) be the second derivative of c(b). Factor i(z).\nAnswer: (z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -5*y - 26. Let o(f) be the third derivative of -f**5\/15 + 4*f**2. Let h(a) = -a**2. What is y*h(k) + 6*o(k)?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82*x + 4079 - 5391 = 0 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3*(-30)\/(-36)*(-8)\/(-10). Suppose 26 = l + 4*s - 8*s, u*l - 7 = -s. What is the smallest common multiple of l and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -69255 - -148915. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.06*-0.024\nAnswer: 0.00144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 5*r - 1788 = 0. Let s = r + -316. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 * -0.171\nAnswer: 0.513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**3 - g**2 + 4. Let x be k(0). Let y = x - 5. Let i(d) be the first derivative of 2*d**3\/3 - 1. Calculate i(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -25340, -50674, -76008, -101342, -126676, -152010?\n\"Answer: -25334*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -4*g**2 - 5*g - 6. Let p be f(-2). Let b be (8\/p)\/1 + (-24)\/(-9). What is the highest common divisor of 16 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 1 = -5. Let v be (-4)\/(-12) - (-13)\/(-3). List the prime factors of (-5 - v)\/(w\/(-25)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52600 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1021112 (base 3) to base 4.\nAnswer: 32210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 3*c - 10, 4*q = 7 + 1. Suppose -2*v + 4*f + 34 = 0, 17*v + 5 = 14*v - 2*f. Solve 12 = -u + c*u - v*h, 3*h = -2*u + 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d*d*(d\/((d*d**(-3\/4)*d)\/d*d*d))\/d*d))**35)**17 assuming d is positive.\nAnswer: d**(595\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from ddndddddnndnnd.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 53189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 251 divide 47895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/75*5*9*9\/(-54).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 304893307?\nAnswer: 304893307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -5*r + 17. Suppose r*x + 268000 = 2*x. What is x rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0\/(-2))\/(2\/(-2)). Suppose 17*o - 21*o + 132 = f. What is the remainder when o is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2133210 (base 4) to base 10\nAnswer: -10212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 2*o - 6*o - 5*o + 1. What is the units digit of q(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 - 5*n**2 + 31324*n - 250793. Give w(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 991583*m - 1 + 988150*m)*(-1 + 3 - 3).\nAnswer: 3433*m + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 45\/4 of a microgram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 253952 and 155648.\nAnswer: 4825088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 3*m - 2, n + 3*m + 2 = 4*m. Suppose 0 = 2*p - 5*p. Suppose p = -h + 3. What is the remainder when h is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 99558 is divided by 3205.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1650 divided by 110.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -2*k**3 + k**2 + 16*k + 302. Is c(0) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 134 and 987848?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11200110 (base 3) to base 13.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 12 = -5*l, 4*l + 3 + 12 = 5*k. Suppose -3*o - o + l*o = 0. Solve o = b - 0 - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3 + -7)*(0 + (-6)\/15). Suppose 3*r = x + 12, n*r + 3 = 3*x + 19. Suppose -r = q - 9. What is the greatest common factor of q and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 6538*q + 6557. What is r(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 193?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.0227, 2\/9, 8, 2\/13?\nAnswer: -0.0227","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 - 1. Let m(b) be the second derivative of -b**7\/2520 - b**6\/720 - b**5\/15 - 7*b**4\/6 - 14*b. Let s(q) be the third derivative of m(q). Give s(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -10 - 133*l**2 - 31*l - 4*l**3 - 2 + 59*l**2 + 51*l**2 = 0.\nAnswer: -4, -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**3 - 2*z**2 - 6*z**2 + 2 + 2*z**2 - 5*z. Let m be c(8). Calculate the common denominator of -83\/8 and 305\/m + -3*1.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 14\/(-63) - ((-2)\/9)\/1. Suppose 0 = -2*h + r + 2, r = h - z + 1. Solve -h*k + 15 = -6*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 1)*(2003*b - 659*b + 82*b).\nAnswer: 1426*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.842, -0.5, 12, -5\/2, -0.3 in descending order.\nAnswer: 12, -0.3, -0.5, -0.842, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 479 - 39. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -4*p**3 + 71*p**2 + 302. Let i(t) = -6*t**3 + 106*t**2 + 453. Let r(x) = -7*g(x) + 5*i(x). What is the first derivative of r(w) wrt w?\nAnswer: -6*w**2 + 66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*k + 2131 - 2089 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 525*j = 519*j + 162. Calculate the remainder when 186 is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (4*(sqrt(3) + 4) - sqrt(6)\/(sqrt(18) + sqrt(2))).\nAnswer: 15*sqrt(3)\/4 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 918, -96, 5 in decreasing order.\nAnswer: 918, 5, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -133 - -150. What is the remainder when 32 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1089428507?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -9 + -225*14\/(-378) - 16\/12. Let u(b) be the second derivative of b**4\/12 + b**3\/2 + b**2 - b. Let i be u(-3). Sort i, l, -9, -5 in decreasing order.\nAnswer: i, l, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11830 is divided by 910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:27 PM and 9:28 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + v - 15238 = 0, o + 6098 = 3*o - v. Suppose o = 4*z + 44. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 2*m + 53. Suppose -178 = 4*k + 2*h - 90, 0 = h - 4. Let b be l(k). Solve 5*r + b = 4*r + 5*d, 2*r + 10 = -2*d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 - 6*h - 3. Let p be r(-3). Suppose z + 5 = -4*x, 2*z - p*x - 16 = -x. Is (z - -24)*(-2)\/(-3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -8594824 and -9935?\nAnswer: 8584889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -146*n - 2920. Let z be m(-20). Let t = 8 - 6. Suppose -4*d + 7*d - 12 = 0. What is the smallest value in z, d, 1, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 103207960 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -43*l**2 - 9*l - 3. Let a(g) = -5589*g**2 - 1173*g - 391. Let x(r) = -6*a(r) + 782*z(r). Let u(v) = -30*v**2. Calculate x(u(h)).\nAnswer: -82800*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes after 8:18 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - 6*r - 116 = -4*r - 103, 0 = -4*r - 6*r - 60 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nvegvgggvoio. What is prob of picking 1 o and 1 g?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -52 - -82. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2756 = 6*m - 412*m - 283*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 387 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3115 rounded to the nearest 100?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2251 is divided by 1089.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5835222 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4931 - 9*z**3 - 60*z**3 - 4931.\nAnswer: -69*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -54.295522179 less than 3633?\nAnswer: 3687.295522179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 204 + -1838\/9. Let j = -1.7 - -8.7. Let u = j - 3. What is the third smallest value in d, 2\/9, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 125446 + -1.\nAnswer: 125445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -78\/11?  (a) 1\/13  (b) -2  (c) -266\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/16 and (-2 - (-1183)\/624)\/((-48)\/42).\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(2*-2*sqrt(637) + (sqrt(637) - (3 + sqrt(637)*2)) - ((sqrt(637) - (-6*sqrt(637)*-1 + sqrt(637))) + 1))**2.\nAnswer: -3918 + 336*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -48 - -146. Let m = -97 + d. Is m not equal to 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11 + 17 + 2)*(-2*d**3 + 3*d**3 + 0*d**3)*(-103*d**2 - 172*d**2 + 107*d**2).\nAnswer: -5040*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/((6\/(-3))\/((-12)\/(-6))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1969 + 3728. What are the prime factors of d?\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*q, -6 = -26*r + 23*r + 3*q. Suppose -2*d - s - 2 = -r*d, 4*s - 37 = -5*d. Solve 5 = -d*m + 15 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 13812, 27627, 41442, 55257, 69072, 82887?\n\"Answer: 13815*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -46, -65, -80, -91?\n\"Answer: 2*k**2 - 25*k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*y + 7*y - 3*y)*(-y**3 - y**3 + 3*y**3) + (y - y - y**3)*(2 - y - 2) as o*y**2 + c*y + f*y**3 + b*y**4 + x and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 49*w - 915. Give y(18).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 13 + -9 + (-1)\/1. Let d(z) be the third derivative of 0*z - 2*z**2 - 1\/2*z**r + 1\/24*z**4 + 0. Differentiate d(x) with respect to x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*s**3 + 1711*s + 1138*s - 1949*s.\nAnswer: -4*s*(s - 15)*(s + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 230.3 - 229.85. Sort 2, 4, -4, 3\/8, f.\nAnswer: -4, 3\/8, f, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3)\/((-9)\/(-2))*-12. Let q be (1344\/(-54))\/(-16) - (-5)\/1. Are n and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -93 - -63 - 7204\/(-240).\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.13 and 206208.\nAnswer: -26807.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -8.6 and 8.25?\nAnswer: -70.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 9 = -3*t. Find the third derivative of -5*v**4 + 4*v**t + 6*v**2 - 6*v**3 + 2*v**3 wrt v.\nAnswer: -120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 3 h when four letters picked without replacement from jmjhjjhyjhjjjgmh?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 449956 - 0?\nAnswer: 449956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 - h**2. Let q(f) = -3*f**3 - 3*f**2 + 2. Let m be -16*(2\/(-3))\/(8\/6). Suppose -9 = m*u - 1. Determine u*q(l) + 2*o(l).\nAnswer: l**3 + l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**2 - 379420*w - 35989884100.\nAnswer: -(w + 189710)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 - -14. Let l(q) = -29 + 5 + 16 + 7. Let h(a) = 2*a + 4. What is f*l(v) + h(v)?\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 334 = -3*w + 2*w, -2*s = -2*w + 220. Let k = 155 + s. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6873, 5, -13 in decreasing order.\nAnswer: 6873, 5, -13","meta":{"dup_signals":{},"source":"comparison__sort_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: Let i(w) = -w**2 + w. Let c(t) = 6*t**2 + 7*t + 7. Let z(d) = c(d) + 5*i(d). Let f be z(-12). Find the second derivative of -5*u - 11*u**5 - f*u + 6*u wrt u.\nAnswer: -220*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 7*p**2 - 35*p + 1. List the prime factors of q(-18).\nAnswer: 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 15) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 359 and -272725113.23?\nAnswer: 272725472.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c - 9. Let z be j(11). Solve 2*q - 4*a + 0*a + 10 = 0, -35 = -z*q - 5*a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*k**2 - 2*k**2 - 1 - 9*k**2 in the form v + o*k + r*k**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*v + 0*v + 5*v + (-2 + 3 - 2)*(v - v - 2*v) - 2*v + 0 + 0 + 7*v - 2*v - 3*v + (4 - 2 - 3)*(5*v - 2*v - v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -592 - -597. Suppose 0 = -2*v - 4*x + 2, -4*v - r*x + 8 = -x. Solve -6 = -v*y + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -514 + 509. What is the second smallest value in -2\/15, -3, 3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**2 + 13*g - 27. Let v be a(8). Let u = -171\/13 + v. Are u and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2244 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2793\/56824 or -1?\nAnswer: 2793\/56824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/11, -1\/22, 3, 2, 1529, -1.2, -2?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 36916*o. Let r(h) = -2*h + 135. Give v(r(z)).\nAnswer: -73832*z + 4983660","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2212 (base 5) in base 11?\nAnswer: 25a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8692976 or 8692979?\nAnswer: 8692976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -27583*g**3 + 7*g + 17. Let w be f(-9). Let o = w - 9497961. What is o rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16005 and 660.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + 5 = 5*h + 3*v, 0 = 2*h + 2*v - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 5*u**2 + 880 - 8*u**2 - 6*u + 3*u**3 - 879. Give p(4).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 5 - 2)*(-36*d - 3 - 11 + 5) in the form z + q*d and give z.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the first derivative of m**9\/432 + m**5\/60 + m**3 + 9. Let t(s) be the third derivative of w(s). Find the second derivative of t(d) wrt d.\nAnswer: 140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1*(-2 - -4) + 1. Let z = v - -12. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 303 + -176. Let f = k + -69. Does 20 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12332 divided by -3083?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the third derivative of k**8\/84 - 20*k**7\/7 + 2151*k**6\/10 - 4140*k**5 + 28566*k**4 + 3*k**2 + 15*k - 14. Solve p(a) = 0.\nAnswer: 0, 6, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -11*p + 3. Let s = -8 - -5. Does 12 divide a(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -118*z**3 + 2*z**2. Let t(x) = 118*x**3 - 3*x**2. Determine -6*o(b) - 4*t(b).\nAnswer: 236*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -15, -47, -101, -177, -275, -395?\n\"Answer: -11*c**2 + c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1527 take away 5?\nAnswer: 1522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 divided by 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -2*r - 7. Let f be y(-5). Let h(s) = -s**3 + s**2 + 3*s + 4. Let u be h(f). Let a = -4 - u. Solve 3*v - a = -4*w - 10, -w - 6 = -3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22761077 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 18\/(-4)*(-1)\/30. Let j = -149 + 77. Let k = 71 + j. Is w > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the first derivative of v**4\/6 + 2*v + 1. Let r(b) be the first derivative of y(b). Let j(u) = -6*u**2 + 5*u**2 + 2*u**2. What is r(j(t))?\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 + 6. Let l = -1 - -1. Suppose -4*n - 8 = -2*n + 4*z, 3*n - 32 = 5*z. What is the nearest to c in n, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1026610, 1026604, 1026598, 1026592, 1026586, 1026580?\n\"Answer: -6*f + 1026616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 437*g**3 + 8*g + 434*g**3 - 870*g**3.\nAnswer: g**3 + 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/7 less than -673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i + 44 - 14, -42690 = -4*o - i. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102180?\nAnswer: 2, 3, 5, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16848*s + 16862*s + 14 = 0. Which is smaller: -3\/3404 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 257126?\nAnswer: 2, 128563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-7)\/(-3) + (-66)\/(-99) - -5. Solve -l*c + 20 = -12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -24*o**4 - 5*o**4 + 55 - o + 33*o**4 as z*o + l*o**3 + q + b*o**4 + u*o**2 and give q.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1*(-4 + 1)*1. Let j = 15 - 27. Let z be ((-1)\/(-4))\/(j\/(-240)). Solve c*n - z = -i - 2*n, 5*i - 3*n = 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k = 3*r + 1, 3*r - 5*r = -3*k - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -149 + 403 - 14*a - 157.\nAnswer: -14*a + 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3.7, 308\/13, -0.041?\nAnswer: 308\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from {q: 1, k: 2, r: 2, a: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 + 3. Let s(x) = -w*x**2 - 4*x**2 + 4*x**2 + 2*x**2 + x**3. Give s(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the third derivative of -1\/36*c**3 + 7*c**2 + 0 + 1\/360*c**5 - 1\/720*c**6 + 1\/144*c**4 + 0*c. Solve y(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 191 and 307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -321*j + 86. Let g be d(15). Let y = -3070 - g. Does 71 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -79*x + 1. Let o be i(-1). Let j be 2\/6 - o\/105. Let q = 1\/29 + -33\/116. Which is the closest to 0?  (a) q  (b) -0.1  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8222004 or -8222009?\nAnswer: -8222009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**3 - 28*p**2 + 156*p + 227. Is j(-64) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -29852, -29595, -29372, -29183, -29028, -28907?\n\"Answer: -17*h**2 + 308*h - 30143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m + 61*d - 62*d + 9 = 0, 0 = -28*m + 32*m + 3*d - 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7801129 is divided by 5395.\nAnswer: 5354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -3*(-4 + (4*2*sqrt(102)*1)\/(4*(sqrt(54)\/(sqrt(9) + -2*sqrt(9)) - sqrt(6)))).\nAnswer: 3*sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6961 + -7143.96. Round r to the nearest integer.\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-1 - -13 - 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 119.1 - 127. Let q = -7 + -1. Let r = q - y. Sort r, -1, 3 in ascending order.\nAnswer: -1, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 752924853 to the power of 1\/2, to the nearest integer?\nAnswer: 27439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 10 + 40. Which is smaller: h or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-4)\/1)\/(-1) + 16\/16. Solve -5*p = n*f - 10, -4*p = -3*p + 5*f - 14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 925.9908 millilitres in litres?\nAnswer: 0.9259908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**3 - 2*k**2 - 3*k - 32. Let d be u(0). Let w(x) = -x**2 - 35*x - 96. Let q be w(d). Sort -1, q, -12 in decreasing order.\nAnswer: q, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.51083 kilometers in micrometers?\nAnswer: 7510830000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 743 divide 296789121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -6*k + 1. Let h(a) = 12*a - 3. Let v(r) = 2*h(r) + 5*z(r). Let f = -2 - -4. Suppose 3 = f*y + 5. What is v(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 16 = 3*x, 4*x = 2*i - 19272. Let o = -1802 + -32142. Let b = i + o. Round b to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 403, 3215, 10851, 25723, 50243, 86823, 137875, 205811?\nAnswer: 293043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 - 23*s + 14. Let z be a(-5). Suppose z*o = 295 - 31. Suppose -2*t + 37 + 29 = 0. Calculate the highest common divisor of o and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1923, -1897, -1761, -1461, -943, -153?\n\"Answer: 9*b**3 + b**2 - 40*b - 1893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 41 in 5, 3, 2.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - u = 11, 3*u = 2*o + o - 6. Let -12 - p**o + 0*p + 3*p**3 - p - 13*p = 0. Calculate p.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(20) - ((sqrt(100) - (sqrt(100) + -4*sqrt(100))) + sqrt(100))\/sqrt(5))*-6)\/(-4*(sqrt(10) + sqrt(60)\/sqrt(6))*-5).\nAnswer: 3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -257643654*w - 257643669*w + 515287324*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -4933, -4932, -4931, -4930, -4929, -4928?\n\"Answer: f - 4934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 11 - ((-78)\/12 - -13). Which is the second biggest value?  (a) 7  (b) y  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4368002 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12*(-49)\/(-294))\/(0 + -1 - (-1)\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (10*m**3 + 1846*m**2 - 926*m**2 - 919*m**2)*(2 + 2 - 1) as j + v*m**3 + t*m + a*m**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + f + 410 = -f, 4*f = -4. Let w be 2\/(-11) - y\/(-33). Suppose -4*r + 2*q = w, -5*r - q + 30 = 4*q. Solve 6 = -d + r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 133, -2171, -6017, -11411, -18359, -26867, -36941, -48587?\nAnswer: -61811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -4*w, c + 0*w - 4*w - 6 = 0. What is the smallest common multiple of c and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*s - 57*s = 4*v - 172*s + 58*s + 46, -v = -s - 61 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13794 + -13722. Solve 22*w = -14*w - j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n + 3*w + 4742 - 1123, 2698 = 3*n + w. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33469876080 + -0.06?\nAnswer: 33469876079.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*d + 63*y = 58*y - 26, -5 = 337*y - 343*y + 43 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6\/(-5))\/((-57)\/20140). Suppose y = 2*f - v, -4*v + 0*v = 2*f - 414. List the prime factors of f.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11001 (base 3) in base 2?\nAnswer: -1101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -17*i + 531. Let u be z(30). Solve -o - 4 = 5*w, -3*w - u*o + 16 = -25*o for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Suppose 3*j = 3*t - 42, j = -3*t + 6*j + 34. Is (-162)\/(-4)*t\/27 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/4*(-2 + (-8 - -2)). Suppose 0*u - 30 = -3*u + 2*m, -4*u + 40 = -r*m. Suppose 2*l + 2*s - 188 = 4*s, 2*s - u = 0. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2320.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from {d: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -9838, -9844, -9854, -9868, -9886?\n\"Answer: -2*l**2 - 9836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -10*l. Let w(m) = -2. Let n(u) = 2*u - 4. Let t(c) = 2*n(c) - 4*w(c). Give t(x(y)).\nAnswer: -40*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**3 - 6*s**2 - 6*s - 1. Let z be l(-6). Suppose x - 31 = 3*v, 5*v - 3*v = x - z. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 105984 and 58880?\nAnswer: 529920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 220 = -82. Suppose -h - 3*b + 21 = 0, h - 2*b = -4*h + 88. What is the remainder when x is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 835526609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {d: 2, o: 1, f: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000027555 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7593 + 3796 + 3799 + 500*c**3 - c**3 - c**3 + 7*c**3 + (-2 + 2 - 2*c)*(-2 + 2 - c**2).\nAnswer: 507*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes after 4:18 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 + (-1 + 1 + -2 - (-131 + 127))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -920476, 71, 3 in ascending order.\nAnswer: -920476, 3, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -2.90902+-16\nAnswer: -18.90902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5819*a + 1231*a - 2129*a + 3 - 3 to i + h*a and give h.\nAnswer: -6717","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 12*v + 8. Suppose -6*p + 3*p + 6 = 0. Is 32 a factor of l(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 + -5. Solve 2*v - 4*o - 12 = 0, -s*o = -3*o - 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 5 = 5*k, -24*k - 7 = -22*k + z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 596 divide 9302964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-5360)\/64 - (46\/(-24) + 47\/282)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4.6, -0.08, 5 in ascending order.\nAnswer: -4.6, -0.08, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 792 (base 13) in base 12?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.03739 + 0.052. Round d to four dps.\nAnswer: 0.0146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -179*s**2 + 5*s**2 + 300*s**2.\nAnswer: 126*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 48.8701396 and 7.9?\nAnswer: 40.9701396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o - 24 = 4*z, -1859*o + 1857*o - 5*z = 30 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that 0 - 2*u**3 + 48\/5*u**2 + 0*u - 2\/5*u**4 = 0.\nAnswer: -8, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6062 - 2917. Let x = 62853\/20 - d. Find the common denominator of x and 1 + 2 + (244\/(-64) - -4).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*t**3 - t**2 + 6*t**3 - 3*t**3.\nAnswer: -6*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 0 - 4)*(3*n**3 - 2*n**3 - 3*n**3)*(-1 - n + 1) in the form m*n**3 + s*n**4 + o*n + j + r*n**2 and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 284 (base 13) to base 6.\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*z**2 + 14 + 4*z**2 + 0*z**2 - 7 to the form s + j*z + m*z**2 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/(210\/147) + 14\/(-3) + -2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**3 + 15*a**2 - 64*a + 1665. Let g be z(17). Put -2, 0, g, -45, 3 in descending order.\nAnswer: 3, 0, g, -2, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/28 + (60\/8)\/15.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (252\/(-96))\/(-7)*94\/(-12). Let r = 20051773\/48 + -417763. Let v = f + r. What is the common denominator of v and 163\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 50 + -46. Suppose i + x*i = 100. What is the remainder when 77 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 3, q: 4}. What is prob of picking 3 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 8, d: 4, i: 4}. Give prob of picking 2 d and 2 f.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 32703 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2466 divided by 6.\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 0*a + 0 + 2 - 6*a + a**2. Let i = -22 + 28. Let z be g(i). Solve -h - 12 = -3*u + z*h, u + h + 4 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.07 - -1.13. Let w = -1.5 + f. Which is the third smallest value?  (a) w  (b) 0.3  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -505*k**6 + 2*k**2 - 129*k.\nAnswer: -60600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -36*o**2 + 294*o - 41. Let s be d(8). Let z be 2*(2 - (-23)\/2). Let w = z + s. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -120?  (a) 1.5  (b) -8  (c) -1\/2  (d) -2\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -49 - (43 + -83 + -23)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 0 + -6 + (14 - (7 - 6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1170 and 908310?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the third derivative of -q**6\/180 - q**5\/3 - 25*q**4\/3 - 1000*q**3\/9 + 157*q**2. Factor d(s).\nAnswer: -2*(s + 10)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f**2\/3 + 171717484*f\/3 = 0 for f.\nAnswer: -85858742, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 6*y + 16. Let b(g) = -2*g**2 - 2*g - 2. Let w be b(0). Let i be x(w). What is the greatest common divisor of 32 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (112 + 36 + 73 - 27)*(61*p - 12*p**2 - 61*p)*(-4 + 0 + 1) as k + i*p + g*p**2 and give g.\nAnswer: 6984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1574529979 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -0.053354, -2\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3865 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 121\/3 + -578\/15. Let p = 37 + -37. Solve 9\/5*i**2 + p - 3\/5*i + 3\/5*i**3 - v*i**4 = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2909975664?\nAnswer: 2, 3, 2789, 21737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1 - -2 - (-11)\/(121\/(-17))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (43*z - 17*z - 104*z)*(-2 - z**2 + 2) to g*z**2 + b + p*z**3 + m*z and give p.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 41*y**2. Let x(l) = 14*l**2. Calculate x(v(u)).\nAnswer: 23534*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 88*i - 23*i - 20 + 124*i - 36. Let w(y) = -10*y + 3. What is -3*v(n) - 56*w(n)?\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -1122*k**2 - 7*k - 6. Let a(y) = -2244*y**2 - 13*y - 11. Give 6*a(l) - 11*n(l).\nAnswer: -1122*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * -13\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14 + 16 + 26 + 18 + 2757*z - 74.\nAnswer: 2757*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, r: 1, b: 2, t: 4, m: 1}. Give prob of picking 1 f, 2 t, and 1 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + j = 0. Let l = j - -27. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33375 (base 9) in base 11?\nAnswer: 15735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**3 + 21*r**2 - 12*r + 73. Let c be a(11). Which is smaller: c or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3197*d**3 - 10084*d**2 - 7242596*d - 13.\nAnswer: -19182*d - 20168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*1*sqrt(576))\/(sqrt(15)\/(sqrt(5) - (sqrt(5) - -3*(sqrt(5) - sqrt(5)*2)))).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes after 12:52 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*(a*a**6*a)\/a)**49\/(a*a\/((a*a**(-26)\/a*a)\/a)*a*a\/a**(-1\/10)) assuming a is positive.\nAnswer: a**(3619\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -4 * 0.0305\nAnswer: -0.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1134\/(-48) - (-29 + 16) and -77\/38?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 58 - 24. Let l = h + -37. Let y be -13*(l\/(-1) + -4). Calculate the highest common factor of 78 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -45048*m*n + 64*n - 1 wrt m?\nAnswer: -45048*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -690 + 690. Put -8, -2, k in decreasing order.\nAnswer: k, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4 - -4)\/(-2 + 6 + -5). Solve l = -5*g - 4*x + 2*x + 21, -3*g + 5*x + 25 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*g + 5*g - 2*g)*(-3*g + 3*g - 2*g)*(12 - 7 + 21) to j*g + a + b*g**2 and give b.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -m**4\/2 - 197*m**3\/10 + 98*m**2 - 698*m\/5 + 264\/5 = 0.\nAnswer: -44, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 75137 + -75135. Factor 2\/3*b - 1\/3*b**l + 1.\nAnswer: -(b - 3)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.6, -0.4, -1.3, -2\/3.\nAnswer: -1.3, -2\/3, -0.4, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -4  (b) 29281  (c) -1\/9  (d) 2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 74*n - 44. What is g(0)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 44 - 42. Suppose 5*j - 65 = -5*h, 5*j - 27 + 4 = -k*h. Suppose h - 24 = -d. Solve 0*n + d = -2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 15\/2704 and -21\/38144?\nAnswer: 6446336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 32, -3, 6, 1, -105, -1 in ascending order.\nAnswer: -105, -3, -1, 1, 3, 6, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -837 by 279.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 11 + 105807?\nAnswer: 105818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*d**3*t**3 - 2*d**3*t**2 - 2*d**3*t*w - 5*d**3*w + 20881*d**2*t**3 + d*t**3*w - 77*d*t**2*w + 11*d*w wrt t?\nAnswer: 12*d**3 + 125286*d**2 + 6*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 - 21. Let v = j + -1. Let b = v + 14. Sort -4, b, 5.\nAnswer: -4, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -455, -458, -463, -470, -479, -490?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 7001, 10479, 16277, 24395, 34833, 47591, 62669?\n\"Answer: 1160*c**2 - 2*c + 5843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 183.7 * -112.54\nAnswer: -20673.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -122 + 816 = -1538*u - 404 - 440 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*g + 5*g - 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 194*b**2 + 1. Let m be f(-3). Suppose 5*z + 2 - m = 0. Let p = -188 + z. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42205 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 - 10. Let x = -444 + 446. What is the nearest to x in -2, 1\/5, z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -223, -222, -223, -226?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*r + 10*r + 0*r)*(0*r + r**3 - 3*r**3 - 2*r).\nAnswer: -52*r**4 - 52*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 - 2 + 3*l - 6*l**2 + 0 + 28*l**2 + 3*l**3 - l**2 in the form j*l**3 + k*l**2 + w*l + v and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y**3\/9 + 1928*y**2\/9 - 177800*y\/9 + 480000 = 0. What is y?\nAnswer: 50, 864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 - 2)*(0*c**2 + 2*c**2 + 0*c**2) + 15*c**2 - 5*c**2 + 4*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 183*i + 18. Let k be (1 - -7) + 20\/(-4). What are the prime factors of b(k)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 24*z**2 - 865*z + 36. Let q be l(36). Let k(w) = w + 2. Let o be k(2). Sort -11, 5, q, o in ascending order.\nAnswer: -11, q, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 93, 179, 285, 405, 533, 663?\nAnswer: 789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14.9 - 8.1. Let i = n - 7. Which is the third smallest value?  (a) 5  (b) i  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 less than 84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1060793 and 533.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -225*h**2 - 229*h**2 + 685*h**2 + 10*h**3 - 231*h**2.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j\/j**2)*j)\/(j**0\/j)*(j*(j**(-1\/4)\/j)\/j)**7 assuming j is positive.\nAnswer: j**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6365, -8, -5.\nAnswer: -6365, -8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 34024, 136082, 306182, 544330, 850532?\n\"Answer: j**3 + 34015*j**2 + 6*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*i**6 + 4*i**5 + 4*i**2 - i wrt i.\nAnswer: 960*i**3 + 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2726, 2694, 2606, 2438, 2166, 1766, 1214, 486?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 135973*i**3*x**3 - 389*i**3*x + 79*i**3 + x**4 wrt x.\nAnswer: 815838*i**3*x + 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -8\/712887 and 71\/712887?\nAnswer: 712887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - (-6 + -3 + 20 - 40)) + 8\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -40251066 + -7231374. Let g = u - -47482435.99999928. Let z = -4 - g. Round z to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3124 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 - 2 + 5)*(-165*m**2 - 150*m**2 + 518*m**2 - 3*m) as y*m**2 + f*m + h and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m + 1 - 1)*((-2 + 7 - 3)*(5*m - 4*m + 0*m) + 3 - 3 - m + (3 + 0 - 2)*(-2 + 2 - m) + m + m - 4*m - m - m + 0*m + 2*m - m + 0*m - 14*m - 10*m + 13*m).\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 - 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -60983*s. Let r(u) = -2*u. What is r(f(g))?\nAnswer: 121966*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -13321560, -26643151, -39964742, -53286333, -66607924?\n\"Answer: -13321591*h + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-10)\/(-125)*(-930)\/(-48) and 97\/58.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5898 or -1.28?\nAnswer: -5898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1763834)\/(-14)*2*7*(-10)\/(-20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -2*v**2 + 3*v - 32. Let s(b) = -143*b. Determine s(z(f)).\nAnswer: 286*f**2 - 429*f + 4576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 2, -15887 in descending order.\nAnswer: 2, 0, -15887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-3)\/(-2))\/((-6)\/(-80)). Let m = a - 11. Suppose v - 5*r = 7, 5*v + 0*r = -r + m. Is v bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 4 + (0 + 4 - 2)*(-2 + 4 + 0) + (3 - 2 + 0)*(0 + 3 - 1))*(49 - 32 - 49)*(c + 0*c + 0*c)*(-12*c**2 + 58*c - 58*c).\nAnswer: 3072*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**3 + 11*k**2 - 5*k - 18. Let x be t(10). Suppose 0 = -8*y - 178 + 806 + 2316. What is the highest common factor of y and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22231 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, r: 6, g: 4}. What is prob of sequence rgm?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h - 3. Let g(v) = -1240*v + 279. Give g(x) + 93*s(x).\nAnswer: -1333*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20 - 8*w**2 - 59*w**2 - 49*w**2 - 71 + 51.\nAnswer: -116*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 154 + 394*z - 269 - 4751*z + 115 to d + n*z and give n.\nAnswer: -4357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 680 and 30260.\nAnswer: 60520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 290 + 3*k - 152 + 371 in the form l + o*k and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 206*f**3\/3 + 18028*f**2\/3 + 8944*f = 0 for f.\nAnswer: -86, -156\/103, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the third derivative of -c**8\/560 - c**6\/360 + c**3\/6 - 4*c**2. Let y(h) be the first derivative of l(h). Find the third derivative of y(r) wrt r.\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -84.055 - -84. Let n = 0.055 + l. Let h = 0.4 - 3.4. Which is the closest to n?  (a) 1\/5  (b) 0.5  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.4 + -2.6. Let x = -0.2 + 0.2. Which is the third biggest value?  (a) j  (b) x  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*p**2 + 3802088*p - 22812672 = 0. Calculate p.\nAnswer: -950528, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8830*y - 15 = -8833*y. Solve 0 = -3*r - 5*i - 2, y*r - 7 = i - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**2 + 20*l - 31. Determine m(-18).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27851, 55712, 83573?\nAnswer: 111434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence op when two letters picked without replacement from {p: 1, o: 1, c: 1, k: 2, a: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 61.92 - 62. Suppose -j + 24 = 2*j. Suppose 3*z + 3*l - j = z, 0 = -3*l. What is the second biggest value in -5, z, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -9588, -73907, -247656, -585549, -1142300?\n\"Answer: -9119*g**3 - g**2 - 483*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the second derivative of -p**5\/5 + p**4\/12 + p**3\/2 + p**2 - p. Suppose 11*t - 4*t = -14. What is the units digit of y(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -691083, -691082, -691081, -691074, -691055, -691018, -690957?\nAnswer: -690866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ixm when three letters picked without replacement from xxitimjiijxttiji.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 262621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l. Let j(p) = -217*p**2 - 3*p + 3. Let b(m) = -652*m**2 - 8*m + 8. Let h be (-25)\/(-10) + (3 - 15\/6). Let o(w) = h*b(w) - 8*j(w). What is o(s(n))?\nAnswer: -220*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 15  (b) 0  (c) -26  (d) 0.02  (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = 3*f - d + 20, -f + 2*d - 5 = 0. Let p = 8 + f. What is the least common multiple of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 425495 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k - 18. Let q(w) = 35 - 11*w + 23*w - 2*w - 7*w - 4*w. What is -3*q(a) - 5*v(a)?\nAnswer: -2*a - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) -2  (c) -228\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 265336786 divided by -23353?\nAnswer: -11362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (8 + -14 + 1 - (-2 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -8, 6*v - 10 = 2*a + v. Suppose -l + 612 = -4*g, a*l = -5*l - 3*g + 3152. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5 - 14\/((-112)\/(-120)). Put u, 1, -1 in ascending order.\nAnswer: u, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -16*w**2 + 5*w. Let z(a) be the third derivative of -22*a**5\/15 + 7*a**4\/6 - 11*a**2. Suppose 0 = -61*x + 60 - 365. Give x*z(y) + 28*f(y).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g + 2*g - 8 = 4*v, v + 26 = -5*g. Let s = g + 19. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 7\/77 + 520\/1980. Is 1 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -2*i + 36. Let l be y(20). What is the tens digit of l\/(-2)*(17 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is f in 62*f**5 + 134410*f**4 - 147734*f**3 - 524626*f**2 + 589944*f - 52056 = 0?\nAnswer: -2169, -2, 3\/31, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 103489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -10, b + 2266 = -b - 4*h. Let v = -136 - b. Suppose 2*d = -d - 3*s + v, -5*s = 3*d - 987. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67238 (base 11) in base 15?\nAnswer: 1dd16","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -2*z - 3. Let f be q(-4). Suppose x = 3*x + 5*r + 7, -3 = 3*x + f*r. Solve 2*m - x*l + 5 = -m, l = -3*m + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -4*i. Let f be x(1). Let b(a) = 6*a + 16. Let t(n) = -5*n - 1. Let h(o) = -2*o. Let g(y) = 7*h(y) - 3*t(y). Calculate f*b(l) + 22*g(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/5  (b) -1  (c) -0.2  (d) -21  (e) -47  (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 362.5051l to millilitres.\nAnswer: 362505.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 + 2. Suppose -4*a + 108 = -s*a. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11 is divided by ((-8)\/10)\/(2\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5548, 11079, 16620, 22177, 27756?\nAnswer: 33363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the second derivative of -1\/60*c**4 + 0*c**3 - 1\/300*c**6 - 3\/2*c**2 + 0 + 1\/75*c**5 - c. Let p(f) be the first derivative of b(f). Factor p(h).\nAnswer: -2*h*(h - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -505.5 + 627. Let w = 121 - g. Which is the second smallest value?  (a) 3\/2  (b) w  (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4719 take away 1301.41432?\nAnswer: -6020.41432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 2*k**2 - k - 1. Let i(m) = -9*m**2 + 4*m + 3. Let s(v) = -5*h(v) - i(v). Give s(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from dtddtdtttttttt?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the first derivative of 55*q**2\/2 + 1. Let g(d) = 5*d. Suppose 2*f - 6*f = 24. Let k(n) = f*x(n) + 65*g(n). Let h(i) = -i. What is h(k(u))?\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -637\/23 or -28?\nAnswer: -637\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j + 140 = -16. Calculate the greatest common divisor of j and 442.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 2*r**2. Let s(c) = 11*c**2 + 17*c. Let l(o) = -2*o**2 - 3*o. Let y(a) = 34*l(a) + 6*s(a). Determine u(y(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 852042 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -2*n. Let g = 7673383\/210 + -513375\/14. Let b = 389\/3 + g. Which is bigger: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(147) + -2 + 1*sqrt(147) + sqrt(147)*3 + -4 + sqrt(147) + sqrt(147))**2 + 3.\nAnswer: -588*sqrt(3) + 7241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*a**3*p**3 - 2*a**3*p - a*p**3 - 22*a*p + 3*p**2 + p wrt p.\nAnswer: -36*a**3*p - 6*a*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1032\/(-215)*(-20)\/(-12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k + 3 - 1. Suppose -k*h + 823211 + 216881 = 0. Let c = -160046 + h. Round c to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1411*b**2 - 2826*b**2 + 1414*b**2 + 24*b + (-2*b + b + 2*b)*(0*b - b + 0*b).\nAnswer: -2*b**2 + 24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0  (b) -0.5  (c) -2\/3  (d) -12\/7  (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 85345*-0.0926.\nAnswer: -7902.947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -204 or -184?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 54252 and 11422512.\nAnswer: 4932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 10 = 4. Let w(j) = -j + 1. Let r be w(-4). Solve r = k*h - h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**3 - 9*w**2 + 8*w + 2. Let b be (3\/2)\/((-3)\/(-16)). Let t be a(b). Suppose 0 = y - 3*y + t. What is the highest common factor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.048 or -33?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 63\/20 and 39\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cccccvvcevcydcv. Give prob of sequence yce.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -o**2*v**3 + o**2*v + 352*o*v**2 + 279*v**3 + 1 wrt v.\nAnswer: -6*o**2 + 1674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 5 + -2 - (-28 - -24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -19  (b) 4  (c) -59  (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 6*y**3 + 4*y**2 - 7*y + 11. Let w(a) = -7*a**3 - 5*a**2 + 8*a - 13. Let s(v) = 6*q(v) + 5*w(v). Give s(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 25, 47, 63, 73, 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/((-81)\/(-102)) + (6 - 2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -880 - -830 - (-6 + -1)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 4, u: 14}. Give prob of sequence ccuu.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7782, -7776, -7760, -7728, -7674?\nAnswer: -7592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.2 and 122.\nAnswer: -146.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 3854 = 7*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 12*z**2. Let h(o) = o**2 - 7201796*o. Calculate h(s(n)).\nAnswer: 144*n**4 - 86421552*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4810386 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3087*a + 9369*a + 5265*a - 389*a.\nAnswer: 11158*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.034 in -3.25, 8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 141.731532ns to days.\nAnswer: 0.00000000000164041125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwhwwwwwhwwhhwwhwww. Give prob of picking 4 w.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**3 - r**2 - 2*r + 1. Let z(t) = -191*t**3 - 423*t**2 + 4*t - 2. Let p(o) = -2*j(o) - z(o). What is the third derivative of p(s) wrt s?\nAnswer: 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*-2*((2 + (sqrt(700) + -1 + 1*sqrt(700) - ((sqrt(700) - ((sqrt(700) - sqrt(700)*3)*-5 - sqrt(700) - sqrt(700))) + sqrt(700))))*-4)**2.\nAnswer: -5734528 - 20480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -109922333, -109922326, -109922307, -109922270, -109922209, -109922118, -109921991, -109921822?\nAnswer: -109921605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 222055538 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 114 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -850, -1752, -2772, -3970, -5406, -7140?\n\"Answer: -10*v**3 + v**2 - 835*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.2 + 0.1. Let h = 0.044 + 0.256. Let r = 0.1 + -0.2. What is the nearest to w in h, -0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 + -10. Let v = 11 - q. Let s = 14.6 - v. Which is the nearest to -1?  (a) -4  (b) 0.3  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 263536 and 1144.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 8727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 5*h**2 - 3*h + 3. What is w(-4)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 - (-24 - (-19 - -13) - -21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*o + 32 = -63 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 604 is divided by 193?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that 2*g**5\/5 + 994*g**4\/5 + 7786*g**3\/5 - 18562*g**2\/5 + 1956*g = 0.\nAnswer: -489, -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, o: 1, b: 1}. Give prob of picking 1 o and 1 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -139923*t + 10575 - 251 = -140088*t - 2051 for t.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*d + 71 = -10*d - 4*f, 2*f + 95 = 5*d. Let w be (34\/(-6))\/(2\/(-6)). Is w < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -27.0800993 - -27.08. Round i to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 323448311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(2\/9))**(-4\/9)*m*m*m**(1\/4)*m**(-1\/8)*(m\/(m*m**1))**(-42)*(m*(m\/(m\/(m**(-3\/4)\/m*m*m))*m)\/m)\/m*m**3 assuming m is positive.\nAnswer: m**(30635\/648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -335141, 4 in descending order.\nAnswer: 4, -6, -335141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 8*k**2. Let s(p) be the third derivative of 11*p**4\/24 + 25*p**2 + p. Determine s(f(y)).\nAnswer: 88*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 63 = 5*c - 6, 0 = -5*c - 25. Let v be ((-17)\/2)\/(20\/k). Let n = v + 73\/20. Do 0 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18 and 20421.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1695*k**3 + 1577*k**3 - 2373*k**3.\nAnswer: -2491*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3194)\/(-4320)*3 - 6\/(-15). Let u = -17\/16 + q. Suppose 0*i - 2*i**3 - 4\/9*i**2 - u*i**4 + 0 = 0. What is i?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -68120 (base 11) to base 10\nAnswer: -98637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/18  (b) 99  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.5 in 2004, 5, -1, -3, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) 0.07  (b) -1\/7  (c) -3  (d) -1646\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*b - 4*b - 2*b + (-3*b + 5*b - 4*b)*(1 + 0 + 0))*(-2 - 3 + 1) to a*b + i and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 10\/3511?\nAnswer: 10\/3511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -144 - -324. Suppose -422*z = -428*z + n. Calculate the highest common divisor of z and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by 193?\nAnswer: 4\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -3990, -3959, -3942, -3945, -3974, -4035, -4134?\n\"Answer: -f**3 - f**2 + 41*f - 4029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*t**2 + 10*t**2 + 12*t**2 + (-2 - 1 + 2)*(0*t**2 - 2*t**2 + 0*t**2) + 4*t - 4*t + t**2 + 0*t**2 - 2*t**2 + 0*t**2)*(2*t**3 - t**3 - 3*t**3).\nAnswer: -28*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*d**2 + d**2 - 3*d**2.\nAnswer: -31*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -60 - -84. Suppose 0 = t + 3*t - i. Let u be (4\/t)\/((-6)\/(-63)). Solve u*x - 20 = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(280)\/sqrt(112) + sqrt(40))\/sqrt(2))\/((4*sqrt(100)*-5 - sqrt(100))\/sqrt(10)).\nAnswer: -5*sqrt(2)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.32, 3, 0, -2 in descending order.\nAnswer: 3, 0, -0.32, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -18bf24d - -4?\nAnswer: -18bf249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 14 + 8?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 8\/15 of a minute?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**3\/3 - 10*l**2\/3 - 24*l.\nAnswer: 2*l*(l - 9)*(l + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/36 + (-15)\/((-360)\/176)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 130 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.4 - 0.4. What is the nearest to r in 0.4, 2, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2*2 - 1) + -2. Let x be (-234)\/(-57) + (-30)\/285. Suppose 0 = 4*q - x*l, -2*l = -3 + z. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w + t + 4*t - 28807, 4*w - 5*t - 38386 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -22\/79641 and 143\/212376.\nAnswer: 637128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -4448, -5964, -7480, -8996, -10512, -12028?\n\"Answer: -1516*z - 2932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**3 + t**2 - 1. Let i(c) = -5*c**3 + 4*c**2 - c - 4. Give 4*d(b) - i(b).\nAnswer: b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (90\/(-27))\/(2\/(-3)). Suppose -293 = -3*l + 3*p + 2*p, h*l - 520 = 2*p. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in -2\/9, -2.6, -1\/47, 0.3, -99, -2\/11, -0.13?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1424 divided by 356.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1163821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -54\/5 + 57\/5*d**3 - 39*d**2 + 9\/5*d**4 + 183\/5*d = 0.\nAnswer: -9, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yymmyumyu. What is prob of picking 2 m and 1 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*b - 10*b - 375 = 0. What is the remainder when 673 is divided by b?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6.3 + 61.7. Which is the second biggest value?  (a) x  (b) -0.5  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(378)*5 + sqrt(42))\/(-2*sqrt(27)))\/(((-2*sqrt(32))\/sqrt(4))\/(sqrt(48)\/sqrt(192))).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 5*j - 96 = 0, -j + 19 = m - 14. Let g = m + 22. Suppose -3*r = -2*x - 8*r + g, 3*r = -4*x + 95. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -8.71909091 and 28227.\nAnswer: 28218.28090909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p. Let r(z) = -14*z**2 - 8*z - 44. Let a be 1\/(-3) - (-14)\/(-3). Let o(h) = -9*h**2 - 5*h - 29. Let g(d) = a*r(d) + 8*o(d). What is g(k(s))?\nAnswer: -2*s**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 900?  (a) 0.24  (b) 0.2  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.009 + -0.209. Which is the closest to 1?  (a) d  (b) 2  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 539\/49 + (0 + -11)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -8 - (-564)\/44 - 4\/(-22). Sort n, 3, -6, -5 in descending order.\nAnswer: n, 3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(3\/2)\/j**(-1\/3)*j**(-1\/12)\/(j\/(j*j**2\/j*j))*(j*j\/j**(-1\/3))**(-1\/2)\/(j**1\/j)**7 assuming j is positive.\nAnswer: j**(31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 + (2 - (-104)\/(-48)))*4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1253 + -3?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 287 + 151 + 281*g - 435.\nAnswer: 281*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(264))\/sqrt(12) - sqrt(110)\/(sqrt(5)*-2))\/(sqrt(256)\/(sqrt(16)\/sqrt(2))).\nAnswer: -3*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 = 21.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11664 and 2916?\nAnswer: 11664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-106*u - 23*u + 36*u)*(-59*u - 48*u + 32*u) in the form p + k*u**2 + a*u and give k.\nAnswer: 6975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(440)\/sqrt(90) + -2*(sqrt(44) + (sqrt(44) - sqrt(88)\/sqrt(2))))\/((sqrt(8)*-4)\/sqrt(2)*-6).\nAnswer: -5*sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 divided by -704?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4.46 + 4.38. Let x = -45 - -45.42. Let t = x - r. Which is the smallest value?  (a) 1  (b) -5  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -32*u**2 - 6*u. Let c be b(5). Let a = 5826\/7 + c. Factor -32\/7 - 2\/7*x**2 - a*x.\nAnswer: -2*(x + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 449237?\nAnswer: 41, 10957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1978)\/(6 - 49) + (-24 - -1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -22 - -4. Let a be (-7)\/(-3) + (-12)\/j. Let r be (2 - 4)\/(-3 + 2). Solve 4*v - 2 = 2*h, 0 = -5*h - r*v - a*v + 25 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 73*s - 78*s. Is (40\/(-10))\/(s\/2434) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/8)\/((-10)\/(-40)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-7)\/((m**(-1\/44)\/m)\/m) assuming m is positive.\nAnswer: m**(-219\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 270*a + 13 - 47 + 13 + 10 + 15 as c + h*a and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*f - 176 = 256. Let h(i) = i**2 - f*i - 300 - 2*i**2 + 278. What is h(-17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 250 + -523\/2. Let l = 12 + i. Let v = -0.1 + 0. What is the closest to v in l, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.7667669 rounded to three dps?\nAnswer: 2.767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - 13 - (2 - (-2 - (-5 + -12)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -27*z**3 - 15*z - 15. Let r = -94 - -79. Let u(l) = 4*l**3 + 2*l + 2. What is r*u(q) - 2*y(q)?\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1156.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 862 is divided by 808?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ubbo when four letters picked without replacement from oouubooubo.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**3\/13 + 262654*x**2\/13 + 8644495230*x\/13 + 1384963824258\/13.\nAnswer: 2*(x + 161)*(x + 65583)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70 + 11748*o - 5877*o - 5873*o.\nAnswer: -2*o + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -24*j + 503. What is i(21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -4*t + 2*t**2 - 7*t**2 + t**3 - 11 + 0*t**3. Let j = -122490 - -122496. Give a(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.5 - -4.5. Let v be ((-5699)\/(-7134) + 4\/116)*2. What is the closest to 1\/5 in 2\/7, l, v, 1\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 + 1)*(67*q**2 - q**2 + 57*q**2) - 3*q**2 + q - q as l + o*q + a*q**2 and give a.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -545445 + 1359197. Suppose 0 = -a - 3*c - 840003, 2*a + f + 866252 = -4*c. What is a rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2721 is divided by 134?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2480, -922, 638, 2200, 3764, 5330?\nAnswer: 6898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 93074 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 5, w: 3, i: 2, n: 5, g: 5}. What is prob of sequence wwg?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 171*o - 140*o - 198586. What is the thousands digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -17, 2, -24, -4, 68 in decreasing order.\nAnswer: 68, 2, -1, -4, -17, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*q - 34*q - 496 = 43 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 - 4042135243?\nAnswer: -4042135250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 18*i = 13*i + 14, 5*c + 13 = -2*i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**28*s*(s\/((s**26*s*s)\/s))\/s)\/(s**28*s*s*s)**(-30) assuming s is positive.\nAnswer: s**932","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 5*n - 6147 = 18, 3*j = 2*n + 3719. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*-6*sqrt(520))\/(sqrt(120)\/sqrt(12)*4))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 10.2+-134453\nAnswer: -134442.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -2097*g**2. Let o(w) = 101*w - 940. Calculate o(y(x)).\nAnswer: -211797*x**2 - 940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 650458044 to the nearest integer?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 839*j**3 - 13*j**2 + 18*j - 17. What is the hundreds digit of o(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*d - 5*q + 10, -11 + 41 = -5*d + q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (6 - 20) + (15 - -4) + -8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 33*s. Let u = 5 + -1. Let r be z(u). Suppose -5*h - 4*g + r = -2*g, -4*h - 4*g = -108. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.067, -1\/3, 3?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 4899, -288, -5475?\n\"Answer: -5187*r + 10086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10070 by -2.\nAnswer: 5035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 180*n - 10 - 1 - 429*n + 11 + 258*n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2\/13  (b) -1\/5  (c) 0.08  (d) 7\/6  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 73484 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: Calculate prob of sequence zo when two letters picked without replacement from zobbzzzbbzo.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -0.5, 0.11, 14 in increasing order.\nAnswer: -0.5, 0.11, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 129278440*i. Let f(h) = -h. Give f(a(x)).\nAnswer: -129278440*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*o**4\/5 - 1225956*o**3\/5 + 187918820442*o**2\/5 - 2930414886360*o + 57135818961000 = 0. What is o?\nAnswer: 39, 306450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 8*m + 185 = 5*o, 4*o + 3*m - 113 = 0. Let f = o - 30. Suppose 2*v = -0 + 8. What is the smallest common multiple of f and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -41 divided by -3\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 153 = -392. Let z = -93 - b. What is the greatest common divisor of 80 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72 = 311*m - 302*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 - 10 = 5*u. Let w be (-189)\/(-54) + u\/2*-3. Let f(m) = 6*m + 8 + m + m + 2*m**2 + w*m. Calculate f(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u + 78. Let d be j(26). Calculate the highest common divisor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**2 + 5*r - 2. Let k be a(4). Let b be (4\/6)\/(k\/6). Is 17 + b*(3 + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44521457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 251*i - 92*i - 156*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 239 and 6643961.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -0.00893 * -0.43526\nAnswer: 0.0038868718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w - 5*p = 10 - 2, -p = -5*w + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6130 - 8998 = -4*z. List the prime factors of z.\nAnswer: 2, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 547408 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -42 + 45. Suppose -4*w + 227985 = -3*q, 0*w - w + g*q = -56985. Round w to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes before 3:02 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, m: 1, e: 9, j: 2, f: 1}. Give prob of sequence mjj.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9211 and 755.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:56 AM and 7:17 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 167, 168, 167, 164?\n\"Answer: -j**2 + 4*j + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*v**3 + v**3 - v**3 + (-5*v**2 + 2*v**2 - 12*v**2)*(7 - 5 - 3 + 5*v))*(-22 + 0 + 0) to w*v**3 + a*v + o*v**2 + b and give o.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*r + 5*r + 4*a - 120 = 0, -11*a = 16*a for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-75)\/50*(-2)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 12:41 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15043 + 27910. Suppose -7*w = -202 - d. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 190 + 965 = -11*m. Let j = m + 112. Solve -4*s + 7 = -2*c + 7*c, -3*s = 2*c - j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**3 + 17*n**2 + 34*n + 22. What is g(19)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*h**3 + 24*h**3 + 13*h**3 + (1 + h - 1)*(7*h + 8*h**2 - 7*h).\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand s**5 + 3*s**5 - 3*s**5 + (0 + 0 + s)*(-13*s**4 + 263*s**2 - 263*s**2).\nAnswer: -12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/(-55))\/(4046\/31790).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-222)\/(-57) - 4 - (-464)\/76. Suppose -3*o = 2*u + i, -21*o - 7 = 3*u - 17*o. Solve -n = -2*n + 5*t - 19, 5*n - u*t + 29 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w. Let i(s) = -24*s - 2. Give x(i(u)).\nAnswer: 24*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 27 and 423.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3226 + -3349. Is m bigger than -122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 4) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2122 + 3?\nAnswer: 2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 + -395235a?\nAnswer: -3952361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes before 11:49 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**3 + 12*c**2 - 10*c + 6. Let k(m) = 8*m**3 - 3*m**2 - 4*m - 2. Let y be k(-1). Is z(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 506573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12416976 and 1716.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -15*w**3 + 5*w + 2*w**2 - 2*w + 12*w**3 in the form h*w + q + l*w**3 + n*w**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*r**5 + 3872*r**4 + 109976*r**3 - 16868*r**2 - 110010*r + 12996 = 0.\nAnswer: -57, -1, 2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (21 - -10) + (-10 - -13) + -7.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((1 - 3) + -11)*3. Let r be (2 - t\/(-21))*-1. What is the smallest value in r, -0.7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 72 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 326 = 3*v - h - 446, 2*v = 5*h + 506. Suppose v*n = 254*n + 1424. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 869591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 5139\/3 - (9 + -6). Let a = s - 781. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**3 + 2*o**2 + 21*o - 22. Let y be l(9). Let n = -398 - y. Solve 4 = t + n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-128)\/(-10))\/((-3)\/30). Let i = x - -235. Suppose 2*c - i = 67. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(133) - 6*(sqrt(133) - 1*sqrt(133)) - sqrt(133)))\/(sqrt(847) - -1*sqrt(847) - -4*sqrt(28)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 829923.5mg in kilograms?\nAnswer: 0.8299235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*w**4 + 120*w**3 + 580*w**2 - 1680*w.\nAnswer: 5*w*(w - 2)*(w + 12)*(w + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1145277072?\nAnswer: 2, 3, 7953313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1219 - 7923 = 8*p. Let m = p + 841. Factor -1\/4*o**m - 1\/4*o**2 + 1\/4 + 1\/4*o.\nAnswer: -(o - 1)*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3\/4  (b) -6593978  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + 5. Suppose 3*i = -2*v + 19, -2*v + 2*i = x*v - 57. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*x + 4*x**2 + 6*x - 3*x + 22*x to q*x**2 + w + k*x and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -7  (b) 3\/7  (c) -4  (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -11*k + 17. Determine f(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a - 7*a + 20. Calculate the highest common factor of a and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.152405439 rounded to 4 dps?\nAnswer: -0.1524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1120 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l - 54 = 78. Suppose -3*a + 410 = 2*a. Suppose -a + l = -10*m. Is 6 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 6*f = h - 191, -191 = -h + 4*f. List the prime factors of h.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*k**2*l**2*u + 556*k**2*l*u + 6*k + 58*l**2*u wrt k.\nAnswer: -4*l**2*u + 1112*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 5465 times 0.5\nAnswer: 2732.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-140)\/60)\/((-1)\/15*-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -o**2*z**3 - 345*o**2*z**2 + 126548*o**2*z + 6*o**2 + 505*z**3 wrt z.\nAnswer: -6*o**2*z - 690*o**2 + 3030*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 375 - 193. Suppose 127 = 2*i + i - 4*f, 164 = 4*i - 4*f. Calculate the remainder when k is divided by i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 170 - 170.15. Let l = -445.92480012 - -445.7748. Let p = l - z. Round p to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 5 = p. Let f be p*-1*8\/5. Suppose -3 = 3*h - 3*r, r = -3*h + 3*r - 2. Solve h = 3*w - f - 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1734843684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:59 AM and 12:22 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13838, -13834, -13826, -13814?\nAnswer: -13798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n - 18 = -n. Suppose 4*h - 58 = -n. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the second derivative of 19*m**7\/42 - m**6\/30 + 3*m**4\/4 + 11*m**3\/6 - 399*m**2\/2 + 397*m + 11. What is the second derivative of g(z) wrt z?\nAnswer: 380*z**3 - 12*z**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2bc23 (base 14) to base 7.\nAnswer: -633643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the first derivative of -q**3\/3 - q**2 + 2. Let z be t(-5). What is the units digit of 4\/10 - 84\/z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 580, 9809, 19038, 28267, 37496, 46725?\n\"Answer: 9229*p - 8649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9670400213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2373*c**3 + 76*c - 146*c + 70*c - 2380*c**3.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 117*u**2 + 75. Let t(r) = -350*r**2 - 226. Let i(q) = 5*t(q) + 16*v(q). Differentiate i(c) with respect to c.\nAnswer: 244*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/4, -0.1, -1.7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d - 1 + 15 = 8*a, -3*a = 5*d - 11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 27 + -23. Suppose -y = 4*t - 0*y + 5, 0 = -g*t - 2*y - 10. Suppose -3*c + 7*c = -w + 2171, t = c + 4*w - 539. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 2)*(26617*x - 319*x**4 - 26617*x)*(6*x - 2*x + 0*x).\nAnswer: 2552*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes after 7:32 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20083*v - 34962*v + 17878*v.\nAnswer: 2999*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 148 + 17659*g - 8889*g - 8880*g.\nAnswer: -110*g + 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -201021222 (base 3) to base 15.\nAnswer: -427b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -30*i + 25*i. Let u be 14*(1 + i\/4). Let o = u + 17. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -46 + 58. Suppose 0 = o + y - 16. Suppose 0 = -o*n + 116 + 184. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-513)\/9*2\/(-6). Let i = 15 - f. Sort -3, 5, i.\nAnswer: i, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 277, 0, 3 in ascending order.\nAnswer: 0, 3, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -27 - -28. Which is the smallest value?  (a) t  (b) -3  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12290687*o**3 - 22*o**2 + 116*o - 515 wrt o.\nAnswer: -73744122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 40700 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 177644 and 1497.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 - 7) + (-2)\/(-2). Let n(m) = m**2 - 4*m + 9. Let c(d) = -d**2 - d. Let a(x) = 2*c(x) + n(x). Is a(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -5*p + 369, 5*x + 5*p + 240 = -165. Let u = 97 + x. Solve u*f - 14*f = -3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1038, 401 in ascending order.\nAnswer: -1038, -5, 401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 2*y - 4*s - 53 = 0, -3*s - 4 = y. Calculate the remainder when 197 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -80871.04 to the nearest 10.\nAnswer: -80870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 155 and -7029.\nAnswer: -1089495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 21\/5 of a meter?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*g - 1733 + 317 = 0. Does 30 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-5)\/11)\/((-348)\/(-638)). Which is the nearest to r?  (a) 2  (b) -3\/5  (c) -11\/28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57299*s = -57094*s - 2870 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (-12 + -9 - -8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:32 AM and 3:41 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 148 = -4*m - 4*l, 3*l = 6. Let k = m + -19. Let i = 21 - k. Calculate the remainder when 47 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, i: 3}. What is prob of picking 2 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6 + 29?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3*8\/6 + 6\/1. Suppose 95*m = 75*m + 160. Calculate the greatest common factor of z and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3\/3 + 1451*o**2\/3 + 132182*o\/3.\nAnswer: -o*(o - 1537)*(o + 86)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**3 - n**2 + n + 2. Let x be v(0). Suppose -5*r = 0, -5*r = j + j - 4. Is 24 a factor of (76\/x - j) + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - (-2)\/5)*51975\/2772 + 1.\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*g**3 + 4290*g**2 + 3831*g + 2?\nAnswer: 12*g + 8580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 187 + 37*c + 24*c - 61*c + 21*c**3.\nAnswer: 21*c**3 + 187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/15 of a week in seconds?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(-6) + (-2)\/6. Let m(q) = -q - 1. Let f be m(n). Is -4\/11 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1029456 is divided by 343123?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -15?  (a) -31  (b) -3  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 77 divide 11549692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -429, -942, -1563, -2310, -3201, -4254, -5487?\n\"Answer: -3*l**3 - 36*l**2 - 384*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p - 0*q + q - 10, 0 = 3*p + q + 10. Let o = -2 - p. Suppose v - 9 = -2*v. Solve o*f - v = 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*g + 1614 = 1329 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4212250 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 47602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h + 2*m - 669 - 508, -2*m - 8 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k**3 + 0 + 0)*(0*k**2 + 2*k**2 - k**2) + (-12*k**3 + 3*k**3 + k**3)*(-k**2 + 0 + 0).\nAnswer: 5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and -150977.\nAnswer: -301954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 112321?\nAnswer: 11, 10211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 13046 = -2*k, 3*k + 9510 + 270 = 3*s. What is the thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/11652 and 53\/72.\nAnswer: 69912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4705 - 0?\nAnswer: -4705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -536447 divided by -4\nAnswer: 536447\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -809 + 744.2. Round k to the nearest integer.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + 7*m - 22. What is the third derivative of 3 - 3 - 12*g**m - 4*g**3 - 15*g**3 wrt g?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1238*v**3 - 1016*v**2?\nAnswer: 7428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -69 in -3\/55, -4, -51\/281?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p - 4*p + 18. Let r(h) = -6 + p + h**2 + 0*h**2. Let f(x) = -24*x. Calculate r(f(y)).\nAnswer: 576*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -6*p**3 - 5*p**2 - 5*p - 5. Let i(v) = 3*v**3 + 2*v**2 + 2*v + 2. What is -15*i(h) - 6*m(h)?\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13 - 1 - 3)*((-8 + 7*f + 8)*(-5 + 0 + 4) + 7 - 7 - 7*f).\nAnswer: -126*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 66*t**2 + t. Let z be ((-12)\/(-12))\/((-2)\/2) + 0. What is the tens digit of x(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1422*q + 876*q + 802*q = 22272 for q.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**3 + 8*h**2 + 2*h + 4. Let a = 12 - 10. Let k(n) = -2*n**3 - 17*n**2 - 4*n - 7. Let l(q) = a*k(q) + 5*w(q). Determine l(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.3 and -247143.\nAnswer: -247142.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44787.\nAnswer: 3, 14929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 201\/(-536)*((-128)\/(-12))\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/10 and -73\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i - 5, 3 = -t + i + 10. Let z be 15\/6*24\/15. Let j(l) = -2*l + z*l + t - 5*l. Calculate j(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -18*n + 53. Which is the nearest to -104?  (a) n  (b) -2  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 43691*a**2 + 4713.\nAnswer: 87382*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -17 - -37. Calculate the least common multiple of s and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 - (5 - 14)) + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is b5d0 (base 16) in base 12?\nAnswer: 22b28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = 4*w + o - 9, 3*o = w - 12. What is the second derivative of -r**w - 7*r - 3 + 3 wrt r?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -177879720, -711518887, -1600917500, -2846075559, -4446993064, -6403670015, -8716106412?\n\"Answer: -177879723*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -7 divided by 97535\nAnswer: -7\/97535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 720 and 384?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 2*u + 2 - u + (5 - 3 + 3)*(-u + 2*u - 4*u) to the form l*u + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (1 - (-5 + 8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111 + -1001100100000101110?\nAnswer: -1001100100000100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(104)*2*-4 + sqrt(104))*-4)\/((sqrt(40)*-1)\/sqrt(5) + (sqrt(8) - -1*sqrt(8)*-2) + sqrt(8)).\nAnswer: -28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.03 + -0.03. Let h = y + 3. Let w = 3.1 - h. Which is the nearest to -1\/4?  (a) w  (b) 1  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*d - 26*d - 4 = 0, 3*u = 5*d + 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 248 = 23*x - 40 + 35 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6 - 40\/(-7))\/(1\/(-58478)) a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 2*w**3 - 5*w**2 - w - 8. Let i be q(6). Suppose -3*a = 0, -5*c + i = -3*c - 2*a. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 2*v + 7 + 3 = 0, 0 = v + 5. Suppose 0 = 3*s + 4*g + 27, 14*s + 13 = 9*s + 4*g. Put -4, s, b in decreasing order.\nAnswer: b, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 888 and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = 7*z - 55. Solve -11*u + z*u - 8 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 78450410, 156900815, 235351220, 313801625?\nAnswer: 392252030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 2. Let j = -6.932 - -7. Let x = j - -0.132. Which is the nearest to -2\/3?  (a) 4\/3  (b) x  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17332 is divided by 4300?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.52 - 0.395. Let g = 0.0318 - i. Round g to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 2*f**3 + 34*f - 3 - 16750*f**2 - 36*f + 4.\nAnswer: 2*f**3 - 16750*f**2 - 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 98120, 98135, 98146, 98153, 98156?\n\"Answer: -2*g**2 + 21*g + 98101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 184 divide 3661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2\/1)\/(-1 - 1). Let b = -71 - -425\/6. Is g smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 115*c**2*q**2 + 6*c**2*q + 3*c**2 - 2*c*q**2 - 1661*c wrt q.\nAnswer: 230*c**2*q + 6*c**2 - 4*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (13 - (-1 - -8)) + 2. Suppose 45*j = 9114 + 17166. What is the greatest common factor of n and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00111372348 rounded to 5 decimal places?\nAnswer: -0.00111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*w - 37*w = 1014. Find the third derivative of 78*m - w*m + 67*m**4 + 148*m**4 - 12*m**4 + 2*m**3 - 244*m**2 wrt m.\nAnswer: 4872*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -7, -0.12, 1?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4703122?\nAnswer: 2, 461, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-2526)\/(-15))\/(-15 + 1001\/65). Which is bigger: k or 385?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.3?  (a) -41  (b) 0.041  (c) -3\/23  (d) -5  (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 260*c**2 - 2*c. Let i(o) = -260*o**2 + 3*o. Give 3*i(n) + 4*x(n).\nAnswer: 260*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve m = 7 - 1 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*c**3 + 27*c**3 + 19*c**3 - 9*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b**2\/3 - 11*b = 0.\nAnswer: -33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*f**2*j - 6*f**2 - 2781*f*j - 214952*f - 9*j with respect to j.\nAnswer: 3*f**2 - 2781*f - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(34)\/sqrt(2) - sqrt(17)) + -5 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3313682556.\nAnswer: 2, 3, 37, 7463249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9*3*(-2)\/12*2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4765626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 14304 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, x: 1, p: 4, r: 1}. What is prob of sequence xi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14064)\/5904 - (-12)\/246.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 2*k + 2*k = 1504, 3*k - 749 = 2*d. Let a = -372 - d. Solve 0 = -3*p - 4*p + a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 4730*o + 5. Suppose -2*z + 5*h = -z - 11, 3*h = -6. Is k(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46 is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**3 + 3*x**2 + 5*x - 2. Suppose 7 - 15 = -2*a. Let w be c(a). What is the nearest to 1 in 4, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 1057 = -x + 617, 2*a + 5*x = 665. What are the prime factors of a?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 25*q**2 + 42*q. Let m(i) = -273*i**2 - 455*i. Let g(y) = 65*d(y) + 6*m(y). Let z(c) = 13*c**2. Calculate 4*g(t) + 3*z(t).\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -9*b**3 + 15*b**2 + 9*b + 5. Let l(q) = 5*q**3 - 8*q**2 - 5*q - 3. Let k(n) = -4*j(n) - 7*l(n). What is the units digit of k(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-138)\/(-805))\/(21\/35*-7)\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p**3 + p**3 - 2*p**3)*(-4 + 2 - 1) + 0*p + 0*p - p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5247 + -5142. What is the greatest common factor of 147 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 3*w + 237. Let z be p(-13). Which is bigger: 2\/3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 780*a**3 + 3*a**2 + 3*a + 9. Let d(u) = 30421*u**3 + 116*u**2 + 116*u + 348. Give -3*d(r) + 116*t(r).\nAnswer: -783*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k. Let u(f) = f**2 + 9*f + 10. Let x be u(-6). Let d(c) = c + 12. Let i be d(x). Let y(l) = i*l - 9*l - 5*l. Calculate j(y(m)).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*h**3 - 10*h**3 + 8*h**3 + 14*h**3.\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 - -6.2. Which is the third smallest value?  (a) -3\/4  (b) g  (c) 42\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*j**3 + 2308*j**2\/3 + 37120*j + 12288.\nAnswer: 4*(j + 96)**2*(3*j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3382?\nAnswer: 2, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 14809028, 14809053, 14809078?\n\"Answer: 25*h + 14809003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.54 and -1?\nAnswer: -1.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -437\/4 - -110. Let l = 7.4 - 7.4. What is the second biggest value in 8, l, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 28567944 and 76?\nAnswer: 28567944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 57906, 115813, 173720, 231627?\n\"Answer: 57907*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -30*k**3 + 3*k**2 - k - 35. Let s(z) = -30*z**3 + 2*z**2 - z - 35. Let i(v) = -2*n(v) + 3*s(v). Find the second derivative of i(m) wrt m.\nAnswer: -180*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1888 + -1818. Suppose -3*r = -4*n + n - 15, 4*r - 3*n = 17. Suppose -a = r*a - 30. Calculate the highest common divisor of o and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 5908913 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.504 and -6257.\nAnswer: -9410.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes before 6:06 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/5, -2\/3, 15, -1\/3, 0.8.\nAnswer: -2\/3, -1\/3, 3\/5, 0.8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) 4  (c) -1  (d) -1\/4  (e) 531\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 3 = -24. Let j be 24\/b - 6\/14. Suppose 5*g - j + 0 = 3*n, -5*g = -n - 11. Calculate the greatest common factor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 93233 + 8\nAnswer: 93241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34437?\nAnswer: 3, 13, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.66112 plus -312.31?\nAnswer: -324.97112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 44877205 to the nearest integer?\nAnswer: 6699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 868068363 to the power of 1\/2, to the nearest integer?\nAnswer: 29463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2849 + 4259. Calculate the greatest common factor of y and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2068 - -21?\nAnswer: 2089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjppphjjphpjjpp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-185)\/(-74) - (2 + 5))*-2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7399.\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 19731 and -0.0449.\nAnswer: -885.9219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-770)\/7*14\/(-7). Differentiate -16*k**2 + 23 - 225*k**3 + j*k**3 - 310 with respect to k.\nAnswer: -15*k**2 - 32*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 81*j**2 - 1210*j + 1209. Give u(1).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -167*v + 5875754 = -144*v + 27541754. Round v to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide 32625774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -144 + -22884370.\nAnswer: -22884514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -179 + 181. Suppose w = r*h + 265, -w - 2*h = 94 - 371. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 - (8 + -15 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 173747725?\nAnswer: 5, 6949909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1268286\/6512)\/197 - 15\/(-80)*2?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 2 + -6*(sqrt(1216) + -1)**2.\nAnswer: -7296 + 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 4*l - 0*l. Let m be 4\/l + 58\/(-70). Let c = 1 + 4. What is the closest to 1 in m, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the second derivative of -1\/21*u**7 + 2*u + 0*u**2 + 0*u**4 + 1\/3*u**3 + 0*u**6 + 0 + 0*u**5. Find the second derivative of h(t) wrt t.\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 289*b + 1742. Calculate r(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, 3, 4, 0.08, 3.772?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 810 and 174143790.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (70\/42)\/((-2)\/6). Let q(c) = c + 17. Let b be q(z). Solve -k + b = 3*w - w, 4*k = -w + 13 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 3*v**2 + 90*v. Let p(o) = 82*o - 7. What is t(p(a))?\nAnswer: 20172*a**2 + 3936*a - 483","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13116 - -18726. What is z rounded to the nearest one hundred?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2370391097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes before 12:46 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and 28?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -4*r**3 - 4*r**2 - 1. Let u = -5 - -2. Let l be g(u). Let x = l - 40. Round x to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 3*l**2 + 2*l. Let j(s) = -63*s - 5*s**2 + 59*s - 2*s**2. Determine -9*d(i) - 4*j(i).\nAnswer: i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*y**4 + 676856*y**3 - 28596804244*y**2 - 3094378514064*y - 83601544118544.\nAnswer: -4*(y - 84661)**2*(y + 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4812 is divided by 38.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -20869 - -20873. What is the highest common divisor of 6468 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j - 2*d + 19, -3*d + 31 = 5*j - 0. Let z = -2990 + 4198. Suppose j*n + 403 = z. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**3 + 13*h**2 - 1744*h - 14267. Give i(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -261*h**2 - h + 459 wrt h.\nAnswer: -522*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**3 - 16*q**2 + 12*q + 44. Let y be k(15). Let v be -1 - (-2)\/(-4) - -1. Let u = -8\/5 - -82\/45. Which is the nearest to v?  (a) -0.3  (b) y  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -88 - 139 + 65 + 984*l + 982*l - 1974*l.\nAnswer: -8*l - 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) 2  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3491 = -253*v - 2075 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h = 13*h - 21. Solve 9 = h*i, 0 = q - i + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -34 - 10*t**2 + 34 - 3*t + 3*t + t**2 + (2*t + 2*t - 2*t)*(3 - 3 + t) - 29*t**2 + 770*t - 770*t.\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (4*1\/(-2))\/((-14)\/(-3))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3098 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -12a854 (base 12) in base 8?\nAnswer: -1133100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*v - 4 = -3*v, -5*q - 3*v + 7 = 0. Let c be -4 + q + 20*1. Suppose c = j + j. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -9516, -18845, -28174, -37503, -46832?\n\"Answer: -9329*b - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16371, -33370, -50369?\nAnswer: -67368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1594168?\nAnswer: 2, 89, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -5561357\/23 less than or equal to -241797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2430*s**2 - 59*s + 26.\nAnswer: 4860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 16 = 0, 4*k - 20 = 4*o - k. Let y = -3 + o. Let s(q) = -14*q - 4. What is the remainder when s(y) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -258 + 302086?\nAnswer: 301727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -2*v + 3. Let i(m) = 5*m - 6. Let b be -1 + 2\/1 + 3. Let o(k) = b*i(k) + 9*a(k). Calculate o(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 22660?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 112, 123, 134, 145, 156?\n\"Answer: 11*m + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/9, 4, -8, 147.9, -1\/2, -117\/5, 1\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-4)*2*20\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**2 + 13932*f - 55744.\nAnswer: (f - 4)*(f + 13936)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3152.412 - -3152. Round w to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as 48162.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100d4 (base 14) to base 8.\nAnswer: -113312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(612)*1)**2.\nAnswer: -48*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 568172726.\nAnswer: 2, 11, 23, 1033, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2\/8 + 3*y\/8 + 9\/4.\nAnswer: -(y - 6)*(y + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 1\/4  (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1051 - 386*q - 59*q - 2292 + 1241.\nAnswer: -445*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-7) - (-21)\/(441\/78). Suppose -3*p - t*y - 1 = 0, -p = 4*y - 34 + 45. Let x(h) = -h**2 + 5*h - 1. Determine x(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02297 to 3 dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 19137060 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -24b9b72 (base 12) to base 15.\nAnswer: -97710e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4804\/1719 + -18\/191. Let x = m - -20\/9. Let j = 1.2 - 2.2. Which is smaller: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {q: 1, t: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -113*f - 58 = -114*f. Is f less than 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 13*l**2 - 2*l - 2. Let p(m) = 53*m**2 - 9*m - 9. Let n be 18\/45 + 94\/(-10). Give n*v(o) + 2*p(o).\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 4*s + 5. Let w(n) = -4*n - 6. Let i(a) = -6*q(a) - 5*w(a). Let k(z) = -20 + z + 20. Calculate i(k(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -325589\/56 + 5814. Find the common denominator of -67\/264 and c.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + b**3 + 1 - 6 + 6 - 3*b**3 + (3*b - 2*b**2 - 3*b)*(0*b + 5*b - 2*b).\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 50.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (12 - 3) - 5 - 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 - -1110?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 53 - 34. Let o = -43 - -42.9. Let u be 1\/(-1)*(30\/(-36) - -1). What is the nearest to q in o, -2, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 4*s**2 + 3*s. Let x(w) = -3*w**2 - 2*w + 1. Calculate 2*g(z) + 3*x(z).\nAnswer: -z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 43*x**2 + 1861*x - 1908. Determine j(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 4 = -4*f, 6 = w - 5*f + 14. Suppose 3*k + 6*t - 3*t = 12, 2*k = 4*t + w. Which is the nearest to 1?  (a) k  (b) 5  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -154*p**2 + 100*p**2 + 81*p**2 to g*p + s + v*p**2 and give v.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes before 10:42 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 2*n = 4*y, -4*y - 2*n = 0. Suppose y = 6*h + 12. Let u = 1 + -1. Sort u, -50, h in decreasing order.\nAnswer: u, h, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-213)\/6 + -2 + (-1)\/(-2). Let a = t - -73. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 58174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10474 is divided by 53?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 45697*g**3 + 16*g**2 + 2*g - 12. Let z be t(-6). Round z to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -132 + 17 + 8*o - o - 26 - 6*o.\nAnswer: o - 141","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*u**3 + 10*u**3 + 12*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 23658*c - 47231*c + 6 - 1 + 23578*c + 0.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 364136503?\nAnswer: 15959, 22817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (16 + 24 + -4 - (-1 + 6)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 283 - 168*h + 66*h + 121*h.\nAnswer: 19*h + 283","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -h + 2, -h - 5*s + 3 - 1 = 0. Let t = 2 - h. Is (-3 - t)*(-152)\/24 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**3 - w**2 - w + 5183. Let p be t(0). Let g = p - 31165\/6. Find the common denominator of g and 7\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -48?  (a) 0.3  (b) 214  (c) -4\/3  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 1 - 0) + 8 + -250 + -364 + 600?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 w, and 2 j when four letters picked without replacement from yjyzwjwwjcywvvjcjww?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4.8 + 4.7. Sort 2, 4, l.\nAnswer: l, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89*v - 137 + 18 = 237. Let l be (-200)\/(-14) + 4\/(-14). Let r = l - 2. Calculate the remainder when r is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/3122766 and -145\/1387896.\nAnswer: 12491064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 369616 and 20?\nAnswer: 1848080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 332699040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -145\/144 and -63\/22.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 213 a factor of 7158717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 18*h*z**4 + h*z**3 + 4*h*z**2 - 19*h - z**4 - 3*z**3 + 1 wrt z.\nAnswer: 432*h*z + 6*h - 24*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = -3*p - 3*r - 3, -4*r + 28 = -5*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**3 - 8*w**2 - 16*w + 15. Let p be 3 - (-55)\/(4 - -1) - 4. Calculate the remainder when 383 is divided by b(p).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3780664 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c**2 + 1235645*c - 3706890 = 0 for c.\nAnswer: 3, 247126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, -0.1, 149?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 23351131247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11 - -8. Let y(k) = k**3 - 43*k**2 - 91*k + 40. Let a be y(45). Sort -1, 2, g, a in descending order.\nAnswer: 2, -1, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t + 1. Let p = 58 - 37. Let w = p - 31. Let h(a) = -65*a + 10 - 69*a + 224*a - 78*a. Determine w*m(f) + h(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 204795935?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*q**5 + 235*q**4 - 13285*q**3 - 353895*q**2 + 13436280*q - 36785340 = 0. Calculate q.\nAnswer: -54, 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 51020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1.1 and 1035355369.\nAnswer: 1035355367.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -765098, -765098, -765100, -765104, -765110, -765118?\n\"Answer: -v**2 + 3*v - 765100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -38  (b) 0.16  (c) -2805\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (13\/12)\/((2331\/2268)\/37)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 5*j = -125, 3*j - 11 = -u + 20. Suppose 4*k = -t + 3*t, -5*t + 3*k + 14 = 0. Solve 0*b + t*b - 33 = 5*o, b - 4*o = u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5)\/(3 - 4)*12\/(-890). Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-26 + 12*y + 26)*(-2*y + 3*y + 2*y).\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 95 + 117a?\nAnswer: 120f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 40847?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**2 - 7*a - 6. Suppose -5*l + 2*c - 23 + 1 = 0, -3*c = -4*l - 19. Let p be x(l). What is the smallest common multiple of 9 and (2\/p)\/(2\/30)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000073 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:46 PM and 11:04 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -9*a**3 - 7*a**2 - 3*a - 7. Let y(w) = -3*w**3 - 2*w**2 - w - 2. What is 2*t(v) - 7*y(v)?\nAnswer: 3*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-five quarters of a millennium?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 3 = -c. Let v be (-1)\/c - 44\/(-12). Suppose -w + v = -7. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4021615 to the nearest integer?\nAnswer: 2005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/(9*602\/(-387))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 549768 is divided by 737?\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 - 974?\nAnswer: -975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 + -546?\nAnswer: -553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16864 and 135904.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -3240232 (base 5) to base 2\nAnswer: -1101100110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -128623 (base 11) in base 16?\nAnswer: -31404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 + 5*n + 1. Let x(q) = 2*q**3 + 6*q + 1. Suppose -7*b + 2 = -4*p - 10*b, 4*p - 3*b = -14. What is p*x(i) + 3*j(i)?\nAnswer: -i**3 + 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1159426549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f + n = 14, 5*f = 115*n - 120*n + 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(2\/55))**(-5)\/(a**9*(a*a**12)\/a))**(1\/5) assuming a is positive.\nAnswer: a**(-233\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8665\/65108 - -21\/164. Let z = 788\/1191 - h. Which is the nearest to -1?  (a) -5  (b) -0.35  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 15 + 25)*((-2*a - 5*a + 5*a)*(-5*a + 4*a + 3*a) - 2 - a**2 + 2 + a**2 + 0*a**2 + a**2) in the form c*a**2 + p + i*a and give c.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i - 1340 = 244. Calculate the remainder when i is divided by 66.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*h + 2640 = 144*h - 26*h. Let c be (4 - 1)\/(1 + 0). Solve 3*b + c*a = 21, -5*b = 4*a - h - 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/4*-1*(-20)\/10. Let n be (-44)\/297*(-5)\/(10\/s). Factor 2*d + n*d**3 + 0 + 4\/3*d**2.\nAnswer: 2*d*(d + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 236062?\nAnswer: 2, 17, 53, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 692 - 691.999971. What is a rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10231120 - 23?\nAnswer: -10231203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13 + 11.44. Let x = g + 0.1. What is x rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z**4 + 123*z**3 + 630*z**2 = 0.\nAnswer: -35, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:27 AM and 10:51 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 2, -2, 4, -8303, 6 in decreasing order.\nAnswer: 6, 4, 2, -2, -6, -8303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**2 - 4*c + 7. Let b be f(4). Let h be 30\/12*(b + -1). Solve 4*r = r - h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 - 11. Let m(p) be the first derivative of -240 - 11*p - 8*p - 6*p - p**2 + 25*p. What is m(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -7203*i**4\/4 - 39895947*i**3 - 220959223743*i**2 + 180394816680*i - 36816625200 = 0. Calculate i.\nAnswer: -11078, 20\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2239078, -2239079, -2239080?\nAnswer: -2239081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 50 = -639*w + 640*w, w - 24 = g. Put 0, 1, -10, g, 4 in increasing order.\nAnswer: g, -10, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p + d + 20, -4*p - 13*d = -8*d + 13. Solve m + 7 = p*a - 0, -a = -4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 28 and 49.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the third derivative of -u**4\/12 - 7*u**3\/6 - 2*u**2. Let g(w) = -w**2 - 6*w + 2. Let v be g(-7). Calculate m(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 6*o + 7 - 5 + 2.\nAnswer: -6*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.72 - -188.28. Let b = -191.2 + i. What is the nearest to 0 in b, 7, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*(180*(-10)\/(-2800) - (-2)\/(-14)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -91*h + 2354. What is c(25)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*x + 4 = -34*x, -9 = 2*m + 3*x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -93.91 + 2.31. Let s = -91 - v. Let y = -0.9 + s. Which is bigger: y or -5\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -244\/3 = -82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.21 times -128?\nAnswer: -26.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7576 + -7507. Suppose -3*s + 4*s = 6. Differentiate -r + 102 - s*q**4 - 5*q**4 with respect to q.\nAnswer: -44*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 - 1)*(2*a**2 - a**2 - 2*a**2) + (-7 + 7 - a)*(-6*a + 4*a + 3*a) + (-2*a + 0*a + 4*a)*(8*a - 4*a + a).\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3846914 litres in millilitres?\nAnswer: 384.6914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 + 3 + 0)*(-4*d + 4*d - 3*d) + 13*d + 21*d - 2*d to the form q + k*d and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 - -9. Let z(l) = -l**2 - 2 + 4*l - 3*l + 0 - l**3. Let g be z(u). Let w(m) = -m - 6. What is w(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3265 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the third derivative of 0 + 1\/24*u**4 + 0*u + 4*u**2 - 1\/6*u**3. Differentiate x(w) with respect to w.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2262979 is divided by 229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -v**2 + v**2 + v**4 + (-86*v**2 - 4*v + 85*v**2 + 34*v)*(-4 - 5*v**2 + 2 + 3) in the form r + x*v**4 + w*v + i*v**2 + q*v**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 1\/9, 206, -161 in descending order.\nAnswer: 206, 5, 1\/9, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.36 and 281.82.\nAnswer: -101.4552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -39 + 74. Suppose -r = -11*v + 4*v. Suppose 3*f - v*x = 2351, -5*f - x = 2*x - 3941. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -137 (base 14) to base 12.\nAnswer: -185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1989567 to the power of 1\/2, to the nearest integer?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*n**4 - 2 + 2*n - 7*n**4 + 125*n**3 + 2*n**2 - 106*n**3 to the form i + r*n**3 + z*n**2 + a*n + b*n**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 535, 1070, 1619, 2188, 2783, 3410, 4075, 4784?\n\"Answer: b**3 + b**2 + 525*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -41354 divided by 31\nAnswer: -1334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1529.396 - 29.\nAnswer: -1558.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 82 + -58. Let r = 24 - q. Solve r = 11*y - 8*y - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 343 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -25*j**5 - 176 - 460*j**2 + 330*j**3 + 5*j**4 - 565 + 1221 - 280*j = 0?\nAnswer: -4, -1, 6\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**2 + 34*p + 127. Determine j(-28).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**3 + 10*y**2 + 3*y - 13. Let z(v) = 3*v**3 + 21*v**2 + 7*v - 27. Let q(h) = -5*r(h) + 2*z(h). Let f be q(8). Sort f, -6, -5 in descending order.\nAnswer: f, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**3 - 28*z**2 - 196*z - 149. What is i(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (-3 + -1 - 5) - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uac when three letters picked without replacement from {a: 1, u: 1, c: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.3617207 - 33.2561017. Let h = 0.0395224 + g. Let v = h - -33.6. What is v rounded to three decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20\/(320\/24))\/(6\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 876.6634km in millimeters?\nAnswer: 876663400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, d: 1, w: 1, l: 2, e: 1, m: 2}. Give prob of sequence def.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (64736\/56)\/(2 - 2\/(-1)). What is the greatest common divisor of 544 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4664419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*y**3\/7 + 828*y**2 - 2148000*y\/7 + 34860608\/7 = 0. Calculate y.\nAnswer: 17, 716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1277*b - 46639 - 53754 = -17630 - 13805 for b.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 142 = -5*r + 437. Suppose 36 - 13 = q + 3*n, 3*q - n = r. Solve -4*k + q = -0*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -91 divided by 5?\nAnswer: -91\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.07 in -6.22, 4, 1\/4, -3\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -728 * 3.95\nAnswer: -2875.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*y - 1176 = 32*y. Which is greater: 110 or y?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, -2, -1.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15 - -19. Suppose -4*a + 12 = r*d - 2*d, d + 3*a - 9 = 0. What is the second smallest value in d, -1\/7, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4801.\nAnswer: 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (2 - -5) + 25 + -21\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*b**3 + 116*b + 24*b**3 - 116*b.\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.379398 to 2 decimal places.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 107 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 8 = -2*q + 4*y, 0 = q + 2*y + 8. Suppose -h - 5*h + 24 = q. Suppose r - 3 = h. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2104 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -117 + 113 = -4*k. Suppose 10*i - 28 = 2. What is the remainder when i is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -243*s**5 + 1197*s**4 - 18*s**2 + 21*s - 400.\nAnswer: -14580*s**2 + 28728*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10185 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -620800 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -975415*c**2*h**3 + 3*c*h**3 - 246102*c wrt c.\nAnswer: -1950830*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 11*o**5\/5 + 7679*o**4\/5 + 53949*o**3\/5 + 35113*o**2\/5 - 17692*o - 8292\/5 = 0?\nAnswer: -691, -6, -2, -1\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(5\/6)\/d)\/((d\/(d\/(d\/d**17))*d)\/d)*(d**(2\/19)\/d)**(-2\/139) assuming d is positive.\nAnswer: d**(251099\/15846)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 596*m**2 + 449*m. Let x be r(-1). What is the highest common divisor of x and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1014.8 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 20 = -84*w + 83*w, -g + w = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fxmr when four letters picked without replacement from {m: 4, f: 4, x: 1, r: 4, y: 7}.\nAnswer: 8\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 6*o**2 - o + 2. What is the remainder when d(4) is divided by 71\/((-6248)\/(-48)) - (-203)\/11?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 6*n**2 + 4 - 2*n + 7*n + n**3 - 2*n. Let b be c(-4). Calculate the greatest common factor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/68*44880\/126720?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3300753*t**3 - 2*t + 2054045?\nAnswer: 19804518*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -406*u**3 + 804*u**3 - 400*u**3 - 6*u**2 + 6*u**2 + 92.\nAnswer: -2*u**3 + 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 26282, 28500, 30716, 32930?\n\"Answer: -u**2 + 2221*u + 24062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1189 + 5*z**2 - 1334 + 4*z**2 - 3*z**2 + 4128.\nAnswer: 6*z**2 + 3983","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:15 PM and 10:00 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 582153 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*h = 8*h + 1, 3*h + 41 = 4*f. What is the third derivative of q**6 + f*q**6 + 47*q**2 - 375*q**2 + 9*q**6 + 14*q**6 wrt q?\nAnswer: 4200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1394 is divided by 464.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y + 24*y - 1560. What is the smallest common multiple of y and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.059446219 to five decimal places.\nAnswer: -0.05945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1955208 and 3974?\nAnswer: 1955208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 2) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 42 and 714?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -4680747 divided by -20\nAnswer: 4680747\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x = -4*j + 13, -2387 = 4*j - 5*x - 1204 - 1204 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 + 3*w**2 + 3*w + 4. Let z be o(-3). Let y = z - -13. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.376 times -1363\nAnswer: 512.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from {t: 5, e: 7}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(153) - (sqrt(153) - (sqrt(153) + -1)*-4) - 3*(-3 + sqrt(153) - sqrt(153))) + -2)**2 + -4)*-5.\nAnswer: -12825 + 1320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the second derivative of -4\/15*v**4 - 4\/75*v**6 - 1\/210*v**7 + 0*v**2 + 2 - 1\/6*v**3 - 9\/50*v**5 - 55*v. Determine o, given that k(o) = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v*v*(v**(-1\/12)*v)\/v)*v)\/v**(1\/16) assuming v is positive.\nAnswer: v**(1\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2003442 (base 5) to base 8.\nAnswer: -76003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.1 + 3.9. Let b = -93 - -747\/8. Sort j, b, 0.3 in descending order.\nAnswer: j, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -7*y**3 - 6*y**2 - 11*y + 3. Let q be g(-3). Calculate the highest common divisor of q and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*n = -15*n - 11*n + 2064. Calculate the remainder when 7653 is divided by n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -153.8 - -154. Let p(a) = 3*a**2 - 3*a - 2. Let y be p(-4). Let q = 53 - y. What is the biggest value in q, -1\/3, -0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 657258 is divided by 3058.\nAnswer: 2846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (-1 - 5 - (-4 + -14 - -16))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkrkrk. What is prob of picking 1 r and 1 k?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -162.612438 rounded to 1 decimal place?\nAnswer: -162.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 384796 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 93 divide 4653724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nc when two letters picked without replacement from nnnnnnnnnnnnnnnncnnc?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 2*w**2 + 8*w + 2. Let x be c(-4). Solve -2*l = x - 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 643 a factor of 32793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -516 from -16828.\nAnswer: -16312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the third derivative of 9*n**7\/70 + 3*n**5\/4 - 33*n**2. Find the third derivative of d(j) wrt j.\nAnswer: 648*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -112952, -112948, -112942, -112934, -112924?\nAnswer: -112912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2141248.7 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1*-1*(9 + -8). Sort g, -8, 0 in decreasing order.\nAnswer: 0, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1031 (base 6) to base 9\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -45345\/1559 > -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00023335 to 5 dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 + 3. Let k be (-2246)\/6 + o\/6. Is k\/(-10) + (-6)\/15 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1665830151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13 and 1937?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(11) + -1) + (sqrt(11) - (sqrt(11) + (sqrt(44) - sqrt(176)))**2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -5*s**2 - 1. Let z be -3*(1 + -4 + 4). Let l(f) = 6*f**2 + 2. What is z*l(j) - 4*y(j)?\nAnswer: 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.081 - 3.919. What is the smallest value in -3, z, -4, 1\/13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1119722*u**4 - 848478*u**2.\nAnswer: -26873328*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -787.7  (b) 1  (c) 61  (d) -0.3  (e) 98  (f) 0.5  (g) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13 + -21. What are the prime factors of d\/(-44) + 1294\/22?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 12\/(-66) - (-312)\/22. Suppose 3*s - 12 = -0, s = -2*r + j. What is the remainder when 10\/(-15)*42\/(-4) is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -255 - -254.999999666. What is d rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 221561896?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.6 less than or equal to 3084.65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:10 PM and 1:53 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*l**3 - 329 + 325 - 7*l - 14*l**3 as k*l + g*l**2 + m + r*l**3 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -24 - -23.92. Which is the third smallest value?  (a) 0  (b) -5  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 311 = -4*v, 5*v - 2*l - 3*l - 395 = 0. Calculate the remainder when v is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**2 - 3*i - 4. Let w be h(-4). Let l = -12 + w. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1147882360?\nAnswer: 2, 5, 317, 90527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9\/28 + 4\/7. Let p = -1 - -2. Suppose 13 = 8*r + 5*r. What is the nearest to p in k, -2\/9, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-26 - -12 - -13) + -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2378071216*s - 166*s**2 - 2378071216*s.\nAnswer: -166*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/1 + -1 + -1. Let m(x) = -5*x - 4. Is m(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and -89906.\nAnswer: 44953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -82232 + -15?\nAnswer: -82247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1523034 (base 6) to base 10.\nAnswer: -88798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -96*r - 2536 = -100*r. Suppose -14*k + 13*k + r = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67.04953um in millimeters?\nAnswer: 0.06704953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**(1\/4))\/g**(-16) assuming g is positive.\nAnswer: g**(67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*j - 62*j = 5*u - 5, -3*j - 3 = 0. Solve 6*o + u = 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4.5 + -6.5. Sort -0.3, 0, t in increasing order.\nAnswer: t, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u - 3*u + 6*u - 12)*(-37*u - 83*u + 10*u).\nAnswer: -110*u**2 + 1320*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hiljhjjmii. Give prob of sequence ihi.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1700.73078 hours to weeks.\nAnswer: 10.1233975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -11*g + 9*g - d + 10, 4*d - 7 = 3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jddjdddj. Give prob of picking 1 d and 3 j.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (((-190)\/57)\/(-10))\/(3\/(538 + 2)). Let m = 77 - 37. Calculate the greatest common divisor of q and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 166810087 to the power of 1\/2, to the nearest integer?\nAnswer: 12915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 951353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**2 - 5*r + 4. Let c be n(5). Suppose 0 = -j + 3*j + c*g + 4, -4 = j + 4*g. Suppose j = -5*q - 74 + 189. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -795, 769, 3371, 7011, 11689, 17405?\nAnswer: 24159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -28 - 9*i**2 - 30 - i**3 - 22 - i + 93 - 22. Determine f(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u - 1 + 7. Let v(l) = -l**2 - 5*l + 12. Let d be v(u). Let g = d + -23\/4. Which is smaller: g or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s + 7*s = -a + 363, -5*s = 5*a + 1825. Let z = s - -2414. What is z rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*u - 27 = -6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 55996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -227, -418, -959, -2024, -3787, -6422?\nAnswer: -10103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4*b - 2*b + 0*b)*(-2 + 2 + 1) + 4*b + 4*b - 17*b + 3 + b - 3)*(-10*b**4 - 9 + 9).\nAnswer: 60*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/921 greater than 0.21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvvd when four letters picked without replacement from vdvovvdvvdd?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**2 - 8*d - 5. Let y be (-2)\/5 + (-33)\/5. Let g be m(y). Let o = -303 - -317. Solve -g*x - 7 = -w + 2*w, x = 3*w + o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 117156.\nAnswer: 2, 3, 13, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 39 = y + 273, 3*y = 9. List the prime factors of 1337\/q - 4\/18.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 14 + (-5 - -2) - (0 - -3). Let c be w - 5 - ((11 - 0) + -2). Let o be (c\/(-15) - 0)\/(2\/100). Calculate the greatest common factor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**3 - 12*t**2 + 430*t + 279. Calculate l(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 1294 = -214. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45942 = -i - 5*m, -24593 = -i - 2*m + 21364. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4447 is divided by 320.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sum -4494148 and -1.9.\nAnswer: -4494149.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 98 and 15779680.\nAnswer: 110457760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**5 - 112*m**4 + 24*m**3 + 704*m**2 + 908*m + 336.\nAnswer: -4*(m - 3)*(m + 1)**3*(m + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -646 - -645.7. What is the third smallest value in t, -5, -4, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -10*j - 6. Let b(p) = 1. Calculate -4*b(x) - d(x).\nAnswer: 10*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 5313.861ng in grams?\nAnswer: 0.000005313861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -647, -4, 4, 15, 3024 in increasing order.\nAnswer: -647, -4, -3, 4, 15, 3024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5468)\/(-52) + (-63 - 18791\/(-299)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14*234\/10192)\/((-1)\/4).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 35560427?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01350669533 rounded to 6 dps?\nAnswer: 0.013507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 - 10*u**2 - 8*u - 5. Suppose 4*l + 60 = -12. Let p = l + 8. Let b be s(p). What is the highest common divisor of b and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 14, y: 5}. Give prob of picking 3 t.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j + 9. What is l(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yquywgxug. What is prob of picking 1 u and 1 q?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12969 = 56*u - 65*u. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes before 3:21 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**3 + 8*p**2 - 7*p + 2. Let c be o(7). Suppose -2 = -u - 0*u. Let a = u - c. Sort -1, 1, a in ascending order.\nAnswer: -1, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 432833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 4, -0.4, 2\/7, 1.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10732.6593 - -10732. What is c rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -6*l**3 + 33*l**2 + 8*l + 63. Let x be s(-11). What is x rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 56119 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 127561962 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g - 3*g + 48. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*p**2 + 2*p - 2 - 2*p**2 + 8*p**2 - 8*p**2 - 4*p**3 + 6*p**2 - p**4 as t*p**2 + z*p**4 + d*p**3 + l + g*p and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 100529166 to the power of 1\/3, to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bfbb when four letters picked without replacement from bfbbfsssbdfsbsfsfbb?\nAnswer: 175\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -6 + -801?\nAnswer: -807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -107474598, -107474601, -107474604?\n\"Answer: -3*b - 107474595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 4, -88 in ascending order.\nAnswer: -88, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the second derivative of f**5\/20 + f**4\/6 - f**3 - 7*f**2\/2 + 21*f. Let m be w(-3). Suppose -m*b = 2*b - 4. Solve -h + 0*h - b = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11 + 3*g - 3*g + 21*g - g - 5*g - 2*g.\nAnswer: 13*g - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -2*y**3\/5 - 40246*y**2\/5 - 104584*y - 241320 = 0.\nAnswer: -20110, -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o - 0*o + 9376. Suppose 0 = -4*k - 5*l - 9804, 5768 - 18064 = 5*k - 4*l. Let f = k - o. What is f rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**2 - 26*t - 74. Let v be j(-11). Calculate the highest common factor of 26 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -106 - -106.2. Suppose 5*z = -4*j + 13, -z = 2*j - 3 - 2. What is the closest to 3 in -5, z, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 16 + -11 + (-2890)\/8 + 4. Is y <= -352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 - (188 + -88 + -57)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2788351\/59 - 47259. Let v = -5059\/236 + p. Find the common denominator of v and 43\/75.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 798*c**2 - 95*c + 95. Let v(j) = -17*j**2 + 2*j - 2. Let q(g) = -2*p(g) - 95*v(g). Let s(y) be the first derivative of -y**3\/3 + 4. Give q(s(a)).\nAnswer: 19*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -83 - (-6 + (42 - 84)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-170)\/(-20) - (-3)\/2. Suppose -5*r + 4 = -3*r - 5*k, 3*k = -5*r + m. Suppose 16 + 18 = 2*o - r*n, o = -4*n - 3. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-14)*14\/12?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 4 and (0 - 2\/4)\/(2009\/(-1176))?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 272*s + 1. Let r(z) = -z**2. What is r(p(u))?\nAnswer: -73984*u**2 - 544*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 701103635?\nAnswer: 5, 140220727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5\/31 or -1.14?\nAnswer: -1.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 312*w = 92*w - 2420 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 459 and 441?\nAnswer: 22491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2157 and 366551952.\nAnswer: 2157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**5 + 2*m**4 - 2*m**2 - m.\nAnswer: m*(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**2 + w + 3. Let q be (8 - 62) + (8 - 5)*-1. Let l = q + 64. Let p(i) = -5*i + i + 5 + 6*i + 2*i**2. Give l*j(g) - 4*p(g).\nAnswer: -g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -185\/6 + -11\/3. Which is smaller: r or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 - -1. Let r = 2 - f. Suppose -u + 2242 + 858 = r. What is u rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 3*t - 20, -t - 20 = -4*f. What is the remainder when 28 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 67004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 4*(sqrt(720)*1*-6 + sqrt(720) + sqrt(720) + sqrt(720) + -2)*-4)**2.\nAnswer: 36864*sqrt(5) + 1659904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.0702 times 0.124\nAnswer: -0.0087048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 4, u: 2, r: 1, i: 5, z: 4}. What is prob of sequence mu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -971*r - 2. Let g be i(1). Let o = g + 1697. Suppose -3*b = b - o. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1100010110001011101 (base 2) in base 5?\nAnswer: -100421243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**3 + 27*r**2 + 75*r + 71. Let l be i(-24). Let p(n) = n + 1. Let q(o) = -19*o - 7. Let u(h) = 6*p(h) + q(h). Give u(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(4 + -3 + sqrt(245)).\nAnswer: 3 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9dea9 (base 16) to base 9.\nAnswer: 1185244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes after 8:09 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -b**4 + 54*b**3 - 15 with respect to b.\nAnswer: -4*b**3 + 162*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**5)**(-12) assuming h is positive.\nAnswer: h**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*j + 4*d + 5, 0 = -j + 10*d - 12*d - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**2 + f - 1. Let s be b(-3). Suppose -s*z - 4 - 6 = 0. Is ((-4)\/z)\/(12\/66) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - (3 - (6 - 9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000055 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 3*u. Let l(z) = -2079*z + 936 + 941 - 2816 + 939. Determine s(l(f)).\nAnswer: -6237*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1478231641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 3*q - 1. Let j(s) = 8*s - 1. Calculate -2*g(n) + 5*j(n).\nAnswer: 34*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -31202011 (base 4) in base 15?\nAnswer: -11654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 10 = -7*t. Suppose t*s = s. Suppose 14*a - 9*a = s. Solve 4 = y - a*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 9*l - 2. Let t be 2\/((-6)\/9) + (-10)\/(-10). What is f(t)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from naaaaann. Give prob of picking 4 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/20 - 5*1) + 3.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002422 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.17 + 0.13. Which is the closest to -2\/3?  (a) -2  (b) -3  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 66 = 176. Let i be (4 - 1\/(-1)) + -3. Suppose 26 = 4*m - i. Calculate the least common multiple of c and m.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 96800.73 minutes?\nAnswer: 5808043800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 4, g: 4, l: 8}. Give prob of sequence igig.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - j + 2 + (-8*j - 5*j + 2*j)*(-3 - 1 - 31) + 2 - 2 + j to the form u + c*j and give c.\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -3*v**3 + 8*v**2 - v + 3. Calculate y(4).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -190 (base 13) to base 16\nAnswer: -11e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 22\/8 + -6 + 147\/28. Let y be (-3)\/(21\/d)*-1. What is the second biggest value in 1, 5, y, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**3\/7 + 19128*g**2\/7 - 45735048*g\/7.\nAnswer: -2*g*(g - 4782)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 14*m - 14*m + 20*m + 17*m in the form d + a*m and give a.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 51.59635l to millilitres.\nAnswer: 51596.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 55814065 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 2847, 2867, 2921, 3027, 3203?\n\"Answer: 3*h**3 - h**2 + 2*h + 2843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -728 * 1835\nAnswer: -1335880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 - -16. Suppose -n = -3*f + 2*f, -45 = -5*n - w*f. Suppose -n*k - 2*g + 0*g + 49 = 0, -g - 25 = -3*k. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 87. Let k(m) = 485*m + 435. Let y(f) = -5*b(f) + k(f). Let x(w) = -2*w. Give y(x(c)).\nAnswer: -970*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 4*c = -v, 0 = 2*c - 6. Suppose 4*q = -3*i - 5, -5*i + 0*q + 11 = -3*q. Suppose -v = -r - i. Is 5 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w**2 + 4*w**2 - 2*w**2)*(-3*w**3 + 4*w**3 - 3*w**3) - 5*w**5 - 2*w**5 + 4*w**5 - w**5 + 3*w - 3*w.\nAnswer: -2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -4 - 154 - (3 + -4). Let b = 159 + v. Solve -3*y + b*y = 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -21  (b) 2  (c) -0.08  (d) -1\/25  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 2*h + 44 = -6*h, 2*h + 29 = 3*w. Let d = w - 5. Let j(p) = -8*p + 8*p + p**2 - 4*p**d. Let s(g) = -g. Calculate s(j(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3446\/3 + 1148. Sort 4\/9, -13, -4, b in increasing order.\nAnswer: -13, -4, b, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**2 - 11*m + 2. Let t be u(11). Suppose t*f - 2*l + 1 = -l, -f - 8 = -2*l. Suppose 5*z = b - 15, -2*b + 10 = f*z + 4. Solve -b*d = -8 - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**3 + 27*a**2 - 122*a - 25. What is i(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(99) - (sqrt(99)*-6 + sqrt(99) + -4)))**2.\nAnswer: 576*sqrt(11) + 14320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -0.3, 0.4, -3.\nAnswer: -3, -0.3, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = y - 4*y + 52, y + 5*c = 23. What is the least common multiple of 8 and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes before 11:21 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -124, -256, -410, -592, -808, -1064?\nAnswer: -1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**3 - 8*s**2 + 7. Calculate m(6).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes after 12:24 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 176 divide 1069904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 8*r + 3*r + r**2 + 4 - 2 + 2. Let i be l(-11). Let b(z) = i*z - 4*z + 3 - 2*z. Calculate b(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-125 - (-36 - 77)) + -3 + 0 + 132?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes after 12:29 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*h + 20*h + 0*h - 482 + 482 - h.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*t**3 - 7*t**3 + 2*t**5 + 0*t**5 + (t**5 - t**5 - 3*t**5)*(-45 + 2 - 4).\nAnswer: 143*t**5 - 7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -418*a - 115 = -395*a. Put a, 3, 2, -13 in descending order.\nAnswer: 3, 2, a, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 9 = -5*u, 0 = 3*u - 0 - 3. What is the units digit of v\/2 + (-508)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**3 - 13*b**2 + 14*b + 30. Give a(11).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 8, -120416, -2\/13?\nAnswer: -120416","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.6 + -7.6. Let d = -29 - -28. Is f > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 112 = -4*z, -3*z - 5 + 14 = 0. Suppose 8*v - h = -12*v. Which is smaller: v or -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 182973 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 u be 12\/108 - 8\/(-36). What is the smallest value in 9, 2\/11, 2, u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 36 = d - 3*o, 0 = o - 2. Suppose 4*r + v + 3*v = 92, 2*r - d = 2*v. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000722 to seven decimal places.\nAnswer: 0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 325 = 5*l - 2*p + 6*p, -l + 4*p + 65 = 0. Calculate the remainder when l is divided by ((-1944)\/(-10))\/6 - (-6)\/10.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 times -0.49707\nAnswer: 0.198828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 556.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 10 = -2*r, 0*p + 2*p + 2 = 0. Let d be ((-6)\/2 + r)*28\/49. Determine g so that 4\/7*g**4 + 4\/7 - 8\/7*g**2 + 2\/7*g - d*g**3 + 2\/7*g**5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/435 and 59\/579470.\nAnswer: 50413890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 544560564 to the nearest integer?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4 - 5)*-29*1. Let q = 31 - x. Solve 5*b - 5 = 0, 0 = -q*c + b + b - 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1837.0000000683 - -1837. What is u rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 418.8528 nanograms?\nAnswer: 0.0000000004188528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 8 = 4*y, -3*x + 5*y - 15 = 2*x. Let o be 46\/2*(-3 - x). Let s = o + 33. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 378775 is divided by 378756.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the second derivative of -9*o**6\/20 - 13*o**5\/10 - 10*o**4\/9 - 4*o**3\/9 - 2*o**2 - 5*o. Let w(k) be the first derivative of a(k). Factor w(f).\nAnswer: -2*(f + 1)*(9*f + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (142\/6)\/((-1)\/3) - (-90)\/(31 + -40)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3691938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 + -13. Let t be (s - -8) + 1*87. Suppose c + 101 = h + 3*h, t = 4*h - 5*c. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 143\/12 and 101\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h = 26*i - 31*i + 85, 117 = 6*h + i for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 3, g: 12, z: 1, b: 2, s: 2}. What is prob of sequence bsw?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-230)\/322)\/(18\/(-21))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 2*n**2 - 3*n**2 - 2*n + 2 + 2*n**2. Let l be z(0). Calculate the greatest common factor of l and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes before 10:53 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4.045 - 0.045. Let j = -13 + z. Let d = -43 + 171\/4. What is the third biggest value in d, 0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/5 in -1\/64, -1, -0.4, -0.3, 4?\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 7*k**3 - 2*k**2 - k. Suppose 4*w - 10 = -3*g, 2*g - 3*w + 1 = 2*w. Calculate r(g).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5064 divided by -844.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 26465\/16 + -1654. Let a(n) be the first derivative of 3\/8*n**2 + 1\/2*n - k*n**4 + 0*n**3 + 9. Find v such that a(v) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -30 - (-3 + -29) - (-13 - -2 - -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**3 + 6*r**2 + 7*r + 9. Let t = 470 + -547. Let z be (t\/308)\/(1\/(-28)). Calculate c(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m - 31 - 2*m + 215.\nAnswer: -m + 184","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -289959 or -290015?\nAnswer: -290015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13.1 + 13. Let z = 0.9 - d. Which is the biggest value?  (a) 0.5  (b) z  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 1.2875\nAnswer: -2.7125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 322668848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.01?  (a) -0.2  (b) 134  (c) 3  (d) -4  (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 498890\/(-36) - (3 - 1). Let n = k - -13853. What is the common denominator of n and 39\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -2*c - 2\/7*c**2 - 20\/7 = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 0 = 11. Let b be s\/(-22) + 2\/(-4). What are the prime factors of b\/2*(2 - 48)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -1 + 0*v - 2 + 6*v. Let b = -385383 - -385385. Determine j(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**3 + 22*b**2 - 25*b + 90. Suppose -32 = -8*p + 136. Let v be q(p). Solve -4*u = -2*o - 14 + v, 2*u - 12 = -3*o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 327 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 + 0)*(-35938 - 36457 + 73738)*(3*d - 4*d + 2*d).\nAnswer: 2686*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 13*v + 60. Suppose -v*a + 4*p = -11*a + 2080, 3*a - 1248 = -3*p. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 2.3, -5, 3, 4\/5?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + -2*sqrt(588)*-2 - -5*(-2*(-1 + sqrt(588)) + sqrt(588))) + 2 + -2)**2.\nAnswer: -252*sqrt(3) + 669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2157*s**2\/2 - s.\nAnswer: -s*(2157*s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 - 160?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59450 is divided by 4091?\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -475 - -471.278. Let o = j + 0.022. What is the closest to -1 in -3, o, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, l: 1, u: 1, y: 2, n: 2}. What is prob of sequence mnu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -60*s**2 - 32*s + 32*s + 410*s**2 + 23*s**2 to the form z + j*s**2 + d*s and give j.\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the first derivative of -3*a**3 + a**3 - 7 - 2. Let f(m) = -5*m. Calculate y(f(x)).\nAnswer: -150*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*m - 71*m = -3*j + 17, 0 = -4*m - 7*j + 83 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 85 - 6. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.705685 rounded to three dps?\nAnswer: 2.706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 + 7. Let t = 1 + g. Let x be (-16)\/(-2)*t\/4. Solve r + 1 = -x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1, 2, 4285, 128.\nAnswer: -4, -1, 2, 128, 4285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1*-10994076\nAnswer: -10994076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, r: 3, x: 1, b: 5}. What is prob of sequence rri?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(22)\/sqrt(2))**2 + 3 - (sqrt(11) + sqrt(11) + sqrt(11) + 0 + sqrt(11) + 4)) + ((1*sqrt(77))\/sqrt(7) + sqrt(11))**2*-3.\nAnswer: -122 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/756 and -52\/315.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -32*z + 42. Let t(h) = 5*h - 8. Let o(w) = -3*s(w) - 16*t(w). Let x(f) = 16*f + 3. Give 3*o(r) - 2*x(r).\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 781781 and 225225.\nAnswer: 175900725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 14*i**2 + i - 35. Let y(u) = u**2 - 33*u + 108. Let l be y(29). Is c(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*v - 109 + 77 = -2*s, -3*s - 32 = 7*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**2 - 14*x - 10. Let b be q(-12). Let a(o) = 63*o. Let z be a(2). What is the highest common factor of b and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22, -9807\/2, -3\/2 in decreasing order.\nAnswer: 22, -3\/2, -9807\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -331 + 331. Suppose 3*i - 1138 - 5591 = a. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -196 + 200. Suppose -35 = -5*l - 15, -4*l - 1388 = -s*r. What are the prime factors of r?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 193.0355t to nanograms.\nAnswer: 193035500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -104 - -177. Let w = a + -70. Solve -r = w*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.02 + 0.78. Let l = -0.5 + p. What is the smallest value in -0.1, l, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z - 3. Let q be c(3). Suppose 4*i = -75 - 125. Calculate the remainder when 23 is divided by i\/q - (-1)\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 0.4  (b) -0.2  (c) 0.6  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -2*r + 2. Let w be p(-7). Let j = w - 10. Let g(h) = -h**3 + 5*h**2 + 8*h - 7. What is g(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 29226153 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f - 1 + 25 = 0. Suppose -5 = -32*o + 31*o. Solve -o*z = -f - 22 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 97436?\nAnswer: 2, 24359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i - 5*o + 968, -576 - 416 = -4*i + o. Let k = 370 - i. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.06 from -2.67727306967.\nAnswer: -2.73727306967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -12, 7, -65 in descending order.\nAnswer: 9, 7, -12, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.15182 less than -0.133911986?\nAnswer: -0.285731986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -90.1 + 94. Let f = -17 + 21. Let n = f - y. What is the smallest value in -3, n, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v**3\/6 - 67*v**2\/6 + 128*v\/3 - 42 = 0. What is v?\nAnswer: 2, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11688163799\/1688 + 6924268. Let c = x + 6\/211. Put 4, -0.2, c, 1\/6 in decreasing order.\nAnswer: 4, c, 1\/6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/40  (b) -11\/12  (c) -4\/53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 51  (b) 5\/8  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -50 divided by -3547.\nAnswer: 50\/3547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 31*a - 2. Let y(i) = -2*i**2. What is y(r(t))?\nAnswer: -1922*t**2 + 248*t - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24)\/((-720)\/(-3 - -33)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1261644 is divided by 203.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -2210244 (base 5) to base 15\nAnswer: -b4b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 4*u + 10 = 0, 3*t - 7 - 14 = 3*u. Let m = t + -4. Find the second derivative of a + 0*a + m*a - 4*a**4 - 6*a wrt a.\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 62 - ((-9 - -25) + (3 - -10)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {j: 1, b: 1, k: 1, q: 1, y: 2, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5)\/(-4) + 2\/(-4). Suppose -996 - 1137 = 384*w - 597. Which is the closest to 2\/7?  (a) 1  (b) z  (c) w  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1\/7)\/((c*c**2)\/c))\/((c\/(c\/c**(-4)))\/(c**5\/c)) assuming c is positive.\nAnswer: c**(41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117) - sqrt(13))*-1 + (sqrt(130)\/sqrt(160))**2 + (sqrt(156)\/(-2*sqrt(12)))**2 + -2*sqrt(13)*2.\nAnswer: -6*sqrt(13) + 65\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -174000 divided by -120\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-175)\/7*490\/(-196)*(6\/2)\/15.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 103 <= 107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1907\/7 - -273. Let y(x) = x + 3. Let j be y(0). Which is the nearest to -1\/4?  (a) 2\/13  (b) j  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Express -13 - 3*w**2 - 5*w**3 - 45*w - w**4 + 4*w**2 + 3*w**3 + 18 + 0*w**3 as o*w**4 + l*w**3 + n*w**2 + j + u*w and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 288100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8901 and 1024002?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -45, -86, -155, -252, -377, -530?\n\"Answer: -14*g**2 + g - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 3 h when four letters picked without replacement from {h: 17, d: 2}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*s - 3 = 55*s. Suppose s*t = 8*t - 135. What is the lowest common multiple of 1 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r**4 + 394676*r**3 - 4341600*r**2 + 15393132*r - 17761410 = 0.\nAnswer: -197349, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppppeppeepp. What is prob of sequence pe?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8655 + -8652. Which is the closest to 8?  (a) 1\/8  (b) -1\/3  (c) z  (d) 0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-10))\/3*(-165)\/198?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**3 - 18*g**2 + 40*g + 48. Determine p(-19).\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, y: 7}. What is prob of sequence lyyy?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 3*y)*(-1 + 6 - 3)*(-2 - 3 - 6) + 3*y - 2*y + y + (-1 + 5 - 2)*(y - y - y) - 2*y - 3 + 3 - y + 1 - 1.\nAnswer: -69*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - b = -2*b + 2, -3*q - 2*b = -4. Let w be 11 - q - (-6 + 8). What is the least common multiple of (1*-3)\/(w\/(-60)) and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 48 and 3088.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 231131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 466 + -467.93. Let b = y + -0.07. Let n = 3 + -3. What is the second biggest value in b, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 88547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -5 + (10 - 8 - 44\/2). Let f be 16*t\/(-4)*(-2768 + -2). What is f rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 25 = -4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*c - c - 165 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 400*k**2 - 170. Let b(x) = 11*x**2 + 5. Let y(v) = 3*v**2 + 1. Let t(w) = 4*b(w) - 17*y(w). What is 6*o(r) + 340*t(r)?\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 6469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = 3*o - 5*c, 0 = 4*o + 4*c - 5 - 27 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/8  (b) 0  (c) 2  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 272*z - 282*z + 180 = 0. Suppose -z*o = 2*o - 28860. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*v - 11 + 11 = 0. Suppose -5*k - 704 = -4*g - 4*k, -g + 3*k + 176 = v. What is the greatest common divisor of 16 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 920 - 818 = 17*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**1\/y)**21)**(-7\/2)\/((y**8\/y**1)\/(y**1)**(-49)) assuming y is positive.\nAnswer: y**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1656440, 3312898, 4969352, 6625802, 8282248, 9938690, 11595128?\n\"Answer: -2*a**2 + 1656464*a - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6930*h**4 + h - 1536 wrt h.\nAnswer: 27720*h**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 24.94*-0.21\nAnswer: -5.2374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*s - 14 + 14.\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-36)\/(-198) - 42\/(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -168, -171, -172, -171, -168, -163?\n\"Answer: s**2 - 6*s - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 644 - 255. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 2, 2\/7, -5, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3635, -6379, -8241, -9221, -9319, -8535, -6869?\nAnswer: -4321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c - 27 = -s, 4*c + 255 - 337 = -6*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-2)\/6 + 1)*6. Suppose -2*l - 52 = -28*l. Solve -l*v + 10 = 2*b - 0*v, z*v = -b + 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the second derivative of -v**3\/6 + 8*v**2 - 9*v. Let d be j(14). Differentiate 7*g**2 - 17*g**d + 9 + 3 - 4 with respect to g.\nAnswer: -20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -50 + 53. Let k = 92 + -95. Sort k, -1, r, 0.3 in descending order.\nAnswer: r, 0.3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 44\/7 - 6. Let t = 1.7 + -1.8. What is the nearest to t in -3\/2, z, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 133930334.27 rounded to the nearest one thousand?\nAnswer: 133930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 13*r**3 + 1. Let f be n(-1). Let x be (-290)\/f + (-1)\/6. Let v be ((-648)\/(-3))\/(-3 + 4). Calculate the greatest common divisor of v and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 267 + 54. Suppose -16 = 4*o, -3*q + 2*o + v = -0*q. Let k = 27 - q. What is the remainder when k is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {g: 2, p: 10}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (2*(-23)\/((-2691)\/18))\/1?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1518296 + -2317796. Round k to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + b = 0. Suppose 0 = -3*s - b*s + 12. Let y = 25 - s. Solve y = 4*z - 2*d - d, 2*z - 3*d - 15 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 81033 + -81034. Let s = 0.2 + 0.8. Let u = 0 + s. Which is the third biggest value?  (a) -4  (b) z  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + 21202?\nAnswer: 21122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in fourty-six fifths of a gram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 190 = -5*t, -108 = -t - 2*t + i. What is the remainder when t is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 799453532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 278*a - 6*a**2 + 4*a**2 + 9*a**2 as w + c*a**2 + t*a and give t.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 7667 equal to 7656?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2160 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 568.7967 decades in months?\nAnswer: 68255.604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10010100010 + -1110111?\nAnswer: -10100011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -67, -2, -40, -4, 1, -3 in ascending order.\nAnswer: -67, -40, -4, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 17, 7, -5, -19, -35, -53?\n\"Answer: -m**2 - 7*m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*((-58)\/290)\/((-22)\/100).\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-152*h + 379*h - 790*h)*(-3*h + 3*h - 5*h**3) to r*h**4 + g + y*h**3 + b*h + z*h**2 and give r.\nAnswer: 2815","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -30*((-897)\/(-91) - 10)*(-35)\/10\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46236*y**3 + 0*y**2 - 46224*y**3 - 3*y**2 + 3*y**2.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 7*t**2 + 9*t - 3. Let g(z) = -z**2 - z + 1. What is 5*g(r) + s(r)?\nAnswer: 2*r**2 + 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 divided by -5.\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9 - 6. Factor 5*s**5 + 29*s + 45*s**u - 29*s + 20*s**2 + 30*s**4.\nAnswer: 5*s**2*(s + 1)**2*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (15\/(-4))\/(63\/(-84)). Suppose 7*x + 23 = p + 12*x, -11 = -w*p + x. Let r = -960\/7 - -138. Put r, p, 5, -5 in descending order.\nAnswer: 5, p, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of 13*d**4\/6 - 5*d**3\/6 - 5*d**2 + 2*d + 25. List the prime factors of y(-2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (24 + 6 - 10 - 15) + -25 + 2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) 70\/44251  (c) 1  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkfffk. What is prob of sequence ffk?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**3 + 41*a**2 - 39*a + 138. Give n(-42).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -102 + 159. Let g = 93 - s. Let j = g + -36.0165. Round j to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2762 - 1964. Calculate the greatest common factor of 304 and o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n + 7. Suppose 2*h = 3*v + 20 + 6, -5*h = 3*v - 44. Calculate w(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 19 and 45353.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -19*b + 229. Let q be o(12). Let n be (-4 - (-318 + 5)) + 1\/q. What is the highest common divisor of 30 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16.9782 - 60121\nAnswer: -60137.9782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -44\/135 and -53\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.059  (b) 5  (c) 1\/4  (d) 2  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -4*y**2 - 17*y. Let n(s) = s**2. Give o(n(c)).\nAnswer: -4*c**4 - 17*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 218*w - 2 - w**2 - 217*w - 7*w**3 + 11*w**4 - 10*w**4 to the form r*w**3 + n + c*w + a*w**4 + s*w**2 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sshp when four letters picked without replacement from {p: 1, w: 1, d: 1, h: 4, x: 3, s: 2}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(325) + 1*sqrt(325)*2 + 2*sqrt(104)\/sqrt(2))*-2)**2*-3.\nAnswer: -56316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**2 + 3*k - 3. Suppose 0 = 2*a - 2*s - 226, -4*a = -3*a + 5*s - 83. Let b = a - 97. Suppose i = -3*r + b, 5*r + 5*i - 11 - 24 = 0. Give q(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 3*x. Suppose -5*l = y - 12, -4*l + 0*l = -y - 15. Let c(b) be the second derivative of 0*b**l + 1\/12*b**4 + 0 + 0*b**2 + 4*b. What is c(o(r))?\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-3 + -2*sqrt(12) + sqrt(300) + sqrt(300)*2).\nAnswer: -12 + 104*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -4, 4, -164?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, 42, -14, -4, -1 in increasing order.\nAnswer: -17, -14, -4, -1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4028 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (90\/(-3))\/(-3)*2\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4911 divided by -3.\nAnswer: -1637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*q - 1247 + 1247 + 6*q**3 + 0*q.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -159245, -159238, -159229, -159218, -159205, -159190?\nAnswer: -159173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 1377*r**5\/4 - 12006*r**4 - 37948*r**3 + 28087*r**2\/2 + 110415*r\/4 - 24075\/2 = 0.\nAnswer: -3, -1, 5\/9, 642\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 2131103031 (base 4) to base 6\nAnswer: 21450513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29186.\nAnswer: 2, 14593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:08 AM and 9:52 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - -4) + -5 - (-3 + 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 53*z - 28 = 55*z, 5*u = 3*z + 52 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1754 - 4379. Let r be u\/((-1)\/2472*9). Round r to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16 + -11. Suppose -m - b + 8 = 0. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 427650, 1710673, 3849052, 6842781, 10691854, 15396265?\nAnswer: 20956008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -7*p**3 + 3*p**2 + 3*p + 3. Let i(j) = 14*j**3 - 5*j**2 - 5*j - 5. Give 3*i(z) + 5*w(z).\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2.1 and 8445.55?\nAnswer: 8443.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -3 + 0 - y**2 + 4 + y. What is w(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 6  (b) -5  (c) -0.3  (d) 3341  (e) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57 = -3*z - 2*z + 7*h - 10*h, 25*h - 515 = 4*z - 40 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*r + 0*r + 72525 + 72519 + 2*r**3 - 145044.\nAnswer: 2*r**3 + 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**3 - 5*u**2 + 5*u + 1. Let w be a(4). Suppose -b + 0*t = -w*t + 12, 0 = t - 2. Let q(l) = -69*l**3 - 2*l**2 - 3. Is q(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26649509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 58 - 34. Let j = -19 + w. Suppose -3*m + 4 = -j. Solve 4*h - m*g + 13 = -0*g, h + 8 = -4*g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 6*u**2 + 90*u - 596. Let y be l(-20). Solve -b + 0 + 5 = -t, 0 = -5*t + y*b - 21 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 30 = -39. Suppose -14\/5*i + 8\/5*i**k - 16\/5*i**4 + 6\/5*i**5 + 4\/5 + 12\/5*i**2 = 0. What is i?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 6*s = 4*u - 20, -3*u + 7 = -s. What is the highest common factor of 687 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-4))\/(1*(-3)\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1284653 greater than or equal to -1284651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes after 12:17 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7 and 101801.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(891) - ((-1*sqrt(891) - sqrt(891))**2 - sqrt(891) - sqrt(891))).\nAnswer: -54*sqrt(11) + 7128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x**2\/5 + 684554*x\/5 + 684556\/5 = 0 for x.\nAnswer: -1, 342278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 + 296?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06907298 rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jffytyfffyqfjfjffr. Give prob of picking 1 q, 1 t, and 1 r.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1208 + 20885?\nAnswer: 1e67c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 78982131637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the first derivative of 2*d**3\/3 + 1. Let j be 3\/12*(30\/2 + 1). Let g(v) = -j*v - 71 + 71. Give n(g(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 minutes after 9:44 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -463 - -486. Calculate the remainder when 226 is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -243*u**3 - 4*u**2 + 40*u + 116. Is i(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3288\/5 - -658. Factor -6\/5 - j*s**2 - 8\/5*s.\nAnswer: -2*(s + 1)*(s + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/3, -2\/39, 0.01, -25108?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -5, -727, 143 in decreasing order.\nAnswer: 143, 5, -5, -727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/287388 and -76\/10593.\nAnswer: 338255676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 918, 1905, 2916, 3951, 5010?\nAnswer: 6093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 - z**2 + 0 - 15*z**3 + 17*z**3 - z**2 to q + h*z**2 + d*z + j*z**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-13 - (-9 + 10 - 3) - 10) + -2\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggau when four letters picked without replacement from ocgccacqcguag.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**3 - 8*n**2 + 8*n - 2. Let r = 6 + 1. Let j be d(r). Let z be -20*(5\/2 - 5). What is the highest common divisor of z and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -188 - -224. Let h be 2 + (t\/4 - 1). Solve 2 = 4*v + h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -1540 + 5\/3*z**4 + 1135\/3*z**2 + 200\/3*z**3 - 800\/3*z = 0.\nAnswer: -33, -7, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10426*j**3\/3 + 101153054*j**2\/9 - 33709414*j\/3 + 6466\/9 = 0. Calculate j.\nAnswer: 1\/15639, 1, 3233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a**2 - 6*a**2 + 5*a**2 + (25*a - 14 + 14)*(-38*a - 159 + 159))*(0 + 4 - 1)*(-4*a + 3*a + 2*a).\nAnswer: -2856*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 34 + -30. Let f be 1\/n - ((-1494)\/(-24) + 2). Is -64 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 17*q**2 + 21952*q - 88080.\nAnswer: (q - 4)*(17*q + 22020)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 264 = l + 48*l + 17*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 125 + -116. Suppose 0 = -3*t - r*t - 72. What is the common denominator of 4\/t + (11\/9 - 5) and -109\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 217209151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + l - 12 = -0*l, -5*l + 4 = 4*i. Let c be 1*2\/i*-4. Let y = 9 - 9.2. What is the closest to 4 in c, 0.4, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-12*d + 20*d - 12*d)*(-d - 7*d - d) to the form s*d**2 + j + q*d and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 12 = -6*b. What is the units digit of ((-46)\/(-6))\/(b\/27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in -4\/9, 0.5, 0.304, -12\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 4*v + 13, 5*b + 40 = -9*v + 6*v. Let x = b + 29. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 4*k = -19, u - 2*k = -0*k + 11. Suppose y + 3*y - 2*f - 1176 = 0, -4*f + 882 = u*y. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1833900 rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -30 in 10\/7, 1\/15, 0.06, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 4*h**2 - 32*h - 6. Let n(v) = v**2 - 1. Determine 3*n(x) - w(x).\nAnswer: -x**2 + 32*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -211 + 14516?\nAnswer: 14305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 7460419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 m when two letters picked without replacement from {o: 1, v: 4, m: 6, q: 3}?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 4 = 3. Suppose 0 = s - 3 + g. Let m be ((-2)\/s)\/(1\/(-10)). Put 0, -3\/4, m in decreasing order.\nAnswer: 0, -3\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:33 PM and 6:15 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1729695 and 4840.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -29464849 minus -0.4?\nAnswer: -29464848.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -303?  (a) 738  (b) 0.0277  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**3 + 4*h**2 + 2*h + 2. Let k be t(-3). Suppose -b + 2*d - 2 = -k*b, -2*b = -d - 11. Calculate the least common multiple of b and 13.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.4 + 1.4. Let q = 0.5 - a. Let y = -7 - -12. What is the third biggest value in q, -3\/4, y?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o + 1. Let q(b) be the first derivative of -b**3\/3 - 4*b**2 - 2*b + 1. Let g(z) = q(z) + 3*y(z). What is the units digit of g(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1181254787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 386, 1506, 3368, 5978, 9342, 13466, 18356?\n\"Answer: o**3 + 365*o**2 + 18*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 117 and 250784053.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99*h + 128 = -95*h. What is the highest common divisor of 3872 and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 165476056.\nAnswer: 2, 131, 157897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 150851 less than 150851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 66772 or 0?\nAnswer: 66772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94087*o - 94560*o = 37840 for o.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 739.69989812 + -739.7. Round q to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5899586 is divided by 5899516.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 111413 (base 8) to base 12\nAnswer: 1994b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-5)*h*h**2*h*(h**(3\/5))**(6\/17) assuming h is positive.\nAnswer: h**(-67\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**2 + 13*w + 2. What is the least common multiple of 24 and a(13)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -114597 = 27*h - 36*h. Let f = 343739\/27 - h. Which is greater: f or -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 504234941 + -64.\nAnswer: 504234877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58*w**2 - 4*w**2 - 29*w**4 - 130*w**3 - 33*w**2 - 26*w**4 + 66*w - 86*w = 0. Calculate w.\nAnswer: -1, -4\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -6*j**2 - 5*j + 5. Give n(3).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 divided by 64?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1557  (b) 4  (c) 0.4  (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.006 - -4.006. What is the smallest value in l, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 9*y**3 + 14*y**2 + 8*y. Let n(b) be the second derivative of 3*b**5\/20 + 5*b**4\/12 + b**3\/2 - 17*b. What is -3*i(d) + 8*n(d)?\nAnswer: -3*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 5, b: 8, y: 3}. Give prob of sequence lb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/6 - (-82)\/(-123). Let g be ((-200)\/(-15) + 0)*n\/(-4). Factor -6*a**2 + 8*a**3 + 0 + 4\/3*a - g*a**4.\nAnswer: -2*a*(a - 1)**2*(5*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -502*m - 1284*m + 112518 = 0 for m.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 8:35 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(44) + sqrt(132)\/(sqrt(12)*-1))*3)**2.\nAnswer: -18*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -907 + 907 - 13*a**2 - 7*a**4 - 2*a**4 + a**4 + 0*a**4 + (-1 + 3*a + 1)*(-3*a**3 + 0*a**3 + 2*a**3) as h*a**4 + m + x*a**2 + d*a + b*a**3 and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f + 2 = -4*w, 2*w + 2*f - 87 + 89 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2165 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*j - 294 = 137*j. Let b(s) = -6*s - 8. Let l(r) = 7*r + 9. Let w(h) = 4*b(h) + 3*l(h). Determine w(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -20 in -0.4, 1, 0, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 2*z + 14 = -3*v, 2*z = -6. Let b = v + 6. Suppose -i - 2*i = -3. Is i greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(44)\/sqrt(4) + 4 + 3 + -2*sqrt(11).\nAnswer: -sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 570\/5*389\/(-3501)\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 + 13*l**2 + 14*l + 14. Let u(w) = -3*w**3 - 38*w**2 - 41*w - 43. Let b(g) = -11*k(g) - 4*u(g). Let v be b(-8). Are v and 8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 486817, 973596, 1460375?\n\"Answer: 486779*k + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 598878*o - 556016 wrt o.\nAnswer: 598878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2833997 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -2935*f**3 - 15*f + 8. Let c(h) = -2201*h**3 - 11*h + 6. Give 11*c(j) - 8*z(j).\nAnswer: -731*j**3 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the third derivative of -513*m**4\/4 - 2569*m**3\/6 + 2*m**2 + 302. Differentiate y(z) with respect to z.\nAnswer: -3078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*i + 9*i = 192. Let n be 1\/(-4) + (-1 - 102\/i). Solve 4 = -n*r + 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = u + 3, -5*j + 24 = 2*u. What is the third derivative of -5*q**2 + 2*q**2 + 2*q**j + 2*q**2 wrt q?\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -525*h + 318.\nAnswer: -525","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 28 - 28. What is the nearest to 0 in 1, p, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-740)\/444*182\/(-1120)*-8?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2744 - 1499. What is the remainder when n is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -10*k**3 + k**2 + k - 2. What is i(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2 + 6*y. Let x be 88\/(-14) - (-6)\/21. Let t be r(x). Suppose d + 472 + 2228 = t. Round d to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kd when two letters picked without replacement from ogdqpddqdqqkdqkdkqqd?\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (651\/(-248))\/((-6)\/(-20)*(-10)\/(-4)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/78*69849\/(-105669)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8\/2*(1 + 0). Suppose f = m + m. Suppose -2*l - 3*l = -m*u + 1979, 0 = 4*l + 20. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18469940, 18469938, 18469936, 18469934, 18469932, 18469930?\nAnswer: 18469928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 181 - 908\/5. Let c = 0.0994 - 3.0994. Is c < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 65664*b**2. Let q(c) = 43*c. Calculate q(n(x)).\nAnswer: 2823552*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2981 + -2974. Let m(v) = v**2 - 11*v. Determine m(h).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 8  (b) -3  (c) -0.4  (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*m**6 + 1952*m**5 - 5203*m**2 wrt m.\nAnswer: 480*m**3 + 117120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5379606269?\nAnswer: 41, 131209909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 + (2 + -64)*6\/12. What are the prime factors of (-8260)\/y - (-4)\/6?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4420322 (base 6) to base 7\nAnswer: -1605455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12, 24, 130, 342, 696, 1228, 1974, 2970?\nAnswer: 4252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the second derivative of -3\/4*g**3 + 0 + 3\/4*g**2 - 1\/8*g**4 + 9\/40*g**5 - 5*g. Suppose q(f) = 0. Calculate f.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 45 + -19 + (1 - 3). What is the greatest common factor of 2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -106 - 77 - 6*z + 183.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 350 divide 1599500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1811774563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0.03, -349, 0.4, -3\/7, -0.3 in decreasing order.\nAnswer: 1, 0.4, 0.03, -0.3, -3\/7, -349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/6)\/((-4)\/(-6) - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g**2\/7 + 14599890*g\/7 + 17763065667675\/7 = 0. What is g?\nAnswer: -2433315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -21200, -84734, -190624, -338870, -529472, -762430?\n\"Answer: -21178*q**2 - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 14 = -4*r + 4*i, 5*r + 5*i = -5. Suppose -r*a - 11 = -b + 31, a = 5*b - 246. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**3 + u**2 + u + 8. Let j = 5 - 3. Suppose 4*l = j*l. Give z(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 46667754*l**3*y**3 + 7297683*l**3*y**2 + 9*l*y**2 wrt y.\nAnswer: 280006524*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -h - 2 - 2*h + 23*h**4 - 2*h**2 - 66*h - 23*h**4 + 87*h**5 wrt h?\nAnswer: 1740*h**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 937 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -67.919 + -0.081. Let u = -62 - p. Is 4 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j + 0*j + j**3)*(-3 + j + 3) - 40*j**3 + 40*j**3 + 8*j**4.\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:48 PM and 10:34 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*z - 516 = 357. Suppose 100*p = -s + z*p + 56, -s = -3*p - 44. What is the highest common divisor of s and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (5 - (-2 - -5) - -88)*(-3264)\/(-40) a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -85712 + 133056. What are the prime factors of p?\nAnswer: 2, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1102*t**5 - 5*t**4 - 13*t**3 - 1573883*t**2.\nAnswer: 66120*t**2 - 120*t - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 674 + -664. Let u(z) = z**3 + 8*z**2 - 3*z + 2. Let g be u(-7). Suppose 4*v - a*v = -g. Calculate the lowest common multiple of v and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0092 + -2576007.\nAnswer: -2576006.9908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + -1 + 1 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 + 75*i**2 - 137*i - 145. Is q(56) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**3 - 8*m**2 - m - 10. Let x be k(-8). Let w = -0.06 - -4.06. Which is the biggest value?  (a) x  (b) w  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 21 + -17. Let p = 8.5 + 1.5. Let m = p - 5. What is the smallest value in v, m, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-15))\/(-1)*(-11 - 266\/(-28)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-65)\/10 - (-80 - -75). Let n = -17 - -9. Which is the nearest to -1?  (a) g  (b) 0.2  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (-7 - -5 - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (88\/(-99))\/((-8)\/72).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 + 0 = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 33.526 + -5.556. Let h = 28 - w. What is the second biggest value in 3, -1\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 16.47916 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-276*g**2 + 276*g**2 + 128*g**4)*(-4 + 2 + 3).\nAnswer: 128*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 52200838 and 1438.\nAnswer: 1438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 81491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2019.\nAnswer: 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 16 - 6 = 0. Solve 2*j + t*m - 1 = -3, 4*j - 18 = m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -8, 7.7, 2\/5, 0.06?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f. Suppose 75*y + 10 = 65*y. Let j(t) = -61*t + 5. Let b(m) = y*d(m) + j(m). What is the first derivative of b(o) wrt o?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.9 times -1572071?\nAnswer: 1414863.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 23620 and 14172?\nAnswer: 70860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112*y + 17092 = 211*y - 4226. What is the greatest common divisor of 3762 and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 66.879 and -42.\nAnswer: -2808.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 3 - v + 4*v**2 - 3 - 1. Let w be n(-1). Let x be (w\/10)\/(8\/10). Which is bigger: -2\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s*(s*s**(1\/5)*s)\/s*s*s*s\/s**0)**(-1\/18) assuming s is positive.\nAnswer: s**(-31\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(684)*-1)**2 + (sqrt(684) + -1 + sqrt(684))*2 + ((sqrt(684) - (sqrt(684) - (sqrt(684) - (sqrt(684) + 2))))**2*5 - (2 + 2 + sqrt(684))).\nAnswer: 18*sqrt(19) + 696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8.69 + 7.517. What is b rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -140*-2.7\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 2*x + 7, x + 3*x - 3*u + 15 = 0. Suppose m + 3*m + 4 = -4*n, -1 = -2*n - 5*m. Let t = n - x. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 434782 and -0.1.\nAnswer: -43478.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 42 - -15. Calculate the remainder when t is divided by 41.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/323  (b) 5  (c) -0.3  (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 - 1. Let k = -4 + 4. Which is the smallest value?  (a) f  (b) k  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes before 8:09 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 166 + 86. Suppose -4*v + 524 = -q - q, -2*v - 4*q = -c. Let z = v - 97. Do z and 32 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14.68 + 56.68. Sort -1\/7, 3, 5, j in decreasing order.\nAnswer: j, 5, 3, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 710077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-15)\/(-90))\/((-10)\/45).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 849737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b + 1. Let k(c) = 5*c - 5. Let q(a) = k(a) + 6*p(a). Determine q(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*w + 4*g - 6 - 2, w - 2 = g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g**14\/g))\/(g\/g**5) assuming g is positive.\nAnswer: g**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 309, 2406, 8071, 19080, 37209?\nAnswer: 64234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2237639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 174706 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: What is the greatest common divisor of 13176697 and 1402?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 763310?\nAnswer: 2, 5, 37, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + i = -180. Let n be i\/(-12) + 3\/12. Solve 2 = n*a - 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 143, 5, -4, -56, -203, -3 in decreasing order.\nAnswer: 143, 5, -3, -4, -56, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 9696061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*y**5 - y + y + (-y**2 - 2*y**2 + y**2)*(4*y**3 - 2*y**3 - 3*y**3) - y**5 + 2*y**5 + 0*y**5 - 2*y**5 + 0*y + 0*y - 39*y**5 + 248*y**4 - 248*y**4.\nAnswer: -40*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -2*t + l - 11, -25 = 5*l. Suppose -t - 4 = -5*i. Suppose i*h - 54 = -5*a, -2*h + 5*a = -4 - 38. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w = 3*b, -b + 7 = -2*w + 6*w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 minus 87.8?\nAnswer: -87.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 4*z - 32. What is the third derivative of 9*v**4 - 13*v**4 + 2*v**2 - z*v**2 + 18*v**2 wrt v?\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 8, n: 5}. What is prob of picking 3 n?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = -2*u + 6*u + 3*x, 2*u = x + 20. Let f(n) = -15*n - 9. Let i(j) = 3*j + 2. Let s(p) = u*i(p) + 2*f(p). Differentiate s(v) wrt v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**3 - 16*o**2 - 3*o + 53. Let t be v(16). Let f(h) = h**3 - 6*h**2 + 4*h - 2. Calculate f(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 27 = -3*l, c + 14 = l - 2*c. Let r be (26 + 2)\/((-18)\/(-27))*1. Let n = -42 + r. What is the nearest to 2 in l, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5 + -4)\/((-4)\/(240\/(-220)))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**2 + 4 - 32*y + 2 + 26*y + 2. Determine u(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 37083774 and 2886.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -j**3 - 16*j**2 - 77*j - 98 = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -313*s**3 + s**2 + 4*s + 3. Is l(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -2070, -2068, -2056, -2028, -1978, -1900?\n\"Answer: i**3 - i**2 - 2*i - 2068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**3 + 45*k**2 - 120*k + 1075. Let i be p(41). What is the second biggest value in 4, 0.5, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, -8073, 32 in increasing order.\nAnswer: -8073, -17, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 12*g**2 + 1050*g + 8245. Give a(-8).\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -187.2834 to 0 decimal places.\nAnswer: -187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -5*f + 1 + 24, -4*i - 15 = -3*f. Let n = -6 - -11. Suppose -n*c = -i*c - 520. Calculate the greatest common divisor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -4, 20, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = 12, 0 = 3*r + p + 3*p - 290. Suppose x - 3*z - 26 = 24, -2*x = -4*z - r. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 3 + sqrt(1300) + 0)**2 + ((sqrt(78) + sqrt(78)*1)*1 - sqrt(78))\/(sqrt(6) - (sqrt(6) - sqrt(24)\/(sqrt(4)*2))).\nAnswer: 62*sqrt(13) + 1309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1 - -37 - (-59 + 234 + -196)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -35 + 1?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10291 and 22837.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 55861 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.1447021 rounded to 1 dp?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -21 + 34. Let k be 2\/(-8) - 81\/12. Let g = t + k. 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 n(k) = k**3 + 3*k**2 - 5*k + 29. Let w be n(-5). Solve -6*a + w*a = 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 take away 0.046?\nAnswer: -4.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4977 and 559083.\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 231201 and 150201?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1518022, 1518021, 1518020, 1518019?\n\"Answer: -x + 1518023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u - 3 = 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**2 - 12*c - 1. Let s be a(-12). Let u(v) = -1 - v + 2*v - 3*v. What is u(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 34290?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 67013207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -19*m + 3. Let h be j(6). Let w(o) = o**3 - 6*o**2 + 20. Let f be w(6). Calculate the common denominator of h\/40 + (f\/(-5) - -4) and -101\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7652 + -84170\/11. Let y = -3 - 7. Let f = -17 + 53\/3. Sort y, b, f in ascending order.\nAnswer: y, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 60 and 7485?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -76 + 76.1. Let j = 42 + -125\/3. What is the closest to 0.4 in s, -3\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.08*0.0923\nAnswer: -0.007384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -233, -3, 6 in ascending order.\nAnswer: -233, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 + 3.6. Let d = -124 + 121. Which is the second smallest value?  (a) d  (b) -20  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - 0. Let z = 191676.4 - 191676. What is the second smallest value in p, 2\/17, z?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6.5*-2.092\nAnswer: 13.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -i + 69, -64*q - 11 = -65*q + i. What is the remainder when 125 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 16, -19, -18 in ascending order.\nAnswer: -19, -18, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b**5 - 21*b**4 - 171*b**3 - 675*b**2 - 1296*b - 972 = 0 for b.\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 2*z = -24, 3*x - 40 = -x + 2*z. Let a be (6\/(-4))\/((-4)\/x). Factor 2*u + 2*u**2 + 2\/3 + 2\/3*u**a.\nAnswer: 2*(u + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -3*r**5\/7 - 3*r**4\/7 + 18*r**3\/7 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, -8375 in decreasing order.\nAnswer: 2, -4, -8375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.46 to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the first derivative of -g**3\/3 - 2*g**2 + 10*g - 5. Let j(i) = -i**2 - 3*i + 9. Let c(t) = 5*a(t) - 6*j(t). What are the prime factors of c(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**3 + c**2 + c. Suppose 9*i = 4*i - o, -13 = -3*i + 2*o. Let g(s) = -3*s**3 + 7*s**2 + 3*s. Calculate i*g(x) - 5*w(x).\nAnswer: 2*x**3 + 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*l - 10*l. Suppose u - 2*c - 192 = l, c = u - 260 + 66. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (5*6*(sqrt(68) + (sqrt(68) - (sqrt(68) - 2*sqrt(68)))))\/((sqrt(144)\/sqrt(4))\/sqrt(9) - 6*1*sqrt(4)) + 2)**2.\nAnswer: -36*sqrt(17) + 5509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*n + 4*n + 0*n)*(0*n + 0*n - 2*n**2) - 75*n + 58*n**3 + 75*n)*(17 + 28 - 14).\nAnswer: 1674*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r\/(r\/(r*((r\/(r**(-1)*r)*r)\/r)\/r)))\/r*r*r\/r**(-16\/9))\/(r*r*r\/(r*r\/r**(-1\/17))*r\/r**(-9)) assuming r is positive.\nAnswer: r**(-943\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1*(-68)\/18 - 630\/(-2835). Let y = -9 - -13. Is y != w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2651 + -150?\nAnswer: -3131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 26, 1\/3, -0.3, 3, -0.4?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 4*f + 13, 0 = 6*t - t + 3*f + 7. Suppose 5*y - 2*y - 3 = -4*x, -y = 2*x - t. Suppose -2*c = v - 105, 4*v - 3*c + 2*c - 384 = x. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59 is divided by (-2)\/5*3*90\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that 9*t**3 + 32803*t**2 - 270306*t + 58448 = 0.\nAnswer: -3653, 2\/9, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the third derivative of 5*r**4\/24 - r**3\/2 - 3*r**2. Calculate k(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -2*h**2 + 3*h - 3. Let r(b) = -b**2 + 2*b - 2. Let o(k) = 2*g(k) - 3*r(k). Let d(s) = 0*s - s**2 + 0*s. Give o(d(y)).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -13 - 105?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 + -1002123?\nAnswer: -1002133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are -33036 and -33036 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*d + 20*d - 76*d - 152 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 times -1788218?\nAnswer: -17882180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together -227751482 and 3.\nAnswer: -227751479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 2*y**3 + 49*y**2 - 28*y - 47. Let p be i(-25). Find the first derivative of -c + 6 + 289*c**2 - 29 - p - 299*c**2 wrt c.\nAnswer: -20*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28639465.\nAnswer: 5, 449, 12757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 3 k when four letters picked without replacement from ussusukuukuukusuuu.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7880 - -11601. Which is smaller: m or 3719?\nAnswer: 3719","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 3*(0 + sqrt(98)))*-5.\nAnswer: -105*sqrt(2) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2*l - 18. Let x be b(9). Solve x = -2*z - 2*z - 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-102 - 19 + 15)*(-1 + 4 - 2)*(-2*k + 2 - 2) in the form j*k + m and give j.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 846605278.\nAnswer: 2, 59, 71, 101051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -996?\nAnswer: -5\/996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -23*d**3 + 2*d**2 + d - 4. Give f(2).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, -1\/3, 18, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -174 - -177. Solve -v = -t - 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**2 - 16*d - 30. Let c be a(-14). Let w be (-589600040)\/220 + 1\/((-11)\/c). What is w rounded to the nearest 100000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24 and 115993893?\nAnswer: 927951144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 22*x**2 + x - 2. Is 18 a factor of i(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -3*s + 2. Let x be t(2). Let u be x\/(-24) + 41\/6. Let l(q) = -2*q + 20. Let h be l(u). Which is bigger: h or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 8*w + 2*c + 29 = 0, -4*c = 5*w + 23. Let l(h) = -8636 - 11*h + 4311 - h**2 + 4310. What is the tens digit of l(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -22*q**4 + 25*q**3 - 1604*q wrt q.\nAnswer: -264*q**2 + 150*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + ((-3*(sqrt(114) - (sqrt(114)*-3 + sqrt(114))) - sqrt(114)) + sqrt(114))\/(sqrt(6) - (sqrt(486) + -1*sqrt(486) + sqrt(486) + sqrt(486))))**2.\nAnswer: -54*sqrt(19)\/17 + 4140\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 67\/5 of a decade?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = 343 + 7. Let o = d + 230. Let i be o\/(-18) + (-1)\/(-3). Solve -2*t - 3*p = 22, 0 = 2*t + 5*p + i + 23 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3319 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -47 + 47 - 545024*z**2 + 590450*z**2 as y + a*z + m*z**2 and give m.\nAnswer: 45426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -2*c**2 - 11*c + 5. Let g be a(-4). Suppose -m = -g + 12. Solve 2*o = -m*y + 4 + 15, 0 = -5*o - 4*y + 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbrimiririwbubrbriu. Give prob of picking 1 m, 1 r, and 1 w.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.1 + 3. Let f = -14 - -18. Suppose -o - 3*o - 8 = f*k, 2*o + 4*k + 12 = 0. Which is the second smallest value?  (a) 2\/3  (b) o  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**3 + 78*d**2 + 208*d - 288.\nAnswer: 2*(d - 1)*(d + 4)*(d + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 2*o**3 + 14*o**2 - 26*o - 2. Let p(m) = 10*m**3 + 68*m**2 - 120*m - 11. Determine 11*n(r) - 2*p(r).\nAnswer: 2*r**3 + 18*r**2 - 46*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12131141339 + 12131408225.30021. Let s = i + -266884. Let h = -2.3 + s. Round h to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4+38.0273906498\nAnswer: 37.6273906498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 3 = -2*x. Suppose t - 2*f + 6*f + 9 = 0, f = t - x. Let b be 1\/2*(-1 - t). Solve 4*q + 12 - 4 = b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h - 25 = -1. Let c(z) = 4*z + 2*z**3 + 4 - 3 + z**3. Let u(a) = -8*a**3 - 11*a - 3. Suppose 2*r - r = -11. Give h*u(k) + r*c(k).\nAnswer: -k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 + 16. Let u = -10 + 10. Suppose -59 = -4*m - l, u = l + l + 2. What is the least common multiple of m and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -749, -1503, -2295, -3143, -4065?\nAnswer: -5079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the second derivative of l**4\/12 - 13*l**3\/6 + 8*l**2 - 95*l. Let v(k) = 6*k. Let s be v(2). Let p be h(s). Solve 3*d = -p - 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46682317.\nAnswer: 11, 67, 97, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**3 + 5*t**2 - 2*t + 465. What is the tens digit of g(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 5, r: 1, l: 3}. What is prob of sequence llar?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-2)\/4)\/(11\/(-110)). Put -10\/9, -5, g in ascending order.\nAnswer: -5, -10\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(363)\/(sqrt(11) + (sqrt(132) + 3*sqrt(132))\/sqrt(12) + sqrt(11) - sqrt(11))*-1)\/((sqrt(99) + 6*sqrt(99)*3 + sqrt(99))*6).\nAnswer: -sqrt(3)\/1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 71*c + 4 - 36*c - 32*c. Is n(3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 25*a**2 - 43*a - 266. Is q(-7) a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c + 5*c - 2*c)*(6*c**3 - 6*c**3 + 8*c**4) + (-9*c + 15*c + 10*c)*(-4*c + 4*c - 3*c**4 + (2*c**2 - c**2 - 2*c**2)*(2*c**2 + 2*c**2 - 2*c**2)).\nAnswer: -56*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -25*j**3 + 13*j + 2. Let s be v(-3). Suppose -706 - s = -8*i. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.09879 + -0.01879. Is m >= -28\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 AM and 5:24 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**3 + 18*v**2 - v - 16. Let n be t(-18). What is the second derivative of -7*r**n - 82*r**2 + 222*r + 47*r**2 - 63*r**2 - 52*r wrt r?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mitr when four letters picked without replacement from wiprppmppippptipwppw?\nAnswer: 1\/38760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 + 14*r**2 + 40*r - 54. Calculate n(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80087 = 70*g + 19187. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(-10)*(i\/i**8*i*i)\/i)\/(i**5\/i**(2\/33)) assuming i is positive.\nAnswer: i**(-658\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -81 + 134. Let w = -38 + z. What is the derivative of 2 + w*v**4 + 4 - 4*v**4 - 5 wrt v?\nAnswer: 44*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 921*j**2*t + 16958*j**2 + 315*t - 68030 wrt j?\nAnswer: 1842*j*t + 33916*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 72.85765929 to three dps.\nAnswer: 72.858","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22 and 8778?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**2 + 12*k + 4. Calculate r(11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/(2 - 7\/3). Let v be f*(-3 + (-44)\/6). Find the third derivative of 4*j**4 + v*j**3 + 0*j**4 - 13*j**2 - 31*j**3 wrt j.\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2288\/52 - (3 + 0). Suppose d = 0, -y - 4*d - w + 46 = 0. Factor 0 - 1\/3*b**2 + 1\/3*b**4 + 0*b - 1\/3*b**y + 1\/3*b**3.\nAnswer: -b**2*(b - 1)**2*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -280081 (base 9) in base 16?\nAnswer: -29aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*i - 1. Let s = -3421 - -3421.3. What is the closest to i in 4, 0.6, s?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -91*u - 206. Let p(j) = -33*j - 68. Calculate -4*c(v) + 11*p(v).\nAnswer: v + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -152 + 151.964. Let u = f - -2.036. What is the second biggest value in u, 3, 0.01?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 45315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -217 divided by 31?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1729373231.\nAnswer: 1729373231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-3 - -30)*-1*-23?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (25 - -1)\/((-4)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 1 - 26 = 0. Let z = 17 + -14. Find the first derivative of g**2 - d*g**2 + 4*g**2 + g**z - 5 wrt g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6093 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v**3 - 2*v**3 - 3*v**3 - 2*v**3 - 3*v + 3*v + (3*v**3 - 3*v**3 + 2*v**3)*(0 + 0 - 2) - 129*v - 16*v**3 + 129*v)*(2*v**2 + 2*v**2 - 2*v**2).\nAnswer: -46*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 - -18. Suppose p**2 - p**f + p**3 - p**2 + 0*p**5 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22781879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -91*t - 2. Let s(a) = -957*a - 21. Let j(d) = -21*k(d) + 2*s(d). Let w(z) be the third derivative of -7*z**4\/8 + z**2. Give w(j(g)).\nAnswer: 63*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 165 and 11913?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -86011.\nAnswer: 3\/86011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 792 by 8.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from lklyyvllvklkkkyzwykk.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 96 is divided by 52.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y\/y**(-1))**(1\/2)\/(y**(1\/2)\/y)**(13\/6) assuming y is positive.\nAnswer: y**(31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 330575, 1322123, 2974633, 5288099, 8262515, 11897875?\nAnswer: 16194173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i. Let m(z) be the second derivative of 3*z**4\/2 + 29*z. Determine m(p(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13.84 - 0.16. Let f = 2416 + -21742\/9. What is the smallest value in -0.13, a, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1088)*-1*-3 - (4 + sqrt(1088))*-3) + -5.\nAnswer: 7 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**3\/2 - 28705*o**2\/2 + 14350*o.\nAnswer: 5*o*(o - 5740)*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2587.2 - 2.3.\nAnswer: -2589.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.67 - -936?\nAnswer: 933.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*q**2 - 4*q**2 + 5*q**2)*(-3100 - 143*q**2 + 3099 - 167*q**2) in the form t*q + s*q**2 + m + r*q**4 + y*q**3 and give r.\nAnswer: -1550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.05 and 2.2.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 11 - 43 = 0. Let u be (-1)\/2 + k\/4. Suppose 0*x = -3*z - x + u, -2 = x. Solve 2*w = -0*w - z*t + 17, 2*w - 4*t = -10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0272685468 to three decimal places.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18122 divided by 12533.\nAnswer: 18122\/12533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the second derivative of 5*s**3\/6 - 3*s**2 + s. Suppose -2*r = 2*r + 24. Let y(p) = -241 + 734 - 248 - 240 - 4*p. Determine r*y(z) - 5*g(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 60 + -27. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -36 + 17. Put -4, -5, t in increasing order.\nAnswer: t, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 823 = -2*b + 4*v, -5*b = v - 838. Let n = -1835\/11 + b. What is the nearest to -0.06 in n, -4\/5, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = -0*s + 20. Solve -w = -2*z + s*w + 3, 5*w = 3*z - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 839*q**3 + 6*q**2 + 66*q + 3540. Let t(z) = -2*z**3 + z**2 + 11*z. Let h(o) = d(o) - 6*t(o). Differentiate h(v) with respect to v.\nAnswer: 2553*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 167*x - 85. Let i(d) = 921*d - 425. Calculate 11*g(n) - 2*i(n).\nAnswer: -5*n - 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes after 12:23 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 157*s**3 + 9*s**2 - 13*s + 42. Let r be c(6). What is r rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -86 + 86.194. Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -180231, -180229, -180225, -180219, -180211?\nAnswer: -180201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 - 10 = 3*o + 3*g, 2*o - 15 = 3*g. Suppose 4*q = o*q - 77848. Let r = 19924 - q. Round r to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + j = 2*n + 455, 5*j + 425 = -5*n. What is the units digit of ((-60)\/n)\/(250\/246 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7150236341.\nAnswer: 293, 24403537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4.5 - 0.5. Let u = 58.11 - 58. Let g = u - 0.01. Which is the nearest to g?  (a) l  (b) 2\/9  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.01, -2368, 1\/4 in ascending order.\nAnswer: -2368, -0.01, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 6*k**3 + k**2 + 4*k - 3. Let n(v) = 0*v**3 - 1 - 8*v + 9*v + v**3. Let p(b) = g(b) - 5*n(b). Does 9 divide p(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -188, -173, -158?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9027652 is divided by 250768?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7471179 + 15014376?\nAnswer: 15014376.7471179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-84)\/(-70)*5*(-1)\/6*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 - -157. What is the greatest common factor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 - 2. Let r = s - 7. Let k = 5 + r. Which is the closest to 1?  (a) 2\/7  (b) k  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1 and 251.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 22 and 3707.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/12*(-150)\/81. Let l = 34\/27 + h. What is the nearest to -2 in l, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 103, -19, 7, -1, 3, 2 in descending order.\nAnswer: 103, 7, 3, 2, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -0*o - 9. Is -9 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 305*r + 43 = 311*r - 5*h, 0 = 5*r + 4*h + 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 25 = 3*z, 5 = -4*z + 5*z + n. Solve 0 = 4*f + r - 5, 0 = -z*f - 2*f + r + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 670 is divided by 353?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 4182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(-1*sqrt(5) + -5) + -5 + 0)**2 - (-3 + ((sqrt(720) - (4 + sqrt(720) + sqrt(720) + -1)) + sqrt(720) + sqrt(720))*1)**2)*-3.\nAnswer: -1032*sqrt(5) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*k - 133 = -67 - 73 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*a**4 + a**4 - 2*a**4 + 5*a**2 + 2*a**3 - 3*a**2 as u*a**3 + x + v*a + z*a**4 + h*a**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 70 and 277463165.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes after 11:16 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 486956\/24123 + -10\/2193. Let h be ((0\/(-13))\/13)\/2 + (-19 - 1). Let t = h + i. Which is smaller: t or 3\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 3 + 1)*(1074 - 1074 + 1662*o**2) as g*o + q + r*o**2 and give r.\nAnswer: -4986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 29*f**3 + 4 + 194*f**3 - 4 + 8*f**2 + 58*f**2 wrt f.\nAnswer: 1338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l + 2*f + 7, 10*f - 8*f - 18 = -2*l. Suppose -l*m - 317 = 3*b, 5*m - 5*b + 261 = m. Let s be (m\/12 + -3)*(-6)\/5. Is s bigger than 39\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -94\/17?  (a) -405  (b) -3  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {a: 1, y: 1, j: 10, o: 2}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 54386975341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 572 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 321580753, 643161509, 964742265?\n\"Answer: 321580756*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*c**2 + 5 - 5)*(-3 - 2*c + 3) - 3*c**2 - c**3 + 3*c**2 + (-7 + 7 + 2*c)*(-14*c + 6*c**2 + 14*c) to o*c + p*c**3 + g*c**2 + r and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 19450 (base 13) to base 15\nAnswer: e81a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ryynfyyrfo. Give prob of sequence yfyr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 111238 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 3*y**3 - 109*y**2 - 84*y + 361. Give b(37).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttaaatt. What is prob of sequence ttaa?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 0.4, -312135, -1\/6, 5, -0.2, 0.01?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 146.91 times 2\nAnswer: 293.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0*(1 - (-1)\/(-2)). Suppose -13 = -3*q + 4*q - 4*p, 4*q - 3*p - 13 = c. Solve 9 = -4*z - q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -117 - -119. Let p = 19 - 12. Which is the second smallest value?  (a) p  (b) v  (c) 0.4  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 0 + 1 = 0. Let w be -14*(47\/4)\/(g\/(-2)). Let k = w + 666. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**2 - 12. Let c be k(-4). Let u(t) = t**2 - 21*t - 50. Let q be u(22). Do c and q have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -155 = 84*s - 88*s + v, 3*s + 5*v = 99. Solve -3 = -7*g - s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -70*u + 279*u + 44*u as k + r*u and give r.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, h: 1, y: 4, z: 1, b: 1}. Give prob of sequence hy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -135*q**2*x**3 + 168*q**2*x**2 - 51*q**2 - 27*x + 2 wrt x?\nAnswer: -810*q**2*x + 336*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 5*p = -17, 5*k - 3*p + 6 = 7*k. Let f be 8\/16*-2 - k*1. Solve 2*q - 4*q + m = 2, 0 = -2*q + 2*m - f for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.05  (b) 4\/3  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the first derivative of h**5 - 2*h**3\/3 - 18. What is the third derivative of r(z) wrt z?\nAnswer: 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -0*k - 6. Let w(z) = 3*z**3 - 6*z - 2*z**2 - z**2 - 5*z**k + 4 + 0. Let b be w(5). What is b rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 943 = -370*f + 33 - 940 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5445, 21680, 48739, 86646, 135425, 195100, 265695, 347234?\nAnswer: 439741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (-4 - (1 + (0 - 4))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/223 and 127\/2230.\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -944, -3064, -6362, -10838, -16492, -23324, -31334?\nAnswer: -40522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8, 32, 60, 92, 128?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the first derivative of f**6\/360 + f**5\/30 + f**4\/12 + 55*f**3\/3 + 2*f + 78. Let s(x) be the third derivative of b(x). Determine s(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4383794 at most 4383793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d = 3*h - 21, -129*d = -127*d + 12*h - 42 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the second derivative of 2*q**7\/3 + 32*q**6\/15 + 11*q**5\/5 + 2*q**4\/3 - 31*q - 3. Factor p(m).\nAnswer: 4*m**2*(m + 1)**2*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -141 + 908. List the prime factors of l.\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110200112 (base 5) in base 13?\nAnswer: 1382ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.407446 rounded to 2 decimal places?\nAnswer: -3.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/19, -5, 15, 4, -0.4, -223\/3, -1\/7?\nAnswer: -223\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b + 10. Let r be t(7). Let y be ((-3 - -3 - 2) + 6)\/2. What is the first derivative of -2 + 4 - i**2 + 2*i**y + r*i**2 wrt i?\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {k: 8, a: 2, h: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 52108 and 119112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12492 less than or equal to 12494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (36*j - 21*j + 26*j)*(3*j + 0 + 0) - 2*j**2 + 0*j**2 + 3*j**2.\nAnswer: 124*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 20 - 19. Let f be (-1 - -3)*(-1)\/8. What is the nearest to 1 in j, 0.1, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 788  (b) -1\/4  (c) -0.3  (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, 679, -0.08?\nAnswer: 679","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/(-5) - (-36)\/15. Suppose -i + 34 = -w, -s*w = -4*i + 30 + 108. What is the remainder when i is divided by 15\/2*(-12)\/10*-2?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from ffbffpppbflrbpplpf.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1537619, 3075238, 4612855, 6150470, 7688083, 9225694?\nAnswer: 10763303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -20170925, -40341850, -60512775, -80683700, -100854625, -121025550?\n\"Answer: -20170925*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 - 11012?\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes before 2:40 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 266456831 a multiple of 6735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20)\/((-15)\/3 - (-402)\/67)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*x - 6160000 = 23*x - 2*b, -x + 2*b - 3080000 = 0. Round x to the nearest 100000.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**3 - n**2 - n - 3. Let x be m(0). Does 13 divide 1 + 12*(-1 - x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 77038 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**2 + 38*g + 36.\nAnswer: 2*(g + 1)*(g + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*m - 38*m = -5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -4409.189 + 0.036193\nAnswer: -4409.152807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24 - (-3 - 2)) + 411 + -415?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 3*j + 4 = -6, -5*k = 3*j + 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -409*u**3 - 13493*u**2 - 106208*u + 1040 = 0.\nAnswer: -20, -13, 4\/409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 99\/16 and 22\/294453?\nAnswer: 4711248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from {w: 1, b: 1, l: 2, i: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (8\/(-48))\/(2\/(-12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5a1157 (base 11) to base 16.\nAnswer: e8b5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -2*l**3 + 103*l**2 - 62*l + 97. Calculate u(51).\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 2486*b**2 + 6*b - 1. Let k = 42 + -39. Let t be z(k). Suppose -a + 28308 + t = -3*d, a = -3*d - 50701. Round d to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1617 - 1589. Is 25 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -2*t**2 - t - 1. Let z be x(-2). Suppose 2*m - 1 = -i - 7, 2*i + 6 = 2*m. Sort i, 3, -5, z.\nAnswer: z, -5, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 5*x + 17910 = 0, -4*j - 263*x + 264*x = -17922. Calculate the greatest common factor of 20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-45)\/(-60) + (-74)\/(-8). Let s = c - 4. Suppose -45 + s = -l. List the prime factors of l.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102025 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -30594?  (a) -1\/63  (b) 0.2  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11 + -29. Let h = r - -27. Suppose -4*g - 13*z + 11*z = -22, -2*z = g + 2. What is the lowest common multiple of h and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.25  (b) 3  (c) -172  (d) -0.9  (e) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 79, 180, 349, 586, 891, 1264?\nAnswer: 1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23 = 28*p - 89 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:26 PM and 11:55 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 119*v + 118*v + 3 = 5, 3*v + 4 = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -549 + 552. What is the fourth smallest value in m, 0.3, 3\/8, -2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the third derivative of -g**7\/2520 + 7*g**6\/720 - g**5\/120 - 13*g**4\/24 - 95*g**2. Let a(c) be the second derivative of r(c). What is a(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5*(144\/(-40))\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -1370?\nAnswer: -1\/274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 8 = 4*i, 25*i - 21*i + 2*j - 16 = 0. Let u be (18\/(-12))\/(6\/(i + -50)). Solve -3*y - 1 = -4*p + 7, -4*p - u = 2*y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1587531408 and 9024.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11.7 + -11. Let b = r - 0.7. Let m = b - 0.5. What is the smallest value in m, 4\/9, -0.03?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 548621847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -750*s - 17298 = 15222 + 5730 for s.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 70 = 3*m. What is the lowest common multiple of m and 58?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h*h**(-3\/16)*h)\/(h*h\/(h\/(h*h\/(h\/h**(-39)))*h))*(h\/(h*h**(-34)))\/(h*(h**(-2\/11)\/h*h)\/h) assuming h is positive.\nAnswer: h**(13199\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8\/3*x + 4\/3 - 7\/3*x**3 - 19\/3*x**2.\nAnswer: -(x + 1)*(x + 2)*(7*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of 4*t**3\/3 + 3*t**2 + 28. Let h(n) = -4*n**2 - 5*n. Let r(y) = 6*h(y) + 5*p(y). Let g(x) = 10*x**2. Determine g(r(i)).\nAnswer: 160*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 100925 is divided by 12611.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 86\/3 of a year in months?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.58071 take away 119.97?\nAnswer: -119.38929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -50\/10836513 and -65\/402.\nAnswer: 21673026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 103601 + -29470. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.2 - 3.2. Let j = q - -2.95. Let a = j - -0.041. Round a to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -10821*p + 119035. Determine g(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.942905 weeks in days?\nAnswer: 55.600335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -245 + 350. Suppose -q + 53 - 192 = -4*b, 3*b - q - w = 0. Solve 5*k - 2*y - b = y, 2*k - 1 = -3*y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*m - 192 - 2478. List the prime factors of m.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (13\/(-4))\/(10\/(-40)). Suppose 5*o - 3 = 2*q, -5*o - 3 = q - 9. Suppose -3*n + b - q = 0. Solve 4 = -n*w - 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*m - 111 + 6 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -23*p**2 - 1177*p - 1. Let s(a) = -62*a**2 - 3530*a - 3. What is -3*s(f) + 8*w(f)?\nAnswer: 2*f**2 + 1174*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 27294.4000117137 - 27294.4. Round b to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -81\/5 + 16. Let o = -37 + 35. Which is the third smallest value?  (a) o  (b) m  (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -109\/35508 and 35\/33.\nAnswer: 35508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -198, -1\/5 in ascending order.\nAnswer: -198, -3, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 140, -0.1, 5, 7, -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -5*y - y**2 - 2 - 3 - y - y. Let g be s(-6). What are the prime factors of 1 + (-1 - -2)\/g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 67*x + 70*x - 286*x + 66*x + 80*x. Let m(f) be the third derivative of -f**5\/60 - 41*f**4\/24 - 4*f**2. What is m(d(k))?\nAnswer: -9*k**2 + 123*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16726?\nAnswer: 2, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/17?  (a) 4  (b) -18  (c) 7\/556\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3302783 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**2 + 13*o + 78. Let d be q(-24). Let m = d - -791. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 52 + -52. Sort l, -3, 2.\nAnswer: -3, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*z - 172 + 58. Let f(u) = u**3 + 12*u**2 - 4*u - 10. Let w be f(-12). What is the greatest common factor of w and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**3 - q**2 - q. Let t(z) = -8*z**3 + 4*z**2 + 4*z. Suppose 5*r - 27 = -32. Determine r*t(o) - 4*w(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -465 + 711. Is 20 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 0.9704953cm?\nAnswer: 9.704953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 39*b + 3. Let q = -15 - -17. List the prime factors of x(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -8*h - 12. Let z be m(-6). Let w be (400\/z)\/(-4) - -3. Let j = -35.87 + 32.87. Sort 1, 3, j, w in decreasing order.\nAnswer: 3, 1, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -204*i + 43503 - 63087 = 0 for i.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 28891234 and 7278.\nAnswer: 2426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 73660\/742696 + 4\/(-136).\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/13, -0.32, 10.1, 725 in increasing order.\nAnswer: -0.32, 2\/13, 10.1, 725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s - 3. Give n(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.5 in -489.1, -1, 0.3, -51?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-22)\/(220\/2))\/((-588)\/315)\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5\/(-2)*(-36)\/15. Let y(r) = 17104*r - 324. Let t be y(w). What is t rounded to the nearest 1000?\nAnswer: 102000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*b**3 - b**3 - 8*b**3 + (b + 0*b - 5*b)*(0*b**2 + 7*b**2 - 26*b**2) - 15 + 2*b**3 + 15 to the form h*b + g + y*b**3 + k*b**2 and give y.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -7*o**3 - 9*o**2 - 12*o - 1. Let w = -78 - -72. Is t(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.069555724 and -0.3.\nAnswer: 0.0208667172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 86675514?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.605618 and 1.6.\nAnswer: 0.9689888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3848*x + 10 = -3862*x - 116, 6*x - x = -2*y - 41 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8)\/(-2) - (15 - 4). Let z be (10 + -2)\/(r - -9). Let n(m) = -m**3 + 5*m**2 + 5*m + 1. Let b be n(6). What is the biggest value in z, 1, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.7899571 + 0.79. Round u to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m**2\/2 + 63*m\/2 + 31 = 0. What is m?\nAnswer: -62, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**4 - 132*o**3 + 1252*o**2 - 3936*o + 3904.\nAnswer: (o - 122)*(o - 4)**2*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:22 AM and 8:59 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 2*z**2 - 7*z + 18. Let g be y(6). What is the greatest common factor of g and 528?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5871*o - 2322*o + 22149*o.\nAnswer: 25698*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 81 and 189?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the first derivative of l**5\/120 + 110*l**3\/3 + 264. Let m(s) be the third derivative of p(s). Give m(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/(-13)*32\/(-192)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-2*6\/(-8))\/((161\/46)\/1)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -5*h**2 + h + 171. Let b(a) = -a**2 - 4. Calculate l(b(z)).\nAnswer: -5*z**4 - 41*z**2 + 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = 3*d - 2*h, 5*h = 5*d + h - 37. Let t(n) be the third derivative of -n**6\/120 + 2*n**5\/15 + n**4\/3 + n**3\/6 - 353*n**2. Give t(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-134918)\/1223899)\/((-14)\/(-2)).\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1084 + -1084. Let w(v) be the third derivative of 1\/420*v**7 + 10*v**2 + 0*v + u*v**4 + 1\/672*v**8 - 1\/120*v**5 + 0 - 1\/240*v**6 + 0*v**3. Factor w(h).\nAnswer: h**2*(h - 1)*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/4*l**2 - 1\/4*l**3 + 0 - 1\/4*l**4 + 1\/4*l.\nAnswer: -l*(l - 1)*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -36 times -0.06\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - 25 = -350*m + 352*m, 4*m = 5*j - 35 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 3, i: 6, c: 6}. Give prob of sequence iii.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -543472?\nAnswer: 1\/135868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**2\/9 + 322240*h\/3 + 12979827200.\nAnswer: 2*(h + 241680)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/19, -2\/19, 14 in decreasing order.\nAnswer: 14, 2\/19, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 155, 152, 149, 146, 143?\n\"Answer: -3*w + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 19219 (base 15) to base 7\nAnswer: 456351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes before 7:16 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 173, 172, 161, 134, 85, 8, -103, -254?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1204 by 522.\nAnswer: 602\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -12*q**2 - 11*q + 3. Let o be a(0). Which is greater: 12\/7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (212*n - 280 - 2*n + 280)*(0*n**3 + 4*n**3 + 0*n**3).\nAnswer: 840*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -216 = 2*q + x - 651, 3*q - 655 = -4*x. Let j = 345 + 423. Let z = j - q. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -69*x + 51 - x**4 + x**4 + 2*x**4 + 0*x**4 - 54 to c*x**2 + n + h*x**4 + u*x + b*x**3 and give u.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x + 0*z = 2*z - 21, -18 = -3*x - z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 316325 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 242750 = -35714. Suppose -7*i = -3*w - 3*i + l, -68988 = -3*w - 4*i. Suppose 5*h - w = 3*h. What is h rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2101439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 11*w**2 - 94*w - 42. Let h be c(9). Factor h*p - 3\/5*p**2 - 12\/5.\nAnswer: -3*(p - 4)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 - -11.425. Let s = -0.025 + l. Let m = s + -9.81. What is m rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 802 is divided by 134.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3156 - -179887\/57. Calculate the common denominator of -2\/5 and s.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-27)\/(-12))\/(9\/24). Suppose -a*t + 2113 = 67. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 544 + -313414?\nAnswer: -312430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r - 4*f = -29 + 49, 5*r + 20 = -4*f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add 9663 and -0.2.\nAnswer: 9662.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -425 = f - 17*i, -f + 1582 = -5*i + 1707 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c and 2 x when four letters picked without replacement from xxcccctcxcctixccccc.\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-three halves of a microgram in nanograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 14532, 14718, 15030, 15468, 16032?\n\"Answer: 63*o**2 - 3*o + 14472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.582 - 0.492. Let q = -0.91 - l. Which is the nearest to 0.2?  (a) -0.2  (b) 3  (c) q  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 100 - 53. What is the remainder when z is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 3025*i - 13802. List the prime factors of v(8).\nAnswer: 2, 3, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -o - 1841*o**4 + 2*o**2 - 1 + 1827*o**4 - 2*o wrt o.\nAnswer: -168*o**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -2*m + 123, 3*x + 44 = m + 2*x. Suppose 16 - m = -3*y. What is the highest common divisor of 1 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.38 times -0.10087?\nAnswer: 0.0383306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes before 3:11 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -505.07 + 500. Let x = z + 0.07. Sort 2\/5, -3, x in descending order.\nAnswer: 2\/5, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -72 + -15. Let s = -61568 + 61568.1. Which is the smallest value?  (a) d  (b) s  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17568124193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -24*w - 8 - 160 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*w - 5*w + 40. Let c be -184*3*(-2)\/w. Is (c\/18)\/((-1)\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*m**3 - 5146*m**2 + 21880*m - 4608.\nAnswer: -(m - 4)*(m + 576)*(9*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (14\/(-36))\/(2436\/1044)*-4\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-14)\/49 + (-5)\/(5040\/(-1247)) and -179\/60?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*6*-2*(sqrt(20) + sqrt(20)*3)*-2 + 2.\nAnswer: 2 + 576*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 34225313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 106*c**2 - 15*c**2 - 49*c**2 - 3*c**3 - 2*c - 11*c**4 + 2 - 40*c**2 to the form n*c + q + m*c**2 + k*c**3 + t*c**4 and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 53\/5 of a milligram in micrograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from lllllldllllldllddlll.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((75\/(-5))\/(-5))\/((-24)\/(-32)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -13 - 37 - l - 11 - 6*l + 16. Give g(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(-1))**29\/(f**(2\/5)\/f)**(-1\/14)*(f*(f*f\/(f**(-5)*f)*f)\/f)\/(f**1*f)*(f*f*f**(-1\/3)*f)\/f**5 assuming f is positive.\nAnswer: f**(12731\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1442 = -9*y + 1429. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -11 and 65?\nAnswer: -715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -32\/45 and -44\/15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 73 - 56. Suppose 128 = b*r - r. Solve r = 3*y + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wtwrrwrrrwrwwwtttr. Give prob of picking 1 t, 2 w, and 1 r.\nAnswer: 49\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3835 + 3*s**3 - 3844 + 1236*s - 414*s + 7679 + 825*s**2 = 0. Calculate s.\nAnswer: -274, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*r**4 - 4*r**2 - 6 - r**2 - 2*r + 5*r + 2*r**3 + 1 + 4*r**2 in the form t*r + d + c*r**4 + p*r**2 + n*r**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 1  (b) -53\/5  (c) -0.5  (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 182 and 51338?\nAnswer: 667394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(2\/5)\/y)**37\/(((y**(-10)\/y)\/y)\/((y*y\/y**(4\/3))\/y*y)) assuming y is positive.\nAnswer: y**(-143\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 4) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o + 4. What is f(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-1 + 5 - 0) + -4 + 77 + -61\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 154777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 99\/16 and 25\/122?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -5604, 1, 4, 10 in descending order.\nAnswer: 10, 4, 1, -5604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - -221738?\nAnswer: 221735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -2269*r + 18133. Give z(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 788521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1653*c - 103 - 517 + 54 + 1655*c.\nAnswer: 2*c - 566","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the third derivative of 5\/6*q**3 - 1\/8*q**4 + 1\/360*q**6 - 9*q**2 + 0*q + 0 + 1\/40*q**5. Let i(o) be the first derivative of r(o). Give i(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 p when two letters picked without replacement from {q: 7, p: 9}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -262, -1026, -2300, -4084, -6378, -9182, -12496?\nAnswer: -16320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000099445871 to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rok when three letters picked without replacement from {o: 3, t: 8, k: 1, r: 6}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 525 = -180. Let k = 179 - q. Let o = -32 + k. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2382?\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1 - -4) + -4 - 2) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 40332 and 80664?\nAnswer: 80664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 14*b**2 - 861*b - 8538. Determine j(-10).\nAnswer: 1472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*f**3 - 5574*f**2 + 321264*f + 4612896 = 0 for f.\nAnswer: -3372\/13, -12, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.84*2.\nAnswer: -3.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -104 - -b?\nAnswer: -c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 133*n - 33*n + 200 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.03 - 11.03. Let w = g + 11.1. Let c = 437\/1505 + -1\/215. Do c and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -3, 372, 462, -1 in decreasing order.\nAnswer: 462, 372, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -26 + 11. Suppose 3*j + 10 = 8*j. What is the remainder when g is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 2*p - c + 2, 2*c = -4*p + 30. Let o(t) = t**2 + 7*t + 6. Let z be o(-6). Suppose -4*w = -z*j - p*j + 10, w = -5*j - 15. Is j equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from runnunorunrrornddn. What is prob of picking 1 o and 1 d?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-7) - (-79)\/(-7). Let t(f) = -1 + 11*f + 5 - 1 - 12*f. Let z be t(5). Sort 4, r, z in decreasing order.\nAnswer: 4, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {g: 2, n: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 5*g = -690, c + 4*g - 1187 = 6*c. Let w = c + 2212. Suppose -w = -u + 1400. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i**2 + 1 - 1 - 41 + 41 - 43*i**2 + (0 - 5 + 3)*(-2 + 2 - i**2).\nAnswer: -42*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 89842770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/176 and (-3)\/(-84)*-211 + (-16)\/(-56).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/9, -10, -1346, 1, 2 in descending order.\nAnswer: 2, 1, -1\/9, -10, -1346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -211, 581, 3173, 8465, 17357?\nAnswer: 30749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4041 - 3816. What is the least common multiple of 39 and s?\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, p: 2, t: 11}. What is prob of picking 1 l, 1 p, and 2 t?\nAnswer: 44\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6\/((-12)\/(-49))*-2. Suppose j - p = 170, j + p = -3*p + 195. Let b = u + j. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9698645 rounded to the nearest 10000?\nAnswer: -9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1\/(-3))\/((-3)\/18). Suppose -t + 7 = -v, -4*v - o*t = -6 + 22. What is the closest to -0.1 in 0, -0.4, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**3 + 4*i**2 + 5*i + 4. Let r be (-4)\/8 + 18\/4. Let x be (-2 - -6) + 3 - r. Suppose 3*t + 22 = 5*t + 4*j, x*j = -5*t + 34. What is f(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 984 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00007964 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 4*k**2 + 1 + 26*k**2 in the form u*k + r + c*k**2 and give c.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31604721 is divided by 6572?\nAnswer: 6545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkkkkkkkkxkkkkkkxk. Give prob of picking 2 x and 2 k.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 98249  (b) -4  (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 2*n - 2*n = 16, -n = 5*a. Put a, 9, -5 in decreasing order.\nAnswer: 9, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 36*(-19)\/(-76) - (0 + 0). Let k be (-15)\/(-27) + (y - (-140)\/(-15)). Solve -10\/9 - 4\/3*w - k*w**2 = 0 for w.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 6. Suppose 0 = -u*y - 12, -2*s + 5*s = -5*y - 5. Suppose 2*f + 4*h = 6, 33 = s*f - f + h. Solve 4*k = 5*w + f, 0 = -4*w - 0*k - 2*k - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 2*q**2 + 6*q + 2. Let j = 141 - 117. Suppose 3*t + j - 2 = 2*l, 2*t + 3*l = 7. Let d(k) = -2*k**2 - 5*k - 2. Give t*y(o) - 5*d(o).\nAnswer: 2*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.021  (b) -26\/9  (c) -66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 95*x = 73*x + 44. Let f = 79 + -47. Calculate the highest common divisor of f and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -2*w - 3*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f**5 - 2193324*f**4 - 601342544354*f**3 - 4810635075792*f**2 - 9621199965728*f = 0 for f.\nAnswer: -548327, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*f**3 - 2*f**3 - 2*f**3)*(0*f - 2*f + 3*f)*(57 + 62 + 34 - 41) in the form o*f**2 + b + w*f**4 + l*f + i*f**3 and give w.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7318483?\nAnswer: 17, 430499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o**3 - 3*o**3 + 3*o**3 + (-2 - 2*o**3 + 2)*(0 - 2 + 1))*(-3*o - 3*o + o + (2*o - 4*o + 0*o)*(-4 + 3 - 1)).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26982 is divided by 397.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -1 + 26*s**2 - 51*s**2 + 31*s**2 + 2*s. Let x be q(-1). Suppose 5*g - 186 = -4*l, 3*l + x*g + 21 = 162. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 51696 and 108?\nAnswer: 155088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(220) + sqrt(220)*-1)*-5 - sqrt(220))\/sqrt(11) + (4*sqrt(50)*2)\/((sqrt(90)*2)\/sqrt(9)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.112763 rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (5 - (-3 + 2)) + (55 - 73)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 210915 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -10*w - 59. Let m be h(-19). Let q = 135 - m. What is the highest common divisor of 3 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -1910.\nAnswer: -1\/382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**3 + 23*m**2 - 72*m - 137. Is n(-33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g - q = -24 + 7, 0 = 2*q - 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 97*g - 195*g + 91*g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (38 - 38 - 5*j)*(121 - 305 - 236) + j + j - j.\nAnswer: 2101*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-27)\/11 - -3)*(-2)\/(-6). Let p = 23 - 20. Let i = 52 + -51.9. Which is the nearest to i?  (a) 1  (b) p  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d + d - 2*d**3 + (-2 + 1 - 1)*(0 + 0 + d**3) + 2*d**3 - 4*d**3 + 4*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -33612 (base 7) to base 15.\nAnswer: -27e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 17*y + 4. Let g(b) = -142*b. Calculate z(g(i)).\nAnswer: -2414*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16668 - 8521. Is c 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 25\/764 and -83\/16?\nAnswer: 3056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/43, -0.3, 10, -0.1?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p\/(p*p*p*(p**10*p)\/p*p*p))*p)\/(p*p**(-2\/9)))\/(p*p*p**(-8)*p*p*p**(-3\/5)) assuming p is positive.\nAnswer: p**(892\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1619 + 15923. What is the thousands digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12*(-273)\/5148*(-176)\/77?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16 and 2608?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3169.060428 rounded to 1 dp?\nAnswer: 3169.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 180 and 8810595?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 2 = 4*f + 10, g - 2*f - 6 = 0. Suppose d - 22 = -g*d. What is the remainder when 64 is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1151144 is divided by 383699.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, g: 4}. What is prob of picking 2 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3196*g**3 - 3190*g**3 + 8*g**2 + 4*g - 5 + 9576*g**3 - 6 - 3189*g**3 to k*g**2 + j + v*g**3 + p*g and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) - (-6*sqrt(4)\/sqrt(2))**2)*2*1.\nAnswer: -144 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 1\/3  (b) 6  (c) 0.128697\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -38*m + 2141. Let n(v) = -16*v + 1070. Give 3*j(p) - 7*n(p).\nAnswer: -2*p - 1067","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -18*x**3 - 11*x**2 + 10*x**2 + 17*x**3 + 14*x**2 - 1. Determine p(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 2*k**2 + k - 2. Let t(w) = 65*w**2 + 1380*w + 91065. Let a(f) = 30*m(f) - t(f). Let a(j) = 0. What is j?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 18\/(-4) + (-9)\/(-18). Is 12 + 1\/(v - -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1717?\nAnswer: 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(7\/5)\/k*k\/((k\/(k*k\/(k*(k\/(k\/k**(-2\/23)))\/k)*k))\/k*k*k))\/(k**(-1\/4))**30 assuming k is positive.\nAnswer: k**(2297\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 147492 and 40120.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 954 and 20.\nAnswer: 9540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 5*q + 16 = 0. Suppose 15*w - 2293 = 1487. Find the common denominator of 77\/16 and 704\/w + q\/(-36).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 + 6. Suppose -2*b + 3*x = -7*b + 32, b = 3*x - 8. Let v be 74\/(-37)*(3 - 0 - 4). Solve 2*m - b*h = -v*m, 0 = -m + s*h - 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1081\/17296 + 57\/112?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 20 and 493510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r - 3*y + 144 = 0, 5*r + 77804 = -19*y + 78772 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/18)\/((-33)\/(-22))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 4*w - 28. Let l be c(15). Solve -2*i + u = 5, 2*u + l = -5*i - 2*u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3276 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15187878*g**2 + 5573877*g wrt g?\nAnswer: 30375756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1443331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1173 is divided by 107?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -658*c**2 + 2093*c**3 + 658*c**2.\nAnswer: 2093*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*b**3 - 2*b**3 - b**3)*(-36 - 22*b + 36 + (-2*b + 3*b - 2*b)*(8 - 4 - 3)) as d*b**4 + p*b**2 + f*b**3 + w + l*b and give d.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**3 - k**2 - 6*k + 1837. Is s(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 28*v + 161. List the prime factors of y(20).\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7 at most -635\/114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 3 - 2*w)*(-w**3 + 3*w**3 + 0*w**3) + 8*w**4 + 6*w**4 - 5*w**4 - w**4 - 2*w**3 - w**3 + 0*w**3 to x*w**4 + g*w**3 + h*w + d*w**2 + n and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17*m**2 + 14*m**2 + 4 + 2*m - 5*m**2 - 20*m**2 to u*m + j*m**2 + q and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 161 by -161.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/((6\/2)\/(-57)). Let d(m) = m**3 + 6*m**2 + 5. Let a = 3 + -9. Let b be d(a). Solve 6 + p = b*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.6568*-2.\nAnswer: -5.3136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -90, -3, 2, -5, 66 in descending order.\nAnswer: 66, 4, 2, -3, -5, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 294345673?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -10*p**4 + 21*p**4 + 26*p**4 - 6 - 69 wrt p?\nAnswer: 148*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1656015, -1656011, -1656007, -1656003, -1655999?\nAnswer: -1655995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*c**3\/5 - 86*c**2\/5 + 158*c\/5 - 24\/5.\nAnswer: 2*(c - 4)*(c - 3)*(6*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*a - 2712 = -43*a. Suppose 15*w - a = 897. What is the highest common factor of 1365 and w?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/9 + 169\/(-9). Let w = 13 + c. Let m(x) = 2*x**3 - 7*x - 6. Let u(v) = -18 + 23*v + 0 - 24*v + 17. Determine w*u(s) + m(s).\nAnswer: 2*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-108 - 328 - 41 - 36 + (0 + 2 + 0)*(-4 + 3 + 0))*(0*w**2 + 4*w**2 - 3*w**2).\nAnswer: -515*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61 = 18*q - 23*q + 2*f, 81 = 4*q - 3*f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -4*a - 26. Let l be z(-7). Find the third derivative of 17*s**6 - 2*s**2 + 11*s**l - 10*s**6 wrt s.\nAnswer: 840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*d + 3*d = 9688. Let a = d + 1783. Suppose -k + 4*k + 453 = 4*c, 5*c + 2*k = a. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72792?\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the second derivative of 2*o**5\/5 + o**4\/12 - o**2\/2 - 2*o. Let v be k(1). Let u(y) = -y**3 + 9*y**2 - 8*y + 12. What is the units digit of u(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 676140 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-3 + 1*sqrt(700) + -4*(sqrt(700) + 3)).\nAnswer: -180*sqrt(7) - 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(63)\/(sqrt(63)\/sqrt(7)) + (sqrt(1008) - -3*sqrt(1008)))**2.\nAnswer: 16807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 884*i - 3*c = 885*i + 132, 5*c + 200 = 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(102)\/sqrt(3)*3*-1)\/((sqrt(80)\/sqrt(4))\/sqrt(10) + sqrt(2200)\/sqrt(11)).\nAnswer: 3*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3c6 (base 13) to base 2.\nAnswer: -1010011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 509 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -69 + 74. Suppose 4*a = -0*a - 12, 2*v + a - 77 = 0. Calculate the greatest common factor of d and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -367674\/11 + 1838777\/55. Solve -4*b**2 - 18\/5 - 1\/5*b**3 - o*b = 0 for b.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 304 and (19\/(-2) - 280\/(-112)) + 614 - -1?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 7*v. Let y(l) = -21 + 0*l**2 + 21 + 3*l**2. What is q(y(b))?\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21998 is divided by 194.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**2 - 3*l - 12. Give m(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 428881 - -6?\nAnswer: 428887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.1, -1072, 3, -45159?\nAnswer: -1072","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -9*l + 48. Let f be g(4). Let x be (-1)\/(-2) + -2*(-27)\/f. Suppose -5*q + 3740 = -3*b, x*b - 725 = -q + b. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -27544.68635 + 27590.68634988. Let o = x + -46. Round o to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32793 is divided by 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 6*j + 9*j = 13, -3*j + 9 = -3*n. Suppose 0 = -2*s + 2*c + 4 - 18, 12 = 3*c. Sort s, n, -6 in descending order.\nAnswer: s, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -218834006*t**2 + 105215503*t?\nAnswer: -437668012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the third derivative of 0 + 3*p**2 - 1\/6*p**3 + 0*p. Let c(b) = b**2 - 2*b - 7. Let v(r) = -2*c(r) + 14*u(r). Determine v(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of 19*t**3\/6 + 3*t**2\/2 + 451*t. Let h(f) = -2*f**2. Determine h(a(i)).\nAnswer: -722*i**2 - 228*i - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c*c**(-1\/6)))\/c)**(-6\/35)\/(((c\/(c**24\/c))\/c)\/(c**(-4)\/c)) assuming c is positive.\nAnswer: c**(127\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 5*c**2 - 3*c**2 - 4.\nAnswer: 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*t**4\/7 + 90*t**3\/7 + 162*t**2 + 3726*t\/7 + 3888\/7 = 0 for t.\nAnswer: -3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 125 - 122. Which is the fourth biggest value?  (a) -0.5  (b) x  (c) -3  (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -574 - 381 + 138*g + 544.\nAnswer: 138*g - 411","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -2*s**5\/5 + 618*s**4\/5 - 614*s**3\/5 - 618*s**2\/5 + 616*s\/5 = 0.\nAnswer: -1, 0, 1, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 26 + -22. Suppose 0 = k + 3*k + b. Does 10 divide (1 + 1)*(9 - k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -192 by 48.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, 0, 3640, 3 in ascending order.\nAnswer: 0, 3, 13, 3640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -248*i**3*j**2 + 2839*i**3 + 3*i**2*j**3 - 5*i + 1 with respect to j.\nAnswer: -496*i**3*j + 9*i**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -180 divided by -5?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 5 = 0, -2*t + 2*r - r + 131 = 0. Suppose -t = -4*d + 93. Does 13 divide 4*(-1 + d\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -3*q. Let s be t(1). Let p = s + 6. Solve 0 = -f + 3, a = -8*f + p*f + 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -54*q - 2*q**2 + 54*q. Let m(n) = -25*n**2. Give m(p(g)).\nAnswer: -100*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 146497 to the power of 1\/2, to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -601673\/13 - -46283. Let -o*g**4 + 0 - 2\/13*g**3 + 6\/13*g**2 - 2\/13*g**5 + 4\/13*g = 0. What is g?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/(-4))\/((-243)\/120 - -2). Let u be 3\/9 - x\/12. Suppose 7*h - 16000 = u*h. What is h rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-3\/16)*v)\/(v*v\/(v\/(v*v**(-28)*v))) assuming v is positive.\nAnswer: v**(413\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 39*a + 128. Let k be l(-8). Let y = k - -516. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -527, -1649, -3517, -6137, -9515, -13657, -18569?\nAnswer: -24257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.07?  (a) 2\/9  (b) 7  (c) -11\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q + q - 3*q)*(0*q**2 - 5*q**2 + 4*q**2)*(5*q - 2*q + 12*q).\nAnswer: 30*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -8*2.445\nAnswer: -19.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.2, 0.3, 0.002, -2\/209, -0.3?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -43?  (a) 0  (b) -14.872  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -16*y**2 - 22*y - 24*y - 3*y**3 + 22*y**2 - 26*y + 66*y. Let a(m) = 3*m**3 - 7*m**2 + 7*m. What is 4*a(d) + 5*i(d)?\nAnswer: -3*d**3 + 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -3 + 83936\/104 + (3 - 40\/13) is divided by 402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/7130821 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -132002211 (base 4) to base 16.\nAnswer: -1e0a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 - 3. Let x = 2\/66159 + -11732218\/727749. Let r = 6533\/264 + x. Calculate the common denominator of q and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*c**3*k**2 - 46700*c**3 + 11175*c**2*k**2 wrt k.\nAnswer: 8*c**3*k + 22350*c**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 40311.348 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 10832*t + 98776. Calculate q(-9).\nAnswer: 1288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 193 and 26441?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x + 1 - 5 - 4*x**2 + 11*x**2 - 3*x**3 + 2*x**3. Let a be s(-4). Calculate the greatest common divisor of a and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -6*t**3 + 291*t**2 + 173*t - 1279. Calculate j(49).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 177319 (base 11) to base 3.\nAnswer: 111212210221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/13, -31, -1?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 + 3 - 4)*(0*t**2 + 7*t**2 - t**2) + t**2 + 2 - 2)*(6*t - 2*t - 2*t)*(46 - 20 - 46).\nAnswer: -280*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, 476346, 5\/2, 1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5141*d**3 - 23*d**2 + 442558?\nAnswer: 15423*d**2 - 46*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((60\/7)\/5 - -2) + -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/7*3\/(-12))\/(7\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -28381.42417 rounded to the nearest one hundred?\nAnswer: -28400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**2 + 41*o + 97. Give i(42).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -5*s**2 + 51*s + 2554. What is i(-18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*i + 12*i = 0. Suppose i = -54*k + 59*k + 11850000. Round k to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**3 - 7*m**2 + 3*m - 8. Determine b(8).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23*k + 325 - 325)*(-5*k + k + 3*k + 0*k - 5*k + 3*k + k + 4*k - 4*k + (-k - 4*k + 3*k)*(1 - 1 + 1) + 4*k - 2*k - 4*k + 5*k - k - 3*k).\nAnswer: 115*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*d - 10 - 254 = 0. Let h(w) = -w**3 - 12*w**2 - 6*w - 3. Give h(d).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18312)\/(-7728) + 3\/23?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/((-54)\/(-3))*2. Let y be (-15)\/(-10)*4\/(-3). Which is bigger: r or y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:11 PM and 8:25 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are -418 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -345*j + 12 + 170*j + 176*j. Let k be h(-10). Suppose -3*m - 136 = -k*z + m, -4*m + 44 = z. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1972265.\nAnswer: 5, 394453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -230 - -239. Let w(p) = 5*p**2 + 9*p. Let h = 4 + -6. Let f(d) = d**2 + 2*d. What is h*w(s) + r*f(s)?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t + 7. Let c be u(6). Solve 3*d = -3*f + 12, 3*d + f = c - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**5 - f**4 - f. Let z = 169 - 170. Let u(y) = 46*y**5 - 5*y**4 - 14*y. Let q(t) = z*u(t) + 5*b(t). Find the second derivative of q(c) wrt c.\nAnswer: -1020*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -6*1\/(-2) + 0. Let j(s) = -1 + h*s - 2*s - 8*s - 7*s. What are the prime factors of j(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (14 + (-5868)\/420)\/(6\/(-126))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 24163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**2 + 5644*q + 324955. Give u(-57).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**3 - 17*u**2 + 18*u + 26. Give v(16).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 2\/5, 3, -0.3, -14\/41, 0.8?\nAnswer: -14\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.706 + 327.706. Let b = -324 + s. What is the second smallest value in -0.2, -0.3, b, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 186 and 11382.\nAnswer: 352842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 459397547 a multiple of 1679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -43 divided by 136\nAnswer: -43\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3 + 0 + -2 + (-114)\/(-24). Which is the biggest value?  (a) -1  (b) u  (c) -2  (d) 2\/9  (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 7 = -2*i - u, -4*i = 3*u - 7. Suppose i*n - 18 = -10. Suppose -3*m = -n*j - 4, 2*j - 6 - 4 = -4*m. Sort m, -2\/5, 8 in decreasing order.\nAnswer: 8, m, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the first derivative of 107*i**4\/4 - i**3 + 201*i**2 - 3022. Find the second derivative of b(r) wrt r.\nAnswer: 642*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 - 9*c - 13. Let r = 168 + -158. Calculate g(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (1 + (sqrt(1300)*1 + -3 - (sqrt(1300)*-2 - sqrt(1300))*3)*-1)*4)**2.\nAnswer: -16000*sqrt(13) + 2080400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -ce + -13?\nAnswer: -e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 74, 14, -3, 11, -5, 0.32 in descending order.\nAnswer: 74, 14, 11, 0.32, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*i = -2*i. Suppose 2 = -0*v + 2*v, i = -c + 2*v + 18. Solve c = -7*s + 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -29494617 divided by -9831539\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4.1 in -8, -0.4, -387?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -w - 8. Let g be ((-17)\/w)\/(2\/(-4)). Solve g - 7 = 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*y**3 + y**4 + 5*y + 882*y**2 - 430*y**2 - 447*y**2 + 2 to d*y + f + p*y**4 + k*y**3 + v*y**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-14)\/(-18)*-1)\/(((-26230)\/774)\/305).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2759?  (a) 135  (b) 1\/4  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**4*u**(4\/7)\/u*u*(u**(-1)\/u)**(-2\/43)*u**(-1\/7)\/u**(-2\/9)*(u\/u**(1\/5)*u)\/(u*u**(-5)) assuming u is positive.\nAnswer: u**(142816\/13545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -4, -2, 1, -1.\nAnswer: -5, -4, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -2, -2616\/17, 109?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -68.44 + 69. What is the closest to -2 in z, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 199*x. Let v(g) = -8*g + 11*g + g - 2*g. Calculate q(v(j)).\nAnswer: 398*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -104 = -2*d - 5*v, -228 = -4*d - 3*v - 2*v. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3625?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*j**22)*j\/(j\/(j\/j**(-24)*j)))\/(j*j*j*(j*j\/(j**8\/j)*j)\/j*j**3*j))**(-20\/7) assuming j is positive.\nAnswer: j**(-40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 34 * -600.\nAnswer: -20400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - 4) + (16 - 22) + (-2 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 71777, 72368, 72957, 73544, 74129?\n\"Answer: -y**2 + 594*y + 71184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 - 7*v**2 + v. Let b be u(7). Suppose -2*q - 90 = -b*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - 2) + -1 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2423111219?\nAnswer: 163, 14865713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.7 and -215322?\nAnswer: 150725.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -522b2 + -2976?\nAnswer: -55068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 275*j + 6041. Determine y(-22).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -3*s - 2 + 15*s + 18*s - 8*s. Let r be -2 - (-3)\/(6\/10). Calculate the remainder when h(r) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 c when three letters picked without replacement from {j: 2, c: 18}?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 50*c + 49*c = -144, -2*c = -4*z - 148. Let v(n) = -8*n - 279. Let f be v(z). Solve 0 = 2*g + 3*p + f, 0 = 5*p + 9 - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-9 + (-31)\/(-3))\/((-6)\/(-531)). Which is smaller: -0.5 or q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8 + 6*b + 14 + 22 + 11 + 9 to d + g*b and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 + 0. Let j = 111 + -106. What is the second biggest value in l, j, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001581036022 to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*c**2 - 129508*c - 32891904.\nAnswer: -4*(c + 256)*(c + 32121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -42531 (base 6) in base 13?\nAnswer: -2854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 92\/(-28) - ((-2)\/(-5) - (-51)\/(-15)). Which is the nearest to -1?  (a) 0  (b) n  (c) 1  (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 0.22708439\nAnswer: -1.77291561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*d - 503 = -2603. Differentiate 17*b**3 - 38 + d + 61 wrt b.\nAnswer: 51*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38360 divided by 56.\nAnswer: -685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -2*m**3 - 9*m**2 + 35*m + 5. Let p be k(-7). Suppose 2*s + 110 = p*y, -110 = -5*y + 10*s - 6*s. What is the remainder when 65 is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 328 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o + 7. Let j = 11 + -16. Determine b(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6001 > -8005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 + 5. Let n be b(0). Let o be ((-3)\/6*-1)\/(n\/50). Let d(c) = c**2 + c. Let y(s) = 3*s**2 + 8*s. Let p(v) = -4*d(v) + y(v). What is p(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 598, 600, 602, 604, 606?\nAnswer: 608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 48170 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the first derivative of -3*b**5\/20 - 3*b**4\/4 + b**3\/2 + 9*b**2\/2 - 13*b + 28. Let q(m) be the first derivative of x(m). Factor q(z).\nAnswer: -3*(z - 1)*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 131952 (base 10) to base 15\nAnswer: 2916c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 - 46?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 19369317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 644\/18 - 10\/(-45). Suppose 10*i + 65 - 184 = 151. Calculate the greatest common divisor of d and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -4393.\nAnswer: -2\/4393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the third derivative of -n**3\/6 + n**2. Let v(g) = -2*g - 4. Let j = 28542 - 28541. Let c(i) = 2*i + 4. Let f be c(-4). What is f*p(b) + j*v(b)?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*g + 4*g - 324. Let o be 2\/((-8)\/(-5) - 2). Let m = o + 14. What is the greatest common factor of m and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -51527\/3 - -17032. Let a = 143 + t. Which is greater: -9.6 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**3 + 212*l**2 - 673*l - 186518. What is t(-211)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 417898.3 * 3.\nAnswer: 1253694.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:10 PM and 5:11 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50623956?\nAnswer: 2, 3, 1406221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.485 + 0.015. Let l = -4 - -3.5. Let m = h + l. Sort 4, m, -5.\nAnswer: -5, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 1*(sqrt(11) + 0 + -4)*6 + 1.\nAnswer: -28 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -49, 45, 139, 233, 327?\n\"Answer: 94*x - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the first derivative of n**4\/4 - n**3\/3 + 16*n - 3. Is s(0) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m - 4*r = 591 - 607, -m - 4*r = -20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -351*h + 8094 + 1383 = 0 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 2*m + 9 = 3*p, 1 = -4*m + 5*p for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -119, -123, -117, -95, -51, 21, 127, 273?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.763 + 0.147. Let z = 4379 - 4378.0977. Let j = x - z. Round j to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -642 by 5.\nAnswer: -642\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 85\/1931226 and -1\/1580094?\nAnswer: 17381034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(8\/7))\/((-23784)\/192 + 124)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**3 + 20*x**2 + 105*x - 7. Suppose -w - 22 = -2*w - 2*t, -t = -5*w + 121. Is d(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 1 + 2*sqrt(7) + (sqrt(252) + -1)**2.\nAnswer: -10*sqrt(7) + 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 7902, 15611, 23126, 30447?\n\"Answer: -97*n**2 + 8000*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*q + 21*q + 2 - 5*q - 2.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35414.\nAnswer: 2, 17707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes after 7:23 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 572878 and 9289190.\nAnswer: 5354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -34, -88, -184, -328, -526, -784?\nAnswer: -1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 - 1 + o)*(-1 + 1 - 2)*(-1 + 0 + 0).\nAnswer: 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2, 110, 464, 1180, 2378, 4178, 6700?\n\"Answer: 20*y**3 + y**2 - 31*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8 - -11. Let t be 2989\/i - 2\/6. Suppose t = -2*c - k - 10004, 5*k = -3*c - 16500. What is c rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7600457, -15200892, -22801305, -30401696, -38002065, -45602412, -53202737?\nAnswer: -60803040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-1*5\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 16*w**2 - 2*w - 2. Suppose 3*c + 132 = 5*a, -3*a + 100 = 2*a + 5*c. Calculate the remainder when n(2) is divided by a\/(-36) - 184\/(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10566 - -10568. Solve 0 = s*b + 3*n - 4, 0 = 24*b - 26*b + 4*n - 24 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*g**4 + 5*g**4 - g - 2*g**4 + 2 as r*g**4 + s*g**3 + z + u*g**2 + w*g and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 691*l + 56689. Calculate h(-82).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/(-1))\/(-7)*(-1)\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of q**5 + 34357*q**4 + 5*q**3 + 1312740*q.\nAnswer: 20*q**3 + 412284*q**2 + 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(2) + sqrt(2) + 1)*2 - sqrt(2))**2.\nAnswer: -22 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j. Let x(q) = -316*q + 8. Let z(h) = -5*v(h) - x(h). Is z(1) 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 -172, -0.3, 3\/7, 5, 4\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 3213013 (base 4) to base 7\nAnswer: 61060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 23830779 to the power of 1\/2, to the nearest integer?\nAnswer: 4882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 - (-1 - 2\/1). Let z(k) = -339*k - 334. Let q be z(-1). What is the smallest common multiple of 2 and 9 + (-3 + q)*2\/i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -13 + 11 - (0 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5498.2 - 4883. Let z = 507 - m. Let i = z - -99. What is i rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 550 and 80?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (-7 + (5 - -1) - (-3 - -6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/1456 and -115\/364.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**2 + 3*i - 2. Let x be y(-3). Let t(p) be the second derivative of -p**3\/3 + p - 60. Determine t(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 11 + 1. Let w be u\/3*(-39)\/(-26). Suppose -7*o + w*o + 15 = 0. Solve 8 = -4*l - 4*p - 4, -2*p + o = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2108, 2114, 2132, 2168, 2228?\n\"Answer: j**3 - j + 2108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of m**4*r**3 + 102*m**2 - 3*m*r**3 + 3*m*r**2 + 39*r**3 wrt m.\nAnswer: 12*m**2*r**3 + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**2 + 4*m - 5. What are the prime factors of f(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 2 + (12 - (2 + 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 20 = -0*p - 2*n, -3*p + 5*n = 49. Let j be p\/(-7) + 2*2\/(-7). Let c(a) = 0*a**j - 1 - a**2 - 44*a + 44*a. Give c(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23382493 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: Rearrange (-252 + 55*o + 252)*(2*o**2 - 4*o**2 + o**2)*(-2*o + 5*o - o) to j*o**3 + m*o**4 + k*o**2 + r*o + a and give m.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 13664 and 5977160.\nAnswer: 1458427040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 699.99696 to zero decimal places.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 156*c + 2739 = 167*c. What are the prime factors of c?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and 872.\nAnswer: -261.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -144 + -1?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 303 and 8836591?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 245*i - 2*i**3 - 489*i + 244*i.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 7, 4, -1, -8, -17, -28?\n\"Answer: -n**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 - 1. Let x = -44 + 41. Sort h, 0.3, x.\nAnswer: x, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25048941557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 8426674.5 to the nearest one thousand.\nAnswer: 8427000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 1082 - 1526 = 0. Suppose -x - 9713 = -15*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -2*d**2 - 4*d. Let m(y) = y. Let q(z) = -12*m(z) - 3*s(z). Let u(p) = -p + 780 - 780. Give u(q(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2433 + 5350. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -181 + 187. Suppose -672 = -13*p + u*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**2 + y - 4. Let j be g(0). Let f(r) be the third derivative of -r**4\/3 + r**3\/3 - 5*r**2. Does 17 divide f(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000888656084 to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 86702 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 177*a**3*v**4 + 2*a**3*v + 49*a*v**3 + 5*v**4 - 69*v**2 - 18*v wrt v?\nAnswer: 4248*a**3*v + 294*a + 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -107624 (base 8) to base 5\nAnswer: -2134011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -14*((-4)\/8)\/1. Let c(j) = 4*j**2 + 7*j. Let o(r) = -r**2 + 10*r. Let y(l) = 5*l. Let g(s) = 3*o(s) - 7*y(s). What is z*g(p) + 5*c(p)?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11826, -11961, -12180, -12477, -12846, -13281, -13776, -14325?\nAnswer: -14922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15982808 is divided by 345?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + 82 + (3 + 13 + -21 - 5) + 7.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 274472223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -563.12 + 560. Let f = -3.12001486 - p. Round f to 6 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.5 + 0. Let q be 1\/5*-2 - 15\/(-25). Which is the second biggest value?  (a) q  (b) n  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, -0.194, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -4*r**2 + 70*r - 34. What is the remainder when 864 is divided by j(13)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 252 = -13*d + 9*d. Let m be (-28)\/d*(-27)\/(-6). Solve -2*h = 8 + m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1055518 is divided by 25127.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -13 + 1. Let d(p) = 3 + 0 - k*p - 6*p. Let c be d(-4). Round c to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from {q: 5, k: 3, d: 2, l: 3}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 66349.3 grams in milligrams?\nAnswer: 66349300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(-5)*(-25)\/5. Put v, 1\/5, 0.1 in descending order.\nAnswer: v, 1\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-9)\/6*(-44)\/(-165). Which is the nearest to -1?  (a) 4  (b) x  (c) 3\/2  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/(135\/(-65)))\/((-3)\/9*1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14*i**2\/3 - 104*i + 88\/3.\nAnswer: 2*(i - 22)*(7*i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 362*u - 83. Let x be i(1). Which is greater: x or 1119\/4?\nAnswer: 1119\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (0 - 2 - -4) + 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the second derivative of 3*r**6\/10 - r**3\/6 - 7*r. What is the second derivative of k(m) wrt m?\nAnswer: 108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -72819, -72653, -72375, -71985, -71483?\nAnswer: -70869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:17 AM and 9:24 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 12216500 divided by 265?\nAnswer: 46100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 29931300 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 plus 226?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 b when two letters picked without replacement from {o: 2, c: 6, e: 3, b: 1, n: 5}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0261762 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 88838796 divided by 4.\nAnswer: 22209699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (157 + 15*f - 157)*((-2*f + 1 - 1)*(3 - 1 + 0) + (-10*f + 66 - 66)*(-1 - 2 + 1)) as w + l*f**2 + i*f and give l.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2261 rounded to the nearest ten?\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -68\/5345703 and -43\/4859730.\nAnswer: 53457030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.2, 10, 5, 2.2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2060*d**2*n**2 + 2833*d**2 + 57*d*n**3 - 18*d*n + 2*d - 2 wrt n.\nAnswer: -4120*d**2 + 342*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3757134 is divided by 154?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105*a = 109*a - 396. Suppose -a*l + 126*l - 324 = 0. What is the remainder when 64 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 117.2 - 154. Let g = -36.4 - u. Which is the smallest value?  (a) g  (b) -2\/19  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 87*h**3*y**2 + 964*h**3*y - 2*y**3 wrt y.\nAnswer: 174*h**3 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjv when three letters picked without replacement from vojvjjjvojvjj?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -242*p + 2043. Give g(8).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 124*v**2 - 162*v - 936. Does 18 divide l(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 + -2. Suppose -i*m = -m - 17. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b = -1 + 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*869.9.\nAnswer: -3479.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 333451932 to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 553?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21052 and 62412.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the third derivative of -w**4\/6 - 4*w**3\/3 - 5*w**2. Differentiate j(y) with respect to y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1025 * 0.15\nAnswer: 153.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the first derivative of 24*t**2 - 3*t + 15. Let w be q(2). Suppose 7*u = 6*u + w. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3 + 6\/3)*-12. Suppose 2*x + x = h. Let g = x - -1. What is the highest common factor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-22882)\/4038)\/(((-1)\/(-3))\/(-1)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the third derivative of 7*m**5\/60 - m**4\/6 + m**3\/3 - m**2 - m. What is r(2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -5*q + 35. Is ((-272)\/12)\/q*33*-1 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the third derivative of 0*b**7 + 0*b**6 + 0 - 7*b**2 + 0*b**3 - 1\/84*b**8 - 7\/24*b**4 + 0*b**5 + 0*b. Find the second derivative of n(i) wrt i.\nAnswer: -80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1967.465327 rounded to the nearest 10?\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 5*n**2 + 2*n - 2. Let p(s) = -s. Let y be p(-2). What are the prime factors of q(y)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 4*a = 6*j - 264, -4*j + 5*a = -244. Let c = -38 + j. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 2*d**3 + 56*d**2 + 50*d - 116. Give y(-27).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - (-2 - (3 - 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the first derivative of a**4\/24 - 5*a**3\/6 - 5*a**2\/2 - 4. Let d(x) be the second derivative of i(x). Let q be d(5). Solve 3*j = -q*j - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 + -58?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -8122db - -2?\nAnswer: -8122d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2396712821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 41\/2 of a kilogram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -2*u**3 - 5*u**2 - u + 6. What is p(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1*2)\/((-9)\/(-54)). What is the biggest value in 4, -5, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttuuuuuuu. Give prob of sequence utuu.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 281*u**2 + 267*u**2 + 281*u**2 + 285*u**2 - 1404*u**2 + 282*u**2.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**3 + 8*u**2 - 9*u + 6. Let w be 12*7\/(84\/(-9)). Let d be m(w). Solve y = -d*x + 3*x + 2, -y - x + 4 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4 + 55\/(-15) - 87\/(-9). Suppose 0 = -x*b + 12*b - 2. Suppose -4*v = 0, 2*u + v - 3*v - 8 = 0. Solve b = -u*i + 21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 131 - 100 - (11 - 1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 173105213 is divided by 4556?\nAnswer: 4549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1566 (base 16) to base 11\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 382210 and 6879780.\nAnswer: 6879780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 104435217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 - 4 - 2*g + 0*g + 2*g + g + 0*g - g + 2*g + (-1 + 2 + 1)*(g + 4 - 4) as j + x*g and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 134765?\nAnswer: 5, 26953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 108*b**4 + 1057*b**3 + 49649*b**2 + 139375*b. Let t(s) = -38*s**4 - 352*s**3 - 16550*s**2 - 46458*s. Let c(g) = -6*j(g) - 17*t(g). Factor c(r).\nAnswer: -2*r*(r + 3)*(r + 88)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -7*u**2 - 2916*u - 2915. Determine i(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 8\/3 - (-4)\/(-6). Suppose 4*w = 5*s - 7, -4*s + 3*w + 9 = s. Suppose 10 = 5*x, 5*o - 7*x + 2*x + 20 = 0. Put s, n, o in descending order.\nAnswer: s, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4060 greater than or equal to 4059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwwdddcwjwcwdjjww. What is prob of picking 1 w and 1 j?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 62830441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + 0)*-4 + (936\/60 - 1302\/62).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.8?  (a) -0.5  (b) 6\/17  (c) -0.107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**1*f)\/f**(2\/11) assuming f is positive.\nAnswer: f**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 26771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 70011*m*q - m - 289*q + 850 wrt m.\nAnswer: 70011*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13573*w + 25774*w - 12192*w.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((-3 + 1*sqrt(147) + sqrt(147))**2 + (sqrt(3) + sqrt(243) + 3)*-5)*-5.\nAnswer: -5820 + 1340*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the third derivative of -r**4\/4 + r**2. Let t(i) = 625*i + 13*i**2 + 634*i - 1884*i + 626*i - 6*i**2. Give t(o(s)).\nAnswer: 252*s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 51 and 397167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 76 = v - 0*v, 5*v - 440 = 5*k. Suppose 0 = 3*q - 71 - v. Let a = q + -17. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13141130 (base 8) to base 15\nAnswer: 3ce20b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132*c = 180*c + 96 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m - m + 424. Suppose 0 = 4*z + 5*i - 2 - 216, -2*i = 4*z - m. Does 26 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 256297 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 + -3. Solve v = -3*d - 0*g - 5*g - 22, -3*d + 13 = -2*g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k\/((k*k*k**(4\/9))\/k)*k**(-5))**(-44) assuming k is positive.\nAnswer: k**(1760\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1612443?\nAnswer: 3, 7, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, -46, 0, 1\/6, -1?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12800393 and 2810?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -198*g + 193*g + 3*b + 1 = 0, 4 = 2*g - 3*b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 51*q**3 + 2*q**2 - 5*q + 5. Let m(l) = 77*l**3 + 3*l**2 - 8*l + 8. Determine -8*f(x) + 5*m(x).\nAnswer: -23*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/2, 62, -2\/9, -4\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 times -0.27\nAnswer: 0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is a2b1 (base 16) in base 11?\nAnswer: 29323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110100011111 + 1000?\nAnswer: -110100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 + 85*t**2 - 5342*t - 1091. Give g(-127).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 - ((55 - (50 - 8)) + -13)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -15 + 67. Let d = v + -51. What is the biggest value in 0.3, 1\/2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n + 5 - 11 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 185, 971, 2657, 5555, 9977, 16235?\n\"Answer: 52*m**3 + 138*m**2 + 8*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 3 - 8)*(2*a + 2 - 2) to c + t*a and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2098 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n = -4*k - 32, k + n + 28 = -4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i + 4*x + x + 5, -7 = i + 3*x. Suppose -3*g + 3 = -3*w, 4*g - 2*w - 1 = 3. Suppose 1 + g = i*a. Is a less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -351*x + 8 - 9. Determine q so that 7*q**4 - 8\/3*q - 12*q**2 - 22\/3*q**3 + x = 0.\nAnswer: -2\/3, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11808 and 862107?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1662 - -930. What is d rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**3 + 4*i**2 - 6*i - 3. Let t be j(-5). Let a = t - -2. Suppose 7*w - a*w - 261 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2041 + 3688. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) 0.4  (b) 0.3  (c) -3\/4  (d) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -3 * -764550\nAnswer: 2293650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes after 1:33 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87 is divided by 73.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-6)\/(w\/(((w**(-1\/3)*w)\/w)\/w)))\/(w**(-3)\/(((w**6*w)\/w)\/w))*w**(-2\/3)*w**(1\/5)*(w\/w**6)\/w**(2\/5) assuming w is positive.\nAnswer: w**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**3 - 3*q + 2. Let k be t(2). Let d be (5 - 1) + -6 + k. Let s = d + 18. Calculate the highest common divisor of 28 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4735422, 4735411, 4735400, 4735389, 4735378?\nAnswer: 4735367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 37216 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2069 - -386. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20112104 (base 5) in base 9?\nAnswer: -263767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1250021 (base 6) in base 4?\nAnswer: -100301131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - -2) + 0 + (-5 - -1) + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, m: 2, k: 9, u: 7, d: 1}. What is prob of sequence gud?\nAnswer: 7\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -33\/376 and 52\/3.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1987 + 1984. What is the third smallest value in j, -1\/5, -3.8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -6*o + 14. Let m(g) = g - 1. Let i(z) = 3*m(z) + s(z). Let l be i(3). Solve l*d + 3*c = 10, 4*d - 28 = c - 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**2 + 1. Let a(g) = g**3 + 9*g**2 - 1. Let n be a(-9). Let p(u) = 3*u**2 - 61*u + 26. Let c(h) = n*p(h) - m(h). What is the tens digit of c(24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -24659 + 24659.3. Let z(w) = -8*w - 4. Let i be z(-4). Let h be -1 + -1 + i\/20. Which is the nearest to h?  (a) -4  (b) y  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20499445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117) + 3*1*sqrt(117))*2)\/(1*(sqrt(9) - sqrt(81)*2)).\nAnswer: -8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -305 = -3*s + 4*w, 2*w + 3 = -1. Let p = 695\/7 - s. Let j be (-1)\/(-2)*(-6)\/9. Put p, -2, j in descending order.\nAnswer: p, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-858)\/18 - 2\/(-3). Let d = t - -59. What is the first derivative of -24*p**4 - d - 18 - 5*p**4 wrt p?\nAnswer: -116*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/(-4)*-2*(8 - 9). Suppose 0 = 18*u - 3 + j. Solve -a - 4*a = u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 + 6 - (-3 + 3 - 29). Suppose 5*t + 34 = -s, t - 4*s = -3*s - 2. Let x = 11 + t. Solve x*p = v - 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*v - 5*v**3 - 70*v - 96*v**3 + 5*v**2 - 6*v**3 wrt v?\nAnswer: -642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 12\/35 in 0.5, 10, 3, 2\/5, 0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -4*y - 10. Let v be m(-6). Solve 2*b + 12 = -2*z - 2*b, 2*b = -5*z - v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.1  (b) -1  (c) 3\/68  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.059 + 37.059. Which is greater: r or -2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 + 7*k**2 - 6*k - 8. Suppose -3*z + z = w - 4, 0 = -3*w - 4*z + 2. Let m = 0 - w. Determine u(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1\/2*n**2 - 8 - 4*n = 0. What is n?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4  (b) 3  (c) 477  (d) -59  (e) -5  (f) 0.3  (g) 1\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, t: 2, c: 1, r: 4, m: 2, l: 4}. What is prob of picking 1 m, 1 z, 1 r, and 1 t?\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:40 PM and 4:58 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3271\/1092 + 81\/28. Let j = n + -206\/273. Let x be 0 + 2 + 12\/(-15). Which is the third smallest value?  (a) 4  (b) x  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16909, 33818, 50727, 67636, 84545, 101454?\nAnswer: 118363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -24.11 or 0.051?\nAnswer: -24.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(114)*-3*-4)\/((sqrt(54)*-1 - sqrt(6)) + sqrt(6) + sqrt(6)).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 14493 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 36897289 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 288441790 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21818 divided by -11.\nAnswer: -21818\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from dqdqddqdqqddqdddqqdq.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 54345.36 minutes to microseconds.\nAnswer: 3260721600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/(-26)*156\/390.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) -2  (b) -1\/6  (c) -0.0601  (d) 1\/7  (e) 8  (f) 0.23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -175\/3*i**2 - 1\/3*i**4 + 500\/3 - 100*i - 8*i**3 = 0. What is i?\nAnswer: -10, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -24*p**3 - 28*p**2 + 8*p. Let b(i) = 8*i**3 + 9*i**2 - 3*i. Let r(c) = -8*b(c) - 3*z(c). What is the third derivative of r(y) wrt y?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/14 - (-56)\/(-98)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -336*d - 25891. Give a(-77).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11181 is divided by 920.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 14 - 14. Put m, 3, -1 in decreasing order.\nAnswer: 3, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 357?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 842.6364 millilitres?\nAnswer: 0.8426364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + -4 + (-6 - (0 + -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -5*u + 33 + 2, -j - 27 = -3*u. Solve -2*p - f = -3*p + u, 2*p = 4*f + 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 34, 10 in ascending order.\nAnswer: 0, 10, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, l: 2, h: 5, i: 8}. What is prob of picking 1 r and 1 h?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 58014*-0.4\nAnswer: -23205.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -1560  (b) 0.069  (c) 5  (d) 1  (e) -2  (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 673722450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 11*k**2 - 40 + 2*k + 15 + 16. What is the units digit of c(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the second derivative of 51*l**3\/2 - 30*l**2 + 278*l. What is the derivative of q(j) wrt j?\nAnswer: 153","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3337376 less than -24.3?\nAnswer: 3337351.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/b**(2\/3))\/b)**5*(((b\/((b\/(b*b**(-1)*b))\/b)*b)\/b)\/b)**39*b**(-3)\/(b\/((b*b**(1\/10)*b)\/b*b*b))*b**(2\/11)*b*b*b**5 assuming b is positive.\nAnswer: b**(13843\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**6\/o)\/o)\/(o*(o*o\/o**(-11))\/o)*(o**(2\/29)\/o)\/(o*o**(-3)\/o))**(3\/4) assuming o is positive.\nAnswer: o**(-603\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1347131 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1104587 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 15 and 104025?\nAnswer: 104025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -137\/91 - -14\/13. Sort 0.1, g, 5\/3 in decreasing order.\nAnswer: 5\/3, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21 - (29 - (8 + 52)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rvrhvh. Give prob of sequence hvvr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -449406.3 rounded to the nearest one hundred?\nAnswer: -449400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 60, 64, 68, 72, 76, 80?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as 9545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n + 1. Let l(y) = 33*y + 55. Give l(t) - 55*s(t).\nAnswer: -22*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {i: 1, u: 2, g: 3, n: 4, f: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes after 7:27 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20482, 20521, 20580, 20659?\nAnswer: 20758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-56)\/(-56)*138\/(-4 + -2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 431 + -367. Is 32\/r + 3\/((-6)\/(-19801)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 99605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 165 - 164.867. Let p = 4.133 - l. What is the third smallest value in -0.3, p, -7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**3 + 6*v**2 + 8*v + 8. Determine d(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 1\/11, 2558, 1\/8, 0.4, 3, 511?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in fourty-eight fifths of a millimeter?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmqq when four letters picked without replacement from {p: 1, q: 9, m: 2, a: 2}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6171, 25496, 57713, 102828, 160847?\nAnswer: 231776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 310059173 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 29\/6 - 16\/3. Which is the fourth biggest value?  (a) 4\/3  (b) 1\/5  (c) 14\/9  (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 138677 divided by -11\nAnswer: -12607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55*r - 53*r - 1 + 34 - 12*r**2 + 86*r**2.\nAnswer: 74*r**2 + 2*r + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 420a2 + -2?\nAnswer: 420a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 12 = -3*h, -2*x - 3*x - 11 = -2*h. Let r be 2 + (-5)\/5 - 5\/x. What is the highest common divisor of 24 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gggtgt.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y - y - y**4)*(3*y + 21 - 21) + (4*y**3 - 4*y**3 - 3*y**3)*(-8*y**2 - 9 + 9).\nAnswer: 21*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-3))\/((-632)\/(-711))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1288, 3355, 6188, 9787?\nAnswer: 14152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2973479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 38.21733 millilitres in litres?\nAnswer: 0.03821733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 378\/(-2646) - 15\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in 4, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 914935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-12)\/5)\/((-402)\/680720)?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.2, 4, -2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 17*w**3 + 11*w**2 - 2. Let b(h) = -9*h**3 - 6*h**2 + 1. Let l(v) = 7*v - 8. Let c be l(2). Give c*x(k) + 11*b(k).\nAnswer: 3*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**2 - 17*a - 14. Let k be r(-16). Suppose -5*p + 989 - 94 = 0. Suppose -k*x - 53 = -p. Calculate the highest common factor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -9*c + 21. What is y(11)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1143*a**2*h**4 - 266*a**2 - 122*a*h**4 - 1226 wrt h.\nAnswer: -4572*a**2*h**3 - 488*a*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 4 = -y, 0*y - y = -3*g + 8. Suppose -g*z + 4 - 6 = 2*n, -z = 2. Which is bigger: 17\/11 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19167 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:08 PM and 4:04 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 214 + -179.9. Let x = q + -34. Which is the second biggest value?  (a) x  (b) -2  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t + 1. Suppose 0*s - 2 = 2*s. Let u(h) be the third derivative of 0*h**3 + 0*h + 1\/24*h**4 - h**2 + 0. Determine s*q(j) + 3*u(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**3 - f**2 + 12. Let l be c(0). Suppose 2*j + 2*j = -l, -4*s - 2*j = -42. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 218280963?\nAnswer: 3, 107, 680003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.07 in 3, 4, -5, 32\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnannnnannnnannn. Give prob of sequence na.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4179160?\nAnswer: 2, 5, 104479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 6222231 (base 7) to base 14\nAnswer: 155788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0923 - 0.02008?\nAnswer: -0.11238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -3*x**3 + 2*x**2 + x - 2. Let k(r) = -r**3 + r**2 - 1. Let t(n) = a(n) - 2*k(n). Factor t(m).\nAnswer: -m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 67*o + 62*o - 30*o**2 - 126*o as y*o**2 + t + c*o and give y.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -15*l**3*n**2 - 70*l**3*n - 74*l**3 + 4*l**2*n**2 - 114*l**2*n + 3*l*n**2 + 4*l*n - n wrt l.\nAnswer: -90*n**2 - 420*n - 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence urup when four letters picked without replacement from uupuruurruku.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 550 is divided by 270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-4)*(-280)\/(-21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**2 - 167*j - 783. Calculate the remainder when s(-5) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -377 and -515679?\nAnswer: 194410983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5832*l**2 - 6000*l**2 - 1 + 11801*l**2.\nAnswer: -31*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.074653 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*i**3 + 19*i**3 + 12*i**3 + 20*i**3 - 70*i**3 + 10*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**2 + 4*c + 2. Let m be j(5). Let i be (m\/(-6))\/(2\/68). What is the first derivative of 17*x - i*x - 2*x**3 + 5 wrt x?\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 1\/3  (b) -1\/10  (c) 1  (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 1072*w + 11775. Let q(l) = -8574*l - 94173. Let j(r) = -17*h(r) - 2*q(r). What is the derivative of j(m) wrt m?\nAnswer: -1076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 2 y, and 1 s when four letters picked without replacement from {y: 3, s: 6, d: 3, l: 1}.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 457 a factor of 470219615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*v - 9 = -0*v. Calculate the remainder when v*((1 - 0) + 2) - -23 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 137 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 - -12. Let w = -0.0066 + -0.1934. What is the fourth smallest value in -5, 3\/2, w, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 5*j - 60. Let q be u(12). Let f(a) be the first derivative of 9 - 8\/3*a**3 + 1\/2*a**2 + q*a. Find the second derivative of f(z) wrt z.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 24743141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 7688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, -1\/6, -477, -1\/5, -1.63?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 35 - 43. Let g = m + 8. What is the second biggest value in 5, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/7*(32\/10)\/((-58)\/(-435)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 84649547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 1201*b - 157. Is 42 a factor of j(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**5\/7 + 94*m**4\/7.\nAnswer: 2*m**4*(m + 47)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -5217.131 - 13.6?\nAnswer: -5230.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 17 - 73 = 0. Calculate the highest common factor of q and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0, 3, -0.2769?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**2 - 13*l - 2. Let y be (-10)\/(-35) - (-16821)\/(-49). Let h = y + 356. Give c(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 13) + 545\/35?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h - 18 + 4 = 2*w, -w = -4*h + 19 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -7*l**2 - 35*l - 39. What is m(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -2*f**3 + f**2 + 5. Let j(n) = -124*n**3 - 3*n - 3336. Let h(u) = j(u) + 3*o(u). Differentiate h(q) wrt q.\nAnswer: -390*q**2 + 6*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8c34dc (base 14) to base 2.\nAnswer: -10010001101001110111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = -5*z. Suppose z = -4*n + 7 + 5. Suppose 5*u**3 + u**5 - 2*u**n - 5*u**3 + u**3 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 2*p + 4. Let c be j(6). Let h = c - 12. Let v be (h + (-26)\/7)*7. What is the highest common divisor of 6 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * -23514.\nAnswer: 47028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 + z**2 - z + 2. Let j be g(0). Solve 1 = -p + j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 77728?\nAnswer: 2, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (88 - 87) + 1 + (-3 - 1 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -19170?\nAnswer: 1\/3834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 23085 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.7 + 2.3. Let n = -0.2 - -1.2. What is the second smallest value in n, 3, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 57554 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 + 5*g**2 - 5*g + 10. Let h be o(-6). Solve -4*a + 2*a = h, -6 = -2*y + 3*a for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 12*u - 80. Let s be p(15). Suppose 13*n + s = 17*n. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 136\/3 - 21\/63. Suppose 0*n = -2*n + 48. Let v = s - n. What is the remainder when v is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8579388?\nAnswer: 2, 3, 714949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -3*j**2 - 386*j + 318. Let y be k(-128). Calculate the highest common divisor of 182 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2989.5 - 2989. What is the nearest to 0.03 in k, -1.37, 2, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k + 3*k - 2*k - 1 + k + 1 + (2 - 5 + 1)*(-2*k - 2*k + 3*k))*(k**3 - 7*k + 7*k).\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 13 + -11. Let w = -0.1 + 0.1. Let l = w + o. What is the nearest to 1\/2 in -4, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (676*p - 679*p + 3 + 3)*(-6 - 1 - 7)*(0 - 3 + 2)*(-4*p**3 + 5*p**3 - 3*p**3).\nAnswer: 84*p**4 - 168*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 3 = 6. Let w be -11*(y + 0)*1. Let p(t) = 2*t**2 + 38*t + 15. Let a be p(-20). What is the greatest common factor of w and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 201085, 402173, 603259, 804343, 1005425, 1206505?\nAnswer: 1407583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -73 in -3\/7, -222, 3\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*c*p*s + 2*c*p*t - 16*c*s + 2*c*t**2 - c + 3*p*s - 2*p*t**2 + s wrt p.\nAnswer: -2*c*s + 2*c*t + 3*s - 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**3 + 5*u**2 + 15*u - 19. Let v = 35 - 29. Is p(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 7*p**2 + 5*p. Let r = -13 + 3. Let a(m) = -3*m**2 - 2*m. Give r*a(t) - 4*u(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - -45259.\nAnswer: 45255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y, 1 x, and 1 m when four letters picked without replacement from yyreyyxefxyrm.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 71351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the first derivative of -4\/7*u**2 - 2\/35*u**5 - 1 - 8\/7*u + 2\/7*u**3 + 1\/7*u**4. Factor x(v).\nAnswer: -2*(v - 2)**2*(v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 471558507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, -4, 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -40*l - 30*l - 2 + 66*l + 105*l**4 - l**2 wrt l.\nAnswer: 1260*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2599 = 51*x + 23*x + 2895 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f - 2. Suppose 24*a = 6*a + 144. Let o be i(a). Calculate the highest common factor of 12 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 4*j**3 - 9*j + 5. Let d = 19 + -27. Let z(g) = -6*g**3 + 14*g - 8. Let a(f) = d*o(f) - 5*z(f). Find the second derivative of a(b) wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -20*u. Let s(g) = 2*g**2 + 4*g. Let y(j) = -j**2 - j. Let a = -107 + 103. Let v(h) = a*y(h) - s(h). Give f(v(k)).\nAnswer: -40*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 283156111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o**4\/2 - 7120*o**3 - 6754500*o**2 - 2129900000*o + 4286875000 = 0.\nAnswer: -950, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8*(-4)\/(-208) - 134\/(-26).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 505552053 to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1828 is divided by 178.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1478 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 12 = -3*w, t - 5*w + 20 = 2*t. What are the prime factors of -474*(4\/1 - t - 5)?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 1. Let l(q) be the first derivative of -5*q**3\/3 + 2*q**2 - 3*q - 4006. Determine l(d) + 3*p(d).\nAnswer: -5*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 403806 to the power of 1\/2, to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the third derivative of -o**5\/60 + 3*o**4\/8 - 2*o**3 - 9*o**2. Let k be j(7). Factor 2\/3*q - 2\/3*q**k + 0.\nAnswer: -2*q*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 6, x: 1, k: 11}. What is prob of sequence ox?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3487?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18 - 11. Suppose w = 5*a - 4*a + y, 9 = -3*w - 3*a. Solve -w*h - 10 = 5*i - 4*h, -2*i - 2*h + 10 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**3 - 18*s**2 - 35*s + 846. Calculate the remainder when 548 is divided by t(18).\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 34 - 24. Let b be (l\/6)\/((-4)\/(-48)). Calculate the highest common factor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 13*k**3 + 11*k**2 - 5. Let d(h) = 14*h**3 - 3 - 2*h**2 + 8*h**2 - 7*h**3. Let s = 41 + -47. Give s*g(p) + 11*d(p).\nAnswer: -p**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 4*v**3 - v**2 + v - 1. Let a be o(1). Let i(q) = 4*q**2 + 25*q + 8. Let b be i(-6). Put -12, b, 4, a in descending order.\nAnswer: 4, a, b, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-27*(-30)\/180)\/45 - (-2 + 499\/240)?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.4  (b) -5  (c) -12\/1207  (d) -0.92\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 55046293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -22328356750*l**4 + 533869700*l**3 - 2313360*l**2 + 3676*l - 2.\nAnswer: -2*(53*l - 1)*(595*l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 + 6*i**2 - i + 2. Let n be q(6). What is the common denominator of -21\/5 and (n\/10)\/(4\/(-37))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -796 - -793. Let x(q) = 2*q**2 + 6*q + 6. Give x(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the second derivative of b**5\/100 - b**4\/40 - b**2 + 57*b. Let f(y) be the first derivative of x(y). Find j such that f(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 7948*p**2 - 13*p + 2. Let q(d) = 678*d. Calculate q(k(f)).\nAnswer: 5388744*f**2 - 8814*f + 1356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -130602, -130618, -130634, -130650, -130666, -130682?\n\"Answer: -16*h - 130586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10246, -19375, -28504, -37633?\nAnswer: -46762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2.843878, 3\/5, 7?\nAnswer: -2.843878","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**3 + z**2 - 7*z + 6. Let c be b(2). Solve -4*q - 2*l = -8, -4 = -c*q + 3*l + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -j - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2, -147, -0.05, -5, 1\/4, 674?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 104.7 - 42.1. Round i to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 54\/8208*-120*7*4\/42?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes after 1:21 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b + 1. Let w be a(-4). Suppose 0 = -5*d - 5, 0 = -2*k + w*d + 99 - 30. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 4*v - 37. Calculate u(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 + (0 - (29 + 1)). Suppose 28 = 11*k + 369. Is k at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -175 divided by 9\nAnswer: -175\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 - 3. Let i = 0 + t. Let v = 4.8 + i. What is v rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*k - 415 - 341. Calculate the highest common factor of k and 6084.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 20 - 66?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 899 = -c, -3*j - 23*c = -27*c - 536. What is the greatest common factor of j and 320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 8*i - 2172 = 0. Which is greater: 182 or i?\nAnswer: 182","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 603 divide 42953316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.79917 times 7405\nAnswer: -5917.85385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-seven fifths of a millennium?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of (1 - 56\/32)\/(2*1\/(-80400))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**3 - 4*v**2 + 7*v - 5. What is r(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 3*i**2 + 26*i - 10. Let c be w(-9). Let k(s) = -s**2 + 4*s + 5. Let h be k(4). Suppose -5*b + p + 9 = -11, 4*b = 5*p - h. Sort c, 4, b.\nAnswer: c, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-62)\/(-992)*-12*(172\/(-3))\/1?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -16\/21449311 and -55\/87867.\nAnswer: 193043799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 669\/(-18) - 9\/(-3). Suppose 4*z + 0*u = u + 140, -z - 5*u = -14. Let d = z + t. Which is the second smallest value?  (a) -1  (b) -5  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 81981 and 18.\nAnswer: 163962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**2\/3 + 302*v\/3 - 200.\nAnswer: -(v - 300)*(v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 46 and 3711806.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.1 - -3. Suppose 4*p = -p - 10. Let m = -61768 + 61766. Which is the nearest to p?  (a) w  (b) m  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/1564 and 29\/10?\nAnswer: 7820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 35 - 849. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(24)\/((sqrt(12) - sqrt(60)\/(sqrt(5)*-1)) + sqrt(12)) - (-1 + sqrt(128) + -1 + sqrt(128))**2.\nAnswer: -516 + 193*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2688 and 1451904.\nAnswer: 10163328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 144072 and 1566?\nAnswer: 144072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 926 - 2*h**2 - 468 + 204*h - 458 wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**3 - 7*u**2 + 4*u + 15. Let r be f(6). Let x be -2*3\/18*-6. Let k(d) = r*d + x*d - d + d. Let m(p) = 2*p**2. What is m(k(s))?\nAnswer: 50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:20 AM and 8:31 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4807 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 96 and 58408.\nAnswer: 700896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -752\/12171 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 131\/10 + -63\/5. Put q, -0.04, 3, 1\/4 in descending order.\nAnswer: 3, q, 1\/4, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*r**2 - 5*r - 11*r**2 - 2*r**3 + 2*r**2 to u*r**2 + n*r**3 + b*r + k and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 66.90178 + -66.9. What is g rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 5382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**2 + 7*x - 3. Let i be w(6). Suppose -2*f + 7 - i = 0. Suppose 2*c - 5*a - 41 = 0, f*a + a = c - 19. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47251?\nAnswer: 47251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16642, 11, 2.\nAnswer: -16642, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72 = 11*b + 6 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 33203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 5 = -3*x. Which is the closest to 0.1?  (a) -2\/7  (b) x  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 1104*c**2 + 26*c - 572. Let o(z) = -1104*z**2 - 23*z + 569. Let m(j) = -8*b(j) - 9*o(j). What is the second derivative of m(h) wrt h?\nAnswer: 2208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -599 < -627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.032882 plus -14.0605?\nAnswer: -14.093382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48840 = 3*h - 6993. Suppose 0 = -33*y - 2837 + h. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 127 divide 95885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -19, 21626, -85 in increasing order.\nAnswer: -85, -19, 21626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 756\/9280 - ((-400)\/560 + (-318)\/(-406))?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -5*j**2 - 512*j - 1963. Let p be q(-4). Suppose -4 = -0*y - 4*y. What is the greatest common divisor of p and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 278 = -9*y + 1547. Does 48 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1334349152 a multiple of 910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lwwwwwwwwwwwwww. Give prob of picking 1 l and 3 w.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 10, 0.8, 0 in ascending order.\nAnswer: -1, 0, 0.8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*y - 286 + 604 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -314 = 8*i - 986. Suppose 5*w + 10 = 0, -4*w + 1 + i = 3*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 2*l - 1 - 3, -5*l - 34 = s. Let j be ((-3)\/l)\/(1\/(-10)). Let m = -1 + 6. Sort m, j, -2 in ascending order.\nAnswer: j, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*k**2 + 18*k**2 - 17*k**2 to n*k + o + w*k**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-41 + 18 - 25 + (2 - 2 - 2)*(3 + 1 - 2) + 31 - 22 - 17)*(-5*v**2 - v**2 - 2*v**2) + 2*v**2 - 2*v**2 + v**2.\nAnswer: 481*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrrq when four letters picked without replacement from rrqqrjjjjqjrjjjj?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 11) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-374030)\/(-12430) + 64\/12*-6?\nAnswer: -21\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7931*x + 4079*x + 67894*x.\nAnswer: 79904*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8 and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9864 is divided by 3104.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*s**2 - 24*s + 2*s**2 + 2*s**2.\nAnswer: 4*s**2 - 24*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 91571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 0 + (32 - 32) - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -7.7, 1\/3, -1, -9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the third derivative of -f**6\/15 - f**5\/12 + 5*f**2. What is the third derivative of c(i) wrt i?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 46772, 46753, 46722, 46679?\nAnswer: 46624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 462 and 210?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 + 2)*(2*a - 4*a + 0*a) - 2*a - 5*a + 5*a + (2*a - 2*a - 2*a)*(1 - 2 - 1) - 5*a + a + 2*a - 2*a + 0*a + a + (-5*a - 2*a + 5*a)*(0 - 2 + 1).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -54 + 42. Let d = -8.853 - 0.147. Let g = d - n. Which is the closest to g?  (a) -4  (b) -5  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*d + 540 = -10*d. Suppose 0 = -4*n - d, 2*o - 6*n = -5*n + 9. Suppose -6*s = -4*s. Solve 4*h + 18 = h - o*g, s = -h - 3*g - 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -5*p + 33, 0 = -8*p + d + 49 - 4. Which is smaller: p or 161\/26?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/3 + (-1 - 12) - 100\/(-150)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13212.\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 1 + 1)*(-5 + 15 + 4)*(-9*a**2 - 10 + 10) - a**2 - 4*a + 4*a as r*a + v + g*a**2 and give g.\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34.88071 years to centuries.\nAnswer: 0.3488071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the first derivative of -280*v**3 + 100*v**4 - 1056*v**5 + 24*v**2 - 80*v + 296*v**2 - 127 + 1043*v**5. Suppose k(r) = 0. Calculate r.\nAnswer: 2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p - p - 4*p)*(142 + 18 - 3).\nAnswer: -628*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 75178 is divided by 5780?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (7684\/8)\/((-1)\/10*-5). Calculate the greatest common divisor of j and 339.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 93.17225kg in micrograms?\nAnswer: 93172250000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 289071?\nAnswer: 3, 32119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -347.83 and -1.4?\nAnswer: 486.962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 592559642 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -18*l + 69. Let h be a(-16). Let m = h - 79. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5*-754293\nAnswer: 3771465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 63674512 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tlll. Give prob of sequence llt.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*h**2 + h**2 + h**2)*(10*h**2 - 2*h**2 + 0*h**2) + 3*h**4 + 3*h**4 - 4*h**4.\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + -6942.7?\nAnswer: -6947.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes after 6:42 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6*a*f*h*l**2 + 8*a*h**3 + 4*a*h*l**3 + 55*f*h**3*l**3 - f*h**3*l**2 + h**3*l**3 wrt a.\nAnswer: 6*f*h*l**2 + 8*h**3 + 4*h*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 1\/2, 1\/4, 0.2384 in decreasing order.\nAnswer: 1\/2, 2\/5, 1\/4, 0.2384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 2*b**2 - 7*b - 40. Calculate w(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, m: 1, j: 2, d: 2, n: 1, f: 2}. Give prob of sequence dmn.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - 5 - 1)*(0*s + s + 2*s) + 69*s - 1367 - 1351 + 2702 to a*s + l and give a.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1683500.\nAnswer: 2, 5, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.609071um to meters.\nAnswer: 0.000002609071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = p - 5*p + 5*y, -3*y = -4*p - 9. Let m be (p*1)\/(45\/10). Which is the third smallest value?  (a) m  (b) -0.1  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7540840 and 1325?\nAnswer: 37704200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5963 + 793 = -5*n - 5*v, 0 = 2*v - 2. What are the prime factors of n?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2194893.9 rounded to the nearest one thousand?\nAnswer: 2195000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from vfkbvvvfbkvfvkssbk.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + g + 3 = 1, g + 6 = 2*a. Suppose -7*c + 2*c - 3 = -2*s, 0 = -c + a. Suppose 2*i + 8*w = 3*w - 77, 0 = -4*i - s*w - 160. Round i to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 77154.5 millimeters to kilometers.\nAnswer: 0.0771545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 9, v: 9}. What is prob of picking 2 o?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1451, 5154, 11103, 19298, 29739, 42426?\n\"Answer: 1123*a**2 + 334*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35678*n + 6972 - 1984 = 35794*n for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**2 + 9*c - 4. Let i be p(8). Suppose i*t = 9*t - 25. Solve 4*o - 5*o = a - t, 3*o + 4*a = 19 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*u + 12. Suppose 2*m = -u*v - 0*v + 156, v = 4*m - 268. Suppose -2*s = 2*d - 34, 2*s - m = -2*s - 2*d. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6001 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l - 2*w + 84, 5*l + w + 132 = 27. What is the units digit of ((-6)\/4)\/(l\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 254 = -0*z - 2*h, 3*z - 4*h - 193 = 0. Calculate the highest common factor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 158 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 124360 and 350.\nAnswer: 4352600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1590532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 26*c**2 - 234*c + 234*c. Let l(o) = o**2. Calculate a(l(n)).\nAnswer: 26*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 - -1)*9\/6. Is 30\/(-9)*a\/(-1) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6337376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 2*k + 9. Let q(a) = a**2 - 9*a + 4. Let g be q(8). What are the prime factors of (1 + k\/(-6))*g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, f: 3, i: 1, g: 2}. What is prob of sequence zgfi?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 769 + -2 + 4 - -4. Suppose 5*a + 0*t - o = -t, -5*t - 775 = -5*a. Calculate the greatest common divisor of 62 and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 881736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10 and 176675.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.3  (b) -2.3  (c) 8783  (d) 0.1  (e) 3  (f) -0.4  (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 3\/5  (b) -4  (c) -1\/10  (d) 1  (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 123081260?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -502 - -503. What is the closest to 2\/43 in 5, -5, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes after 1:04 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-27 + -11 + 1 - -3) + 13.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -388803.2 rounded to the nearest 1000?\nAnswer: -389000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (3\/(-1))\/(18\/(-1086))?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u - 6. Suppose 3*h - 10 + 1 = 0. Suppose -2*z = 2*q + 10, 0 = -h*q - 0*q - 2*z - 13. Let d(k) = k - 5. What is q*g(m) + 4*d(m)?\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**3 - 8*a**2 - a + 16. Let s be k(8). Let i(y) = -19 + 7*y + 9 - s - 12. Let r be i(5). What is the greatest common factor of 15 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 + 100bce?\nAnswer: 100bd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.37626 litres to millilitres.\nAnswer: 5376.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-108)\/24)\/(3\/(-3)*6). What is the nearest to -15 in 8, -2\/9, c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -866 - -867. Which is the biggest value?  (a) 0.05  (b) r  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 5*m. Let u(o) = o**2 - o + 5. Suppose -4*y - 3*v = -15, 5*y - 6*v + 5 = -5*v. Let h be u(y). Let c(p) = -7*p + h*p + 0*p + 5*p. Give c(q(d)).\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-40)\/(-15))\/(-4)*-1*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 224246.7 litres?\nAnswer: 224246700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 165*v - 1238. What is c(8)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 127382750 and 12738275?\nAnswer: 127382750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70820?\nAnswer: 2, 5, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1026 and 1296.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 2*o**2 - 4*o + 2. What is the units digit of j(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*q + 12 - 12)*(q**3 + q**3 + 0*q**3) + (q + 3 - 3)*(0*q**3 + 0*q**3 - 2*q**3) + 4*q**4 - 2*q**4 + 4*q**4.\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 29.87219 millennia in centuries?\nAnswer: 298.7219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 55 - 48. Suppose k = -h + 44. List the prime factors of k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 10 = -3*n. Suppose 12 + 66 = n*w. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.7 + -60.93945017565.\nAnswer: -61.63945017565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -7*i**3 - 11*i**2 + 3*i + 1. Let s(y) = -13*y**3 - 21*y**2 + 7*y + 1. Let c(a) = 5*f(a) - 2*s(a). Is c(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:03 PM and 1:48 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5351*m - 8106*m = -2136*m + 3776*m - 1358730 for m.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 3386275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 42, 148, 324, 570?\nAnswer: 886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/690 and 35\/1242.\nAnswer: 6210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 AM and 3:03 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/1*(-20)\/80. Let t be s\/(2 - -3)*1. Which is the second biggest value?  (a) 3\/8  (b) t  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.143 take away -10.958?\nAnswer: 11.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -2 + -9 + (10 - (18 + -30)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 714\/408*16 - -95.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 10 * -23.5\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5097042.\nAnswer: 2, 3, 17, 16657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -31, 4, -213.\nAnswer: -213, -31, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9222247 rounded to four decimal places?\nAnswer: 0.9222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 136, 276, 416?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiiuwiiux. What is prob of sequence iu?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -24.48726 rounded to zero decimal places?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 11 + 400?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 16*c**2*h + c**2 - 6937*c*h wrt c.\nAnswer: 32*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -25*m**2 - 5179540*m + 2071820.\nAnswer: -5*(m + 207182)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -55*r + 724. What is s(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, b: 4}. What is prob of sequence bbr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 7\/5 + 4\/(-10). Let i be (-2 + 4)*(1 + 0). Suppose -i*r - 4*n - n = 15, 2*r + 3 = -n. Which is smaller: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 176\/(-220)*(0 + 20\/(-168))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i. Let r(z) = 6*z**2 + 4893*z - 4. Let p(x) = -31*x**2 - 24467*x + 21. Let q(y) = -4*p(y) - 21*r(y). What is g(q(s))?\nAnswer: 2*s**2 + 4885*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:21 AM and 7:00 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 4 times 137553\nAnswer: 550212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*k**2*n**2 - 274*k**2*n - 2*k**2*u**3 - k**2*u + k*n + 1343531*n**2*u**3 + 5*n*u**3 + 1626*n*u wrt n.\nAnswer: 8*k**2 + 2687062*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (22 + -22)\/(-1*3). Suppose -2*v - 5*l + 5 = v, 5*v - 15 = -5*l. Suppose 3*h - 67 = v*i - 0*h, -2*i + 5*h - 23 = y. Is -14 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the second derivative of -d**3\/6 - 3*d - 3. Let a(y) = 12*y**2 - 6*y. Let m(p) = a(p) + 5*v(p). Let s(h) = 3*h**2 - 3*h. What is -6*m(z) + 22*s(z)?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/(-12)*2*(-44)\/110.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 645 and 2028.\nAnswer: 436020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*y + 3*w + 127 = 43*y - 34, 431*w + 54 = 434*w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8 - (8 - -5)) + (1 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -426*x + 71022 = 48018 for x.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes after 10:03 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/50568 and 1\/23177.\nAnswer: 556248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9457?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12970907.\nAnswer: 43, 301649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 3 + 8 = x, -4*x - 2 = -3*m. Suppose m*f + 3*t - 30 = 0, -f + 3*f - 5*t = -2. Let q(v) = 46 + 55 + v + 49 + 0*v + 59 - 227. What is q(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.119 - 0.13. Which is the smallest value?  (a) -0.5  (b) 4  (c) v  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -5*l**2. Let r(w) = -w**2 - 1. Let i(y) = -b(y) + r(y). What are the prime factors of i(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 679.7989 decades?\nAnswer: 6.797989","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Calculate ((273\/(-13))\/(-147))\/(4\/7).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6888?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 + 145. Let w = k + -44. Suppose 3*p = 251 + w. Calculate the highest common divisor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 351*h - 283*h = 1496 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3b06b0 - -5?\nAnswer: 3b06b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 132133 + 401?\nAnswer: 133034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61*k + 20250 = -36*k. What is the lowest common multiple of k and 60?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4 - (-7)\/(28\/96). Suppose -4*l + 229 = 5*b - 1, -57 = -b - 3*l. What is the greatest common divisor of b and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -5*b + 4*b + 5*b. Let w(o) be the third derivative of o**7\/5040 + o**5\/30 - 2*o**2. Let q(j) be the third derivative of w(j). Give q(u(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 5*d**3 + d**2 + 4*d - 3. What is the remainder when 327 is divided by s(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 2 + 11*r**4 - 9*r**4 + 6*r in the form z*r**3 + m*r + n + w*r**2 + x*r**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 30083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from evvevvvvvvvvv. What is prob of picking 4 v?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15.15701635 + -15.157. Round m to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -17315 - -17340. Solve z = -5*i + 2*d, 0 = 5*i - 6*i - 4*d + 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 2*w = 123156, 0 = -5*f + 5*w + 222862 + 85038. Suppose 4*i - 4837 = -q + f, 3*i - 49821 = -3*q. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 391 and 337709.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18 - 65. Let o = 471 - 421. Let z = o + y. What is the second smallest value in z, 0.6, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2338 - 2335.718. Let s = -0.018 - g. Let o = -13.2 + s. What is o rounded to zero decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 546\/143*14652\/(-3108)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i + 6. Let s be q(5). Let l = 35 - 21. Calculate the remainder when l is divided by (2\/(-4))\/(s\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1617, 7405, 22451, 43527, 70639, 103793?\n\"Answer: d**3 + 3006*d**2 - 3*d - 4621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(24)\/(-3*sqrt(16)\/sqrt(2)).\nAnswer: -5 - sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 w when two letters picked without replacement from {b: 5, w: 4, u: 10}.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*s**3 + 632*s**2 - 12588*s + 22680.\nAnswer: -4*(s - 135)*(s - 21)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -13 (base 5) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and 134770?\nAnswer: 269540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 5 - 6*t + 3 + (2 - 2 + 1)*(-t - 1 + 1))*(2 - 3 + 2).\nAnswer: -7*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2080 = -108*c - 6*c - 46*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -2117*0.2\nAnswer: -423.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 29797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 28 + -10. Suppose -3*u = -4*b - m, 5*b + 15 = -0*b. Suppose -3*h + 20 = -z, -3*h - u*h = 3*z - 24. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 16 = 4*i - 2*i, -2*i + 1 = x. Let w(z) = -1 + 11001*z + 5 - 1. Let h be w(x). Round h to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00049851 to five dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25462 (base 9) to base 6.\nAnswer: 211215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*q**3 + 0*q**3 - 12*q**3 + 6*q**3 + 0*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.33315 and 0.1.\nAnswer: 0.43315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 2 y when three letters picked without replacement from ynnynnywwnynnyy.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -175*j - 58*j + 104 = -595. Let t(i) be the second derivative of i**5\/20 - i**4\/3 - i**3\/3 + 3*i**2\/2 - 7*i. Give t(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:22 AM and 4:59 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -140 + 225. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -59\/2  (b) 19  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.188 - -0.812. What is the fourth smallest value in 0.1, j, 6, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 39*f + 283. Calculate t(-6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -5 + 3 + 2*s - s**2 + 0 + 3. Determine i(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 400293564 is divided by 117526.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 49?  (a) -2  (b) -14  (c) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in r - 4*r + r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10 + -4. Is 21 a factor of (0 - 24)*((-26)\/n - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1 - 54*r**3 + 58*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12)\/(sqrt(40)\/sqrt(640)))**2 - (0 + (1 + sqrt(147))**2).\nAnswer: -14*sqrt(3) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.08 - -17.92. Let d = -7.7 - 5.3. Let n = d + w. Which is the biggest value?  (a) n  (b) -0.3  (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -246*b**6 - 85883*b**5 + b**3 - 28813*b**2 + 1005*b + 1.\nAnswer: -29520*b**3 - 5152980*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-64 - -64) + -1*(-10 + 1) and 13.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the second derivative of p**5\/10 - 17*p**3\/3 + 17*p**2\/2 + 8*p + 1. Find the first derivative of y(v) wrt v.\nAnswer: 6*v**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6316 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggp when three letters picked without replacement from ddggdpddgdddddd.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 213 + -6332?\nAnswer: -611b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 49*n**2 - 14*n + 8*n + 13*n wrt n?\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(90)\/(sqrt(726) + (sqrt(726) - (-1*sqrt(726) + sqrt(726))) - sqrt(726)))\/(3*sqrt(432)).\nAnswer: sqrt(5)\/396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -748774 times -2\nAnswer: 1497548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 514, 2775, 8534, 19537, 37530, 64259, 101470?\n\"Answer: 291*c**3 + 3*c**2 + 215*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7 and 3648.\nAnswer: 25536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 94\/15 and -8 - ((-2849)\/210 - -8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -41*u**5 + 6411909*u**2 + 47*u - 1180380 wrt u?\nAnswer: -820*u**3 + 12823818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4471400 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: Collect the terms in -309 + 330*l + 316*l - 2*l**2 + 309.\nAnswer: -2*l**2 + 646*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1 - -4 - (63 - 58) - 7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**3 - 5*u**2 + 6*u + 3. Let o be z(-6). Let d be (-176)\/(-20) + o\/15. Let p be ((-2)\/3)\/(6\/d). Is p smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 150 (base 7) to base 16\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 4:32 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 874 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18 + 12. Suppose -2*k + 4*u = 3*u - 1346, -5*u = -4*k + 2698. Let b be (1750\/(-4))\/(l\/k). Round b to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 4*f + 0*f = -140, -3*f + 167 = 5*b. Which is smaller: b or 241\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((sqrt(147)*-1 + 3 - -3*(sqrt(147) + -2)) + -4)**2 + 3.\nAnswer: -196*sqrt(3) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5630 + -13?\nAnswer: 5615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 103315000.\nAnswer: 2, 5, 20663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*h - 3*h + 3*f + 69, f = 3*h - 63. Suppose -5*a = -2*v - h, -v + 4*v = -2*a + 27. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i**3 + i**3 + 2*i**3)*(-3 + 2*i + 3 + 4*i - 4*i - i + (i + i + 0*i)*(-1 + 4 - 1) - 2 + 2 + 2*i - 4*i - i + 3*i) - i**4 - 2*i**4 + 0*i**4.\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -4, 6\/7, 12?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120*b - 118*b + 7*y - 17 = 0, -2*b + 2*y = -8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 160 + -21 - (-331 - -478).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -7132 + -2?\nAnswer: -7134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/28 of a week in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -21, -36, -59, -90, -129, -176?\n\"Answer: -4*c**2 - 3*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of i**7\/42 - 23*i**6\/8 - i**5\/4 + 1025*i**4\/24 + 115*i**3 + 3*i**2 - 326*i. Find o, given that m(o) = 0.\nAnswer: -1, 2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 198268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-5\/7)*(u*(u*u**(-37)*u*u*u)\/u*u)\/u)**(19\/2) assuming u is positive.\nAnswer: u**(-2242\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of 0 + 0*z - 5\/3*z**3 + 1\/12*z**4 + 2*z**2. Let m be o(7). Solve h - m = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**3 - 5*a**2 + 4*a + 5. Let x be j(4). Let q be (-3 + 2)\/(2\/(-20)). Calculate the highest common factor of x and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the second derivative of b**5\/20 - 5*b**4\/6 + 2*b**3\/3 - 19*b**2 - 22*b + 2. Let p be x(10). Solve -p*v + 5*g + 21 = 0, 4*v = -2*g + 9 - 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 3 = 1. Let p = j + 15. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 11 and -1763?\nAnswer: 1774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*a**3 + 3 - 8*a**3 - 2*a**2 - 5*a**3 + 2*a to k*a**2 + t*a**3 + r*a + g and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**2 - 15*l - 19*l + 80*l - 46*l. Let i(w) = -4*w**2 + 19*w - 16. Determine i(h(t)).\nAnswer: -4*t**4 - 19*t**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 419510 and 728.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -8 + (19 - 11) - (-2 + 11 + -6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the third derivative of 5*b**2 + 0 + 0*b**5 + 1\/180*b**6 - 1\/504*b**8 + 0*b**7 + 0*b**4 + 0*b + 0*b**3. Let n(k) = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -2*m + 3. Let k(l) = l. Let q(b) = -b**3 + 9*b**2 + b - 10. Let i be q(9). Let h(v) = i*u(v) + 5*k(v). What is the first derivative of h(f) wrt f?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(34)*2*-3)\/(sqrt(8)*6).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/(-60))\/((-392)\/420)*(-21)\/(-15).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-85)\/(-2)*30\/(-300). Are -3 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -6.417335389 from -8.12.\nAnswer: -1.702664611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(2\/2))\/((-20)\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3336 - 2912. Suppose 2*k - 4*g + 3 = 101, k + 3*g = 59. What is the highest common factor of y and k?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 4*u**3 + 4*u**2 - 4*u. Let f(r) = -r**3 - r**2 + r. Let s(p) = -7*f(p) - 2*m(p). Calculate s(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - v + 31 = 0, -4*t + 3*v - 2*v = 130. Let k = t + 33. Suppose -4*q - 13 = n - 43, 4*q + 8 = k. Calculate the remainder when n is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 3, -3, 2, 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -18 - -35. Suppose -7*x + c = 4*b - 2*x, 0 = 4*b + 2*x - 14. Let p(g) = g**3 + 4*g**2 - g - 6. What is the tens digit of p(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 + 0)*(-5*t - 2*t + 3*t).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1*1 - (-3 - 15\/(-12)). Let c(q) be the first derivative of 0*q - x*q**4 - q**3 + 8 + 0*q**2. What is the third derivative of c(n) wrt n?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 90694901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(490)\/sqrt(2)*-6.\nAnswer: -42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5919.\nAnswer: 3, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.04 + 1.96. Let u(l) = l**2 + 9*l + 4. Let t be u(-9). Which is the third biggest value?  (a) t  (b) 3  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1277930257 minus 3?\nAnswer: -2.8722069743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -314 + 5*w**2 - 2*w**3 + 314 - 13*w - 4*w**2. Let x be z(-6). Let b be x\/45 - 2\/15. What is the greatest common divisor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1479*v - 8803 - 5987 = 0 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 25\/(-2)*-8 + -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 - 14*w**2 + 36*w + 79. Give r(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes after 3:26 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1028 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -61998050, -123996101, -185994152, -247992203?\nAnswer: -309990254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - c = 0. Suppose c*r + 18 = 3*r. Suppose 0 = -2*f + f + 3*q + 9, q = -2. Solve -2*p + b = 8, -f*p + 2*b = r*b - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**16*n\/(n*n**(9\/10)\/n)*(n**21\/n)**(29\/3) assuming n is positive.\nAnswer: n**(6283\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -83 + 78 - 3*z**3 - z**2 - 2*z**3 - 3*z as s*z + t*z**2 + i + g*z**3 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes before 9:53 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/50 and 19\/11.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**2 - 3*t - 2. Let d = -2 + 2. Let f be (-2)\/(-1) - (-2 + d). Let l(x) = x**2 - 2*x - 2. Let i(n) = f*l(n) - 3*q(n). Solve i(z) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -141564 divided by 47188.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6931.655 litres to millilitres.\nAnswer: 6931655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -36 + 75 - 39 - 27*f to c + a*f and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 326775876 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -113\/87990 and -191\/157854060.\nAnswer: 157854060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 7\/4 - 12\/16. Let w(i) = 2*i - 1. What is w(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11263663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 355221 - 2114?\nAnswer: 353103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-1 + (-20)\/(-12)). Let h = 1 - -4. Let a(j) = 3 + 4*j + j**3 + 5*j + 4*j**2 - h*j. Give a(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the third derivative of h**5\/60 - h**4\/2 - 5*h**3\/3 + 5*h**2. Let v be i(13). Solve 3*p - 2*n - 2 = -v*n, n = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.378?  (a) 393  (b) 0.5  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 591145416 to the power of 1\/2, to the nearest integer?\nAnswer: 24313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vlwwyvnyvyw. Give prob of picking 1 l, 1 w, 1 n, and 1 v.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.5, -5, -148?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/812196 and 41\/430710.\nAnswer: 28426860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -6\/281 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2579 is divided by 217?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 3240 = 5*u - 0*q, 3*u + 3*q - 1944 = 0. Suppose -u = -4*i - 2*i. Suppose -2*g = 2*g - 4*d - i, 5*g + d = 129. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 334*o**2 - 2 - 330*o**2 + 2 + 30*o to f*o + i*o**2 + h and give f.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -33586500 rounded to the nearest one million?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in fifty-one eighths of a millennium?\nAnswer: 76500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7729.2 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 24 - 56 = 0. Let j = 33 + -26. Calculate the remainder when w is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 24545, 24083, 23317, 22247?\n\"Answer: -152*d**2 - 6*d + 24703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -218 + 130. What is the units digit of h\/(-14) + (-4)\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -343*s**2. Let g(w) = -14488*w**2. What is g(b(i))?\nAnswer: -1704498712*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.8 + 2.1. Let g = j + 1. Let l = g + 4.7. What is the second biggest value in -2, -5, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, 4, -182\/155, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**2 - 15*l + 12. Suppose 0 = 2*s - 8*s + 102. Let m be x(s). Suppose i + m - 223 = 0. What are the prime factors of i?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**2 + 5*z - 4. Let r be o(4). Solve -b = -l + 6, 0*l - l + 5*b + 10 = r for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9996*w + 1647 = -10057*w for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**2 + 6*n - 10. Let t be l(-9). Suppose -q = 5 - t. Calculate the smallest common multiple of 10 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3 + 2)*(0 + -4). Suppose -2*x = 30 + 26. Let m be (8\/x)\/((-1)\/7). Solve 0 = 4*z - 5*c + r, 5*c - m*c = 3*z + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -74 + 14 + (7 - -11) + -35\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -65\/72 and 5\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1*-3)\/((135\/(-20))\/9). Suppose i*z + 11 = -1, -2*w = -4*z - 10534. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102.52 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -4146 < -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) 3  (b) -2\/7  (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41 divided by 2420.\nAnswer: 41\/2420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -31389 + 44516. List the prime factors of z.\nAnswer: 13127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 2, 935477 in increasing order.\nAnswer: 2, 4, 935477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, x: 1, c: 1, s: 2, b: 7, a: 8}. What is prob of sequence cx?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4\/6)\/(38\/1083). Solve f - 14 = -s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 - 3. Suppose 5*w - 329975 = -o, w - 864908 = -a*o - 204913. What is o rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**2 + i - 1. Suppose 2 = 2*y - 0*y. Let h(a) = -3*a**2 + 2*a - 2. Let q(f) = y*h(f) - 2*r(f). Let j(s) = 3*s**2. Determine j(q(u)).\nAnswer: 75*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/709, 1421, -2\/9?\nAnswer: -2\/709","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 632*n = -12950 - 1586 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1100100100011 + 111001?\nAnswer: 1100101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4400 is divided by 67.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = 20, f = -4*c + 3*f + 50. Let q be c\/(-25) + 44\/10. Suppose 0*d + q*o - 13 = 5*d, 3*o - 11 = 5*d. Is 0.2 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -714, -1424, -2124, -2808, -3470, -4104, -4704?\n\"Answer: r**3 - r**2 - 714*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 + 1 - 3*-1. Suppose -5*m = -52 + 17. Let h be 11 - m - 4*(-3)\/(-12). Solve -k = -w*t - 9, h*t + 3*k - 13 = -k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(405))**2 - sqrt(405))*-6 + 3 + (4*sqrt(5)*5 + (sqrt(50)*1 - sqrt(50))\/sqrt(10))**2.\nAnswer: -433 + 162*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.82565529 rounded to three dps?\nAnswer: 0.826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 5*q - 7. What are the prime factors of u(11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -516*q + 4445 - 9878 = 13659 for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.9 + -30.9. Let u = y + 26.9. Which is the closest to -1?  (a) u  (b) -5  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 41534 (base 6) to base 8\nAnswer: 12742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -15, 86, 1753 in decreasing order.\nAnswer: 1753, 86, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of z**3 - 153*z + 18772?\nAnswer: 3*z**2 - 153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -13*g - 19*g - 30*g - 620 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 13*k - 14. Let x(u) = -88*u - 11 - 24 + 90*u + 1. Let y be x(22). What is the tens digit of z(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54 is divided by 43.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -2*l + 15. Let b be r(7). Let t be -5 - -1*(b + -2). Let i(v) = -74*v + 3. Is i(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, 2\/633, 23, 0 in increasing order.\nAnswer: 0, 2\/633, 14, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 523.588 kilometers?\nAnswer: 523588000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 22509 and 84501?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 8*s - 66. Calculate t(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2.2 and 43.\nAnswer: -94.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 2*a - a + 54 = 0, 96 = -5*t + 2*a. Let v = -7 - t. Calculate the remainder when v is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*j**2 - j**2 + j**2 + (-2 - 4*j - j + 2*j)*(6*j + 30*j + 0*j).\nAnswer: -110*j**2 - 72*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -137 (base 9) to base 6\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*c**2 + 37*c**2 + 11*c**2)*(3*c**2 + c**2 - 3*c**2) + 2*c**4 - 3*c**4 - 50*c**4.\nAnswer: 13*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - 0*q + 27. What are the prime factors of (q\/45)\/((-1)\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 791589540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 - 3. Calculate the lowest common multiple of 2\/2 - (-4 - -3) and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 81340 * -51\nAnswer: -4148340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add together -4.112556727 and 5.\nAnswer: 0.887443273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4362644 divided by 638.\nAnswer: 6838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from heheeihhhee. Give prob of sequence hi.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -0.3, -3, -4, 6.97, 1\/4.\nAnswer: -4, -3, -2, -0.3, 1\/4, 6.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -46*g*x**3 + g*x + 121*g - 2*x**3 + 4*x**2 - x + 14 wrt x.\nAnswer: -276*g*x - 12*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-83421)\/(-117))\/31)\/(-69).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -34 + 4 - (23 + -25)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.335909825 to 5 dps.\nAnswer: 0.33591","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**2 - 24*w - 10. Let z be c(-19). Suppose -26*m + 21*m = -z. Calculate the highest common factor of 68 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -119*z**2 + 22*z + 8 wrt z.\nAnswer: -238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 + 3 + (-6)\/8)*774\/7740?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34355.\nAnswer: 5, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 13 - 6 + u**3 + 17 - 28*u + 17*u**2 + 34*u. Let c(b) = -2*b**2 - 6*b + 64. Let m be c(5). What is the hundreds digit of n(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1234151 (base 7) to base 9.\nAnswer: 263332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:19 AM and 10:57 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -5) + 1 + 22 + (-14 - (40 - 1))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -39*l - 49. Let m(j) = 19*j + 24. Let w(i) = 3*d(i) + 7*m(i). List the prime factors of w(4).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(22)\/(sqrt(14)\/sqrt(7)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 325*q**2 - 7*q - 1. Is n(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = 3*p - 74, 3*v - 57 = -0*v - 3*p. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2023 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: Let t(n) = -3*n**2 + 2*n + 2. Let y(c) be the third derivative of 0*c - 1\/8*c**4 + 1\/15*c**5 - 1\/2*c**3 + 0 + c**2. Calculate -3*t(m) - 2*y(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d**2 - 112103*d + 156954 = 0 for d.\nAnswer: -22422, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 9408964 to the nearest 100000.\nAnswer: 9400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -556 divided by -278?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 91300 to the power of 1\/2, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r + 3. Let g be q(3). Let z = -1140 - -1153. Solve 2*k + z = -2*k + n, g = -4*k + 3*n - 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 0.7240578 millennia?\nAnswer: 72.40578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 85925, 86073, 86221, 86369, 86517, 86665?\nAnswer: 86813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**3 - 8*u**2 + 11*u - 4. Determine o(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.0531 - 0.0419. Let k = -1.08609 - q. What is k rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -3*n - 1244 + 22641, 4*n + 2*r - 28532 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwt when three letters picked without replacement from vflwlfllwtwvfltvwfw?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1 - 4*8\/96*(-10 - -1). Put -21\/10, f, 0.6, -2 in decreasing order.\nAnswer: f, 0.6, -2, -21\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the second derivative of h**4\/12 - h**3 + 2*h**2 - 2*h. What are the prime factors of r(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 264 and 108060579?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 j when two letters picked without replacement from jjjjjssjjsjsjjjjjs?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4.99 - -4.49. Which is the smallest value?  (a) 1\/2  (b) x  (c) -5  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the first derivative of 11*j**3\/3 + 2. Let t(w) = -6*w - 3*w + 10*w. Determine l(t(n)).\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 13241054?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 3, 2, -440, 4484 in descending order.\nAnswer: 4484, 5, 3, 2, -440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 564, 526, 442, 294, 64, -266?\nAnswer: -714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1026 + -688. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39 = 39*z - 5*k, 0 = 244*z - 241*z - 3*k - 105 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x + 4*v - 9 = 0, x + 63*v = 65*v - 7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 6*l**2 - 15*l + 6. Let s be q(5). Differentiate s*x**2 - 5*x + 14*x - 34 - 8*x wrt x.\nAnswer: 162*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h and 1 s when four letters picked without replacement from hffhhffhsff.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 6966891 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1367, -2264, -3165, -4070, -4979?\nAnswer: -5892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03293 plus -0.050583531209?\nAnswer: -0.083513531209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10846 or 10847?\nAnswer: 10846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000316988817 to seven dps.\nAnswer: 0.0000317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g + 52. Calculate the remainder when 63 is divided by y(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s - 4*c - 131, 5*s - 639 = 4*c + 64. Suppose w + d = -3*w + s, -5*w = -2*d - 195. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14273.\nAnswer: 7, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -21, -27, -23, -3, 39, 109?\n\"Answer: r**3 - r**2 - 10*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3028 a factor of 709218160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -174, -176, -182, -192?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 791\/((-18)\/(-4) - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (115\/42 - 1) + 4376\/(-7658)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 5*a - 54 = 20, -88 = -3*y - 2*a. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 18  (b) -1.2  (c) 851  (d) -18.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -4\/33, 0, 0.4, 0.101, 5 in ascending order.\nAnswer: -4, -4\/33, 0, 0.101, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 32 - 33. Which is the closest to -0.3?  (a) s  (b) -0.5  (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 398*x**3 + 7*x**2 - 7*x. Let h be d(1). Let q = h - 338. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 590 - 275. Suppose -5*s + 45 + y = 0. Let r = s - 6. List the prime factors of r.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9586, -9651, -9718, -9787, -9858?\nAnswer: -9931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -737*n + 13375 + 20527 = 0 for n.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 107 - 125 = 6*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -18*i**3 + 35*i**3 + 2*i**5 - 10*i**3 + (0*i + 0*i - i**3)*(10*i**2 - 26*i + 26*i) + 0*i**5 + 3*i**5 - i**5.\nAnswer: -6*i**5 + 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.071946 decades in centuries?\nAnswer: 0.2071946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of -799.1 and -2.\nAnswer: -801.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 2*s - 3)*(-5 + 2 + 2)*(2*s - 2*s + 2*s) - s**2 + 4*s**2 + 0*s**2 to the form a*s + l + b*s**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 81\/189*(-14)\/4\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 + 82*r**2 + 6*r - 519. Give q(82).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -55\/4 - -2907\/212. Let x = 49\/106 - n. What is the closest to -0.2 in 2\/3, x, -8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 31126*u**3 - 4*u**2 + u - 447?\nAnswer: 186756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**2 + 25. Let n be z(0). Suppose 2*q = -5*t + n, -2*t + 5*q + 6 = -4. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 120*h - 117*h - 69 - 33 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum -20078 and -185673.4.\nAnswer: -205751.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 160*f - 164*f = -25, -4*f - 10 = -2*r. Solve 2*k + 10 = 3*i, -5*k - r = -9*i + 6*i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9 in -107.1, 0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -428*t + 425*t - 15. Sort -1\/5, 3, t, -121 in increasing order.\nAnswer: -121, t, -1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-1)\/5)\/(-8 - 17\/(-2)). What is the third smallest value in u, 3, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1657\/1385 - -1\/277. Let p = 771\/4 - 193. Which is smaller: p or l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 227 = -m - 13, 0 = -v + 2*m + 34. Calculate the remainder when 6421 is divided by v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 206.792 millilitres to litres.\nAnswer: 0.206792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1314842359 to the nearest integer?\nAnswer: 36261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6.2 - -15.6. Let f = -7.9 + c. What is the second smallest value in -0.4, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:59 AM and 12:16 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 82615\/8 != 10327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -77*y + 2378. Calculate x(23).\nAnswer: 607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12 - 4. What is the remainder when 29 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -341700 and -2733.724?\nAnswer: 338966.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 + -2. Let d be (-3)\/3*-19 + o. Let k(q) = -29*q - 17. Let t(p) = 10*p + 6. Let x(c) = d*t(c) + 6*k(c). Let s(n) = -2*n**2. Determine x(s(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -15*w**2 + 18*w + 12. Let o be q(-4). Let r = o + 2027. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 26613 = -3*w, -h - 41*w = -36*w - 6613. Which is bigger: h or 6650?\nAnswer: 6650","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.3  (b) -0.082  (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 35265*f**2*i**3*y**3 + 1034*f**2*i**2 + 429*f**2*i*y**3 - 84*i**3*y**3 + i**2*y**2 wrt i.\nAnswer: 211590*f**2*y**3 - 504*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1040, 0, -4, -46 in ascending order.\nAnswer: -1040, -46, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -21, -67, -151, -279, -457?\nAnswer: -691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 27747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (69 - -2)*756\/(-756)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6.726 + 6.25. Let j = -12.7 + v. Let l = -0.2893 + j. What is l rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*h + 2*h - 11*h + 7*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gcni when four letters picked without replacement from gcgncccygihigiygiggg?\nAnswer: 16\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -427\/4 + 107. Which is the third smallest value?  (a) j  (b) 0  (c) 2\/41  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.031 - -0.469. Let g = 1.5 - 1.5. Let r(x) = x**3 + 6*x**2 + 5*x + 5. Let q be r(-5). Put g, 2, q, i in descending order.\nAnswer: q, 2, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - -8) + -1 + (1 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2, -5, 0 in descending order.\nAnswer: 4, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the second derivative of -m**3\/6 + 4*m**2 - m. Suppose -5*f = -0*f - 420. Suppose 0*s = 14*s - f. What is a(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17 - 7 + 8*h**4 + 23 - 2*h - 3*h**3 + 2*h**2 to the form j*h**3 + z*h**4 + p + u*h + x*h**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -477.6340757+3\nAnswer: -474.6340757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2856 + 13570*d - 30*d**4 + 7858*d + 44775*d**3 - 95*d**4 - 26532*d**2 - 27078*d**2.\nAnswer: -(d - 357)*(5*d - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + 2*w = 4*f - 29, 0 = -72*w + 84*w + 30*f - 114 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.359 + -0.049. Let b = -15.59 - y. Let o = b + 15.899911. Round o to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6546*d + 1652*d = 68516 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in fourty-six fifths of a meter?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03161 - -22436883.93?\nAnswer: 22436883.96161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9119*f - 9117*f - 4*c - 28, -6*c = -4*f + 46 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/326 and 61\/18?\nAnswer: 2934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 - 5*s**2 + s - 7. Let k be n(5). Let q = 120.02 + -120. Let m = q + -0.52. What is the biggest value in m, k, -2\/11, -0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = 5*j + 5. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (97187 - 688*r - 97187)*(0 - 2 + 0 + (-6 + 0 + 3)*(5 - 3 - 3))*(2*r - r - 3*r)*(3 - 4 + 0) in the form v*r**2 + u*r + g and give v.\nAnswer: -1376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9?  (a) -0.3  (b) -5\/2  (c) 2  (d) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from tffkfftfttftftftfkk?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*r**3 + 3*r + 1 - 3*r + (-r**2 + 0*r**2 - r**2)*(-2*r + 0 + 0) - 209 + 209 + 9*r**3 + 8*r**2.\nAnswer: 11*r**3 + 8*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.04?  (a) -1  (b) 1\/6  (c) 1\/2  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -37, -0.2 in descending order.\nAnswer: -0.2, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, c: 10, r: 1, t: 2, h: 2}. What is prob of picking 1 t, 1 r, 1 c, and 1 i?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -121528*j**2 + 129*j + 498 wrt j?\nAnswer: -243056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 22 = -5*y, 5*y + 0*y + 5 = 0. Let z(j) = 3*j - 3. Let r be z(b). Let l = 43 + r. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 10 = -2. Suppose 5*z = x*z. Let p(j) = j**2 + 2*j - 142. Let o be p(-13). Which is bigger: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**28)**29 assuming v is positive.\nAnswer: v**812","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -44*f - 302. What is i(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 27052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 5*g - 25 = 0, -3*h - g + 15 = 2*g. Let z(l) = -l**3 - 2*l - 37*l**2 + 1 + 32*l**2 - 2 - 3*l. Let d be z(-4). Solve -d*v - 1 - 2 = h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from miimcmiiiicmo?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.3 and 1095?\nAnswer: 1095.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2018 is divided by 92?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 83104, 332322, 747660, 1329118, 2076696?\nAnswer: 2990394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*u - 4*u + u)*(-u**3 + 15*u**3 + 2*u**3) to m + d*u**3 + g*u**2 + p*u**4 + l*u and give p.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -24139, -48332, -72507, -96664, -120803, -144924, -169027?\n\"Answer: 9*b**2 - 24220*b + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -65760 and -66.\nAnswer: 4340160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Total of 49 and 928.4575662.\nAnswer: 977.4575662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1344 divided by -4?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -2*t**2 + 87*t + 20. List the prime factors of i(31).\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 a, and 1 g when three letters picked without replacement from {g: 1, f: 3, a: 5, e: 8, w: 1}.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 0.1, -2\/7, 1\/4, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 2 + sqrt(1700).\nAnswer: 5 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 204*r**2 + 1. Let c = -6 - -9. Suppose 8*j - 7 = 2*i + 3*j, -c*i + 2 = 5*j. What is the tens digit of d(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = w, -l = 2*w + 6 - 14. Let b = 5 - 2. Suppose -8*v = -b*v - 20. Sort v, -2, l in increasing order.\nAnswer: -2, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 417*k - 422*k = -f - 17, 5*f - 4*k + 22 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 2*v = 6*v + 56, 4*q = 2*v + 58. What is the tens digit of 439 + (-9)\/q + (-2)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 63*q + 2147. What is the least common multiple of u(-34) and 15*(2 - (-10)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the second derivative of 1\/4*q**4 + 0*q**5 + 4*q + 0*q**2 + 0*q**3 + 0 + 2\/15*q**6. Find the third derivative of j(z) wrt z.\nAnswer: 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes after 5:13 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.08 - -0.08. Let i = -0.1199 + 17.3199. Let z = 16.2 - i. Which is the nearest to 0.2?  (a) 3  (b) z  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 8165*z - 212507. Give b(26).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-22)\/616*1246 + 47.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y - 3*k - 2*k - 1, 2*y - 29 = 5*k. Suppose u = 4*i - 13, -4*u - y = 4*i - 5*i. Solve i*w - w = 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a = 7*a + 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -123*a**3 - 49*a**2 - 42*a**2 - 25*a**3 + 91*a**2.\nAnswer: -148*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 134*g - 176 - 31*g + 153*g + 45 + 221*g wrt g?\nAnswer: 477","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 30 - 20. Let g = 6 - z. Which is the third biggest value?  (a) -2  (b) g  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the first derivative of 11\/8*r**2 + 3\/20*r**5 + 19\/12*r**3 + 79 + 1\/2*r + 13\/16*r**4. Solve w(l) = 0 for l.\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4061 and 2531168?\nAnswer: 2527107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.02 times -0.36\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 108 = 2*x, 2*x - 2*i - 84 = 36. What is the smallest common multiple of x and (4 + (-33)\/9)*12?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 29*r**2. Let k(q) = 36*q + 21. Let d(g) = -7*g - 4. Let x(h) = -21*d(h) - 4*k(h). Give n(x(t)).\nAnswer: 261*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -33*i**2 + 17 - 37*i + 15*i - 8 + 71*i**2 - 37*i**2. Calculate g(22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c + 7. Let w(v) = -4*v - 29. Let a(k) = -9*j(k) - 2*w(k). Let n be a(-7). Differentiate -3*t - 4 + t + n with respect to t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-30)*l*l**(9\/5)*(l*l**(-7))**33 assuming l is positive.\nAnswer: l**(-1126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f**5 + 3*f**5 - 2*f**5 + (-4*f**4 + 5*f**4 + f**4)*(0*f + f + f) - 3*f**4 + 3*f**4 - f**5.\nAnswer: 2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -158858359*c**5*x - 193786*c**2*x + c**2 - 13*c*x wrt c.\nAnswer: -9531501540*c**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n**2 + 29672*n + 29319132 = 0 for n.\nAnswer: -883, 8301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((sqrt(52)*-2 - sqrt(52))\/sqrt(4) + (sqrt(208))**2 + -5 + sqrt(65)\/(2*sqrt(125))).\nAnswer: -29*sqrt(13)\/10 + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 38 + -42 - (6 + 7 + 2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -23\/15 + 43\/30. Sort -76, 0.1, k, -2 in ascending order.\nAnswer: -76, -2, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d**4\/3 + 1957*d**3\/3 - 10145*d**2\/3 - 9202*d\/3 + 968 = 0 for d.\nAnswer: -1, 1\/4, 6, 484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 + 3)*168\/(-40). Let b = 22 + n. Suppose 4*f - 23 = b. Solve -5*c = 9 + f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/10)*y**(-5)*(y*(y\/(y\/y**(2\/13)))\/y*y*y)\/(((y\/((y\/y**(1\/8))\/y)*y)\/y)\/y))**9 assuming y is positive.\nAnswer: y**(-13437\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-3))\/(6640\/1245) - (-2965)\/(-40)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30187103.\nAnswer: 1301, 23203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 232 = -76. Let s = 52 + k. Suppose b + 4 - 7 = s. Sort 0, -5, b in decreasing order.\nAnswer: b, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 643 is divided by 125.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 12\/(-8)*(-2)\/(-1). Let g be (-13)\/(1638\/(-12))*j. Which is smaller: 0.05 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1878.6 and -0.4.\nAnswer: 1878.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + t + 3*t - 500 = 0, 0 = 5*m - 4*t - 589. Suppose -u + m - 101 = 0. Calculate the greatest common factor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -a**3\/4 + 491*a**2\/2 - 38659*a\/4 + 36699\/2 = 0.\nAnswer: 2, 39, 941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 3 - 7 = 0. Suppose 2098 - 190 = 477*w. Solve -w*c = k - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - 142647.1481?\nAnswer: -142645.1481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.2  (b) 0  (c) 12\/223  (d) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9 - -5.5. Let b = x - -3.33. Let c = b + 0.157. Round c to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the second derivative of -f**4\/12 + 5*f**3\/6 + 9*f**2\/2 + 8*f. Calculate the lowest common multiple of 7 and y(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 6*c**2 - 35*c - 30. Let v(n) = -n**2 + 7*n + 6. Suppose 2 = 2*b - b. Let m(i) = b*f(i) + 11*v(i). Determine m(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the second derivative of x**2\/2 + 4*x - 10. Let q(z) = 2*z**2 - 6. Determine -4*q(v) - 24*w(v).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2*((-36)\/(-8) + -3). Solve 2*q = -o*q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -62 - -66. Let c(x) = x + 2. Let y be c(-2). What is the closest to 0 in y, v, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 24600000 to the nearest 1000000.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 139\/36 and -87\/147368.\nAnswer: 1326312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.4, 2, -488?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -65.264939383 plus 498.9?\nAnswer: 433.635060617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - 0*q + 6. What is the units digit of -18*(3\/q)\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3284 - 22825*m - 2433*m**2 - 12607*m**2 + 12*m**3 + 20096*m - 23380 - 37447*m = 0. What is m?\nAnswer: -2, -2\/3, 1256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((8\/(-1))\/4*(-1430)\/(-364))\/(2\/(-14))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 3 + q)*(51 - 48 - 49) to s + d*q and give d.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1343 (base 6) to base 4\nAnswer: 11133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l. Let t(z) = -3*z**2 - 9*z + 9. Let i(k) = -k**2 - 2*k + 2. Let d(g) = 9*i(g) - 2*t(g). Give d(b(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 55303827 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -3312102 (base 7) in base 10?\nAnswer: -406506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*g**2\/4 + 5973*g + 11892243 = 0. What is g?\nAnswer: -3982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/(2 + 24\/(-13)). Let u = c + 4. Let o be 356\/18 - 2\/u. Calculate the highest common factor of 30 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (5\/(40\/48))\/3. Solve m + 12 - 2 = i*x, -15 = -2*m - 3*x for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the first derivative of p**4\/4 - 7*p**3\/3 - 4*p**2 + 6*p - 92. Determine b(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 232584 and 148008?\nAnswer: 1628088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 3*n**2. Let x(t) = -10514 + 679*t + 10514. Give z(x(v)).\nAnswer: 1383123*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 19332839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**3 - 4*t**2 - 2*t - 12. Let a be y(5). Suppose -a*r + 4*r - 32 = 0. Suppose -r = -0*u - u. What is the highest common factor of u and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:30 PM and 7:30 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3327\/2 + 1666. Let x(r) be the first derivative of -13\/3*r**3 + 30 + 5*r - j*r**2. Let o(q) = 32*q**2 + 12*q - 12. Give -5*o(a) - 12*x(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 11a100a (base 11) to base 15\nAnswer: 2b160d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of u*y**5 + u*y**3 + 8*u*y**2 - 16*u*y - 46*y**3 wrt y?\nAnswer: 60*u*y**2 + 6*u - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -121 (base 4) to base 7\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 112 and 280.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 665 + -662. Let w(t) = -t**3 + 3*t**2 + 4*t + 1. Determine w(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -756 + 0 + 1 + -1. Let w be 0 + ((-6078)\/(-8) - -1). Let y = w + j. Calculate the common denominator of -63\/8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 + 37. Suppose k - n = 6*k, -110 = 5*s + 4*k. Is s\/99 - (-167)\/11 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 85111694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**3 + 2*f**2 - f + 49. Calculate the remainder when 155 is divided by y(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (70\/15)\/((784\/(-21))\/14)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 15\/1004662 and 75\/224342.\nAnswer: 23107226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, w: 4, g: 2, d: 3, y: 1, b: 4}. Give prob of picking 1 s and 2 b.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g + 0*g + g + (g - 2 + 2)*(3 + 2 - 3))*(-g + 3*g + g).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes before 11:27 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*p**3 - 24*p**3 - p**3)*(-144 - 186 + 75).\nAnswer: 7650*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -149\/300 and -169\/30.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78*c - 6*c = 749 + 763 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/7, 0.5, -5, 1.739?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -89.973 or -90?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.9 + 0.8. Suppose 2*z = -4*u, 3*z - u + 10 + 4 = 0. Let o be (4\/(-5))\/(z - -6). Sort l, -1\/5, o in ascending order.\nAnswer: o, -1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(51)*-2*-2*6)\/(-1*sqrt(300)*6)*6.\nAnswer: -12*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**2 + 1. Let a be r(3). Let y be (a + 9)\/((-1)\/(-4)). Suppose 3*i + 3*t = t + 14, 2*t = 8. Solve -i*k = y + 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3 - 1*(0 + 3500003). Round o to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/(b\/b**(-6)))\/(b\/(b\/(b*b**(4\/5))))*(b**(-1\/4))**49)**(-48))**(2\/117) assuming b is positive.\nAnswer: b**(3208\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qvpqqptlqv. Give prob of sequence vvq.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*a + 37 = 4*m + 4*a, 2*a - 5 = -5*m. Let p be -2 + m\/(9\/12). Let l(z) = -2*z**p + z**2 - z**2. Let q(x) = -2*x. Calculate q(l(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3.4 + 3. Which is greater: q or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -694.8?  (a) -0.7  (b) 1\/9  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 70 - 43. Calculate the remainder when 132 is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 + -1.914. Round h to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - -54?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.475464 rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 281 = 7*c - 727. What is the highest common divisor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from ggxjprghpxpg.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 27\/5, -0.03, -11.1, -4, 7 in decreasing order.\nAnswer: 7, 27\/5, 3, -0.03, -4, -11.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -2*c - 4*j - 37643, -2*c + 75286 = -2*j. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 4*d + 16*z, 3265*d - z - 26 = 3260*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-14)\/3)\/(6\/(-117)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 + -8. Suppose 0 = 5*f - 4*t + 81, -5*f + 7 = -t + 76. Let q = i - f. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*b - 5*m = -16*b - 10, -3*b - 14 = m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12ba (base 15) to base 14.\nAnswer: -165a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/5)\/(-69*26\/(-19435))?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 + 3*u**2 + 4*u + 2. Calculate s(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 684 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + (-4 - (-4 - (-3 - 1)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*j = 27*j - 6. Let y = 72 - j. Calculate the highest common factor of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 185*l**2 + 29*l**2 - 5*l**4 - 5*l**3 + 9*l**2 - 8*l**3 + 22*l**2 wrt l?\nAnswer: -120*l - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + 2230?\nAnswer: 2300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-90)*-3*5*2\/4.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w and 1 a when four letters picked without replacement from azafszwszawaffaw.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v + 3*v - 18*v)*(-2618*v - 3601*v - 622*v - 1162*v).\nAnswer: 96036*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23666*b**3 + 11824*b**3 + 11838*b**3 + b**4 + 4 + 10*b + (-2*b - b + b)*(b**3 + 3 - 3) to o*b**3 + f*b**4 + z*b + j*b**2 + p and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5468 - 5476.823. Let r = 88.077 - 88. Let l = g - r. Round l to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -82 + (-84 - -90).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/320 and 97\/32.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9\/8, -1\/6, -1, -0.7, 4, 3\/4.\nAnswer: -1, -0.7, -1\/6, 3\/4, 9\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -46517.\nAnswer: -5\/46517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*d = 75 - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 18*p - 192. Calculate d(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 263677 is divided by 1064?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 3 = -o + j, 3*o = j + 6. Suppose 47*h + 2411 = 2458. Solve -h + o = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15535 (base 8) in base 10?\nAnswer: -7005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1090 = 193*k - 84*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 86792 and 7606291.\nAnswer: 1156156232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -2*t**3 + 63*t**2 - 57*t - 50. Let c be f(26). Calculate the greatest common divisor of c and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -205 - -208. Which is the second smallest value?  (a) t  (b) -2\/9  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q = 6*z - 45, 0*z + 6*z - 91*q = -93*q + 46 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 + -c4?\nAnswer: -c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 6079325449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 58 - 83. Is u less than -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-626)\/(-18) + (-48)\/(-216)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11503084.\nAnswer: 2, 17, 139, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1101 and 1.\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0 * 0.19\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.08 - 7.442\nAnswer: -7.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/5)\/(8\/(-30)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.2 - -0.8. Let y be 10\/15*(-3)\/(-2). Which is the closest to -0.2?  (a) y  (b) z  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1679 + 93351 = 2795*j for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 63*w**2 + 181*w - 3. Let b be j(-5). Let f = 903 - b. What is the highest common divisor of f and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 25953.32 meters?\nAnswer: 25953320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 + 37. Let o(v) = -7*v + 232. Let w be o(s). Let b(k) = -9*k**2 - 23*k - 11. Let z(q) = -3*q**2 - 8*q - 4. Determine w*b(j) + 17*z(j).\nAnswer: 3*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 308 = -64*q - 76 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -10*z + 10. Let r be w(1). Solve -h + r*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32363 divided by 231?\nAnswer: 32363\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3057 + 8713660923.\nAnswer: 8713657866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -193\/4  (b) 0.3  (c) 2  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:44 PM and 3:33 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 4823760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the third derivative of g**6\/120 + g**5\/15 + g**4\/24 + g**3\/6 + 3*g**2. Let t be l(-4). Let z = -3 - t. Which is greater: z or -2\/15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 202 - 218 = 0. What is the remainder when 63 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26096 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 7*d + 30 = 0. Let u = 726 - 684. What is the lowest common multiple of u and d?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -62 - (-368298)\/4661 - 17.\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1261 - -900. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 69\/1025 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (2*sqrt(156)*5 - (sqrt(156) + 2*sqrt(156)*-2 + sqrt(156)))\/((sqrt(132) - (sqrt(132) + (4*(sqrt(132)*2 + sqrt(132)) - sqrt(132))))\/sqrt(11)).\nAnswer: -12*sqrt(13)\/11 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07 times 190752?\nAnswer: 13352.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/((b\/(b\/((b**(1\/42)*b)\/b)))\/b)*b**(4\/3)*(b*b**0\/b)**(-19))**1 assuming b is positive.\nAnswer: b**(139\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is c in c**3\/3 + 1593630*c**2 - 33466279*c\/3 = 0?\nAnswer: -4780897, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 125 (base 10) to base 13.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/4 or -137?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 26, 178, 1 in descending order.\nAnswer: 178, 26, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3\/8  (b) -2  (c) 0.102  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 31 - 1. Let y be (-8)\/(-10) + 4536\/a. Is y at least as big as 153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2721, 5460, 8189, 10902, 13593, 16256, 18885?\n\"Answer: -c**3 + c**2 + 2743*c - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -3*k**3 - 33*k**2 + 32*k - 76. Let i(u) = -u**3 + u**2 - u - 1. Let y(q) = -g(q) + 2*i(q). Let r be y(-36). Solve 3*m = m - r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or 90.532?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 199943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 16\/249?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 944.97738 and -1.4.\nAnswer: -1322.968332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*v - 163 + 53 = 0. Put -4, v, -2, -3 in decreasing order.\nAnswer: -2, -3, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5699 + 5172.8. Let x = -539.202 - a. Let j = -13 - x. What is j rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 - 10034750\nAnswer: -10034750.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 6156.105 weeks?\nAnswer: 3723212304000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and 12.7?\nAnswer: -6.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 70 - 561\/8. What is the closest to -0.4 in 0.1, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 5*v - 2*v. Suppose 5*z + 2*q - v = z, 2*q - 4 = -3*z. Suppose 0 = 3*x - 7*x + 16. What is the remainder when x is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (((2*sqrt(352))\/sqrt(8) + sqrt(44) - sqrt(44)) + sqrt(44) + sqrt(44) + sqrt(44))\/sqrt(4) + 0.\nAnswer: -5 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 850 + 1438. Is m a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.59869743 to 1 dp.\nAnswer: 7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1426 - 4280\/3. What is the nearest to l in -3, 0, 32.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1292 is divided by 131?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:40 AM and 2:07 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (2 - -1 - 5) - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3, -11, -226.\nAnswer: -226, -11, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -47 + 44. Let g be -15 + 16 - (-1 + d). Factor 21 - 4*c**2 + g*c**2 - 21 + 3*c**4 + 3*c**3 + c**5.\nAnswer: c**2*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -2*f**3\/7 + 402*f**2\/7 - 8118*f\/7 - 1361610\/7 = 0.\nAnswer: -45, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15638167 (base 9) to base 12.\nAnswer: 2751651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1580, 1572, 1550, 1508, 1440, 1340?\n\"Answer: -d**3 - d**2 + 2*d + 1580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -306*h*s**2 + 4*h*s - 44315*h + 31249*s**4 - 33*s wrt s.\nAnswer: -612*h + 374988*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2588 + 22460 = 36*v. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 88 and 3124.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f**(-7)*f)*f*f**(-13\/5)*f*f\/f**18*f**(1\/14))**(-4\/11) assuming f is positive.\nAnswer: f**(134\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 374, 745, 1114, 1481, 1846?\n\"Answer: -v**2 + 374*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 7 + 1. Suppose o*x - 2*x = 2. Suppose -x*a + 7 = -3. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 101427576 divided by -6\nAnswer: -16904596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7133 - -10157. Calculate the least common multiple of d and 3.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1005622 (base 7) in base 5?\nAnswer: -12312144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 69 + 9 = 0. Let p = n - -28. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 + 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q\/(q*(q**(-8)\/q)\/q))\/(q**6*q))\/(q**(-8\/5)*q*q*q**(-2\/23)) assuming q is positive.\nAnswer: q**(424\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -188304*j**6 + 72489*j**2 wrt j?\nAnswer: -22596480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -k + 31*u - 28*u, -2*k - 4*u + 28 = 0. Let d be (-35)\/(-15)*3\/1. Solve 13 = -k*g + d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the second derivative of -n**8\/210 + n**6\/90 + 4*n**3\/3 + 8*n. Let x(i) be the second derivative of j(i). Find the third derivative of x(w) wrt w.\nAnswer: -192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.158899 to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50960606.\nAnswer: 2, 25480303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22317, -44639, -66951, -89247, -111521?\nAnswer: -133767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -2, 35, 112, 229, 386?\n\"Answer: 20*x**2 - 23*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0*(12\/8 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 523437.84 seconds in hours?\nAnswer: 145.3994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**3 - 2*k**2 - 2*k + 11. Let a = 3 + 2. Let q be m(a). Calculate the highest common divisor of 57 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2545)\/(-2036)*12\/2*-10\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 36425 = -4*b + 5*x, 5*b = -5*x + 36465. Let d = 47 + -47. Suppose 0 = 2*p - u - d*u - b, 3*p - 5*u - 10944 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 2*x. Calculate the least common multiple of 9 and h(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = 20*h + 48 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -0.2, -8, -124?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 75 + -84 + 1 + 20\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(2\/9)*c)\/(c**(3\/2)\/c)*(c**(-16)\/c)\/c**(-2\/55) assuming c is positive.\nAnswer: c**(-16079\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 0*g + 5 = 0. Solve 2*x = 5 + g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -135*x**2 - 14*x - 28*x + 9*x - 15*x.\nAnswer: -135*x**2 - 48*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 120702671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -c**2 - 2*c**4 + 8*c + 1594*c**3 - 5*c**4 + 10*c - 1599*c**3 in the form m*c**4 + f*c**2 + v*c + g + k*c**3 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.0405 and -6671719601?\nAnswer: 6671719601.0405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the first derivative of -5*s**4\/12 + 7*s**2 + 6*s - 175. Let m(a) be the second derivative of q(a). Let u(i) = -9*i**2. What is m(u(g))?\nAnswer: 90*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o. Let z(n) = 10*n**2 + 4*n + 1. Determine -5*c(l) + z(l).\nAnswer: 10*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97630 is divided by 107.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(14) + sqrt(350)*-4)\/(sqrt(7) + (sqrt(70) + (sqrt(70) - (sqrt(70) - sqrt(70)*1)))\/sqrt(10)).\nAnswer: -19*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3719 times 25?\nAnswer: -92975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11 + 2*o - 11 - o + o + o + (1 - 1 + 1)*(3*o + o - 3*o) - 3*o + o + o - o - 4*o + o to the form a + l*o and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -287*w + 11840 - 24468 for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7211 - 10325. Let n = -24813\/8 - d. Calculate the common denominator of n and 742\/88 + (-6)\/33.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16172 is divided by 289.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 282 - 278. Let s = -0.1 - -0.2. What is the closest to s in -0.2, 1, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15057 is divided by 61.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 135054 and 1080?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79404479 is divided by 170031?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*t + t + 35. Suppose 0 = -5*r + 3 + t. Find the common denominator of -83\/8 and -3 + (r - 204\/(-9)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 + -1. Let f(k) = k**3 - k - 9. Let j be f(z). Let q be (-4)\/(-8) + j\/(-2). Solve q*h - 2*m - 8 = m, -3*h - 5*m - 2 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 4 = -18. Suppose -4*m + 17 = -n. What is the highest common factor of 54 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/25, 0.6, 4, -2\/3, 2 in increasing order.\nAnswer: -2\/3, -2\/25, 0.6, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-5 - (-16)\/3)\/((-2)\/(-762)) is divided by (-10)\/(-2) - -1 - -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 2*x**2 - 9*x - 2. What is o(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22737, 22739, 22741?\nAnswer: 22743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -17 + (-229 + 232 - (0 - (-10 - 2)))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the third derivative of -2\/3*n**3 + 3*n**2 + 0 + 0*n + 1\/4*n**4. What is the remainder when 41 is divided by q(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 281959*g + 679239 wrt g.\nAnswer: 281959","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -345*h**4*i**2 - h**2*i**3 - 10*h**2 - 2*h*i**2 - 2*h - 6*i**3 - 220*i wrt h.\nAnswer: -4140*h**2*i**2 - 2*i**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 563.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 35*l + 19. Let q be d(-15). Let h = 229 + q. Is h != -278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 4, 3, 2, 1?\n\"Answer: -y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 73769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**3 + 9*c**2 + 7*c - 6. Let g be m(-8). Suppose 14 = 3*p + g. Suppose 2*u + p*q + 4 = u, 0 = -5*u + 5*q + 5. Solve -2*k = 4 - u for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1119 and 525184.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 463247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16 and 1640612.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes before 2:00 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/132 and 65\/906928.\nAnswer: 2720784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f - 106*v = -104*v + 12, 0 = v + 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42 + 32 + 8 + 2 + 7*t.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 < 132999649?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5363, 10755, 16179, 21635, 27123?\nAnswer: 32643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 921.2 + 2518.3. What is t rounded to the nearest one hundred?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 743 + -452. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o = -6*o + 20, -b + 2 = o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 755927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 650316 is divided by 74?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -240 = 670*y - 686*y for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x - 12*x = a - 514, 0 = 2*a + 3*x - 1028. Let w = -52 + a. Is 33 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 12*j - 70. Let w be k(8). Let m = 62 + -26. Let -m*q**2 - 14*q**2 - 16*q**3 - 4 - 12*q**3 - w*q = 0. Calculate q.\nAnswer: -1, -1\/2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.01, -17\/337 in descending order.\nAnswer: 0.01, 0, -17\/337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 45*d**3 + d**2 - 215 with respect to d.\nAnswer: 135*d**2 + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 68348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 289.415 + -1?\nAnswer: 288.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3687732 divided by -9?\nAnswer: -409748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 8c7 (base 13) to base 10\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 take away 2225938046?\nAnswer: -2225938043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4.9979 + 0.0021. Which is the third smallest value?  (a) d  (b) 2  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 186 - 600 = 0. Suppose -5*h - 3*t + 322 = -19, 4*h = 3*t + j. Let a = h + 14. What is the highest common factor of 27 and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 4*c**3 + 4*c + 4*c**2 + 5 - 2*c**3 - 3*c**3. Let l be w(5). Suppose -4*q - q + 4*f + 152 = l, -5*f = -4*q + 127. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 27 and 531.\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 291067 and 133343?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -4648, 71 in ascending order.\nAnswer: -4648, -1, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*-4*(-3)\/36)\/(52\/(-85800)*10).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4450 - -4570. What is the highest common divisor of 243 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 810, 862, 914, 966?\nAnswer: 1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 980105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d**2 + 0 + 0 + (1 - 2*d - 1)*(2*d + d - 5*d) + d**2 + d**2 + 0*d**2 - 18*d**2 + 51*d**2 - 2 - 7*d**2 + d.\nAnswer: 31*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that 3*o**5\/2 + 15*o**4\/2 + 15*o**3\/2 - 15*o**2\/2 - 9*o = 0.\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1355, -1448, -1541?\n\"Answer: -93*j - 1262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -3*j**2 - 11*j - 7. Let x be t(-3). Let f(y) = 3*y**2 + 2*y + 1. Let w be f(x). Solve 5*b - 22 = -w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11481 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*j + j + 13*j + (0 + 0 + 1)*(88*j - 5*j + 114*j) as z*j + n and give z.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1569 - 2075 + 4455 - 1597)*(4 + 29*j - 23*j - 3) to c*j + a and give a.\nAnswer: -786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - (19 - (-10 - -24))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*l + 319876 - 320038 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/405  (b) -24  (c) -4  (d) -11  (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from {k: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.0106 + 0.011492. What is p rounded to 5 decimal places?\nAnswer: 0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(96)\/sqrt(144) - -6*2*sqrt(24))\/(6*-1*(sqrt(1452) + 2*sqrt(1452))).\nAnswer: -73*sqrt(2)\/1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -36, -1, -3, 9, 163 in descending order.\nAnswer: 163, 9, 5, -1, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, f: 1, y: 2, v: 1, g: 1, r: 2}. What is prob of sequence vgf?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -3164672\/433 < -7309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**3 - 16*s**2 - 19*s - 50. What is w(-15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -29  (b) 1\/15  (c) 1.7  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k + 2*k + 4*k)*(-1 - 3 + 1)*(11*k + 8*k + 0*k).\nAnswer: -399*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**3 - 92*k**2 + 514*k - 377. Calculate m(86).\nAnswer: -549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13 + -25. Let o = 12.00003 + t. Round o to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that 45*g**4\/2 + 1501*g**3\/2 - 6357*g**2\/2 - 10773*g\/2 - 1480 = 0.\nAnswer: -37, -1, -16\/45, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*p = -39*p + 294. Suppose 2*v + 20 = 5*q, 4*v - 44*q + p*q + 24 = 0. Put 1, v, 0, -8 in descending order.\nAnswer: 1, 0, v, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 2*m + 42, 30 = -5*d - 2*m - 3*m. Let n be 3\/(d\/(-2) - (-3 + 6)). Solve 3*g - 13 = -5*s + 3, -n*s - g = -6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes before 12:34 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + 7121c57?\nAnswer: 7121c58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63 = -10*r + 83. Let h be (-21)\/(-6) + (-3)\/2. Let s(q) = 2 - 3*q**h - 2*q**3 + 4*q**3 + q - q**3. Let o(m) = -m**3 + m**2 - 1. Determine r*o(x) + s(x).\nAnswer: -x**3 - x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -24 + (21 - -34) + -53?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1572 plus 4489?\nAnswer: 2917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000187 rounded to 6 dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2251 (base 6) to base 15\nAnswer: 25a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 14 = 3*g - 16, 60 = 5*g - 5*f. Suppose 4*m - 3*m + 2*k = 9, -3*k + g = -3*m. Which is the closest to 0.2?  (a) 5  (b) 0.3  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 2 l when three letters picked without replacement from {u: 3, x: 1, g: 1, l: 3, m: 2}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -2*d - 4. Let q(b) = -b**3 + 6*b**2 + 2. Let w be q(6). Let c(t) = t**3 - 3*t**2 + 2*t - 3. Let i be c(w). What is the units digit of u(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 + 3)*(-2*r**2 - 4*r**2 + 2*r**2) - 5*r**2 - r**2 - 3*r**2.\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**3 + 5*h**2 + h - 4. Let c(l) = l**2 - 3. Let a be c(3). Suppose s - a = -s. What is the lowest common multiple of s and w(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22401419 is divided by 22401399?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 162357.\nAnswer: 3, 13, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 2\/11, -0.3, 2.6, -5?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 48 + -46. Suppose -z = -3*t + 16. Sort 0.4, t, -1 in descending order.\nAnswer: t, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 174873527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 9 + 13 + -7 - 8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = k, 2*k = -4*q + 3 - 1. Suppose 10*i - 2*i - 140800 = q. Round i to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -209547114 and -0.2?\nAnswer: 209547113.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the third derivative of -m**6\/150 + 3*m**5\/25 - 4*m**4\/5 + 32*m**3\/15 + 3*m**2 - 5*m. Solve f(z) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-36)\/81*(-45)\/50*5\/(-7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the second derivative of -m**5\/2 + m**4\/12 + m**3\/3 + 2*m**2 - m + 34. Let z be p(-2). What is the greatest common divisor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 483.\nAnswer: 1\/483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5789 is divided by 2891.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 26127677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5660 and 530?\nAnswer: 299980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 18 = 5*s, 5*s - 2*s - 4*o - 21 = 0. What is the remainder when 8 is divided by -2*s*2\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5.14 + -0.56. Let l = 1 - t. Let v = -1.3 - l. Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 239 + -228. Calculate the remainder when 48 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * 754.\nAnswer: -2262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the first derivative of r**4\/12 + 3*r - 3. Let i(s) be the first derivative of c(s). Let n(w) = 7*w**2 + w + 2. What is -6*i(p) + n(p)?\nAnswer: p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -150 + 150. Let r be (65926\/1316)\/(-17) + -1 + 4. Are h and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35803 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12972.\nAnswer: 2, 3, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 183196551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - 3. Let u = j + 3. Let d be u - -1 - 26\/8. What is the closest to d in -4\/3, 3\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + 155. Let h = 4 + -1. Suppose h*i = 2*i + 17. What is the highest common divisor of i and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 64 - 34. Calculate the greatest common divisor of 80 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 0*u = 672. Let n = 23 + -21. Suppose n*h + u = 6*h. Calculate the highest common factor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -127316, -3\/4, 12 in descending order.\nAnswer: 12, -3\/4, -127316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50892.\nAnswer: 2, 3, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the first derivative of 0*g**2 - 1\/6*g**3 + 19 + 21*g. Let k(a) be the first derivative of r(a). Let f(t) = -26*t. Calculate k(f(w)).\nAnswer: 26*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6113 - 6112.9. What is the fourth smallest value in o, -50, -21, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.37 + -1.67. What is the closest to -0.2 in -5, 1, o, 1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 127988489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -22 + 36. Suppose q*p = 12*p + 268. List the prime factors of p.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -264 - -1?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 57 + -30. Suppose -2*m + 233 = -o, -5*m + 7*o - 3*o + 590 = 0. What is the remainder when d is divided by m\/8 - 1\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, o: 6}. Give prob of sequence qq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ver when three letters picked without replacement from vrjriievn.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 82*m - 47*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3860 and 1088906?\nAnswer: 10889060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/5, -2, 9, -2\/9, 0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -277, -3, -136.\nAnswer: -277, -136, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/5  (b) -2\/5  (c) -0.034325  (d) 15  (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 6*z + 2. Let i(u) = -13818*u. Calculate m(i(y)).\nAnswer: -82908*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 24892 and 1520444.\nAnswer: 74501756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -363 - -366. Let v(q) be the second derivative of -1\/15*q**6 + 1\/84*q**7 - 1\/3*q**3 + 0*q**2 + 1\/6*q**4 + 3\/40*q**5 + 0 - z*q. Factor v(g).\nAnswer: g*(g - 2)**2*(g - 1)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j + 4*z - 12, 7*z - 9 = j + 4*z. Suppose 3*v + 2*v + 25 = j, h + 17 = -4*v. Solve 0 = h*m + 9, -7 = b + 3*m - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1712 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 9*g**2 - 12. Let d(u) = -7*u**2. Give d(a(n)).\nAnswer: -567*n**4 + 1512*n**2 - 1008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - m = -248, -69 = 2*u - 2*m + 61. Let v be (-4)\/(-1) - (65 + u). Let o(y) = -y**3 - y**2 - 8. Calculate o(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 42979cd - -5?\nAnswer: 42979d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 33 + -27. Let b be 7\/2 - 9\/r. Solve 4*q - b*p + 2 = 0, -5*q - 10 = -0*q + 5*p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 206 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -3, 0, -1\/3, -58, -9, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -270 - 10*p + 248 + 11*p - 36*p**2.\nAnswer: -36*p**2 + p - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -2*j**2\/13 + 602*j\/13 - 36188\/13 = 0.\nAnswer: 83, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-63)*(-6)\/2*1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-135)\/(-5)*-7 - (-2)\/(-2). Let x = 280 + b. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70555 is divided by 3712.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p**4 - 174*p**3 + 660*p**2 - 648*p = 0 for p.\nAnswer: 0, 2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 60*z**4 + 21 + 12*z**2 - 13*z**4 - 9*z**2 + 7*z wrt z.\nAnswer: 564*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gggdgddgggd. Give prob of sequence gdg.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21212 - -10?\nAnswer: -21202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 34946 or 1?\nAnswer: 34946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 19830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 29*x + 1 - 3*x.\nAnswer: -32*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2112001002 - 2111?\nAnswer: -2112010120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 + 5*n**2 - 7*n - 3. Let v be w(-6). Let g be 2\/v*(-30)\/(-8). Factor g*o**2 + 0 + 7\/2*o**3 - o.\nAnswer: o*(o + 1)*(7*o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((4 + sqrt(1900))*1)**2 + 5 + 0.\nAnswer: 80*sqrt(19) + 1919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b - 3 = -1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4 and -86350?\nAnswer: -345400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 7, f: 4}. What is prob of picking 4 j?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92*u + 58 = -r + 90*u, -4*r - u = -0*u + 260 for r.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -2a28 (base 12) to base 9\nAnswer: -6675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 29 + -32. Let z(s) = -s**2 - s - 2 - 2*s + 1 + 0. Calculate z(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -69 - 3?\nAnswer: -6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -9*i**2 + 12*i + 24. Calculate q(-6).\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2*f**2 + 1)*(-17*f + 7*f - 21*f) - 194*f + 194*f - 9*f**3 + 2*f**2.\nAnswer: -71*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 - l + 1. Let s be j(6). Suppose -3*k = 4*n + 2*k - 41, s = 4*n - 5*k. Suppose 5*h = n*h - 4. Is 2\/13 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11.33 + 11.1. Let r = u - -0.03. Let x be 1 - 0 - (-10)\/(-14). Which is the smallest value?  (a) x  (b) r  (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, e: 1, h: 1, s: 1, a: 1}. What is prob of sequence as?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 3*p - 137, p + 2*p = -4*r + 127. Calculate the highest common divisor of p and 1530.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wjyqi. What is prob of picking 1 y and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12 - -26. Suppose 9*q = p*q. Is q at most 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*h + 13*h - 53*h + 46*h**3 - 48*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from veveeefevffeeffef?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -582*i**2 + 496*i**3 + 22702*i - 22702*i wrt i?\nAnswer: 2976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -29 - -147\/5. What is the closest to 1 in -0.4, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*z + 116 = -9*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 19405253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7 + -12. Let o = u - -69. Let j = -50.1 + o. Which is the second biggest value?  (a) 2  (b) 2.4  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1783?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 121, 153, 199, 259, 333?\n\"Answer: 7*g**2 + 11*g + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 20 - ((-1 - 2) + 6). Let h(g) = -11*g**2 - 6*g - 5. Let b(d) = -32*d**2 - 17*d - 14. Let p(r) = s*h(r) - 6*b(r). What are the prime factors of p(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 120588 = 4*c - 8*c, 8 = 4*d. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 718262 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 3913567, 7827130, 11740693, 15654256, 19567819, 23481382?\n\"Answer: 3913563*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/25 and 97\/920600.\nAnswer: 920600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -0.3  (b) -0.5  (c) -2\/3  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + g = -11, -4*g + 222 = -3*w + 215 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24 - 23 - (3 + -20).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r + 5*s + 1 = 0, 4*r = 540*s - 544*s + 28 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 58, 1, -21020 in descending order.\nAnswer: 58, 1, -21020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -756 = -2251134*s + 2251050*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/260211 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -2*r**2 + 3*r**2 - 3*r**2. Let b(f) = 2*f. Let g(j) = j. Let m(d) = -6*b(d) + 4*g(d). Determine l(m(i)).\nAnswer: -128*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4792 - 4?\nAnswer: -4796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5212 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -3*f + 8. Let k(d) = -3*d - 19. What is the least common multiple of k(-13) and f\/(-7) - (-116)\/14?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/90 and 97\/216.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j - 14 - 16. Solve 3 = 3*k - j*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 88715916?\nAnswer: 2, 3, 139, 17729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**2. Let u(h) = 127 + 9*h - 127. Determine a(u(d)).\nAnswer: -81*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - ((30 - (-16 + 36)) + 3 + 4).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (9 + 15 - 9)*(-15*i - 11 + 11)*(-12 + 18 - 9) as v + m*i and give m.\nAnswer: 675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -18187*q**3 + 376*q**2 + 160088*q + 2.\nAnswer: -109122*q + 752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (1 - (1 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 - 3*h**2 + 9*h + 22. Let i(r) = -r**3 + r**2 - r + 2. Let z be i(2). Let c be w(z). Let x = -44 + 50. Solve 2 = -c*k - x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 205502678?\nAnswer: 2, 102751339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.1480457 millennia?\nAnswer: 1.480457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 49 = 2*k, -5*k = 8*t - 3*t - 115. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -418 - 6*c + 418 - 93*c + 112*c - 11*c - 7*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 359638 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the first derivative of z**6\/120 + z**5\/15 + z**4\/12 + 2*z**3\/3 + z**2 + 4. Let j(u) be the second derivative of c(u). Calculate j(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 675, 700, 741, 798?\n\"Answer: 8*n**2 + n + 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -2414928242, -2414928239, -2414928234, -2414928227, -2414928218, -2414928207, -2414928194?\n\"Answer: q**2 - 2414928243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 106 times 0.4\nAnswer: 42.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the third derivative of 17*w**6\/8 - 419*w**4\/24 + 39*w**2. What is the second derivative of q(z) wrt z?\nAnswer: 1530*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -7*g**3 - 541*g**2 + 391*g + 57. What is c(-78)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 30*k + 13*k + 55*k - 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 11421, 22862, 34321, 45804, 57317?\n\"Answer: m**3 + 3*m**2 + 11425*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -94, -115, -150, -199?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (600\/(-2))\/(212\/(-1166)). Is 1650 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/37178 and 33\/14.\nAnswer: 260246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*m + 11*m + 20. Suppose -2*i + 14 = 3*b - 5*b, 0 = -4*i + 5*b + 28. Let q = i - m. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -302174 + -4?\nAnswer: -302200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 2\/3, 4, -27, -4.\nAnswer: -27, -4, -0.2, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 15587477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10978989 is divided by 251.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o - 5 = -35 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the third derivative of -c**6\/120 + c**5\/5 + 5*c**4\/8 - 8*c**3\/3 + c**2. Let b be -4 + 0 - -3*51\/9. What is the tens digit of p(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 673 divide 2725650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -3*k**3 - 3*k - 3. Let o(a) = -2*a**3 + 19*a**3 + 4*a - a**3 + 16 + 12*a. Let u(h) = 11*d(h) + 2*o(h). Calculate u(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3022*l = 2994*l + 168 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*d + 4*d**3 - 8*d**3 - 21 + 11*d**3 - 5*d**3 as b + g*d**2 + f*d**3 + s*d and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8220 - 5299. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24492, 5, -247 in descending order.\nAnswer: 5, -247, -24492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6\/4373 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(125) + 4 + sqrt(125) - -3*(sqrt(125) + 3)) + -5)**2.\nAnswer: 400*sqrt(5) + 3189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 150393\/5 or 30080?\nAnswer: 150393\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 121223 (base 7) to base 16\nAnswer: 5633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2 is divided by ((-3)\/45*-6)\/((-6)\/(-15)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 7 and -24.9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - l + 0 + 0*l)*(-20*l**2 + 5*l**2 - 5*l**2) to the form a + h*l**2 + w*l**3 + o*l and give h.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12 and 384?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000658448382 rounded to 7 dps?\nAnswer: 0.0006584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*o**3 - 3*o**3 - 76*o**5 + 0*o**3 - 28*o**2 wrt o.\nAnswer: -4560*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 7*h**3 - 5*h**2 - 58*h - 558. Give l(-8).\nAnswer: -3998","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -82, -37, 40, 155, 314, 523?\nAnswer: 788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 115*6.0398.\nAnswer: 694.577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 28 + -12. Let s(t) = -7*t**2 + 1. Let f be s(-1). Let i(g) = -2*g - 4. Let z be i(f). Calculate the greatest common divisor of p and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/1*49\/(-588).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -160960 rounded to the nearest 1000?\nAnswer: -161000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1489, 7046, 16279, 29188?\n\"Answer: 1838*w**2 + 43*w - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 62 - 62.47. Let z = l + -95.53. Let m = 96.3 + z. Which is the third biggest value?  (a) 1\/2  (b) 3  (c) 2  (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*-2*sqrt(85) - -4*(sqrt(85) + 2*sqrt(85) - sqrt(85)))\/((sqrt(5) - -1*1*sqrt(5))*5)*-4)**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -10220 (base 4) in base 11?\nAnswer: -24a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 11200000 (base 3) to base 7\nAnswer: 12630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 31 + 259. Suppose h + 4*w = -w + 127, -2*h + q = -2*w. What are the prime factors of h?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes after 4:12 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 343653991 to the nearest integer?\nAnswer: 18538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 1 q when three letters picked without replacement from {n: 1, y: 7, q: 1, v: 6, i: 2}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2473, 4963, 7471, 9997?\nAnswer: 12541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 5*i = -1. Let o be (1\/2*0)\/i. What is the second derivative of u - 3*u - 11*u**2 + o*u - u wrt u?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(3\/13))**(3\/16)*k\/(k\/(k\/(k\/(k\/(k**14*k)))))*k**18\/k assuming k is positive.\nAnswer: k**(633\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2170 + 21 - (1 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -489 or 0.1?\nAnswer: -489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**2. Let i(o) = 2*o**2 - 7*o. Determine l(i(c)).\nAnswer: 4*c**4 - 28*c**3 + 49*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/(-10)*(-8)\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 549 and 17934?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 - 956708?\nAnswer: -956722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/((-20)\/15))\/(5\/20)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 220*y**2 + 7*y**3 + 188*y**2 - 18*y**2 + 1093*y**2.\nAnswer: 7*y**3 + 1483*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c + 1. Let o(v) = -v + 2. Let q(x) = 3*i(x) - 2*o(x). Let l(b) be the first derivative of -b**2\/2 + 22. What is -l(s) - q(s)?\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 539, 1066, 1585, 2096?\nAnswer: 2599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**3 - 116*z**2 - 366*z + 6. Determine j(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 173.00001018 - 173. Round m to 7 decimal places.\nAnswer: 0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*o - 2*d + 2, 3*d + 8 = 1505*o - 1506*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -312.28 + 312.18. Which is the closest to f?  (a) -23  (b) 7  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 137962 or -4746?\nAnswer: 137962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-t + 4 - 4)*(0 - 21*t + 0) - 4*t**2 - t**2 + 4*t**2 - 2*t + 4*t**2 + 4*t - 3*t**2 to i + n*t + k*t**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b + 5*b + 472000 = 0. What is b rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the second derivative of -x**3\/2 + 5*x**2\/2 - 203*x + 3. Let p(i) = 2*i - 6. Determine -3*b(g) - 4*p(g).\nAnswer: g + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the third derivative of 89*d**5\/4 + 87*d**4\/8 + d**3\/6 - 2032*d**2. What is the second derivative of x(b) wrt b?\nAnswer: 2670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 8069*p + 7905. Give n(-1).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times 17?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 70338.84261 to the nearest one thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85 = 5*w - 3*q, 5*w + q - 95 = 2*q. Suppose 0*n + 24 = 3*n. What is the highest common factor of w and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8\/(-10)*5\/(-2). Suppose z*j - j = -2. Sort j, 5, 0 in ascending order.\nAnswer: j, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - -4) + -2 + (-1 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -6\/7747 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84210827 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -10947, -21827, -32707, -43587, -54467, -65347?\n\"Answer: -10880*t - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f\/(f*f*f**(-3)))*f*f**9)\/(f\/(f\/(f**(2\/3)\/f)*f*f)*f**2*f))\/(f\/(f*f*(f**(-9)\/f)\/f)*f\/(f*f**(-5))*f**(1\/6)*f*f*f*f*f**(-8)) assuming f is positive.\nAnswer: f**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -50566 take away -0.085?\nAnswer: -50565.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 11*x**3 + 14*x + 17. Let f(r) = -5*r + 3*r**3 - 6 - 5*r**3 - 5*r**3 + 3*r**3. Give 17*f(m) + 6*j(m).\nAnswer: -2*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 161448 - 161436. Let f(s) = -2*s - 1. Let n be f(-2). Solve 5*r = 2*w + 8, 2*r = n*r + 3*w + i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(4\/9)*w**(-2\/3) assuming w is positive.\nAnswer: w**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3436638 or -3436582?\nAnswer: -3436638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 2, 247, -15, 5 in ascending order.\nAnswer: -15, 2, 5, 12, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 229 is divided by 28.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3280596 divided by -1914.\nAnswer: 1714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 185374493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3*(-6)\/45)\/((-10)\/((-14)\/546*-65))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*n = 21*n + 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 662459813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rlllrlllrll. Give prob of picking 2 l and 2 r.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/44 and -73\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 (base 10) in base 2?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**3 + 3*n**2 - 6*n - 3. Let j be f(-4). Suppose 0 = -4*m + 7 + 17. Solve -3*z + c = -0 - m, 0 = -j*c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 200 and 4780.\nAnswer: 47800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1076 and 2.\nAnswer: -2152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -603586, -603585, -603584, -603583?\nAnswer: -603582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**(2\/27)*k*k**4*k**(-9)\/(k\/(k**8\/k*k*k)))**(-18))**(20\/9) assuming k is positive.\nAnswer: k**(-5320\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0*(-1)\/(-1 + 5). Factor 0 + 1\/3*s**3 + w*s + 0*s**2 - 2\/3*s**4 + 1\/3*s**5.\nAnswer: s**3*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -846*g + 7896 = -818*g. Solve g = 7*d + 282 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.0527 + -0.056. What is n rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 27 + (-12 + -1 - 1 - (102 + -108))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -z**2 + 2*z - 8*z**2 + 8*z**2 - 6*z**2 in the form f*z**2 + p*z + m and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000030438786 rounded to seven dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -235, -1081, -2503, -4501?\n\"Answer: -288*a**2 + 18*a + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 159*m**3*x**3 - 407*m**3 + 2*m**2*x + 2*m*x**2 - 6702986*m - 6*x**3 wrt m?\nAnswer: 954*m*x**3 - 2442*m + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from ouuzjqoioououozu.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 221 + 224 = -4*j, 0 = 2*s - 10. Let l = -115 - j. Which is the second smallest value?  (a) l  (b) -11  (c) -0.3  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9 - 9 + 55*o**2 + (-5 + 5 + 9*o)*(1 + 2*o - 3*o - 3) to the form n + a*o + y*o**2 and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -292 - -338.3. Let v = 46 - p. Let u = 0.21 - 0.41. What is the smallest value in -0.17, u, 1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-21)*(w\/(w**(-5)\/w))\/w assuming w is positive.\nAnswer: w**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13630 - 6058. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -17012\/7 - -17014\/7. Factor -g*r**4 - 6\/7*r**3 + 10\/7*r**2 + 0 + 2\/7*r**5 - 4\/7*r.\nAnswer: 2*r*(r - 1)**3*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 26 or 199\/8?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -113*y + 949. What is q(8)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 4139 = n - c, 2092 = n - 5*c. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -d + 2. Solve 24 = 3*z - 3*n, 0 = -d*z - 0*z + n + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -38600 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -6*b - 1. Let l be a(2). Suppose -23 = 4*o + 2*v - v, 5*o + 3*v + 27 = 0. Let p = o - l. Solve -2*g - 3*z - 8 = 0, -2*g + 4*z + p = -g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -2*q + 2. Let b be x(3). Let i(v) = v**3 - 18*v**2 + 2*v - 20. Let r be i(18). Suppose -r*w - 15 = -21*w. Sort -5, b, w in ascending order.\nAnswer: -5, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -50, 3803, 3, -4, 5, 1.\nAnswer: -50, -4, 1, 3, 5, 3803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6399, -7, -3, 0 in decreasing order.\nAnswer: 0, -3, -7, -6399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (-10)\/78*(13 + (-77)\/(-35)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a*a**(4\/9)\/a*((a*(((a**(-1)*a)\/a)\/a)\/a*a)\/a)\/a*a*(a\/a**1*a*a)**4 assuming a is positive.\nAnswer: a**(58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -1\/10, 0.4, 0.09, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -239407 - -676324838\/2825. Let d = -2\/113 - v. Is 0 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.4975 to 1 dp.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 25680508 + -0.5?\nAnswer: 25680507.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 + 5. Let n be (-25)\/10*m\/(-5). Find the third derivative of -5*u**3 + 6*u**n + 3*u**5 - 3*u**2 + 5*u**3 wrt u.\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 n when two letters picked without replacement from sffnhfnfnmn.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -4*v + 14. Let l be u(5). Let n be l\/24*0*-1. Let i(y) = -y**2 - 3*y + 17. Let j be i(-6). Sort j, -5, n, 5 in decreasing order.\nAnswer: 5, n, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1211 divide 34775590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -31, -5, 3.\nAnswer: -31, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -21, 0.15, -5?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/(-6) + 68\/12. Suppose 2 = m*k - 28. Suppose -3*x - k = 0, -24 = -3*j - j - 4*x. Solve -j + 3 = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*(q\/q**(-3\/5))\/q)\/((q**(1\/17)*q)\/q))\/(q**(-1\/4))**9)**(-10) assuming q is positive.\nAnswer: q**(-1289\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = 2*s - 2026, -4*p - s = -3*p - 509. Is 36 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**2\/7 - 4038*o\/7 + 4076361\/7.\nAnswer: (o - 2019)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -69, -135, -201, -267, -333, -399?\n\"Answer: -66*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 44466508 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*n + 19*n + 30*n - 1061718 = 0. Is 32 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + 2694.3578641.\nAnswer: 2703.3578641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6958 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) 4  (b) 160  (c) 2\/5  (d) 165\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -166*c*s**3 - 760*c*s**2 + 76*c*s + c + 36*s**3 - 36754*s - 2 wrt s?\nAnswer: -996*c*s - 1520*c + 216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5, 35, 65, 95, 125, 155?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77*w + 3324*w + 198067 = 0 for w.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.02 - -0.42. Let w = -36.9 + 34.9. Let t be -2 - -3*(-2)\/(-3). What is the nearest to t in i, 2\/9, w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7339, -8271, -9203, -10135?\nAnswer: -11067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-20)\/(-3))\/((-8)\/(-12)). Suppose -2*n + 76 = -d. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1080 = 80*d + 28*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 672433936 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -809 + 804. Let p = 1\/190 + -387\/1330. Put p, -3, d in decreasing order.\nAnswer: p, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the third derivative of j**5\/540 - j**4\/36 + j**3\/6 - 10*j**2. Factor o(m).\nAnswer: (m - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*f - 20*f - 980 = 0. Round f to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -46*d - 54. Determine f(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -249 - -278. Let p = -28.76451 + -0.02549. Let s = m + p. Round s to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g + 82 = 3*f - 2*g + 108, -11*g - 28 = 9*f + 4 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -796*o + 1 - 3 - 280*o**2 + 1590*o - 796*o to the form u*o**2 + q + l*o and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*-0.096\nAnswer: -0.0192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t - n - 125, -158 - 10 = -4*t + 2*n. What are the prime factors of t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.007488321829 to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 2*sqrt(19) + ((-3*sqrt(152) + sqrt(152))\/sqrt(8) - sqrt(19) - sqrt(19)) - (-2*sqrt(95)*2)\/((sqrt(5) + -2*sqrt(5) + sqrt(5) - sqrt(5))*3).\nAnswer: -10*sqrt(19)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v - 2. Let d be j(5). Suppose -3*q + 141 = -3*y, 8*y - d*y - 17 = -q. Is 18 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 93779*w. Let y(o) = -2*o**2. Give s(y(z)).\nAnswer: -187558*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**3 - 15*n**2 + 31*n - 4. Let b be g(-16). Let p = b + 261. What is the remainder when 58 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the third derivative of 0 + 1\/224*q**8 - 1\/12*q**4 + 0*q**3 - 13\/420*q**7 + 0*q + 1\/240*q**6 + 13\/120*q**5 + 15*q**2. Suppose g(u) = 0. Calculate u.\nAnswer: -1, 0, 1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -74409*d*v**2 - 478*d*v + 2*d - 5103*v**2 - 4*v + 1806 wrt v?\nAnswer: -148818*d - 10206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39178943 divided by -5.\nAnswer: -39178943\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 447 = 35*g + 62. Let j be (-5)\/25 + 15\/325. Sort -3\/10, g, j in increasing order.\nAnswer: -3\/10, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -0.4, -24.1 in ascending order.\nAnswer: -24.1, -4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42723 (base 10) to base 5.\nAnswer: 2331343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0355 + 1706.5?\nAnswer: 1706.4645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -91 + 81 = -5*t. Suppose -u - 111 = 5*s, s + 20 = -0*s + t*u. Let c be (16\/(-4) - s) + -2. What is the highest common divisor of c and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-10) - 70\/25. Let p(v) = -7*v + 6. Let d be p(1). Sort b, d, 9 in increasing order.\nAnswer: b, d, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-4 + (1*sqrt(32) - (2 + sqrt(200)))))**2*6.\nAnswer: 15552*sqrt(2) + 23328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 14295916.5 to the nearest one thousand.\nAnswer: 14296000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -899, -1978, -3039, -4082, -5107, -6114, -7103?\n\"Answer: 9*c**2 - 1106*c + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1168*l**4*u + l**3*u - 1552*u with respect to l.\nAnswer: 4672*l**3*u + 3*l**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -33218248 - 35*h + 33218248 - 73*h**2 to k*h**2 + j*h + o and give j.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -491744000 divided by -48400.\nAnswer: 10160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + -5 - (-1 + 1 - 19)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -4*d**2 - 2*d - 1. Let c be z(3). Let k = -31 - c. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*n - 51 = -c, -7*n = 3*c - 3*n - 37 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 96 = 4*r, -36*u + 41*u - r = 438. What is the lowest common multiple of u and 36?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*y**5 + 40*y**4 - 3*y**3 + 28*y**2 + 1?\nAnswer: 240*y**2 + 960*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14 - 10. Let t(l) = -l**2 + 4*l - 6. Let c be t(p). Let q(h) = h**3 + 7*h**2 + 4*h + 7. What is the units digit of q(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**3 + 12*b**2 + 13*b + 12. Let k(c) = -2*c + 3. Let w be k(-5). Let v be s(w). Calculate the greatest common divisor of 8 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 - -9. Let b be ((-264)\/9 + 1)*s. Is (2 + (-36)\/15)*b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*v + h + 30305 = -10*v, -2*v = 5*h - 20192. Does 37 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times -509371?\nAnswer: 2037484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12, -42, -92, -162, -252?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*h - 41 + 9. Let b(t) = -t**2 + 8*t + 17. Let w be b(7). Let f be (-2)\/(-2*h\/w). Solve 2*p - f = -2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -19567*m*u**4 + 38*m*u**3 + 2069*m + 2*u**5 - u**2 + 4*u - 122 wrt u.\nAnswer: -469608*m*u + 228*m + 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3410 and 11315?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7119561.\nAnswer: 3, 2373187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -5*a**3 + 70*a**2 + 46*a - 642. Let w be n(14). Factor -20\/7*h**3 - 2 - 44\/7*h - 2\/7*h**4 - 48\/7*h**w.\nAnswer: -2*(h + 1)**3*(h + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - 6) + 7 - 3 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 - 17. Let v = -20 - u. Solve v*x + 6 = 4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**3 - t. Let c = 9 + -15. Let n = c + 6. Let b be k(n). Solve 3*m = -b*m + 3*y - 21, 2*y = m + 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**4\/15 + 2792*d**3\/15 + 487204*d**2\/5 + 340068392*d\/15 + 29670967202\/15.\nAnswer: 2*(d + 349)**4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -2*k. Let q(y) = y - 812. Give x(q(t)).\nAnswer: -2*t + 1624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -efa15 - 1?\nAnswer: -efa16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p = -20, -8*r + p + 5 = 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - 2*a = 9*a. Let c(i) = i**3 - i**2 + i - 12. Calculate c(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 4 + 0)*(3*k**4 + 2*k**4 + 2*k**3 - 3*k**4).\nAnswer: -16*k**4 - 16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-46)\/(-322) - 429\/(-154)*(-2)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -491 - -495. Suppose -f*v + 988 = 9*v. Calculate the remainder when 605 is divided by v.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 0 + -6*(-5 + sqrt(396) + (sqrt(396) - (sqrt(396) - 1*sqrt(396))) + sqrt(396) + -6*((-2*sqrt(396) + sqrt(396) - sqrt(396)) + sqrt(396)))*-1)**2.\nAnswer: -20088*sqrt(11) + 1155697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 e when two letters picked without replacement from {k: 1, h: 1, y: 1, r: 1, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 96 = -30*b + 3*k, 4*b - 38*k = -35*k - 44 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 81048707687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -2*v**3 - 9*v**2 - 4*v - 2. Let r(g) = -9*g + 3. Let c be (2*3\/(-12))\/((-4)\/8). Let j be r(c). What are the prime factors of d(j)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2 + 2*d - 6. Let p be v(3). Let m = -6 + p. Let c = 9 + -6. What is the remainder when m is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 4\/9, -1\/6, 14 in ascending order.\nAnswer: -0.4, -1\/6, 4\/9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*c**2 - 10*c + 75.\nAnswer: -5*(c - 3)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*u + 15*u + 255. Calculate the common denominator of ((-280)\/(-6))\/(-11 - u) and -39\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/((-6)\/9)*(-75)\/300.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 6 and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 19 or 40.3?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*j**3 - 4*j**3 + 0*j**3 + (-7*j**2 + 3*j**2 + 2*j**2)*(-j + 3 - 3) - 5*j + 5*j - 2*j**3 - 5*j**3 + 2*j**3 + j**3 + 3*j + 5*j**3 - 3*j.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2\/(-4))\/((-1)\/6). Suppose 3*r = -y + 16, 3*y - 5*r + b = -5. Solve 0 = -2*m - 2*o - y, 4*m + 7 = 5*o - 10*o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 630158904 to the nearest integer?\nAnswer: 25103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + 5*f - 7 = -5*m, 2*m - 6 = -4*f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 - 4*z**2 + 4*z + 3. Let y be w(-6). Let t = -28 + y. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the first derivative of -6*z**2 + 46*z + 1. Let u = -15523 - -15515. What is the units digit of t(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6 and 56514?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*h - 17*h + 37*h - 32*h**2.\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 2 = 6, 0 = -2*f - 3*n + 26. Sort 1, -0.2, -3, f in descending order.\nAnswer: f, 1, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 155 = 273. What is the remainder when o is divided by 41?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*u**2 + 2*u**2 - 168*u + 62*u**3 - 33*u**3 - 16*u**3 - 30*u**3.\nAnswer: -17*u**3 + 2*u**2 - 168*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-7)\/(-7))\/(-6*(-20)\/(-8))*6\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes before 8:48 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 138321 is divided by 151.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 223176 divided by 2?\nAnswer: 111588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (8 - (4 + -2)) + -2. Suppose -6*s + v*s + 64 = 0. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -88, -11, -1, 2, 189 in ascending order.\nAnswer: -88, -11, -1, 2, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 123713041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 36\/5*g**4 - 20*g**3 - 32\/5*g - 168\/5*g**2 = 0. What is g?\nAnswer: -1, -2\/9, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -4*f + 44. Let i be n(11). Which is the biggest value?  (a) -2  (b) -3  (c) -4\/9  (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-3)*u**(3\/5))\/(u**(-1))**(2\/115) assuming u is positive.\nAnswer: u**(-274\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.02?  (a) -0.1  (b) -138.8  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes after 9:30 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -22, -4, -26, 0, -1, -6 in decreasing order.\nAnswer: 0, -1, -4, -6, -22, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 972 (base 15) to base 4\nAnswer: 201110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**3 - 9*v**2 - 9*v - 2. What is a(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -374797, -749580, -1124373, -1499182, -1874013, -2248872, -2623765, -2998698?\n\"Answer: -r**3 + r**2 - 374779*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -1 - 14. Let g be (3 - (-1 - -2)) + z. Let v = g + -5. Calculate the remainder when 8 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -78 * -1\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 31 - 233 = 0. Suppose -4*k + 22 = 3*h, -5*h + 5*k + 50 = -h. What is the lowest common multiple of (y\/4)\/((-9)\/12) and h?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from pjjjjpppjpjjp.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3 - (-76 + -1 + 4). Suppose 4*s = -22 + n. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:59 PM and 10:28 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i**2 + 3*i**2 + 4*i**2)*(-2*i + 2*i + 11*i).\nAnswer: 44*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*j - 8*j. Let t = 4 - j. Suppose 8 = 4*r - t. Solve 0 = r*k - 0*k - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0003 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (240\/(-432))\/((-1)\/9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-578 - -487) + 188 + -14.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*k**2 - k**2 - 17*k**3 - k**2 + 20818471*k - 20818471*k.\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 475831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 165270  (b) 4  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 46, 125, 208, 295, 386, 481, 580?\nAnswer: 683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 7761*q - 77607. Calculate n(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*s - 2*s**4 + s**3 - 3*s - s to the form m*s + b*s**3 + p + h*s**4 + f*s**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -16*s**3 + 9*s**2 + 5 + 0 + 18*s**3. Let m be x(-4). What is the common denominator of -53\/14 and (-10)\/((-34)\/(-14) + m\/(-7))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3020*t + 3019*t + 86 = -5*h, t + 2*h = -40 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z\/((z\/((z**8*z)\/z)*z)\/z)))\/z*z*z**(3\/8))**(3\/29) assuming z is positive.\nAnswer: z**(-159\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 2, 0.5, -5, -296\/13, 0 in ascending order.\nAnswer: -296\/13, -5, 0, 0.5, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 431133, 0, 0.23 in descending order.\nAnswer: 431133, 0.23, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2*(84\/8 + -9) - -3. Solve -p = 5*d - d + 6, i = d - p - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 111338.\nAnswer: 2, 179, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*a**3 - 5*a**2 + 5*a**2.\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**3 + 6*u**2 - 9*u - 8. Let v be w(-6). Let k = -28 + v. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(405) - (sqrt(405) - -5*-2*sqrt(405))**2.\nAnswer: -32805 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 2*n**2 + 13*n - 14. Let o be l(-12). Find the second derivative of -o + 62 + k**3 - 72*k + 56 + 14*k**2 wrt k.\nAnswer: 6*k + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*x**2 + 2*x**2 + x**3 - 10.\nAnswer: x**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-50440)\/6208 - 4*-2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes after 8:43 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 22 = -2*g, -l + 2*l - 28 = -3*g. Calculate the remainder when 43 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -2*q - q. Suppose q*b + 2 = -4*g - 6, -3*g + 5 = 5*b. Suppose 0*j - 3*j - 64 = -b*x, 0 = -5*x + 2*j + 80. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 129341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-21)\/7 + (9 - 1). Let u(i) = -5*i**2 - 4*i - 8. Let f(j) = 4*j**2 + 4*j + 7. Let q(g) = -6*f(g) - 5*u(g). Is q(r) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 15) to base 8.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2693235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1481 and 175621423.\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2212331 - 6173?\nAnswer: -2220524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02901034 rounded to five decimal places?\nAnswer: -0.02901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/17, -2, -33, 1?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6143281 divided by 1.\nAnswer: -6143281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 94, 354, 780, 1366, 2106, 2994, 4024, 5190?\n\"Answer: -m**3 + 89*m**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*h + 0 + 0 + (-24 - 19 + 27)*(0*h - 2*h + 4*h))*(-6*h**2 + 7*h**2 - 4*h**2) in the form s*h + k + m*h**3 + a*h**2 and give m.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 115*p**3 - 451*p**2 + 251*p - 1152. Determine h(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 15*g - 126. What is q(10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/(-184) - (-2 - 1 - 1179\/(-69))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-19*s - 10*s + 11*s)*(2 - 1 - 3)*(2*s + 6*s - s - 2) to g*s + o + b*s**2 and give g.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**2 + 22*x - 26. Calculate z(-24).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 56 divided by 1\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 7478 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14478 is divided by 51.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*y - 2*y + 22. Factor 10*x - y*x**2 + 13*x**2 - 6*x.\nAnswer: 2*x*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*c**0\/c)\/c)\/c**(4\/19))\/((c*c*c\/(c*c**(3\/11)\/c*c))\/c*c)**(1\/6) assuming c is positive.\nAnswer: c**(-1879\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 31*n**3 + 5*n**2 + n. Let v(q) = -2*q**3 + q**2. Give -u(d) + 3*v(d).\nAnswer: -37*d**3 - 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:22 AM and 7:29 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -56037 or -55787?\nAnswer: -56037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 + 0. Suppose g*f + 4 = 19. Let l be (-1 + -2)*3\/(-9). Solve -f + l = 4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 4365, 8730, 13095, 17460?\n\"Answer: 4365*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2, 75, 4, -66 in ascending order.\nAnswer: -66, 0, 2, 4, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(320) - (1 + sqrt(320)))*-6 - sqrt(320))*5)**2*4*6.\nAnswer: -57600*sqrt(5) + 213600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000037517472 rounded to 7 dps?\nAnswer: 0.0000375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1653, -3331, -5035, -6765, -8521, -10303?\n\"Answer: -13*n**2 - 1639*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -10113, -20226, -30339, -40452, -50565, -60678?\n\"Answer: -10113*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -202, -408, -602, -778, -930, -1052, -1138, -1182?\n\"Answer: w**3 - 213*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -325 and 0.5?\nAnswer: -162.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 1 x when three letters picked without replacement from {s: 1, i: 4, x: 3, v: 1, j: 2, p: 4}.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14941 - 14940. What is the fourth biggest value in -2\/9, k, 2\/11, 104\/5, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-4)\/6)\/((-6)\/(-36)). Let b be -914 - m\/((-3)\/(-3)). What is b rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 32583, 32602, 32627, 32658?\n\"Answer: 3*u**2 + 10*u + 32570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2532 + -124?\nAnswer: -3100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15.383 - -0.537. Let z = -0.08 - i. Let s = 17 + z. Which is greater: s or 0.6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 145432 a multiple of 371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -44, -36, -28, -20, -12?\n\"Answer: 8*t - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l - 6. Let a be r(9). Suppose a*d + u = 2*d + 2, 4*u + 16 = 0. Suppose -d*k = -3*k - 33. Calculate the remainder when 41 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 26281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l + 2*l - 11. Let d = l - 5. What is the first derivative of d - 2 - 3 + 3*t**3 wrt t?\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -2*j + 3*j - 2 - 1 + 1. Calculate z(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -5*r. Let l(h) = -91*h. Give 52*c(u) - 3*l(u).\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 5*r - 42 = 0. What is the common denominator of r\/(-4) + (-7)\/((-805)\/40) and 55\/2?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(1216) + (sqrt(1216) + -3)*2)**2 + -5.\nAnswer: -864*sqrt(19) + 32935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*r = -180*r + 6187 - 1882. Calculate the remainder when 663 is divided by r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s - 9*s = 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**2 - 3*v + 2. Let y be p(3). Suppose -y*s = s - 2*z - 16, 0 = 2*s - 5*z - 18. Find the first derivative of -4 + 1 - 2*n**s + 5 wrt n.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 - (-6 - (13 - (-1 + 0 + 3))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 428693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/1637?  (a) -11  (b) -4  (c) 0.023  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*b**2 - 1 + 3 - 5 - 10*b**2 - 10*b**2 - 3*b**2 + (2*b + b - 5*b)*(-2*b - 3 + 3) + b**2 - 2*b + 2*b + 0*b**2 - b**2 + 5*b**2.\nAnswer: -10*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 51\/4 of a meter?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 1367 divide 67544837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2158396 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 8 = -2*y - 1, -5*y + 15 = 0. Sort -5, 1, w in decreasing order.\nAnswer: w, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 219837 is divided by 2400?\nAnswer: 1437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -46*f*g**3*v**2 + 70*f*g**3*v + 248*f*v - 3*g**3 - 3*g**2*v**2 - g**2*v - g**2 wrt g.\nAnswer: -276*f*v**2 + 420*f*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -23*z**2 + 4*z + 9. Determine b(-2).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 2423, 2560, 2789, 3116, 3547?\n\"Answer: h**3 + 40*h**2 + 10*h + 2372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c**3 - c - 10*c**3 + 4*c**3)*(77*c - 14*c - 2*c + 49*c).\nAnswer: -660*c**4 - 110*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 8*b + 84. Let s(j) = -853*j + 8512. Let k be s(10). Calculate c(k).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jqjtjqvvjqm. Give prob of sequence qjqj.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -2*g**3 + 3*g**2 - g + 2. Let z be u(2). Let k(t) = -4*t + 5. What is the remainder when 61 is divided by k(z)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -235*u - 4675 = 190*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4821 or -4895?\nAnswer: -4895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oz when two letters picked without replacement from llzo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 5*g**2. Let s(k) = -3*k. Let d(p) = 4*p. Let v(x) = x. Let a be v(-5). Let z(o) = a*d(o) - 6*s(o). What is z(i(n))?\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0\/(-5*(-6)\/(-15))*(-1)\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 44*g - 530530683 - 219229317. Round g to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 46, 51, 60, 73?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -908 - 468 = -24*l + 904. Solve 4*f = -l + 87 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4166940 and 4440?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 11*n**3 - 2*n**2 - 33*n - 6. Let h(f) = 7*f**3 - f**2 - 22*f - 4. Calculate 8*h(b) - 5*y(b).\nAnswer: b**3 + 2*b**2 - 11*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-51)\/(-918))\/(3\/(-6))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 + 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -4*((-20)\/48)\/((-2)\/(-18)). Let r be 1\/(16\/b + -1). Suppose 5*u - r - 35 = 0. Calculate the highest common divisor of u and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -622.6 - -628.6. What is the second smallest value in s, 0.4, 2\/85, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 864838 + -864816. Let b = 183 - 103. What is the remainder when b is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t + 9. Let i be (-9 + 210\/12)\/(2*3\/12). Calculate q(i).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 9*d + 30. Let y be k(-3). Suppose y*j = 4*t + 45, 0*t - 15 = -j - t. Calculate the smallest common multiple of 15 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -135*s + 5537. Let r be y(41). Sort 1, 34, -1, r, -4.\nAnswer: -4, -1, 1, r, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 + -76b?\nAnswer: -76c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 33*t**2 - 38*t - 403. Let w be k(-11). Is w not equal to 4008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2 + 14\/6)*(-22662)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 39, 44, 43, 30, -1?\n\"Answer: -h**3 + 3*h**2 + 3*h + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 394 divide 15900264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1741086178.\nAnswer: 2, 13, 17, 1733, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a micrometer in nanometers?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yxxx when four letters picked without replacement from {x: 2, y: 1, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34 + -26 + (-5)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**3 - 74*u**2 + 82*u + 530. Calculate p(-75).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put together 3863774.55577 and -2.\nAnswer: 3863772.55577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 251 + -175. Is 77 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1214218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 359 in -8, -1, -3\/7, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5506 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: (2 - -5) + (-29 - -34 - (2 + 1))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) 1\/10  (c) -1.144  (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1209 + 4*w + 7*w - 13*w.\nAnswer: -2*w - 1209","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-8)\/3*(-9)\/2. Suppose v - 2 = 5*f, 10 = 3*j - f. Suppose 2*m = 3*q + m, 0 = -j*q + 3*m. Which is the second smallest value?  (a) q  (b) 0.2  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6057236543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -1380482 to the nearest 1000.\nAnswer: -1380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1.01 or -15\/8?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -266 - 60. Let a = v + 203. Let i = a - -863\/7. Put -1, 1\/6, i in increasing order.\nAnswer: -1, 1\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7530838 smaller than -7530839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -23968 times -20055?\nAnswer: 480678240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 183 and 138?\nAnswer: 8418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 9) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 48070137967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/8  (b) 0.018  (c) -0.04  (d) -0.1  (e) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/12)\/((4545\/(-3510))\/101)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-120)\/(-630))\/((-9)\/(-63)). Factor -22\/3*k**2 - f*k + 0.\nAnswer: -2*k*(11*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14 - (28 - -28)) + 30?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.5  (b) -107  (c) 2\/15  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - -30 - 13 - (-2 - -1 - 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -256 - 972 = -2*k. What is the lowest common multiple of 4 and k?\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2083397745?\nAnswer: 3, 5, 11, 13, 971281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3, -76289 in decreasing order.\nAnswer: 3, -3, -76289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 1763*k**2 - 3*k + 18. Let x be n(-5). Let o = x - 13808. What is o rounded to the nearest one thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4 - 86) + 2\/2. Let k = q - -99. Solve g + 3*i = -k, 2*g + i = -5 - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -37680 - 1?\nAnswer: -37681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 131 - 117. Let w(y) = -y**2 + 17*y - 34. Let f be w(t). Let o be 1 + 2\/(-2*1). Solve o*z + q = 2*z - f, -4*z + 4*q = -12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -5*t - 40. Let j be v(-11). Solve -2*g = -23 + j for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 158948186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -451 + 455. Suppose 3*j - 6 = 0, -d*j + 12 = r + j. Sort 3, -2, r, 5 in decreasing order.\nAnswer: 5, 3, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -333, -1575, -3723, -6777?\nAnswer: -10737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.27 and -4123.\nAnswer: 1113.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 20 = -0, -4*f - 5560 = -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 n(r) = r**2 + r - 1. Suppose -z + 591 = 597. Let a(y) = 3*y**2 + y + 3*y - 3 - y - 4*y**2. Calculate z*n(w) + 2*a(w).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0806179 rounded to 4 decimal places?\nAnswer: -0.0806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 10 - 2) + 4 - -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1\/3, 2, -319, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/14)\/((7\/2)\/(-7)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*h - 14711 + 14451 = 0 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) + 0 + 5 - (-5*(-2*sqrt(3))**2 + sqrt(3))) + -2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 379077481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.09231654 + 47.09250654. Let s = 47 - v. Round s to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 103785?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 4, -0.08, -4\/9, 12, -258?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 2*n - 7. Suppose 2*i = 4*q - n*q - 5, -3*i = q + 11. Let g(f) = -f + 2. Calculate the lowest common multiple of 14 and g(i).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 353 + -192. Suppose 0 = -k - 159 + l. Solve k*n = 3*n + 3, 2*y = -n - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 93052 and 1623.\nAnswer: 279156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*i**3 + 33*i - 65*i - 174*i**2 + 32*i.\nAnswer: 25*i**3 - 174*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(85)\/sqrt(5) + 0 + sqrt(17)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2a - 94?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -678 + 1775. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 6 + 10 = -2*v, -2*i - 4*v = 8. What is the common denominator of (1 - i) + -4*570\/(-288) and -63\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**2 + 11346*z - 32182929.\nAnswer: -(z - 5673)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4 + 85\/20)\/(-4*27\/(-144)). Sort y, 11\/3, 0.4, 0.3, -2 in ascending order.\nAnswer: -2, 0.3, y, 0.4, 11\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wzzwwwwz. What is prob of picking 1 z and 3 w?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 + -11. Let f = 21 - 13. Let m = h + f. Is m at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.51 + -0.061373945?\nAnswer: -1.571373945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -440 + 445. What is the third derivative of 5*j**3 - 29*j**5 + 59*j**u - 5*j**3 - 38*j**2 wrt j?\nAnswer: 1800*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes before 11:50 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 708209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 8263.905 and -2.277?\nAnswer: 8266.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3025889 is divided by 49.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4 + -1)\/(7*(-5)\/490). Calculate the greatest common factor of 350 and h.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2131 - 989 = -70*l - 86*l for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 427.3 - 447. Put -3\/7, 0.3, x in ascending order.\nAnswer: x, -3\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - 75891925346502.\nAnswer: -75891925346505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 2)*(-71 - 17 + 51)*(-41*u**4 + 16*u**4 + 14*u**4).\nAnswer: 814*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 7*o**2 - 20*o - 2 + 22*o + 10*o**2 - 50*o**3 - 2*o**4 in the form q*o**2 + s*o**4 + v*o**3 + c + j*o and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1, -6, -0.4 in ascending order.\nAnswer: -6, -1, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 72 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -36999*v - 517986. Give m(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 406874*m - 406529*m = -37950 for m.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 20\/(-3)*330\/1375*(2 + 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2035, -2044, -2053, -2062, -2071, -2080?\nAnswer: -2089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c + 2*c - 15, -2*n = 4*c - 58. Let l(g) = g + 5. Let u be l(0). Suppose 0 = 3*s - u*s + 10. Calculate the remainder when n is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2741, -10976, -24703, -43922, -68633?\n\"Answer: -2746*u**2 + 3*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 95.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the first derivative of -s**4\/4 + s**3 - s**2 - 1. Let p(o) = -o**3 - 21*o**2 + 47*o + 26. Let a be p(-23). Let g be z(a). Is g at most -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -41, -1\/5654, -4 in ascending order.\nAnswer: -41, -4, -1\/5654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3865501.\nAnswer: 37, 104473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89 - 104 = -3*c. Suppose -2*r - 422 = 3*r - u, -c*u - 326 = 4*r. What is the least common multiple of 4 and ((-10)\/((-40)\/r))\/(6\/(-20))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(7\/5))\/(k\/k**7)*((k\/((k\/(k*k**(-1\/6))*k)\/k))\/k)**24 assuming k is positive.\nAnswer: k**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.29 - 0.29. Which is the closest to -2?  (a) j  (b) -5  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/3696 and 79\/9408?\nAnswer: 103488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.012905 rounded to four dps?\nAnswer: -0.0129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 8 + 7 = 4*r, -r + 10 = -5*x. Let b be r*(0 + (-88)\/(-10)). What is the highest common divisor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-4046)\/102 + 39)*15\/(-2)*-2. Let g = 4.08 - 0.08. What is the closest to 3 in l, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -23 + 26. Suppose 2*x = -h*x + 60. Let f be (x\/(-4) + 3)*1. Is 1\/12 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/4 and -81\/46.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(448) - (-1 + sqrt(448))*2)**2.\nAnswer: -128*sqrt(7) + 1808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2946 and 75614?\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*f**4 - 4*f**3 - 6*f**2 + 28287 wrt f.\nAnswer: -12*f**3 - 12*f**2 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Do -424\/11 and -38 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 254494013.\nAnswer: 61, 227, 18379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one eighteenth of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -217 divided by 8.\nAnswer: -217\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of g**4 - 2*g**3 + 4635*g + 61048.\nAnswer: 4*g**3 - 6*g**2 + 4635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 490714 is divided by 168.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/(2\/2 + -3). Suppose -d*q - 6 = -5*q. Solve -v - 4 = q*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -136.5 + 136. What is the third smallest value in 4\/19, -0.2, l?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + (-4 - -3) + 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 + (104 - 105))\/((-2)\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:15 AM and 4:56 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77496681 = 91*u + 77497045 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06 minus 25.263?\nAnswer: -25.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 + 3. Suppose r + 2*r + 4*s = 32, -4*r + 4*s - 4 = l. Let x be 6\/r*(115 - 1). Calculate the highest common factor of x and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/5178 and 9\/140.\nAnswer: 362460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 3*v - 1. Let x be i(7). Suppose 4*s + 3*f = -x, s + 5 = 3*f - 4*f. Which is the nearest to 1?  (a) -4  (b) s  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -36*p + 37*p. Solve p*y + 0*y + 12 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1d940 - -3?\nAnswer: -1d93b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:25 AM and 4:35 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/10)\/(60\/1200).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:50 PM and 9:52 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 12201020120 (base 3) in base 8?\nAnswer: 333473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**5 + 7*w**4 + 6*w**2 + 6*w - 6. Let x(j) = -j**2 + 0*j**4 - 5*j**4 - 2 + 4*j**4 + 3 - j. Let q(c) = -d(c) - 6*x(c). Factor q(s).\nAnswer: -s**4*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m = 2*j - 152 + 150, -4*j - 3*m + 9 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-1\/4)*m*m\/m**0*m*m*m)\/(m*m**7*m\/m**(1\/7)))**(-17) assuming m is positive.\nAnswer: m**(1955\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - 3*v = 40, 3*d = 29*v - 26*v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 209768 or 1299?\nAnswer: 1299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -164062 or -164000?\nAnswer: -164062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 25819819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (21 - 13) + 10 + -1 - 13\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 24 and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*v + 0*v - v)*(-1 + 1 - 1)*(1 - 2 + 3) in the form s*v + d and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - 4*m + 104 = 0. Suppose i = -2, -2*p + 4*i = -4*p - m. Let y(n) = -3*n + 9. Calculate the remainder when y(p) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x = 2*x - 4*b - 80, -x - 2*b = 15. Let c = 48 + x. Suppose -h - c + 92 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*a = -4*z - 71*a - 6, -5*z - a = -15 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -48*h**2. Let m(p) = 14*p + 4*p - 16*p. Determine m(u(o)).\nAnswer: -96*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/13 in -0.5, -0.06, 0.2, -51\/6473, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**1\/k)**(-38))**(-9))**(-10\/9) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/16 in 2\/9, 0.3, 2, -0.004123?\nAnswer: -0.004123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -33578, -67186, -100790, -134390?\n\"Answer: 2*j**2 - 33614*j + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 10*v - 50. Let c(q) = 7*q - 30. Let d be c(6). What are the prime factors of m(d)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 640217 and 2399691.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13802?\nAnswer: 2, 67, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r\/(r**5\/r))\/(r*r*r**(-5)*r))\/(r**(-12)\/(r*(r*r**2*r)\/r)) assuming r is positive.\nAnswer: r**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 4*u + 31084 = -107018, -u = 2*s - 138090. Suppose -47*d = -34*d - s. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 93 - 84.1. Let x = 25.86788 - 16.9686. Let j = m - x. What is j rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -17*f**3 - 7*f**2 + 4*f - 3. Let l(m) = -8*m**3 - 4*m**2 + 2*m - 2. Determine -5*l(q) + 3*u(q).\nAnswer: -11*q**3 - q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -14*n**2 - 23*n**2 - 14 + 7*n + 38*n**2. Calculate the remainder when f(4) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 155 in 8, -725, 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 2*k**2 - 395*k - 16438. Calculate l(233).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 3 + -2 + sqrt(17).\nAnswer: -2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -62 + 1892*x**2 - 230 - 3*x + 3*x wrt x?\nAnswer: 3784*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -94468 divided by 8\nAnswer: -23617\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m - 13*m = 716 - 540 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 1600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 2*c - 6. Let w(q) be the third derivative of q**3\/6 + q**2 + 12. Let a be (-1 + 2\/14)\/(9\/(-42)). Determine a*w(b) + f(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 38*i - 27 + 11 + 16. Let s(q) = -2*q**2. Give p(s(d)).\nAnswer: -76*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m**4\/15 + 8*m**3\/15 - 2*m**2\/15 - 4*m\/5 = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 6491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2*g - 1)*(-1 - 2 + 1)*(6 - 11 - 8).\nAnswer: -52*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*u**2 + 23*u**2 - 43*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 81897, 164317, 246687, 328983, 411181?\nAnswer: 493257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 65*k - 39. Let z(u) = -36*u + 19. What is -6*q(s) - 11*z(s)?\nAnswer: 6*s + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-39)\/26*(-4)\/72. Let z(b) be the second derivative of 3*b + 1\/20*b**5 + 0 + 1\/6*b**3 + b**2 + l*b**4. What is z(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2950 = -4*r - 4*z - 102, -r - 5*z + 716 = 0. Which is smaller: r or 710?\nAnswer: 710","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*n + 538 - 1034 = 0 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 711, 585, 375, 81, -297?\n\"Answer: -42*h**2 + 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*v**3 + 672 - 675 + v**4 + 4*v - 6*v as a*v**3 + s + k*v**2 + z*v**4 + d*v and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zkr when three letters picked without replacement from {z: 1, y: 1, r: 1, k: 2, p: 1, n: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 - 2*j + (-1 + 2 + 1)*(-4*j - 10*j - 9*j) + (4*j - 4*j - j)*(0 + 1 - 3).\nAnswer: -46*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**2 + b + 4. Let k be d(3). Let p(h) = -9*h - 71. Let i be p(-6). Let a = k - i. Solve -2*j = j + a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12.7 - -13. Let m = 0.86 - 0.76. Which is the second biggest value?  (a) o  (b) m  (c) -0.34  (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6929 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(637)*1*3)**2.\nAnswer: 5733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1034, -1043, -1066, -1109, -1178, -1279?\nAnswer: -1418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 3 + 2 - z + 0. Let l be f(8). What is the units digit of (7\/2)\/(l\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -1 + 6. Which is the nearest to j?  (a) -1  (b) 1\/16  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1d - 4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the second derivative of 11*v**3\/6 - 67*v - 2. What is f(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10 and 78?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 370 is divided by 325.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 27689491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 j, and 1 u when three letters picked without replacement from {o: 1, d: 1, u: 1, b: 1, j: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 4*d = -40, -8*g = -4*g + d - 25. Let l be (-11 + 5)*(-2)\/(-4). Let p = l + g. Solve 15 = -p*y + 7*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -178?  (a) 4  (b) 2\/3  (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*n + 79 = -125. Suppose -3*v = -12, 8*w - n*w + 3*v - 4 = 0. Solve -10 - w = 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/((x**(2\/55)\/x)\/x*x)*x)\/x*x*x**(10\/7)\/x)\/((x**(5\/8)\/x)\/(((x\/(x*x**(1\/37)))\/x)\/x)))**(2\/37) assuming x is positive.\nAnswer: x**(198311\/2108260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 + -6. Let p = -0.5 - y. Let q = 0 - 5. Put 0, p, q in descending order.\nAnswer: 0, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the first derivative of -2*j**2 + 1\/3*j**3 + 9 - 6*j. Let n = 1175 - 1169. What is l(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 15 - (6 - (2 + -8) - 11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n + 8*n + 2*d + 14 = 0, -2*n + 5*d = -8. Let x(p) = 51*p - 1. Let g be x(3). Let a = -89 + g. What is the greatest common divisor of a and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.0606 and -8.\nAnswer: -0.4848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o + 7 = 5*k + 14, 13 = o - 5*k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 5*q**2 + q + 1. Let n(h) = 14*h**2 + 4*h + 2. Let d(f) = 4*n(f) - 11*t(f). Calculate d(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 456*i**3 + 534*i**3 + 2879*i**3.\nAnswer: 3869*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3572072*i**3*o + 2*i**3 - i**2 - i + 104012 with respect to o.\nAnswer: 3572072*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, d: 3, r: 6, u: 4}. Give prob of sequence udr.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 528 - (1*3\/33 + 72\/(-66))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (7*m - 5*m + 0*m)*(-2*m + 4 - 4) - 3*m**2 + 5*m**2 - 3*m**2 in the form o*m + l + u*m**2 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*f = -27*f + 40 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 46\/8694913 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 - -7. Let f be m*2*(-77)\/(-14). Suppose -12 = 9*n - f*n. Solve -v + 5*s = -11, 14 = -2*v + n*v - 5*s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 18 = -5*c + 52, 4*c - 48 = -2*m. Is c\/(-5) - (-82 + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 667*l**2 - 5*l + 333. Let f(i) = -3*i**2 - i. Let h(b) = 5*f(b) - z(b). Differentiate h(k) wrt k.\nAnswer: -1364*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -49.2 - -45.2. Sort r, -3, -0.9 in descending order.\nAnswer: -0.9, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1\/12521 + -42177\/12521. Let l = h + 780\/209. Let l*x + 2\/11*x**2 + 0 = 0. Calculate x.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 + 8. Let o = -7 + n. Suppose -l = -4*i - 2 + o, -5*l = -5*i + 5. Which is the closest to l?  (a) -0.3  (b) -2\/3  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -5976222 and -0.030354.\nAnswer: -5976222.030354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.0179 - -0.9821. Which is bigger: 18 or o?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*m - m + 2*k + 8, -2*k = m + 4. Factor -6*a**2 + m*a - 4*a**2 + 14*a**3 + 0*a - 6*a**4.\nAnswer: -2*a*(a - 1)**2*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the third derivative of 2*l**7\/315 - 13*l**6\/90 + 32*l**5\/45 + 26*l**4\/9 - 32*l**3 + 141*l**2 + 2*l. Let x(k) = 0. What is k?\nAnswer: -2, 2, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*x - 3*r + 168 = 0, -x - 2*r + 34 + 78 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 2*z + 15 = 0, -j + 0*j + 5*z + 3 = 0. Suppose 12 = 3*s - j. Solve -3*o + 17 = -s*a - o, -2*o = -2*a - 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 80 and 3756.\nAnswer: 75120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3729931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 95212 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + i**3)*(1 - 2 + 0)*(-4 + 2 - 2)*(-10 + 6 - 1).\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the first derivative of w**4\/4 + 4*w**3 + 19*w**2\/2 + 11*w - 5. Let p be f(-9). Suppose 5*h - 2*b = p + 37, 41 = h + 3*b. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1014?  (a) -11  (b) 1  (c) -184  (d) 2  (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 1. Let j(y) = y. Determine 6*j(h) - 4*s(h).\nAnswer: 6*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 31 + -71. Let j be ((-6)\/(-5))\/((-12)\/l). Suppose -c + 0*c = j*t, c = 2*t. Solve t*p = p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-15)\/r**31*r**(-37)\/r*r**36*r*r assuming r is positive.\nAnswer: r**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 149 and 4.\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -24*z - 574. Calculate w(-42).\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 567079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-13)*k*k**(1\/9) assuming k is positive.\nAnswer: k**(-107\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 + -1. Let t = r - 7. What is the tens digit of (-68)\/t + 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 49*(13 + -12) - -7. Let h = 54 - 34. Suppose h = -3*n + u. Calculate the remainder when 27 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i + 11. Let k be p(8). Suppose 2 + 1 = s - g, 5*s - 31 = -k*g. Solve 19 = -4*d - 1, -s*f + 2*d + 30 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((d**(-1\/4))**(-1\/2))**11)**(2\/25))**(-14) assuming d is positive.\nAnswer: d**(-77\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8699*g**3 - 17405*g**3 + 8723*g**3.\nAnswer: 17*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2485 and -473373058?\nAnswer: 473370573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 698172 and 1163620.\nAnswer: 3490860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11.2 - -0.8. Let s = -327\/2 - -164. Sort s, w, 5\/6 in descending order.\nAnswer: w, 5\/6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5072*y + 5652 = -5081*y. Which is smaller: -629 or y?\nAnswer: -629","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:53 AM and 5:20 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3930211 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 5*j + 3*j**2 + 1 - 5*j - j. Let d be c(1). What is the third derivative of -4*b**d + b**4 + 4*b**3 + 5*b**2 - b**2 wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 5*v + 13 = 0, 5*v = 4*y + 4*v - 24. Let a(k) = 4*k**3 + 7*k**2 + 3*k. Let u(o) = 3*o**3 + 6*o**2 + 4*o. Give y*u(x) - 6*a(x).\nAnswer: -3*x**3 + 10*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/4 + (-5)\/(-2). Suppose -3*m + b*w - 3 = -0*m, 2*m + 5*w = 5. What is the tens digit of m + -2 - -6 - -17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -d**2*z**3 + 64*d**2*z - d**2 - 25*d*z**2 + 14*d*z + 127503*z**3 wrt z?\nAnswer: -6*d**2 + 765018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.3 and 1115.712398463.\nAnswer: 1115.412398463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -2*d**2 + 483*d + 2. Let b(o) = 6*o**2. Give u(b(g)).\nAnswer: -72*g**4 + 2898*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 + (-1 - 9) - (137 - 92).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-5))**(1\/3)*((n**(-1\/6)*n)\/n)**(-42) assuming n is positive.\nAnswer: n**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 419243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2b5 - -5?\nAnswer: -2b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1321285083?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**2 + 8326300*s + 17331817922500.\nAnswer: (s + 4163150)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r - 31*i - 111 = 0, -7908*r + i + 81 = -7903*r for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Total of -12875 and -2076923.\nAnswer: -2089798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1)\/1)\/((-6)\/18). Let w(m) = -m**2 - 4. Let q(h) = -6*h**2 + 2*h**2 + 3 + 3*h**2 - 2*h**2 + 5*h**2. Calculate t*q(x) + 4*w(x).\nAnswer: 2*x**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16)\/(-6)*(-306)\/17340*-1*30\/(-12).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) 51  (c) 0.4  (d) 0  (e) 50  (f) 3\/2  (g) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:24 AM and 1:32 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -472, -935, -1398, -1861, -2324?\nAnswer: -2787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -a + 0 + 0 + (1 - 4 + 5)*(a + 2*a - 2*a) + 26 + 18*a - 26 + (4*a - 2*a - a)*(3 + 1 - 6) + 2*a + 3*a - 4*a.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 8*f**2 + 5*f + 13. Let m(d) = -7*d**2 - 4*d - 12. What is -3*m(s) - 2*x(s)?\nAnswer: 5*s**2 + 2*s + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve o + 72*y + 6 = 71*y, 0 = o - 5*y - 18 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 267*n**2 - 20*n - 46 + 11*n + n - 3 - 5 wrt n.\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 46*k**2 - 16*k + 11. Let g be v(-12). Let r = -300371\/44 + g. Find the common denominator of r and -71\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:50 PM and 11:27 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z = 5*j - 16 - 9, -4*j + 3*z = -18 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13 + -11. Suppose 0 = -d*p + f - 5755, p - 3*f + 337 = -2528. Is (2\/(-4))\/(20\/p) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -4.49, 246, 2\/13, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjnj when four letters picked without replacement from jjjnjnjjj.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -33*z - 1399. Let q be s(-64). Is 2 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 709 is divided by 128.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 take away 6539.6?\nAnswer: -6539.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 5310, 5427, 5654, 5991, 6438, 6995, 7662?\n\"Answer: 55*r**2 - 48*r + 5303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7040 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 85637211?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -4*f**2 - 8*f + 7. What is a(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13050 + 38853 = -234*p - 423*p for p.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*x - 11*x - 2*x**2 + 25*x**3 + 2 + 3*x + 5*x to the form z + h*x + y*x**3 + r*x**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -197 + 14. Let k = 182.5 + z. Sort -2\/5, -1\/17, k, 1.\nAnswer: k, -2\/5, -1\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 2*j = 12. Let o = 8 - j. Let z(n) = -n**2 - 3 - 6*n + o*n + 0*n**2. Give z(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 + 3. Suppose 3*f = f - u. What is the remainder when 16 is divided by f + (1 - 0) - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = 4 + 6. Let v(o) = -k + 6 + o**2 + 52*o - 56*o. Determine v(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d**2 + 2*d**2 + 0*d**2)*(-32*d - 18*d + 1 + 40*d).\nAnswer: -10*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(2\/41)*p)\/p**4*((p\/p**0)\/p)**12)**19 assuming p is positive.\nAnswer: p**(-1520\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -81 + 106. Solve -5*d - 10 = -s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -536 + 2e?\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1.5+-0.0961\nAnswer: 1.4039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 50*d - 62*d. Sort -14, -3, -2, d.\nAnswer: -14, -3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g = -2*a - 14*g + 101, 0 = -g + 3. Let t = a - -64. Which is smaller: t or 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 5*r = 4 - 25, -2*w = -4*r - 14. Let v(x) = x + 1. Let p be v(3). Let t be 55\/20 - (-1)\/4. Solve t*s + p*k = -31, -3*s = k - 3*k + w for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-11))\/(16\/(-32))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - -3. Let m(y) = -y - t + 2 - 1 + 2. Let u be m(0). Sort 5, 4, u.\nAnswer: u, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -352*g = -333*g - 2850. Calculate the highest common divisor of g and 2250.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 18745 or 1087201\/58?\nAnswer: 18745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3382 or -3318?\nAnswer: -3318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:23 AM and 12:31 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20*a - 52*a - 147*a)*(-1 - 2 + 2)*(-1 - 1 + 0).\nAnswer: -438*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-5)*45\/(-27).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-1\/2)*(s*(s*s**7*s)\/s*s)\/s*s*(s**1)**(2\/29) assuming s is positive.\nAnswer: s**(555\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -500, -240, 238, 1042, 2280, 4060, 6490, 9678?\n\"Answer: 18*w**3 + w**2 + 131*w - 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the first derivative of n**4\/12 - n**3 - 3*n**2 + 2*n - 2. Let o(h) be the first derivative of x(h). Let f be (2\/6)\/((-6)\/(-108)). Determine o(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 64865006?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 324 minutes before 8:46 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:34 PM and 10:37 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-3))\/((-18640)\/11184).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 22*j*y**3 - 301*j + 2932*y**5 + 276*y wrt y.\nAnswer: 132*j*y + 58640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - k)*(0*k**3 + 3*k**3 - k**3) + 2*k**4 - 3*k**4 + 2*k**4 + (-2*k**3 - k**3 + k**3)*(-1 + 2*k + 1) + k - 2*k**4 - k.\nAnswer: -7*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 125*w - 229*w + 123*w - 19 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 1 l, and 1 x when three letters picked without replacement from xhxgblm?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (7\/(-455)*-20)\/((-32)\/(-12064))\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9650 is divided by 3378?\nAnswer: 2894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -93 + 86 + 20 + -21?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-4)\/(0 + -1) + 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/1930 and 69\/386?\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-4)\/2 - 2)\/(35 + -33). Sort -12, 5, 6, c.\nAnswer: -12, c, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 6) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11.0866805*4.\nAnswer: 44.346722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v**3 + 0*v**3 - 4*v**3)*(-83*v + 13*v - 88*v - 4*v - 3*v + 5*v + (-2*v - v + 2*v)*(3 - 4 + 2) - 2*v + 0*v + 3*v).\nAnswer: 480*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 936036 (base 10) to base 6.\nAnswer: 32021300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 160 and 50420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 - 1110001?\nAnswer: -1101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(3\/5)\/g)**(13\/3))**(-19) assuming g is positive.\nAnswer: g**(-247\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) 4  (c) -0.342  (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1982, 3986, 6004, 8042, 10106, 12202?\n\"Answer: p**3 + p**2 + 1994*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 68\/3 of a decade in months?\nAnswer: 2720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2 + 5 + -3 + 1. Which is the second smallest value?  (a) 3  (b) n  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 + (-32)\/3 + (-70)\/(-105).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -243 + 244 + (-4 - (1 + 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -249383, -249433, -249483, -249533, -249583, -249633?\n\"Answer: -50*v - 249333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q + 3*q - 15. Suppose -53 + 2 = -q*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5.78 - -10.78. Which is the nearest to 2\/9?  (a) 2  (b) -0.1  (c) 4  (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -71*r**3 + 496*r**2 - 43*r + 348. What is i(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 3 = -7*f - 3*d, 2*d = -3*f + 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 52.3 + -52.299866. Round v to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001481241 to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -17663, 0.4, -1\/18, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 86478 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 41 - 40. Which is the nearest to w?  (a) -8  (b) 4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 994 and 496006?\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1 + 3)*(0 + 1). Let d(o) = -4*o - 4*o**2 - 1 + x*o - 3 - o**3. Let z = 196 + -199. Determine d(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -4, 131.\nAnswer: -4, 2, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 760 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-135*y**3 + 452*y**3 + 621*y**3)*(-3 + 3 - 5*y).\nAnswer: -4690*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the first derivative of -1 + f - 3\/4*f**4 + f**2 - 1\/3*f**3. Is 11 a factor of c(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -34562*m**3 - m**2 - 33*m + 29963491 wrt m?\nAnswer: -103686*m**2 - 2*m - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14584133573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m + 0*m + 2*m)*(-110*m + 110*m - 11987*m**3 - 12152*m**3).\nAnswer: 48278*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the first derivative of -1\/6*j**3 + 1\/16*j**2 + 3\/32*j**4 + 0*j - 9. Factor n(d).\nAnswer: d*(d - 1)*(3*d - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -533 + 1009. What is the highest common factor of x and 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 395 a factor of 246686585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f. Let m(t) = t**2 - 2*t - 6. Let q(r) = 10*r**2 - 12*r - 214. Let n(b) = -6*m(b) + q(b). Determine n(j(u)).\nAnswer: 4*u**2 - 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (3 + 394)*-10*1\/(-5) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u**(-2))\/(u*u\/(u\/(u*u**2\/u))))\/(u\/u**(-1\/4))**(1\/30))\/((u**(-2\/3)\/u)\/u**0*(u\/(u\/u**0))**27) assuming u is positive.\nAnswer: u**(-19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 5*z**2 - 42*z + 8. Give s(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 4 - 13*a + 20*a**2 - 20*a - 22*a + 55*a. Let w(t) = -21*t**2 - 3. Determine 3*h(m) + 4*w(m).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*a*(a*a**(5\/17))\/a*a)\/(a\/a**10))\/(a**(-4)\/a**(1\/5)))**10 assuming a is positive.\nAnswer: a**(2804\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6149*k = 6144*k + 4*n - 26, -2*k - 2*n + 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 81 divide 282487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0*(3\/4)\/((-27)\/(-18)). Let a(u) = -u**3 + u**2 + 3*u + 1559. Is a(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t + 10. Let g be f(7). Suppose 2*q + g*q = 10. Solve 5*i - q*n = 4*i + 2, 5 = i - 5*n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 123 and 25674446?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the first derivative of 5*t**4\/4 - t**2 - 3*t + 133. Let k be w(2). What is the highest common factor of 88 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -2 + -26 - (59 + -95 + 37).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -71*y**6 + 2*y**5 + y**2 - 40 wrt y?\nAnswer: -8520*y**3 + 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and -31.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -235*j**2 + 440*j**2 + 44*j**3 + 41*j**3 + 72*j**3 - 205*j**2.\nAnswer: 157*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:27 PM and 6:24 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -29891*h*x*z**2 + 231*h*z + 9*x*z**3 + 3772*z**3 wrt x?\nAnswer: -29891*h*z**2 + 9*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 2*q - 5 + 2*q**2 - q**3 + 0*q**3 + 7. Let d be j(3). Let f(c) = -c. Let s be f(-5). Sort -3, s, d in descending order.\nAnswer: s, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11, -22, -43, -80, -139, -226?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v = 9*v - 88. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s + 4*g, -3*s = s - 5*g. Suppose 5*y = -s*y. Is y <= 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 36, 2, -85, -11, 1 in decreasing order.\nAnswer: 36, 2, 1, -11, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (10\/(-6)*-3)\/(-26 + 28). Let w(k) be the first derivative of 6 + 0*k - c*k**2. Let s(r) = 3*r**2. What is w(s(z))?\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*b**3 - 599*b + 156*b + 155*b + 143*b - 158*b**3 + 146*b.\nAnswer: -124*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(136)\/sqrt(32) + sqrt(17) + (-3 + sqrt(17))*-3.\nAnswer: -3*sqrt(17)\/2 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**2 + 945*h - 35323. What is v(36)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 52697405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3325634 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 2*a + 2*a = 16, -5*a + 15 = 0. Let u = 29 - 16. Suppose -x + u = 2*m + q*x, 4*m + x + 1 = 0. Is m at least -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the third derivative of w**4\/24 - 7*w**3\/6 + w**2. Let p be (-8 - (-14)\/7)*(-4)\/8. What is u(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 41.8  (b) -0.5  (c) 3\/5  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**3 + 10*y**2 - 11*y + 8. Let k be t(8). Let c be (24\/k)\/(1\/(-12)). What is the units digit of (c\/(-1))\/((-16)\/(-192))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13032*j - 20795*j - 5178*j.\nAnswer: -39005*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**3 + 2*l**2 + 2*l + 5. Let m = -2 + 4. Let x(t) = 6*t**3 - 11*t**2 - 11*t - 26. Let s(i) = m*x(i) + 11*w(i). Differentiate s(d) with respect to d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-28)\/70 + 22*14\/20. Let u be (210\/50)\/(6\/10). Solve -u*b + 10*b + c = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 10\/55 - 222\/11 - -3. Let w(u) = u**3 + 18*u**2 + 11*u + 25. Is w(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/2244 and 79\/572.\nAnswer: 29172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.14 minus 31.962203?\nAnswer: -32.102203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 460287769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3\/519400 and 77\/12.\nAnswer: 1558200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 182 + -72. What is the smallest common multiple of m and 9?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 114*(2 + -1 - 15). Let y be 5\/(-66)*q\/(-16). Let h = y + 90\/11. Find the common denominator of -107\/12 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4601838 by 111.\nAnswer: 41458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -498*m**2 + 1. Let y(g) = -991*g**2 + g + 2. Let v(x) = 5*a(x) - 3*y(x). What is the remainder when v(-1) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4.9 - -5. Is -0.1 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-270)\/34335*8\/((-144)\/(-42)).\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 905847?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29310 is divided by 308.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, f: 4, u: 1, a: 2, y: 1}. What is prob of picking 1 u and 1 y?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a century in years?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zb when two letters picked without replacement from zfbsx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 46, 115, 230, 391, 598, 851?\nAnswer: 1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together 635 and 358162.\nAnswer: 358797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 420587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 190494, 381025, 571592, 762195, 952834, 1143509?\n\"Answer: 18*o**2 + 190477*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1600846?\nAnswer: 2, 13, 23, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/(-5))\/(-2) - 47\/235. Solve u - g = -v*g, 2*u = -g - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 533 + 1580 = j, 5*j - 195 = -r. Let l = 309 - r. Let s be 10 - (-3 - (-1 + -1)). Calculate the greatest common factor of l and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*i - 2800 + 2800 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 488 and 7835206?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 624 and 1392?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1000001000110111001 (base 2) to base 13\nAnswer: 944cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tllxhtptphlpttxfpxt. What is prob of picking 3 t and 1 x?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*-5*sqrt(189)\/(sqrt(112) - sqrt(7)))\/((-1*-3*sqrt(72))\/(sqrt(40)\/sqrt(125))))**2.\nAnswer: 16\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17 + 2 + 1)*(2 + 3 + 0)*(3*c**5 - 5*c**5 + 2*c + 3*c**5).\nAnswer: -70*c**5 - 140*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 0 + 1)*(2 + 11*x + 3*x - 2*x**3 - 16*x) + 3*x**3 + 0*x**3 - 2*x**3 to the form i*x**3 + t + n*x + d*x**2 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -3922 divided by 3\nAnswer: -3922\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/5, 0, 0.4, -352, 3 in ascending order.\nAnswer: -352, 0, 0.4, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -0.082  (b) -0.4  (c) -0.2  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1033 - -975. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 45\/7 - 48\/7. Let t = 7 + -12. What is the nearest to -1 in 0.07, t, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1010 (base 2) to base 4\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -32 - -37. Suppose -4*r + 7*x = 2*x - 13, r - g = 3*x. Solve -r*w + 3*m = -5*w - 12, 2*m = -10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(45)\/((sqrt(9) - sqrt(81) - sqrt(9))*-3)*-2)**2*-5.\nAnswer: -100\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -10a (base 11) in base 2?\nAnswer: -10000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -6*o**2 - 9. Let p(r) be the third derivative of r**5\/20 + 5*r**3\/6 - 5*r**2 - 13*r. What is 5*p(n) + 3*s(n)?\nAnswer: -3*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (30*r**4 - 3*r**3 + 3*r**3)*(-1 - 2 + 1) to the form j*r**4 + q*r**3 + u + n*r + l*r**2 and give j.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the third derivative of -h**8\/20160 + h**7\/1260 + 3*h**5\/20 + 17*h**2. Let b(l) be the third derivative of n(l). Solve b(z) = 0 for z.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-1\/3)\/o)**(-9)\/(o**(-4\/3)*o**(-4)) assuming o is positive.\nAnswer: o**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 569*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -6, 3, -7114, -18, -4 in increasing order.\nAnswer: -7114, -18, -6, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 24725 - 23157. What is the remainder when g is divided by 522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -2*i**2 - 16*i - 1. Calculate the remainder when 64 is divided by f(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (12\/(-65))\/((-312)\/(-2028))*-10\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 - k**2 - k. Let w(z) = -z**2 + z. Suppose -p = 4*n + 4, -4*n - 2*p - 28 = -7*p. Give n*w(x) + j(x).\nAnswer: x**3 + x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 6*j**2 - 2*j + 1. Let n be r(1). Suppose -g - 2 = -5*o - 14, n*o = -2*g - 21. Let c be (-8)\/8*(-4)\/(-2). Sort -1, o, c.\nAnswer: o, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/3, -0.5, -0.02, 790, 1531 in descending order.\nAnswer: 1531, 790, 1\/3, -0.02, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (840\/(-25))\/14*(-43)\/((-3956)\/483)?\nAnswer: -63\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 615 - 575.1. Let w = v - 40. Which is the nearest to 4?  (a) -5  (b) -0.4  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71222304?\nAnswer: 2, 3, 73, 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate u**4 - 5*u**3 - 523*u**2 - 2*u - 61814.\nAnswer: 4*u**3 - 15*u**2 - 1046*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**2 - f - 6. Determine g(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 78 divide 1326\/7*(40 - 26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4389 rounded to the nearest one hundred?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 21 - 3. Let r = -51 + j. Let l = -31 - r. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.4765136 to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -49*h**2*m**3 - 504*h**2*m*u + 15*h**2*u + 761*h*m**3*u - 2*h*m*u - 36*h*u + m**3*u - 5*m - 3*u wrt h?\nAnswer: -98*m**3 - 1008*m*u + 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/15 - (-154)\/(-5). Let i(q) = -q**3 + 7*q**2 + 15*q + 42. Let g be i(-4). Let r = g + z. Calculate the remainder when r is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 329*v**3 - 156*v**3 - 170*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2645 + 191751 = 46*n. Suppose 5*j - 1359 = 2*m - n, 2*m = -3*j + 2768. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -31 + 17. Let q = 26 + v. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-23)\/(-5) - 2\/(-5). Let h = 0.08 - 4.08. Sort 0.5, h, a.\nAnswer: h, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70 + 72 - 36 + 11 - 11*l + 2*l.\nAnswer: -9*l + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) -0.4  (b) -2  (c) -4\/679\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1067.\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/7, 0, -0.2, -0.52658?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 974341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82*p + 84*p - 10 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes before 8:10 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.8 - -3.3. Let o = -5 + y. Sort o, 2\/7, -5.\nAnswer: -5, o, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16515001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 28\/9 of a week in minutes?\nAnswer: 31360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = -4*t + 11, 5*t - 19 = -3*w - 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and 30867258.\nAnswer: 12346903.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -214, -427, -640, -853?\nAnswer: -1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.016216 to four decimal places.\nAnswer: -0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 313110283.\nAnswer: 2399, 130517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 203 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**2 + 10*c + 26. Let i be v(-8). Suppose 223 = i*f - 17. What is the remainder when f is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 3, p: 9}. Give prob of sequence oopp.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9*b**3*t - 336639*b**3 - 72131*b**2*t + 2*b with respect to t.\nAnswer: -9*b**3 - 72131*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14 - 18*q + 14)*(-12*q + 39 - 39)*(q + 0*q - 3*q).\nAnswer: -432*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = 3*m - m. Let n be (m\/(-63))\/((-4)\/(-18)). Suppose 3*k - n = w, k = -3*k + 12. Calculate the highest common divisor of w and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 2842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -578, -1025, -1466, -1901, -2330, -2753, -3170?\nAnswer: -3581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*1*((-5*sqrt(1700))**2 + 5).\nAnswer: -42505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:12 PM and 7:59 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 5914 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3153 + 2725 = 107*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, a: 3, p: 2, e: 7, x: 4}. Give prob of sequence aa.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the third derivative of 0 + 0*b**3 - 1\/30*b**6 - 1\/30*b**5 + 0*b**4 + 0*b - 2*b**2. Find the third derivative of m(w) wrt w.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*r**3 - 39*r**2 - 138*r - 144.\nAnswer: -3*(r + 2)*(r + 3)*(r + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -4\/7, 2\/25, -0.1, 6\/13?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-130)\/195 + (-2054)\/(-234) and 17\/(-66)*4 - 0?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 126315822 and 10889295?\nAnswer: 631579110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -150846 times 132\nAnswer: -19911672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.5, -2\/197, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is f in 2*f**3\/9 - 8066*f**2\/9 + 8006080*f\/9 + 255999488\/9 = 0?\nAnswer: -31, 2032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, s: 1, r: 1, v: 2, l: 2, m: 1}. What is prob of picking 1 s, 1 f, and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fdun when four letters picked without replacement from {n: 1, u: 2, f: 2, d: 1, r: 2, j: 5}.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1188*z = -1182*z + 60 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 9935992083?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 39245, 39250, 39265, 39296, 39349, 39430?\nAnswer: 39545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17633774*z**4 - 6517096*z**2 - 5*z?\nAnswer: -423210576*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 665771 is divided by 20805?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -3*s**3 + 2*s**2 + 3*s + 3. Let c(n) = 2*n - 20. Let k be c(9). Let m be j(k). Let i = 51 - m. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 5.93967 microseconds?\nAnswer: 0.00000593967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -823864\/13211 + 686\/11. Sort -4, -5, 1, q.\nAnswer: -5, -4, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert bd399d (base 14) to base 10.\nAnswer: 6425607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f = -24*x + 19*x + 27, -21 = -5*x - 4*f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7.8 - 0.2. Which is greater: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 4, 6\/13 in ascending order.\nAnswer: -5, 6\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 174374 less than 2266872\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 152148962, 304297927, 456446892, 608595857, 760744822, 912893787?\nAnswer: 1065042752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0020426 rounded to 5 decimal places?\nAnswer: 0.00204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 4127\/302 <= 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(204)*1*3*-3)\/(-2*1*(sqrt(768) + sqrt(768) + sqrt(768)*-1 - sqrt(12))).\nAnswer: -9*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54 = 17*y - 139 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {i: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/4)*k)**8\/(k**1*k*k\/(k*k\/(k**5*k*k)*k))*(((((k**7*k)\/k)\/k)\/k)\/k**(-7))\/(k\/(k\/(k**(1\/4)*k)))**13 assuming k is positive.\nAnswer: k**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.3  (b) -1\/179  (c) -4  (d) -1  (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -12, 7, -3\/53, -1, -2\/7, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 2*x + 24. Let q be z(-13). Let f be q*(-1033)\/(-3)*3\/(-2). Suppose -5*c - 10*b + 7*b = -f, 0 = -4*c + 3*b + 821. List the prime factors of c.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 317079 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 + -16. Let u = -6 - z. Suppose 0 = -x - u + 15. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20 + -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2338\/11 + -3188\/15. Calculate the common denominator of c and 92\/735.\nAnswer: 8085","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange w**4 - 3*w**4 - 31 + w**2 + 29 + 2*w**3 to b*w**4 + t + a*w**3 + r*w**2 + z*w and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/3*2286\/(-1270)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -894062\/11 - -81513. Let n = q + -232. Find the common denominator of -4 - (1 - (-381)\/(-18)) and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d - 3. Let k(z) = -z + 1. Let w(m) = -2*k(m) + n(m). Suppose 3*q = y + 27 + 7, -4*q + 54 = 3*y. Suppose -2 = 2*o - q. Give w(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + -0.2. What is the second smallest value in m, -2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24232 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the second derivative of t**4\/4 + 3*t**3 - 7*t**2 + 4492*t. Calculate g(-8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 19 = -3*y + 7*i, y - 5*i = -28. Let k be y\/(-12) - 3\/28. Let h = k + 9\/35. What is the third biggest value in h, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * -1224.2824.\nAnswer: -1224.2824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -96, 4806, 9718, 14646, 19596, 24574?\n\"Answer: z**3 - z**2 + 4898*z - 4994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2974?\nAnswer: 2, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) -820.3  (c) 2\/9  (d) 14.05  (e) -2  (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.15 - 1.85. Let a = i + -1.2. What is a rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-69 - (-4)\/2)*-1. Let f = a + -30. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53721445?\nAnswer: 5, 17, 23, 27479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f*f**(-2\/5)*f**5\/f)**49*(f**(-3)\/((f\/f**5)\/f))**(-37) assuming f is positive.\nAnswer: f**(1002\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 9 = -4*v - 125, 596 = 5*k - 4*v. Let u = k - 117. Solve -u*y + 3*m + 15 = 0, -4*y + 0*y + 2 = 5*m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/(9\/6)*(-180)\/40. Suppose 5*f + c - 12 = 3*k, 4*k = 16. Solve 0 = 3*q + 9, f*r + 5 = -3*q + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*q**4 + 9430*q**3 + 4408365*q**2 - 35720840*q + 71744720.\nAnswer: 5*(q - 4)**2*(q + 947)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/12 - ((-186780)\/(-3600) + -53)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18, 68, 188, 414, 782, 1328, 2088, 3098?\nAnswer: 4394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-nine fifths of a century in years?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1525 and 1935?\nAnswer: 590175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 433\/6 - 72. Let x = -0.11 - 0.09. What is the nearest to 0.1 in t, x, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**2 + 7*y + 7. Let o be i(-5). Let a be (o + 115\/25)*5. Suppose -a*c - 35 = -9*c. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2*r - 4 + 3)*(r + r + 2*r)*(-4 + 2 + 3).\nAnswer: -8*r**2 + 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1\/271640 - -2213857\/2444760. Calculate the common denominator of u and 31\/486.\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**2 - 2*z + 1. Let c(l) = 2*l**3 - l**2 - 36*l + 2. What is -c(s) + r(s)?\nAnswer: -2*s**3 + 34*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) -63  (b) -0.75  (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 176\/(4277504\/(-3185)) - 1\/16.\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 5*f. Let x(j) be the second derivative of 11*j**4\/4 + j**3\/3 - 307*j. What is s(x(w))?\nAnswer: 165*w**2 + 10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 449606396 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -2*n**2 - 17*n + 69. Let c be m(-11). Solve 2*q - 4*b + c = 0, -4*q - 4*b = 17 - 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 2*f - 3*u, 5*f - u = 2*u - 5. Suppose -2*b = -7 - 1. Find the third derivative of -b*p**6 - f - 4*p**2 - 2 + 4 wrt p.\nAnswer: -480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the second derivative of i**4\/12 + 35*i - 1. Let r(c) = -602*c**2. Calculate r(a(h)).\nAnswer: -602*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -3*g. Suppose 0 = 11*p + 14*p - 20*p. Let q(w) be the second derivative of p*w**2 + 0 + 8*w - 1\/4*w**4 + 0*w**3. Calculate c(q(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/(3\/(-6)*-1). Suppose 5*x + 15 = f*x. Let d be ((-2)\/4)\/(x\/10). Let b(n) = 6*n**3 - 1. What is b(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 - 1. Let a be q\/56 + (-4)\/(-14). Let s = 0.9 + -1. What is the third biggest value in s, a, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 38, 84, 142, 212?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000041206 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 158588267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, 5\/98, 34038?\nAnswer: 34038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (21\/6)\/(945\/810)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -21363*h + 1068129. Determine n(50).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**3 + 27*m**2 + 38*m - 20. Calculate b(-25).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -10637, -21275, -31913, -42551, -53189?\n\"Answer: -10638*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 1197*x. Let c(g) = 41*g**2. What is c(h(d))?\nAnswer: 58745169*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**4*g**(-2\/3))**(-24)*(g**4\/(g\/(g**(-8)*g)))**20 assuming g is positive.\nAnswer: g**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from mkihkoi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/((-9)\/30)*-1. Suppose 2*a + 2*f = t, 4*a + 4*f = a + 18. Solve 2*j + a*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*2825.\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1264 - 3077. Let w = c + 4099. What is the common denominator of -5\/11 and 2\/11 - w\/(-495)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1703*i*t**2 - 1011*t**2 + t wrt i.\nAnswer: -1703*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c = -4*m + 6, 2*c - 3*c = 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 15\/45*(-12)\/(-2). Suppose 0 = -4*m - 101 + 757. Suppose 4*y = 5*b + m, 2*b - 60 = -v*y - b. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25 - -2. Let m = u - -24. Suppose -5*g + 4*d + 39 + m = 0, -5*d = -g - 13. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 7*a - 6*a. Suppose 116 = 4*q - 4*r, 5*r + 85 - a = 2*q. What is the remainder when 52 is divided by 642\/q + (-2)\/(-8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 2*t - 5*t + 3*t - t. Let d(m) = -15*m. Let l(c) = -85*b(c) + 6*d(c). Let f(i) = i**2. Determine f(l(n)).\nAnswer: 25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*f**4 + f**4 + 0*f**4 + (13*f + 2205 - 2205)*(-3679 + 148*f**3 + 3679) in the form o*f + k*f**2 + a + d*f**4 + h*f**3 and give d.\nAnswer: 1925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 691404 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 9326 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 + (26 - 55) + (3 - -26).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 59182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 55\/8 and 5\/887799?\nAnswer: 7102392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7907 is divided by 113.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:51 AM and 8:07 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 - 7*r**2 + 3*r - 14. Calculate the lowest common multiple of 70 and m(7).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00077289856 to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**3 + 0 - 6*u**2 - 2*u**3 - 7 - 2*u. Let k be f(-6). Suppose -q = 3*b - k, b + 4 = 4*q - 3. Solve -b = -m - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 198318 is divided by 640?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7 or 1542.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2671 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 105 = 5*i + 3*l, 4*i = -3*l - 65. Let f = -2 - -30. Let s = i + f. Solve 0 = 2*n - 6*n - s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -68\/15 and (-4)\/(-9) - 8711\/3069?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**3 + 15*k**2 + k - 19. Let c be s(15). Let w(b) = -b**3 - 2*b**2 + 2*b + 3. What are the prime factors of w(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 28, -83, 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -g - 15, -4*g = -5*p + g + 30. Suppose 121 = 2*k + p*k. What is the greatest common divisor of 22 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*b**2 + 322*b + 1 - 322*b - 3*b**3 + b**3 in the form j*b + f + r*b**3 + o*b**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = -35949*y + 35939*y + v - 190, 0 = 4*y + 4*v + 84 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14841?\nAnswer: 3, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 19\/30 + 0 + 0 - 19\/(-114). Find i, given that 14\/5*i**2 + 0 - q*i = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0.1  (b) 0.3  (c) -110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 5*c + 18 = 0, 6 = -2*z - 5*c - 0. What is v in v + 0*v**3 + v + 2*v**2 + 2*v**3 - z - 4*v = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 434657 is divided by 10315?\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 - 1. Let u(y) = 2*y**2 + 10*y + 4. Let a be u(-7). What is the least common multiple of l and 8\/a - (-75)\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 36, 4640, -4.\nAnswer: -4, 3, 36, 4640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*q + 12*q = -7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**3 - i**2 + 26*i + 4. Let y be l(-6). Put 2, y, 4 in decreasing order.\nAnswer: y, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49333019 to the power of 1\/2, to the nearest integer?\nAnswer: 7024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3, 10, -0.1, -3, -2\/29?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 140188 is divided by 1179.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 485 and 9722795.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 2.25 times -0.4949\nAnswer: -1.113525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*u - 131 - 669. Let o = 52 - u. Solve -v = -2*a + 2, a - o*a + 19 = 4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5094392 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**3\/4 + t**2\/2 - 11*t\/4 - 3.\nAnswer: (t - 3)*(t + 1)*(t + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.5  (b) -2  (c) -0.4  (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - t = -72. Let h = t + -30. Let c be (-40)\/h*9 + -4. What is the greatest common factor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1203 = 4*w - 5*a - 1147, -w = -3*a - 584. What is the remainder when w is divided by 50?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2268)*2 + sqrt(2268) + sqrt(2268))*3)\/(((sqrt(225)*-1)\/sqrt(5))\/sqrt(5)).\nAnswer: -72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert b95 (base 12) to base 5.\nAnswer: 23242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.372922338*4.\nAnswer: -1.491689352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1072 = -23*y + 15*y. Let v = -19 + y. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87 = -4*l + l. Let d = 16 - l. Let w = 22 + d. What is the remainder when 25 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 16*1*7\/14. Suppose -x*k = 3*k - 6105. Suppose -1368 = 3*r - 8*r + 4*j, 2*r - k = -j. Does 33 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + -18 + (1 - 0) - -5 - -14?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 290657164.\nAnswer: 2, 7, 23, 451331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 m, and 1 d when three letters picked without replacement from {d: 2, l: 1, b: 3, p: 5, m: 1, c: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t + t + 3. Let o(i) = -i + 1. Let u be o(2). Let g = u - t. Solve g = -j - 2*x - 3, j + 2*x - 11 = 7*x for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*s - 2*p = 53*s + 16, -7*p = 4*s + 56 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 2) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -5*t + 103 - 103. Let a(z) = -5*z + 83569 - 83569. Determine x(a(c)).\nAnswer: 25*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 AM and 2:56 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rnnnonara. Give prob of picking 2 a.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-1)\/(-33)*(-582)\/(-4) and ((-27)\/(-12) - 0)*1.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**5 + 1787*k**4 + 5367*k**3 + 5369*k**2 + 1790*k.\nAnswer: -k*(k - 1790)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 154 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-108)\/14 + 10\/(-35). Let j be ((-2)\/(-1))\/((-3)\/(-18)). Let f = j + u. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 9, z: 3}. Give prob of sequence zz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16991*s - 3 - 16989*s - s**3 + 3.\nAnswer: -s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16293886 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4471 + -1571. Calculate the greatest common factor of v and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*g + 195488 + 493600 = 0. What is the ten thousands digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -4*v - 28, 4*w - 19 = -v + 12. Suppose 5*d + p - 14 = 0, 2*d + 4*p - w = 3*p. Suppose 5*k + 6 = -9, d*r - k - 17 = 0. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -4486701, -4486702, -4486703, -4486704, -4486705, -4486706?\n\"Answer: -o - 4486700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2842 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.418 + 7.37?\nAnswer: 6.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 49068137423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 36*n**2 - 11*n*u*w**3 - 2*n*u*w**2 + 558*u*w**2 - 2*u*w - 2*w**3 wrt n?\nAnswer: 72*n - 11*u*w**3 - 2*u*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*g**2 - 8*g**2 - 11*g**2)*(12*g**2 - 9 - 11*g**2 - 129*g**3 + 131*g**3).\nAnswer: -26*g**5 - 13*g**4 + 117*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -19 in -3, 3369, 5\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 495*w - 177*w - 158*w - 162*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14687 is divided by 41.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 0)*(-2 - 4 - 3)*(31*n + 107 - 107).\nAnswer: 558*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -16 + 3*k + 16 - 3*k**2 + k**2 + 3*k - 3*k + k**2 + 0*k**2 - 2*k**2 - 8*k**2 + 4*k**2 - 5*k**2 + (2*k - k - 2*k)*(2*k + k - 5*k) - 15*k**2 + 3*k - 3*k.\nAnswer: -25*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8242 and 92612?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 45, 43, 41, 39, 37, 35?\n\"Answer: -2*c + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2548.94419 + 2549. Let t = k - 0.054. Round t to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 917ba6 (base 12) to base 4.\nAnswer: 20223023232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 312099?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**(-2\/17))\/k*k*k**(1\/12))\/(k*k\/(k\/(k*k**(-1)))*k)**34 assuming k is positive.\nAnswer: k**(-13627\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1785718 = 71*v - 176*v + 1555067. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -291*j**2 + 201*j + 5. Let h(i) = -i**2 - 6*i - 1. Let d(u) = -5*h(u) - q(u). What is the second derivative of d(k) wrt k?\nAnswer: 592","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -8.5 and 0.0632 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**2 + 2*a - 431. Let d(c) = 6*c. Calculate i(d(h)).\nAnswer: 36*h**2 + 12*h - 431","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1794265329?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from {z: 1, u: 2, m: 1, b: 2, c: 2, j: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12197, 12198, 12201, 12206?\nAnswer: 12213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 4*z**3 + z**2 - 4*z - 4. Determine c(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 312100 divided by 62420\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -4 + 4*(sqrt(125) + -1)*-5 + -3.\nAnswer: -100*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -816*d + 861*d = 180 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/14 - 74\/(-14). Let p(t) be the second derivative of -t**4\/12 + 7*t**3\/6 - 2*t**2 + 104*t - 1. What is p(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -2*x**3 - x - 3. Let t = 3427 - 3424. Let l(h) = -10*h**3 - 4*h - 14. Give t*l(j) - 14*w(j).\nAnswer: -2*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -158*b + d = -176*b - 199 - 15, -4*b - 70 + 16 = -3*d for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -3*((sqrt(33) + (sqrt(33) - -2*-1*sqrt(33)))*4)\/(-5*sqrt(22)\/sqrt(2) - -2*sqrt(176))*6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o*o\/((o*o*o*o**1*o)\/o))\/o)\/o)**(1\/21))**(3\/20)\/((o**0)**33)**14 assuming o is positive.\nAnswer: o**(-1\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -205, -209, -215, -223, -233, -245?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*v**4 - 50*v + 50*v + (2*v - v + v)*(24*v - 2*v**3 - 6 - 24*v) to r*v + p*v**4 + h + l*v**2 + u*v**3 and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-3))\/(60\/(-60)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -27094 by 1140.\nAnswer: -713\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3162656 divided by 225904.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 14 or 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(((-6*-1*sqrt(500) + sqrt(500) - sqrt(500))*1)\/((sqrt(96)\/(sqrt(24)\/sqrt(4)))\/(sqrt(44)\/(-2*sqrt(11) - sqrt(11)))))**2.\nAnswer: -1500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - x - 85 = 0, -r + 11*x - 2 = 7*x. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -125\/24 and -8\/909?\nAnswer: 7272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 195.632 at most as big as 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are -5410 and -64 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 6 = -3*g, 3*g - y = -0*g + 6. Determine t, given that -g*t - 25*t**2 - 30*t**2 + 57*t**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -704*x + 705*x - 87 = 0. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + 46 - (2 + -2). Let o = -15 + 25. Calculate the smallest common multiple of 18\/q + (-56)\/(-10) and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3863755 divided by 7?\nAnswer: 551965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2111370157 and 1781.\nAnswer: 1781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 2*p = 4*p + 2706, -2 = -2*p. Suppose 0*r + 3*r = 5*h + 2031, -4*r + 2*h + f = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 14, -10\/9, -418?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 135987945 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q**(1\/2))\/q)\/q)\/((q\/(q\/q**(3\/11))*q)\/q)*q**(-3\/8)\/((q\/((q**(-3)*q*q)\/q)*q*q*q)\/q) assuming q is positive.\nAnswer: q**(-541\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c + 56. Let a be u(0). Let w be a\/(-2)*(-18)\/(-24). What is the tens digit of 60*(-7)\/(w\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 234125537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (201\/6)\/(((-2)\/(-28))\/((-706)\/2471))\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) 17  (c) 4  (d) -0.34  (e) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from duccvcuudd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 324795624 to the nearest integer?\nAnswer: 18022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 < 10\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 4*j. Let a be -1*(-2)\/(-4)*2. Let v be u(a). Let w = v - -8. Let k(y) = -2*y + 5. Calculate k(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 - -3. Which is smaller: c or 3\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 - 0) + (2 - 0). Let l = -6 + i. Sort -2, l, 1 in descending order.\nAnswer: 1, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10162446 and -0.2.\nAnswer: 2032489.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -21802 (base 9) to base 14\nAnswer: -53db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -100, -207, -302, -379, -432, -455, -442?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6c - -148?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes before 6:19 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 107, 146, 201, 272, 359, 462, 581?\n\"Answer: 8*b**2 + 15*b + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8205*i**2 - 593*i - 51680*i**3 - 55*i - 7612*i**2 - 23104*i**4 + 3693*i**2 + 856*i**2.\nAnswer: -4*i*(i + 2)*(76*i + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 318, 309, 294, 273, 246, 213, 174?\n\"Answer: -3*v**2 + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 61 and 0.1124.\nAnswer: 61.1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61*l - 16*l - 26 + 37 - 11.\nAnswer: -77*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 51963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 - 2. Suppose w - 2*w + 2 = y. Solve -3*g + 3*b = -15, b + 4 = w*g + 2*b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 2*a = 215, 5*a - 81 = -u + 2*a. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 221*w - 6151. Calculate f(28).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3545263\/6 or -590877?\nAnswer: -590877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12453 + 99657 = 1010*k for k.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is (-212 + 4)\/((-30)\/135) + 7 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -299758 and -0.0018.\nAnswer: 539.5644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32561 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (7\/14)\/(1\/6). Factor -3*o**4 + 0*o + 2*o**u + 8*o**4 - 2*o**2 - 2*o - 3*o**4.\nAnswer: 2*o*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2664802?\nAnswer: 2, 7, 131, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**19*w*w**(-21)*w*w)**(-2\/141))**(5\/9) assuming w is positive.\nAnswer: w**(-20\/1269)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -0*f + 2*f. Let q = -5 + f. Suppose 3*x - x = q. Which is smaller: x or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -2*c**2 + 36*c - 117. Let s be q(13). Sort 26, -1, s in descending order.\nAnswer: 26, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -1 + 6*g**3 + 0 + g**3. Let x(k) = -3*k**2 + 8*k + 17. Let d be x(4). Give i(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**3 - 6*d**2 - 7*d - 4. Let p(x) = -x**3 - 11*x**2 - 14*x + 2. Let m be p(-6). Let n = m + 101. Give o(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -3*b - 11. Let u(r) = 19 - 24 - 448*r + 222*r + 225*r. Suppose w + 0*w = 9. Give w*u(m) - 4*y(m).\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.1176 - -0.2824. What is the closest to 1 in n, 663, -1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**2\/4 - 39630*p + 12859803\/4.\nAnswer: -3*(p - 81)*(p + 52921)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*p + 1 = 5*i + 32*p, -3 = i - p. Let v(z) = 14*z - 1. Let c(b) = 1. Give i*v(g) + 2*c(g).\nAnswer: 14*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 8*y = 3*y + 235, 2*y = -2*k + 120. Suppose 0 = 2*b + 5*v - k, -34 = -b - 11*v + 8*v. What is the remainder when 99 is divided by b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 (base 10) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 16609857 divided by 14817\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4  (b) -2\/11  (c) -1\/6  (d) 0.1531\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/68 in -1\/3, 0.3, -4, 6, -33\/10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 21242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 2*w**2 - 2*w - 2. Let h(q) = -q**3 - 5*q**2 - 6*q. Let t be h(-4). Let o(b) = -t*b**2 + 9*b + 4 + 3 + 6 - 4. Calculate -18*k(r) - 4*o(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 4*a + 78 = 4*o, 172 = 3*o + 5*a. Suppose 0 = v - 4*v + 3*q + 69, -3*v - q = -o. What is the highest common divisor of 216 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2360 and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**2 + 14*q - 62. What are the prime factors of y(10)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 212 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -38 (base 15) to base 14\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (24\/42)\/(4\/(-14)). Calculate the remainder when 102 is divided by -2*k\/4*21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 954660 and 963060.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 503 + -484. Calculate the remainder when 24 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*r**2 + 124334*r - 124334*r.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 13985165, 27970322, 41955475, 55940624, 69925769, 83910910, 97896047?\n\"Answer: -2*l**2 + 13985163*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -30*g**3 - 6*g**2 - 18*g + 2. What is f(-2)?\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 881 + -925. Do -8 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -3  (c) 2\/5  (d) -1.7  (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -4*a + 4. Let q be c(-4). Suppose g - q = -g. Suppose 2*h + 12 = v + 1, -g = -2*h. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1314 divide 89337546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4980605 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s - 2*s + 318. Let v = 194 + s. Let j be v - (9 - 1)\/(-4). What is j rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6824520 and 2985?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-130338)\/(-2785))\/((-65)\/(-50))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -11*14\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 141443 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {q: 1, x: 17}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 14, 22, 24, 20, 10?\n\"Answer: -3*n**2 + 17*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4723662?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - 0 - 66. Suppose 0 = -4*q + 3*k + 232, 165 + 106 = 5*q + k. Calculate the greatest common factor of q and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -a**3*w**3 - 7*a**3*w**2 + 341329*a**3 + 2*a**2*w**3 - 8030345*a*w**3 wrt a.\nAnswer: -6*w**3 - 42*w**2 + 2047974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 1672*m**3 + 19*m**2 + 19*m. Let x(p) = 186*p**3 + 2*p**2 + 2*p. Calculate -2*b(s) + 19*x(s).\nAnswer: 190*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) - (1*sqrt(171))\/sqrt(9)) + sqrt(19)*-3*4)**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 8, 0, -3\/11, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -182300915 - -1.58\nAnswer: -182300913.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -76521642*a*t**3 - 78*a*t**2 + 8637*a*t - 2*a - t**2 - 3 wrt t.\nAnswer: -459129852*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 207\/2 or -90100?\nAnswer: 207\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 0*d = 4*d + 288, l - 46 = -5*d. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 50 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the second derivative of -c**7\/2520 + 13*c**4\/12 + 8*c. Let t(s) be the third derivative of u(s). Let l(z) = -9*z. Determine l(t(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 25 - (167 - 172 - (-2 - -19))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmmmmmmlmmmmmmmlmm. What is prob of sequence mm?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 494 = -0*k + 4*y, 0 = 4*k + 4*y + 664. Let z = k + 174. Solve 3*n - 1 + z = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, x: 1, c: 2, p: 1, a: 1, d: 1}. Give prob of sequence dx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d - 2. Let c = 34 - d. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the second derivative of -2*o**7\/7 - 7*o**3\/3 - 7*o. What is the second derivative of k(g) wrt g?\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 15 and 1277961?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 402*f**2 + 49*f + 7. Let v(l) = -l**2 - 7*l - 1. Determine -2*k(t) - 14*v(t).\nAnswer: -790*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 62, 3, 1, -2, -27 in decreasing order.\nAnswer: 62, 3, 1, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 490092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4.56 + -0.09. Let m = g + -193.35. Let r = m + 197.999428. What is r rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -161faf (base 16) in base 12?\nAnswer: -59b093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 19442759?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -4 + ((2*sqrt(91)*1 - (sqrt(91) - sqrt(91)*-2)*-3)\/((sqrt(7) - (sqrt(7) + sqrt(63) + sqrt(7)))*4 + sqrt(7) + sqrt(84)\/(sqrt(24)\/sqrt(2))))**2 + 1.\nAnswer: 1769\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y - 1. Let b be g(3). Suppose -4*a + 6*a + b = 0. List the prime factors of 18*a*(-5 - -4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in 363*y**5 + 4730*y**4 - 131*y**3 - 3654*y**2 - 1204*y - 104 = 0?\nAnswer: -13, -2\/3, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y. Let u be b(0). Suppose 2*g - 4 = 0, m + m - g + 12 = u. Put -2\/3, -8, m in ascending order.\nAnswer: -8, m, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -4074, 12 in descending order.\nAnswer: 12, -1, -4074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 116\/1015*(-3 - 115\/(-50)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, c: 1, l: 2, a: 4}. Give prob of picking 2 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1 times -4475766?\nAnswer: -4923342.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w - 25 = 3*g, -63*w = -62*w - 2 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12*l**5*v**3 + 4159*l**5*v + 31*l**2*v**3 - 20*l**2*v**2 + 23*l**2 + 2 wrt l.\nAnswer: 720*l**2*v**3 + 249540*l**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 1 = 3. Let i be g\/2*2 + -2. What is the nearest to -1 in -4\/3, 0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -25, -g = 3*t + 2*g - 453. Let a = -105 + t. Let j(l) = 26*l**2 - l. What is the remainder when a is divided by j(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-3*((sqrt(432) - (1 + sqrt(432) + 0)) + sqrt(432)))**2.\nAnswer: -864*sqrt(3) + 15588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 840610 by 420305.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.9 + -1. Let l be 2*(20 + -26) - (-124)\/10. What is the closest to 0.2 in z, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15662235 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2127998)\/(-14) + (-1)\/(-7). What is q rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 386889 by 3.\nAnswer: 128963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1367*w - 1368*w - 3 = 2*j, 28 = -w + 3*j for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - -22301304931955?\nAnswer: 22301304931960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/((-108)\/15)*(-8)\/(-5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*l + 0*l + 3*l)*(1 + 3 - 6) + 15*l - 13 + 27 - 15)*(5 - 5 - 2*l).\nAnswer: -26*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 261 + -236. Solve 9 = 4*t + w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9513 and 4194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 669017807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -3*s**2 - 2. Let h(f) = -8 - 12*f + 12*f + 10*f**2 + 15. Let n(m) = -6*h(m) - 21*o(m). Let r(v) = 6*v**2. What is n(r(j))?\nAnswer: 108*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -b**2*n**2 + 136*b**2*n + 16*b**2 - 51*b*n + 5*b - 2*n**2 wrt b.\nAnswer: -2*n**2 + 272*n + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -16641\/125 or -132?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 - 7. Let s = -3.5 + w. Let u = 3209 - 3213. Sort 1\/2, u, s in descending order.\nAnswer: 1\/2, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12906629 or -12906628?\nAnswer: -12906629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 18, 5, 2 in increasing order.\nAnswer: -2, 2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*o + 62855 - o**3 + 62851 - 47*o - 125706.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 0 + 1245\/(-180) - 36\/(-9)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7043, 56934, 192563, 456866, 892779?\nAnswer: 1543238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -4, -0.91.\nAnswer: -4, -0.91, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 5*z - 6*z. Let l(r) = 2*r + 21. Let u be l(z). Suppose u*d - 40 + 10 = 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4110624 times -0.17?\nAnswer: 0.069880608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 261.0153 - -20227?\nAnswer: 20488.0153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1101 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 42\/(-35)*(120\/(-2736))\/((-35)\/(-10)).\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -23*l + 33. Let v be d(18). Let a = -89 - v. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 z when two letters picked without replacement from zzzeezzezzzzzzxzz.\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 18 and 691156818.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000212113 to seven dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3146828983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes after 6:39 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -6 and 1007624.\nAnswer: -6045744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -16978484*z**3 - 380101.\nAnswer: -50935452*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 414?  (a) 11.19  (b) 4  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -21, -37, -53, -69, -85?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.18 + -9.18. Let h = -54 + 62.5. Let v = k + h. What is the nearest to -2\/5 in 5, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 80 - 27. List the prime factors of p.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**2 + 8*p - 4. Let t be z(-7). Let m = 147 - 128. Let d = t + m. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.344 - -0.344. Let g = 0.4 + -0.3. Let x = 15 - 10. Which is the closest to 2\/7?  (a) l  (b) x  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1091.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 71545 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the second derivative of -16*h**4\/7 - 24*h**3\/7 - 27*h**2\/14 + 10*h. Suppose q(d) = 0. Calculate d.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 1 - 46*w + 3.\nAnswer: -46*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -6 + (-1 - 20\/(-12)). Let y = u + 67\/12. Let g = -0.2 - -3.2. What is the third biggest value in -2\/5, g, y?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - 0. Calculate the smallest common multiple of t and (48\/(-30))\/(4\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -337 + 2?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-73 - -37) + 23 - -17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - ((2 - (3 + -2)) + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(99)\/(sqrt(9) - sqrt(9)*-3) + (sqrt(11) - (sqrt(77)\/(sqrt(343) + sqrt(7)) + sqrt(11))) + sqrt(11).\nAnswer: 9*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o + 4*m + 16 - 2, 2*m + 10 = 0. List the prime factors of o*(-3)\/12 + 127\/2.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/8)\/((-90)\/12 - -6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -838 + 816. Let d be (-26)\/u - 50\/275 - -1. Solve w + w + d = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j**2\/3 + 955*j + 375858 = 0. What is j?\nAnswer: -2394, -471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = u - 2. Suppose -2*g = -y + 3, 5*g + 0*g + u = 3*y. Is -5 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -21563 + 21563. Sort u, 2\/11, 1\/2.\nAnswer: u, 2\/11, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 327948911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2462302?\nAnswer: 2, 743, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 4*z - 5. Let l(u) = -6*u + 7. Let h(g) = 7*j(g) + 5*l(g). Let c(w) = -3. Let i(f) = f + 6. Let d(s) = -6*c(s) - 3*i(s). Determine h(d(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29.52216 meters to kilometers.\nAnswer: 0.02952216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -1 - s - 2*s**3 + s**2 - 4*s**2 - 2 - 4*s. What is the remainder when d(-3) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*j - 2953 = 3095. Is (474\/(-8))\/(j\/17696) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -309192.55 to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 206*n - 103*n - 104*n + n - 2*n - n + (-2*n + 2 - 2)*(1 + 2 - 1) + n + n - n.\nAnswer: -6*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/((45\/(-12))\/5). Let n = 59 - b. Suppose 0 = 3*i - 8 - 13. Calculate the highest common factor of n and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s**3 - s**3 + s**3 - 3*s**3 - s**3 + 6*s**3 + (-1 + 3 + 0)*(2*s**3 + 2*s**3 - 3*s**3) + 0*s + 0*s - s**3)*(-93*s + 35*s + 93*s).\nAnswer: 140*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -29*m**2 + 24*m**2 - 3*m + 2*m - 14 + m**3 - 3*m. Let q(j) = j**3 - 4*j**2 - 3*j - 4. Let s be q(5). Let v be a(s). Put v, 4, -1 in ascending order.\nAnswer: v, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.36 + -0.06. Let u = -34 - -33. Let f = 1.3 - 1.5. Which is the nearest to -2?  (a) j  (b) u  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1994, 2098, 2276, 2534, 2878, 3314, 3848?\nAnswer: 4486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-44 + 26 - 41)*(0*a**3 + 4*a**2 + a**3 - 2*a**2) as l + t*a + m*a**2 + c*a**3 and give m.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -50 + 50. Suppose i*x + 66 = 2*x. What is the common denominator of -13\/18 and ((-2090)\/x)\/(0 - -4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -15*b**3 + 4*b**2 + 96*b - 76889?\nAnswer: -45*b**2 + 8*b + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -2468332 divided by 13\nAnswer: -2468332\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 + 9. Suppose j = 11*j - 20. Factor -j*v + v - 6*v**2 + x + 3*v.\nAnswer: -2*(v - 1)*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10 in 4, -3, -0.4, 15.8?\nAnswer: 15.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.35 and -87.65.\nAnswer: -87.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5666 + 5670 + 5660 - 16996 + a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1381 = 82*t - 1350 + 1091 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -4*h + 1. Let m be t(1). Let v = -182 + 176. Let l be 2 - 8\/v*-3. Which is the smallest value?  (a) 4  (b) m  (c) 1\/4  (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2669 - 1734. Is a a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(2*(sqrt(136)\/(sqrt(8) + sqrt(24)\/sqrt(3)) - sqrt(544)\/sqrt(2)) + -2 + (sqrt(51) + -1*sqrt(51)*4)\/(5*sqrt(12))))**2.\nAnswer: 5256*sqrt(17)\/5 + 818937\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**3 + 12*u**2 + 9*u - 16. Let s be d(-11). Factor 3*o + 4*o**3 + 5*o + s*o**3 - 24*o**2.\nAnswer: 2*o*(o - 2)*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -185036, -2, -23 in increasing order.\nAnswer: -185036, -23, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**3\/3 + 94*w**2\/3 + 364*w\/3 + 120.\nAnswer: (w + 2)**2*(w + 90)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 283763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + 7*q - 6*q = -1, -z + q + 1 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.2 + 0.1. What is the third biggest value in o, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - 2*r - 65 = -0*d, -2*d + 297*r = 327*r + 7 + 19 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/646640 and 87\/113162.\nAnswer: 4526480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 85692840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 1 + 4 = 0. Let r(n) = -48*n - m + 45*n + 5. Let v(p) = 4*p - 6. Determine -7*r(g) - 5*v(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1, -7, -15, -23, -31, -39?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7 and 1793?\nAnswer: 12551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 6 = 4*f - 16, 10 = 3*f - 4*t. Let j(a) = 2 - 16 + 7*a - 2 - 4*a. Let q be j(f). Solve -q*v - 5 = -7*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2534 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 30044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23969360 is divided by 2717?\nAnswer: 2703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -140296407*t**3 + 2276*t**2 + 7*t - 148 wrt t.\nAnswer: -841778442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -2225683 to the nearest one thousand.\nAnswer: -2226000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1.2, 2, 5, -1\/3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -896, -610, -112, 616, 1592, 2834, 4360?\nAnswer: 6188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 13568 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -283 + 411. Calculate the highest common factor of 16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 2*z**2. Let p = -105 + 286. Let v(w) = -58*w**2 - 181 + p. Calculate v(l(b)).\nAnswer: -232*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m**3\/8 + 11*m**2\/8 + 25*m\/8 + 13\/8 = 0. What is m?\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11.713 * -1.\nAnswer: -11.713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 305798.5g to micrograms.\nAnswer: 305798500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -3*b - 3. Let g(w) = 3*w - 19. Let d be g(8). Suppose -4*x = -d*n + 8, 4*x + 8 = -0*x + n. What is m(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 283 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**3 + 77*n**2 - 81*n - 212. Let g be b(-78). Let r(s) = -6*s + 93. Give r(g).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 10 - 4. Let t = c - -19. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -566*o**2 + 1587*o**2 + 1000*o**2.\nAnswer: 2021*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/2, 653968, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (9*c**3 - 5*c**3 + 6*c**3)*(2 - 4 - 1) + 2 - 26*c**3 + 50*c**3 - 27*c**3 to o*c + d*c**2 + m + p*c**3 and give p.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -13*o**2 - 14. Let r(k) = -629*k**2. What is d(r(l))?\nAnswer: -5143333*l**4 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4093 and -1309.\nAnswer: 535.7737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 156596?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 3*b**3 - 41*b**2 + 35*b - 9. Let d(s) = -s**3 + 14*s**2 - 12*s + 3. Let x(m) = -17*d(m) - 6*t(m). What is the tens digit of x(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -2. Let x(q) = 3*q - 1. Let w be x(f). Suppose -p = -5*l + 3*l + 3, 3*l - 22 = -w*p. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((18*i - 52*i + 16*i)*(-1 + 3 + 1) - 5*i + 2*i - 2*i)*(i + 2*i - i)*(-3*i - i + 3*i).\nAnswer: 118*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes after 10:16 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2844972 and 1332?\nAnswer: 105263964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-54)\/30*(4 + (-387)\/(-27))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4\/47 + -58\/423. Which is the closest to o?  (a) -12  (b) -4  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a**3 - 79*a**2 + 79*a**2 + 3*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -2*r**2. Let x(w) = 2*w**2 + 198332. Give x(c(m)).\nAnswer: 8*m**4 + 198332","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 30 - 30. Solve a + 2 - 3 = u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2383 or -2671?\nAnswer: -2671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1290 = -12*y + 1158. What is the greatest common divisor of 24 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1593.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**3 - 147*r**2 - 267*r - 74. Determine f(-145).\nAnswer: -3409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12211002122022120 + 0?\nAnswer: 12211002122022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 583, 1153, 1723?\n\"Answer: 570*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 93, 89, 85, 81?\n\"Answer: -4*y + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -52 - -128. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 135*d - 18*d - 702 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.008094949 rounded to five dps?\nAnswer: -0.00809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15019 = -30*l + 441*l + 242*l for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 119 - 91. Suppose i - 2*t = 0, -3*i + g*t = 25*t - 3. Solve -3*h - i*h = -20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**(-2\/9)*h**(-5))**(27\/7) assuming h is positive.\nAnswer: h**(-102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13.2 - -189.8. Let k = 202.6 - d. What is the second smallest value in -30, 2\/3, k, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2007 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-40)\/16*((-24)\/(-5))\/(-2)*-1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*i**3 + 4*i**3 + i**3 + (-3*i**2 + 5*i**2 + 0*i**2)*(2*i - 21*i - 14*i) in the form n + k*i + b*i**3 + l*i**2 and give b.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1169.\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 - 4. Let x be (-80)\/(-12)*(-6)\/o. Round x to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -202259, -404525, -606789, -809051, -1011311, -1213569?\n\"Answer: b**2 - 202269*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.0492  (b) 275003  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.0222 and 15.294.\nAnswer: 15.3162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 7*d + 2. Calculate m(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1520 by -304.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the third derivative of -d**5\/15 + 35*d**4\/4 - 53*d**3\/3 - 26*d**2 + 21*d - 1. Calculate q(52).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 5*h = n - 48, 5*n - 5*h - 120 = 0. Let k = 6 - 3. Suppose -k*q = 15 - 42. Calculate the remainder when n is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 155e3d + 13?\nAnswer: 155e51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 2207736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 903 in 4, -112\/5, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -235 + -13?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 4*g = -r - 27, -2*r = -4*g - 34. Suppose -r*w - 156 = -443. What is the smallest common multiple of w and 6?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, h: 17}. What is prob of sequence hh?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62895120.\nAnswer: 2, 3, 5, 503, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6*(-9)\/180*2*5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 + 14. Suppose 0*l - 70 = -4*l + 3*y, 0 = 2*l - z*y - 42. What is the greatest common factor of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 891 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-1\/43)*l)\/(l\/l**(3\/20)))\/(((l\/((l\/(((l\/l**(5\/2))\/l)\/l))\/l))\/l*l)\/(l**(-20)\/l)) assuming l is positive.\nAnswer: l**(-15801\/860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.24?  (a) 4  (b) 0.5  (c) -2  (d) -69  (e) 407\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + 4. Suppose 0 = -w*p + 3*p - 6. Find the third derivative of -3*t + t**2 + 3*t - p*t**3 wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 29\/2 of a milligram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 19987 + -19792. Solve -c = -a - 201 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b + 4*f - 1028 + 268, -5*f = 0. Let h = b + -106. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 215*m - 25493 = -474*m for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + (16 - 4 - 4) + 9?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyvryrvmyyy. Give prob of sequence yv.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 7*a**2 + 46*a - 19255. What is j(-56)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18 - -25. Calculate the remainder when 25 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77 is divided by 42.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 - 5. Find the third derivative of -1 + p**2 - 2*p**l + 1 + p**3 wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the third derivative of 1\/840*t**6 - 1\/168*t**4 + 0*t - 1\/98*t**7 + 0 + 17\/420*t**5 + 7*t**2 - 1\/21*t**3. Let m(s) = 0. Calculate s.\nAnswer: -1, -1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 26857 - 13244. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-66*r + 42*r + 34*r)*(-2*r**2 - 7*r**2 - 11*r**2).\nAnswer: -200*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16826, -67344, -151548, -269438, -421014, -606276?\nAnswer: -825224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -5*t - 12*t**2 - 1 + 3*t + 11*t**2. Give i(-6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 - 33 - 17 - -41?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.53 + 0.18. Let a = j + -1.55. Let n = -0.1 + a. What is the second biggest value in -1\/2, -0.4, n?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -30 + 22*n**2 - 85*n - 76*n + 13*n**2 - n**3 + 96*n. Give w(33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 151 greater than 155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddffdffffdfddffvfdfd. What is prob of picking 3 f and 1 d?\nAnswer: 88\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (72\/(-27))\/(4614\/(-2304) - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 161*l**2*m**2 + 6*l**2*m + 57*l + 21*m**2 wrt l.\nAnswer: 322*m**2 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 281 = 2*p - 21, 2*p = 4*g + 332. Does 36 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5208615 + 1738615. What is k rounded to the nearest 100000?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 9, 3, -1 in ascending order.\nAnswer: -4, -1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 104, 140, 200, 284, 392?\nAnswer: 524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) 116715  (c) 0.01  (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.1 and 35.77.\nAnswer: 35.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2\/7, -1\/6, -12, 0.1, 23.084, -55?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 84030.\nAnswer: 2, 3, 5, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -5933 < -4\/595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 81200997 and 558.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7890.133 tonnes to micrograms.\nAnswer: 7890133000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 103*p + 279*p - 80*p + (4*p - p - 2*p)*(2 - 3 - 1) - 5*p + p + 3*p.\nAnswer: 299*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -i + 8. Suppose i = 4*d - l, 4 - 2 = -2*d - 2*l. Is d\/6 - (-3651)\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (18\/45*175\/30)\/((-1)\/(-33)). What is the greatest common factor of 14 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 106 - 262*w**2 - 106 as n + z*w**2 + u*w and give z.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyyyyyymyyyymyyymyy.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 19*d - 1436. What is p(75)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the second derivative of 5*h**4\/12 + h**3\/6 + h**2\/2 + 988*h. Let w(a) = -11*a**2 - 2*a - 3. Calculate 7*n(b) + 3*w(b).\nAnswer: 2*b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -2\/465?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 7*t**2 + 139*t + 8. Let i(l) = -2*l**2 - 6*l - 6. Let h be i(-3). What is the remainder when p(-20) is divided by (17 - (h - -2)) + -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:19 AM and 4:25 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1790, 1798, 1806, 1814?\nAnswer: 1822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.07 + -4.07. Let p = -3700 + 3699.5. What is the nearest to h in p, -3\/5, -1\/6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand g + 0*g + 0*g + (2*g + 3 - 3 + (0 - 2 + 0)*(2*g + 0 + 0))*((-1 - 4 + 6)*(-1 + 0 + 4) - 6 + 14 - 1 + 9 + 6 + 78).\nAnswer: -205*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iizccczc. Give prob of picking 3 c.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 19  (b) -61  (c) 0.16  (d) -2\/15  (e) 2\/7  (f) 4\/3  (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -258 = -5*s - 78. Calculate the highest common divisor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1075.18 * -1.67.\nAnswer: 1795.5506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(2\/7)*(x\/(x\/(x**(2\/19)*x))*x)\/x*x*(x*x**16*x)\/(x*x\/x**(-7)) assuming x is positive.\nAnswer: x**(1515\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**2 + 4. Let r be s(0). Let x = r + -8. Let t(k) = -k**3 - 4*k**2 + k + 4. Give t(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48181926179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -54*d**4 - 8*d**4 + 12*d**4 + (-d**2 + 4*d**2 - 2*d**2)*(-2*d**2 - d**2 + d**2) + 0*d**3 + d**4 + 0*d**3.\nAnswer: -51*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -165 divided by -5?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 146959.\nAnswer: 179, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -298654.0307 rounded to the nearest 10000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 6*n**3 + 5*n**2 + 16*n - 18. Let a(q) = q**3 - q**2 + q. Let l(o) = -5*a(o) + j(o). Calculate the remainder when 85 is divided by l(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -160 + 175. What is the lowest common multiple of (-42)\/(-10) + (-3)\/q and (2 + -1)*31 + 1?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, p: 5, f: 1, d: 3, b: 1}. What is prob of picking 2 p?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.30965ng in milligrams?\nAnswer: 0.00002430965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 201, 213, 233, 261, 297, 341, 393?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 147*s**2 + 6*s - 11. Let f be j(-7). Round f to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-144)\/136)\/6*((-80)\/(-15))\/8.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 926885*a - 236358?\nAnswer: 926885","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q - 2*q - 20. Let v = q - -6. What is the units digit of (-3)\/v + 970\/20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 2:10 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -a6 - -61?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -430*l = -2152 + 15912 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -54\/36691 or -1?\nAnswer: -54\/36691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 152 and 48.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) 2  (c) -6\/2249  (d) 4  (e) -5  (f) -4204\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.4 + 0.48. Let l = u + -3.08. Let x = l + 2. Which is smaller: 3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -525*b - 1552. Calculate z(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6926 a factor of 3336870614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -32924 - -32923.93087. What is p rounded to three dps?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the second derivative of -27*w**3\/2 - 62*w**2 - 14*w + 3. Differentiate k(b) wrt b.\nAnswer: -81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -401402, -401413, -401424?\nAnswer: -401435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (k**2 + k**2 - k**2)*(-1 - 11*k + 6*k + 0) to the form n*k + u*k**2 + d + c*k**3 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 30 + -27. Suppose 4 = -r*d + 10. Solve -d*w + 7 = -1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 12*f - 91. Let c be p(18). Suppose 124*t - c*t = -36. Calculate the least common multiple of 9 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/((f\/(f\/((f\/(f**(6\/5)\/f))\/f)))\/f))\/f**1 assuming f is positive.\nAnswer: f**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-14)\/(-7))\/((-2)\/(-19)). Let g(f) = -f + 24. Let y be g(j). Suppose y*q - 45 = 10. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 7 - 6)*(-j + 0 + 0)*(-1 + 1 - 3) to the form p + d*j and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the first derivative of 0*w**2 + 1 + 0*w**5 + 0*w**6 + 0*w - 1\/7*w**7 - 5\/3*w**3 + 0*w**4. What is the third derivative of r(k) wrt k?\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46611?\nAnswer: 3, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 13526976 and 35976.\nAnswer: 13526976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71*p + 59*p + 60 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 + 1.3. Let y be (-1)\/(-2) + 9\/(-10). Let r = -0.06 + 4.06. Which is the third biggest value?  (a) r  (b) o  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -541210 (base 8) in base 7?\nAnswer: -1352216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-29*h + 33*h + h**2 - 33*h)*(-2 - 26 - 1) + (3*h + 0 + 0)*(-5*h + h + 2*h) to the form o + i*h**2 + y*h and give y.\nAnswer: 841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - -4 - 3 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2359774272?\nAnswer: 2, 3, 12290491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 37.4?  (a) -4  (b) -3  (c) 1\/8  (d) -3.15  (e) 127\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 430 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3756 is divided by 998?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3532.\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 13, 47, 105, 187, 293?\n\"Answer: 12*i**2 - 2*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -12, 14, 44, 78, 116?\n\"Answer: 2*p**2 + 20*p - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 337\/4 in 3\/4, 0.7, -3, 4.1, -0.5?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 135 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve o + 58 = s + 44, o = 3*s - 24 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5251024 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 114*w + 112*w - 4 + 63*w - 433*w + 74*w.\nAnswer: -70*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -336142752*x + 812299366 wrt x?\nAnswer: -336142752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*n - 2*k = 45*n + 58, 7*k = -4*n + 49 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-24)\/(-10) - 6\/15. Suppose -s + d*s = -2200000. Round s to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14187099*i**3*s**2 + 6*i**3*s + 56501*i**2 wrt s.\nAnswer: -28374198*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*n - 3*n = -150. What is the remainder when 9 is divided by 1*n*(-12)\/(-24) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 530568236?\nAnswer: 2, 11, 19, 634651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes after 9:34 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-209026)\/(-36) - (-8)\/(-12). Let s = x + -5803. Find the common denominator of 55\/2 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3.5684 and -0.0547.\nAnswer: -3.6231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*m - 3*m + 6*m)*(7*m + 13*m - 5*m) - m**2 + 5*m**2 - 2*m**2)*(m**3 - 3*m**3 + 4*m**3) - 33*m**5 - 14*m**5 + 18*m**5.\nAnswer: 5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -5821767.\nAnswer: -5\/5821767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3\/4*p**4 + 1\/4*p**3 - 1\/4*p + 5\/4*p**2 - 1\/2 = 0 for p.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.96*-2.8\nAnswer: -2.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5239 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14 - 11. Let d(a) be the first derivative of -1\/3*a**s + 1\/2*a**2 - 3 + 0*a. Factor d(p).\nAnswer: -p*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -22*w**3 + 26*w**3 + 77*w**2 + 11*w**4 - 5*w**4 + 5*w**4 + 7*w**4 wrt w?\nAnswer: 432*w + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2 - 83*h + 394. Let w be a(5). Solve 5*u = 10*u - r - 7, -10 = -w*u + 3*r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -14, 76, -4 in increasing order.\nAnswer: -14, -4, 11, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -3*d. Let a(c) be the first derivative of 0*c + 8 - 5\/2*c**2. Determine a(o(k)).\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/30 of a minute in milliseconds?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8223*r + 72 = 8234*r - 4*m, -9*m + 5*m = -r - 0*r - 5*m - 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w and 2 o when four letters picked without replacement from {o: 6, t: 3, w: 6}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 21.1 - 16.1. Sort 1, w, 0.01 in descending order.\nAnswer: w, 1, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/640 and 97\/1849920?\nAnswer: 3699840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 14301905 to the power of 1\/2, to the nearest integer?\nAnswer: 3782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5005684 and 850.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 31\/182 + 3\/26. Sort 4, 5, -3, a.\nAnswer: -3, a, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 2*d - 3)*(0*d - 4 - 5 - 2*d) as w + c*d + f*d**2 and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -61*a**3 - 3*a**2 + 3*a - 24911 wrt a.\nAnswer: -183*a**2 - 6*a + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -330123434 - 51?\nAnswer: -330123525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dgg when three letters picked without replacement from ggggggdggdgdggg?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/1044 and 17\/641538?\nAnswer: 1283076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j**2 + 3*j**2 + j**2)*(227 - 19*j - 227).\nAnswer: -38*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13483\/28583 + -48\/101. Let m = -842\/1981 + z. Let q = 3 + -2.5. Which is the third smallest value?  (a) m  (b) 5  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**3 - h**2 - h. Let n(l) = 8*l**3 + 3*l**2 + 4*l + 1. Give -6*d(j) - 2*n(j).\nAnswer: -10*j**3 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:56 PM and 12:40 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 10*i - 203 + 203. Let h(s) = -2*s. Give a(h(l)).\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 5779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + 37. Let k be ((-10)\/(-1))\/(2\/y). Let a = -563 + 583. Calculate the greatest common factor of a and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.1, 2\/7, 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the second derivative of -1\/4*q**4 - 7\/6*q**3 + 0 - 3*q + 0*q**2. What is the second derivative of r(w) wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 1310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 2*s + 13. Let c be p(-7). Sort 5, c, 0 in increasing order.\nAnswer: c, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -65 - (4 + 3 + (0 - 8) + 13).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -3*v, -6*g + v + 26 = 28 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -463071, -463061, -463027, -462957, -462839, -462661, -462411, -462077?\n\"Answer: 2*q**3 - 4*q - 463069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -907 - -1386. Let h(i) = 4 + p*i - 139*i - 20 + 16. Let l(c) = -2*c**2. Determine l(h(n)).\nAnswer: -231200*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 11665 and -4.\nAnswer: -46660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -161\/284?\nAnswer: -161\/284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 4, 51\/5, -2\/3055, 2\/9, 20 in descending order.\nAnswer: 20, 51\/5, 4, 0.5, 2\/9, -2\/3055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 8889486 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4617 + 8030. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*t - 43*t = 0. Is -3\/85 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15621, -15630, -15641, -15654, -15669, -15686?\nAnswer: -15705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.99 + 1.990041. Round l to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 180 - 88. Suppose u = -2*b + 43, 4*u = -3*b + 6*u + 75. Calculate the highest common divisor of j and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -20*r + 346. Let a be f(17). Let o = -2 + 8. Let p = o - 6. Solve 2*m + a = -p*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the first derivative of -17\/3*z**3 + 0*z**2 + 0*z**6 + 0*z + 0*z**4 + 15 + 0*z**5 - 12\/7*z**7. Find the third derivative of a(x) wrt x.\nAnswer: -1440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 18706*l**3 + 55340*l**2.\nAnswer: 112236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*r + 12*r - 1800 = 0. Let w be ((-200)\/r)\/((-6)\/27). Which is greater: 32\/3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 977588 and 247076?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2180 take away -6?\nAnswer: -2174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 17*s - 5. Let i(g) = 100*g - 30. Let z(p) = 35*b(p) - 6*i(p). Determine z(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w**2*w)**(9\/7))**(-2\/113))**27 assuming w is positive.\nAnswer: w**(-1458\/791)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 + 34*r**2 - 3*r + 102. Give d(34).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the second derivative of a**5\/2 - 2*a**2 - a. Differentiate i(x) with respect to x.\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16*u + 3*u - 4*u to the form y + g*u and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 28896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = 5*n + 6 - 29, 4*j = 3*n - 24. Solve n*w = -4 + 16 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 8118, 15563, 23010, 30459?\n\"Answer: l**2 + 7442*l + 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 468 and 101972.\nAnswer: 917748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 128 - 136. Let y = 19 + w. Solve -15*s = -y*s + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (18\/10 - 1) + 714\/170. Solve 3*q + 4 = -v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 745219*m**2. Let x(f) = -7*f**2. Calculate j(x(b)).\nAnswer: 36515731*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00445573454 rounded to five dps?\nAnswer: -0.00446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:56 PM and 6:43 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 26bb4e (base 16) to base 11\nAnswer: 1484092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/7, 11, 42 in descending order.\nAnswer: 42, 11, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 538, -2, -3, -5 in decreasing order.\nAnswer: 538, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5\/3, 5, -63 in descending order.\nAnswer: 5, 5\/3, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c. Let p(t) = -t. Let x(k) = 6*p(k) + 5*v(k). Let r(o) = -10*o**2. Give r(x(y)).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 39 = -4. Let a = m + -49. Let g = a - 0. Is -0.1 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17895?\nAnswer: 3, 5, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*t - 525 + 291 = 0. Let n(r) = -r**3 + 6*r**2 - 2*r + 12. Calculate the least common multiple of t and n(5).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -5*a**3 - 4*a**2 + 2*a + 5. What are the prime factors of b(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 6*(sqrt(176) - (sqrt(176) + sqrt(176) + -1 + 0) - (sqrt(176)*1*1 + sqrt(176) + sqrt(176)))**2.\nAnswer: -192*sqrt(11) + 16898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 1:06 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 12dbb (base 15) to base 11\nAnswer: 41489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.021 and -5.\nAnswer: 0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1162 + 399729\/344. Let y = 773\/344 + w. Calculate the common denominator of y and -87\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 1234*b + 140673. What is p(-114)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -594*g**2*l - 26*g**2 + 77*g*l + g - 8*l - 52 wrt g.\nAnswer: -1188*l - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/21 and 121\/332681850?\nAnswer: 2328772950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 5*u**3 + 10*u**2 + u + 13. Let s(y) = y**3 + y**2 - 2*y + 1. Let d(b) = f(b) - 6*s(b). Let n(x) = -3*x - 1. Let p be n(-2). Does 11 divide d(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 240 is divided by 66.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002314292 rounded to five dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5721879*q*t - 3883240*q wrt t?\nAnswer: -5721879*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1101110100100011101011001 - 100?\nAnswer: -1101110100100011101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1 and 46047.\nAnswer: -4604.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 (base 16) in base 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 963032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5871 and 1767.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d + 3*r + 27 = 0, d - 23 = 6*d + 2*r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -142789*b**6 - 2*b**5 + 1868481*b**2 wrt b?\nAnswer: -17134680*b**3 - 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5*((-3564)\/(-55))\/27.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -48 - 64 + 9*t + 1723*t**2 + 25 - 1722*t**2. Let k be r(6). Solve p = k*n - 4 + 9, 0 = -3*n + 3*p - 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8e2 (base 15) to base 16.\nAnswer: -7dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5357 is divided by 69.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 183 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153) + sqrt(153)*1 + 2 + sqrt(153) - sqrt(153))*-3)**2.\nAnswer: 216*sqrt(17) + 5544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 + 6 = -2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -7*a - h, -4*h = 0. Let n(j) be the second derivative of -1\/15*j**5 + 1\/30*j**6 - 1\/36*j**4 + 1\/9*j**3 + 0*j**2 + j + a. Factor n(i).\nAnswer: i*(i - 1)**2*(3*i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3, -65, -233, -561, -1103, -1913, -3045?\nAnswer: -4553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-10)\/4*112\/70. Let k(s) = 2*s**2 + 4*s - 5. Give k(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 3*o - 1 = -i, -2*i - o + 7 = 0. Suppose 4*u = m + 3*u, -m - 10 = 4*u. Let a(w) = w**3 - 13*w**2 + 14*w - 27. Let f be a(12). Sort m, i, f.\nAnswer: f, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 292040\/37 greater than or equal to 7892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 100\/(-700) - 22\/(-56).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = -2*j - 14, 5*j - 5*v = 2*j + 1. Let h be ((-12)\/j - 3)*1. Let f be (8 + -8)*h\/(-2). Which is smaller: 1\/6 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -2*h - 92. Let u = -40 - h. Suppose m + 0*m - u = 0. Calculate the greatest common factor of 16 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6851497375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2784351, 5568702, 8353055, 11137410?\n\"Answer: v**2 + 2784348*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 - 10071?\nAnswer: -10074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 3*w**3 + 12*w**2 + 26*w + 3. Calculate j(-4).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t**2 + 4315832*t + 2328300731528 = 0. What is t?\nAnswer: -1078958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 2*k**2\/11 + 1142*k\/11 - 553384\/11 = 0.\nAnswer: -884, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 21481210 rounded to the nearest one hundred thousand?\nAnswer: 21500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 116318 and 209?\nAnswer: 1279498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18256030, -18256028, -18256026, -18256024, -18256022?\nAnswer: -18256020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 71\/5 of a decade in years?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(-3)*2\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 221, 1195, 3053, 5987, 10189?\n\"Answer: 32*p**3 + 250*p**2 - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fffvvsvv. What is prob of picking 1 f and 3 v?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the second derivative of t**4\/12 + 3*t**3\/2 + 7*t**2\/2 + 4*t - 27. What is y(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33452, -33498, -33626, -33878, -34296?\nAnswer: -34922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 + 57154?\nAnswer: 57151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16*(5 + (-1029)\/168 + (-9)\/24)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 47.6 less than -35.3463?\nAnswer: -82.9463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1389 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -1\/73  (b) 841  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 35*d**2 - 4*d + 5. Let f be n(-2). What is the greatest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*h**2 - 5*h + 3*h**2 - h**2 + (10*h + 17*h + 5*h)*(-2*h + 7 - 8 - 7) to y*h**2 + t*h + c and give t.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s - j + 5, -j - 14 = 3*s + 6. Let c(t) = -16*t + 2. Is c(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*u + 16 = 2*h, -5*u - 3528 + 3450 = -h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 50\/36 - 1048\/1179\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 1\/4  (b) -2  (c) 127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 35422075?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-9182)\/(-15) - (-62)\/(-465). Solve -12 = -610*g + y*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1035300 by 58.\nAnswer: 17850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 122.\nAnswer: 3\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 - -105?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/12 and 15\/5807.\nAnswer: 69684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (6 - 5)\/(-4*(-1)\/48). Solve -18 - o = 6*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 139.31 times -0.4\nAnswer: -55.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + t - 2)*((2 - 1 + 0)*(-1 - 3 + 5) + 54 + 66 - 53)*(5 - 4 + 0).\nAnswer: 68*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 8268893503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 90 and 117.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 120720330?\nAnswer: 2, 3, 5, 23, 29, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n + p + 15 = 0, -5 - 4 = 3*n + 3*p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 22701314 to the power of 1\/2, to the nearest integer?\nAnswer: 4765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -13 in -4, -1.2, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*c - 69 = 13*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 + (16\/5)\/2. Let t = -3286 - -3287. Which is the closest to t?  (a) 15  (b) 2  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8304*k**2 - 11495*k**2 - 11144*k**2.\nAnswer: -30943*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 6 times 5\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the third derivative of 5\/3*l**3 - 71*l**2 - 1\/120*l**6 + 0 + 0*l + 0*l**4 - 1\/5*l**5. Determine t(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3, 0.1, -139 in descending order.\nAnswer: 0.1, 0, -3, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y = 6, 0 = 3*o - 8*y + 3*y - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.78267 take away 85901.4?\nAnswer: -85902.18267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 968 is divided by 154.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -104*i**2*v**3 - 4001*i**2*v - 11*i*v**3 wrt v.\nAnswer: -624*i**2*v - 66*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zhzzhhcshshsjz. What is prob of picking 3 z?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -18, -5, -29, -6 in ascending order.\nAnswer: -29, -18, -6, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - m = 1, -4*a + 3*m = -2*m + 6. Let t be (-11)\/(-4) - 12\/16. Let p be (t\/(-1))\/((-6)\/(-4)). Is p at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -165*g**3 + 2*g + 5936?\nAnswer: -495*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {c: 1, f: 4, r: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 4534468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21, -5, 0, -45 in decreasing order.\nAnswer: 0, -5, -21, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 2 a when three letters picked without replacement from {r: 1, y: 7, a: 2}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -3*z**3 - 12*z**2 - 9. Let n(q) = -q**3 - 6*q**2 - 4. Let p be -27*(-6)\/108*-6. Let w(a) = p*n(a) + 4*x(a). Suppose w(i) = 0. Calculate i.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-10 - 0\/(-2)) + 66347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the first derivative of 2*n**6\/39 - 22*n**5\/65 - 40*n**4\/13 - 194*n**3\/39 - 30*n**2\/13 - 172. Let p(z) = 0. Calculate z.\nAnswer: -3, -1, -1\/2, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 154*g - 3579 = 3*d + 35*g - 91*g, d - 2*g + 37 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hgh when three letters picked without replacement from wwhghggw?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/(-10) + 1084\/10. Let c = n - -18. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 75\/4 in 3, -0.1, 4.8, 2\/51?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (416\/(-40))\/(2\/(-5)). Suppose -2*c + k = -2*j + 2*c, 5*c - 61 = 4*j. Let u = j - -38. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*i**2\/5 + 59848*i\/5 - 1083744 = 0. Calculate i.\nAnswer: -15052, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -4*b - 348, -666 = -3*i + i + 2*b. Let c be (-4)\/(-14) + i\/28. Is 17 a factor of 796\/c - (-3)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*x**3 - x**3 + 2*x**3)*(x + 4*x + 14*x)*(38 + 15 - 12) in the form t*x + i*x**3 + o*x**4 + q + b*x**2 and give o.\nAnswer: 779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 3*f**2. Let c(t) = 1144 + 40*t - 568 - 560. Determine c(q(k)).\nAnswer: 120*k**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -3012132 (base 4) in base 16?\nAnswer: -319e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/593020 and -167\/71520?\nAnswer: 14232480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 376*d + 2633. Let w be j(-7). Solve p = 4 - w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 3*t**2 + 3 + t**3 + 3*t**2 + 2*t**2. Let g be b(-8). Suppose -5*x + g = -4*x. Solve x*y = -f + 4, f + 2*f + y - 4 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 392082885?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3277273*c**4 - 27*c**2 + 56248*c + 1 wrt c.\nAnswer: -78654552*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.04 + 0. Let z = l - 1.96. What is the biggest value in -4, 2\/3, z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 378 + 281 + 2*x**3 - 659.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j - 6 = -3*d, 4*j + 5*d - 8*d - 29 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1137, 52, 95 in increasing order.\nAnswer: 2, 52, 95, 1137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 10251551 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-38)\/(-3) + 58\/(-87). Differentiate -b - 11 + 0 + g*b + 21*b with respect to b.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(4)\/sqrt(2) + 0 - ((3*sqrt(200))**2 + sqrt(2)).\nAnswer: -1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 + -2074?\nAnswer: -2076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77) + -1*sqrt(77) + sqrt(77))\/sqrt(11) + (sqrt(847) - (0 + sqrt(847))) + sqrt(7) - (sqrt(7) + sqrt(567)*-2 + (sqrt(112) + -2)**2).\nAnswer: -116 + 35*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 + 758.574?\nAnswer: 758.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 724686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 3*d = -3*z + 6, 3*z = -3*d + 3. Let b be (-5)\/4*(-5 - z). Solve -9 = t + 4*u, -5*u - b = 2*t - t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 3*d**2 - 22*d - 84. What is the hundreds digit of x(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1016 and 5320?\nAnswer: 675640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = 5*v + 2*m - 2, -v - 2*m = 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-118 - -77) + (-531)\/(-9)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1309795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41 = 29*t + 104 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the first derivative of d**3\/12 + 11*d**2\/8 + 9*d\/2 + 75. Factor v(z).\nAnswer: (z + 2)*(z + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 6, i: 3, v: 4}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -10*g - 3. Suppose 10*x = 3*x - 49. What is the remainder when h(x) is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 913*w - 2747. What is i(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 - 6*u**2 + u. Let r = 3 - 6. Let v be q(r). Let f be (8\/v)\/(162\/(-15)). Which is greater: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-100)\/(-16) + 39\/52. Which is the nearest to -0.1?  (a) w  (b) -2  (c) 0.4  (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1382575, 1382540, 1382503, 1382464, 1382423, 1382380, 1382335?\nAnswer: 1382288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 8) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 27 - 33. Let b(v) = 20*v - 97. Let r be b(5). What is the fourth smallest value in r, u, 0.4, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1130.9 - -519.9. What is the second biggest value in m, -1\/2, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes before 3:35 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (((-264)\/(-32))\/11)\/((-21)\/(-8))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -4*l + 10. Let s be v(-11). Let c be (-10)\/(-15) + (-240)\/9. Let d = c + 44. Calculate the highest common factor of s and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 472?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -3 + 3*(sqrt(13) + (-4 + sqrt(13) - sqrt(13)))*-4.\nAnswer: -12*sqrt(13) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 31 and 1829?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -24 divided by 69\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 - -10*10\/25. Solve m - 5*r = 10, -2*m - 6 = r + i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 3454079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -154*r + 152*r + 969194 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (22\/11*(-2)\/12)\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82*r - 73 = 54*r + 39. Solve r*q + 40 = 4*i, 19*q = 22*q + i + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 40528796 and 222992.\nAnswer: 162115184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0, 45494 in ascending order.\nAnswer: 0, 5, 45494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 - 3\/3*-3. Suppose 0 = -5*t - g + 8, -4 = -4*t - 5*g + 3*g. Factor -2*o**w + 2*o + 6*o**2 + 1 - o**t - 2*o**2.\nAnswer: (o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.5 and -39642943557325.\nAnswer: -39642943557325.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 313*v + 13249. What is l(-42)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/164100 and 46\/75.\nAnswer: 164100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/4*(8 - (-4 - -34)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.03703685 and -0.0739?\nAnswer: 0.11093685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 18 - -119. Let p = 280 - t. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4727219 to the power of 1\/3, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -68, -15, 140, 397?\nAnswer: 756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, d: 1, s: 2, w: 2}. Give prob of sequence dsw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 597992465 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 + 4076888*i. Let j(x) = 2*x. Calculate j(v(k)).\nAnswer: -2*k**2 + 8153776*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqs when three letters picked without replacement from {s: 4, t: 3, q: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10 + 22 + -13)*(-22 + 9\/3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10, -6, -2, 2, 6, 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 302435 is divided by 186?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -4 - 2. Let h(q) = -q**2 + 4*q. Suppose 9 = 2*z + 1. Let j be h(z). Solve -w + d*w = j for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -713 + 716. Let l(t) = -t**x - 2 + 0 - 3*t - t**2 - t**3 + t - t**2. Determine l(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m*(m\/(m**(2\/7)*m*m))\/m*m*m*m))**(2\/95))**(-12) assuming m is positive.\nAnswer: m**(24\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1\/53238 - 878287\/7453320. What is the common denominator of y and 1 - (-2 - 70\/(-72))?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.166 or 5.09336?\nAnswer: 5.09336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cctw. What is prob of picking 1 c and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 126 + -44 + 53 + -16\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -5*x**2. Let t be 12\/(3 - (-1)\/(8\/(-18))). Let b(u) = 3*u**2 - t*u + 16*u + 4*u**2. What is s(b(m))?\nAnswer: -245*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*j**5 - 2*j**3 + 2*j**3 + (2*j**3 - j**3 + 2*j**3)*(-763*j**2 + 11923930*j - 11923930*j).\nAnswer: -2287*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/462 and -8\/1147413.\nAnswer: 176701602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**2 - 15*v. Give p(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -123*x**3 - 32*x**2 + 3*x?\nAnswer: -738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in seventeen quarters of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 2*z - 3*z = -62, -3*p - 5*z + 192 = 0. Let h(b) = 4*b. Let n be h(9). Let o = p - n. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1016 + -1)*(6\/24)\/(5049\/204 - 27)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 3*o**2 + 1476*o + 24232. Determine y(-17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-4)*(2 - 0). Suppose u - 4 + q = 0. Is 4 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 5\/6 of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -356905*d**4 - 3*d**2 - 846224*d.\nAnswer: -4282860*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2 + ((-570)\/(-46) - 5). Let q = n - 18427\/1656. What is the common denominator of q and 79\/4?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*b - 2*b + 5*b + 3*b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 6400, 12793, 19186, 25579, 31972, 38365?\n\"Answer: 6393*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-143)\/(-44))\/((-1)\/(-52)) is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 740461187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*l + 25 = -4*l. Suppose -3*n - 15672 = -15*n. Suppose 5*k + 2765 = l*c, -4*k - n + 208 = -2*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*d + 52 - 124 = 0. Let s be 6 - (-80)\/d - (-2)\/1. Solve s*m + 1 = 27*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10346278 (base 9) to base 8\nAnswer: -23023767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 - 15 = -4*r. Suppose r = -t + 30. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9844745957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-205 + 27 - 92 - 53)*(4*l - 2*l - 3*l).\nAnswer: 323*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3277 * -1.9.\nAnswer: -0.62263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -159, 107, 819, 2199, 4469, 7851?\n\"Answer: 37*a**3 + a**2 + 4*a - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*x - 609 - 279. What is the third derivative of 4*u**5 + x*u**2 + 23793*u - 23793*u - 6*u**3 wrt u?\nAnswer: 240*u**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 133967205.\nAnswer: 3, 5, 2977049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22229066 is divided by 3978?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}