{"text":"Question: What is the second biggest value in -884, 0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 209040217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2117862 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -18715, -37439, -56147, -74839, -93515, -112175?\n\"Answer: 8*o**2 - 18748*o + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Is 7019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add -14503.5 and -22.\nAnswer: -14525.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 777?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*a = 27*a - 129897. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 14 = 3*l, -2*a - 16 = -6*a + 4*l. Suppose -6*z - 4*k = -3*z + 3, 0 = -a*z - 2*k. What is the first derivative of d**3 - z*d**3 - 5 + 4 wrt d?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -288 - -315. Calculate the remainder when 73 is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 6\/11  (b) 4\/7  (c) 0.426  (d) -3\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the second derivative of b**3\/3 - 9*b**2 + 21*b + 2. Let c be v(8). Put -5, 5, 4, c in increasing order.\nAnswer: -5, c, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.1534001 to 1 decimal place.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4*3\/(-1)*(-7 + -1). What is the lowest common multiple of 74 and ((-1)\/2)\/((-6)\/j)?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 47 = -3*w, -2*w - 13 = -4*r + 23. Let o(z) = 3*z - 17. Let d be o(r). Calculate the common denominator of -63\/4 and 6\/d - 7\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.133?  (a) -0.1  (b) -3  (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -915 (base 11) to base 6.\nAnswer: -5041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the third derivative of -g**8\/84 + g**4\/6 + 16*g**2. What is the second derivative of p(m) wrt m?\nAnswer: -80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.0668 and -2.85.\nAnswer: -2.7832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 358291947?\nAnswer: 3, 13, 67, 137119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 98127 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432) + (-1*sqrt(432) - sqrt(432))*-6 + 2 + sqrt(432) + -1 + sqrt(432) + (sqrt(432) + (sqrt(432) - (sqrt(432) - (1*sqrt(432) + 0))))*-1)**2.\nAnswer: 312*sqrt(3) + 73009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3150 - -3153. Let u = -0.2 - -0.2. Put u, l, -7 in increasing order.\nAnswer: -7, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l*l*l**(-3\/4)))\/(l*l\/(l*l**(-2\/3)))*(l\/(l*l**0)*l)\/(l**(-2\/7)*l) assuming l is positive.\nAnswer: l**(-137\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -646.98 + 625. Let p = -20.08 - 1.92. Let t = p - w. What is t rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-16)\/10)\/(4\/(-30)). Let s(z) = 1 - 2*z + 5 - 2*z + 7*z. Let f be s(0). Calculate the greatest common divisor of f and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*v**3 - 27*v**3 + 52*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -2\/9*b - 2\/9 + 2\/9*b**2 + 2\/9*b**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 147*d**3 - 146*d**3 + 3 + 10*d + 28*d**4 + 23*d**4 - 79*d**4 + 26*d**4 - d**2 in the form c*d**3 + p*d**4 + t*d**2 + y + h*d and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 95392133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 - 7. Let q(b) = -13*b + 2. Let i be q(c). Calculate the greatest common factor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/(-5) - (-33)\/15. Suppose -s*m + 3*m = 0. Let f = 35 - 40. Which is the closest to m?  (a) 3  (b) 1  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18 + 14 - 3 - (3 + 2 + -8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1461034540?\nAnswer: 2, 5, 7, 37, 282053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3550024 to the power of 1\/3, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-710 - 156*n**2 + 710)*(-n - 5*n - 3*n)*(6*n - 3*n - n) in the form j*n + v*n**4 + z*n**2 + q*n**3 + i and give v.\nAnswer: 2808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 22*f - 11 + 33 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 631*z - 296*z - 113*z - 112*z - 113*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are 2 and 14.895718 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/(-1785))\/(914\/(-7769)).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 137048887 and -5583.8.\nAnswer: 137043303.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -2*y**2. Let x(z) = 3529 + 71*z**2 - 3529. Determine g(x(u)).\nAnswer: -10082*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 77839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 51 + -3. Calculate the highest common divisor of i and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 38808 - 38808.5. Let x be 2\/(-11) + -1 - -1. Let h = 0.1 - 0.4. Which is the closest to -2?  (a) h  (b) q  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5\/3  (b) 2  (c) 0  (d) -2\/11  (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 822676289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 - 28 = -2*n + 3*r, -5*n + 90 = 2*r. Let k(m) = m - 8. Let l be k(6). Let z = l + n. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 4395*t. Let m(u) = u**2. What is m(i(l))?\nAnswer: 19316025*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5 - (5 + -3) - -36. Suppose 4*z - 7*z + c = 0. Let g = -2588 - -2731. What is the greatest common factor of g and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -8*z + 14 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g**2 - 2*g**2 + 6*g**2 - 4*g**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the second derivative of -1\/5*j**5 + 0 + 3\/2*j**2 - 1\/30*j**6 + 2\/3*j**3 - 1\/6*j**4 - 4*j. Solve o(m) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3a6a75 (base 11) to base 2.\nAnswer: -10011011111101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**2 + 44*c - 56. Let a be d(43). Sort 2, -11, -2, a in ascending order.\nAnswer: a, -11, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.5 + 2.6. Which is the nearest to p?  (a) -5  (b) -4  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 26 and 546?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -225*d**2 - 23*d**3 + 225*d**2 + (3*d**2 + 10*d**2 - 12*d**2)*(17*d - 309 + 309) in the form v + c*d**3 + a*d + w*d**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*c + 5*c - 14*c + 3*c + 6*c.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b**2\/4 + 1739922*b + 3027328566084 = 0. Calculate b.\nAnswer: -3479844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 82270847 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: What is the tenth root of 629846 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -92 - -92. Solve -2*w - x = -q*w - 5, 4*x - 5 = -5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 35?  (a) -74  (b) -0.4  (c) 3  (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*r - 415 + 1489. What are the prime factors of r?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.1  (b) 2\/11  (c) -4  (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -1  (b) -6\/7  (c) 0  (d) 487  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 14978 - 14978. Which is greater: m or 452.1?\nAnswer: 452.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14942 + 3276 = -614*s for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.8 - -14.2. Let z = i + -17. Which is the closest to -2\/9?  (a) 3\/10  (b) 2\/7  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17012 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 4*h + 2705 = -0*k, -h = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(28)\/sqrt(2)*-5)\/((-2*sqrt(70))\/sqrt(10)).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i + 5*v + 73, 0 = -4*i - 3*v - 7 + 192. Suppose -l + 3*l = i. Calculate the remainder when l is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-7) - 148\/(-28). Suppose 2*f - b = -1. Calculate the lowest common multiple of 18 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, 5\/83, -31?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**2 + 10*k + 11. Suppose -2*w - 5 = -g, 5*w + 38 = 4*g + 3*w. Calculate v(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 24 + (2 - (3 + 0)). Let p(u) = -23 - 22*u - 32 + c - u**2 - 32. List the prime factors of p(-12).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 2*i. Let g(p) = -58*p + 87. Let o(m) = -1. Suppose -3*d = -3*j + 12, -j = -4*d - 2 - 11. Let b(x) = j*g(x) + 87*o(x). Give b(c(s)).\nAnswer: -116*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*v + 30*v = 30989. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -6*o**3 - 4*o + 5. Let w(m) = 3*m**3 + 2*m - 2. Let a = -278 - -280. What is a*d(b) + 5*w(b)?\nAnswer: 3*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(5 + -6*-5*((sqrt(700) + 1)**2 + sqrt(700) + sqrt(700)) + (2 + 3*sqrt(700) + sqrt(700))**2 + (sqrt(700)*1*3 + sqrt(700))**2).\nAnswer: -260634 - 8160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17860804 is divided by 1582.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -3*m**3 - 9*m**2 - 15*m - 2. Let h(y) be the first derivative of y**4\/4 - y + 8. Let d(g) = c(g) + 4*h(g). Is d(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -0.2, -0.1, 5, -170, 3, 1168?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1674434 is divided by 239191?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 1 + 13 + (26 - (24 - 14 - 0)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -l - 2*r, -5*l + 81 = -2*r + 44. Solve 0 = j - l + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 76, 48, -146, -596, -1392, -2624, -4382, -6756?\nAnswer: -9836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.056372995 - -0.49.\nAnswer: 0.433627005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 762401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 684 - 678. Let o(i) = -i**2 + 3*i + 17. What is o(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001176386 rounded to five decimal places?\nAnswer: -0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/3*5 - 1. Let w = 52 + -52.3. Which is the third biggest value?  (a) d  (b) w  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73 = -i - 25*a, -2 = 149*i - 147*i + 2*a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0, -1\/44069, 6, 1\/5?\nAnswer: -1\/44069","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve y - 131 = 17*w + 73, 0 = -7*y - 5*w - 60 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -23 greater than -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 462\/39 + 1 + (-6)\/(-39). Solve 4*w - 7 = m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 + 4*s**2 - 31*s + 8. Let k be o(4). Factor k*m**2 + 0 - 3\/2*m.\nAnswer: 3*m*(8*m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:25 AM and 7:20 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3076354607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4781 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.89 - 19.69. Let m = i + 3.8. Let r = m + 19. Which is the closest to -3?  (a) r  (b) -0.1  (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1026\/456*(-2)\/(-27).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 5, k: 11, a: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2, 41, 106, 197, 314?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 11675484 divided by 11675484\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 2\/17*d - 4\/17*d**2 + 2\/17*d**3.\nAnswer: 2*d*(d - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -201.9 - -201.4. What is the third biggest value in 0.059, -3\/8, s, 0.2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 4*d**3 + 7*d**2 + 4*d - 1. What is j(-4)?\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 486 and 243?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8 and 46.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**2 - 12*y - 2. Let b(c) = 4*c**2 - 42*c - 7. Let u(j) = -4*b(j) + 14*k(j). Let i(v) = -53*v + 9. Calculate u(i(r)).\nAnswer: -5618*r**2 + 1908*r - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**2 - 20*u - 9. List the prime factors of k(-17).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1400 = -5*o - 4*u + 1423, -5*o = 2*u - 19 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**2 + 14*d - 3. Let o be p(12). Suppose 3*z + 1 = -i + 8*z, 5*z = -4*i + o. Solve -3*g - g + 5*r = -17, -i*g + 3*r = -15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2016467 and 597.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**2 + 2*m + 23. Let q be a(10). Suppose -x - 137 = -q. Solve -5*n - t + 35 = -x*t, 0 = -n + 4*t + 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00024568 to six dps.\nAnswer: 0.000246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27735 is divided by 13863.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 4748587, 4748583, 4748579, 4748575, 4748571?\n\"Answer: -4*l + 4748591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3516 - -3517. What is the closest to 2\/9 in f, -2\/11, 3, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.124 from -997088897893.\nAnswer: -997088897892.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 68 - 68. Solve 3*o + 5*k - 10 = i, 2*o - 35 = 4*o - 5*k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + i + 0*i = 0. Suppose 0 = -2*b - 2*b. Solve k + 15 = -i*v + 3*v, b = -5*k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -31*x**2 - 7*x - 2. Let l(r) = 15*r**2 + 3*r + 1. Let b(c) = -3*j(c) - 7*l(c). Differentiate b(y) with respect to y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -42970 smaller than -43035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) -1\/3  (c) -8\/1149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14067073 divided by -158057.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:37 AM and 10:05 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 0*l - l + 9)*(20*l - 109 + 109) - l**2 + 3*l**2 + 0*l**2 + (3*l - 4*l + 2*l)*(-5*l + 2*l + l) to a*l + d + b*l**2 and give a.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - 2) + (23 - (7 + -7 + 13))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 2)\/((-14)\/1) - 14380\/(-80528)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes before 8:08 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12242, -24480, -36718, -48956, -61194, -73432?\nAnswer: -85670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:50 PM and 11:05 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00020826 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**2 + 1. Let y(g) = g**2 + 5*g + 3. Let h be y(-5). Let t(k) = -2*k**2 + k. Let l(u) = h*r(u) - 2*t(u). Determine l(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v**2 + 2*v**5 - v**2 + 2*v**5 + 5*v**5 - 5*v**5 + (-3*v**3 - v**3 + 2*v**3)*(0 + 0 - 2*v**2))*(0 + 1 - 3 + (-2 + 1 + 0)*(6 - 1 - 4)).\nAnswer: -24*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 9*g + 10. Let w(t) = 26*t + 48. Determine 11*v(b) - 4*w(b).\nAnswer: -5*b - 82","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Add 4399.89838 and -184.\nAnswer: 4215.89838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5832 and 20?\nAnswer: 29160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 21832 to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add together -7831621071 and 3.\nAnswer: -7831621068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 + 13*c**2 - 17*c - 40. Let i be j(-14). Solve -5*y - 6 = -4*p, 3*p - i = 5*y - 0*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -280*r = 271*r - 562*r + 528. Suppose 0 = 6*a - 4*a, -2*h + 48 = -2*a. Suppose h = x + 3*x. Calculate the least common multiple of x and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.6 and -6.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/7)\/((-47)\/7 + -1).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.56983658 rounded to 4 dps?\nAnswer: -0.5698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -563715 times 33\nAnswer: -18602595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 2*k - 65 = -0*a, 26 = 2*a + 2*k. Suppose -10*t + a = -37. What is the remainder when (-8)\/6*(1 + -10) is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*s + 8*s + 15. Suppose s*t + 4*x + 8 = -0*t, -4*x = 4*t + 8. Which is smaller: -7\/9 or t?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 391524, 783141, 1174758, 1566375, 1957992, 2349609?\n\"Answer: 391617*u - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -2*sqrt(180)*5 + 5)**2 - ((sqrt(245) + (((sqrt(245) + -2)*6)**2 - sqrt(245)) - sqrt(245) - sqrt(245)) + (sqrt(245) - (sqrt(245) + 2))*-1).\nAnswer: 542*sqrt(5) + 9050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 3*j - 140 = -5*s, 3*s = j + 84. Suppose 4*m = -2*u + s, 2*m - 86 = -u - 4*u. Calculate the remainder when u is divided by ((-20)\/55)\/(1\/(-11)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7167820717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 4) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 33\/20 and 61\/(-6) + 27\/36 + 2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*r**3 - 1320*r**2 + 417*r**2 + 462*r**2 - 5*r**3 + 441*r**2.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -t**5 + 744*t**4 - 144172*t**3 + 2140320*t**2 - 3709888*t = 0. What is t?\nAnswer: 0, 2, 14, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the first derivative of -o**5\/80 + 3*o**4\/16 - 9*o**3\/8 + 3*o**2\/2 + 9. Let g(d) be the second derivative of i(d). Factor g(k).\nAnswer: -3*(k - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -140968 (base 11) in base 9?\nAnswer: -365758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-1\/2)\/d**(-4)*d\/(((d*d**(-2\/33))\/d)\/d)*d**(-6\/13))**(12\/7))**(-3\/11) assuming d is positive.\nAnswer: d**(-3750\/1573)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = 5*i - 315, -3 - 41 = -i - 4*h. Suppose -2*v = -167 - 153. Calculate the highest common factor of v and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, 1, -58, 18, 5 in decreasing order.\nAnswer: 18, 5, 1, -19, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -4*c + 8. Suppose -4*m + 4*t - 14 = -c*m, t - 86 = -4*m. Calculate the remainder when 54 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 73 - -66. Is c 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 583251334?\nAnswer: 2, 17, 617, 27803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 822179949*p**3 + 3*p**2 - 95302461?\nAnswer: 4933079694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20 + 14. Let g be ((-27)\/(-12))\/(k\/(-16)). Let z(t) = -2*t + 7. Let n be z(g). Do -6 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 times 8.2056?\nAnswer: 155.9064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -3*z**3 - 65*z**2 + 268*z - 235. What is the ten thousands digit of u(-32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 * -4\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*s**2 + 3*s**2 - s**2)*(3 + 4 - 5)*(167 - 279 - 294) + (-4*s + 2*s + 3*s)*(4*s + 0*s - 3*s).\nAnswer: 813*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -0.4, 2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(0 + (sqrt(1134) - (sqrt(1134)*-2*5 + sqrt(1134) + sqrt(1134)))\/((sqrt(24)\/sqrt(3))\/sqrt(4) + (sqrt(2) - -1*sqrt(200))) + -5).\nAnswer: -30 + 81*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-21)\/(-3) + -4 + -1. Suppose l*w = 890 - 304. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -4011\/5, 6600 in descending order.\nAnswer: 6600, -0.2, -4011\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 431*i - 422*i - 63 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 3*w + 12 = 0, -3*w = -5*p + 18 + 12. Suppose 17*k = p*v + 14*k - 3, -k = 1. Factor 2\/9*h**4 + v*h**3 + 0 - 2\/9*h**2 + 0*h.\nAnswer: 2*h**2*(h - 1)*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 2*m - 0*m, -4*j + 9 = m. Let z = -49.6 + 14.9. Let g = -35 - z. Which is the third smallest value?  (a) 5  (b) j  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -114, -91, -58, -21, 14, 41, 54?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 440124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (156\/(-40))\/((18675\/(-3000))\/83)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ellukeeluzekcku. What is prob of sequence euuz?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the second derivative of k**6\/20 + 9*k**5\/20 - 6*k**4 + 37*k**3\/2 - 99*k**2\/4 + 587*k. Find d such that l(d) = 0.\nAnswer: -11, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 18  (b) 5  (c) 0.05743  (d) -45\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.03  (b) 3  (c) -0.01  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 19 and 331.\nAnswer: 6289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -580*a**3 + 523*a**2*n - 2*a*n + 678096*a + n - 2 wrt a.\nAnswer: -3480*a + 1046*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*6792.\nAnswer: 2037.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16488 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -27 + (9 + -3 - 1) - -8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 32050 (base 10) in base 15?\nAnswer: 976a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 44483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*l**2 + 2 + l**3 + 4726*l + 64*l**2 + 34*l**2.\nAnswer: l**3 + 135*l**2 + 4726*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1396701, -2793402, -4190093, -5586768, -6983421, -8380046, -9776637, -11173188?\nAnswer: -12569693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ooocooeeeeoecrooee. Give prob of sequence coro.\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 78.11991km?\nAnswer: 78119910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8713 is divided by 458?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -12*q - 28. What is s(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 470, 473, 476, 479, 482, 485?\nAnswer: 488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 + 10*r**2 - 2*r + 12. Let y be u(8). Suppose 2*m - y = -5*w + 8, -3*w = -5*m + 392. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 10\/3 of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/21 - (-145)\/7. Let y be -50 + h + 2\/((-4)\/(-6)). Let j = y + 24. Let q(l) = l**3 + 2*l**2 - 3*l - 1. Give q(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -11995*i**3*l**3 + 16*i**3*l + 2157832*l**3 wrt i.\nAnswer: -35985*i**2*l**3 + 48*i**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 3564a1 (base 14) to base 10\nAnswer: 1822941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -74358*f - 15243405. What is z(-205)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (511*q - 364 + 364)*(3 + 0 - 2)*(0*q**2 - 2*q**2 + q**2) as i*q**2 + d + n*q**3 + v*q and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -p - 806. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 134031101 + 2?\nAnswer: 134031103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(500)*-6 + (-2*sqrt(240))\/sqrt(12) + sqrt(20))\/((sqrt(400) - -1*sqrt(400))*2)*5.\nAnswer: -31*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 240 - 209. Let y(m) = j*m + 28*m - 53*m. Let h(b) = -3*b. Give y(h(z)).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8960305 is divided by 1547.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/6)\/(154\/(-147))*8\/28?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*n - 10 - 9*n - n**3 + 8 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-15)\/(v\/((v\/(v\/(v*v**(-1\/12))))\/v)) assuming v is positive.\nAnswer: v**(-193\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -64\/19  (b) -1\/5  (c) 5  (d) -7\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -35370692*m*n**2*t - 13811712*m*n**2 + 2*n**2 wrt t?\nAnswer: -35370692*m*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20990*w**2 - 5144*w**2 + 14558*w**2.\nAnswer: 30404*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/(-45) + 174\/45. Is 63 - (-1)\/(3 + (-11)\/s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h - 2*h**3 + h + (0 - 2 + 0)*(2*h**3 - 4*h + 4*h) - 2*h**3 - h**3 - 2*h**3.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Total of 27584 and -3531.4331.\nAnswer: 24052.5669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2 - -3*2)\/(14\/147). Let i = l - 37. Solve 4 = 2*w, i*t - 3*w - 6 = -6*w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 - 30*l + 729*l**2 - 665*l**2 + 5*l**3 - 53*l - 16 = 0.\nAnswer: -14, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 629, 628, 627, 626, 625?\n\"Answer: -k + 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 3, -0.2, -31 in decreasing order.\nAnswer: 3, -0.2, -2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p + 656 = r + 651, -5*r = -5*p - 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -824244 + 2?\nAnswer: -824242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of 32988154.81 and -7.\nAnswer: 32988147.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m = o - 27, -13*m + 214 - 113 = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = -3*w + 608. Let p = 23 + w. Suppose 0*b + p = b. Calculate the highest common divisor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1417 rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 46 and 874.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 206000 is divided by 49.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 580 - 578. Let u(s) = 2*s**2 - 7*s + 6. Give u(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32749308.\nAnswer: 2, 3, 163, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 147 - 84. Let g be (-1 - -3) + i + -5. What is the highest common divisor of 300 and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/3  (b) -0.04  (c) 1.1  (d) 3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-20 + 20 + 12*n)*(5 - 5 - n) to u*n + j*n**2 + i and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 2  (c) -0.3  (d) 168\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 11*u**2. Let d(q) = 1206 - 4*q**2 - 1206. Calculate v(d(z)).\nAnswer: 176*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 105*t**2 - 182*t - 8. Is c(39) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 905088 divided by 14142?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.96008 grams to nanograms.\nAnswer: 9960080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8335831923 to the nearest integer?\nAnswer: 91301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25 + 42 - 28) + -13 + (-1 - 11)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a - 2*a - 3*a**2)*(a**3 - 14*a**3 - a**3) + 2*a**5 + 6*a**5 - 4*a**5 + (-2 + 2 - a**4)*(3*a + 0*a - 2*a).\nAnswer: 45*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 181403, 362804, 544205?\n\"Answer: 181401*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**3 - 105*z**2 + 315*z + 425.\nAnswer: 5*(z - 17)*(z - 5)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 420 by 14.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the first derivative of 9*v**4\/2 + 8*v**2 - 4. What is the second derivative of w(n) wrt n?\nAnswer: 108*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 - -21. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1006 - -3?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3\/5  (b) -3  (c) 3\/14  (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.2 in -3, -0.06, -4\/9?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 4278, 8260, 11676, 14244, 15682, 15708, 14040, 10396?\n\"Answer: -47*g**3 - g**2 + 4314*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 204*d - 204*d - 2*d**2 - 8 in the form l*d + u*d**2 + m and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2421.535 micrograms in nanograms?\nAnswer: 2421535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -3\/22, -2\/15.\nAnswer: -4, -3\/22, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 8512 = -2*b, 2115 + 13 = s + 2*b. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -g + 3*d, 838 - 823 = -5*g + 5*d. Sort -36, g, 4, 1.\nAnswer: -36, g, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 - 9*t**2 + 8*t. Let f be p(8). Which is the closest to f?  (a) 4  (b) -3  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 5*j**2. Let p(b) = 7*b**2 + 9*b - 4. Let a be p(-2). Let i(z) be the third derivative of 0*z**3 + 0*z - a*z**2 + 0 - 1\/2*z**4. Calculate i(y(c)).\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5, 11, 7, -7811 in decreasing order.\nAnswer: 11, 7, 5, 4, -7811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2471519*u**2 - 2475890*u**2 + 0*u + 3*u to the form a + j*u**2 + z*u and give j.\nAnswer: -4371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (15\/(-15))\/(2\/(-138)). Suppose -x = -7*s - 20. Solve -s*l = -3 - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*m**3\/5 + 268*m**2\/5 + 1046*m\/5 + 156 = 0. Calculate m.\nAnswer: -130, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from thhg. What is prob of picking 2 h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 7*m**2 - 5*m. What is the units digit of s(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**2 - 8*p - 15. Let b be s(-5). Let c be (-3)\/3*(-1 + 1). Suppose 4*h - 2*h + 2 = c. Is h at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g\/((g*g*g**(-5)*g)\/g)*g*g\/((g**(-2\/7)*g*g)\/g))\/(g*g**(2\/7))**(-28) assuming g is positive.\nAnswer: g**(296\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 9867, -0.4, 0.4 in increasing order.\nAnswer: -0.4, 0.4, 9867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 30 and 1263324.\nAnswer: 6316620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 6, u: 13}. Give prob of sequence uubb.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 100 divide 13095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -7*g - 12. Let z(l) = 31*l + 2. List the prime factors of z(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes after 7:11 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -182.116, 0.2, -3 in descending order.\nAnswer: 0.2, -3, -182.116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -104286, -104287, -104288?\n\"Answer: -z - 104285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/(b*b**(-26)\/b))\/(b*((b*b*b\/(b\/(b*(b**18*b)\/b))*b)\/b)\/b))\/((b\/(b\/b**10))\/b)**(-14))**(-17) assuming b is positive.\nAnswer: b**(-2244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**(1\/2)*r)**(1\/3)*((r**(3\/5)\/r)\/r)\/(r*r*r*r**(1\/8)\/r))\/((r*(r**(-1\/4)\/r)\/r*r)**(-37\/5))**(10\/9) assuming r is positive.\nAnswer: r**(-1829\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 = -657*k + 648*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13208.6308 - -13211. Let k = 0.5231 + t. Let p = -2.9 + k. What is p rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 3*z**2 + 26*z - 13. Let u be s(-9). Let x = u - -5. Which is smaller: x or 2\/69?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -653 - 17*g**3 + 653.\nAnswer: -17*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**2 - 5*t + 4. Let j be c(-7). Let i = j + 15. Solve 20*r**3 + 25*r**4 - 11*r - 20*r + 6*r - 10*r**2 - 10 + i*r**5 - 5*r**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 269596?\nAnswer: 2, 67399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k - 5 - 1. What is the tens digit of (1 + 29)*(-2)\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 30\/(-9)*(-36)\/15. Suppose -o = 2*w - 4*w. Suppose h + 5*q = -3*h + 103, -5*q - 113 = -w*h. Calculate the greatest common factor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 3\/8 of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u - 11*u - 5*m = 5, -21 = 3*u - 3*m. Let f(r) = r + 2. Let o(q) = 26*q - 6. Let j(p) = 5*f(p) - o(p). Let k(g) = 4*g - 3. Determine u*j(s) - 22*k(s).\nAnswer: -4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 70152 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 99570 by -99570.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qpmz when four letters picked without replacement from {g: 11, q: 1, p: 1, m: 3, z: 1, r: 3}?\nAnswer: 1\/38760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 337\/126 + -89\/9. Calculate the common denominator of j and (-66)\/9*18\/(-56).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -5*i - 2. Let h(u) = -24*u - 11. Let f(j) = 22*c(j) - 4*h(j). Let d(q) = q. Let g = -2 - -1. Suppose -30 = 5*b + 30. Give b*d(l) + g*f(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -27 + 82 + -216 + 119?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1)\/11)\/((-48)\/176)*1. Let n(z) = -2*z - 2. Let a be n(-2). Factor -q*k**a - 2\/3 + k.\nAnswer: -(k - 2)*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -1\/7, -1143188 in increasing order.\nAnswer: -1143188, -1\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 - 2)*(0 - 5 - 2)*(3*c - 2*c - 2*c).\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 64\/48*(-78)\/(-4). Let w(d) = -d**3 + 7*d**2 + 9*d + 18. Let r be w(8). Let h = z - r. Let b(x) = x**3 - 7. Determine b(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the first derivative of -2*n**3\/3 + 126*n + 11252. Let p(b) = -3*b + b - b + 4*b. Give r(p(y)).\nAnswer: -2*y**2 + 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1257251 * 106\nAnswer: -133268606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -6999856\/107 not equal to -65419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 324847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 40 + -51 + (4 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1607, 4776, 9507, 15800, 23655, 33072?\nAnswer: 44051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 591 is divided by 212?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -6085071, -12170138, -18255205, -24340272?\n\"Answer: -6085067*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/33*1134\/378?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/119154 and 11\/13906974?\nAnswer: 97348818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*l + 13*l + 9*l - 73*l + 27*l + 7*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 - 2 = -2*h. Let r(p) = -9*p**3 - 17*p**2 - 6*p - 1. Let y(n) = -6*n**3 - 11*n**2 - 4*n - 1. Let l(o) = -5*r(o) + 8*y(o). Is l(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10 and 192231675.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19094 + 15016 = 15*h. Is h a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (27 + -14 - 28) + -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2236250933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6207 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**3 + 22*p**2 + 15*p - 30. What are the prime factors of b(-21)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -26239 + -9621?\nAnswer: -3385a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes after 7:04 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -a - 5, -28 = -3*g - a. Let s(z) = -4*z**3 + 2*z**2 + 4*z + 9. Let k(f) = 2*f**3 - f**2 - 2*f - 4. Give g*k(h) + 4*s(h).\nAnswer: 2*h**3 - h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3\/7*o**3 - 1515\/7*o - 129\/7*o**2 - 3975\/7.\nAnswer: 3*(o - 53)*(o + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**2 + 44*j + 162. Let v be y(-40). Let h(a) = -33*a**3 - 6*a**2 - 2*a + 2. Let w be h(v). Is w > -290?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 374509918?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 41135 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*b + 5*b = 30816. Let r be 2\/5 + b\/(-10). Let s = r - 247. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8355 and 1020.\nAnswer: 568140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1084803?\nAnswer: 3, 29, 37, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.3 + 0.2. Let t = 61\/100 + -1\/100. What is the closest to 1 in x, -3\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n - 2*n**2 + n)*(3370*n + 3 - 3370*n - 23*n**2).\nAnswer: 46*n**4 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0622826 years to millennia.\nAnswer: 0.0000622826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(1176) + sqrt(24))\/(sqrt(60)\/sqrt(5)*-3 + sqrt(12)) + -2.\nAnswer: -4*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -308*n**2 - 158*n.\nAnswer: -616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 27.6 - 28. Which is the nearest to -2?  (a) 4\/7  (b) -12\/5  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -1187*k - 2996. Is s(-12) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2*q + 1. Suppose -2*k = -5*k + 24. Let p be -10 - -8 - k\/(-2). Suppose -p*b = 3*b - 20. Determine v(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - 1 - (3 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -45.02 - -0.0887033.\nAnswer: -44.9312967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((6\/9*(-18)\/(-8))\/((-1281)\/1708))\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -38?  (a) 0.11  (b) -0.4  (c) -4\/9  (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -2*n**2. Let i(r) = 13*r - 13. Let a(d) = -13*d + 14. Let u(x) = -6*a(x) - 7*i(x). Let k(s) = 6*s - 3. Let q(m) = 7*k(m) + 3*u(m). Determine b(q(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 25380*y**3 - 977 wrt y?\nAnswer: 76140*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 0*y = 0. Let l(g) be the second derivative of g**5\/20 - g**4\/12 - g**3\/6 + 5*g**2 + 100*g. Calculate l(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -105 - 77 - 39 - -114\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 8d18 (base 15) to base 5\nAnswer: 1424243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 12\/11 or -0.05028?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*o*s**2*y + o*s*y - 43*o*y - 9*o - 12*s**2 + 2*s wrt s?\nAnswer: 4*o*s*y + o*y - 24*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/12 and ((470\/(-7))\/5)\/2?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -819*b**2 - 815*b**2 - 3*b + 1340*b**2 + 4*b + b**3 to the form d*b**3 + s + i*b**2 + m*b and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 5209 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1\/10 of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(112)\/(-2*sqrt(2)*-3))\/((sqrt(88) + (sqrt(88) - -2*sqrt(88))*3)\/sqrt(11)).\nAnswer: sqrt(7)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 215578725 to the power of 1\/2, to the nearest integer?\nAnswer: 14683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 197, 311, 619, 1217, 2201, 3667, 5711, 8429?\n\"Answer: 16*v**3 + v**2 - v + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 748 and 82412.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -131\/36 and (-979)\/484 - (0 + 0)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q. Let t = 155 - 152. Let r(c) be the second derivative of 4*c + 0 + 0*c**t - 2\/3*c**4 + 0*c**2. Determine k(r(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*a + 24*a + 18*a)*(2*a + 3*a - 3*a) - a + a - 2*a**2.\nAnswer: 58*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 + 33\/(-22))\/((-1)\/2). Factor 1 - 3\/4*i**x - 4*i + 13\/4*i**2.\nAnswer: -(i - 2)**2*(3*i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 68*k. Let n(s) = -20*s**2 - 2. What is n(t(y))?\nAnswer: -92480*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -4*d**2 - 769*d + 7185. Determine g(9).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes before 6:55 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 4*j**3 + 60*j**2 + 218*j - 284. Let b(o) = -5*o**3 - 62*o**2 - 218*o + 288. Let z(a) = -2*b(a) - 3*l(a). Find d, given that z(d) = 0.\nAnswer: -23, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 441 by -147.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 596 + -596.2. Let w = -2 - -1.9. What is the second smallest value in w, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19 (base 15) to base 6\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 449455.2g in nanograms?\nAnswer: 449455200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/2 of a micrometer in nanometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 divided by -8329756.\nAnswer: -11\/4164878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 74.32848 tonnes in grams?\nAnswer: 74328480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 92.2056 milliseconds?\nAnswer: 0.00153676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 210 + -102000110010?\nAnswer: -102000102100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/424 and -13\/10?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.1 + 0.1. Let s = 0.1 + r. Let l = 54 + -53.8. Which is the third biggest value?  (a) l  (b) -5\/2  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z - 5*z. Let s = -178 + 182. Suppose o + s*j - 31 = z, 27 + 0 = 2*o + j. What is the remainder when o is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 4*s**5 - 40*s**4 + 148*s**3 - 256*s**2 + 208*s - 64 = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 87 = -3*m - 4*x, 5*m + 4*x - 555 = 0. Let b = -56 + m. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, 2, -49204, -4, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 1)*(-7*z + 7*z + 12*z)*(1 + 1 + 0)*(-z**2 - 5*z**2 - 5*z**2).\nAnswer: -264*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -892719 by -297573.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*s**4 - 12600*s**3 - 62915*s**2 - 100620*s - 50300 = 0. Calculate s.\nAnswer: -2515, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 153*r - 2678. What is the remainder when w(19) is divided by 85?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**3 + g**2 - g - 1. Let b(f) = 6*f**3 + 8*f**2 + 16*f - 8. Calculate b(c) - 8*z(c).\nAnswer: -2*c**3 + 24*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the second derivative of -59*i**5\/5 + i**4\/6 - 22*i**3\/3 - 7*i**2 - 2*i + 21. What is the second derivative of k(r) wrt r?\nAnswer: -1416*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the first derivative of 3*z**5\/20 - 123*z**4\/16 + 87*z**3\/2 + 81*z**2 + 3759. Solve a(f) = 0 for f.\nAnswer: -1, 0, 6, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k - 38 + 8. Let m(h) = 8*h**2 + 66*h + 35. Calculate the smallest common multiple of m(-8) and k.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -598 or -60429\/101?\nAnswer: -60429\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 4 = -3*y + 30, 3*y - 4*b = 34. Suppose -247 = -5*o + s, 0 = o + y*s - 9*s - 41. Calculate the remainder when 148 is divided by o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1728)\/(-2640)*(6960\/72)\/29.\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from nnmhhhhhqnqq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -d. Suppose 2*r - 42 + 2 = d. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes before 7:40 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 20349939*s**3 - 2*s**2 + 11013288.\nAnswer: 122099634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*l + 12 = -48. Which is the nearest to 0.1?  (a) -4\/9  (b) l  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**2 - 15*b + 22. Let f be c(-18). Let h be (-16)\/f + (-30)\/(-4). Solve 3*i + 3*g - 6 = 0, 2*g - h = 5*i + g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -8\/7 > 2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 28 + -21. Suppose 16 = -4*k, -2*k + 68 = -h + 5*h. What is the remainder when h is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 76936 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -49*u**3 - 33*u**3 - 112 + 33 wrt u?\nAnswer: -246*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -45 + 37. Which is the second biggest value?  (a) -0.2  (b) g  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a - 1. Let p be 3\/30 + (-245)\/(-50). What is k(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 300, 0.02, 19, 0.22 in ascending order.\nAnswer: 0.02, 0.22, 3, 19, 300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*h + 80 = 5*f + 4*h, f + 3*h - 32 = 0. Suppose 5*a - 18 - 67 = 0. Let z = f - a. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -30095, -29629, -29163, -28697, -28231?\n\"Answer: 466*d - 30561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**2 - l - 1. Let a be x(7). Let t = -67 - -107. Calculate the common denominator of t and (-2)\/4*(a - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 172\/14 - (-51 - -63).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -13 + 2. What is the highest common divisor of d and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2634*r - 1493 = -2820*r + 553 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(243) + -2*sqrt(243))**2 - (-4 + 1*sqrt(3))) + (sqrt(432)*-1*-4)**2.\nAnswer: -sqrt(3) + 7159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -291 = -1340*l + 2389 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -284531, -2276254, -7682359, -18210038, -35566483, -61458886?\n\"Answer: -284532*f**3 + f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o - 2*n - 10 - 1, -4*o = -2*n - 8. Suppose 0 = -5*x - 0 + 10. Let q(v) = -212 + 0*v**x + 210 - v**2 - 3*v + v**3. Give q(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/4 - 5\/(-2). What is the common denominator of 9672\/2640 + (-12)\/(-10) and 2*(-29)\/(-16) - l?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s = -4*q - 8, 0 = -q - s + 3 - 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00396 to 4 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 153\/2486 or 1?\nAnswer: 153\/2486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from ojwjjkjow.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -142*j - 52 - 58 + 111. Let v(c) = c**2. What is p(v(m))?\nAnswer: -142*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 - -5. Suppose -4*j - j = l. Solve 3*y = -j*a - 2*a + 8, 5*y - a - 9 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-10)\/4)\/((-3)\/6). Suppose -w + 69 = -o, p*w + 5*o = 2*w + 191. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7973 or -7976?\nAnswer: -7973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 p, and 2 n when four letters picked without replacement from {n: 2, p: 1, r: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 smaller than -14\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, 0.0281 in decreasing order.\nAnswer: 4, 1, 0.0281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 775919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 34.621 decades?\nAnswer: 0.34621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 5.7  (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 642 - 641.92. Which is smaller: -3.4 or h?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 1 q when three letters picked without replacement from {v: 3, q: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -2*r**2 - 12*r + 2. Let t be a(-6). Let b(o) = -3*o**3 + 2*o**2 - o - 1. Give b(t).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/6*(8 + -8). Let z = 66 - h. List the prime factors of z.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d = -2*s + 2, 6 = -4*d + 5*s + 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 + -3010544323?\nAnswer: -3010544324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.3538103l?\nAnswer: 353.8103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**3\/(i\/i**(2\/3)))**(1\/24) assuming i is positive.\nAnswer: i**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**3 - 4*d**2 + 4*d. Let r be q(3). Let l(n) = -129*n**2 + 68*n**2 + 62*n**2 + 3. Let c be l(r). What is the highest common divisor of 30 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(-16))\/(x\/(x**(5\/6)*x*x)*x))**(-9\/13) assuming x is positive.\nAnswer: x**(255\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (108*z + 3*z - 9*z)*(-1 + 2 - 3)*(0 + 3 - 2).\nAnswer: -204*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/2*-6*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -233 - 103013332321?\nAnswer: -103013333220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-162)\/(-8))\/((-10)\/40). Let f be ((-8)\/(-10))\/((-2)\/(-395)). Let w = f + r. Calculate the greatest common factor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 282845 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 51, 186, 411, 726, 1131, 1626, 2211?\nAnswer: 2886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:45 AM and 4:08 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*s + 303 = -28*s + 1983. Let h = -40 + 110. Calculate the greatest common divisor of s and h.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**3 + 368*q**2\/3 - 165*q + 124\/3.\nAnswer: (q - 1)*(q + 124)*(3*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.066 + -5.166. Let r = w + 19.1. Let f = 13.9999942 - r. Round f to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4063.41 and -0.4?\nAnswer: 4063.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -15.8612 to one dp.\nAnswer: -15.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/7 + (-102)\/126. Let m = 45.2 - 10.2. Let d = m - 34.97. Which is the closest to i?  (a) d  (b) -2\/15  (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 16) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**2 - 4. Let l be b(3). Suppose -i + m + 38 = 0, -l*m + 0 = i - 14. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17676 is divided by 1932.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-57 - -31 - -27) + -26?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1785 and -26593.\nAnswer: -4746.8505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -275, -129650 in increasing order.\nAnswer: -129650, -275, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 - -25. Let v be (-11)\/(4\/(-22) - (-49)\/(-154)). Let f = v + -14. What is the remainder when l is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.01 in -5, -8, -6888\/11, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 2*v = 5*o - 50, 4*o + 50 = -5*v. Let w(g) = 3*g**2 + 2*g + 5. Let t be w(v). Suppose -3*p = -t + 66. What are the prime factors of p?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 230\/15 - (0 - 2\/(-6)). What is the first derivative of -12 - b + q - 4*b + 15 wrt b?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 361 + -361.2. Put i, 1, 5\/3, -0.4 in descending order.\nAnswer: 5\/3, 1, i, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 15\/5 - 1*3. Let d be 2 + (2\/2 - p). Solve -4*r = -1 - d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -398 less than or equal to -140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -16991*g**2 + 13464 wrt g.\nAnswer: -33982*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**3 + c**2 - 3*c - 2. Let p be t(-2). Suppose -5*x + 28 = -8*s + 5*s, 4*x - p = -4*s. What is the highest common factor of 2 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the third derivative of 43*m**7\/42 - 151*m**5\/10 - 18*m**2 - 6*m. What is the third derivative of z(i) wrt i?\nAnswer: 5160*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 55754679 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/3  (b) -2\/5  (c) 2  (d) -928  (e) -2\/9  (f) -0.242  (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -200020 (base 3) to base 10\nAnswer: -492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the third derivative of r**6\/120 - r**5\/20 - 3*r**4\/8 + r**3\/6 - 9*r**2. Let s be 2 + -1 + (0 - -5). Does 18 divide u(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/y**12*y*y)\/y)\/((y*y**9*y)\/y))\/(y**(-12)*y\/(y*y\/y**11*y)) assuming y is positive.\nAnswer: y**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*x + 194 + 193 - 188*x**3 - 578 + 193 - 2*x to o*x + m*x**2 + j*x**3 + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -9\/19, -0.075, 2\/5, -0.04, -0.02, -1\/6?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -10 + -216?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7*12*91322\/(-116228)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 0 - 886?\nAnswer: -886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*-5739573.\nAnswer: 22958292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j**3 + 4*j**3 + 5 - 4*j**3)*(2*j + 2*j - 2*j).\nAnswer: 4*j**4 + 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 61*i**2 - 37*i**2 - 25*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = t - 140. Let q = t + -29. Calculate the lowest common multiple of 8 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (798\/76)\/((-36)\/(-8) + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 84579 or 84580?\nAnswer: 84579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 3*a - 8 + 5 + 3. Let m(r) = -r. Give k(m(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 67*l**3 - 6*l + 4*l - 4*l.\nAnswer: 67*l**3 - 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05201292347 rounded to five decimal places?\nAnswer: -0.05201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1422838.5 - -842015?\nAnswer: -580823.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -17*k**3 + 204*k**2 + k - 11. Let m be x(12). Let j(t) = -16*t**2 - 6*t + 4. What is j(m)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.087 and -1.15312?\nAnswer: 1.24012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 153 and 70312?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -384, -1, 0 in decreasing order.\nAnswer: 1, 0, -1, -384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1990 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 3363, 4293, 5837, 7995, 10767, 14153, 18153?\n\"Answer: 307*a**2 + 9*a + 3047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**3 + 11*g**2 + 14*g - 3. Let t be x(12). Let y be 1\/((-21)\/(-9)) - 9\/t. Solve -5*p + y*p = 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of 491*h**3\/3 - h**2 + 1107*h + 2211. What is the second derivative of n(b) wrt b?\nAnswer: 982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 - -7. Let x(r) = -r**2 + 6*r**2 - r - f*r**2. Let d be x(0). Is d at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -1 + 28 + -25 - (53 - (15 - -3))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(76))**2*-4.\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 164*g**3 + 24*g**2 + g + 18. Let h(a) = 27*a**3 - a**2 + 1. Calculate 6*h(r) - y(r).\nAnswer: -2*r**3 - 30*r**2 - r - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-1))**(3\/11))**(-50) assuming t is positive.\nAnswer: t**(150\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -226209.51 to the nearest 1000.\nAnswer: -226000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 21\/12 - (-4 - 15\/(-4)). Solve -3*k - r*k + 5 = -3*y, -y - 5 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, 2.3, -64?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -17507000 rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 7, d: 2}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 221, 860, 1929, 3428, 5357, 7716, 10505?\n\"Answer: 215*z**2 - 6*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes after 12:13 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-43)\/(-4) - (-20)\/80. Suppose 4*d - 1 - m = 0. Solve -5*i - 2 = -d*g, -2*i - 5 = -2*g - 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3470947691.\nAnswer: 191, 617, 29453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49 = 10*q - 3*q. Let j(n) = -n**2 - 8*n - 5. Let b be j(q). Solve 3*v - 14 = 2*r, b*r - 5*v - 10 = 7*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1473*2.\nAnswer: -0.2946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/32, -2\/9, 0.5, 8?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 - 6. What is the remainder when (-3 - (194 + -2))\/(5\/((-20)\/6)) is divided by d(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -173*r**4 + 16*r**2 - 2*r?\nAnswer: -4152*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 4*z + 22 = 0, 2*z = -4*r - 22 + 8. Let o(h) = -h + 1. Let t(s) = s. Let i(w) = -6*o(w) - t(w). Let p(a) = -6*a + 7. Determine r*i(n) - 4*p(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z**2 + 3*z**2 - 2*z**2)*(-36*z**3 + 4*z**3 - 36*z**3) + z**5 + 3*z**3 - 3*z**3 + 2*z**5 + z**5 - 4*z**5.\nAnswer: -136*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2865120349?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -38, -6\/7, -9, 0.4, -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 - 35 - 2 - 10.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/7  (b) -0.2  (c) -80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -5, 2*y + 6*u - 3*u - 21 = 0. Suppose -15*x = -y*x. Solve x = -3*q + 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/2166 and -28\/27?\nAnswer: 19494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*p + 25 - 15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*a**2 + 6227*a - 6227*a.\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -4.3 times 0.038\nAnswer: -0.1634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 8*f + 8. Let c = 9 + -15. Let z be v(c). Let n = z - -60. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 103 and 100948961?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n**2 + 11*n - 3. Let y be m(11). Let f = 1127 + -1128. Sort 2, f, -9, y.\nAnswer: -9, y, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 + -8 + -5)*62\/93?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pppppppppsppppppppp. Give prob of sequence ppp.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 + -5. Let s(x) = -2*x**2 + p*x - 10*x - 2*x**2. Let q(r) = r**2 + r. Calculate -6*q(j) - s(j).\nAnswer: -2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the second derivative of 2*a + 0*a**3 - 1\/20*a**5 + 0 + 1\/4*a**4 + 0*a**2. Find the third derivative of u(r) wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1 - 0) + -3 + (0 - -6). Suppose -x*m + 8 = 2*m. What is the first derivative of -7*o**2 - 14 + 7 + 24 + 22*o**m wrt o?\nAnswer: 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - l - 4 - l + l - 3*l + 4*l + (3 - 1 - 3)*(2 + 2*l - 2) + 1 - 12*l - 1 to the form x + c*l and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c + 3*c - 2*c**5)*(-2 + 5 - 5) + (-c - c**2 + c)*(2*c**3 - 3*c**3 + 7*c**3) + (0*c**2 + 4*c**2 - 2*c**2)*(-3 + 3 - 2*c**3).\nAnswer: -6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -79 + 552. Let i = -474 + o. Which is the smallest value?  (a) 0  (b) i  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in -0.4, 86, 8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r + 2*r + 2*r)*(5*r + 0*r - 3*r) + 0*r + r**2 + 2*r - 8*r**2.\nAnswer: -5*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3026)\/(-136) - 23)*4\/30?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the third derivative of -y**6\/120 + y**4\/24 + y**3\/6 - 2*y**2. What is the units digit of a(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.373 + -0.373. Which is greater: -5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 680020289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + 4*w + 17 = 50, w = 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3526, 4320, 5642, 7492, 9870, 12776?\nAnswer: 16210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001656659299 to 7 decimal places.\nAnswer: -0.0001657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 1194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - 5*o + 52, 38 - 63 = -h + 4*o. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -957, 4, 95, -0.4, 29.\nAnswer: -957, -0.4, 4, 29, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 27, 13, -1, -15?\n\"Answer: -14*p + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, e: 1, w: 4}. What is prob of sequence wef?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -102155542 (base 6) to base 14.\nAnswer: -347abc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3439362*u**4 - 5586*u**2 - 223*u + 2.\nAnswer: 82544688*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4\/10*(-5 - -4)*2. Sort 4, 1\/8, 32, x in ascending order.\nAnswer: x, 1\/8, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from thcttkthttqqlthtl. Give prob of picking 1 k, 1 l, and 1 t.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.08  (b) -2\/15  (c) 254  (d) 3  (e) -15904\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 5 = -2*g, 0 = -3*g + 5*y - 6 - 4. Let c(x) = -5*x**2 - x**3 + g*x**2 - x. Calculate c(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) 1\/5  (b) 12  (c) -4.8  (d) -2\/17  (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 345 - -114. Does 51 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 10 = d. What is the tens digit of (42\/d)\/((-7)\/70)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j - 1 + 0*j**2 + 0*j - j**2)*(-116 + 3*j + 116).\nAnswer: -3*j**3 + 6*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3645763 or 3645764?\nAnswer: 3645763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 2*w = -117, 2*w - 18 = -s + 7*w. What are the prime factors of s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 10\/(-15) - (-348)\/9. Let z be 4\/(-5) - f\/(-10). Solve -z*g + g = 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 9461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7712.532 and -3?\nAnswer: 23137.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*l**4\/5 + 9040*l**3 - 36152*l**2 - 36160*l + 723072\/5 = 0. Calculate l.\nAnswer: -2, 2, 4, 22596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/(9\/96 - 0). What is the greatest common divisor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, 37, -2, 0 in descending order.\nAnswer: 37, 5, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1569, -1496, -1399, -1284, -1157, -1024, -891?\n\"Answer: -b**3 + 18*b**2 + 26*b - 1612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 210486, 420817, 631148, 841479, 1051810, 1262141?\nAnswer: 1472472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((1 - 6) + 2)*-5. Let w(g) = g**3 - 16*g**2 + 19*g - 61. Let z be w(h). Let c = -5\/2 + 2. Which is smaller: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 10*x**2 + 190*x - 3. Let s be j(-19). Sort -137, -2\/13, s.\nAnswer: -137, s, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -43*n**2 - 13*n + 19. Let y(u) = -42*u**2 - 11*u + 15. Calculate 3*h(t) - 4*y(t).\nAnswer: 39*t**2 + 5*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -4*k + 4*q, -5*k + 21 = 3*q - 0*q. Calculate the highest common factor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 19879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-3\/5)\/q)\/q**(-2\/9)*((q*q\/(q\/(q*q**(1\/2))*q))\/q*q)\/q*q**(-1\/2)*((q\/q**(-2\/5))\/q)**36*q**6\/q*q**(3\/5)\/q assuming q is positive.\nAnswer: q**(793\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19, 39, 63, 91?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaadaaadaaxxttaaaa. Give prob of sequence tad.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7.2 - 4. Let k = v + -3. Let l = 18\/13 + -131\/104. Which is the second biggest value?  (a) 4  (b) l  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -173 and 0.1?\nAnswer: 173.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -268.6 to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 56*h**3 + 8. Suppose 21*t - 19*t = -78*t - 400. Let y(j) = -37*j**3 - 5. Give t*o(a) - 8*y(a).\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-38)\/76)\/((-2)\/12). Let d = 30 + -16. Solve -s*h + d = 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 435484.\nAnswer: 2, 7, 103, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the first derivative of 3 - 1\/2*c**2 - 1\/4*c**4 + 0*c**3 + c. What are the prime factors of n(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*(-8)\/20*15\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4300*0.0126\nAnswer: 54.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, z: 2, t: 6, e: 2, q: 7, m: 1}. What is prob of sequence qz?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*l**2*v**3 - 3*l**2 + 60*l*v - 10804*v**3 + v**2 - 1 wrt v?\nAnswer: -12*l**2 - 64824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -745 (base 13) to base 7.\nAnswer: -3421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.72422 to 3 decimal places.\nAnswer: 0.724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 31.72822km?\nAnswer: 31728220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*z + 3*z - 735 = -2*v, -5*v - 2*z = -1852. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 91713.43ml to litres.\nAnswer: 91.71343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-141)\/846)\/(154\/165)?\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1060 and 1300.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1871, -1870, -1867, -1862, -1855, -1846, -1835?\n\"Answer: h**2 - 2*h - 1870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -2837163, -2837166, -2837171, -2837178?\n\"Answer: -i**2 - 2837162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19221, 19220, 19219, 19218, 19217?\nAnswer: 19216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3801678644 to the power of 1\/4, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1497572931 rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 170*c - 2528*c**3 - 170*c**2 - 54*c - 55*c - 62*c + 999*c**3 wrt c.\nAnswer: -9174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 3*n + 6 + 4 = 0, -6 = -2*s + n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 12 = -3*j - 0, -2*u - j = -4. Let d be u - -2 - (-13 + -5). What is the first derivative of -3 - 22*y - d*y + 30*y wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9*24\/270*5 - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29917\/59 smaller than 506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the third derivative of -l**8\/224 + l**7\/140 + l**6\/40 - l**5\/20 - l**4\/16 + l**3\/4 - 7*l**2 + 4. Factor i(d).\nAnswer: -3*(d - 1)**3*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 10*d - 384 - 2*d + 192 + 5*d + 205. Determine n(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 174419 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**3 + 6*f**2 + 2*f + 1. Let n(d) = d**3 + 13*d**2 + 12*d + 6. Let c be n(-12). Determine y(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -28.302932 - 0\nAnswer: -28.302932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - -1) + 2 - (-8 + (8 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 17\/135 + 2\/27. Let s = 2.13 - -31.87. Which is the second biggest value?  (a) 1\/4  (b) s  (c) o  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 - 6*r**2 - 6*r + 2. Let w be s(7). Suppose -w*t = -20 - 25. What is the remainder when 17 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -6*(sqrt(704) + 0)*-1.\nAnswer: -2 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -4*j**2 + 1579*j + 6375. Calculate v(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -10012011 (base 4) to base 5\nAnswer: -1014043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78*w - 14*w - 166367 = -9*w. Calculate the remainder when w is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -4*f + 2. Let v be i(-3). Let r be v\/4 + 5\/10. Suppose 0 = r*x - 17 - 3. Solve 0*q + 5 = -5*s + x*q, 0 = 5*s - 2*q - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.24 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26510, 26661, 27064, 27845, 29130, 31045, 33716?\nAnswer: 37269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3340 + 1229 = t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79 less than 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-34*n + 171 - 171)*(-1 + 1 - 2*n) - 1155*n + 1155*n + 8*n**2 + (-3 + 2*n + 3)*(-4*n + 0*n + 5*n).\nAnswer: 78*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1046 - -1048. Let j be ((-364)\/10)\/(1\/(-10)). Suppose -5*v - 105 = -g, -3*g - 23 + j = -w*v. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 107626098 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -2467*v + 17277. Determine d(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 4\/3*c - 16\/3*c**2 - 7\/3*c**3.\nAnswer: -c*(c + 2)*(7*c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1511141 is divided by 432.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 115*n**2 - 5*n**2 - 27*n**2 - n**2 + 2*n**3 - 14*n**2 - 16 - n + 2*n**4 to the form a*n**2 + k*n**3 + y + x*n + d*n**4 and give a.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/22?  (a) -579  (b) -3\/8  (c) -18\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1092 - 2)*(-17)\/17. Suppose 2*f - 2828 = 2*r, -3128 = -3*f - r + w. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 + 2b0a?\nAnswer: 2b08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (8\/3)\/((-2)\/(-3)). Let n be (-90)\/(-24) - (-1)\/o. Solve -1 = n*h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**2 - 10*b - 28. Suppose u + 2*p + 3 = 0, -4*u + 8*p - 12 = 11*p. Calculate q(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (-3 + 1 + sqrt(684) - sqrt(684)*2*-5)*-6)**2.\nAnswer: -9504*sqrt(19) + 2979648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -89 - 205 = -294*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*c**2*i**3 - 449*c**2*i + 37*c*i**3 - c*i**2 + 10*i**4 + 2*i wrt i?\nAnswer: 12*c**2 + 222*c + 240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 3 = -p. Let m(l) = 2*l. Let q(f) = -4*f. Let r(t) = 9*m(t) + 4*q(t). Give r(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {x: 3, i: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o**2 - 2*o**2 + o**2 + 2*o**5)*(0 + 6 + 7)*(-1 + 0 + 0) - 5*o**5 + 12*o**5 - 3*o**5.\nAnswer: -22*o**5 + 26*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.0778 - -0.2222. Which is the third biggest value?  (a) 94  (b) n  (c) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51512 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -7303268480 rounded to the nearest 1000000?\nAnswer: -7303000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ftfs when four letters picked without replacement from tttsdttrrrff?\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 743059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**3 + 56*b**2 - 6*b - 913. What is the tens digit of p(-53)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6643000 to the nearest one hundred thousand.\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {k: 2, n: 3, i: 10}.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/5)\/(10*6\/75)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2\/(-4))\/(2*(-5)\/40). Suppose 6 = t - 0*t. Suppose q = t*q. Solve 0 = y*a + 6 - q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2008\/153 - 116\/9. Suppose 6 = 8*q + 14. Which is smaller: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -60 divided by 12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxlxxxxxxbx. Give prob of sequence xb.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 50279 = 3*r, -16*s + 19*s - 83775 = -5*r. 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 prob of picking 1 i and 2 l when three letters picked without replacement from {l: 3, i: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 6*z**3 - 4*z**2 + z + 1. Let d(f) = f**3 + f. Let b(w) = -a(w) + 5*d(w). What is the tens digit of b(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 5*k + 4*l, -5*k + 6 = 5*l + 1. Let h be (k - (-15)\/(-2))\/((-27)\/(-54)). Let s be ((-5)\/(-3))\/((-1)\/6). Which is smaller: h or s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vii when three letters picked without replacement from ivvvvggvgvgigvvgi?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 239411 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 681  (b) -1\/2  (c) -1  (d) 2\/7  (e) -1.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = h - 162, -h - 182 = -5*z + 80. List the prime factors of z.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 5*q + 1. Let d be j(1). Let a = -3 + d. Suppose 3 = 5*i + a*k, 4*k = -2*i + k - 6. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 131262657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m**2 + 223*m - 442 = 0. What is m?\nAnswer: 2, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 4 + 2*h)*(1 - 1 + 2) - 5*h + 0*h + 3*h - 39 - 9*h + 23 + 18 to i*h + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -4*z + 2 + 2*z - z**3 + 6*z + 0*z**2 + 3*z**2. Let p be w(4). Calculate the remainder when 19 is divided by 11\/(p\/(-3 - -5)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -456*k**2 + 3 - k + 456*k**2 - 34*k**4 - 4 as f*k**4 + r*k**2 + x + u*k + c*k**3 and give f.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/10)\/(12\/84).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -181, -3, 3, 5, -60.\nAnswer: -181, -60, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 940\/9 - 23464\/225. Let k = -19\/25 + b. Let n = 2 + 1. Sort n, k, 0.5 in descending order.\nAnswer: n, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and -41780.\nAnswer: -83560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vvjvvvjjvvvjjvvvvv?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (-1 - -5) + -20 + (10 - (26 - 12))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 18 = -b. Let h be (-6)\/b + 0 + 1. Suppose 10 + h = -3*s. Let u(c) = -c**3 - 4*c**2 - 2*c - 2. What is u(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3 + -2)*(8 + -1). Let t = 114 - 33. Let f be -6*(-2)\/(-3) + t. What is the greatest common factor of f and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 4587 = 5*x, 3*x - 5*p - 4494 = -1725. What are the prime factors of x?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 1\/1119633 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 52, 77, 104, 133?\n\"Answer: h**2 + 22*h + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 + 195)*((-3)\/(-2) + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (72\/60)\/(-6) + (-28741)\/(-5)?\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8710137 and 1071.\nAnswer: 60970959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m + 11*m - 13*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 71\/16 - -127\/16. Find the common denominator of -99\/32 and s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/5, -4\/5, 2\/9, 9\/143, -8, -4, 5?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 5 = -1, -3*o - 2*h = -14. Let t = o - 4. Suppose t = -a - 4*a + 70. Calculate the remainder when 53 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**2 + 5*o. Let x be t(4). Suppose 7 = -2*d - d + 5*y, 3*y = -x*d + 39. Let v be 1 - (-2 - 0)\/2. Solve -d = h + v*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -0.3, 34, 4\/9, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -18*o**2 + 3*o - 14. Let k(t) = -17*t**2 + 2*t - 15. Let c(s) = 3*k(s) - 2*p(s). What is the derivative of c(r) wrt r?\nAnswer: -30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 + 2 + -2 - (14 + -24). Suppose -d = -q + f, -d + 18 = 4*q - 3. What is the lowest common multiple of 28 and q?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10451710153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(275) - sqrt(539)*-3) + (2*(sqrt(33) + sqrt(99)\/sqrt(3)))\/(sqrt(243) + 2*sqrt(243) - sqrt(3) - sqrt(3)).\nAnswer: 404*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the first derivative of t**4\/54 - 2*t**3\/27 + t**2\/9 + 5*t + 7. Let l(x) be the first derivative of q(x). Solve l(v) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m**3 - 207*m**2 + 207*m**2.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.9158 - -62.\nAnswer: 61.0842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s**5 + 6048*s**4 - 36369*s**3 + 54606*s**2 + 24228*s - 72792 = 0. Calculate s.\nAnswer: -2022, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*v**3 - 135*v**2 + 50*v wrt v.\nAnswer: -12*v - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.01907 * 9523\nAnswer: 181.60361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -3 + (-21)\/6*-2. Factor -4*j + 4*j + 0*j + 2*j + 2*j**3 + i*j**2.\nAnswer: 2*j*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yym when three letters picked without replacement from {y: 2, m: 2, n: 1, t: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 173, 473, 1303, 2927, 5609, 9613, 15203, 22643?\nAnswer: 32197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -462136172*m**5 - 82520164*m wrt m.\nAnswer: -9242723440*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sum -5 and -0.07108.\nAnswer: -5.07108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -57*n**3 - 14*n**2 + 4*n + 27. Let w(t) = 14*t**3 + 3*t**2 - t - 6. Let p(r) = -2*u(r) - 9*w(r). Determine p(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 15, l: 5}?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5, -17, -35, -59, -89, -125?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1*5\/1*-1. Suppose -14 = -2*i - g*l - 66, -5*i + 2*l - 72 = 0. Let k = -7 - i. What is the highest common divisor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 - -9. Suppose -g + 91 = h + w*h, 0 = 2*h + 2*g - 38. Calculate the highest common divisor of 12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/5  (b) 2  (c) -363.45  (d) -16\/3  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.2, 0.235, 1\/4, 3\/4?\nAnswer: 0.235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 14 = p - 19, 0 = a + 4*p - 18. Let b be 2*(a - (2 + 0)). Let u(s) = s + 3. Let h be u(b). Calculate the highest common divisor of 121 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*o + 6119 - 61*o + 26*o.\nAnswer: -o + 6119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1367056 and 162934?\nAnswer: 56049296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(304) + -5 - sqrt(304))*3 + -3)**2.\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l**4\/7 + 116*l**3\/7 + 680*l**2\/7 - 1716*l\/7 + 918\/7 = 0. Calculate l.\nAnswer: -51, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 11*r**2 - 20*r + 5 + 8*r**3 - 9*r**3 - 2*r**2. Let a be y(6). Let g = a + 14. Solve -2*z - 25 = -g*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 109*m + 6?\nAnswer: 109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 105513272?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -288?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 18405*t**5 + 103*t**4 - 48*t**2 - t + 61411059.\nAnswer: 368100*t**3 + 1236*t**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 16*c**2 + 2*c + 1. Let q = -49 - -70. Calculate the remainder when t(-2) is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 330 = -d + 4*d, -416 = -4*d - 2*t. Suppose 0 = -4*c - d + 114. Suppose c*w - 3*f - 3971 = 0, w - f - 1968 = 4*f. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 93916 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: Round 679.0849 to the nearest 10.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 6*m - 8 + 2*m + 3*m**2 + 0*m**3 - 4*m**3. Let x(d) = -9*d**3 + 7*d**2 + 17*d - 17. Let i(w) = 13*c(w) - 6*x(w). Determine i(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 2 g when three letters picked without replacement from {s: 4, g: 7, v: 3}.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 45441?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.5  (b) -2\/13  (c) 0.143\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the first derivative of -9*v**4\/4 + 11*v**3\/3 - 7*v**2 - 67. Let h(a) = -3*a**3 + 4*a**2 - 5*a. What is 6*b(d) - 17*h(d)?\nAnswer: -3*d**3 - 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29, 53, 73, 83, 77, 49?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 5, i: 3, z: 1, b: 1, x: 1}. What is prob of picking 1 b, 1 v, and 1 z?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -250, -5, -2 in ascending order.\nAnswer: -250, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 e and 1 u when four letters picked without replacement from {k: 1, t: 2, e: 4, u: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -327892  (b) 0.72  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the third derivative of -s**5\/60 + 7*s**4\/24 + s**3\/3 - 6*s**2. Let y be v(7). Factor -2\/5*c**5 + 0*c**y + 0*c**3 - 2\/5*c**4 + 0*c + 0.\nAnswer: -2*c**4*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -120 + 120.4. Put -33, 3\/5, q in decreasing order.\nAnswer: 3\/5, q, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/32 and -93\/544?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 552 + -550. Solve -2 = s*j + 2*v, -2*v - 9 = -2*j - 27 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the first derivative of -l**3\/2 + 3*l - 2. Let r(h) be the first derivative of q(h). Let o(t) = t**2. Determine o(r(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r. Let a(k) = -3*k + 1. Let c be a(-2). Let d(h) = c - 7 + 8*h - 3*h. Let n(o) = -o**2 - 24*o - 126. Let y be n(-12). Determine y*i(j) + 4*d(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-2))**(-1\/59)\/(j**(-8)*j**(14\/5)))**(-42) assuming j is positive.\nAnswer: j**(-64848\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4.7 - -0.1. Let f = c + 26.2. Which is greater: 1\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 53*i**3 + 11*i**2 + 17*i. Let b(o) = -27*o**3 - 6*o**2 - 9*o. What is -11*b(x) - 6*u(x)?\nAnswer: -21*x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(75)*-1 + sqrt(75))**2 - sqrt(30)\/(sqrt(40)\/sqrt(4)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -61 + 57. Let r be ((-5)\/(-185))\/((-1)\/1). Which is the third smallest value?  (a) 1\/2  (b) r  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -14*m**2 + m - 21. Let d(w) = -5*w**2 - 7. Let i(g) = 17*d(g) - 6*n(g). What is the smallest common multiple of i(-5) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 4*s = -10. Put s, 3, 1 in ascending order.\nAnswer: 1, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -126\/11, 0.75, 417, -4 in decreasing order.\nAnswer: 417, 3, 0.75, -4, -126\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -6833 divided by 246\nAnswer: -6833\/246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.1507 + 0.3493. Suppose 0*y = -5*y - 65. Let u be y\/(-6) - 0 - 2. Which is the nearest to 2\/3?  (a) f  (b) -4  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the first derivative of -c**2 - 1. Let a(z) = -z**2. Determine q(a(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 7618, 7615, 7610, 7603?\n\"Answer: -s**2 + 7619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -539.7908054 + 0.8435054. Let s = o + 539. Let a = 0.05 - s. Round a to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3 - 1)\/(2\/(-1)). Let a = 3 + -1. Let d = a + i. Solve -d = 3*z - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -6*u**2 - 7*u + 31. Let z(p) = 7*p**2 + 6*p - 30. Let t(w) = -6*s(w) - 7*z(w). Differentiate t(q) wrt q.\nAnswer: -26*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17607233.000039 - 17607205. Let g = -15 + 43. Let l = g - n. What is l rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the third derivative of z**9\/60480 - z**8\/5040 + z**7\/1260 - z**6\/360 - z**5\/20 + 2*z**2. Let p(w) be the third derivative of d(w). Determine p(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*q + 0*q - 2*q**3 + 3*q**3 - 6*q**3 - 3*q**3 + 3*q**3 + q**3 - 3*q**3 + (3 + 3 - 5)*(-q**2 + q**2 + 2*q**3).\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/(-2)*30\/9. Suppose p*f = 4 + 11. Suppose 2*y = -2*d + 108, -f*d - 35 = -3*y + 121. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-6)*(-6831)\/(-198)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**2 - 8*t - 6. Let m be j(-5). What is the units digit of ((-2)\/3)\/((-1)\/m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/4 - (2 + -2). Let y = 28 + -28.07. Is y bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 245994.\nAnswer: 2, 3, 7, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1490, -1488, -1486, -1484, -1482?\n\"Answer: 2*d - 1492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-189 + -4 + 2)\/(0 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 + -2. Suppose -x*a - 48 = 80. What is the units digit of (-2)\/(-8) - 408\/a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/16 - 2*18\/16. Let t be (-68)\/(-11) - g - (-8)\/(-44). Suppose 11688 = 4*l + t*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -5*v**3 - 68*v**2 - v - 1412. Let z(c) = 6*c**3 + 91*c**2 + c + 1411. Calculate 4*l(q) + 3*z(q).\nAnswer: -2*q**3 + q**2 - q - 1415","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**3 - j**2 + 2*j - 2. Let r = -12 + 13. Let d be z(r). Suppose -5*p + d = 5. Are p and 3\/8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(143) + 2*-3*sqrt(143) - sqrt(143) - -5*sqrt(143)*-4)\/(sqrt(77)\/(sqrt(28)*-1)*1).\nAnswer: 52*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/8 of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1036, -1029, -1012, -979, -924, -841, -724?\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12562195313504860\/46325833 + -271170414. Let m = 9485538587621\/926516660 + r. Let z = -10235 + m. Find the common denominator of z and -1\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 68, 140, 212, 284, 356, 428?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 75*z**2 + 5*z**3 - 75*z**2.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 2*y - 5*y = -20, -20 = -5*y. Put 3, g, 1 in ascending order.\nAnswer: g, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2223*a - 20007 - 7929 = -105*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 673.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1280420 and 24820?\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:40 AM and 5:51 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25590?\nAnswer: 2, 3, 5, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(15)\/(sqrt(15)\/sqrt(3) + sqrt(5)).\nAnswer: -5 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -730, -2, 12, 1.\nAnswer: -730, -2, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 3*l. Let g(r) = 14*r**2 - 8*r**2 - 2*r**2 + 0*r**2 - 3*r**2 - 82*r. What is g(i(k))?\nAnswer: 9*k**2 - 246*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*h - 2*p + 23, 2 = -2*h - 2*p + 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-28))**(-9)*(y**(-6))**(-2\/101) assuming y is positive.\nAnswer: y**(25464\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19, -35, -51, -67?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 126*o - 131. Give j(12).\nAnswer: 1381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67126 = -503*k - 10790 for k.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25725*c - 3*n + 2*n = -25727*c - 26, 13 = 9*c + 2*n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12586 + 24883. What is the remainder when i is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2*-4248\nAnswer: 8496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-63*a + 22*a + 21*a)*(76 - 76 - 35*a) in the form h*a**2 + k + o*a and give h.\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-24)*w*w*w**(-3\/5)\/w*w assuming w is positive.\nAnswer: w**(-113\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 - 7. Suppose j - 3*j + b + 12 = 0, -j - k = 3*b. Suppose -4*g = o - 2 - 3, j*o = -g - 13. Solve -2*i - 2*l = -l + g, -3*i - 2*l - 4 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 + -4. Calculate the greatest common divisor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(4\/(-2 + 6)). Let n(s) = -s**2 + 6*s - 5. Let q be n(i). What is the common denominator of (5\/q + -2)\/(14\/(-10)) and -29\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 12, -12, -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -57 + (-32 - ((-91 - -25) + 4))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (-4 - (-5 - -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -191 - -207. Suppose -w + 40 + 0 = 0. What is the highest common divisor of o and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**2 + 667267104*v + 27827836755034176.\nAnswer: 4*(v + 83408388)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(216) + sqrt(216) + sqrt(216)*-1 + sqrt(216))\/(sqrt(16)\/(sqrt(24)\/sqrt(3))).\nAnswer: 5 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 + -2. Let d(a) = -4 + 10 + h + 0*a - a. Let w(t) = 9*t + 2. Let y(o) = 23*o + 5. Let f(p) = -5*w(p) + 2*y(p). What is d(f(u))?\nAnswer: -u + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 16 = -8. Let c(q) = q**3 + 9*q**2 + 12*q + 17. Let t be c(-7). Suppose 3 = -t*m + 34*m. Calculate the least common multiple of r and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -128 - -132. Let g = -4 + 4.3. Let b = 1.3 - g. What is the third biggest value in -3, h, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sss. Give prob of picking 3 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11 + -76. Let o = n + 65. Suppose o = 4*i - 60 + 12. Solve 3*b - 6*l + i = -l, 5*l - 4 = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/10 and -55\/1592?\nAnswer: 7960","meta":{"dup_signals":{},"source":"numbers__lcm_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: What is the greatest common factor of 948 and 30740559?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 76 + c**2 + 44*c**4 - 25 - 25 - 24 in the form n*c + y*c**3 + l*c**4 + b*c**2 + k and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 2*j + 28 = 14, 5*j = -x + 3. Calculate the greatest common divisor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y - 2 = -2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -2*b**3 - b**2 - 6*b - 21. What is the units digit of s(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 249, -1, -284, -2\/11, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5840 and 730?\nAnswer: 5840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-81)\/(-6)*(-8)\/(-18)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -3*i**2 - 2788680*i + 8366067 = 0.\nAnswer: -929563, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 35 - (28 - 13) - (-4 - (-14 - -5))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2822151175 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 105364?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -5*k**3\/3 - 485*k**2\/3 + 500*k\/3 + 980\/3 = 0.\nAnswer: -98, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/(-15)*(1365\/286 - (-15)\/(-55)). Let k be ((0 - 0)*1)\/2. Factor -2\/5*l**2 + o*l + k.\nAnswer: -2*l*(l - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/(-10) + (-204)\/(-10). Suppose 1 - x = -4*f. Is 99*f - (0 + -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-9))\/(29\/5481*-1*-6)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/11?  (a) 0.3  (b) 9463  (c) 200\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * -2890.\nAnswer: -1445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/49?  (a) 5  (b) -36  (c) 0  (d) 0.2  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -4711 times -0.02\nAnswer: 94.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -13*c - 27. Let d be o(-6). Let w = d - 88. Let y = 31 + w. Let u(z) = z - 2. Give u(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-1 + -3*(4 + sqrt(208) + 1)))**2.\nAnswer: 13824*sqrt(13) + 76608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p**2 + 3*p**2 + p**2)*(-3*p - 3*p + 0*p)*(-1784*p + 1358*p + 851*p).\nAnswer: -10200*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3250301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*z + 6*z = 5*p - 160 + 110, 0 = -3*p - 4*z + 47 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-62)\/10 - 584257\/(-94705)\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and 1.1569?\nAnswer: -5.7845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 240*v**2 - 4*v - 290. Let p(t) = -51 - 48 - 4*t + 147 + 2*t - 47. Let s(k) = -c(k) + 2*p(k). What is the derivative of s(x) wrt x?\nAnswer: -480*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3.7 - -2.7. Put 3, l, 0.2, 1 in descending order.\nAnswer: 3, 1, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4494\/105)\/((8\/18)\/(-4)). Which is greater: -386 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 28*r**2 + 0*r**2 - 5 + 5 + 9 wrt r?\nAnswer: 56*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13.5 - -13.499889. Round a to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-100)\/(-45) + 6\/(-27). Let w be 1*(-1 + o)*5. Suppose -6*v + 101 = -w*v. What are the prime factors of v?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 86618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -4*v. Let l be s(-1). Suppose 3*w - l*p = 0, 2*p = -4*w - w + 26. Solve -w*i = 17 - 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1258\/407)\/(23\/(-253))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**3 - 82*o**2 - 802*o - 1203. What is i(91)?\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + 6*a = -3*z - 25, -a + 2*z + 2 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 41*l**2. Let f(y) be the second derivative of 0*y**2 + 1\/6*y**3 + 12*y + 0. Give p(f(q)).\nAnswer: 41*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 826 is divided by 140?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 797.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 954816 a multiple of 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r**2 + 1 - 1)*(-2*r + r + 0*r)*(4*r + 146 - 146)*(19 - 19 - 3*r) + (2*r**3 - r**3 + 0*r**3)*(3 - 3 + r**2).\nAnswer: 49*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11 and 83651.\nAnswer: 920161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -6*k**3 + 2499*k**2 - 312492*k. Let w(z) = -z**3 - z**2 + 8*z. Let q(n) = -c(n) + w(n). Find h, given that q(h) = 0.\nAnswer: 0, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2\/(-2) + 731 + (82 - 76)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r - 4, -5*w - 6*r + 30 = -r. Let g(f) = -f**2 + 5*f - 2. Let t be g(w). Put t, -4, -2 in increasing order.\nAnswer: -4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from {c: 1, l: 1, r: 9, w: 7, b: 2}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 9311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/2 of a kilogram in grams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5\/4  (b) 6  (c) -3  (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 2*d - 3. Let y be s(3). Suppose -6*o + y*o = 0. Suppose -3*c + 7*c - 356 = o. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/10*-6*45\/(-36)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 - 8)*(10*t - 16*t + 20*t).\nAnswer: -98*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 130*q - 76 - 662*q + 76.\nAnswer: -532*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z - 3*q + q - 46, 5*z = q - 133. Let x = z - -18. Find the common denominator of 0 - ((-47)\/x + -2) and -31\/26.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/938 and -21\/2?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -56 divided by 274\nAnswer: -28\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1106599725 divided by 745185.\nAnswer: -1485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11 + 6. Let y = -19 + 21. Put m, y, 3\/5 in increasing order.\nAnswer: m, 3\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -33\/130 and -94\/45?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 161749 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 114*c - 166 wrt c.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 13352864 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -130.5 + 15.5. Let i = 18 - q. What is the second smallest value in -1\/2, i, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 126 = 1786*v - 1790*v - 5*i, -4*v + 5*i + 94 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*2*sqrt(170))\/(sqrt(40) - sqrt(1440)) + (6*(sqrt(17)*-2*5 - sqrt(17)))**2 + -3 + -1.\nAnswer: -6*sqrt(17)\/5 + 74048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 83*m**2 - 68*m**2 - 19*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*a**3 - 9606147*a**2 + 105667254*a.\nAnswer: 3*a*(a - 3202038)*(a - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -122\/1298559 or 1?\nAnswer: -122\/1298559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1601953997?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/9, 0.1, -5.5, 3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1880649890 and -0.6.\nAnswer: 1880649889.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 47\/4 of a millennium?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*c**2 - 4*c**2 - 4 + 5*c**2 - 1465*c**3 + 1461*c**3 + 3*c to z*c**2 + q*c**3 + h*c + g and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**3 + m**2 + 6. Let c be 4\/((-16)\/12) + 3. Give k(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 (base 10) in base 15?\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69071 is divided by 21652?\nAnswer: 4115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -0.85, 184, 7, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(153))\/sqrt(9) - (-3 + sqrt(272) - sqrt(17)) - ((sqrt(136)*1)\/sqrt(8) + -1).\nAnswer: -5*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66740177 is divided by 260.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve a**4 + 3538*a**3 + 569020*a**2 - 1148658*a + 576099 = 0.\nAnswer: -3369, -171, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 6382 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*j**4 - j - 5*j**3 + 3*j**3 + 4*j**3 in the form w*j**4 + v + p*j**2 + r*j**3 + b*j and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -4*d - 15. Is 226\/2*(6 + d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the first derivative of 8 - 12\/5*r**5 - 2*r**4 - 1\/2*r**3 + 8*r + 0*r**2. Let v(z) be the first derivative of j(z). Find h such that v(h) = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 - 0) + 494\/247. Solve 4*k + 13 - 26 = 3*y, -5*y = d*k - 17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.08 + 0.38. Let u = 1087 - 1088. Which is the biggest value?  (a) u  (b) f  (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35*148\/(-20)*(1\/(-4))\/(1008\/(-1728)).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 3*a + (-a + 2*a - 2*a)*(-2 + 1 - 1) + 2*a - 1 + 1)*(5*a - a - a).\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 153 - 27 = 0. Let p = -4 - x. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -2*m**2. Let u(w) = -2*w**2 - 474. What is i(u(b))?\nAnswer: -8*b**4 - 3792*b**2 - 449352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 7092.\nAnswer: 1\/3546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -195 divided by 5\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 - 3\/(-2))*0. Suppose 12 + m = 3*i. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y*y*y\/(y*y*y\/(y*y\/y**(-3\/5))))\/y)\/y)**(-29)\/(((y\/y**(-1\/6))\/y)\/y*y*y\/y**(-7)) assuming y is positive.\nAnswer: y**(-1637\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 52, 55, 60, 67?\n\"Answer: c**2 + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -7c (base 13) in base 10?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrhrrrrrrrrrr. Give prob of sequence hr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -2*u**2 - 5*u**2 + 5*u**2 + u**2. Let q(d) = -5*d**2 + 3. Give 4*m(l) - q(l).\nAnswer: l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2424919, 4849839, 7274759, 9699679?\nAnswer: 12124599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**2 + 12*z. Let x(v) = -v - 1. Let t(p) = -m(p) - 5*x(p). Let o be t(6). Let h be (-5)\/10 + o + 1. Are h and -2\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1545264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, 3 in decreasing order.\nAnswer: 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 15*y**2 - 5*y - 4. Let l be m(4). Let g = -29 - l. List the prime factors of 4\/12 - g\/3.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**4 + 5604*t**3 + 29768865*t**2 - 62606923650*t.\nAnswer: -3*t*(t - 2545)**2*(t + 3222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -1\/311875?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 101025 is divided by 138?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 14980*g - 104968. What is v(7)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((3477\/(-190))\/61)\/(2\/(-4)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (135\/(-1485))\/(1*2\/(-4))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**(-12)*p)\/(p\/(p\/p**2*p)))\/((p\/p**(-9))\/(p*p**8)))**(4\/17) assuming p is positive.\nAnswer: p**(-52\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-9)\/(-4))\/((-6)\/(-4)). Sort 1\/6, s, -0.2 in descending order.\nAnswer: s, 1\/6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**3 + f**2. Let g(o) = -2*o**3 + 29*o**2 + 59*o + 27. Let d(x) = -g(x) + k(x). Let m be d(30). Solve -m*l = -2*z - 10, -7 = 5*z - 4*l + l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-11)\/2)\/(((-76)\/((-1216)\/(-6)))\/(-3)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) 3  (c) -0.2  (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 442*g + 377*g - 903*g + 3 in the form b*g + z and give b.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes after 12:02 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1254906?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -12*d**2 + 46*d - 161. Let t(r) = -2*r**2 + 8*r - 28. Let f(o) = -4*c(o) + 23*t(o). Let b(j) = -3509*j**2. Determine f(b(i)).\nAnswer: 24626162*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4051*l**4 - 85641*l**2 - 85638*l**2 - 4869 + 171279*l**2 wrt l?\nAnswer: 16204*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-342)\/(-855)*(-250)\/(-1350)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**3 + 8*x**2 - 2*x - 8. Let h be r(-8). Suppose q = -3 + 5. Suppose q*i = 6*i. Solve 5*f + 4*u = 16, f - h = -i*f + 4*u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2203, 0 in decreasing order.\nAnswer: 2203, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -30, -123, -280, -501, -786, -1135?\n\"Answer: -32*x**2 + 3*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the first derivative of -3*b**2\/2 - b - 188. Let k(g) = -2*g - 2. Give 4*k(s) - 3*m(s).\nAnswer: s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/448*-7)\/((-16)\/(-1600)*(-5)\/(-10))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 = 22*v - 38. Find the third derivative of 582*a**v - 51*a**2 + 0*a**3 - 652*a**5 + 0*a**3 wrt a.\nAnswer: -4200*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + 22 + -38 + (0 - 4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 - -2310330?\nAnswer: 2310330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**2 + 3*j - 2. Let b(u) = -u**2 + 22*u + 29. Let y be b(23). Let q be ((-6)\/4)\/(99\/(-18) + y). Give k(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the first derivative of -2*u**6\/3 + 4*u**5 - u**4 - 68*u**3\/3 + 44*u**2 - 32*u + 2993. Determine j, given that k(j) = 0.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18214085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -674 - 1756 = -30*w. Solve w*a = 76*a + 30 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 415598784 to the power of 1\/2, to the nearest integer?\nAnswer: 20386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4084514, 4084546, 4084578, 4084610, 4084642?\nAnswer: 4084674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k - 4*k = 57. Suppose 17 = -h + 55. Calculate the highest common factor of k and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**2 - 56*t + 178. What is the units digit of n(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 62 + -75. Is a <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*h**(-1\/5)))\/h**(-2\/3))\/(h**1)**(1\/20) assuming h is positive.\nAnswer: h**(49\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f - 2 - 3. Let q be ((-2)\/4)\/(f\/190). Suppose 7 = -3*o + q. Solve -2*g = -o*g + 5*v - 11, 0 = -g + v - 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes after 7:57 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.1 or -1.39?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1680*q**2 + 3*q**3 + 0 + 2 - q**4 + 10*q**4 + 4*q - 1681*q**2 to the form d*q**2 + t*q**3 + y*q**4 + s + o*q and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the third derivative of g**4\/6 - g**3\/6 - 1618*g**2. Let d = 0 + 1. Calculate a(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 - -6. Suppose -c*o = 2*v - 2, 3*o = -v + 2 - 0. Suppose 4*f + 269 = 2*x + 3*x, o*f = 3*x - 161. List the prime factors of x.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -119*y - 69*y + 19*y - 127*y - 5.\nAnswer: -296*y - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -503 + 938 - 490 - h as b*h + g and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 0, -6, -3\/20, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -32 + 10. Let g = l + 32. Let t = g + -2. Which is the second smallest value?  (a) 4\/3  (b) t  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 3*f**3 - 3*f**2 + 2*f - 1. Let z be (-240)\/(-132) + 2\/11. Calculate l(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*q + 28 = q. Let j be (q\/(-40))\/((672\/(-35))\/6). Is 1 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.040048 rounded to three decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -4*p. Let f(u) = -34741*u**2. Determine y(f(t)).\nAnswer: 138964*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(2\/7)*t**(6\/11))\/(t\/(t*t**2\/t*t))**47)\/(t*t**(-3\/5)*t*t\/(t*t*t\/t**(2\/19)*t)*(t\/((t\/t**6)\/t))\/t**4) assuming t is positive.\nAnswer: t**(682679\/7315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzmdvzmlzymm. Give prob of sequence yzld.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1289\/470 - -186\/47. What is the common denominator of 34\/3 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 - -10.4. Let p = m - 0.41. What is p rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -153, -258, -289, -210, 15?\n\"Answer: 6*j**3 + j**2 - 150*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:11 PM and 11:27 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(133) - 1*sqrt(133))*-3 - -4*(sqrt(133) + 2*sqrt(133) + sqrt(133)))*-2)\/((sqrt(42)*-2)\/sqrt(6)*-2*5))**2.\nAnswer: 1216\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -5*x + 2*w + 32, 4*x - 56 = -4*w. Let k be (-6)\/x + (-48)\/5. What is the remainder when 35 is divided by (7 - k) + -1 + 3?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 25792 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -540363 at most -1\/60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -114.00452 + 114. What is u rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 491967127 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 319 >= 2543\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-16)*-2)\/(((-992)\/62)\/(-1344))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 12 = x, -2*z = 3*x - 10 - 0. Let g(l) = -2*l - x*l + 3*l + 0*l. Let c(b) = 5*b**2 - 2*b - 1. Let p(d) = c(d) - 6*g(d). Factor p(m).\nAnswer: (m + 1)*(5*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/55)\/((-7)\/(-35)). Let a = 147 + -144. What is the second biggest value in 0.2, a, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**3 - 2*j**2 - 4*j + 2. Let i be d(3). Let z be -1 - ((-6)\/(-3) + i). Which is bigger: z or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16086365.\nAnswer: 5, 31, 67, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g - g + 4*g)*(2 - 11 - 6)*(g + 4 + g - 5).\nAnswer: -90*g**2 + 45*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3952 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 346*h**2 + 6018*h - 12027. Give i(2).\nAnswer: 1393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 40*q**2 - 16*q + 3. Let o(m) = m**2 - 3*m - 2. What is k(i) - 6*o(i)?\nAnswer: 34*i**2 + 2*i + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the third derivative of w**6\/960 + w**5\/160 + w**4\/96 + 2*w**2 + 16. Factor k(q).\nAnswer: q*(q + 1)*(q + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 2*f + 134 = 0, 3*f + 105 = 13*k - 16*k. Is k < -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 1.1029um?\nAnswer: 1102.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 4*w = -186. Let z = 6 - w. Is z a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1140.16376 - -0.06376. Let a = o - -1083. Let d = a - -57. Sort d, 0.5, -5, 4 in decreasing order.\nAnswer: 4, 0.5, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.16098 - -1.16098. What is the closest to n in 37, -3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 241.01 + -241.30529. What is s rounded to 3 decimal places?\nAnswer: -0.295","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -221 (base 6) to base 11\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-132)\/(-16))\/(3\/8). Suppose -2 + j = 5*k. Suppose -t - 5*f = -14, -k*t = 5*f - 51 + 10. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-seven fifths of a centimeter in millimeters?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/6?  (a) 0.1  (b) 2\/5  (c) 53  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (1391\/9737)\/(-1*2\/20)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 261*s**2 + 28*s - 464. Let h(p) = -2079*p**2 - 231*p + 3711. Let g(v) = 4*h(v) + 33*z(v). What is the first derivative of g(j) wrt j?\nAnswer: 594*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 1, r: 1, w: 1, m: 2, g: 4}. Give prob of picking 1 q, 2 g, and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 2*j + 30. Calculate the remainder when 5 is divided by k(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -6*16\/64*2\/(-3) + 3808. What is the greatest common divisor of 26 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -c - 3*j + 6, -8 = 4*c - 4*j. Suppose 3*w + 4*v - 31 = 0, -c*w + 5*v + 75 = 3*w. Calculate the highest common divisor of w and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(72) - sqrt(72))*5.\nAnswer: -90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**2\/5 + 3*l\/5.\nAnswer: -l*(l - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*q**4 - 66*q**3 + 363*q**2.\nAnswer: 3*q**2*(q - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {p: 13, h: 3, l: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26115 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -30b27 (base 13) to base 5.\nAnswer: -10300300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 3 n when four letters picked without replacement from nqqqqnqqqqnmn?\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 115\/(-10) + (-13)\/(130\/(-90))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:02 PM and 10:57 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -7*s**2 + 36*s + 6492. Is 67 a factor of d(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -75941*i**5 - 359*i**4 - 101562639*i**2 wrt i?\nAnswer: -4556460*i**2 - 8616*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - ((-4 - 1) + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 902, 886, 870, 854, 838, 822?\n\"Answer: -16*f + 918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 2*v - 25 = 2*b, 0 = -b + 5*v - 28. Let d(t) = -3*t - 7. Determine d(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2 - (5 - -2)\/(-1). Suppose 3*h = -n + 14. Suppose y - 35 = -4*z, -y + 0 + 3 = 0. Which is smaller: z or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-13 - 52*b**2 + 55*b**2 + 3)*(31*b - 18*b + 77*b) to the form l*b**2 + y*b**3 + k + t*b and give t.\nAnswer: -900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 12 = -3*o. Let p be 2\/6 + (-5)\/o. Let u(q) = 3*q**p + 9*q - 9*q. Let z(m) = -2*m**2. Calculate z(u(w)).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate s**2 - 30*s + 28.\nAnswer: 2*s - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -2*c**3 + 12*c**2 + 7*c - 8. Calculate d(6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 65633287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x + 16 + 24. Let q(m) = -59 - 2 + 11 - 7*m + m**2 + 17. Let d be q(x). Which is the nearest to 3?  (a) d  (b) 2  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65)\/sqrt(20) + 5)**2.\nAnswer: 5*sqrt(13) + 113\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b - 2*b + 10. Solve -2*p + 0 = -b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (10\/(-2))\/((7 + -8)\/1). What is z in -172*z**a - 12*z**3 - z**4 + 86*z**5 - 20*z**2 + 90*z**5 + 5*z**4 - 8*z = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/6*(3 + 6\/(-4)). Suppose 2*q - w = -3*n + 7, -2*n = -5*q - 18. Suppose -4*x + x + 3*a = -252, n*a - 8 = 0. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:57 PM and 12:36 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-90)\/612*816\/(-160)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**2 - 5*k + 4. Let z(i) = i + 7. Let d be z(0). Let q(m) = 2*m**2 - 11*m + 9. Let c(o) = d*f(o) - 3*q(o). Suppose c(a) = 0. Calculate a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*y**3 + 274 - 274 - y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {w: 1, q: 14, c: 2, n: 1, p: 1}.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/59 or 35.7?\nAnswer: 4\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 37368273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -93.87 + 0.07. Let w = 8.8 + v. Let l = w - -84.92. Is l equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-7)\/(-4) - 3\/(-12). Suppose k*r = -2*z + 4*r - 2, -5*z + 2*r - 17 = 0. Let x = 5 - z. Which is greater: 2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 - -3. Suppose -3*y - w = -48, h*y - 3*y + 5*w = -30. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -9*r + 16. Suppose -2*v - 5*z + 3469 = 0, 2*v - 2*z - 3496 = 2*z. Suppose 154 = -r*i + v. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.41806 + 0.403. Let t = p + 0.0082. Round t to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 3 = -2*i, 4*i + 128 = 4*b. Suppose -79 = -6*c + b. Suppose -2*p - 2*m - 4 = -4*m, c = p + 4*m. Solve -4*u - 2 - p = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*z - 9*z + 13*z - 6*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 132 a factor of 52129683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**3 + 8*b**2 - b - 6. Let l be u(8). Let z = 26 + l. Calculate the greatest common divisor of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10 + 7. Let v = 18310 - 18311. Put -7, -0.2, v, z in descending order.\nAnswer: -0.2, v, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 11*r**2 + 2*r + 1. Let i be v(-1). Let w = 15 - i. Let k(z) = z**3 - 5*z**2 + 6. What is the remainder when 16 is divided by k(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - 4*c + 489, 6*r - 2*r - c + 400 = 0. Let o = r + 128. Are 28 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1200)\/252840*-4859 - (2 + 21)?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the second derivative of 5*l**3\/2 - 11*l**2\/2 - l. Let f(g) be the second derivative of -7*g**3\/6 + 5*g**2\/2 - 5*g. Determine 13*f(h) + 6*m(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 47, 4 in increasing order.\nAnswer: -5, 4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, 9\/41, -4\/9 in descending order.\nAnswer: 9\/41, -2\/7, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 78832621, 315330478, 709493579, 1261321930, 1970815537, 2837974406, 3862798543, 5045287954?\n\"Answer: k**3 + 78832616*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the second derivative of -p**4\/3 - 2*p**3\/3 + 4*p**2 + 14*p. Let h(s) = 0. What is s?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k + 6*x - x + 10, -5*k = 2*x + 4. Suppose 6*y + 1 - 511 = k. Does 17 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cbcycbcybbbbbchbcb. What is prob of picking 2 b and 1 h?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-10))\/((-21)\/35)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 12 = 6*m - 3*m, 5*m = 4*k - 46. Suppose 12*c - 12 = k*c. Suppose c*j = 4*t + 164, -5*j + j = -t - 167. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + -3*sqrt(304) + -4)*-5)**2*-3.\nAnswer: -205275 + 1800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 476*j**2. Let p(k) = -k. Calculate a(p(n)).\nAnswer: 476*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.02 in 1, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 7*v**2 - 2*v + 6. Let a be 4\/2 - (-3 + 0). Let p(k) = k**3 - 5*k**2 - k. Let t be p(a). Is o(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k**3 - 13*k**2 - 39*k + 22. What is w(15)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 977 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 73.8 - -21.2. Let c = 95.0374 - j. Round c to three dps.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6899327, 6899328, 6899329, 6899330, 6899331, 6899332?\nAnswer: 6899333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 352047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, 2\/3, -1\/9, -2, -0.3, 103.\nAnswer: -2, -0.3, -1\/9, 2\/7, 2\/3, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*l**3*n**3*p + 1912*l**3*n*p + 26262*l**2*n**3*p - 16*l**2*n*p + 2*l*n*p wrt n.\nAnswer: -12*l**3*n*p + 157572*l**2*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 3*d**3 + 3*d**2 - 2*d - 6. Let k be q(3). Let r(p) = 97*p**2 - k*p**2 + 1 + 3 - 6*p. Let g be r(6). Solve 4*z - g*l = -4, l = z + 2*l + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -51427290 to the nearest 100000.\nAnswer: -51400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (9\/7)\/((-7)\/(-21)*4) and 13\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 90, -14, 1 in ascending order.\nAnswer: -14, -6, 1, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 426 is divided by 48.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14640.98 - -14641. What is the fifth smallest value in -0.1, 2, j, 2\/65, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30221000 (base 4) in base 11?\nAnswer: 3599a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1896 in 1, -1, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1020 (base 4) to base 2.\nAnswer: 1001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1655 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.137 in 2\/7, -4, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes after 9:30 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4852.089 nanoseconds in days?\nAnswer: 0.0000000000561584375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 1. Let u(k) = k**2 + 2*k - 16. Let i(n) = u(n) - 5*x(n). What is the least common multiple of i(-6) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16\/(-12))\/((6*77\/(-198))\/(-35))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 4071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 416*p + 912 = 440*p. Which is the smallest value?  (a) 1  (b) p  (c) 1\/3  (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -73*y + 10*y + 19*y to the form x + z*y and give z.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 580\/6*143\/(-286)*(24\/(-50))\/4?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r + 1. Let p(j) = -8*j - 8 - 19*j**2 + j**2 + 6*j**2 + 11*j**2. What is 5*p(q) + 40*x(q)?\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -136788 divided by -4.\nAnswer: 34197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 - 0 - (0 - -4). Let i(l) be the first derivative of l**4\/4 + 4*l**3\/3 - l**2\/2 - 4*l + 2. Let k be i(x). Sort k, -2, -4 in decreasing order.\nAnswer: k, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/9*4)\/(((-3)\/45)\/(2608\/(-52160))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 + 8*s**2 - 6*s + 51. Let x be o(8). Suppose x*t - 50 = -2*t. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-3)\/(-1))\/(-3) + 4. Let j(s) be the second derivative of 0 + 3*s + 1\/6*s**2 + 1\/9*s**i + 1\/36*s**4. Factor j(c).\nAnswer: (c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -e79 (base 16) to base 5.\nAnswer: -104310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 272223525 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the second derivative of -z**4\/12 - z**3\/2 - 27*z**2\/2 + 19*z. Let f be g(-14). Let s = 294 + f. Calculate the remainder when s is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 53*s + 1754 - 1764 - 437*s - s - 2 + 2 + (-1 + 3 + 0)*(2 - 2 + s).\nAnswer: -383*s - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1072\/201*(-3)\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 325\/35 - (-4)\/(-14). Calculate the highest common divisor of f and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2525 from 279.\nAnswer: 2804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jbccbccccbcm. Give prob of sequence jbbc.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/6, 4\/7, -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 21.7\nAnswer: 20.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*t + 33 = -4*f - 77*t, -15*t = -20*f - 10*t - 95 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.02 * -1638\nAnswer: 32.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 133\/222 and -121\/203130?\nAnswer: 203130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 70621949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*o**5 + 42832*o**4 - 599304*o**3 + 1027108*o**2 + 4023466*o + 2354220 = 0. Calculate o.\nAnswer: -1, 5, 11, 21402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1356818130.\nAnswer: 2, 3, 5, 43, 229, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5987409*a**2*l**3 + 9*a**2 - 91*a*l**2 + 680 wrt l.\nAnswer: 35924454*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 169838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:50 PM and 8:02 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10 - -7. Sort p, -5, -8 in decreasing order.\nAnswer: p, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.3 - 1.54. Let u = l + 0.44. Let a = 1.5 + -1. What is the biggest value in 4\/5, u, a?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kddp when four letters picked without replacement from {k: 4, d: 2, p: 8}.\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 - -3a13a?\nAnswer: 3a136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-8)\/(-10)*(-35)\/(-14). Let i be (4\/(-1))\/(0 + n). Let j(p) = -6*p + 4. What are the prime factors of j(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2)*(5 - 2 - 4)*(4 - 1 - 1)*(1 - 2 + 2)*((-29 - 294 - 68)*(0 + f + 0) - f - 4 + 4).\nAnswer: 1568*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54 = 4*m - 46. What is the common denominator of 151\/12 + m\/(-12) and -15\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 48*l - 5. Let u = 37 - 35. Is b(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*f**3 - 694165830*f + 694165830*f + 71*f**2.\nAnswer: -3*f**3 + 71*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -7*v - 5. Let i(h) = 2*h**2 + 6*h - 2. Let u be i(-3). Let w be b(u). Solve -4*q = -w*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:45 PM and 9:30 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2717 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -3*r**2. Let x(g) = -2*g**2 - g + 1046720. Determine x(v(d)).\nAnswer: -18*d**4 + 3*d**2 + 1046720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/8*(-6)\/4. Let m = -130 - -125. Which is the biggest value?  (a) z  (b) -2\/5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k = -5*v - 40, -k - 4*v - 144 + 132 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1927 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -1204*b + 9966. What are the prime factors of r(-29)?\nAnswer: 2, 22441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.06+743\nAnswer: 742.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -2*m**3 + 15*m**2 - 24*m + 17. Let p(z) = -z**3 + 7*z**2 - 12*z + 9. Let r(a) = 3*k(a) - 5*p(a). Is r(8) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.98, 413, -211, 1 in ascending order.\nAnswer: -211, 1, 1.98, 413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 + (-1)\/(-1)*5. Suppose 2*b - 4698 = -w*b. Let n = b - -113. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -713*z - 856*z - 3683 = -1442*z for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 10*h - 6*h. Let z = h - -12. What is the highest common factor of z and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -105, -107, -111, -117, -125, -135?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 16456.84 microseconds?\nAnswer: 0.01645684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 4, 27, 76, 163, 300, 499, 772?\n\"Answer: 2*y**3 + y**2 + 6*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/(-14) + (-864)\/(-63). Suppose -u - 2*q = 4*u + 70, -25 = 5*q. Let r = u + 19. What is the highest common factor of m and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8848, 8436, 7774, 6868, 5724, 4348?\nAnswer: 2746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*m**4 - 5*m**4 + 2*m**4 - 4*m**4 - 4*m**2 + 4*m**2 + (-3*m**3 - m + m)*(4*m - 3*m - 3*m).\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -1*15930616\nAnswer: -15930616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c + 0*c + 2*c)*(-34 + 18 - 17)*(9 - 5 + 7)*(-2 + 5 - 2).\nAnswer: -726*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19 + 65 - 44*u - 26 + 62*u - 80*u - 20.\nAnswer: -62*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -240 - -282. Let h(r) = r**3 - 43*r**2 + 44*r - 79. Let o be h(s). Solve -o = -19*t + 18*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**2 + 7*f - 6. Let d = 4 + -12. Let y be i(d). Suppose -5*a + 0*a = y*s, -5*a = s. Is a greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-7)\/(-2) - (-6)\/4. Suppose d*p = -4*y + 238, 4*p = y - 39 + 221. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000662 rounded to 7 dps?\nAnswer: 0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -42 + 191 - 71 - 114\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 2*x**3 - 7*x**2 + 244*x - 1190. Calculate u(5).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6427 (base 13) to base 9.\nAnswer: 21044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 170932999277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 j when three letters picked without replacement from bbbbbbbbjbjbbbj?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -1370 at least as big as -9592\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(448) + 5)**2 - sqrt(448)) + -1 + (sqrt(448) + (sqrt(448) + 0 + -5 - sqrt(448)))**2*6 + -4 + -3.\nAnswer: -568*sqrt(7) + 3303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 - -229.7?\nAnswer: 251.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-149 - 9*o + 149)*(-4*o**3 - 11*o**3 - 2*o**3).\nAnswer: 153*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add 1.318 and -3666022.\nAnswer: -3666020.682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7028 - -3341. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(209) - (-1*sqrt(209) + sqrt(209))))\/((-1*sqrt(77) - sqrt(77))\/sqrt(7) + sqrt(11)) + 1.\nAnswer: -3*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + 240 = -5*o + 266, y + 4*o - 31 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(192)\/(sqrt(8)*2))\/(-1*sqrt(1452)) - (sqrt(1078)*-1)\/((sqrt(176) + sqrt(11))*-4)).\nAnswer: -87*sqrt(2)\/220 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -48 and -5.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -112 by -14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.7 - 15.7. Let y = -4.3 + 22.3. Let t = u + y. What is the smallest value in t, -4, -0.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 260976.\nAnswer: 2, 3, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * 14.2.\nAnswer: -5.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -50?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 7\/1*4\/(-20)*5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*o**4\/11 + 14*o**3\/11 + 54*o**2\/11 + 58*o\/11 + 20\/11 = 0. Calculate o.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**3 - 44*u**2 - 93*u + 51. Let w be l(46). Let m(a) = -a**3 + 6*a**2 + 9*a - 14. What is the tens digit of m(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -423, 116, 655, 1194, 1733?\n\"Answer: 539*w - 962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(2\/7)*w*w)**(-2\/107)\/(w**(-3)*w)**24 assuming w is positive.\nAnswer: w**(35906\/749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 567*u**2 + 2823*u - 75. What is n(-5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.195 - -0.105. What is the closest to 4\/7 in i, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.36 to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (281 - 117 + 386 + 451)*(-2 + i + i - 5*i) to the form h + k*i and give h.\nAnswer: -2002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 14\/6 + (-2)\/6. Let z(q) = 2*q**2 + 1. Let m be z(1). Find the third derivative of -s*h**3 + 2*h**m + 2*h**5 + 3*h**2 wrt h.\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -19*f**2 - 3*f - 2. Let h(g) be the third derivative of -3*g**5\/20 - g**4\/24 - g**3\/6 - 4*g**2 - 244*g. Calculate 9*h(x) - 4*n(x).\nAnswer: -5*x**2 + 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*f - 14*f + 13*f - 8400 = 0. Sort -4, 1, f.\nAnswer: -4, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 154 divided by 6.\nAnswer: 77\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 22785525 a multiple of 1173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*j + 2*j - 2*j - 3*j - 2*j + 3*j - 4*j + j - j + (3 - 3 + 2)*(-j + 7*j - 4*j) - 2*j - 1 + 1.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a - 7*a + 52. Let b = -32 - -39. Suppose b*l - 1716 = l. What is the greatest common divisor of a and l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3685178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 187\/20 + -39\/4. Let x = 1\/5040 + 3359\/5040. Let j = 178 + -3917\/22. Which is the closest to f?  (a) x  (b) j  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 32947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000001313 rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**3 + 5*y**2 + 6*y + 3. Let z be b(6). Suppose -z*w + 201 = -0*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q = 1, -4*q + 18 = -5*z + 49 + 93 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**2 - 9*p - 9. What is the least common multiple of z(-6) and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 167751*k**2 + 68*k + 72.\nAnswer: 335502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1590824116.\nAnswer: 2, 7, 29, 193, 10151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -169, -341, -511, -679, -845, -1009, -1171?\nAnswer: -1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 2 + 10 + 6 + 25*s - 84*s - 16. Let c(w) = 5*w**2. Give v(c(n)).\nAnswer: -295*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 5*i - 42 = -3*i, 4*c = 3*i - 201. Let j = 53 + c. Suppose -r + 52 = z, 0 = z + 2*z + j*r - 154. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 171708541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - n - 1 - 62 = 0, -2*n = -l + 36. Suppose -6*d + l = -d. Factor -d*i + i**2 + 2*i + i + 2.\nAnswer: (i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 3265*l + 134. Let k(s) = -3*s - 21. Calculate v(k(p)).\nAnswer: -9795*p - 68431","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (1672\/(-28))\/11 + 6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -124 + 127. Which is the closest to 2\/9?  (a) -0.3  (b) -0.2  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 17, 30, 43, 56?\n\"Answer: 13*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 40 = -9*b. Let g be (72\/16 + b*-1)*10. Suppose 0 = g*f - 4*c - 40, -6*f = -3*f - 2*c - 22. Solve -5*t - 11 = 3*v, 3*t = -f*v - 5 - 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5929 - 2*c**2 + 13*c + c**2 + 5932 - 51*c + 2*c**3 as a*c**3 + x*c**2 + b*c + k and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**3 - 28 + 13*u - 16*u - 9*u + 28*u**2. Let v be i(15). Suppose v = 7*h - 28202. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 10*k**5\/3 - 176*k**4 + 10150*k**3\/3 - 28792*k**2 + 315640*k\/3 - 119616 = 0.\nAnswer: 2, 7, 8, 89\/5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 7:02 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2410, -3901, -5380, -6841, -8278, -9685, -11056?\n\"Answer: g**3 - 1498*g - 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(245))*5 - (-5 + (sqrt(245) - (sqrt(245) - (sqrt(245) + -2)**2)))) + 2.\nAnswer: -232 + 63*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.62 + -1.06. Let w = i - -1.783. What is w rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.036317 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, k: 1, u: 4, s: 2, m: 1}. What is prob of picking 2 s and 2 n?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/204 and -121\/2343090?\nAnswer: 79665060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -51, -2\/9, 3, 1, -370544?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 51*a**2 - 5*a**2 + 38*a**2. Let p = 25 - 24. What are the prime factors of o(p)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -335059 and 35.942419.\nAnswer: -335023.057581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1065330 divided by -5?\nAnswer: 213066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes after 8:39 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -47 - -75. What is the remainder when 55 is divided by i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 446505 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*j**2*l**3 - j**2*l + 2*l**3 - 16*l**2 wrt j?\nAnswer: -6*j*l**3 - 2*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -214302431311 + -3?\nAnswer: -214302431314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -21, 2.1, 0, 5691?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes before 6:07 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -37644.3 - -37644. What is the closest to 0.06 in q, -5, -16\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 9063 = -m, -2*m + 3*l = -l + 18138. Let o = m - -199511\/22. Calculate the common denominator of o and ((-166)\/(-10) + 0)\/4.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -652 - -9784\/15. Let o(b) = b**3 + 3*b**2 + b - 29. Calculate the common denominator of f and o(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p = 10*c + 576 - 682, 0 = 3*p - 5*c + 61 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the first derivative of 1\/2*y**2 - 1\/2*y**4 + 0*y**5 + 0*y + 20 + 0*y**3 + 1\/6*y**6. Factor g(v).\nAnswer: v*(v - 1)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 4232 = -w - w, 10 = 5*w. Let v = r - 1899. What is v rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 518744 and 6100?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 7*g + 3. Let y(u) = 20*u + 8. Let c(n) = 8*p(n) - 3*y(n). Let o(b) be the first derivative of 0*b + 48 + 2\/3*b**3 + 0*b**2. What is o(c(s))?\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 637 and 728.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 127*o = 138*o - 4191. Calculate the smallest common multiple of o and 12.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 + 8. Let f = t + -3.5. Let m = -0.0422 + 0.2422. What is the second biggest value in f, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 minus -112.849?\nAnswer: 112.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2996000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -48, -62, -76, -90, -104?\n\"Answer: -14*j - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 221023?\nAnswer: 11, 71, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2044*l - 2044*l - n = -2, -15*l - 5*n = -5*l - 60 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.1 - 0.4. What is the closest to p in -1, 2\/25, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1178, 2354, 3528, 4700, 5870, 7038, 8204?\n\"Answer: -o**2 + 1179*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(128) + sqrt(50)*1.\nAnswer: 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:23 PM and 11:11 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 27*b**2 + 1795*b + 3565. Determine x(-2).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4306 divided by 4306?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (6\/8)\/(9\/(-6)). Let g = 1.47 - -0.03. Let u = g - 5.5. Which is the biggest value?  (a) n  (b) u  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3 - (-1 + -4) - -2. Suppose -11 = -4*t + 3*t. Let m be 8\/44 - 2\/t. Solve w = -5*c - 2*p, 2 = -p - m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-6*-2*sqrt(99) + -5) + -3.\nAnswer: -13 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((-1 + sqrt(153))**2 + -3) + (sqrt(153) - (sqrt(153) + (1*sqrt(153) + sqrt(153))*-5))*-3.\nAnswer: -96*sqrt(17) + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*u + 111 = -45 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2154233 decades to months.\nAnswer: 25.850796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 140397, 561505, 1263347, 2245923, 3509233, 5053277?\n\"Answer: 140367*j**2 + 7*j + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 958\/(-1473) + (52\/39)\/2. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the first derivative of q**4\/4 - 2*q**3 + 2*q**2 + q - 2. Let j(x) = -x**2 + 39*x - 373. Let p be j(21). Give l(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 30 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 65, -240, -122, -1, 4 in decreasing order.\nAnswer: 65, 4, -1, -2, -122, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**4 + 2*y**3 + y**2 - y + 1. Let v(x) = -6*x**4 - 8*x**3 - x**2 + 62*x - 4. Let b(o) = 4*u(o) + v(o). What is the second derivative of b(g) wrt g?\nAnswer: -24*g**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 329.9712 millilitres in litres?\nAnswer: 0.3299712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i + 0*i + 0*i)*(4 - 9 + 2)*(-4 + 36 - 13).\nAnswer: 57*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17 + 9 + 42*r - 26)*(1 - 4 + 0).\nAnswer: -126*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**4 + l**3 - l**2 + l + 1. Let t(s) = -15*s**4 + 4*s**3 - 4*s**2 + 4*s - 20. Let r(b) = 4*f(b) - t(b). Find the first derivative of r(v) wrt v.\nAnswer: 44*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 3*u. Let p(k) = k**2 + 5*k. Let v be p(-5). Let d be 6\/(-4 + 1) + v. Let q(w) be the first derivative of -2*w**2 - 1. Give d*q(s) - 3*y(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -63 - -63.4. Put -3, -5, -0.3, f in descending order.\nAnswer: f, -0.3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (66\/(-88))\/(2\/112). Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -228 from 643363.\nAnswer: 643591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (476\/525)\/17*(-140)\/(-56).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 632335.\nAnswer: 5, 11, 11497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -3*d**2 - 4797*d - 1314144 = 0.\nAnswer: -1248, -351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*u**2 + 4*u + 19*u**2 - 7*u**2 + 3*u to the form n*u + o + r*u**2 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 2*w - 7. Let b be o(4). Suppose 0 = 2*r - r - 2. Suppose 5*y - 4*h - 21 = 0, 2*y = 2*h + r + 6. Sort y, b, 0 in decreasing order.\nAnswer: y, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000427223 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 205 is divided by 70.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-12)\/(-15))\/((-28)\/(-4690)). Let s = 137 - b. Let m(i) = 3*i**2 - i + 4. Give m(s).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -5*g**3 + 4016045*g**2 - 12048100*g + 8032060 = 0.\nAnswer: 1, 2, 803206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is e (base 16) in base 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -13*u - 3. Let v be w(-3). Let h = 20 + -8. Calculate the highest common divisor of v and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0722 times -201350\nAnswer: -14537.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 118\/(-4)*(5 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24992800 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/7 of a week in days?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1732242409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 366 - 175 + 10*s - 194.\nAnswer: 10*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13.97 + 8.5. Let y = -1.47 - l. What is the third smallest value in 0, 3\/7, y, 0.2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.29104+61\nAnswer: 60.70896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1996.6549 - 2004.654903. Let b = z - -8. Round b to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) 298  (c) -3\/7  (d) -3  (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000851605355 rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*v + 829 = 181. Suppose -4*c + v - 42 = 0. Solve 0 = -c*j - j - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 208*h**3 - 65*h - 1?\nAnswer: 1248*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3191 - 3202. Let c(o) = -2*o**2 - 2*o + 2. Let m be c(-2). Put m, 2, d in increasing order.\nAnswer: d, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1296) - (sqrt(1296) + (sqrt(1296)*-1 - sqrt(1296))*5))\/(sqrt(64)\/(sqrt(1152) - (sqrt(1152) - sqrt(1152)*2))) + 3.\nAnswer: 3 + 2160*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2512.16992 + -5843?\nAnswer: -3330.83008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 217  (b) 0.01  (c) 2\/427\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 52753713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 2991911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 163*t**3 + 8*t**2 + 4*t. Let k(w) = -20374*w**3 - 1002*w**2 - 501*w. Determine -501*h(y) - 4*k(y).\nAnswer: -167*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22*(-274)\/6028*77*-1.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wfmimyfiiwyvmifiifm. Give prob of picking 2 f and 1 v.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -5*v**2. Let x = -1 + 4. Suppose x*o + 7 = -2. Let g be 1\/o - (-12)\/(-18). Calculate n(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 199975 (base 10) to base 5.\nAnswer: 22344400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 24, -2, 14, 1, -4 in ascending order.\nAnswer: -4, -2, 1, 14, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 2*w**2 + 903*w - 20818. What is n(22)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 3*y. Let t(o) = 2*o. Let u(b) = -5*r(b) + 7*t(b). Let c(n) be the second derivative of -n**4\/2 - 2*n. What is c(u(v))?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -723 + 723 + y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the third derivative of -5*l**8\/112 - l**7\/105 - l**5\/60 + 7*l**4\/4 + 3*l**2 - 5. What is the third derivative of o(c) wrt c?\nAnswer: -900*c**2 - 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*c - c + 2. Let l be 455\/990 - c\/11. Let h = -5\/9 - l. Is 0 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -132*h**3 + 112 wrt h.\nAnswer: -396*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19\/2 - -9. Let w = 95\/78 + 3\/26. Which is the nearest to f?  (a) 5  (b) 1\/5  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 140*q**2 + 14*q + 20. Give x(3).\nAnswer: 1322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c + 13. Let h be z(-9). Suppose -3*f = -h*f + 44. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 278 is divided by 194?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jex when three letters picked without replacement from {x: 1, e: 7, j: 6}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 56\/42 - (-2)\/(-6). Let t be 25\/4 + (-5)\/20. Let h be 4\/t*12\/8. Let r(o) = -2*o + 1. Let z(s) = -s - 1. Give h*r(a) + m*z(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -10*r**3 + 7 + 11*r**3 - 1 - 3*r - 8. Let j be 96\/9 - (-2)\/(-3). Suppose -2*z + j = -7*z. What is w(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**2 - 5*r + 4. Suppose 0*a + a = 4. Suppose 6*g = a*p + 2*g, -4*g = -16. Give z(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*c + 11 + 37. Calculate the highest common factor of 56 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -278946553\/774 + 360396. What is the common denominator of 11\/1118 and v?\nAnswer: 10062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -2*g**2 + 19*g + 10. Let m be f(10). Let t be (-4)\/((-8)\/(-6)) + -2. Put 3, t, m in decreasing order.\nAnswer: 3, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2672351 and 913.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9, 10, 43, 90, 151, 226, 315?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 52\/645 and 29\/975750.\nAnswer: 41957250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 17*n - 12528. Suppose q - 4*q + 3*l = -n, 0 = 2*q + 4*l - 546. What are the prime factors of q?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes before 7:19 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 474811.8ml in litres?\nAnswer: 474.8118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 109 + -103. Suppose 46 + 122 = 4*i. What is the greatest common factor of i and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.1 + 1.9. Which is the nearest to 0.1?  (a) 0  (b) d  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = o + 98, 0 = -2*q + 4*q - 3*o + 58. List the prime factors of q\/(-14) + 4\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = t - 0. Let y be (-2)\/7 - (-8)\/(-21). Let f = -1.95 - 0.05. Which is the closest to t?  (a) f  (b) y  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + 15 - (81 + -43)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**3 + 1889*l**2 + 117040*l + 438000.\nAnswer: (l + 4)*(l + 60)*(l + 1825)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 21 = 4*h, -2*h + 5*d = -35 + 8. What is the third derivative of -27*u**2 + 16*u**2 + 28*u**h + 18*u**2 wrt u?\nAnswer: 3360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -206 - 261 + 692 + 91*z - 279 in the form u + f*z and give u.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than -14\/1625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 77*n - 133. Let a(q) = 47*q - 89. Let c(l) = -8*a(l) + 5*p(l). Suppose 0 = 6*r - 3*r + 15. Let b be c(r). Solve -b*k + 12 = 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 6*r - 3*r. Suppose -176 = -r*o - 50. Does 21 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, c: 4, d: 3}. What is prob of sequence bdcd?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4877927*v - 2438964*v - 2438963*v - 20*v**2.\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 8) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4\/(-2)*(-86)\/(-48) and -31\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57486697.\nAnswer: 73, 787489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j - 5*n + 834, -810 = -5*j + 3*j + n. Let i = j - -2744. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(13)*-2 + 1 - sqrt(13)) + sqrt(13) + 1 - ((sqrt(1573) - sqrt(1573)*-3) + 5 + sqrt(1573))) + -1 + -3)**2.\nAnswer: 798*sqrt(13) + 42286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.96 in 3, 0.1, -54, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3854\/5 - 770. Find u such that 0*u + 0 - 8\/5*u**3 + r*u**2 + 8\/5*u**5 - 4\/5*u**4 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11 by -16.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 26\/4 - ((-2220)\/(-24))\/37. Sort -127, m, 5, -5, -4 in descending order.\nAnswer: 5, m, -4, -5, -127","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**2 - 10*k + 27. Let i be v(6). Suppose 1175 = 4*d + d + 5*b, 0 = -b - i. Let t = 478 - d. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 4113.398 micrograms?\nAnswer: 4.113398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2073?\nAnswer: 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - -10) + (2 - (-1 - -6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = d + 9. Let h be ((-2)\/d)\/(1\/5). Let r(s) = 36*s - 2. Let x be r(h). What is x rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01 plus 18115126256?\nAnswer: 18115126255.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1306402 + -61?\nAnswer: -1306463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-9)\/(-12)*-2*-2. Suppose -5*x = -2*i + k*i + 24, 8 = -4*x + 2*i. Let w be (22\/x)\/(2\/(-4)). Which is smaller: 9 or w?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1783632 centuries in years?\nAnswer: 17.83632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 - -0.5. Let g = -1.2 + 1. Let c = g + x. What is the second smallest value in -1, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -6  (b) 8  (c) 0.2  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from {i: 2, t: 10}.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v + 1. Let z(k) = -6. Let h(a) = 2*c(a) + z(a). Let n be h(3). Is 6\/4 + (-855)\/n a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23533 is divided by 79.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from fcxccccccfxcxx.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 7, k: 7}. Give prob of sequence ke.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/798 and 47\/210.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.1  (b) -1\/3  (c) 2\/29  (d) -427  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19*y**2 + 7*y**2 - 11*y**2)*(y**2 - y**2 - y**2) + 7*y**4 - 3*y**4 + 2*y**4.\nAnswer: 29*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(44)\/(sqrt(4) + sqrt(28)\/sqrt(28)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 481.4 and -5.\nAnswer: -2407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*y**3 + 18*y**3 + 76376*y**2 - 76360*y**2.\nAnswer: y**3 + 16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 72460800 to the power of 1\/3, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u + 1. Let a be 2*4 - (-14 + 12). Suppose -15*s - 3*q = -a*s + 23, -4*q = -s. Let x(v) = -13*v + 2. Determine s*c(l) + x(l).\nAnswer: -9*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -32 + 34. Let m(z) = -c*z**2 + 5*z + 5*z - 10*z. Let v(g) = -35*g**2 + 4*g - 4. Let k(j) = j**2 - j + 1. Let a(n) = 4*k(n) + v(n). Determine a(m(y)).\nAnswer: -124*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1318 + 1388. Calculate the highest common factor of 60 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -67623, -67597, -67571?\n\"Answer: 26*l - 67649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-5)\/((-75)\/(-60)))\/(-4))\/(2\/(-16)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/14*3)\/(240\/(-320))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h - i + 530, -4*h - 162 - 262 = -3*i. Let u = h + 60. Calculate the common denominator of -89\/18 and (3\/(-24))\/(3\/u).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50446760 to the power of 1\/2, to the nearest integer?\nAnswer: 7103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ad when two letters picked without replacement from fpabdffffdpd?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and 288377.\nAnswer: 86513.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3.59 in 1\/5, -3\/7, -3\/4, -3, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i + 4. Suppose 3*z + 39 = -3*d, d = -0*z - 2*z - 30. Let f be n(z). Let l = 25 - f. Solve -4*v - 10 = -3*t, l*t = 4*v + 7 + 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 10683 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:55 AM and 12:31 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**2 - v. Suppose 6 = -11*q + 10*q. Let k(n) = -5*n**2 + 8*n - 1. Determine q*a(r) - k(r).\nAnswer: -r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3, 2, 0 in ascending order.\nAnswer: -4, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -286, -574, -862, -1150, -1438, -1726?\nAnswer: -2014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 88540 divided by 4\nAnswer: 22135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -1\/766?\nAnswer: -1\/766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8680 + 8686. Let q(s) = -s**3 + 6*s**2 - 4*s + 9. Calculate q(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:36 PM and 11:58 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 divided by 5617?\nAnswer: -6\/5617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 238 - 38 = -4*q, 3*n = 4*q - 296. What is the remainder when q is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.06823+-1047\nAnswer: -1047.06823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -72 by 18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 5*l + 582. Let g be (-6)\/24 + l\/(-8). Suppose 4*k**3 - 4 - 28*k + 4 + g*k = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cckczfkzfgfgc. What is prob of sequence zfkg?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 30\/4*48\/36. Find the third derivative of a*k**3 + k**4 + 98*k**2 + 68*k**2 - 205*k**2 wrt k.\nAnswer: 24*k + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 240 - 225. Suppose -5*m = 3*y + t, 15*m = 17*m + 5*y + 25. Solve -q - 2*r = 0, -r = q - m*r - 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -321, -654, -993, -1338?\n\"Answer: -3*u**2 - 324*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 187509?\nAnswer: 3, 7, 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 141457.8057 to the nearest one thousand.\nAnswer: 141000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -140.7 - -147. Let f = -3.3 + j. Sort f, -0.1, 2\/11 in increasing order.\nAnswer: -0.1, 2\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 2 e when four letters picked without replacement from eeeneeeeeeeneeennen?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-2\/3)*d)**(-1\/7)*(d**(-2\/5)*d)**(-2) assuming d is positive.\nAnswer: d**(-131\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 502 divided by 124740?\nAnswer: 251\/62370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 4*l - 40. Let i(k) = -k**2 - 17*k + 157. What is -2*i(o) - 9*z(o)?\nAnswer: 2*o**2 - 2*o + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 21 and (4 + -82)\/(-4 + 2)?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 13) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6806 rounded to the nearest one hundred?\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 8720978 to the power of 1\/3, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 134*f. Let i(s) = -4*s**2. Give i(b(h)).\nAnswer: -71824*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**3 - 37*t**2 - 31*t - 252. Calculate r(37).\nAnswer: -1399","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 h, and 1 i when three letters picked without replacement from ihhyyk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 - -9. Suppose -l*x - 2*x + 84 = 0. Let j = -13 + x. Solve j = 2*b - 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in 1\/3, -1619, -1228?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 20 - 16. Let k = 1 + -2. Let s = 0.6 + k. Which is the second biggest value?  (a) -2  (b) d  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 219808 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 2*s**3 - 3*s**2 - 1045*s + 6792. Determine x(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2232 - 2*v**2 - 5173 + 2593.\nAnswer: -2*v**2 - 348","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -43*z**3 - 2*z**2. Let r be y(-2). Suppose r + 343 = 7*x. List the prime factors of x.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 9\/(-9)*(2 + (-25)\/(-5)). Sort 6, -5, j.\nAnswer: j, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -16?  (a) 107  (b) 0.5  (c) -1\/3  (d) -61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 23510 = -5*w, 3*w = -m + 10783 + 3323. Calculate the remainder when w is divided by 224.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**3 + 79*s**2 + 1020*s + 250. Determine f(-11).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2932 - 763 = -25*s - 320. Is 101 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:10 AM and 8:12 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rvk when three letters picked without replacement from {m: 1, r: 4, v: 3, z: 6, k: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -3*k**3 + k**2 + 4*k - 6. What is g(3)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 106 - 41. What are the prime factors of a?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 96 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - 2 = r. What is the nearest to -0.1 in r, 6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/(-10)*39\/26. Which is the closest to 2?  (a) 4  (b) q  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17577 and 107163.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 10 = -0*z. Let j be (8\/(-5))\/(32\/(-30) + 58\/87). Let 4*y + 8 - y - j*y**z + y + 0*y**2 = 0. What is y?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1461 - 426. Calculate the highest common factor of l and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/7  (b) -5.3764  (c) -2  (d) 1\/2  (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = -2*q + 64. What is the highest common divisor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8521 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9\/13 + 19\/65. Sort 0.3, p, 1 in ascending order.\nAnswer: p, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 10*t**2 - 1. Let o be j(-1). Solve 3*x - 18 = 5*m, 2*m = 6*x - 3*x - o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**(-7)*u**(-3\/4)\/u*u)\/(u*(u*u*u\/(u**(1\/6)*u*u))\/u*u*u)**3)**(-24))**18 assuming u is positive.\nAnswer: u**7020","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are -2092\/23651 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 54390, 54393, 54396, 54399, 54402?\nAnswer: 54405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes before 10:29 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1*(-1 + -1)*129\/86. Let v be 2\/3*6\/(-10). Put p, 2\/9, v in decreasing order.\nAnswer: 2\/9, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (204\/(-17408))\/((-1)\/(-4)). Suppose g + 7 = -5*z - 7, 14 = 2*g - 4*z. Is g >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -2\/15*g**3 - 64\/15*g + 64\/15 + 4\/3*g**2 = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -92334 * 1.\nAnswer: -92334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/2*(-7 + 213\/3). Let p be t\/(-12) + 4\/3. Suppose 3*b = p*k - 26, 2 = 4*k + 2*b - 14. Solve 3*g = -l - 3 - 4, -k*g + 4*l - 6 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/4 or -244573?\nAnswer: -244573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 - 32. Let x = -294 - v. Let d = -113 - x. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4\/(((-10)\/(-5))\/(-2)))\/(-2). Solve -5*v + 5 = -u, 4*u = z*v + 2 - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 146428 (base 9) in base 7?\nAnswer: 523304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-75)\/18900*1834)\/((-1)\/18).\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 6 = -12. Let v be 60\/45*s\/4. Suppose v - 92 = -2*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3212301311012 + 10?\nAnswer: 3212301311022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1452 a factor of 10039128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15, -14, 1, 36, 97, 190, 321, 496?\nAnswer: 721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1372 + 1375. Let f(h) be the second derivative of -1\/4*h**4 + h**a + 0*h**2 + 0 + 5*h. Factor f(l).\nAnswer: -3*l*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 23 + 61. Let a be z\/(-30)*(0 + 5). Let f be 378004\/a + (-6)\/(-21). Round f to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.1493 to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 79651392 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 - 3790679254.\nAnswer: -3790679253.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 532212051?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 32 + c**2 + 3*c**3 + c**2 - 7*c**2 + 3*c**2 to m + u*c + b*c**2 + s*c**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes before 10:42 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -4878, -9762, -14648, -19536, -24426, -29318, -34212?\n\"Answer: -m**2 - 4881*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 at least -1578918?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**2 + 4*r - 5. Let s be j(-5). Suppose -3*v + 40 = 5*k, -k - k - 5*v + 35 = s. Solve k*d = -0*d - 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (-4 - (-19 - -7)) + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes before 7:04 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9 - -4. Let y = 16997\/5 + -3399. What is the nearest to y in 5, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/7  (b) 13  (c) -1\/5  (d) -11.3  (e) -2\/7  (f) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-1224)\/2550)\/(1392\/600)\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 - 3. Let p = 2 - b. Suppose -5*n - 5*z + 125 = 0, 22*z - 21*z = 0. Solve 5*s + 3*u - n = -p*u, 4*u = -5*s + 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13811909, -27623757, -41435605, -55247453, -69059301?\nAnswer: -82871149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkj when three letters picked without replacement from {k: 12, j: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*i + 47*i + 27*i)*(-5*i**4 + 2*i**4 + 5*i**4) - 5*i**5 + 2*i**5 + 4*i**5.\nAnswer: 129*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -6688.131*-13\nAnswer: 86945.703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 557020 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 + -1220010002?\nAnswer: -1220010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 78735 by 6.\nAnswer: 26245\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 236, 381, 552, 761, 1020, 1341?\n\"Answer: 2*c**3 + c**2 + 128*c + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((sqrt(637) + 3)*2*1 + 3 + 2))**2*3*1.\nAnswer: 33264*sqrt(13) + 288252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*k + 28 = 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**2 - p + 1. Let j(z) = -2*z**2 + 7*z - 3. Let m(g) = j(g) + 6*v(g). Let t(c) = -5*c**2 - c - 4. What is 6*m(r) + 5*t(r)?\nAnswer: -r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = m + 265, q + 4*m - 177 = -49. Differentiate -q - 5*u + 0*u + 2*u + 142 wrt u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11048 + -11038. Let o(q) = q**3 - 10*q**2 - 19. Give o(m).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 766609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 6 = 22. Let m be ((-48)\/9)\/(w\/(-6) + 0). Solve -5*a = 5*y, -a + y + m = 4*y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q + 3*d + 15, 2*d + 2*d = 3*q - 20. Put 4, -3, -1, q in descending order.\nAnswer: 4, q, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/10*310\/(-93)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1010 or 6078?\nAnswer: 6078","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + w - 5)*(1 + 7 - 13).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -39616, -39247, -38878, -38509?\n\"Answer: 369*q - 39985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 17*j + 131. Let k(s) = 1050*s + 8115. Calculate 125*c(b) - 2*k(b).\nAnswer: 25*b + 145","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the second derivative of i**7\/2520 - i**4\/6 - i. Let l(v) be the third derivative of q(v). Let r(s) = -2*s. What is l(r(u))?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**2\/5 - 206416*j\/5 - 35769826\/5.\nAnswer: 2*(j - 103381)*(j + 173)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27577942?\nAnswer: 2, 7, 461, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 PM and 6:06 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x\/(x*x**(2\/17)*x)*x*x*x**(-3\/4)\/x)\/((x\/x**(1\/9))\/x)**(-38) assuming x is positive.\nAnswer: x**(-2503\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7 - -7. Let a be (-6)\/9 + r\/(-1). Suppose -4*q + 8 = -6*q. Which is smaller: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 5, -3\/5, -0.1.\nAnswer: -3\/5, -0.1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 - ((-1)\/(-16))\/(81\/1296). Suppose -2*g = -5*g. Factor 3\/5*t + 3\/5*t**4 + 9\/5*t**3 + 9\/5*t**p + g.\nAnswer: 3*t*(t + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21)\/(-126)*(45 + -3 + 8 + -8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 2*g**4\/13 - 24096*g**3\/13 + 649236*g**2\/13 - 1226192*g\/13 + 601050\/13 = 0.\nAnswer: 1, 25, 12021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 + 2*b + 0 + 0 + 2*b + (-b - 4*b + 4*b)*(3 - 1 - 3) + (2 - 2 - 5)*(5*b + 0*b - 4*b) + 1 - 2*b - 1.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -28\/17 and 8\/41.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 1. Let n(x) = 31*x + 6. Calculate -4*g(h) + n(h).\nAnswer: 31*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 14961 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**3 + 7*s**2 - 7*s + 1. Let d be p(6). Let j(x) = x**2 - 2*x - 3. Let z be j(d). Let f = z - 28. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 135, 271, 411, 555, 703, 855, 1011?\n\"Answer: 2*d**2 + 130*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes after 9:12 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 131, 141, 151, 161, 171, 181?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2695122152 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + y - 6 = 0. Suppose 2*f + 11 = y. Which is the smallest value?  (a) -1\/5  (b) -0.5  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + (4 - (-11 - -18)) + 24 - (-3 - -49).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**3\/5 + 237304*c**2\/5 - 7039148552*c\/5.\nAnswer: -2*c*(c - 59326)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3\/263 - 2125\/1841. Let w = j + -163\/84. What is the common denominator of w and -39\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/52  (b) 0  (c) -4  (d) -16  (e) 0.2  (f) -4\/769  (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3417 + 3419. Which is bigger: 804 or r?\nAnswer: 804","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 26022300 and 9525?\nAnswer: 26022300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the first derivative of -7*u**2\/2 - 20*u + 2. Let t(k) = -14*k - 39. Let n(v) = 5*m(v) - 3*t(v). Is n(8) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes before 5:56 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2769364 and 7124.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 49514053 and 7948.\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zkzzuzuzwsszuuzu. What is prob of picking 2 z and 1 s?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 6\/11, 3\/7, 3712, 1, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58519939?\nAnswer: 73, 829, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 128726807?\nAnswer: 11, 11702437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggjgfgggjfjgggg. What is prob of sequence jg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41648 is divided by 267.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 - 7\/14 - (-26)\/(-4). Let r(o) = 7105*o + 24. Let m be r(j). Let h = -28506 - m. What is h rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -39021, -39809, -40597?\nAnswer: -41385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 2\/3, -1\/125, -3, 177, -1\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 7*m**2 - 23*m - 2. Suppose 2*c = -3 - 1. Let v(r) = -6*r**2 + 22*r + 3. Let f(o) = c*v(o) - 3*j(o). Find the second derivative of f(s) wrt s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**5 + 12*c**4 + 22*c**3 + 12*c**2.\nAnswer: 2*c**2*(c + 1)*(c + 2)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100100001 (base 2) to base 3.\nAnswer: 101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 + 1. What is the closest to 3 in 2, b, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 111 and 518.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 4*j - 9. Let z(o) = -9*o + 21. Let p(f) = 7*a(f) + 3*z(f). Let b(v) = 4*v - 7*v**2 - 4*v. Determine p(b(n)).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zh when two letters picked without replacement from {h: 5, z: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -115*a**2. Let q(i) = 12*i - 33. Give d(q(b)).\nAnswer: -16560*b**2 + 91080*b - 125235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1.34 - -638462\nAnswer: 638463.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c + 1. Let a(l) = 10*l**2 - 10*l - 10. Let h be (-1248)\/124 - (-14)\/217. Give h*z(n) - a(n).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzzzkkkzzzkzzzzkzz. What is prob of sequence kzzz?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.02 in 1.9, -5, 3.88?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 80163 and -274?\nAnswer: -21964662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80 - 26 = l + 4*q, 41*q - 162 = -3*l + 48*q for l.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -34168*q**4*z**2 - q**4 - 180*q**3*z + 30280129*q**2*z - 2*z**2 wrt q.\nAnswer: -820032*q*z**2 - 24*q - 1080*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -52 divided by 5?\nAnswer: -52\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -142 = -o + 4*o - 2*f, -3*o = -4*f + 146. Let z = o - -89. Suppose 7 = -3*v + z. Solve 4*q = -b - 19, -5*b + v = -2*q - 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes before 10:22 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 71971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 1 = -3. Let h = 1 + p. Let s = 125013 + -125008. Calculate the highest common divisor of s and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o = 17*o + 140. Let h(u) = 6*u**2 - 8*u + 7. Let a(y) = -y**2 + y - 1. Give o*a(g) - 2*h(g).\nAnswer: 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one fifth of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the third derivative of v**4\/12 - 7*v**2. Let c(p) = 9*p**2. Give c(t(q)).\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(2\/23)*o*o\/(o*(o**7\/o)\/o*o) assuming o is positive.\nAnswer: o**(-113\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (22\/(-6) - -2)\/((-3)\/18). Suppose 0 = d + 2 - 3. Let p be (126\/36)\/(d\/20). What is the highest common divisor of r and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 332457522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 376 + -375. Sort z, -15, 14 in decreasing order.\nAnswer: 14, z, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sj when two letters picked without replacement from qssljbjqqjbqbj.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 137 + -6*(-136)\/(-48). Do m and 104 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -214*h**2 + 2 + h**3 - 203*h**2 + 414*h**2 - 3*h. Give o(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**2 - 2*t + 3. Does 6 divide y(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 - -13. Let d = t - 4. Solve 3*b - d = 3*u - 0, 2*b + 23 = -3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 136.21 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/14826314 and 79\/438.\nAnswer: 3246962766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 2*g**2. Let x(q) = -9*q + 2. Let z(l) = 2*l - 16. Let v be z(7). Let h(f) = -44*f + 11. Let r(w) = v*h(w) + 11*x(w). Give i(r(j)).\nAnswer: 242*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 3*v = -17491, 3*q - q + 4*v - 8718 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 3*b. Let f(a) = 10*a**2 - 16*a. Give v(f(w)).\nAnswer: 30*w**2 - 48*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 116685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1387720 is divided by 346924?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1816, 0.2, -237, 0.1?\nAnswer: 1816","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 37668 + -5325. List the prime factors of r.\nAnswer: 3, 10781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1275*m + 1270*m - 2548*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 22.375 centuries?\nAnswer: 26850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together 993.824383 and -88.15.\nAnswer: 905.674383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m**5 - 9648*m**4 - 38620*m**3 - 19320*m**2 + 38618*m + 28968 = 0. Calculate m.\nAnswer: -3, -1, 1, 4828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -312*n + 566*n - 4572 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(9\/7)*k*k**(-4\/3)*(k**(-2\/47))**28 assuming k is positive.\nAnswer: k**(-236\/987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 36.1 - 30. Let s = g - 6.1. Let n = -44\/5 + 47\/5. Which is the closest to -0.1?  (a) n  (b) s  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-3999)\/248)\/(2\/4))\/(11\/176*-12)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 88164337519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - 3*n - 1, 1167 = 5*d + 2*n. Is 8\/(-28) - d\/(-7) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 972*2.466\nAnswer: 2396.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 924 and 24?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 21 + 102111112?\nAnswer: 102111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(84)*6)\/(5*sqrt(36)\/sqrt(3)).\nAnswer: -6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + (-2 - -14) + -18 - -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -33192 + 33194. Let i(n) = -21*n**2 - 7*n. Let c(o) = 7*o**2 + 2*o. Determine g*i(q) + 7*c(q).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from {l: 2, h: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (60\/(-14))\/(-1*3\/21). Suppose -10*l + p + 120 = 0. Suppose 5*u + 24 = q + 2, 5*q = 5*u + 70. Which is bigger: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -3*u**3 - 22*u**2 + 12*u - 64. Let y(s) = s**3 + 11*s**2 - 5*s + 31. Give 3*c(q) + 7*y(q).\nAnswer: -2*q**3 + 11*q**2 + q + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 602*p + 1795. Calculate h(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -34, -69, -104, -139, -174?\n\"Answer: -35*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven thirds of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the second derivative of -7\/15*a**5 + 0 + 25*a - 25\/3*a**2 - 1\/5*a**6 + 5\/3*a**3 - 1\/63*a**7 + 17\/9*a**4. Determine z so that u(z) = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in seventeen quarters of a minute?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that n**4\/4 + 111*n**3\/4 + 1879*n**2\/2 + 10980*n + 30600 = 0.\nAnswer: -60, -30, -17, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3 - 4941)*18\/54. Is z < -1644?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -14*z - 96. Let d be l(-7). Solve d*p + 2 = 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1243?\nAnswer: 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 59.81306mm?\nAnswer: 5.981306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*q = -2*q. Suppose 44 = 2*b + 4*t, 5*t - 20 = -q*t. Let i(f) = f**3 - 13*f**2 - 4*f + 15. Is i(b) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1\/(-2 - 0))\/(14\/(-532)). Suppose -81 = i*c - 5. Sort -2, -3, c in ascending order.\nAnswer: c, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 164 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/9)\/((-330)\/99*2\/(-15))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0.5, 0, 0.01.\nAnswer: 0, 0.01, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/2)\/((-108)\/(8\/2))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/(6\/(5 - 11)). Which is bigger: z or -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 - -2. Let g be ((-1)\/15)\/((-2)\/12). Sort g, 5, k in decreasing order.\nAnswer: 5, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 4*v**2 + 39*v - 197. Let j(q) = q**2 - 17*q - 110. Let x be j(23). Is o(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -35246 + 35256. Solve 0 = f + 5*m - 5, -o = -4*f + 2*f - 4*m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 24 - -1024?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of x**5 - 9*x**2 - 6*x**2 + 2*x**3 + 0*x**5 wrt x.\nAnswer: 60*x**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(162) - (2 + sqrt(162) + sqrt(162))) - (2*(sqrt(16)\/sqrt(8))**2 + 5).\nAnswer: -36*sqrt(2) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 54.8  (c) -1  (d) 2\/9  (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -537 - 315 = -4*n. List the prime factors of n.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide -13 + (-669)\/(-51) + (-10198)\/(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 292 is divided by 155?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 141 is divided by 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3956426 + -3956429.5900048. Let q = g - -3.59. Round q to 7 decimal places.\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 52 + 44b?\nAnswer: 49d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the second derivative of 44*n**6\/15 + 7*n**4\/3 + 7*n + 5. What is the third derivative of t(w) wrt w?\nAnswer: 2112*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the second derivative of b**4\/4 + 47*b**3 + 6627*b**2\/2 + 44*b. Factor s(o).\nAnswer: 3*(o + 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 101 = 403. Let t(q) = -q**2 - 20*q - 52. What is the remainder when j is divided by t(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 89, -4, 19, 20\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.56966ml to litres.\nAnswer: 0.00456966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 800 is divided by 252?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 74\/185*(-75)\/(-50)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 2083518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11102200 - 112020?\nAnswer: 10220110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t*((t*((t**16*t)\/t)\/t*t)\/t)\/t)**(-1\/34))**(-16\/11) assuming t is positive.\nAnswer: t**(8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*m**5 - 4226698*m**4 + 17*m - 96982.\nAnswer: -40*m**3 - 50720376*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 943720184173\/1596 - 591303399. Let s = o - -653\/38. Let i = s - -31\/28. What is the common denominator of i and 111\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**2\/b*b*b**5*(b**(2\/11))**(-12))**50 assuming b is positive.\nAnswer: b**(2650\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.54 + -41.46. Let o = -41.5177663 + -0.4820697. Let v = o - m. Round v to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2322 and 122?\nAnswer: 141642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -306946398.3 minus -6.36?\nAnswer: -306946391.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:29 AM and 7:59 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**(-1\/2)\/a*a)**(5\/6)*a*((a\/(a**(1\/7)\/a))\/a)\/a*a*a**(1\/4))**(-11\/7))**39 assuming a is positive.\nAnswer: a**(-10153\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -165428\/11287 greater than or equal to -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7798652.\nAnswer: 2, 43, 45341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 + 2. Let q = m - -2. Suppose -2*f + q + 4 = 0. Solve f*j - 4*g + 8 = 0, 0 = -j + g + 4*g + 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -o + 5688 - 5688.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 3*u = -10. Suppose 2*s = -u*s + 16. Let m be (-3)\/(-4) - (-557)\/s. What is the highest common factor of 20 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(250)*1)\/(-1*sqrt(18)).\nAnswer: -5*sqrt(5)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1330579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -3*f - 41. Determine p(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the first derivative of c**4 + 1004*c**3 + 378006*c**2 + 63253004*c - 449. Find g, given that v(g) = 0.\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 4183  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 95905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 11*q - 16. Let j(p) = -2 - p**2 + 3*p - p + 6*p + 0. Let o be j(3). Is m(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -14\/15, -1, 5, 14?\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that 15*j**5\/4 + 21905*j**4\/2 + 601585*j**3\/2 + 1861355*j**2 - 11730065*j\/4 + 1518825\/2 = 0.\nAnswer: -2893, -15, -14, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes before 10:30 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58175588*m**2 - 116351080*m**2 + 58175493*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 - 16*u**2 - 18*u - 34. Calculate the remainder when 53 is divided by q(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -20*v + 4. Let y be w(5). Suppose 6*u - r = u + 720, -4*u + 2*r + 582 = 0. Let q = u + y. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.1, 0.4, -4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76 = -3*u + 86. Let r = u + -51. Suppose 5*j + 214 = 3*h, -j + 124 - r = 2*h. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 439*j = -180*j + 58805 for j.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3272203.07 times -3?\nAnswer: 9816609.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 32238, 32240, 32242?\nAnswer: 32244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the second derivative of 0*t**2 + 40*t + 1\/6*t**4 + 0*t**3 + 0. Let d(v) = -v**2 + 2. Give b(d(u)).\nAnswer: 2*u**4 - 8*u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -4 - 7744278742\nAnswer: -7744278746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 199863 is divided by 1541.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3\/14  (b) -1  (c) -5  (d) -43  (e) 1\/3  (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**2 - 5*z - 4. Let y be o(7). Suppose m + y = 6*m. Is 12 a factor of 0 - 154\/m*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7432 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -787 - -12275. List the prime factors of r.\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s - 2*d + 969, 2*d - 3*d + 966 = 3*s. Suppose 0*a + 5*l = -3*a + s, -3*a + 351 = -5*l. Calculate the remainder when a is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 + 100021?\nAnswer: 100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3 - (0 + 1 + 36\/19). Let z = 0 + 1. Let f = -1.5 + z. What is the second smallest value in h, 5, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {b: 3, e: 4, v: 6, h: 4}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aggagag.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7448447*k**2 + 2764555 wrt k.\nAnswer: 14896894*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the second derivative of 373*w**3 + 1842*w**2 + 6247*w. Differentiate c(g) wrt g.\nAnswer: 2238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16011752.5 rounded to the nearest 100000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95520 is divided by 57.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 19 + 6?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2\/7*w**4 + 16\/7*w**3 - 80\/7*w + 50\/7 + 12\/7*w**2 = 0 for w.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = 2*m - 70. Suppose -k = -6*k + m. Let f(o) = o**2 - 8*o + 2. Give f(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2*(-1 + 2))\/(-1). Suppose 0 = 5*a, -3*a + 5*a = t - 18. Let m = t + -37\/2. Which is greater: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 274397.\nAnswer: 17, 16141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -435, -434, -423, -396, -347, -270, -159?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 11*b + 51. Calculate j(-7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 3564417+-1224355\nAnswer: 2340062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/8  (b) -1\/8  (c) 13357\/3  (d) -0.3  (e) 10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 + -2. List the prime factors of 4\/1 + x + -3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 + -6.1. Let i = 1\/9 - -4\/45. What is the nearest to -1 in -1, i, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -1, 2, 63\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 3*z = 0. Let b = z + 10. Let v be ((-2)\/(-3))\/((-2)\/(-12)). What is the greatest common divisor of v and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -34.9 - -35. Let v = -12 - -12. Let d be ((-12)\/20 + 3\/6)*-2. What is the closest to v in -0.5, l, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*i = -10 - 2. Let r(m) = -9*m + 12. Calculate the remainder when 6\/33 + (-1)\/((-33)\/2700) is divided by r(i).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22434386 and 598?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*t = -23*t + 112. Let h(f) = -4*f**3 - 6*f**2 + 8 + 21*f**3 + 14*f**2. Let m(z) = -6*z**3 - 3*z**2 - 3. Give t*m(v) - 3*h(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -656267\/3  (b) -4  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1*1)\/((-12)\/468). Suppose 5*s + 2*h - 33 = 0, 0*h = -2*h + 8. Suppose s*p + u = 6*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26792?\nAnswer: 2, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10762858 is divided by 410?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 10 = 10. Differentiate -12*z**2 + z**3 + x + 5*z**3 + 12*z**2 wrt z.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -372*a - 73*a - 7466 = -17 + 26371 for a.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 301981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70 - 243 + 63 + 45 - 24412*d + 24409*d + 65.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 51360, 102727, 154094, 205461?\n\"Answer: 51367*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2301*u = 260*u - 34252 - 159643 for u.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -80 by -4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-42))\/(((-55)\/20)\/11)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.106 + -0.194. What is the second biggest value in 0.1, -2\/13, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 14*z**2 + 404*z - 292. Give i(-30).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - 23 - (-9 - (0 + (-14 - -6))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from chvsshscgs. What is prob of sequence cs?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttjzjjjtzzjtjttzt. Give prob of sequence jtzt.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -23*j**3 - 7*j**2. Let i(u) = 8*u**3 + 2*u**2. Let z(d) = 7*i(d) + 2*w(d). Let m(b) = -161*b**3. Calculate -3*m(o) - 49*z(o).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ovpooaoooloajoo. Give prob of picking 1 l and 1 j.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjkjjbkkjbjjjkbb. What is prob of picking 1 k, 1 b, and 2 j?\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*a + 781 - 809. What is the third smallest value in -2, a, -102?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*t**2 + 14*t - 8*t + 2*t + 10*t**4 as s*t + n*t**4 + m*t**2 + a + q*t**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the third derivative of -z**6\/180 - z**5\/60 - z**3\/2 - z**2. Let u(s) be the first derivative of a(s). Solve u(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the third derivative of 0*p**6 + 1\/30*p**5 + 0 + 0*p**4 + 1\/70*p**7 - 2*p**2 + 0*p**3 + 0*p. Find the third derivative of c(l) wrt l.\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -21525350761 to the nearest one million.\nAnswer: -21525000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -19*d**3 - 7*d. Let m(a) = 19*a**3 + 6*a. Suppose 560 = 10*n + 490. What is n*m(f) + 6*c(f)?\nAnswer: 19*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2\/(((-32)\/76)\/1) and 27\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**2 + 14*c + 15. Let f be x(-14). Suppose 2*t + 15 = f. Solve 3*y + t*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -68037, -1, -2, -3 in decreasing order.\nAnswer: 3, -1, -2, -3, -68037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*b - 14*b - q - 29 = 0, 2*b - 72 = 4*q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 2*h**2\/5 + 156*h\/5 = 0.\nAnswer: -78, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the third derivative of -41*l**5\/60 - 22*l**2. Let a(x) = -x. Calculate a(w(y)).\nAnswer: 41*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**3 + 207*s**2 - 2508*s - 2716.\nAnswer: -(s - 194)*(s - 14)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 175073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 7*o**2 - 73732*o + 4. Determine v(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.08077 - 0.08057255. What is d rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -3*j**2 - 24*j - 20. What is k(-8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 85 - 2. Let c = 83.1 - i. Let v = -0.07 + -0.03. Sort -5, c, 1, v.\nAnswer: -5, v, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -8427*k**4\/4 + 8262594*k**3 - 48914523*k**2\/2 - 931740*k - 35271\/4 = 0. What is k?\nAnswer: -1\/53, 3, 3919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-124)\/62*(-12)\/(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 217 = -45*a + 622 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes before 10:43 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*v**(-4\/7)\/v*v*v\/(v\/((v*v**(-5))\/v))*(v*v**(-1))\/v*(v*v**(-2)*v)\/v)**(5\/6) assuming v is positive.\nAnswer: v**(-65\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*q + 13*q - 24*q + 255285*q**2.\nAnswer: 255285*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1090377 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -376 + 374. Let b(t) = -4*t**3 - 6*t**2 - 8*t - 6. Let k(j) = -j**3 - j**2 - j - 1. Let x(i) = -b(i) + 5*k(i). What is x(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7.1*0.1.\nAnswer: -0.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the first derivative of 0*p + 133 + 0*p**5 + 0*p**2 + 0*p**4 - 37*p**6 + 196\/3*p**3. What is the third derivative of y(b) wrt b?\nAnswer: -13320*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -177045276741218*k**2 - 75269176*k - 8.\nAnswer: -2*(9408647*k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -329, -342, -365, -398, -441, -494?\nAnswer: -557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the third derivative of -3*p**4\/8 + p**3\/6 - 5*p**2. Let b be y(-1). Suppose -t**4 - 10 - t**4 + b = 0. What is t?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*j + 2 - 720 - 34 = 0 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.3  (b) -0.1  (c) 11  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2*1)\/((-5)\/10). Let c = 361 - 356. Suppose -c*x - 24 = -19. Which is smaller: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -30*r - 24. Let w be b(-12). What is the greatest common divisor of w and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3\/43 + 135\/86. Let x*v**4 + 3\/2*v**3 - 3\/2*v - 3\/2*v**2 + 0 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the first derivative of 0*w + 8\/3*w**3 + 6 - 4*w**2. What is the second derivative of z(p) wrt p?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 121 = -10*g + 359. Calculate the highest common factor of g and 12384.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 84056.14 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 7*a. Let n be (-3)\/(3*(-5)\/55). Suppose 6*w - 23 + n = 0. Give o(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 114, 115, 120, 129?\n\"Answer: 2*v**2 - 5*v + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2478?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 354 is divided by 119.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((173745\/(-78))\/(-45))\/((-3)\/2).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -12.1, 2, 0.5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:58 PM and 5:17 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.00101 - 0.006\nAnswer: -0.00701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/574 and -51\/28.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -11 + (-32)\/(-6) + 60\/(-45). Let y(n) = -4*n - 11. Let j(i) = -2*i - 6. What is o*j(u) + 4*y(u)?\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -x + 5*n, -4*x - 3*n - n - 204 = 0. Let d(o) be the first derivative of 45*o**4\/4 - o**3 - o**2\/2 - 27. Let j be d(-1). Which is greater: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes after 12:55 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.1 + -0.2. Let v = -11 + 8. Which is the nearest to i?  (a) v  (b) -0.2  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/48197 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 184*l**3 - 6*l**2 + 11*l - 9. Is p(1) a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1863 - -1919. Calculate the least common multiple of g and 18.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 289 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.08547 - 0.08547. Let s = 32 + -11. Which is the closest to -0.1?  (a) s  (b) f  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 a when two letters picked without replacement from huvuaahvuu?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -905013 by -1.\nAnswer: 905013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8\/3, 0.1, -2\/5, 5 in decreasing order.\nAnswer: 5, 8\/3, 0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.7 - -3. Let c = 911\/2724 - 1\/908. What is the smallest value in q, c, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6*(-16)\/36)\/2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1632355 to the nearest integer?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*o - 4*o + o + (-5 + 4*o + 5)*(1 - 3 + 4).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2\/3 and 91\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/13191002 and -71\/12?\nAnswer: 79146012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the third derivative of 0*i**3 + 0*i - 1\/8*i**6 + 0 - 8*i**2 + 1\/10*i**5 + 0*i**4. Determine u, given that b(u) = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*19\/(-2964)*13.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**3 + 4*s**2 + 2*s - 2. Let d(j) = j**2 - 11*j + 6. Let q be d(10). Calculate v(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the third derivative of -m**6\/120 + m**5\/6 - 7*m**4\/12 + 7*m**3\/6 + 2*m**2. Let p be -2 + (-205)\/(-25) + 1\/(-5). Is 16 a factor of n(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**3 - 2*b**2 + b - 11. Calculate d(-6).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/((-160)\/(-36))*8\/12*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58 = 3*q + 4*w, 2*q - 4*w = 6 + 6. Calculate the remainder when 27 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -412135 + -616865. What is p rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6538984*5\nAnswer: 32694920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/(-414)*(12\/(-18))\/(25\/((-2925)\/52)).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m + 3*m = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let 1628*q**2\/7 - 1620*q\/7 - 8\/7 = 0. Calculate q.\nAnswer: -2\/407, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -96362209 - 613.\nAnswer: -96362822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 56 + -34. Suppose -12 = 5*g - i. Solve x = -2*k + 3 - g, -3*k = -4*x - 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j**3 - 5*j**2 - 5*j - 4. Let x be v(-4). Suppose -5*u - 4*l = -23, -3*u + x + 3 = -3*l. What is the greatest common divisor of u and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**2 - 16*g - 45. Let p be f(-4). Determine t so that -55*t**3 + 5*t**4 + 22*t + 160*t**2 + 8*t + 105*t**p + 130*t = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 2461*j + 27. Is h(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10111101111001000110001 - -11?\nAnswer: -10111101111001000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - m = -4*z + 1834, -2*z + 912 = 2*m. What is the smallest common multiple of z and 14?\nAnswer: 3206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57 = -4*s + 5*j, -3*j = 9 + 6. Let m(a) = -90*a**2 + 4*a**3 - 3*a**3 + 41*a**2 + 42*a**2 - 6 - 8*a. Determine m(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*d**2*y**4 + 20*d**2*y**3 + 2*d**2 + 2*d*y**2 + 8*y wrt y.\nAnswer: -48*d**2*y + 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 39.43683 tonnes?\nAnswer: 39436830000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Is 75233609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 2*i**2 - 5*i. Let l be s(5). Let d be (1788\/36 + -8)*12\/10. What is the greatest common factor of d and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 4*f - 3)*(-f**2 - 6*f**2 + 2*f + 3*f**2).\nAnswer: -16*f**3 + 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 6*p**2 + 3. Let q(i) = -17*i**2 - 8. Let h(u) = -8*c(u) - 3*q(u). Let l(y) = -5*y**2. Determine h(l(r)).\nAnswer: 75*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 4*p - 4 = -3*r, 3*p = -3*r. Suppose 0 = x + 4 - 19. Suppose -3*l = -d - 11, 5*d - 10 - x = -l. Solve r*b = 4*b + d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = y - 0 - 9, 2*h = 2*y - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -508541.65 to the nearest one hundred.\nAnswer: -508500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o - 3*t + 40000009, 17776824 + 22223170 = -o - 2*t. Round o to the nearest one million.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 453 and 920307.\nAnswer: 138966357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-10)\/8 - (-42)\/168. Let f(v) = 4*v - 5*v**3 - 2*v**2 - 5*v + 0*v**2. What is f(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 14788*m - 1. Let q be w(8). Suppose 0 = -o + 361697 + q. Round o to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 31 + -26. Suppose 0 = -g*p - 0*p + 145. Calculate the remainder when 141 is divided by p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.04 + -14.04. Let c = 15.4 + y. Let n = -1.6 + c. Is n bigger than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 + 168 + 52 = -77*n. Put 1, 12, n, 5, 2 in ascending order.\nAnswer: n, 1, 2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 2*g**2 - 6*g + 6. Let a be d(6). Is (-5348)\/a*(-3)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:26 PM and 11:19 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -66, -272, -614, -1092, -1706?\nAnswer: -2456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 16620010 = 3*w, -4*b + 9*b = 10. What is w rounded to the nearest one hundred thousand?\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in twenty-six fifths of a hour?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times 31?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x - 2*x + 0*x + (4 - 2 - 3)*(-2*x - 3*x + 3*x) - 20175 + 20175 - 360*x)*(-2 + 3 + 0)*(-2 + 0 + 1).\nAnswer: 363*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 + -17. Find the common denominator of -40\/9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:59 AM and 9:57 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2416471631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 88 and 92?\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4157146060 to the power of 1\/4, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -182 = 5*c - 142. Sort 1, c, -2 in descending order.\nAnswer: 1, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-183528)\/(-203920))\/((-2)\/200).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**2 - 19*v - 22. Let u(k) = 2*k + 16. Let d be u(-6). Suppose d*n - 17 = -77. What is the remainder when 112 is divided by b(n)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 34, 19, -6, -41, -86?\n\"Answer: -5*x**2 + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**2)**(-34)\/((z\/(z\/(z*z**(1\/20)*z)))\/(z*z**(-2\/57))))**(-1\/10) assuming z is positive.\nAnswer: z**(78757\/11400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = s - 6*s + 24306, 2*s = -4*b + 9732. Is 35 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*h - 6*h + h)*(0 - 2 + 1)*(4 - 3 + 2).\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -272 + 222 + l**2 + 180 + 34*l. Calculate c(-28).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 12*v**4 + 8*v**2 - 8*v - 26. Let c(w) = -w**4 + w**2 - w - 1. Let g = -32 + 31. Let b(u) = g*i(u) + 8*c(u). Differentiate b(s) with respect to s.\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**2 - 4*t - 19. Let w be i(9). Suppose p + w = 1435. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11 - 23. Let h be m\/(-8)*-2*-1. Let s(y) = y**2 - y - 3. Give s(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1425700 + -38864109\nAnswer: -40289809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**2 + 192720*l - 1541729. What is c(8)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g = -0*g + 112. Let j = -12 + g. What is the second derivative of 5*i**4 + 0*i**j + 9*i + 4*i**4 + 2*i**4 wrt i?\nAnswer: 132*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*q**3 + 2*q**3 + q**3 + (-23*q**2 - 9*q**2 + 26*q**2)*(q - q + 3*q).\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*p**5 - 2*p**4 - 4819*p**3 + 28532*p**2.\nAnswer: -180*p**2 - 48*p - 28914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 329018*q**3 - q**2 - 2823*q - 18?\nAnswer: 1974108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the third derivative of w**4\/12 + 10*w**2. Let a(y) = -5*y**2 + 2*y. Give a(d(f)).\nAnswer: -20*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**3 + 3*d**2 + 2*d - 2. Let y be k(2). Let s be (-5)\/15 + 20\/y. Let q be 1\/s + 16\/6. Solve 0 = 5*a + 5*n + 15, 4*a + q*n + 2 = -6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7832 = 18*c + 632. Differentiate 65*p - 39 - c*p + 88 + 67 with respect to p.\nAnswer: -335","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.001, 2\/55, -5?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 - 13 + 3123*z**2 - 9466*z**2 + 5 + 2847*z**2.\nAnswer: -3496*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**4\/w)\/w*w**2)\/((w\/(w*w*(w*w**(2\/9)*w*w)\/w*w*w))\/(w\/w**(1\/9)))*(w**(-14))**16 assuming w is positive.\nAnswer: w**(-1925\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 1085968 divided by 26.\nAnswer: 41768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 655*n - 3906*n - 1919*n**2 - 106 + 106 - 3427*n wrt n.\nAnswer: -3838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44 - 2012484.\nAnswer: -2012440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 4 = 26. Let g = p - -22. Which is smaller: g or 1\/20?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((4*sqrt(1539) - sqrt(1539))*-3 + -4 + 5))**2.\nAnswer: -2592*sqrt(19) + 1994560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1470, 5894, 13268, 23592, 36866, 53090?\nAnswer: 72264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-21)\/(-112))\/(21\/7).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 - -6. Let u = -400 - -406.27. Let q = -9.27 + u. Put -0.5, q, w in descending order.\nAnswer: -0.5, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 439*s**6 + 18*s**2 + 19.\nAnswer: 52680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, t: 1, b: 1, w: 1}. Give prob of sequence wb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 49287472 by -3080467.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 739 - 353. What are the prime factors of w?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(-4*(sqrt(300) - ((-2*sqrt(300) - sqrt(300)) + sqrt(300))) - sqrt(300))*-4)\/(sqrt(24)\/(sqrt(484) - (sqrt(484)*-1 - sqrt(484)))*-1))**2.\nAnswer: 2355724800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*l + 0*l - l + 1 - 1 - 2*l - l + 3*l + 0*l + (1 + 2 - 1)*(-l - 4*l + 6*l) + 1 - 1 + 5*l)*(0*l + 0*l - 2*l) to the form y*l + a*l**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 26533 + -26533. Find a, given that r*a + 3\/4*a**3 + 0 + 3\/2*a**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 295?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14 + 19. Suppose 2*z - 4*d - 36 = 0, -z + g = 2*d - 1. What is the remainder when 21 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.211 + -102.211. Let l = t + 100. What is the nearest to 10 in l, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 554*j. Let s(q) = 2*q - 1. What is -2*s(m) + t(m)?\nAnswer: 550*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 - 5)\/5*-66. Calculate the common denominator of (-16)\/20 - p\/(-100) and -62\/5.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 158 less than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 2:12 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*i - 6489 = -41*i. Let l = i - 497. What are the prime factors of l?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -144, -504, -1122, -2004, -3156, -4584?\nAnswer: -6294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 213436748 to the nearest integer?\nAnswer: 14609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -5 + 1 + (-810)\/(-195) - 369\/117. Which is the closest to -3?  (a) 136  (b) -4  (c) q  (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1486203 divided by 1486203\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hq when two letters picked without replacement from dqhhdqdhhhhhhdqhqqqh.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-84)\/(-40) + -2 + 185\/(-350).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the second derivative of -b**6\/2160 - b**5\/72 - b**4\/16 - 4*b**3 - 25*b. Let o(g) be the second derivative of l(g). Factor o(n).\nAnswer: -(n + 1)*(n + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22036*b + 2*f + 32 = -22035*b, -4*b = -13*f - 218 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) -8.751  (c) 8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 3221, 3311, 3407, 3503, 3593, 3671?\n\"Answer: -d**3 + 9*d**2 + 70*d + 3143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8 and 317336?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10111 (base 3) to base 7.\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1698, 3425, 5168, 6921, 8678, 10433?\nAnswer: 12180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(405)*-2 + sqrt(405))**2.\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8 + 0. Let k be 2 - 1 - 2*-46. Let h = k + r. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10891?\nAnswer: 10891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88 + 90 = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1*1\/1 - -2. Let m(g) = g - 3. Let v be m(4). Let z be v*(5 - (2 - -2))*-3. Put 3, d, z in ascending order.\nAnswer: z, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c - 3. Suppose 4*a = -29 + 9. Let r be x(a). Suppose 11*b - 31 = 13. Solve 0 = r*f - b*f - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {f: 3, y: 15}.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00359338 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1090459 + 4361835\/4. Let h be 6\/(2\/(-1 + 3)). What is the closest to 1\/2 in 0, h, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z + 4*b - 54, 0 = 4*z + 4*b - 56 - 40. Let q = -23 + z. Let x be (-1)\/(2*(-1)\/q). Which is smaller: x or 1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -22, -47, -86, -145, -230, -347, -502, -701?\n\"Answer: -a**3 - a**2 - 15*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f - 3. Let g(s) = -2. Let j(y) = -6*g(y) + 5*n(y). Let p be j(-2). Suppose -p*x + 110 = -2*x. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21 - 35 - 34 - 48 - 779*p + 138.\nAnswer: -779*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 210*n**2. Let g(v) = -14050*v**2 + 15. Calculate g(f(t)).\nAnswer: -619605000*t**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**2 - 3*c - 5. Suppose 3*g - 35 = 4*a, -5*a + 26 = 3*g + g. What is the remainder when q(g) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36258781 divided by -6.\nAnswer: 36258781\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-18)\/(-15))\/(4\/10). Suppose 4 + 6 = 2*r. Suppose -i + r*i - t*u = 29, -2*u = -3*i + 21. Solve 4*n + i*y - 12 = 3*y, -4*y = -3*n + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3672 and 4216?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000003224 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -157011*g = -156991*g + 3*y - 78, 0 = 5*g - 23*y + 123 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -353*p + 25720 - 29956 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 10529 = -13099. Is 22 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes before 9:58 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1599*l + 7 = -z + 1593*l - 2, -3*l + 6 = 2*z + 24 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 2*g = 4, -g - 2 = -0*g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j. Let p be r(-1). Let q = p + 4. Let b = 4 + q. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -0.3, -87 in ascending order.\nAnswer: -87, -5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the first derivative of -t**4\/4 + 2*t**3 + 4*t**2 - 4*t + 19. Determine j(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-1362)\/(-1589) + 862\/(-1120) and 101\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -103 + 181. Let c be 2\/7 + x\/168. Factor -1\/4 - c*n**2 + 3\/4*n + 1\/4*n**3.\nAnswer: (n - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -25b05 (base 13) to base 3.\nAnswer: -10112222112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 5*a**2 + a. Let l be r(-1). Solve 4*i = -l*p, -3*p + 4*p + 5*i = -16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 42\/2*(-40)\/(-55)*(-22)\/(-6)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3238 is divided by 83?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-252)*-10*((-14742)\/270)\/(-91)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -123 = 4*l + 4*w + 1729, 2*l - 13*w + 866 = 0. Which is smaller: -458 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1857 and 11?\nAnswer: -20427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 17 + -36. Let n(b) = b**3 + 19*b**2 - b - 15. Let p be n(u). Solve -p*s - 1 = -2*s + 3*a, -2*a + 1 = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 - 0 - (-3 - 5\/(-5)). Suppose v = t - 3. What is the least common multiple of t and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 8, a: 5}. Give prob of picking 2 a and 2 f.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 108\/(-21) - -5 - 90\/(-42). What is the second derivative of 11*u**2 + 11*u**2 - 237*u + 13*u**2 - 35*u**w + 191*u**5 wrt u?\nAnswer: 3820*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**3 + 2*k**2 + 3*k - 4. What is the remainder when b(-7) is divided by 6\/(-16) - 406486\/(-5776)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 17072981.68 to the nearest one hundred thousand.\nAnswer: 17100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 244009895 to the power of 1\/4, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-8 + 10)\/(-1 + 2). Let x(p) = -37*p + 18*p + 19*p + o*p**2. Let d(m) = 1 + 2*m - 1. Calculate d(x(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6396 + 22908. Does 96 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 2*j - 7. Let g be f(6). Suppose -g*d + 80 = -d. Solve 0 = -4*n - d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 591765440?\nAnswer: 2, 5, 7, 67, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/4496 and 101\/205692.\nAnswer: 822768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 13*n - 14. Let v(q) = -25*q + 27. Let s(u) = -11*h(u) - 6*v(u). Is s(6) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 66*f**3 + 64*f**3 + 1 + 3*f + f**2 in the form n*f**3 + j + z*f**2 + b*f and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 167?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*u + 221 - 14549. Suppose 0*y = -y. Suppose y = -7*n + n + u. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 3  (b) 24  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/((-3)\/12*2). Suppose -9 = -3*w - 0*n - n, -3*n = -3*w - 3. Let q(o) = o**3 - 3*o**2 + 3*o - 1. Let f be q(w). Which is smaller: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 914*u**3 + 844*u**3 + 1933*u**3 + (3*u**2 - u**2 - 4*u**2 - 2*u)*(1 - 1 + 2*u) in the form h*u + k*u**2 + q*u**3 + d and give q.\nAnswer: 3687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 - 10) + 5 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-142 - 121 + 40)*(-4 - 3 + 4)*(140 + 5*s**2 - 140 + 3*s) to v*s + j*s**2 + k and give v.\nAnswer: 2007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2547, -2530, -2511, -2484, -2443, -2382?\n\"Answer: v**3 - 5*v**2 + 25*v - 2568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 3*d**2 + 77*d + 4*d**4 + 2*d**3 - 77*d + 0*d**4 to the form v*d**2 + l*d**4 + i*d**3 + h + q*d and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111 (base 2) to base 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does -8 = -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - 36 - 36. Let x = n - 64. What is the second derivative of 1234 - 22*o**4 + x*o - 1234 wrt o?\nAnswer: -264*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2 + 0*i + 0 + 1\/5*i**3.\nAnswer: i**2*(i - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**3 - 8*y**2 - 8*y - 7. Let b be h(-7). Suppose -3*f + 24 = 3*g, 2*f - 5*g = -13 - 6. Suppose b = -w + f*w - 12. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (-3 + -6 + -7 + 7 - 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 143 and 436007.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -17?  (a) 3  (b) 2\/121  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 - 8. Let o be (-2)\/g*(-45)\/(-3). Let s(d) = 2*d + 4. Give s(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 9451 and 0.3?\nAnswer: 9450.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/82552 and 83\/56.\nAnswer: 577864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 523\/3 + -5723\/33. Let i = m + -19\/33. Let u = 131 + -919\/7. Which is the closest to u?  (a) 3  (b) i  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -10*l + 23. Let k(t) = 8*t - 16. Let o(a) = -2*c(a) - 3*k(a). Let i(j) = -1 - 1 + 6 - 8*j. Calculate -6*i(r) + 11*o(r).\nAnswer: 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-8))\/((-17)\/272).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40335681.\nAnswer: 3, 31, 179, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.1  (b) 4  (c) 0  (d) -0.619  (e) 1  (f) -5  (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*n + 133 = 155 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.37 - -2.37. Which is the second biggest value?  (a) 6\/25  (b) q  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 145 - 137 = 5*j, 0 = -7*n + 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1 + -0.3. Let j = -106629 + 106628. Which is the second biggest value?  (a) -31  (b) r  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6373474 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 127602644 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(1 - 147\/144). Let m = t - 29. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4880 - 87779\/18. Calculate the common denominator of 85\/4 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.012196308 to 4 decimal places.\nAnswer: 0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2.92 - -2.72. What is the closest to b in -2\/23, 0, 5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**3 + 2*r**2 + 5*r - 84. What is z(0)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -4967381, -4967380, -4967379, -4967378?\n\"Answer: m - 4967382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 4, b: 3}. Give prob of picking 2 o.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the third derivative of -1\/12*n**4 + 0*n**3 + 0*n + 0 - 6*n**2. Let w(v) be the second derivative of -2*v**3\/3 + v. Determine w(r(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 245 - 168. Let l(j) = 0*j**2 - 4*j + 1 + 3*j + 7*j**2. Let g be l(1). Calculate the highest common factor of g and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5301.\nAnswer: 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63*z = -2*j + 60*z - 24, -2*j - 8 = -z. Let s(c) be the first derivative of -6*c**2 + 23*c - 1. Is s(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -444, -2, 1.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 64056 and 160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 141*g + 34. Determine p(0).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 26*i - 21*i - 1550000. What is i rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 11 - 8 = -5*q, -10 = -5*b + q. Suppose 5 = -3*f + 5*u, b*f + f = 3*u - 14. Let i = -0.4 + -0.1. Sort i, f, 4 in descending order.\nAnswer: 4, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*f - 36*a + 67*a = 36*a - 145, 2*a = -4*f - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s\/(s*s**(-1)))\/s)\/(s\/(s*s**(2\/3))))\/(s\/s**0*s**(2\/5)))\/(s\/(s*s\/(s*s\/((s\/s**7)\/s*s))*s)*(s\/s**(-1\/8))\/s)**(2\/11) assuming s is positive.\nAnswer: s**(-1219\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -3*w + 18, 3*w + 6 = -3. Find the first derivative of -2*x - 25 - 5*x + l - 8*x wrt x.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94 = -9*f + 19570. What are the prime factors of f?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**2 - 4*w - 13. Let n be y(6). Let i(r) be the first derivative of 2*r**4 + 2*r**3\/3 + r**2\/2 - 1. Determine i(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1698, 1700, 1704, 1710, 1718?\n\"Answer: d**2 - d + 1698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 66632\/11 + -6062. Find the common denominator of 65\/66 and y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -947 - -946.5. What is the closest to 0.6 in 4, 1, l, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 - 56. Let t = r - -41. Sort 4, 2, -1, t in increasing order.\nAnswer: t, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 + 3)*(u - 4*u - 2 + u)*(9*u - u + u) to the form x*u + n + c*u**2 and give c.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 + -2. Suppose -12 = -j*o, -2*o + 23 = 2*l + 3*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*u + 22*u = 54*u - 1360. Let l(p) = 23*p**2 - 2. Let z be l(2). Calculate the highest common factor of u and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -1  (b) -5  (c) -4.1  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -2*l - 3. Let a be 7\/(-14)*(-1 + l). Let k(c) = -1 + 5*c + a - c. Let w(o) = 2*o**2. Calculate w(k(f)).\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -70 + 72. Which is the second biggest value?  (a) 7  (b) -4  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 401*q - 401*q - 2*q**2 + 4*q**2. Let t(w) = 2*w**2 + 5. Let f(h) = -3*h**2 - 7. Let a(k) = -5*f(k) - 7*t(k). Determine i(a(d)).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -19 + 83. Let a = j + -42. Which is smaller: 24 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2312*j**3 + 4490*j**3 - 2175*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0 - (-1 + -2))*-26. Let h = -62 - w. Calculate the remainder when 45 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 151565621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**2 - 8*j + 9. Determine a(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 631783 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -52*x. Let a(h) be the third derivative of h**5\/20 - 970*h**2. Calculate a(s(y)).\nAnswer: 8112*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 785.1193 to the nearest ten.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002902253 rounded to 4 dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 19067, 19073, 19083, 19097, 19115?\n\"Answer: 2*o**2 + 19065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 200111 (base 3) in base 13?\nAnswer: 2c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.26 + 0.24. Sort 4\/5, 0.2, p in increasing order.\nAnswer: 0.2, p, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13817 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 3*y**3 - y**2 + 5*y + 7. Determine z(4).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 60*g + 30*g + 30*g + 4*g**2 in the form c*g**2 + y + p*g and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 - -221027?\nAnswer: 221025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.4  (b) -45  (c) 2  (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -16623264 divided by 49474\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 2 - 13)*(2 - 2 - 2*u**2) to j*u + v + n*u**2 and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes before 11:09 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 14628 and 30.\nAnswer: 73140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p + 11*u - 65 = 133, 36 = 5*p + 2*u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -41.032 + 41. Let k = 0.029 + q. Let m = k - -4.003. What is the biggest value in 0.4, m, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1376729 - 247271 = 2*c. What is c rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-297 + 72*p**2 + 297)*(p - 4*p + 444 - 425).\nAnswer: -216*p**3 + 1368*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 21\/295 and 18\/2065?\nAnswer: 2065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3117  (b) 14  (c) -2  (d) -426  (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1892932440 to the nearest integer?\nAnswer: 43508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3392*t + 941275 = 4793*t for t.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/64 in -52, -2\/13, 2, 1\/12, 2.5?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -186 (base 13) to base 2.\nAnswer: -100010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 67860078 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 5*f, 4*v + 2*f + 8836 = 7*v. Suppose 9*n = 7*n + v. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(440) - (sqrt(440) + 3*sqrt(440)*-1))\/sqrt(11))\/((sqrt(280)\/sqrt(63))\/sqrt(5))*-6.\nAnswer: -54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 204\/(-33) + (-2)\/(-11). Let p be 0\/(g\/(-1 - 2)). Let o = p + 2. Solve -o*m + 0 = 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 - 7437\/(-2475) - (-2 + 4). Let g = w + 4582\/275. Solve g*c + 125\/3 + 5\/3*c**2 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2 - 6*y + 2. Let s(i) = -6*i**3 + i**2 + i. Let g be s(-1). Let k be r(g). What is the remainder when 3 + -2 + k - -1 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9?  (a) -0.3  (b) -0.7  (c) -20\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, -10, -5, 4 in decreasing order.\nAnswer: 5, 4, 2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of -v**9\/60480 + v**8\/20160 + 13*v**5\/20 + 33*v**2. Let y(g) be the third derivative of l(g). What is y(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*6\/60*5\/(-14).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -8.1 times 0.4\nAnswer: -3.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10113 - 24404?\nAnswer: -40022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -41 or -123938?\nAnswer: -123938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 9*j - 25*j. Let x be ((-12)\/(-18))\/(j\/3). What is the closest to -2 in -5, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-40)\/6*(-3)\/2. What is the common denominator of 0 - ((-95)\/4 + 3) and i*19\/8*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, j: 1, z: 2, n: 1, g: 1}. What is prob of sequence znj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1277556389.\nAnswer: 1277556389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -85*j**2 - 11*j - 5. Let w(f) = -17*f**2 - 2*f - 1. Let z(g) = 11*w(g) - 2*y(g). Let t(c) = -2*c**2. Determine z(t(i)).\nAnswer: -68*i**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -455 less than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 359876, 359896, 359942, 360026, 360160, 360356, 360626, 360982?\nAnswer: 361436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -5643 divided by -5643\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 50 (base 13) to base 7.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 39971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the second derivative of -44*l + 1\/6*l**3 - 4*l**2 + 0. Give n(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5.72499*0.3.\nAnswer: 1.717497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19488 is divided by 114?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.2 - -7.2. Let n = -19272 + 19278.9999. Let d = q - n. What is d rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 21*n**3 - 20*n**2 + 166*n - 631*n + 31*n**3 - 451*n - 840 - 4*n**4 = 0. Calculate n.\nAnswer: -3, -1, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 + -6. Suppose x*y = -2*y + 12. What is the greatest common factor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**3 + 6*t**2 - t + 8. Let x be w(6). Let f be -1 - (x + -4*1). Suppose 0*u - u + f = 0. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -9, 1\/6, -5\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2721 - 2717. Which is the closest to 2\/17?  (a) -2  (b) s  (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -i**4 + 176*i**3 - 1493*i**2 - 1670*i = 0.\nAnswer: -1, 0, 10, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/140719140 and -101\/140719140?\nAnswer: 140719140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(2\/47)*u**(-2))\/(u**3\/u**(-7\/4)) assuming u is positive.\nAnswer: u**(-1073\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - 1 - 14) + 1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j - 15. Let f be t(11). Let q = -14 - -13.2. Let p = q + 0.5. Which is the third biggest value?  (a) p  (b) f  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21*w**3 + 11*w**3 - 9*w**3)*(-w - w + 0*w)*(2*w - 2*w + w + (2*w + 0*w - 4*w)*(4 + 0 - 3) - 5*w + 4*w - w).\nAnswer: -114*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 2\/13*l**4 - 32\/13*l**2 + 14\/13*l**3 + 24\/13*l.\nAnswer: -2*l*(l - 3)*(l - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -100432 (base 5) to base 6\nAnswer: -23002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1155 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2625*-3\nAnswer: 7875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 13) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 2*d - 0. Let g be d\/(-2)*8\/12. What is the units digit of 78\/13 - (g + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -22707\/7 + 519\/7*o**2 + 22185\/7*o + 3\/7*o**3 = 0. What is o?\nAnswer: -87, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*l + 34*l - 156 + 206 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.147 + -0.047. Let a = -1 + 2. Let y = 1.5 - a. Sort y, x, 1\/3.\nAnswer: x, 1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, -1.6, -6\/23, 2, 23\/6, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 46 + -22. Let w be 8\/(-3)*x\/(-16). Suppose 0*d + 13 = d. Solve -d - 7 = w*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes after 6:37 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 8 + 2?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that 2*b**5\/9 + 3912490*b**4\/9 + 1913449206254*b**3\/9 + 1913441381278*b**2\/9 - 1913449206256*b\/9 - 1913445293768\/9 = 0.\nAnswer: -978122, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6256215?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (26\/(-91))\/((36\/(-21))\/3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-5)\/((-75)\/1404))\/((-18)\/(-405)).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-2\/39)*g*g**(-7)*(g**(-1\/30))**(-24))**(2\/33) assuming g is positive.\nAnswer: g**(-2048\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - -2)\/((-8)\/92). Let u = v + 27. Calculate the remainder when 5 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a**5 - 11*a**5 + 9*a**5)*(-329 + 375 + 635).\nAnswer: 681*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -3, 5, 279, 33263 in descending order.\nAnswer: 33263, 279, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/5 - 156\/(-10). Suppose -48 = -37*l + 63. Suppose -4*i - 3*h = -a, -3*h = l*i - 3 - 12. Solve i = -g + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**2 - 12*j + 13. Give a(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the second derivative of -25*z**4\/4 + 15*z**3 - 27*z**2\/2 + 453*z. Let l(d) = 0. What is d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 784 and 787 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 4*l**5 - 41*l**4 - 49*l**3 + 23*l**2 + 9. Let p(g) = -g**5 + 10*g**4 + 11*g**3 - 6*g**2 - 2. Let h(c) = 2*d(c) + 9*p(c). Factor h(a).\nAnswer: -a**2*(a - 8)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s + 14. Let l be r(8). Suppose -l*o + 12*o = 90. Calculate the highest common divisor of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(833) + -1*sqrt(833)*1 + -5 + (sqrt(833) - (-1 + sqrt(833)*-1) - sqrt(833)))*-5 + -2)**2.\nAnswer: -1260*sqrt(17) + 21149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3804 + -3803. Put 132, 2\/21, -0.3, h in descending order.\nAnswer: 132, h, 2\/21, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 76419 divided by -5\nAnswer: -76419\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 22 + -22.5. Let q be (-69)\/(-15) + 22\/5 + -4. What is the fourth smallest value in 0.3, a, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 1262 = -10594. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 25106 and 138.\nAnswer: 1732314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 10048979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -532 * -14797\nAnswer: 7872004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 = 2*u, -3*i + 10*u + 9*u + 63 = -7*u + 30*u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 + (-6)\/2 + 13. Suppose o - 2*g = 5, -3*o + 3 + j = -5*g. Let v = -0.3 - -0.6. Which is the nearest to 0.1?  (a) 1  (b) o  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 196458259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 2*h + 2. What is u(-18)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7061*h**2 + 11*h + 2*h + 3*h - 23*h + 9*h.\nAnswer: 7061*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes after 4:08 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 125 and 2690375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3885 divided by -29147.\nAnswer: -3885\/29147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*k**2 - 5*k**2 - 301 + k + 295 + 0*k to the form b*k + h + x*k**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 13 = 7. Let r(n) = -19*n - 3. Let j(d) = -7*d - 1. Let u(i) = y*r(i) - 11*j(i). What is u(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 225.77032 rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 3+6517750540\nAnswer: 6517750543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*u**2 - 9*u**2 - u**2)*(2 - 2 - 2*u**2) in the form f*u**2 + m*u**3 + r*u**4 + k + a*u and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (18\/5)\/(1*(-13)\/(260\/8))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 10*r**5 + 3*r**4 - 3*r**2 + 9*r. Let q(l) = 11*l**5 + 4*l**4 - 4*l**2 + 9*l. Let a(z) = -4*n(z) + 3*q(z). Find the second derivative of a(d) wrt d.\nAnswer: -140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 7, u: 3, q: 6, n: 1}. What is prob of picking 1 q and 2 l?\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*x + 4*x + 5*x - 21*x + 34 in the form c*x + h and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-14) - (9 + 3460\/(-35)). Let d be (23\/(690\/(-54)))\/(2\/(-250)). Calculate the greatest common divisor of b and d.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 PM and 7:43 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sum -665 and 1196363822.7.\nAnswer: 1196363157.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in -4, -414, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -9 + (-1 + 12 - 4) + (1 - -10)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 54  (b) -2157.5  (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 48686071*b**2*t**3 + 2*b*t**3 + 3*b*t**2 - 2*b + 85930*t**3 + 4*t**2 wrt b?\nAnswer: 97372142*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 2*q = -u - 242, 4*u + 5*q = 484. Suppose u + 215 = 6*b. Calculate the greatest common factor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**3 + 13*r**2 + 6*r + 13. What is the tens digit of v(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23.034309 months to years.\nAnswer: 1.91952575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*s + s + 3*s)*(75 + 36 - 43) + 0*s + 0*s - s.\nAnswer: 67*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 114157, 228316, 342475, 456634?\n\"Answer: 114159*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 30 - 10 = 0. Let d = g - -15. What is the highest common divisor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9627562 and 1134.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 263377 by -67.\nAnswer: -3931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 - -8b?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/(-18) + 56\/(-9). Suppose 3*i - 5 = 40. Let o be 2\/(-2 - i\/k). Solve y - o = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**4 - 7442*r**3 - 13696201*r**2 + 556810440*r - 5598032400.\nAnswer: -(r - 20)**2*(r + 3741)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2764219984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 - -4. Let c = 3 + r. Let f = c + -3. Is -0.2 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/11 in -4, -15, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 - -12. Let o = 28 - f. Suppose 0 = -2*m - 4*s + 12, -3*m = -o*s - s + 12. Solve 4*j + m = 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/7 or 59161\/4?\nAnswer: 59161\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -39\/280 and -17\/520.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in twenty-five eighths of a microsecond?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -2*b**3 + 12*b**2 - 11*b + 4. Let f be z(5). Let h = -0.3 + 0. What is the nearest to 1 in f, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5889907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, -1815, -372.\nAnswer: -1815, -372, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 10*n**3 - 6*n**2 - 5*n - 6. Let o(h) = -9*h**3 + 5*h**2 + 4*h + 5. Let k(c) = -5*l(c) - 6*o(c). Suppose 0 = -5*z + 2*z + 3. Give k(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -m - 5*w, -3*w + 6*w + 6 = m. Let r(o) = -9*o**2 - 2*o**3 + 1 + 8*o + 5*o + 8 - 19. Let n be r(-6). Solve 5*f + n = -m*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07 - 1225?\nAnswer: -1224.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 144*f**3 + 53*f**3 + 462*f**3.\nAnswer: 659*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5475 and 1075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1 + 6\/3 - -188*2.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes before 7:37 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*o**2 + 5*o**2 + 6*o**2 + 4*o**2.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 2*h**2 - h + h. Let x(g) be the third derivative of g**4\/8 + 3*g**2. Give n(x(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-264)\/2046*(-127)\/1524?\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 21 - (-12)\/(-8)*2. Calculate the greatest common divisor of 27 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -2*n**2 + 55*n + 154. Let d be v(30). Let r(m) be the third derivative of 5\/24*m**d + 0*m - 1\/2*m**3 - 3*m**2 + 0. Give r(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 10499998*k + 4. Let s be h(2). Suppose 7*o + 4 = 2*t + 3*o, 0 = -t - 5*o + 23. Suppose s = -11*w + t*w. Round w to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 2 p when four letters picked without replacement from vcvcvvivvvvipivp?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -171, -331, -491?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 31*m**2 + 116*m. Let v(i) = 3*i**2. Give d(v(f)).\nAnswer: 279*f**4 + 348*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 5*k - 8. Suppose 43 - 83 = 60*t + 200. Let y(d) = 5*d - 7. What is t*j(z) + 5*y(z)?\nAnswer: 5*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 285748712?\nAnswer: 2, 35718589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-640)\/12)\/8*(-18)\/10. Suppose -6*j = -d*j + 2430. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -222*d + 432*d - 238*d.\nAnswer: -28*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 615*b**6 - 143*b**3 - 154745*b**2 - 2*b wrt b.\nAnswer: 73800*b**3 - 858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-17)\/(51\/(-23064)) + -11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-45)\/11 + (-3)\/(-33))\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -5*n**2 + 12. Let t(l) = 16*l**2 - 36. Suppose k - 23 = -4*d, -3*k - 202*d = -200*d - 19. Determine k*t(q) + 10*r(q).\nAnswer: -2*q**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2, -42, -150, -362, -714, -1242?\n\"Answer: -6*v**3 + 2*v**2 - 4*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m + p = 131, -9152*m + 9151*m + 4*p - 26 = 3 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 7702*a - 5345207. Determine w(694).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*q + 34*q**3 - 27*q**3 + q.\nAnswer: 7*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.007 + 0.093. Let l be (-2)\/3*(-3)\/(-4). What is the smallest value in -0.1, f, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-7)\/((-14)\/344) + -1. Let g = m + -116. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/((-7)\/84)*(-1)\/2. Let t(d) = -8 - d + 1 - 2*d. Calculate t(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -176745 = -9*x + 180078. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 460007 is divided by 157?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + 11 + 9. Let d(o) be the third derivative of -o**6\/120 - o**5\/10 - o**4\/4 + o**3\/3 + 8*o**2. What is the remainder when 20 is divided by d(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zc when two letters picked without replacement from baabzfazaaaaffzzcacz?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - -2. What is the second derivative of -h*c**4 + 3*c + c - 2*c**4 + c wrt c?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7350815 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -38*f**3*g*o**3 - 5*f**3*g*o**2 - 19*f**2*g**2*o**3 + 12*f**2*g**2*o**2 - 7*f**2*g*o + 2*o**2 wrt o.\nAnswer: -228*f**3*g - 114*f**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -5*-46\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000838057 to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -8, 27, 4 in decreasing order.\nAnswer: 27, 9, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**4\/5 - 24*t**3\/5 - 54*t**2\/5 - 28*t\/5.\nAnswer: 2*t*(t - 14)*(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 + -4. Let s be (36\/(-14))\/(9 - (-186)\/(-21)). Let y be (16 - (-1 - -2))*6\/s. Put y, k, 3\/7 in descending order.\nAnswer: k, 3\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -142 = 3*s - 157, 3*v = -4*s + 4682. Does 74 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.34 in 0.4, -1\/5, -0.3, -5, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 0.4  (b) 172  (c) -48.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 2997*k - 5996. What is i(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -36956.8990063 - -36957. Let z = x + -0.101. Round z to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*3*1*sqrt(468)*6 - (-2 + sqrt(468) + 1 + sqrt(468) - sqrt(468) - (-2 + sqrt(468)*-2))**2.\nAnswer: -4213 - 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -82 - ((-7 - 6) + -15) - -27.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -21235, -21233, -21229, -21223?\n\"Answer: s**2 - s - 21235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4961952.\nAnswer: 2, 3, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 95 times 4\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ld when two letters picked without replacement from {l: 1, d: 13, r: 3}.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(1008) + sqrt(63) - (sqrt(4032) + sqrt(4032)*2))\/(sqrt(18)\/sqrt(2)*-2 + -6*sqrt(36))*-6)**2.\nAnswer: 3249\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 3*8*12\/(-1296)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 200100 + -111202?\nAnswer: 11121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the first derivative of -g**2\/2 - 4*g + 11. Let h be l(-7). Is 18 a factor of (h - 4)*(0 + -43)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 664 = 29*l - 37*l. Let s = -81 - l. Suppose 787 = 4*t - b - 0*b, -2*t + s*b = -392. What are the prime factors of t?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -38473*z + 307786. Give l(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2552, -4979, -7408, -9839?\nAnswer: -12272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*v - 5*v + 2*v)*(2329 - 129 + 366) to the form u + q*v and give q.\nAnswer: 5132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 at most as big as 459\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w = -3*z + 22, -12*z - 3*w - 17 = -10*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 32 - -1523?\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17354, -37212, -59574, -84440?\nAnswer: -111810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 2*d**2 - 84*d - 32. What is g(24)?\nAnswer: -896","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of 0 + 0*g**3 - 8*g + 1\/2*g**4 + 6*g**2. What is the derivative of p(m) wrt m?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -8446, -8443, -8438, -8431, -8422, -8411, -8398?\n\"Answer: k**2 - 8447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/5)\/(2*(-1)\/(-2)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -6*k**2 - 8*k**2 - 217*k**3 - 1 - 163*k**3 + 12*k**2 - 2*k. Is b(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.09326 - -336460191.\nAnswer: 336460191.09326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111101001011111100 (base 2) to base 8.\nAnswer: -751374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h + 208 - 192. Find the common denominator of -31\/66 and 2\/(48\/(-87))*h\/(-2).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13*35\/(-100) + (-22680)\/(-18144).\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 bigger than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:40 PM and 9:05 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.4, 4, 1, -2\/31, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 10\/(-45) + 292\/18. Calculate the greatest common divisor of 16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, -5, -0.3, 3, 0.0428?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 5*z - 1. Let i(h) = -292*h + 72. Let q(t) = -53*t + 13. Let r(g) = -5*i(g) + 28*q(g). Suppose 8 = 4*m - 4*n, -1 = -2*n + 1. What is m*r(j) + 14*y(j)?\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v**2 + 5*v**2 - v**2)*(-v - v + 0*v) + v**3 + 3*v**3 - 3*v**3 + 4*v**3 - 4*v**3 - v**3 - v**3 + 0*v**3 - 2*v**3 + 3*v**3 - 5*v**3 + 0*v**3.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u + 4*r + 20, 3*u - u + r - 8 = 0. Solve -22 = u*l - 5*w, -3*w + 8 = -4*l - 5*w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1768 and 260.\nAnswer: 8840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8\/3 in -0.3, -4, -1, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 6\/25 of a millimeter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/36*(2 - 8). Suppose -12 = -h + j. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 799409869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are 23.6 and 14 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**2 - 7*t + 3. Let i be p(-6). Suppose 0 = 4*f + 4*z - i*z - 31, -14 = -2*f + 2*z. What is the lowest common multiple of f and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -19 (base 16) to base 9.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3356209897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5748864883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the third derivative of 0*c**4 + 1\/35*c**7 - 1\/10*c**5 + 0*c - 1\/8*c**6 + 2*c**2 + 5\/112*c**8 + 0 + 0*c**3. Find r such that o(r) = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -8, -24 = -2*a - 4*h - 0*h. Suppose -10*x + 30 = -a. Suppose -u + x*u = 620. List the prime factors of u.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6506243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 9:46 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -8, -6, -38 in ascending order.\nAnswer: -38, -8, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 4751810439 a multiple of 939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1 and 118.732.\nAnswer: 117.732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2 - v. Let k(r) = r**3 - 3*r**2 - 3*r - 1. Let z(a) = k(a) - 2*m(a). Give z(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 - 3. Solve t - 4*u = -14, -z*t - 4*u = -t - 18 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + 1 + 1 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 + -3. Let l = f - -19. Suppose -3*k - l = -96. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqqiqi. What is prob of sequence qqq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 85813?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 35 = -5*q, 30 - 15 = -3*g. Let h(o) = o**2 + 9*o - 35. Calculate h(q).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 454987 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*b + 9*b + 1 = 0. Let n(i) = 85*i**2 + i - 1. Is n(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1639*g + 1639*g - 4688*g**2.\nAnswer: -4688*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 5 times -0.11455\nAnswer: -0.57275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1407 - -1428. Solve r = 13*h - 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1135 + 1134.141. Let y = z + -0.121. Let r = -0.7 - y. Round r to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.094029486 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/5, 0.2, -30\/11, 67 in decreasing order.\nAnswer: 67, 3\/5, 0.2, -30\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < 2\/117562081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*s + 2*p + 22 + 3 = 7, 0 = 5*s - 4*p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (102\/119)\/(((-144)\/21)\/(-6)). Let x(k) be the first derivative of 19 + h*k**4 + 0*k**2 - k**3 + 0*k. Solve x(q) = 0 for q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-247)\/(-38) - 2\/(-4). Let z(v) = v - 5. Let b be z(0). Let m be ((-15)\/(-4))\/b*4. Let p(k) = 3*k - 9. Let l(c) = c - 4. Give m*p(q) + w*l(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the third derivative of -1\/60*c**5 + 0*c + c**2 + 0 + 1\/4*c**4 + 3\/2*c**3. Let v be o(7). Let p(i) = i**3 - 2*i + 1. Give p(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 12\/(-30)*(-25 + 10 + -5). Suppose -32 = -a*s - 8*s. Let x = -30 + 45. What is the lowest common multiple of s and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -125\/36 and -121\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (18\/36)\/(2\/316) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 + 5. Let w(v) = v**3 - v**2 - 4*v + 1. Let j be w(o). Let f(d) = j*d - d**2 - 1 + 2*d**2 + 2 + 1. Give f(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand b**5 - 2*b**5 - 3*b**5 + (2*b**3 - b**3 + 0*b**3)*(2*b**2 + b**2 - 4*b**2) + 3*b - 3*b - b**5 - 2*b**4 + 2*b**4 - 2*b**5.\nAnswer: -8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-308)\/60 + 3 - -2. Let s = -1 - -1.1. Let r = s + 0. Which is the nearest to r?  (a) 1  (b) -2\/11  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lillllielleelll. What is prob of sequence elil?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 - 10*n**2 - 19*n - 32. Let r be l(-8). Let o be (-12)\/48*(r\/6 - 0). What is the third smallest value in 0.7, -2, o?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -22757.9 greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 1)*(-l - 5*l + 4*l) - 32*l - 36*l + 63*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -12150 smaller than -12150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44765 = 995*k + 302*k + 12251 - 1245 for k.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.094?  (a) 1  (b) 3  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 4*t**3 + t - 1. Let f be s(1). Suppose 0 = -f*k - 0 + 8. Factor 4*m + 2*m**2 + k*m**3 - 44*m**3 + 0*m**3.\nAnswer: -2*m*(3*m - 1)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (15\/(-3))\/(-1 - 0). Let n be (r\/15)\/((-1)\/12). Let t(d) = -d**3 - 5*d**2 - 4*d - 2. Calculate t(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5)\/3 - 156\/(-52). Let n(h) be the first derivative of 4*h**2 + x*h**3 + 2 + 0*h. Find the second derivative of n(w) wrt w.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j - 65*k + 69*k = -22, 2*j + k + 3 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 3*n + 15. Let t be a(-4). Suppose 2*r + 86 = 4*x, 3*x + 0*r - 63 = t*r. Put x, -8, 0 in descending order.\nAnswer: x, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the third derivative of z**5 - z**2 - 127*z - 4. Let b(x) = 8*x**2. What is r(b(c))?\nAnswer: 3840*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zwzznwwn. Give prob of picking 2 w and 2 n.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1031*c = 319*c - 1327*c - 26507 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*t**2 - 5*t**2 - 7*t**2 - 2*t**2 to the form c + s*t + l*t**2 and give l.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes before 8:20 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 52605 and 43587?\nAnswer: 1525545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -20*26\/(-2600) + 41038\/10?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i\/(i**12\/i)))\/(((i*i**(-15))\/i)\/i))\/(i**(-2))**(-16) assuming i is positive.\nAnswer: i**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 71531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = -k + 1, -2*y + 5*k = -2249. What is the highest common divisor of 23 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 5 and 0.4283008672.\nAnswer: 5.4283008672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*m + 23*m = -460. Suppose -454*g + m*g = 1536. Calculate the remainder when g is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 6569565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**(-4))\/t**(-1\/3))\/(t\/((t*t**(-1\/4)*t)\/t*t))**47 assuming t is positive.\nAnswer: t**(487\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-2\/3)\/(x**(-6)\/x)*((x**(-10)*x)\/x)\/x**(2\/23) assuming x is positive.\nAnswer: x**(-259\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the third derivative of a**6\/120 - a**5\/30 + a**4\/24 - 19*a**3\/6 + 3*a**2 - 12*a. Calculate the remainder when 65 is divided by v(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21366 = 8*b + 5102. Suppose -2*y - 1041 = -b. List the prime factors of y.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 562 is divided by 315.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8\/3 + -7\/3. What is the nearest to 1\/5 in 2\/9, 3, i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*m = -8*m + m. Let n(u) be the third derivative of m - 1\/24*u**4 + 0*u + 16*u**2 + 0*u**3. Let j(r) = 9*r**2. What is j(n(g))?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -3\/10  (b) 1\/5  (c) 9.6  (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 17 - -113.307.\nAnswer: 130.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b + b + b)*(-3*b**4 + b**4 - b**4) + 27*b**5 + 322*b**3 - 322*b**3.\nAnswer: 24*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**2 - 38*b - 367. Let d be f(-8). What is the highest common divisor of d and 2251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:53 PM and 4:21 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -7*b**3 - 2*b**2. Let d be q(1). Let k be 2 + d + 7 - (0 - 11). Solve 0*h + m = 3*h + k, 4*h + 2*m = 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -16\/98697 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(833) + -1 + sqrt(833) + sqrt(833) + sqrt(833))*2 + (sqrt(833) - ((sqrt(833) - (0 + sqrt(833) - sqrt(833)))*-2 + sqrt(833))))**2.\nAnswer: -1680*sqrt(17) + 499824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*g + 2*g**2 - 2*g + (0 + 0 - 1)*(5*g**2 - 4*g**2 + g**2) + 4*g**2 + g**2 - 2*g**2 - 249 + 49*g**2 + 249 as n + p*g**2 + f*g and give p.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = -6*n + 13. Suppose -3*x + 31 + 47 = 0. Calculate the remainder when x is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*x**2 - 1353*x + 6690.\nAnswer: 3*(x - 446)*(x - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the second derivative of -3*n**4\/4 + n**3\/6 + 2*n. Find the second derivative of b(m) wrt m.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the first derivative of 5*n**4\/16 - 15*n**3\/4 + 75*n**2\/8 - 35*n\/4 - 2. Solve t(d) = 0 for d.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 + 5. Which is the third biggest value?  (a) s  (b) 0.5  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -3*z**3 + 4*z**2 - 2. Suppose 5 = 5*d, 0 = -t + d - 2. Let k(c) = c**3 - c**2 - 1. Determine t*p(l) - 4*k(l).\nAnswer: -l**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -7*k**3 + 2*k**2 + 12*k + 7. Let d(r) = -8*r**3 + 3*r**2 + 13*r + 7. Let f(a) = 7*c(a) - 6*d(a). What is the units digit of f(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*z - 3*a - 9 + 66, -132*z = a + 4*a + 2747 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of 2*j**5 - 3*j**2\/2 + 6. Find the second derivative of b(q) wrt q.\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 96002185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -325, -317, -289, -229, -125, 35, 263, 571?\nAnswer: 971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 762682530 a multiple of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the first derivative of -v**4\/4 + 4*v**3\/3 + 3*v**2 - 3*v + 2. Find the common denominator of 0 and k(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 102 divide 3546960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from allalllllllltllanala.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 76060.09 milliseconds to nanoseconds.\nAnswer: 76060090000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-648)\/5472 - (-8)\/228.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*h**2 - 15674*h + 15674*h + h**3.\nAnswer: h**3 - 24*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*r**4 + 88*r + 27*r - 4*r**4 + (5*r - r - 3*r)*(-r**3 - 3*r**2 + 3*r**2).\nAnswer: -2*r**4 + 115*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**2 + 7. Let k be (-5 + -2)\/(-1) + -3. Suppose 2*i = -8*i + 30. Let u(o) = 3 + o**2 - 6 - i. Determine k*t(j) + 5*u(j).\nAnswer: j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -7*c**2 - 3*c + 1. Let t(j) = j**3 + 2*j**2 - j - 2. Let r be t(-3). Let f(v) = 11*v**2 + 5*v - 2. Give r*x(g) - 5*f(g).\nAnswer: g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 5\/2*i**2 + 0*i + 35\/4*i**3 + 25\/4*i**4 + 0 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 - 340907.51.\nAnswer: -340908.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the third derivative of y**6\/60 - y**5\/30 - y**4\/12 + y**3\/6 + 22*y**2. Determine v(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:14 AM and 10:15 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10593 + -10597. Let m(o) = o**2 - 2*o + 4. Let y(f) be the second derivative of 5*f + 0 + 1\/2*f**2. What is t*y(d) + m(d)?\nAnswer: d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 54*d - 1. Let w(p) = -2*p - 1. What is b(o) + 2*w(o)?\nAnswer: 50*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x + 3*x - 3*x)*(2*x - 3*x + 5*x)*(14 + 20 + 3)*(-4 - 17 + 4).\nAnswer: 2516*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/(-12) - 5\/30?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-30)\/8 - (-6)\/(-24). Let y be (z\/6)\/(5\/315). Let w = y - -60. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23942741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -23760 or 2834?\nAnswer: 2834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*p + 16 = 16*p. Let q be 33\/5 + (-34)\/(-85). Solve -p*z = 5 + q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -20 and 47641601.\nAnswer: -952832020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the second derivative of -841*m**4\/4 + 5220*m**3 - 48600*m**2 - 4*m + 371. Factor w(i).\nAnswer: -3*(29*i - 180)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8 and 508?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.994561402 to 2 decimal places.\nAnswer: -0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-85 + 7*m**2 + 85)*(-527 - 2*m**2 - 2*m + 1110 - 545).\nAnswer: -14*m**4 - 14*m**3 + 266*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 509 and 828143?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 11*j**2 - 6. Let b(d) = 2 + 5 - 3 - 3. Let s(x) = -6*b(x) - k(x). Let t(f) = -f - 63 + 63. Determine s(t(r)).\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 563376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 267 a factor of 70488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/6 of a minute in seconds?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 71154, 284609, 640368, 1138431?\nAnswer: 1778798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + s = -7635, -16*q = -14*q - s - 3817. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 231504 and 60.2438?\nAnswer: 231443.7562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to -191\/15148639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/299, -2\/3, 7, -1, -0.03 in descending order.\nAnswer: 7, 2\/299, -0.03, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -272 - -309.7. Let z = 38 - u. Which is the closest to 4?  (a) 4  (b) z  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -6*l. Let m be s(-2). Suppose -16 = -3*d + 3*q - q, 2*q + m = d. Suppose -46 = -d*x - 0*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - t = -12. Solve 0*h**2 - 2*h**2 - t*h + 2*h = 0 for h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 202380342 and 32385.\nAnswer: 6477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -209 or -1044\/5?\nAnswer: -209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 21186 at least 21207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is sixteen fifteenths of a century in months?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001239 rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 7, a: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3300 and -0.3.\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4900\/11 + -2592078\/5819. What is the smallest value in 2\/15, 1.4, b, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 154*t + 15*t - 343200 = 4*t. What is the greatest common divisor of 1170 and t?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5\/(1125\/(-12))*(-984)\/1312\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/(-14)*((-3)\/(-1))\/9.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 4*c = -33, 2*c + 30 = -j + 5*c. Let z(h) = -18*h - 47. Is z(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2020644.317195242 - -2020446.6172. Let f = -197.7 - c. Round f to seven decimal places.\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -617 + 596 + p - 3*p.\nAnswer: -2*p - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j + 5 + 25. Let c be (-3)\/j - (-2)\/(-20). Factor 0 + c*b**2 + 0*b.\nAnswer: 2*b**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -p**3 - p**3 + p**3 + (-2 + 4 - 3)*(2*p**3 + p**3 - 2*p**3 + (p - 2*p + 2*p)*(-7 + 3*p**2 + 7)) as m*p**2 + h*p + g*p**3 + k and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -227125 + 86272. Let g be x\/(-145) - (-3)\/5. Suppose 60*d = 66*d - g. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1660.5693 and -1418.\nAnswer: 242.5693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/6 - 168\/(-18). Let r be (17 + -12)*8\/d. Suppose -2*g = r*g - 6366. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the second derivative of -17*j**6\/30 + 55*j**3\/3 - 2*j - 22. What is the second derivative of h(k) wrt k?\nAnswer: -204*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/517 and 27\/350107.\nAnswer: 181005319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 40\/39, 0.37, -1\/4 in decreasing order.\nAnswer: 40\/39, 0.37, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2718160*p**2 + 1934944*p wrt p?\nAnswer: 5436320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 170863.921 - 153871.72212. Let g = -16994 + l. Let n = -1.8 - g. What is n rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (6 + 0 - 15) + (6 - 5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 2*k = -19, -4*k = 4*x - 54 + 6. Calculate the remainder when 3252 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand q + 2 - 2 + (-3 + 5 + 0)*(-q + q + 3*q) + 0*q + 2*q + q + 2*q - 2 + 2.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sum -16.28 and 1254274.\nAnswer: 1254257.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11*k**2*w**4 + 3*k**2*w**3 + 152*k**2*w wrt w.\nAnswer: 132*k**2*w**2 + 18*k**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-26)\/(-10) + (-21)\/35. Solve s*b + 12 = 2*m, -4*m + 14 = -3*b - 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 396784.\nAnswer: 2, 24799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -23 equal to 1020577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 142105 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -60*i + 44 - 19 - 21 to the form f + y*i and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*j = 58*j - 91. What is the highest common factor of 896 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 24 + -3739179?\nAnswer: -3739155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2111304 is divided by 1401?\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 2*((4 + sqrt(1700) - sqrt(17))**2 - sqrt(17))*5 + 4.\nAnswer: 710*sqrt(17) + 13930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 1\/6, 313, -2\/3, -1\/2, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 12*q + 1. Let u(x) = 47*x + 4. Let l = 6262 - 6271. What is l*a(b) + 2*u(b)?\nAnswer: -14*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 90391576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from brrwrrowrrorrrrw. Give prob of sequence woo.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2425 and 1358?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 386729 and 91.\nAnswer: 5027477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -25243, -25899, -26985, -28495, -30423?\n\"Answer: r**3 - 221*r**2 - 25023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 + o**2 - 2*o. Let k(f) be the first derivative of -2*f**3 - 5\/4*f**4 + 0*f + 11\/2*f**2 + 3. Let y(g) = 4*k(g) + 22*x(g). What is a in y(a) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mrmmjjmjjm. What is prob of picking 2 j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*a = 4*x - 132 - 0, 4*x + 28 = a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*y + 25 = -24*y. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7594, -7595, -7596, -7597, -7598?\nAnswer: -7599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -58*f**2 - 70*f**3 + 58*f**2 + (-4*f**3 + f**3 + 4*f**3)*(-1 + 1 + 1) + 3*f**3 - 2*f**3 + 8*f**3 in the form c*f**2 + y + a*f**3 + w*f and give a.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -554034*g**3 - 13*g - 14*g + 27*g.\nAnswer: -554034*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 5*x + 1. Let p(m) = 4*m + 1. Let r(u) = u + 15. Let q be r(-7). Suppose l + 3*l = 5*c + q, 0 = -5*c + 2*l - 14. Calculate c*p(h) + 3*v(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 30.10517 * -0.2\nAnswer: -6.021034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18.2 + 16. Let j = -2.9 - h. Let v = -1.4 - j. Round v to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 51448282 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/((-4)\/12*(-306)\/34)?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 65 = -5*g, 2*k - 3*g + 1 + 20 = 0. Let f be -4 - k - (-1 + 4). Solve 0 = -0*l + f*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t + 3*t - 5*t. Let d(x) = -x. Calculate d(w(c)).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 175\/(59500\/(-1632)) - 28\/(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -a84329 (base 11) in base 4?\nAnswer: -12213023230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 138691?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) + sqrt(63)\/sqrt(441))**2 - (0 + (0 + sqrt(7))**2).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -474  (b) 3  (c) -9  (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2147?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j - p, -2*j + 2*p = -5*j. Sort 5, j, 1 in decreasing order.\nAnswer: 5, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 11092, 10401, 9692, 8959, 8196?\n\"Answer: -c**3 - 3*c**2 - 675*c + 11771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -3*f**2 - 7244*f + 160814. Calculate q(22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a micrometer in nanometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = m, 4*n - 11 = -0*n + m. Calculate the lowest common multiple of ((-3 - -1) + 0)*-4 and (n\/5)\/(1\/10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -266 = 14*i - 33*i. What is the remainder when 827 is divided by (-5)\/10 - (-973)\/i?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 9\/25 of a meter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 3*p - 74. Let k be d(17). Let q = -35 - k. Put q, 5, -5 in decreasing order.\nAnswer: 5, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:09 PM and 8:16 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 3*y - 13. Let c(o) = -3*o + 14. Let u(d) = 3*c(d) + 4*s(d). What is the units digit of u(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1538.\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48 = -42*u + 50*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1452\/5?  (a) 0.2199  (b) -2  (c) -5  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**5 - 82*t**4 + 546*t**3 - 846*t**2.\nAnswer: -2*t**2*(t - 3)**2*(t + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28\/(-5) - (17 + -12 + -10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 127047502?\nAnswer: 2, 63523751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88*g - 408*g - 139 - 117 - 2*g**4 - 13*g**3 - 15*g**3 - 144*g**2 = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-7)\/(19964\/961) + 2\/23. What is the third biggest value in 0.119, d, 19, 1\/7?\nAnswer: 0.119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 873.2542 millilitres?\nAnswer: 0.8732542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-5 + sqrt(11)*2*6 + sqrt(11) + sqrt(11))**2 - ((6*sqrt(77)*-1 - sqrt(77)) + sqrt(77))\/(sqrt(175)*-1 + sqrt(175) + sqrt(175))) + 5.\nAnswer: -13081 + 4206*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (15\/4)\/(-10 + (-11479)\/(-1144)). Solve -85 = -5*b - k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-2)*3*((-13570)\/(-177))\/23?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 323201479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k**5 + 3660*k**4 + 149810*k**3 + 412680*k**2 - 149805*k - 416340 = 0. What is k?\nAnswer: -36, -3, -1, 1, 771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add 34612 and 5.\nAnswer: 34617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**3 + 2*i**2 + 3*i + 1. Let m be p(3). Let q be (-147)\/12 - m\/(-4). What is the units digit of (q\/18)\/(1\/(-27))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the first derivative of -1\/2*l**2 + 4*l + 1. What is q(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.13367 * -0.2\nAnswer: -0.026734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1760 and 126500?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000072949 to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -523405 + 5?\nAnswer: -523400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes after 1:57 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32 + 0.177.\nAnswer: 32.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/4)\/(((-3)\/(-72))\/((-3)\/(-21)))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n**3 - 8*n**2 + 7*n + 13. Is j(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*p**3 - 23*p**2 + 8839*p - 8839*p + 10*p**2 + 13*p**2.\nAnswer: -19*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 589 in -3, -25, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**2 + 2*d - 5. Let r be a(-4). Suppose 0 = -5*k - r*h + 9328, -5*k = -4*k - 2*h - 1863. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*v**2 + 3*v**2 + 3*v**2 + 3*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2201 is divided by 129?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 10136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27 - 10 - (5 - -23).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + (-5 - (3 - 6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 163*h**3*k**3 - 26887*h**3 + 2*h**2*k**3 + 3*h**2*k**2 + 16*h*k + 11*k**2 + 154*k wrt h.\nAnswer: 978*k**3 - 161322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 56.75 - 0.75. Let y = -58.7 + k. Let g = y - 3.3. Which is greater: 2\/3 or g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -19 - -31. Suppose -9*k = -a*k. Suppose -3*f + 4*f - 9 = k. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(171) + (sqrt(171)*3 - sqrt(171))) + sqrt(171))\/(sqrt(108)\/(sqrt(24)\/sqrt(2))).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13 - 11. Let u be (d*(-26)\/20)\/((-8)\/(-10)). Which is the second biggest value?  (a) u  (b) 4  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 258 = 2*v - 580. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 98, -3, 15615, 1, 0 in ascending order.\nAnswer: -3, 0, 1, 98, 15615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -41 + -9. Let a = -41 - s. Is 32 a factor of 3\/a*-3*-45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6)\/4 + (-11)\/(-22). Let w be 15\/(-3 - -8) - b. Let -18*p - 5*p**3 + 23*p + 16*p**4 - p**w - 25*p**2 + 10 = 0. Calculate p.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55126.4m in micrometers?\nAnswer: 55126400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 144623336 a multiple of 572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1293, 13.31, 1\/5?\nAnswer: 13.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = -5*a + 5*r, a + 2*r = 4 + 5. Suppose -q = -3*i - 2*q + a, q - 3 = 0. Let h(u) = 7*u + 10 - 12 + i. Let g(c) = -4*c**2. Calculate g(h(k)).\nAnswer: -196*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94*k - 71*k - f = 44, 3*f = 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 4380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 617117648?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = -2*a + 6. Let l(t) = -2*t**3 - 3*t**2 - 3*t. Let x(z) = -4*z**3 - 5*z**2 - 5*z. Let c = -12 - -7. Calculate a*x(i) + c*l(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*-6*(-15)\/36.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 4*r**3 - 572*r**2 - 1163*r + 6. Let l(p) = 28*p**3 - 4004*p**2 - 8140*p + 40. Let d(c) = -20*h(c) + 3*l(c). Suppose d(w) = 0. What is w?\nAnswer: -2, 0, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-12)\/(-18))\/((-44)\/12). Let p = -0.07 + 1.07. What is the nearest to -2\/7 in w, 5, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -22 + 23. Let k be 10\/61*(-9)\/(-18). Let o = 337\/2623 - k. Is o smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 21169102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from ggeusegasgtauaguggag.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/5, 1, -228236 in increasing order.\nAnswer: -228236, -4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, -978, 1\/8, -1954?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 71814357 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20345, -20359, -20351, -20321, -20269, -20195, -20099?\nAnswer: -19981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4200*i + 4202*i - 4*q = 72, -41 = 5*i + 3*q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.8?  (a) -11  (b) -0.3  (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13760388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (13 + 1 + 10 + 0)*(0*c - c - 4*c) as g + x*c and give x.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 14*p + 4 = -12*p, p + 16 = 5*v. Let -3\/4*j**2 + 0*j + 1\/2*j**3 + 0 + 1\/4*j**v = 0. Calculate j.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 3*v - 5*d, -4*d + 3 = -3*d. Suppose -v*h + 30 = -0*h. Let x = 45 - 1. What is the remainder when x is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -29*f - 33*f - 11*f + 41*f + 32 to the form q + r*f and give q.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1))**(-5\/6))**(-1\/3) assuming y is positive.\nAnswer: y**(-5\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -42580, -42579, -42578?\n\"Answer: p - 42581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, 3.6, -1\/16, 4, 5?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l\/l**(-1\/20))\/l**(-3\/11) assuming l is positive.\nAnswer: l**(511\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - 164\/(-40))*54\/9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 3*y + 11. Let p be u(-2). Solve 4*a = 4*w, -4*w - 2*a = -p*a + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000005181 to seven dps.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 less than -105852.61?\nAnswer: -105853.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-3)\/(z\/((z\/((z*z*z*z**(-4)*z)\/z))\/z)))\/((z*z**(-1\/4))\/(z\/(z*z**6\/z))))\/((z**1)**(-27)*(z**5\/z)\/(z*z**3*z*z)) assuming z is positive.\nAnswer: z**(81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -34.028 + 0.028. Let l = q + 33. What is the nearest to 1 in l, -1\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -175\/13 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1906 + -191?\nAnswer: 1715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 539.026*-8.71\nAnswer: -4694.91646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3763 is divided by 522?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 94129000 rounded to the nearest one hundred thousand?\nAnswer: 94100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*x**3 + 11*x**3 - 35*x**3 + 5*x**3 - 8*x**3.\nAnswer: -30*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3397*x**4 - 240*x + 145*x + 95*x - 53376*x**4)*(0 + 0 + 1).\nAnswer: -49979*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 126179760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**11)\/(x\/((x*x**4*x)\/x))*(x*x**0)**26 assuming x is positive.\nAnswer: x**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*l + 3*l - 6*l + 30*l**2 as f + v*l + r*l**2 and give r.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 94\/2151?\nAnswer: 94\/2151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 3*o**2 - 1240*o + 1217. Let u(t) = 2*t**2 - 1240*t + 1222. Let g(z) = -5*u(z) + 4*y(z). Let g(b) = 0. What is b?\nAnswer: -621, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 30*r**2 - 73*r**2 + 2*r**3 + 41*r**2 - 3*r**3 - r**3 + 5*r**3 + (1 + 2 - 2)*(-4*r + 2*r**3 + 4*r).\nAnswer: 5*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 15*z + 240. Determine j(-13).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 456 - 436.9. Let v = 20.1 - r. What is the third smallest value in v, 1\/2, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2353198424?\nAnswer: 2, 294149803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(3\/23)\/l*l**(8\/7))**(-23))**(18\/5))**0 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**3 - 10*c**2 - 29*c + 15. Suppose -4*w - 5*s = -w - 39, 52 = 4*w - s. Is l(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*r + 18921 + 3134. Let g = r - -1938. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 133 and 28434?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*k**3 + 6*k**3 + 14*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 943 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a + 17. Let y be (36\/16)\/(15\/40). Let i be c(y). Which is smaller: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 3*r + 5. Let b be g(0). Sort 2, b, -4 in decreasing order.\nAnswer: b, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 185 - 216. Let n be 1*-4 + (7 + j)\/(-12). Let r(a) = -8*a + 1. Determine r(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -21, -12, 3, 4 in decreasing order.\nAnswer: 4, 3, -12, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11721185.\nAnswer: 5, 7, 334891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 13a5 + 6d1?\nAnswer: 1a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*d**5 + d**5 - 121637*d**4 - 4105*d + 118868*d**4 wrt d.\nAnswer: -20*d**3 - 33228*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 - 790*g**2 + 393*g**2 - 4*g**3 + 394*g**2 + (2 - 6 + 3)*(2*g + g**3 - 2*g).\nAnswer: -5*g**3 - 3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 132 and 4818.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1173 smaller than 689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 4*i + 80 = 0, 3*h + 123 = 3*i + 6. Let n = 44 + h. Suppose 2*d = 5*l - 26, 0 = 2*l + l - n. What is the second smallest value in d, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q + 3*b = -82 - 92, 3*b + 23 + 149 = -4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:52 AM and 10:51 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*m - 3*m + m**4 - 4*m**4 - 3*m**4 + 4*m**4 + (-11*m + 11*m + 4*m**3)*(3*m - 2*m - 2*m).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -123480 divided by -24696\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*-2*sqrt(88) + sqrt(88) - sqrt(88)) + sqrt(88) + -1*(sqrt(88) - (sqrt(88) + -2*sqrt(88))))\/(sqrt(16)\/((1*sqrt(4))\/sqrt(2))).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 11*w - 7*w + 8*w**2 + 7*w - 7 + 12*w. Let i = 14 - 3. Calculate the remainder when m(-4) is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*h + 18*h - 6*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**3 + 13*q**2 - 2*q - 4. Let l be ((-13)\/(-4))\/((-9)\/36). Is b(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14093*z = -14077*z - 1152 for z.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -336153.996 - -337589. Let z = -1440 + i. Let s = 0.004 - z. Which is the closest to 0.1?  (a) s  (b) 1.6  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6034 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 117724 - -64279. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -45 (base 9) to base 6\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**3 - 12*n**2 + 16*n - 8. Let g be l(11). Suppose 2*x = -3*f + 20, -2*f - g + 7 = -4*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**3 + 7*y**2 + 10*y - 7. What is i(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 2*r**2. Suppose -2*b = -4*b + 4. Let c(m) = 0*m + 0*m - b*m. Give w(c(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jl when two letters picked without replacement from mlqlljjlq?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*j - 8 + 0*j + 4)*(-3 + 0 + 1) to q + v*j and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the second derivative of 128*r**3\/3 - 119*r**2\/2 + 28*r. Differentiate k(z) with respect to z.\nAnswer: 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*b**2 + 18918140*b + 17894801052980.\nAnswer: 5*(b + 1891814)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaoiaafoaonf. What is prob of sequence aof?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -s - 129. Suppose 19*r - 2*r - 1445 = 0. Let j = r + s. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 726 by 242.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-1)\/u*u)**(-1)*u*u**(-2\/9)*u**(4\/7))\/(u**2*u\/u**2*(u**1)**(-46)) assuming u is positive.\nAnswer: u**(2983\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 40177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -280*n**3 + 2*n + 2*n - n - 32*n**4 - 201*n**3 + 30*n**4 as m*n + s*n**3 + b*n**2 + o*n**4 + c and give s.\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 + 6. Let a = 0.075 + s. Round a to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -896247960 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange z**3 - 42 - 1726*z**4 - z**3 - 3*z**2 + 1730*z**4 to n*z + b*z**2 + g*z**4 + q*z**3 + s and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -24 at most as big as -1\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 2*m**2 - 7*m + 5. Let d(o) = -3*o**2 + 15*o - 11. Let p(x) = 6*d(x) + 13*l(x). Let z be p(1). Calculate the greatest common divisor of 48 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-15))\/(12*5\/45)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 200, -58, 0, -2, 5, -12 in decreasing order.\nAnswer: 200, 5, 0, -2, -12, -58","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Is 131773199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -4*c**2\/7 - 27454384*c\/7 - 47108950051216\/7 = 0.\nAnswer: -3431798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1110 (base 2) to base 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 142 - (26 - 15 - -82).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.03 + 0.27. Let b = 2.3 + -4.4. Let u = 0.1 + b. Is u at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(35) + sqrt(35) + sqrt(70)\/sqrt(18) + sqrt(35))\/(sqrt(21)\/sqrt(3)*-4) - (4*sqrt(210)\/sqrt(6))\/(sqrt(42)\/sqrt(6)*-3).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -59 + 60. Let p be -5701 + 1*1\/v. Round p to the nearest 100.\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(304) + 1)**2 + (sqrt(76)\/sqrt(4) - sqrt(19))**2 + 2.\nAnswer: 8*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*m*o**2*w**3 - 8*m*o**2*w + 8029*m*o*w**3 + 4*m*o*w**2 + 29*o*w**2 wrt w?\nAnswer: -30*m*o**2 + 48174*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 32238 a multiple of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from apapaaaapap. What is prob of picking 2 a and 2 p?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 24628 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or 1081\/913?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -256dac83 + 0?\nAnswer: -256dac83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01446677823 rounded to six decimal places?\nAnswer: -0.014467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 34, 194.\nAnswer: -2, 34, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i - 74 - 16. Suppose -x + i = -v, 6 = 2*v + v. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of h**3\/3 + 55*h. Let r(k) = -k. Calculate r(d(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -9 - (-5)\/(15\/6). Let i(m) = m**2 - 6. Let k be 4\/10*(-10)\/(-2). Let t(b) = -4*b + 2. Let l be t(k). Let h(o) = -o**2 + 7. Calculate l*h(g) + v*i(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -178229*h**3*i**2 + 5*h**3*i - 11*h**2*i**2 + 1825*h*i**2 - 11*i**2 + 2*i wrt h?\nAnswer: -1069374*i**2 + 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 3 + (-3 - -4) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*n**4 - 5*n**4 + 5*n**4)*(-4 + 1 + 2) + n**2 - n**2 - 2*n**4.\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3 + 7*f - 16*f + 9*f - 10*f**2 wrt f?\nAnswer: -20*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -36*k**3 - 106*k + 106*k + (-3 + 3 + 1)*(-2*k**3 + 2*k**3 + 3*k**3 + (-4*k - 2*k + 0*k)*(3*k**2 - k**2 + 0*k**2) + 11*k - 2*k**3 - 11*k).\nAnswer: -47*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -46 - 20. Let i = 175 + -191. Let f = v + i. Solve 4*s + s = -j + 7, 4*j + 3*s = -f for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1150, 1085, 890, 499, -154, -1135, -2510, -4345?\n\"Answer: -11*u**3 + u**2 + 9*u + 1151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 + (1 - 4 - 2). Let j = -5 - h. Let b be 2 + j - 46\/50. What is the third smallest value in -3\/5, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67939500 to the power of 1\/3, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3162\/667 - 140\/29. What is the nearest to 13 in 0.05, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -5*w + 11, -5*r = 5*w - 10. Let m(s) = s**3 + 5*s**2 + 4*s. Let t be m(-3). Let u be -3 + t\/2 - -2. Solve 6 = -f - 3*g + 2, -5*f = -u*g + r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**3 - 9*g. Let l be r(3). Solve 0 = 5*o - 2*s - 15, 5*o - 5*s - 47 + 17 = l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 23 - -222?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -116, 9, -0.5, 0.1.\nAnswer: -116, -0.5, 0.1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*p - 3*p + 5*p)*((0 - 1 - 1)*(0 - 1 + 3) - 7 + 3 - 10) to the form b + r*p and give r.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*h - 25824 = 2*h. Let t = 560 - h. Solve 3*z - 7 = -t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -497 and -0.4.\nAnswer: 198.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5393\/3 + -1798. Which is the biggest value?  (a) 0.5  (b) -5  (c) -3  (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 3*u + 13, f - 4*u = -2*f + 22. Let y be 4\/32 - f\/(-16). Let q be -1 + 4 + (-2 - -3). Solve q*t = y - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 172 a factor of 76238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -274, -1092, -2444, -4324, -6726, -9644, -13072?\nAnswer: -17004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 373?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 38 and 1434899?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -80254 at most as big as -80242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(180)*-1 + 3)**2 + (sqrt(180) + -1*sqrt(180) + sqrt(180))*5 + (sqrt(100)*1)\/((sqrt(60) + sqrt(60)*1 + sqrt(60))\/sqrt(12)).\nAnswer: -16*sqrt(5)\/3 + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -227\/10174 - -399440\/5020869. Calculate the common denominator of 39\/1034 and l.\nAnswer: 21714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 529 - 535. Let h(v) = v. Let w(f) = -4*f. Let r(u) = t*h(u) - w(u). What is r(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**3 + 17*g**2 + g + 10. Let r be l(17). Which is smaller: r or 29?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -37, 23, -4?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + o + 17 = -3*k, -o - 1 = 0. Let y = -5 - k. Suppose -p = -y - 9. Solve -2*z - z = -p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8299.5751 minus 43?\nAnswer: -8342.5751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -459119908.9 rounded to the nearest 1000000?\nAnswer: -459000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 23962959 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 94208 divided by -92\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g**3 + 0*g**3 - g**3)*(g - 2*g + 2*g) + 4*g**4 - 3*g**4 + g**4 + (3 - 6 + 0)*(-3*g**3 - 2*g**4 + 3*g**3).\nAnswer: 7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (49 + 0 - (-2 - 8 - -19)) + 2 + 2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-21)\/(-126))\/(27\/(-1620))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -41234 + 41263 + (-2 - (-1 + 1 - -1))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -8 + 5 + 0 - 7*w as n + t*w and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**3 + 114*y**2 + 22*y - 4758. Does 14 divide h(-112)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x*x\/(x*x\/((x*x\/(x**(1\/4)*x)*x)\/x)*x*x)*x**(3\/4)*x**(-3)*x**(-3)*x**(-1\/8)*x*x\/x**7*(x*x\/(x**(2\/9)\/x))\/((x*x**8*x*x)\/x) assuming x is positive.\nAnswer: x**(-1357\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 672893 to the power of 1\/2, to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2239 + 2239.6. What is the second biggest value in k, -4, -13, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.02 - 0.02. Let l = 2.04 - z. Let b = -0.6 - l. What is b rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mssmsmmsmmmmmmsmmmm. Give prob of sequence mmm.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -285.12 * -10\nAnswer: 2851.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 5837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 2*b + 20 = 0. Suppose -5 = -3*h + b. Let s(z) = z**3 - 4*z**2 - 5*z + 6. Determine s(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -420027259 take away -4108?\nAnswer: -420023151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the third derivative of -k**6\/420 + 17*k**5\/210 - 95*k**4\/84 + 25*k**3\/3 + 18*k**2 - 4*k. Factor v(j).\nAnswer: -2*(j - 7)*(j - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1190*v**6 - v**4 + 2*v**2 - 3*v - 1637.\nAnswer: 142800*v**3 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**2\/2 - 1941369*c\/2 - 11647998.\nAnswer: -3*(c + 12)*(c + 647111)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d + 31 - 41 = -g, 16*g - 30 = -d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.6178 + 1.3822. Which is the nearest to -1\/3?  (a) 4\/3  (b) 0.3  (c) q  (d) 71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 68*o + 233*o - 5*o.\nAnswer: 296*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -310, -544, -778?\n\"Answer: -234*h - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4 and 440.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the third derivative of -q**6\/60 + q**5\/30 + 46*q**3\/3 + q**2 + 2*q. What is the third derivative of z(v) wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3 or -33695\/10876?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4.4 + -23.6. Let h = -27.924 - a. Round h to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*m + 32*m = 5775. Is (72\/15)\/(-1 + m\/(-225)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 6 - 28 = 0. Let k = n - -46. Suppose 2*s - k - 36 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21 (base 9) to base 5.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-4\/5)*h*h**(1\/11))**(1\/42)\/((h**(7\/3)*h*h\/(h*(h*h*h**(6\/7)*h*h)\/h))\/((((h**(-4)\/h)\/h)\/h)\/(h**(2\/5)\/h))) assuming h is positive.\nAnswer: h**(-6779\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*m + 11*m - 2*m**3 - 32*m.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ifzq when four letters picked without replacement from {f: 4, t: 10, z: 2, i: 1, q: 2}?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, -8616.\nAnswer: -8616, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 2895971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the second derivative of 15*a - 5\/2*a**3 - 7\/3*a**4 + 0 + 0*a**2. What is the second derivative of l(f) wrt f?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z**2 + 53090*z + 53095 = 0. Calculate z.\nAnswer: -1, 10619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 + 4. Let o(k) = -2 - 3*k - 7*k**2 + 8*k - 3*k + 9*k**2. Calculate o(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(-1))**(6\/19))**(-2\/31)\/(g\/(g**(2\/9)\/g*g)*g*g**(-4)*(((g**(-2\/3)*g)\/g)\/g)**(-19)) assuming g is positive.\nAnswer: g**(-265\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, g: 5, q: 4, o: 6, z: 3, a: 1}. What is prob of picking 2 a and 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 336 + -983\/3. Let i = -1868 - -50446\/27. What is the common denominator of i and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r**2\/7 + 33681358*r\/7 + 33681356\/7 = 0. Calculate r.\nAnswer: -16840678, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 7*w. Let k(h) = 2*h**3 - h**2 - 6*h + 3. Let y be k(3). Let f = y + -24. Let g(s) = -5 - 1 + 4*s**2 + f. Calculate g(d(t)).\nAnswer: 196*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -682 and 951500?\nAnswer: -648923000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 2, -4, 133, -33, 3, 8 in ascending order.\nAnswer: -33, -4, -2, 2, 3, 8, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 8\/(-6)*108\/(-48). Sort 2, s, 0 in decreasing order.\nAnswer: s, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2458 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the third derivative of -19*r**4\/8 + 3115*r**2. Let z(u) = 18*u**2 - 1. What is z(o(x))?\nAnswer: 58482*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 741.599 millilitres to litres.\nAnswer: 0.741599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 24933790 by 712394.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 7, y: 8, n: 3, h: 2}. What is prob of picking 2 h, 1 n, and 1 i?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 + -7. Let t be (18\/21)\/((-1)\/k). Suppose -4*c + t = 3*u - 7*c, -2*c + 31 = 3*u. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8557 divided by -500\nAnswer: 8557\/500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -18*b**2 - 1619*b + 99. Give l(-90).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.6 * 0.036\nAnswer: -0.0216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-399)\/38 + 7)*12?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5827?\nAnswer: 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (-4 - (-6 + 3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 divide 109020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10857 - 10857.000002191. What is o rounded to 7 decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50\/(-75) + 7120\/6.\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1400 + 1407. Solve -2*w + 7*w = 2*j - 8, 5*w - 3*j = -i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 8 = -3*i, -2 = -2*i + 6*i + l. Is 15 a factor of 12 + -1*(i - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.205 in 185\/3, -0.5, 0.03, -1, -0.1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 8*k**2*u**2 + 12*k**2*u + 2*k*u - 117*u**2 - 2 wrt k?\nAnswer: 16*k*u**2 + 24*k*u + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*s + 2061*s**3 - 6*s + 8981*s**3 + 130*s**3 + s**2 in the form n + i*s**3 + h*s + v*s**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 14092567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - -4 - (4 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.18 and 4378.3.\nAnswer: 4378.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.4373 times -0.0151\nAnswer: 0.00660323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5778?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 29034920 equal to 29034935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -198, -2065, -7126, -16977, -33214, -57433?\nAnswer: -91230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**4 - 1065*s**3 + 51609*s**2 + 106417*s + 53742.\nAnswer: (s - 1014)*(s - 53)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4138 bigger than 4138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132965 - 904885 = 20*x - 60*x. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*u**3 + 17*u - 1470*u**4 + 1 - 4 - 9*u + 2*u + 1472*u**4 as a*u**3 + h + w*u**2 + b*u**4 + t*u and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 - 37. Let t = -44 - z. Solve -2*g - 4*x = -16, 0 = -g - x - t + 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -76, -155, -234, -313, -392?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 2 = -0, 0 = s - 5*k - 94. Let t = 26 - 51. Let v = t - -37. What is the greatest common factor of v and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -5  (b) -1  (c) -11  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-27)*(-93)\/62.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 11210 (base 4) to base 6\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 339 by 290.\nAnswer: 339\/290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f + 3*f = 28*f + 405 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*w + 52*w = -h - 16, 32 = -4*w - 5*h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 29020728 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -145 - 4*u**3 - 150 + 295.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (4\/(-6))\/(6\/(-63)). Let x(r) = -r + 5. Let h be x(i). Let t = h - -5. Solve t*m = -0*m + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 5, z: 3, w: 3, y: 1, f: 1}. What is prob of picking 1 o and 1 z?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**2 - 24*z + 122. What is the units digit of u(-25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 618595091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.9 + -12.9. Let h = t - -15. What is the nearest to -1 in -1\/5, h, 2\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 2*b**2 - 5*b + 2. Suppose -5*t = -18 + 3. Let j be h(t). Solve -j*r + 11 = 2*u, -4*u - r + 11 = -2*r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -125\/106288 and 107\/1248.\nAnswer: 637728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -7*n - 7. Let t(y) = 4*y + 4*y + 9*y + 0*y. What is x(t(o))?\nAnswer: -119*o - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 105 and 13755?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -215 * 115818\nAnswer: -24900870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7163 is divided by 281?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -69186, -704, 2\/13 in decreasing order.\nAnswer: 2\/13, -704, -69186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 92 + (1 - (-13 + 47)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2*(-1 + (-12)\/(-8)). Suppose 2*t - 84 = 4*t. What is the common denominator of ((-10)\/11)\/1 + i and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6116.019t to nanograms.\nAnswer: 6116019000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 2*x - 40 = 0, 5*g - 62 = -3*x + 4. Suppose -p - 4*v + 10 = -30, p - 34 = -2*v. Solve -p = -4*q - g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-7)\/(-3))\/((-5)\/(-15)). Solve 9 = 4*w - v*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 22\/195 + -4\/15. Let r = 819 + -819.4. Which is the nearest to -1?  (a) 2\/9  (b) g  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than or equal to -25\/473658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3056281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -7*m - 7. Let i(n) = n. Calculate -5*i(b) - t(b).\nAnswer: 2*b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -9*v**3 + 11968*v**2 + 14628*v + 17300. Determine n(1331).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -227781 + 227783 - 33*y - 126*y in the form l*y + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/14 - (-152)\/(-476)*17.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22064 divided by 4.\nAnswer: 5516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 205, 435, 687, 955, 1233, 1515, 1795, 2067?\n\"Answer: -a**3 + 17*a**2 + 186*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 4, 2, -3, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/1)\/(-9 + 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2*t**2)*(1 + 1 + 5) + (3*t**2 + 0*t**2 + 0*t**2)*(-1 - 3 + 2) + (4*t + 4*t - 5*t)*(-4 - 3 + 5)*(-3*t + 2*t - 2*t).\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = m - l, -92*m + 90*m + 14 = -4*l. Sort m, 2, -1\/46.\nAnswer: -1\/46, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x = -4*p - 19, -x = -0*p - 5*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 5*p - 376 = 999, o + p = -343. What is the hundreds digit of 4\/(-5) - 209372\/o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**4 - y**3 - y**2. Let n(p) = 15*p**5 - 54*p**4 + 57*p**3 + 30*p**2 - 84*p + 24. Let c(h) = n(h) - 12*s(h). Suppose c(k) = 0. Calculate k.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**2 - v + 3. Let o be 5\/(-15) + (-7)\/(-3). Let j be (6\/o - 2)*5. Is 14 a factor of c(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 224 + 0 = 0. Let n = c - -97. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 - 3. Let c = 303 - 302.8. Let y = -2.2 - -2. What is the nearest to q in c, -1\/4, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -206*h - 151*h + 2 + 191*h - 19*h**2 - 170*h + 16*h**2.\nAnswer: -3*h**2 - 336*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 6 - (-2 + (14 - (4 - -2)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -17*r**4*s**2 + 206*r**4 - 23946*r*s**2 - s**2 wrt r.\nAnswer: -204*r**2*s**2 + 2472*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -735 + 1389. Let l = -653.9 + k. Put 3, -0.1, l in decreasing order.\nAnswer: 3, l, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1376 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 v be -1 - (230\/25 - 11). Which is the second smallest value?  (a) 2\/3  (b) -1  (c) 20  (d) -1\/8  (e) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = -2*t + 3, t - 8*i = -70 + 43 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s = -37 + 52 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000102814153 to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 340027964 is divided by 111?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 51188580\/4796 + (-1 - (-18)\/22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29824 + 262.29.\nAnswer: 30086.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 147, 536, 1173, 2058, 3191, 4572, 6201?\n\"Answer: 124*y**2 + 17*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 181035 and 345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.13 and 1851.\nAnswer: -240.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 38610008 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 246*h**3 + 75*h**2 + 20*h + 1278 wrt h?\nAnswer: 1476*h + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 3605 divide 84973455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the first derivative of -2*z**3\/3 + 6*z + 54. Suppose j - 6 = -18. Let v(m) = 1. Calculate j*v(b) + 2*y(b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.212 times 6?\nAnswer: -1.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, j: 1, d: 4, o: 1, v: 6}. Give prob of sequence vj.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes before 1:17 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 41135373 divided by -3\nAnswer: -13711791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-19 - (18 - (-8 - -19) - 21)) + -84?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 22551 - 450923\/20. What is the common denominator of 1*2 - 15\/(-54) and y?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 74\/459 and -73\/1224?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (12\/8)\/(6\/16). Let b(z) = -z**2 - 3*z + 2. Let y be b(-2). Solve -2*i - y = k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -247 + 75. Suppose 5*n = 20*n + 1530. Let s = n - w. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -24 + 24.09. Let c = 1.62 + -3.62. What is the second smallest value in c, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9316429 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 72 - 69. Solve -w - d + t*d + 13 = 0, -2*w - 4*d = 6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 2*c**2 + 4*c. Let i be p(-3). Suppose i = 5*f - 3*r, 0 = -0*f + 3*f + 4*r - 21. Let l be (-17)\/20 - f\/(-12). Sort 2\/11, l, -4.\nAnswer: -4, l, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 153 + -149. Suppose -k*z + 284 = 44. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3847 and 5.\nAnswer: 19235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 1440*b - 5 + 363*b.\nAnswer: -1077*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10575 - 10535. Calculate the least common multiple of 1445 and v.\nAnswer: 11560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/49157392 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i = p + 55, 4*p + 5*i - 939 = -859 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the first derivative of -n**5\/210 + n**4\/42 - n**3\/21 - n**2\/2 - 5. Let x(q) be the second derivative of r(q). Factor x(p).\nAnswer: -2*(p - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*o**4 + 9*o**3 - 173*o**2 - 368736*o.\nAnswer: -36*o**2 + 54*o - 346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4.806 - 4.846. What is the fourth smallest value in u, 1, -0.5, 1\/3, -0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 148 - 198?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes after 11:10 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -46 + -8996?\nAnswer: -8a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -75\/43616 and -53\/48.\nAnswer: 130848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(121) - sqrt(121)*-1)*3 + ((sqrt(121)*2 - sqrt(121))*4 - sqrt(121)))\/(2*sqrt(11)*5 - (sqrt(88)*-4)\/sqrt(8)).\nAnswer: 9*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -3, 63\/13, 1.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 20 - 14. Suppose -h*z = -11*z + 15. Suppose -3*u + 0*u = z*c - 69, 2*u - c - 37 = 0. Solve -u = -d - 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 54\/725 and 52\/5?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12614 - (0\/23)\/((-2)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 2757916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1784589 is divided by 3642.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -3*d**5\/4 + 9*d**4\/2 - 6*d**3 - 9*d**2\/2 + 27*d\/4 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 32377682?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 319 = 11*l. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*o = 37*o - 92. Solve -o*c - 8 = -0*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -l - 0*p + 2*p, -l + p = -16. Let y = 26 + -14. Calculate the highest common factor of l and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5765204 is divided by 65510?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 513 (base 6) in base 16?\nAnswer: bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:43 PM and 12:17 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + 1 + -4 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -49 + 39. Let s be ((-8)\/q)\/2 - 44\/10. Calculate the lowest common multiple of 60 and 2\/s - 100\/(-8).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/12761 and 85\/1708?\nAnswer: 3113684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1680 and 35.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 g, and 1 w when three letters picked without replacement from wgwlwlwlwwwwwwgwwg.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 170008*k**2*p + 2*k**2 - 711 with respect to p.\nAnswer: 170008*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mhmwmttmmquuw. Give prob of sequence hqw.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 4*c - 0*c. Let w = 5 + c. Suppose 43 + 23 = w*q. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6*c**2*y**2 - 2*c**2*y + 2*c**2 - 20*c wrt y.\nAnswer: -12*c**2*y - 2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/83649307 and 59\/107174.\nAnswer: 167298614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(-1)\/(-42)*1710\/(-114)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*z - 43*z - 3*c = -1 - 5, 0 = 5*z + 4*c - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the second derivative of 27*a + 0 - 2\/3*a**3 - 2*a**2. Calculate c(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 464*l**4 + 734 - 139*l + 139*l with respect to l.\nAnswer: 1856*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -11980 and -0.1197?\nAnswer: 1434.006","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the first derivative of l**4\/16 + l**3\/4 + l**2\/4 + 240. Determine d so that a(d) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -6*m. Let j(z) = -z**2 - 12*z - 2. Let u(w) = -3*j(w) + 5*l(w). Calculate the remainder when u(9) is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (64\/(-28))\/(5\/7*-5*14\/875).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 598074 or 598078?\nAnswer: 598078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6426 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2917368989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 33 - 28. Let a(z) be the second derivative of 0*z**4 + 1\/20*z**m + 1\/3*z**3 + 0*z**2 + 0 - 2*z. Find the second derivative of a(q) wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) 3\/43994  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -f - 268655*f**3 + 267635*f**3 - f**2 + 0*f to the form h*f**2 + k*f + t*f**3 + p and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in i + 6*i - 4*i + i + 4*i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -140*s + 275*s - 132*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 7:48 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*v**4 - 1418*v**2 - 2249*v wrt v?\nAnswer: 24*v**2 - 2836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-18)\/(-9))\/(4\/2722) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 1 + 0 + 15 + 51 + -52?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -12*a**2 + a - 2. Let m be q(1). Let x = 13 + m. Solve 2*t - 3*k + 7 - 19 = x, 0 = 2*t + 3*k + 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**2 + 7*n + 2. Suppose 0 = -f - 3*f - 40. Suppose 4*z + 194 = 2*o, -z + 4 = -5*z. Calculate the remainder when o is divided by h(f).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 14*n**2 - 426*n + 854. Let s(u) = 6*u**2 + 2*u + 1. Let o(l) = -m(l) + 2*s(l). Determine w so that o(w) = 0.\nAnswer: 2, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 91 + -87.92. Let k = -0.08 + i. Let o = 63\/2 + -32. What is the third smallest value in -2\/5, o, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, -23, -2\/3, 5, 0, 4 in decreasing order.\nAnswer: 17, 5, 4, 0, -2\/3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 0 - 1)*(2*v + 0*v - 5*v) - 9*v - 22 + 22 to j + a*v and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 219 - 1755\/8. Let o = -353\/238 + -2\/119. Sort o, h, -2 in decreasing order.\nAnswer: h, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 10.4682 and -0.09.\nAnswer: 10.3782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 3\/5, -90370, 1\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 1 + -7 + 13 + -19\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 + -5. Let l be (2 - -1)*8\/(-60). Let g = -0.7 + -1.3. What is the second smallest value in f, l, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1132*u - 1204*u - 1800 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 divided by -116638.\nAnswer: -4\/58319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 75985 + -2483?\nAnswer: 73502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/16))**(2\/25) assuming o is positive.\nAnswer: o**(1\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8155 = -3*l + 8173 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/18 + 16\/(-3). Let t = g - -12. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.3  (b) -2\/9  (c) 19  (d) 83221\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38516, -75403, -112290, -149177?\nAnswer: -186064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 + 11*p**2. Suppose 3*v - 55 = -2*v. Let c be h(v). Solve -3*m - m = -5*r + 18, c = 4*r + 3*m - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1573) + 0)*4 + -4 + 2 - ((-1*(sqrt(1573) - -1*sqrt(1573))*-2)**2 + -2))*-5.\nAnswer: -220*sqrt(13) + 125840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes after 7:14 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -4, -1\/16, -5?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -307615 less than or equal to -5229456\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 27.1 times 2518\nAnswer: 68237.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 4364.26 decades?\nAnswer: 436.426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6 or -100\/19?\nAnswer: -100\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (18 - 5 - 8) + (0 - (1 + 4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2665 - -2118. Put r, -0.1, -5 in decreasing order.\nAnswer: -0.1, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/10 + 539\/35. List the prime factors of 305 + 1*n\/5.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.1 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the first derivative of -17*a**7\/35 - 85*a**3\/6 - 42*a**2 - 42. Let l(w) be the second derivative of d(w). What is the derivative of l(v) wrt v?\nAnswer: -408*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 21  (b) -29  (c) -0.4  (d) -0.1369  (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(17) + 2 + (sqrt(17) - (-1 + sqrt(17)))**2 + sqrt(17) + -1*sqrt(272)).\nAnswer: -12 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3266 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 942946071 to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 5633 (base 8) to base 16\nAnswer: b9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -9*w**2 + 19*w + 3. Let x(n) be the second derivative of -5*n**4\/12 + 5*n**3\/3 + n**2 - 5*n. Let r(c) = 6*t(c) - 11*x(c). Give r(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -19*m. Calculate the remainder when l(-2) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00007171 to 6 dps.\nAnswer: 0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -7, -23, -61, -127, -227?\n\"Answer: -r**3 - 5*r**2 + 6*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 179 or 177?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1101001001101100101 (base 2) in base 7?\nAnswer: 3443261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 7*v = -2*v + 680, v = 3*o - 402. Let u(n) = -16*n + 722. What is the remainder when o is divided by u(43)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -9*q**2 - 37*q**3 + 36*q**3 + 3 - 9*q - 1. Suppose -4*m + 0*m - 36 = 0. Is i(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 5*b - 178 = -68, -5*d + 650 = 5*b. Suppose -d = 4*m - 9*m. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z - 2 - 3. Let b = z - -6. Let u(t) = t**3 + t**2 + 6*t - 6. Let a be u(b). Round a to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 308220 and 13912882.\nAnswer: 14221102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 2*o**3 - 5*o**2 + 8*o - 12. Let k be v(4). Let l(x) = -5*x**2 + k - 137 + 69. Let g(m) = 5*m. Calculate g(l(n)).\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 978669 is divided by 5407.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t - 2*a - 8 + 12 = 0, -4*t - 4*a = 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z**3 - 165*z**2 + 438*z + 1560 = 0.\nAnswer: -2, 5, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1, -18, 0.5, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/3)\/(1 + (-374)\/429).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7 + 6. Let j be (-1350)\/s*1*-10. Round j to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 31*l - 1. Let u(m) = -30*m + 1. What is -3*h(q) - 2*u(q)?\nAnswer: -33*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 - 10 = -42*a + 39*a + 4*k, 5*k = 31*a - 134 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 607*a**2 + 606*a**2 + 2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 16837\/180 - 13\/45. Is 93 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3083 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**2 + 174*u - 172.\nAnswer: -2*(u - 86)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.3488 less than -0.41?\nAnswer: -1.7588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -20, -4*w + 262 + 1027 = 3*q. What is the smallest common multiple of 30 and q?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -116.1 - -109. Let o = 3.9 + n. Let z = -3.5 - o. Which is the fourth biggest value?  (a) -13  (b) 4  (c) 1  (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/6 of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(-10) - 256\/(-20). Suppose 3*t + v = 1. Which is bigger: t or -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 287 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 4*o + 4 = 0, 3*z + 18 = -64*o + 61*o. Sort z, -3\/2, -0.4, 15\/7 in descending order.\nAnswer: 15\/7, -0.4, -3\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*i**3 + 316*i - 19*i**2 + 324*i + 324*i - 958*i + 1 as w*i**3 + f*i + u*i**2 + c and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -437 = -i - 2*w, 0 = -i + 4*w + 419 - 6. Suppose j + 728 = -i. Let d = -157 - j. What is d rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3979 and 865?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 432712, 865424, 1298136, 1730848, 2163560?\n\"Answer: 432712*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 3\/238, -0.551, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 141505546*r**5 - 129317*r + 197 wrt r.\nAnswer: 2830110920*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1*(6 - (0 + 4)). Suppose -2*t = 4*c - 38, -h*c + 16 + 0 = -2*t. What is the remainder when 32 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7553267.\nAnswer: 7553267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (557*c - 1086*c + 527*c - 263)*(-3 - 1 + 3) to the form b + h*c and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 3, l: 4, q: 3, c: 1}. Give prob of sequence cxxx.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*g + 0*g - 20 = 9*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 52177248.9us?\nAnswer: 0.00008627190625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 536389 is divided by 403?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15*y**4 - 5262*y**2 + 625132*y wrt y?\nAnswer: -180*y**2 - 10524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9416.\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 6 + 8)*(3*a + 0*a + 7*a) + (3 - 2 - 2)*(-a + 4*a - 2*a).\nAnswer: -31*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -17*g**3 - 952*g**2 - 8706.\nAnswer: -51*g**2 - 1904*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -4*a, 204 = -3*l + 5*a - 288. Let k = l + 181. Solve 3*s = 7*s - k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8859094860565014823\/811061895 - 152919683211\/14. Let x = -1\/67462 + d. Let h = x + -14423\/13740. Calculate the common denominator of -103\/6 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -223*w - 8. Let q(j) = -190*j - 8. Calculate -6*q(u) + 5*s(u).\nAnswer: 25*u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 3 - 5) + 1 - 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 34 - 34 = 0. Sort -7, -3, -2, m in descending order.\nAnswer: m, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -10491, -2, 2 in ascending order.\nAnswer: -10491, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -66 in 2, 2\/3, -378?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(147) - (3 + ((-1 + sqrt(147))**2 - sqrt(147)))) - (sqrt(147) + 2)*-2*-3.\nAnswer: -163 - 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.33*-158.35568.\nAnswer: 52.2573744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 15 divided by 2646\nAnswer: 5\/882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1143919498 to the nearest integer?\nAnswer: 33822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -4*f - 164. Calculate d(-38).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(150)\/sqrt(5)*-3)\/(-1*sqrt(486) - sqrt(6)).\nAnswer: 3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1282046969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -236 = -3*t - 24077*c + 24081*c, -78 - 128 = -3*t - 2*c for t.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 75213 divided by 137?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -218 (base 10) to base 12.\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**3 + 10*f**2 + 11*f - 3. Let y be k(11). Let z(t) = 2*t**3 - 40*t**2 - 34*t - 167. Let c be z(21). Which is smaller: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.1042 - -59.1042. Let h = -3929.02 + 3870. Let t = d + h. What is t rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8011 is divided by (1 - 20\/12)*4155\/(-554)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -10 + -105*(-26)\/117 + -4. What is q in -8*q**2 - n*q + 4\/3*q**3 + 0 = 0?\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000159 to six decimal places.\nAnswer: -0.000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23300 (base 5) to base 14.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - m = 9, -7*a - 5*m = -3*a - 27. Suppose 2*z + a = 4*z + 4*d, 4*d = -z - 6. Solve z*h - 4 = 15*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 2*v + 4*u + 146 = 0, 90 = 3*v - 3*u. What is the remainder when v + (-1)\/((-2)\/(-6)) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -17*s**3 + 4*s**2 + 81*s. Let q(v) = 23*v**3 - 6*v**2 - 81*v. What is 4*h(b) + 3*q(b)?\nAnswer: b**3 - 2*b**2 + 81*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8841 = -3*i + 4*p + 31244, -i + 4*p = -13351. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 189402173*p. Let f(v) = 4*v**2. Determine f(o(w)).\nAnswer: 143492732548487716*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r - 2*r - r**4 + (r - 2*r - r)*(r**3 + 3*r**3 - 3*r**3) - r**4 + 0*r**4 + 2*r**4 + 8*r**4 - 3*r**4 - 24*r**4.\nAnswer: -21*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -7*y + 575. Does 30 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.82 - -0.08. Let t = b + -2.2. Let d = t - -8.3. Is 0.1 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes after 8:16 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5093, 5092, 5091, 5090?\nAnswer: 5089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 871 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.92 - -1.2. Let t = n + -0.28. Which is the nearest to 0?  (a) -5  (b) t  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-28)\/(-21)*6\/316. Let x = 148\/395 + y. Let l(i) = i**3 + 5*i**2 - 7*i - 6. Let k be l(-6). Sort k, -1\/6, x in increasing order.\nAnswer: -1\/6, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 59?  (a) 2\/31  (b) 1\/7  (c) -30\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12527 = -24*i + 7273. Is i a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 16\/144 - 65740\/803880 and 51\/7018.\nAnswer: 49126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 8, -0.036, 1359?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4\/3, 4.9, -0.6, 4, -2\/39, 1\/5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p + 6. Let z = 119 - 102. Calculate the remainder when z is divided by q(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 + -6. What is the remainder when (-46)\/(-6) + 6\/(-9) is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 2*o**3 + 191. Determine b(0).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 76 + (33 + -17 - (-44 + 58)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 56 + -54. Solve 6 - d = 2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**3 - 9*d**2 - 13*d + 8. Suppose 0 = -t - 5*m - 20, 3 = 4*t - m - 22. Let u(h) = 3*h - 5. Let n be u(t). What is i(n)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 4*u = 2*w - 8, u + 2 = 3*w. Suppose a + 10 = 3*n, 3 = 5*n - 4*a - 9. Suppose 447 = n*r - r - 3*l, -4*r - 2*l + 596 = w. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 5*h = 25, 4*y + 2*h = 7*h + 10. Which is the closest to 1?  (a) -4  (b) 4  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 28*m + 681. Let z be s(-24). Solve -z = -11*n + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 at least as big as 1501\/78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.0647085 - 5.2\nAnswer: -5.1352915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/16)\/((-19)\/494) + (41 - 169).\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -39, -402, -999, -1824, -2871?\nAnswer: -4134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r - 4*r + 3*r)*(-236 - 1059 + 34 - 44).\nAnswer: -3915*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the first derivative of -1\/12*s**6 + 0*s**3 + 0*s**2 - 4 + 1\/5*s**5 + 0*s - 1\/8*s**4. Factor g(l).\nAnswer: -l**3*(l - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -53 - -196. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 5*w**2 + 6*w - 5. Suppose 4*m + r = 0, -4*m - 4*r = -7*r. Suppose 6 = -3*j, -2*n + m*n = 2*j. What is the smallest common multiple of 24 and s(n)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 4*a**2 + 886828*a + 59399520 = 0.\nAnswer: -221640, -67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.07 and -1.4?\nAnswer: 0.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(((sqrt(153) + -1 - sqrt(153) - sqrt(153)) + 0)*2 + 3)**2.\nAnswer: -3678 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 4*(2*sqrt(833) + 0 + sqrt(833) + 5 + sqrt(833)*-1) + -5.\nAnswer: 13 + 56*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -498292 + 298292. Round f to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 5*j - 65. Let q be y(14). Solve 0 = -7*x + q*x + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*i + 51*i = 3*u + 11, -5*i - 4*u - 17 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**3 + 32*d**2 - 87*d - 5. Let k be p(29). What is the closest to 6 in 4, k, -14?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**2 + 12*g - 11. Let j be l(-13). Suppose -k + j*x + 131 = 0, 0*x = k - 3*x - 130. What is the highest common factor of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -9672, -9953, -10220, -10473?\n\"Answer: 7*n**2 - 302*n - 9377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i = 16*i - 69. What is the third derivative of i*q**3 + 4*q**4 - 16*q**4 + 5*q**4 - 12*q**4 + 45*q**2 wrt q?\nAnswer: -456*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a + 3 + 2. Let j(i) be the first derivative of i**2\/2 - 8*i - 4112. Give j(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -5*m - 174. Which is bigger: -26 or m?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 270*-15*13\/1170?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 2*h)*(3 - 1 - 1) + (3 - 18 - 1)*(-5*h - 377 + 751 - 377).\nAnswer: 82*h + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -442, -879, -1256, -1543, -1710, -1727, -1564?\nAnswer: -1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**3 + 5*s**2 - 17*s - 16. Let g be j(-7). What is the second derivative of -63*m**g - m + 2 + 3*m + 24*m**5 wrt m?\nAnswer: -780*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -18 + 85. What are the prime factors of d?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89950.73t in milligrams?\nAnswer: 89950730000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -4*a + 2*t + 127, -5*t = a - 53. Suppose 5*o - 11 = -2*j + 2*o, j - 38 = 5*o. What is the remainder when a is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6)\/(-21) - 82472\/(-56) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 18 + -15. Let s(n) = b*n - 8*n - 8*n. Let c(i) = 2*i**2. Determine c(s(f)).\nAnswer: 338*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4\/7 in 0.1, -10\/3, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(216) - (sqrt(216) + 6*(sqrt(216) + sqrt(216) + sqrt(216) + (sqrt(216)*-2 - sqrt(216)) + sqrt(216))))*5)\/(5*sqrt(32)*-2).\nAnswer: -9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 36\/27466681?\nAnswer: 36\/27466681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b - 1. Let u(c) = -6*c - 2. Give -8*k(s) + u(s).\nAnswer: 2*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 8010 a factor of 1003889777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*j**3 + 6704 - 6704.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 215\/4?  (a) 359  (b) -5  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14949102?\nAnswer: 2, 3, 7, 47, 7573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p = 26*p + 384. Is ((-1784)\/p)\/(-5 - 197\/(-39)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 3*b + 83 = 4*s, 2*s - 29 = -3*b. What is the smallest common multiple of 948\/60 - (-1)\/5 and s?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -2*d**3\/9 - 5834*d**2\/9 - 34948*d\/9 - 46576\/9 = 0.\nAnswer: -2911, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve m**3\/4 + 3*m**2\/2 - 15*m\/4 + 2 = 0 for m.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 49767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y - 17 + 6 = 12*h, -y + 17*h - 2 = 16*h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 2*g**3 - 399*g**2 + 18297*g - 3551. Calculate t(71).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 - 3*s)*(-s**2 - 2*s**2 + 0*s**2) in the form h*s**2 + y*s**3 + z*s + k and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 120919 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 61059, 122122, 183187, 244254, 305323, 366394?\nAnswer: 427467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes before 7:56 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1363 and 0.166.\nAnswer: 1363.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -3*b**2 - 4*b. Let h(i) = -i**2 - i. Let l(n) = -4*h(n) + s(n). Let p(k) = -35*k. Determine p(l(w)).\nAnswer: -35*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.01 or 775.625?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1135 - 1125. Solve -3*u - n = 4, -23*n - b = 5*u - 22*n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*x - 2*x - 108. Let t = x + 30. Suppose 589 = 5*c + 149. Calculate the remainder when c is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes before 2:23 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3106, -3065, -3024, -2983, -2942, -2901?\nAnswer: -2860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 2*a = -91. Suppose a*j + 180 = 18*j. What is the least common multiple of j and 5?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/(1\/(-5)*1). Let v(n) be the third derivative of -n**5\/120 - n**4\/8 + 16*n**3\/3 - 14*n**2. Let u(k) be the first derivative of v(k). What is u(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 351 and 546156?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 + 5. Let h = 35951612\/465 + -77316. Let l = -6\/155 - h. What is the third biggest value in j, 19, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 0 - 12\/5*r**2 + 0*r + 2\/5*r**4 + 2\/5*r**3 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9.000294*-0.3.\nAnswer: 2.7000882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/16 of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12011 + -2001011?\nAnswer: -2020022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3.93 + 0.07. Let d be 4*(-2 + (-5)\/(-3)). Which is the nearest to -0.1?  (a) 0.1  (b) d  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**3 + 12*l**2 + 4*l - 759. Let b(q) = q**3 + 18*q**2 + 5*q - 760. Determine -2*b(v) + 3*h(v).\nAnswer: v**3 + 2*v - 757","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:18 PM and 1:48 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3328329871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 420649?\nAnswer: 401, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -549 - -0.607824558364.\nAnswer: -548.392175441636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 4*q - 9. Suppose 5*n + 28 = q*v, -4*v + 24 = -4*n - 0*n. Calculate the least common multiple of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8139847 millennia to years.\nAnswer: 813.9847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -0*u. Suppose -5*s = -5*n - 45, 0 = 2*s + 4*n - 9*n - 30. Solve u = 2*i - 3*i + s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 30 + -35. Let r(i) = i**3 + 6*i**2 + 7*i + 7. Let f be r(l). Let m be -5*f\/((-420)\/8). Which is the nearest to -2\/5?  (a) 1\/3  (b) m  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2.9 + -39.1. Let h = -42.2 - b. What is the nearest to -0.2 in -1\/3, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**2 + 13*m - 1. Suppose -6*k + 24 = -k - 2*u, 5*k - 22 = u. Suppose -2*p + 5*n = p - 35, 3*p = k*n + 34. List the prime factors of b(p).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t**4 - 3639*t**3 - 3301468*t**2 + 16583844*t - 13278736 = 0. Calculate t.\nAnswer: -1822, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 6*m**2 + 5. Suppose -c = -4*r + 22, 3*c - 11 = -5. Let v(q) = 5*q**2 + 4. Give r*j(l) - 7*v(l).\nAnswer: l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20, -39, -46, -35, 0, 65?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*z**2 - 117*z**3 - 4*z**2 + 168*z**3.\nAnswer: 51*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 705806 + -495806. What is c rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2547 - -2507. Let r be (s\/50 - 0) + (-28)\/(-30). Solve r*i**2 + 2\/3*i + 8\/15 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from ixvvlkivihkii.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 468 + 154789. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*a - 89033 = -83*a. Calculate the highest common factor of 23 and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 451*w. Let x(c) = -45*c. Let o(r) = 4*k(r) + 41*x(r). Let v(d) = -d**2 - 202251 + 202251. What is v(o(z))?\nAnswer: -1681*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.05, -6, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.15795 rounded to three dps?\nAnswer: 0.158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 - -2. Suppose -s + 22*s + 2*s = 1334. What is the third smallest value in q, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2524652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (232\/(-580))\/((-30)\/(-175))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -3*u + 7. Let g(p) = 2*p - 4. Let a(l) = -2*l**3 + 16*l**2 - 2*l + 19. Let z(x) = 8*x - 8. Let w be z(2). Let h be a(w). Give h*n(f) + 5*g(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 141951 is divided by 83?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(35)\/sqrt(7) - 6*sqrt(320).\nAnswer: -49*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 56 = -11*h, -2*h + 22 = 6*o - 4*o for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (12 + -6 - -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -163793.1 and 0.22?\nAnswer: -36034.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2888b452 + -2?\nAnswer: -2888b454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 158255 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = 2*c - 1282, 2*c + 616 = 2*y - 22. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1313 less than -1520.59?\nAnswer: -207.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*j - 1013 = 14*j + 4*i, j - 5*i = 1011. Calculate the remainder when j is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 408*r + 5*h - 2*h + 30 = 411*r, 10*r - 8*r - 7*r + 21*h + 290 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 9*r**2 + 47*r - 13. Let n = 77 - 85. Let q be j(n). What is the highest common factor of q and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -8*y**2 - 3557*y + 3557. Calculate r(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 6820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -256, -249, -238, -223?\n\"Answer: 2*z**2 + z - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-30*10*1\/50)\/((-2)\/(-7))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**2 + 6*r - 7. Suppose -f + 1 = 0, 2 + 5 = 3*o - 2*f. Is z(o) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2146 and 160210.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 253*c + 68. Give f(-4).\nAnswer: -944","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 137396541 by -1333947.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 646010 to the power of 1\/2, to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(864) + -1*sqrt(864))\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 21.511 and -4362.\nAnswer: -4340.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fffffffrfrfffr. Give prob of picking 3 f.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1786 and 178489268.\nAnswer: 1786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 198*k**5 + 366*k**2 - 366*k**2 + (6 - 6 - 7*k)*(-k**3 + k**3 - 3*k**4).\nAnswer: 219*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1036*i = -997*i - 158459 - 869659. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 223077 - 109796. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.2 + 0.3. Suppose 3*v - o + 3*o = -3, -2*v - 4*o - 10 = 0. Let r = -5 - -1. What is the closest to v in r, -0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 14) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-4\/9)*t*t\/(t\/(t*t\/((t*t**(-7)*t)\/t))*t)*t assuming t is positive.\nAnswer: t**(77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 45 - 40. Let p be (m\/(-15))\/(2\/(-6)). Let z be 2 + p - 69\/3. What is z rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 547479559.\nAnswer: 11, 53, 79, 11887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes after 8:27 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1619 in 1.5, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f*f*f**(2\/7))*f*f*f)**24)**(-7\/2) assuming f is positive.\nAnswer: f**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(18) + (sqrt(18)\/sqrt(144) - sqrt(2))**2.\nAnswer: 9\/8 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2 and -0.033.\nAnswer: -2.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - -1 - 1) + 135 + -132.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -80378177*p**3 - 36774495*p wrt p?\nAnswer: -482269062*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/(-20) + 755\/25. Solve 2*r - 4*r - 4 = 2*t, -5*t = -5*r - f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-201 - -192 - 542\/(-60))\/(3\/27)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-32)\/(-10) + 20\/(-100). Suppose -12 = -d*i, -s - 4 + 0 = i. Let w = -2 - s. Calculate the least common multiple of 54 and w.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hp when two letters picked without replacement from {m: 1, p: 1, s: 3, h: 3, e: 2, d: 5}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 418 divide 61607348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1567733 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(5) - sqrt(720)*1) + sqrt(5) - sqrt(10)\/sqrt(8)) + -3)**2.\nAnswer: 63*sqrt(5) + 2241\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/13  (b) -157  (c) 0.4  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12758 is divided by 220?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 149321 and 62725118.\nAnswer: 5149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*g - 680 - 969 = -55*g. Solve -35 + 171 = g*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -6*d**3*u**3 + 242*d**3*u**2 + 3608*u**3 wrt d?\nAnswer: -18*d**2*u**3 + 726*d**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 416*n - 497. What is y(1)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 1 + 0)*(s - 2*s - s) - 21*s + 346 - 346 + 15*s - 27*s - 4 - 2*s to the form q*s + u and give q.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(-4\/7))\/q*(q**(-1\/2)*q)\/q*q*(q**(-2\/5))**(-16) assuming q is positive.\nAnswer: q**(443\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-3) - (8140\/(-12) - -1). Suppose -28*k = -34*k + j. What are the prime factors of k?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 - -1. Let p = -0.4 + 0.3. Let k = -320 + 322. Which is the closest to i?  (a) p  (b) -2\/17  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1567.27265 rounded to the nearest ten?\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -21\/4 + 19\/4. Let i = 0 - 2. What is the closest to i in q, 3, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:19 AM and 12:25 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 5 - 1243*k - 8.\nAnswer: -1243*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(468) - (-1 + sqrt(468))))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 19 - 11. Let z(w) = w**2 - 5*w - 5. Is z(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 4*w**3 - 2*w**2 + 1. Let d be 1\/(0 - (2\/4)\/(-1)). Does 4 divide m(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 10820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the first derivative of -11*f**2\/2 + 13. Let x(u) = u. Calculate x(d(p)).\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 16 = u, 6*f = -5*u + f. Let q(a) = 2*a + 2. Let l(m) = -2*m - 3. Give u*l(d) + 5*q(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 < 2\/2895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4 - -37)*(2 + -7). Calculate the lowest common multiple of ((-5)\/(75\/12))\/(11\/c) and ((-7)\/21)\/((-1)\/27).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -7  (b) -0.5  (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -73511.21 rounded to the nearest one thousand?\nAnswer: -74000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the first derivative of 1\/2*c**2 + 2 + 11*c. Let a be t(-9). Solve 0*f + a*f + 6 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 1)*(21 + 3*o - 21)*(-3 + o + 3).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 130230 + 87828 = 404*l + 1696*l + 60558 for l.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 3972, 159 in decreasing order.\nAnswer: 3972, 159, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14*(-280)\/2352*(-126)\/(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-5)\/20*0)\/(-2 + 1). Put -4, -7, 5, c in descending order.\nAnswer: 5, c, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 474 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*r - 3*r = 24. Let k = 20 - 39. Let x = k + 15. Sort x, r, -1 in ascending order.\nAnswer: x, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12 - 12.1. Let g = -66.2 - -10.2. Let s = -62 - g. Which is smaller: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express n**4 + 0*n**3 + 1 + 5*n**3 + 6*n - 6*n in the form l + u*n**3 + f*n**2 + g*n**4 + k*n and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 648*f - 393. Let j(z) = -321*z + 196. Let v(q) = -6*i(q) - 11*j(q). Differentiate v(s) wrt s.\nAnswer: -357","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 182 = 19*r + 106. Let l be (-1*3)\/(24\/(-80)). Calculate the greatest common factor of l and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/(-4))\/((-1)\/(-10)). Suppose 49 = 3*q - 5*r, 5*r + 6 + 35 = 2*q. Let s = q + n. Let y(z) = -z**2 + 2*z - 1. Give y(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 13336\/40 - (-3)\/5. Is 336 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.26 - -0.06. Let y = -1.92686 + -0.07314. Which is the biggest value?  (a) -0.1  (b) y  (c) m  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/19)\/(-6)*(-114)\/114?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88 = 5*v - 113 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -2 times -0.161\nAnswer: 0.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 83 a factor of 512311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -26*o**2. Let c(d) = -5044*d + 3*d**2 + 5044*d. What is m(c(t))?\nAnswer: -234*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000007533798 to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -9*f - 17. Suppose -2*m + 42 = -4*n - 2, -2*n + 5*m - 30 = 0. Let i be ((-12)\/n)\/((-1)\/10). Is o(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 + 3*z**2 + z + 6. Let m be v(-3). Put 2, -2, m in increasing order.\nAnswer: -2, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**3 - 13*k**2 - 11*k + 16. Suppose 12*q = 14*q + 24. Let i be v(q). Suppose i*z + 3891 = 771. Round z to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**3 + u - 5. Suppose -4*l + 2*r - 12 = l, -l + 8 = -3*r. Let s be -3 - (2 - l\/(-2)). Let b = s - -3. Give z(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 6, x: 1, a: 3, v: 4, j: 3, f: 2}. Give prob of picking 2 r and 1 v.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 40 - 36. Let d(i) = i**3 - 4*i**2 - i - 2. Determine d(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes before 6:47 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 11782 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -10381\/30, 12, 0.2 in decreasing order.\nAnswer: 12, 0.2, -4, -10381\/30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 6066825041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes after 5:50 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -3*h + 21. Determine r(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/v**(14\/3)*v\/v**(-2)*v**(-1)\/(v*(v*v**1)\/v*v) assuming v is positive.\nAnswer: v**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-112 - -147) + -40 + -2 + 55.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8.9 + 6.9. Let m = 0.5885 - 0.0885. What is the closest to m in -0.05, -1, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/(-3)*1*3. Suppose -n + 3*n = j, -94 = -4*v + n. Calculate the least common multiple of (-19)\/(-5) - (-28)\/140 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -147515*s. Let g(o) = 2*o + 5. What is m(g(u))?\nAnswer: -295030*u - 737575","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 266169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 5*a = 21, -4*o + 23*a = 26*a - 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*c*c**(-23)*c)\/c*c*c*c**11)**(-7))**(-44) assuming c is positive.\nAnswer: c**(-2464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -491518 + 491518. Let v be 26*1*1\/2. Is v greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -3*j - 20. Let s be r(0). Let h = -12 - s. Let b be 4\/(-14) - (-1800)\/28. What is the greatest common divisor of b and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 - -3. Suppose -p - s = -3. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, v: 2, t: 1, f: 1}. Give prob of picking 1 f and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -279*u - 18. Suppose 4*g + x = -1, 0*x + 3*x - 8 = -g. Is 24 a factor of q(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 13*d + 7*d. Does 5 divide (-5)\/10*(d + -204)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 326 = -u, 5*j - 37*u + 40*u = 538. Calculate the greatest common divisor of 80 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6\/7228361 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-24)\/20)\/(224\/60). Let z = v + 137\/252. Factor -4\/3*x**2 - z*x**3 - 10\/9*x + 0.\nAnswer: -2*x*(x + 1)*(x + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 9*x. Solve x = 2*g + 2*g + 4*p, -14 = -4*g + 3*p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -117 = -4*m + 3*h - 112, 19 = 5*m - 8*h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 26.7 + -23.9. Let h = v - 5.8. Which is the nearest to 214?  (a) h  (b) 5  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -32 - -34. Differentiate 12*p**2 + 6*p**2 - 11 - 17*p**t with respect to p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73*b**5\/2 + 38181*b**4\/2 - 318341*b**3 - 2188808*b**2 + 12531312*b + 344960 = 0. What is b?\nAnswer: -539, -8, -2\/73, 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-314 + 27 - 292 + (2 + 3 - 7)*(-2 + 3 + 1))*(0*j**3 - 3*j**3 + 2*j**3) in the form d*j**2 + c*j**3 + x*j + l and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 + 30*h - 193. Let l be x(-36). Calculate the highest common divisor of 1541 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 + -0.3. Let q = -0.002 + -103.998. Let n = q - -103.6. Sort n, k, 3.\nAnswer: n, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.11241451 and 5?\nAnswer: 0.56207255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 - -21 - 10) + (2 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes after 9:07 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1372638 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*q + 6 = 20 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*l**3 + 14*l**2 + 0*l**3 + 13*l**2 - 6*l**2.\nAnswer: 2*l**3 + 21*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1610 by 205.\nAnswer: -322\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 5*a**3 + 4*a**2 - 2*a - 1. Let y(s) be the third derivative of 3*s**6\/40 + 7*s**5\/60 - s**4\/6 - s**3\/3 - 15*s**2. Determine 7*m(w) - 4*y(w).\nAnswer: -w**3 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*i**2 - 16*i**2 + 4*i**2.\nAnswer: -45*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 400*v - 99. Let u be g(11). Let s = u + 1284. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -120*b - 11. Is j(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 16\/2 - ((-6)\/30 - 130\/(-25)). Let n(w) = 7*w**3 - w. Let z(t) = 6*t**3. What is v*n(g) - 4*z(g)?\nAnswer: -3*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 0 + (-1 + sqrt(180) - sqrt(180)) + -5 + (sqrt(385)\/sqrt(112))\/(sqrt(121)\/sqrt(176)))**2.\nAnswer: -16*sqrt(5) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*a - 34*a - 13 + 19*a + 1 + 147.\nAnswer: a + 135","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.015 + 5.015. Let t = -29 - -26. Which is the second smallest value?  (a) n  (b) -0.3  (c) t  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12*(-7)\/((-12)\/10*(-2870)\/(-861))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 440 = 5*b, -2*b + 0*b = 3*f - 671. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b - 4*b - 12 = 3*k + 15*b + 17*b, -3*b = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the second derivative of 374*b**6\/15 + b**4\/6 - 176*b**3 - 1259*b + 2. Find the third derivative of y(m) wrt m.\nAnswer: 17952*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 11619, 11613, 11597, 11565, 11511, 11429?\n\"Answer: -q**3 + q**2 - 2*q + 11621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -433*j - 331*j - 9646 = -75*j for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 - 54?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 + 6*y**2 + 8*y - 3. Let v be k(-3). Let a(p) = 2 + 9 + 0*p**2 - p + p**2. Determine a(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3386207 or -2?\nAnswer: -3386207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Do -29847489\/10 and -2984748 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vdxdd. What is prob of sequence vd?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -29 - -13. Let g = -16.5 - i. Which is the second smallest value?  (a) 2\/13  (b) 1  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -4*b + 12. Let j(r) = 1. Let q(f) = g(f) - 12*j(f). Let d be (-3)\/2*8\/(-6). Let y(p) = 4 - 4 + d*p. Calculate q(y(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 3, 5*g + 4*s + 1548 = g. What is g rounded to the nearest 10?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 2*p**2\/3 + 7556*p\/3 - 7562 = 0.\nAnswer: -3781, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**3 + 8*h**2 + 14*h. Let v be x(-5). Suppose 5 - v = -2*j. Solve j = 3*r - 6, 0*r + 4*r - 11 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:07 AM and 12:37 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the third derivative of 9*r**8\/112 - r**6\/20 - 133*r**4\/24 + r**3\/2 + 11*r**2 - 15. What is the second derivative of u(k) wrt k?\nAnswer: 540*k**3 - 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**2 - 24*w - 87. Let n be z(-4). Is 23\/(69\/8580) - n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x**2 - 197649*x = 0.\nAnswer: -65883, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -37 - -14. Let b = f + 28. Suppose 10*u - 150 = b*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -76*c - 9. Is n(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**3 + 21*l**2 + 21*l + 19. Calculate r(22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**4\/3 - 151411*y**3\/3 - 2546968484*y**2 - 128474155094800*y\/3 + 2186269602252992\/3.\nAnswer: -(y - 17)*(y + 50476)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 8a1ed + 1c9?\nAnswer: 8a3c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 12) to base 3.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 - -8. Let t(m) = m**3 - 2 + 2 - q. Let c(y) = 24*y + 61. Let d be c(-3). Let o(a) = -5*a**3 - a + 16. Give d*t(w) - 2*o(w).\nAnswer: -w**3 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w = 2*g - 21, w + 2*w = 2*g + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 29.860356 months in decades?\nAnswer: 0.2488363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 + 2. Let g be -1*(-4 - 6) - (3 + 1). Let y = -5.8 - -5.6. What is the third biggest value in v, 0, y, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes after 8:45 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5049.4 + -5049. What is the second biggest value in -0.8, 6, -0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-790)\/474)\/(1 + 13\/(-18))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 144109 is divided by 18008.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (5\/(15\/(-12)) - -4)\/1. Suppose -2*o - 1055 + 4069 = c. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate b**3 - 20*b**2 - 5815*b - 647033 with respect to b.\nAnswer: 3*b**2 - 40*b - 5815","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -4*s + 6. Let r(d) = 55*d - 85. Give 6*r(a) + 85*z(a).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b, 1 l, and 1 x when four letters picked without replacement from bxxxbxxxlxxzl.\nAnswer: 16\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t + 13 = -5*l, 17*l - 12 = 3*t + 20*l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0\/1*2\/(-4). Suppose 5 = -t - k*t. Let l(p) be the third derivative of p**6\/120 + p**5\/15 - p**4\/6 - p**3\/6 + 5*p**2. Determine l(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 2*y**5\/3 - 18256*y**4 + 503748604*y**3\/3 - 530221342584*y**2 + 105354922187142*y + 429913981541016 = 0.\nAnswer: -4, 217, 9057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 62 - 30. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**2 - 18*y - 16. Let b be j(19). Suppose 0 = -2*i + 4*k + 3674, 2271 + 5102 = 4*i - b*k. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -411235 divided by -411235\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 17578231 greater than 17578228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.719 - -6?\nAnswer: 9.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 947 - 950. Which is the second biggest value?  (a) j  (b) 2\/39  (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 3121805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(14)\/sqrt(2) + (sqrt(77)*-2)\/sqrt(11) + 4 + -5)*-5)**2.\nAnswer: 200*sqrt(7) + 2825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/312578 and -68\/671055.\nAnswer: 361027590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 11 + 6 = 0. Suppose -5*u + 11 = x. Find the third derivative of -7*v**u + 13*v**4 - 17*v + 17*v wrt v.\nAnswer: 312*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -211972288 divided by -4\nAnswer: 52993072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes after 4:39 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1391, -1400, -1433, -1502, -1619, -1796, -2045, -2378?\nAnswer: -2807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 21 = 23. Let o be j\/((-2)\/12) - 2. Solve 3*f - o*z = 14, f - 3*z - z = 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -2. Let a = 21 - 13. Let j be ((-4)\/a)\/(1\/(-4)). What is the nearest to f in -3\/5, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -73 + 75. Suppose -3*r - 2*r + 15 = 0. Which is the closest to -3?  (a) 5  (b) u  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12140*d**3 - 723*d**3 + 3182*d**3 + 4390*d**3.\nAnswer: 18989*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, 2\/11, -4.9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 2*s + 15. Let b be -8 + (3\/(-6))\/(2\/(-4)). Let a be l(b). Let g = 31 - 63\/2. What is the third smallest value in g, a, -2\/37, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -37 - -52. What is the remainder when 57 - (2*-1 + 2) is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 85\/75 - (-6)\/(-45). Is -6\/29 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 3*o**2 + 51*o + 3. Let a be t(-17). Let m(w) be the second derivative of 0 + 1\/6*w**4 + w + w**2 + 2\/3*w**a. What is z in m(z) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*s\/(s**(-25)*s*s))*s**14\/s)**29 assuming s is positive.\nAnswer: s**(-319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l + 4. Suppose 5*g - 2 = -3*x + 10, 12 = 3*g + 3*x. Give p(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110001000110101 (base 2) to base 9.\nAnswer: -37434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 - -8599?\nAnswer: 8595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/6*4\/12*0. Calculate the remainder when 28 is divided by (120\/(-160))\/(m + (-2)\/8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 3583*w**3 - 4*w**2 + 18*w - 2. Let g(o) = 7165*o**3 - 10*o**2 + 45*o - 4. What is -2*g(d) + 5*y(d)?\nAnswer: 3585*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14554 and 267334?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1066 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.5 greater than or equal to 4\/19093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 2)*(53 + 462 - q - 212).\nAnswer: q - 303","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -428860 = s - u + 101138, -3*u - 1590006 = 3*s. What is s rounded to the nearest 10000?\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h - 15, 6*o = 3*o - 5*h + 3381. Suppose -a + o = 5*n, -2*n + 4*a - 205 = -667. Suppose -n = -4*q + 5*u, 4*u = 7*q - 2*q - 288. Does 20 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -3*u + 5*k + 42, -27 = -3*u - 2*k. Let j be 24 - u - (-6*1)\/2. Let x(f) = -6*f + 30. Let h be x(j). Which is greater: h or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.19?  (a) -252  (b) -0.1  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 78 by -78.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-1))**33)**4 assuming j is positive.\nAnswer: j**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**2 + 1999*c - 27777. Calculate y(14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -3361, -13430, -30211, -53704, -83909, -120826?\n\"Answer: -3356*v**2 - v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*c - 2*c = 5*p - 16, 3*p - 2*c - 8 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 12*l**2. Let q(o) = 798*o. What is c(q(t))?\nAnswer: 7641648*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 210 and 4172.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oxooxoxoox. Give prob of picking 3 x.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, 43, 231, 1\/5.\nAnswer: 1\/5, 14, 43, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3 + -3*115\/(-90). Let x(d) = d**3 - 6*d**2 + 3*d + 12. Let j be x(5). Are g and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -5*w - 1, -15*b - 3*w = -16*b - 9. What is the least common multiple of 832 and b + 14 + (-4)\/(-2)?\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13154404 divided by 111478\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -12?  (a) -6\/5  (b) -1\/4  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:51 PM and 3:46 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.7 and -0.03.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 177*u**3 - 3*u**2 + 4*u - 2. Let r be j(1). Calculate the highest common factor of r and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69*q - 380 = -2492 - 1231 - 3488 for q.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**(1\/3)\/u)\/u)**40)**31 assuming u is positive.\nAnswer: u**(-6200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -86 - -21587\/251. Let j = v - 541\/9789. Is 0 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 8 = -29. Let o(t) be the first derivative of t**2\/2 + 17*t + 8. List the prime factors of o(u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19441?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(11)*2)**2)*-1.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 3300, 3860, 4814, 6168, 7928, 10100?\n\"Answer: j**3 + 191*j**2 - 20*j + 3128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*a**2 - 2399892*a - 4799800.\nAnswer: 4*(a - 599975)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -1802*x + 101. Is l(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 - 3051630?\nAnswer: -305162b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 - 3. Solve -s**5 - 2*s**2 + s + s**4 + 2*s**3 + a*s**2 - 2*s + 1 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -165 + 177 + ((-3)\/1)\/1. Let o(a) = 37*a**2 - 12*a + 12. Is o(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = -2*d + 138. Let x = -15 - -21. Suppose -4*k = -0*k + 3*z - 98, -3*z + x = 0. What is the greatest common factor of k and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-2460)\/(-80))\/((-50)\/(-16) + -3) is divided by 63.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 685995316.\nAnswer: 2, 11393, 15053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n**1\/n)*n)**48*((n*n**11\/n)\/n)\/(n\/(n\/(n**(-4\/13)*n))) assuming n is positive.\nAnswer: n**(1369\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the first derivative of -3*p**5\/20 - p**4\/3 - 8*p**3\/3 - 7. Let a(q) be the third derivative of l(q). What is the first derivative of a(o) wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/933 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 183 + -182. Which is the nearest to 0.1?  (a) -0.4  (b) 2  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes after 1:00 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16)\/12*5\/(-10).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6284189 to the power of 1\/2, to the nearest integer?\nAnswer: 2507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, a: 5, z: 12, n: 1}. What is prob of picking 1 l, 1 n, and 1 z?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0 times 1955.3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25396425 is divided by 60324.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 35827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 394889722?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:04 PM and 8:45 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -650*g**2 - 25*g - 50. Let z(q) = 53*q**2 + 2*q + 4. Let v(m) = 2*o(m) + 25*z(m). Let k(w) = -11*w**2 - 5*w. Give k(v(n)).\nAnswer: -6875*n**4 - 125*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -16*u + 2. Let n = 300 + -302. What is m(n)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(1216)*1 + 2))**2.\nAnswer: 1152*sqrt(19) + 43920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/1*3\/6. Suppose 2*i = -0*n + y*n, 0 = -n - 3. What is the second smallest value in -1\/5, i, 0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 72 and 7349928.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 153992.3899 - 154073.4. Let u = 80.87 + 0.13. Let h = u + w. What is h rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 437 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 214\/63 + -28\/9. Is 5\/9 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10.5?  (a) -0.4  (b) -9\/2  (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -89*n**2 - 3*n + 96?\nAnswer: -178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1222954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wqjjjjjjj. What is prob of picking 1 j and 1 w?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2932 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: What is the fifth root of 2438239736 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -16 + 19. Solve j - 3*o + w = -2, -2*j - 10 = 4*o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the second derivative of 9*k**3\/2 + k + 15. Let c(w) be the third derivative of w**5\/60 - 3*w**2 + 95. Calculate b(c(o)).\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (7 - (4 + 2 + -2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8352 + -8110. Calculate the greatest common factor of i and 3267.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.67 + 0.33. Which is the third biggest value?  (a) h  (b) 1\/4  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.5, 0.3, 2, -15, -233?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t + 648 = 10*s + 640, 5*t = -4*s - 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are -457672 and -457672 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1560430, -3120861, -4681294, -6241729, -7802166, -9362605, -10923046?\nAnswer: -12483489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10010020010121202 + 1?\nAnswer: 10010020010121210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 1528?\nAnswer: 4584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 - (24 + -4)) + -11 + (7 - (-51 - 12)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1253 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 25 + (-49)\/(392\/17120). Is w less than -2111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0\/(4 - 2 - 0). Let w(x) be the third derivative of -x**4\/8 + 19*x**3\/6 - 3*x**2 + 2*x. What is the remainder when 54 is divided by w(q)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 54895*u + 823466. Give h(-15).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2111?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**2 + 72*t + 335. What is m(71)?\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = -35*i + 34*i - 4*k, -5*k = 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 214 is divided by (-72)\/28*(1 + -15).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 644 = 5*d, d + 2*x + 3*x = 120. Let f = -56 + d. Calculate the remainder when f is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the third derivative of 1\/90*l**5 + 0*l + 0*l**4 + 5*l**2 + 0*l**3 - 1\/504*l**8 - 1\/315*l**7 + 0 + 1\/180*l**6. Determine n, given that k(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (1*(sqrt(9)\/sqrt(3)*-5 + (sqrt(90)\/sqrt(5))\/sqrt(6) + sqrt(3))*-3)**2)*-3.\nAnswer: -744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -3*x, 0 = r - 2*r + 4*x + 22. Let a(w) = 2*w**2 - 9*w + 1. Let s be a(r). Let o = 35\/2 - s. Is o less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6540 - 6540.00017144. What is b rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7482978 and 558.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 518 a factor of 603189613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, y: 1, g: 1, q: 1}. Give prob of picking 1 h and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 2\/(-4)) + (-18)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 279558276 is divided by 5929.\nAnswer: 5926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 8 - 3 - 2 - 9*r**3.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 116*l + 44 = 112*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -980804975863 - -0.16\nAnswer: -980804975862.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1710485\/62 + -27587. Find the common denominator of i and -73\/20.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1174178.4 rounded to the nearest ten thousand?\nAnswer: 1170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 380.366343 minutes?\nAnswer: 0.03773475625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 35 + 10 = 0. Suppose 4*t = 5*t + p. Put 5, -1, t in decreasing order.\nAnswer: 5, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (5\/5)\/((-3)\/(-570)). Suppose 42 = 4*p - v. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0\/(-5))\/((-66)\/(-11))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1581, -121, 2\/259 in increasing order.\nAnswer: -1581, -121, 2\/259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -314987*r + 314987*r - 25522*r**3.\nAnswer: -25522*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5, -20, -7 in descending order.\nAnswer: 5, -5, -7, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -160*a + 198*a = -266 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/2 - (-5 - 2). Does 5 divide (-2)\/8*(-23 - u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 72\/22*(-1815)\/(-330)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 120220222 + -201010?\nAnswer: 120012212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y + 3*y + 12 = 0. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-21)\/(-6) + 1\/(-2). Suppose a*f - 6 - 9 = 0. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*r**3 + 1 + 4*r**3 + 8 + 2.\nAnswer: -r**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1404\/(-43758)*(2\/6)\/(5\/(-110))\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11001001110 (base 2) in base 3?\nAnswer: 2012210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-16 - -65)\/(2\/2). Suppose w = 8*w - k. Let n = -3 + 7. Solve -n*f + 30 = 5*h, -3*f - w*h = -3*h - 23 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24\/35 > -5.1742?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1639443 and 331?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x = a + 3 + 1, 3*a = -x + 12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12399 by 5588.\nAnswer: -12399\/5588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -92.5727611217 and -10?\nAnswer: 82.5727611217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-1)\/(-2))\/(4\/24). Suppose 10 + 2 = d*k. Suppose 0 = 5*v + k*j - 193, -2*j - 31 = -v + j. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 3)*(-k + 6*k - 3*k)*(-4*k + 5*k - 3*k + (k + 4*k - 3*k)*(6 - 2 - 2)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 15680 and 8330.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4ea (base 16) in base 15?\nAnswer: -58d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/(-32)*-2*1. Let z = 0.15 + 0.05. Which is the nearest to f?  (a) -4  (b) z  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -15 + 21. Solve 0 = 5*m + p - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 191855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 338 is divided by 114?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -130409172.\nAnswer: -5\/130409172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y = 99 + 5676. Suppose 20*f = y + 3515. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4 - (-1757 + 4 + -5 + 5). Suppose t = -6*j + 13*j. What is the remainder when j is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 721*r + 147. List the prime factors of w(3).\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 2*q**2 + 11*q + 15. Let z be i(-6). Find h, given that -118*h**4 + 18*h + 3*h - 3*h**2 + 115*h**4 + 6*h**2 - z*h**3 = 0.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -249*z - 8927. Calculate d(-36).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 - -1. Suppose 35*h + 6 = 37*h. Calculate the remainder when u is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2158351 (base 12) to base 2.\nAnswer: -11000001011100011101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 365 + -360 + 4 + (-2 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -5*g + 30. Calculate r(11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the first derivative of -j**4 - 3*j**2\/2 + 2*j - 21. Let p(s) = -7*s**3 - 5*s + 4. Give -5*c(b) + 3*p(b).\nAnswer: -b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16.2 - 15. Let v = j + -0.2. Let l be (12\/(-105))\/(24\/(-1932)) + -9. Which is the second biggest value?  (a) 3  (b) l  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z + 28. Let c be n(0). Suppose 33*q - 34*q + 114 = 0. Suppose 0 = -q*j + 110*j + 16. Calculate the greatest common divisor of c and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(-1\/4))**(5\/4)\/(u*u*u*u*u*u\/(u\/u**(-2\/5))*u)**(3\/14) assuming u is positive.\nAnswer: u**(29\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddfddfdffffdd. Give prob of sequence fddd.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 191265 is divided by 252?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/13616 and 21\/368?\nAnswer: 13616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -39*g**2 + 32*g**3 + g + 2*g - 16*g**3 - 15*g**3 - 2 - 2*g as o + r*g**3 + m*g + f*g**2 and give f.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 - -16dbb5c9?\nAnswer: 16dbb5c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 3:12 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54694?\nAnswer: 2, 23, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m = 28*j - 33*j, -m - 5*j - 20 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*f**3 + 4045*f - 10218*f + 3083*f + 3090*f.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2909.\nAnswer: 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a week in hours?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 233186?\nAnswer: 2, 116593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -23908774*x - 251173244.\nAnswer: -23908774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:52 PM and 9:35 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence do when two letters picked without replacement from boltd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 146853408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25 is divided by 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 335 and 67?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*f**4 + 2*f**4 + f**4 + (f - f**3 - f + 5*f**2)*(-3*f + 0*f + 4*f) + 3*f**4 - 3*f**4 + 2*f**4.\nAnswer: -f**4 + 5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**3 - 3\/2*f**4 + 15\/2 + 18*f**2 - 21*f.\nAnswer: -3*(f - 1)**3*(f + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - -2) + (-3 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 2*s**3 - 4*s**2 - 157*s + 316. Let j be m(2). Factor 0 - 2*k**j + 2*k + 1\/2*k**3.\nAnswer: k*(k - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 244001421?\nAnswer: 3, 37, 89, 8233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (92*d**2 - 584 + 584)*(8 + 10 - 16) to the form i*d + k*d**2 + f and give k.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 219540389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9 in -8\/3, 0.1, 13, 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 62 (base 7) to base 12\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 444 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f**4\/6 - 923*f**3\/3 + 9124*f**2\/3 + 102944*f\/3 - 78336 = 0. What is f?\nAnswer: -8, 2, 16, 1836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 8392.52 millilitres in litres?\nAnswer: 8.39252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1650 + -875. What is the greatest common divisor of a and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*y - 115 = 31*y - 13*y for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*s + 23*s - 45*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -51, 2, 5, -4, 3.\nAnswer: -51, -4, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nncnx. What is prob of picking 1 x and 1 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 518 - 252 + 8*m - 270.\nAnswer: 8*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and 138.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 988*g**6 + 1248*g**2.\nAnswer: 118560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x - 38*x = 71*x - 106 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 8*c**2. Let u(t) = 4*t**2. Let l(w) = 4*n(w) - 9*u(w). Let h(q) = 5*q. Give l(h(r)).\nAnswer: -100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1, -4, -19, -50, -103, -184, -299?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -507 and -752.\nAnswer: -1259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mfccfva. Give prob of picking 1 a, 1 f, and 1 c.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 525752624.\nAnswer: 2, 32859539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1570?\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 37456982?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and -0.10320021.\nAnswer: -0.10320021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -51 + 107. What is the remainder when n is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4526 - 3?\nAnswer: -4531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -48311 - -70571. Is j a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(192)*2 - -1*sqrt(192)*-1)**2 + 2.\nAnswer: -48*sqrt(3) + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 4*u - 8 = 7*d, -d = -3*u - 6. Suppose 30 = 3*v + 2*v. Let t = -4 + v. Solve -f + t*o - 1 = d, 5*f - 13 = -3*o + 21 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1241553825.\nAnswer: 3, 5, 204371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 15574031801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7785 is divided by 699.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2*(6020\/420 - (-28)\/(-2)). Let 0*o - j*o**4 + 0*o**2 + 4\/3*o**3 + 0 = 0. What is o?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 10, 1.3, -5, -0.5, 1.2 in ascending order.\nAnswer: -5, -0.5, 1, 1.2, 1.3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from stttss. What is prob of sequence tt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 9, q: 2}. Give prob of picking 3 h and 1 q.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes after 6:54 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -i - 13 + 18 - 20 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 - (7 + (9 - -2) + -10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n + l + 50 = l - 5*l, -2*l - 16 = -0*l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 416*b**2 + b + 6. Is y(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 94829 is divided by 144.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-918)\/2160)\/(6\/44) and 7\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*f - 13*f = -40 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 15138*g**2\/17 - 311808*g\/17 + 1605632\/17.\nAnswer: 2*(87*g - 896)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (u - u + u**3 - u)*(-34*u + 6*u - 4*u) to h*u**3 + b*u + i + n*u**2 + m*u**4 and give m.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*s**3 + 255*s**2 - 255*s**2 + 15*s**3.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.08, 0.18, 4, -145.\nAnswer: -145, 0.08, 0.18, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*a**3 + 25*a**3 + 2*a**2 - 7*a**3 - 1 - 6*a**3 + 0*a**2 + 47*a to b + u*a**3 + f*a + n*a**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3451*y - 3407*y + 616 = 0 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3120 and 19575920?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -647, -642, -637, -632, -627, -622?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 138*s**2 - 49*s + 28. Does 68 divide c(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 604052311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6028 and 31784?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 0.5, -0.05, -0.45?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -3*c**3 + 114*c**2 + c - 31. What is g(38)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 2*u = -10, 0 = -2*o - u + 1 + 12. Solve 0 = 2*q - o*q - 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -195 (base 10) to base 4\nAnswer: -3003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 0 + 8 + (10802 - (10 - 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7372.\nAnswer: 2, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -41e + 5?\nAnswer: -419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -7*g**3 + 9*g**2 - 2. Let u(w) = -2*w**2 + 20*w - 21. Let y be u(9). Let r(q) = 9*q**3 - 8*q**2 + 1. Let o(b) = y*r(b) - 4*h(b). Determine o(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 74297047 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 205636759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 24\/10 - -3 - 5. Let w = 0.6 - -3.4. Let v(u) = -u**3 + 2*u**2 - 2. Let q be v(2). Which is the closest to q?  (a) 0  (b) w  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 158 is divided by 81?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1204452 is divided by 37636.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 76685 divided by 5\nAnswer: 15337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*j**2 + 1926688*j - 3853360.\nAnswer: -4*(j - 481670)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 3, 440, 4, -5, 0.03, 8 in ascending order.\nAnswer: -5, 0.03, 1, 3, 4, 8, 440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 4, -155, -10 in decreasing order.\nAnswer: 5, 4, -10, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-120)\/150 - ((-112)\/60 + 2)\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p*p\/(p*p\/(p**(-17)\/p)))\/p**(-12)*p*p**(1\/7)*p\/(p**(6\/5)*p) assuming p is positive.\nAnswer: p**(-177\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 0*m = 4*r + 8, 0 = -2*m + 3*r + 5. Calculate the highest common factor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 112021301133 (base 4) in base 6?\nAnswer: 324245103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (52\/(-117))\/(14\/(-9)). Sort 1\/3, 0.2, h in descending order.\nAnswer: 1\/3, h, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 + -2. Suppose j + j + 8 = c. Calculate the remainder when 17 is divided by (-4)\/(2 + j) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the second derivative of 3\/5*x**5 + 0*x**4 - 11*x + 13*x**2 + 7 - 1\/6*x**6 + 0*x**3. Differentiate p(r) wrt r.\nAnswer: -20*r**3 + 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5 - -10. Let d = j + -3. Let -1\/3*v + 0 + v**d - v**3 + 1\/3*v**4 = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 298*n = 303*n + 5*x - 40, n = -5*x + 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 81202.04 tonnes in grams?\nAnswer: 81202040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4*r + 2*r - 5*r)*(-1 + 6 - 3) + r + 2*r - 4*r + 8*r + 3*r - 4*r + (-1 + 1 - 4*r)*(4 + 0 - 3))*(0*r**3 - 5*r**3 + 3*r**3).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**2 - 15*a - 7. Let v(t) = t**3 - 7*t**2 - 8*t + 9. Let l be v(8). Determine y(l).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 43, 4, 3, -1, -5, 79, 5 in descending order.\nAnswer: 79, 43, 5, 4, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m**2 + m**2 + 2*m**2)*((5*m + m - 4*m)*(0 - 1 + 0) - 2*m - 7*m - 13*m).\nAnswer: -48*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -3*q**3 - 5*q**2 - 27*q - 8. Let a(t) = -t**3 - 2*t**2 - 9*t - 3. Determine -8*a(b) + 3*d(b).\nAnswer: -b**3 + b**2 - 9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -320 + 344 = 6*b. Let a(m) be the second derivative of 0 - 1\/12*m**b + m**3 + 9*m - 1\/2*m**2. What is a(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002111459575 to 7 dps.\nAnswer: -0.0002111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 0\/8 - 22\/(-92) and -79\/4?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(240)\/((3*sqrt(20))\/sqrt(4)) + 4 + sqrt(768)*-2)*6)**2.\nAnswer: -79488*sqrt(3) + 919296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -69860*j - 87841*j + 43753*j.\nAnswer: -113948*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-351)\/702*1\/(3\/4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1037*l**2 + 1192*l**2 - 2462*l**2.\nAnswer: -233*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 593 divided by 5?\nAnswer: 593\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -755 - 70. Let k be (-4)\/(-14) - p\/(-21). Let l = k - -66. Is l a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-seven quarters of a decade?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -119\/36 and (-9527)\/(-896) + -9 + (-2)\/(8\/4).\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*d**2*h*p**2 - 2*d**2 - 4*d*h*p**2 - 70*d*h*p wrt p.\nAnswer: -14*d**2*h - 8*d*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000001049672 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 + (-10 - -12) - -6) + -12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ad when two letters picked without replacement from daoajjahjh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 64354, 64351, 64348, 64345, 64342?\n\"Answer: -3*g + 64357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 2*z + 41 + 36 - 76. What is t(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3*10\/10*-1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 725402 - 478639. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5\/11, -14, -2\/19?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, z: 2, c: 2}. What is prob of picking 1 j and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**3 - 32*j**2 + 34*j - 81. Let o be q(31). Solve 3*k + 3*a - o = 8*a, 8 = 4*k - 4*a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 357 + -362. Which is the closest to 5.2?  (a) d  (b) 5  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1710817333.69 + 12.\nAnswer: -1710817321.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.3 - -2.7. What is the closest to -0.1 in 3\/4, -1, t?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times -32141?\nAnswer: 128564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 154 + -111. Solve -39*w + h*w + 9 = -z, -12 = -z + 3*w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*f**2 - 2858056*f - 1021060512392 = 0. Calculate f.\nAnswer: -714514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -115*z - 123*z + 82*z + (-3 - z + 3)*(-1 + 2 + 0) - 2*z + 3*z + z in the form l*z + b and give l.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) - -4*sqrt(102))*2) + sqrt(102))\/(sqrt(18)\/(3*sqrt(3) + sqrt(3))).\nAnswer: -32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 3, k: 1, m: 1, o: 1, g: 1}. Give prob of picking 1 m and 1 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.08 and 1109.\nAnswer: 88.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 143 + -147. Which is greater: -3 or a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-6)\/33 - 365\/110)*-2. Let m(y) be the first derivative of 9 + 0*y**2 - g*y + 10\/3*y**3. Find the first derivative of m(r) wrt r.\nAnswer: 20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5378606883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from {p: 6, r: 2, i: 1, h: 1, f: 1, d: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.217 to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 353021466?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.12 + 1.52. Let i = 0.8 - p. Let z(q) = -q**3 - 4*q**2 - q. Let o be z(-4). What is the smallest value in i, o, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, 14, -4 in ascending order.\nAnswer: -4, 1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 14224 = 8170. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**2 - 12*q - 2. What is f(-10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 1 + 5 = 0, 10999 = 5*y + n. Suppose 0 = 5*c + 5*d - y, 2*c + 5*d = 1328 - 433. List the prime factors of c.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10663 + -5209. Suppose 0 = 21*i - 21477 + g. Does 24 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 10.9 and -1123?\nAnswer: -12240.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.4  (b) -1\/2  (c) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/((((x**2\/x)\/x)\/x)\/x))**(-23)\/(x**(2\/17)*x\/(x*x**(-7))) assuming x is positive.\nAnswer: x**(-1294\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3181516 take away -120987?\nAnswer: 120986.6818484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c - 12 - 17 + 29. Let u(v) be the second derivative of v**4\/6 - 3*v + 1098. What is u(h(y))?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f + 0 + 0)*((3*f + f - 9*f)*(1 + 0 + 1) - 6*f + 4*f + f).\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 3334*c + 2364*c - 2215*c + 9280*c in the form j + w*c and give w.\nAnswer: 12763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1563 divided by -521?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -36*w**2 + 3*w**2 + 15*w**2 - 21*w**2 + (-2 + w + 2)*(0*w - 2*w - w).\nAnswer: -42*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002651163 to 6 dps.\nAnswer: -0.002651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/(-2*(-5)\/(-30)*3\/1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.01138 or -3.14?\nAnswer: -3.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 10559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2180700 divided by -75?\nAnswer: 29076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 j when three letters picked without replacement from jhyhj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.278  (b) -4  (c) 2  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 508 + 248. What is the highest common factor of 945 and n?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 106 divide 796460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-288 - 7*m + 288)*(4*m**3 + 3*m**3 - 5*m**3) + (-m - m + m)*(0*m**3 + 2*m**3 - 3*m**3).\nAnswer: -13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6235 - -6258) + (42 - -1).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -247 + 250. What is the third derivative of 32*y**2 - 69*y**w - 76*y**3 + 118*y**3 - 58*y**3 + 2*y wrt y?\nAnswer: -510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27647 is divided by 412?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -1, -3, 0, 9 in descending order.\nAnswer: 9, 2, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 73.3*-15.\nAnswer: -1099.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.03481*-177112\nAnswer: -6165.26872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 1122713127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -223*o + 226*o = 2*s + 26, -52 = 4*s - 2*o for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 49 and 25767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 3*o = 22. Let a = 5 - o. Let r(v) = v**2 + 5*v + 1. What is the remainder when r(a) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1730527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11, -22, -105, -262, -517, -894, -1417?\nAnswer: -2110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2655204 and 46191.\nAnswer: 236313156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.53 times -26252\nAnswer: -13913.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*m + 2*m - 5*m + (0 + 3 - 1)*(m + m + m) - m + m - 2*m + 21 - 21 - 6*m to i + l*m and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-1))\/(0 + 6 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that 2*o**2\/9 + 6712880*o\/9 + 5632844736800\/9 = 0.\nAnswer: -1678220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 316*h**2 - 1127*h + 11302295 wrt h?\nAnswer: 632*h - 1127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-1 + -4)*(-2 + 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17490\/29, -0.4, -1, 14, 4.\nAnswer: -17490\/29, -1, -0.4, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36488\/(-237172)*(-2)\/(-44).\nAnswer: -1\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0*(-2 + -4 + 7). Let z(i) = -4*i + 655. Is z(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5367 + -11.23.\nAnswer: 5355.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -33001, -33264, -33703, -34318, -35109, -36076?\n\"Answer: -88*a**2 + a - 32914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 + 13. List the prime factors of (-225)\/(-21) - (-2)\/j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*2830.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 11)*(2 + 2*y - 5*y - y)*(3*y**3 + 2*y**4 - 3*y**3).\nAnswer: 64*y**5 - 32*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(3\/(-3)))\/(77\/308).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the second derivative of 5*l**4\/12 - 6610*l**3\/3 + 4369210*l**2 + 2*l - 1785. Factor p(j).\nAnswer: 5*(j - 1322)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = 5*r + r. Let n(m) = -m**2 + m + 3. Let j(l) = l - 1. Let b(p) = -6*j(p) - n(p). Determine b(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3811 and 22866?\nAnswer: 22866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t - f = 5, -4*t - 3*f - 30 = -28 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o\/o**(-13)*((o*(o\/(o\/o**(-6\/17)))\/o)\/o)\/o*((o\/o**(1\/2)*o)\/o)**(1\/2) assuming o is positive.\nAnswer: o**(809\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a - 3. What is the remainder when 25 is divided by t(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 15 - 5. Is 72\/x + 3\/(-15) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 26805 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 148 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-4 + 0)*12. Let b be (-6)\/12 + (-3)\/(-8) + 200\/64. Solve h + 3 + 6 = b*f, -2*f + 5*h = -t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - -1) + (1 - -1) + -32 + 59 + -102.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = i - 58. Suppose -c + 78 = 5*n - 5*c, 0 = -i*n - 5*c + 18. What is the remainder when 40 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 58643?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*f - 11*a - 36 = -7*a, 0 = 4*f + 4*a + 24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -364 - -367. Suppose 2*m = x*c + 763, -3*m + 860 = 3*c - 277. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -3*((-11)\/3 - -2). Suppose 2*w - o = l*w - 17, w + 3*o - 19 = 0. Let d(r) = -5*r - 3. Let f be d(-4). Solve f - 5 = w*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 152012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 7 + (0 - 0)*-1. Let g be -5*(-5)\/((-25)\/(-4)). Suppose -3*k = -g - 2. Sort k, a, 0 in ascending order.\nAnswer: 0, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 78933 and 30129.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**2 - 42944*p - 85872.\nAnswer: -4*(p + 2)*(p + 10734)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6.41 + 0.99. Let t = m - 7. Sort t, -1, -6 in ascending order.\nAnswer: -6, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2509 divided by 25?\nAnswer: -2509\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1841 is divided by 606?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from {p: 2, l: 2, e: 1, n: 2, x: 1, a: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 316660495.\nAnswer: 5, 73, 867563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 87*b*q**3 - b*q + 2184*q**3 - 295*q**2 - 61*q + 1 wrt q.\nAnswer: 522*b + 13104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(180) + sqrt(20)*-1.\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-13) + (-212)\/(-13) + 66*(-28)\/(-1848)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 48 and 13656?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -29, 1, 1054, -23, 5 in decreasing order.\nAnswer: 1054, 5, 1, -23, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -8*y**2. Let w(g) = -172116134*g**2. Determine b(w(i)).\nAnswer: -236991708664847648*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1058 and 1656?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2442040 to the nearest integer?\nAnswer: 1563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 7\/8 of a minute?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 87276410 to the nearest integer?\nAnswer: 9342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2605817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2 + (-2 - -4) - 4. Suppose q = -16*n + 10*n + 30. Let m(l) = 4*l + 0*l - 4*l - 4*l + n. Give m(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.8 - 2.792. Let r = 16.792 + f. Round r to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/23?  (a) 29  (b) -1  (c) -2\/7  (d) -14  (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 29*-3\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 227739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1631*f*t**3 - 85*f + 7 wrt t?\nAnswer: -4893*f*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the second derivative of 2\/3*y**3 - 1\/20*y**5 - 1\/4*y**4 - y - 15 - 2*y**2. Let r(x) = 3*x**3 + 8*x**2 - 11*x + 11. Determine 11*c(i) + 4*r(i).\nAnswer: i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -182*m**3 + 25*m + 193*m**3 - 28*m.\nAnswer: 11*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 39, 42, 45, 48, 51?\n\"Answer: 3*s + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000217327 to five dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -604603 - 27?\nAnswer: -604632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -156, -376, -658, -1002, -1408, -1876?\nAnswer: -2406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -4568837 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(52)\/sqrt(4) + -3 - -2*sqrt(13)*1.\nAnswer: -3 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -16598 (base 11) to base 2\nAnswer: -101101100101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = 2*t + 2 - 4, 4*l = 3*t - 2. Let b = -1 - 0. Suppose 0 = 5*q + j - 2, -3*q + 8 = j + 3*j. Put b, q, t in descending order.\nAnswer: q, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 27.5787665 to 2 dps.\nAnswer: 27.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 + 5 - 4)*(396*t + 14689*t + 1015*t - 1331*t + 7436*t + 3750*t) as v*t + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from {l: 2, x: 3, i: 2, g: 4, r: 3, f: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -231\/4 + 58. Let n = 0.07 + 0.43. Which is the nearest to -0.1?  (a) -1  (b) n  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fsx. Give prob of picking 3 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 4, 5, 67, -4 in descending order.\nAnswer: 67, 5, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 + 15. Let c = -71 + 162. What is the greatest common divisor of o and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 158.13 to zero decimal places.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 231421 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -10302 - -3?\nAnswer: -10255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1056 a factor of 359697922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -483 = -3*a - 183. Suppose b = 5*g - 3, 5*b + 7*g - 9*g - 77 = 0. Calculate the remainder when a is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 335 = 5*m + 120. Let b(n) = n**3 - 2*n**2 - 3*n + 1. Let c be b(3). Suppose c - m = -3*z. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -64 + 64 + 1366613*a**2 + 390242*a**2.\nAnswer: 1756855*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -811, -761, -731, -727, -755?\n\"Answer: -j**3 - 4*j**2 + 69*j - 875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 770 is divided by 113?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13\/3041 - 9703\/3421125. Calculate the common denominator of 163\/450 and r.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.02, 0.1, -0.5, -441588, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 957035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*s - 60 = -l + 47*s, 0 = -5*l + 5*s + 180. Let b(y) = -y**2 + 119. Calculate the remainder when b(0) is divided by l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 19 = 2*q, -5*q - 5*n + 0*n = -40. Let k be 1116\/(-14) - (-26)\/(-91). Let z = -48 - k. Solve 4*w = -x + 20, 8*w + q*x - z = 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 32 + -15. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15102 (base 10) to base 13.\nAnswer: -6b49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19 - 14. Suppose -g*s + 9*s - 164 = 0. What is the remainder when s is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**3 - 8*v**2 - 5*v - 6. Suppose -3 = -5*n + 4*f - 23, 4*n - 3*f = -17. Let a be y(n). Let t = a + -9. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*w - 4*k + 52, -4*w - k - 553874 + 553792 = 0 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o*o**(-3))\/(o**1\/o)*o*o**(-2\/3)*o*o**0 assuming o is positive.\nAnswer: o**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 4 - 4)*(4 + 8 + 7)*(4*l - 3*l + 0*l) + (3*l - l + 0*l)*(-2 + 2 - 2) + l - 2 + 2 + 2*l + 0 + 0.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.4  (b) -6  (c) 2.6  (d) 2  (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(2\/3)*d**(-3\/5)\/d*d**(-3)\/d*d**(-1\/3)*(d\/d**3)\/d**(-3)*d**6*d**2*d assuming d is positive.\nAnswer: d**(71\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5659241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 106910?\nAnswer: 2, 5, 10691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**3 + 7*j**2 + 5*j + 1. Let g be v(-6). Suppose -g = 4*a - 27. Solve -a*i = -0*i - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/3, 0.12, 0.05, 0.1 in ascending order.\nAnswer: -5\/3, 0.05, 0.1, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3.1 - -3.16. Let g = j + -32.06. Let l = g - -32.0000065. Round l to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45061 - 45510 + 90571 - 77*i**2.\nAnswer: -77*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 3 h when four letters picked without replacement from hhxxhhhhhhxhhxxhhh?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.6, 0.2, -0.5, 3.47, 0.3 in descending order.\nAnswer: 3.47, 0.6, 0.3, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.054 + 23.946. Let x = b - 23.99999978. Round x to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(68)\/sqrt(64)*-2.\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (6\/4)\/((-72499)\/7252 - -10).\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -221, -618, -1193, -1946, -2877?\nAnswer: -3986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3\/33747458 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -187 = -2*k - 59. Suppose -23*u + 7*u + k = 0. Solve 29 = 5*f - 2*r, -u*f + 3*r = -18 - 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - h - 6 = 49, 0 = 7*s + 4*h + 64. Let p(r) = r - 51. Let k be p(28). Which is smaller: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -204*g**5 - 21*g + 306*g**4 + 192*g**2 - 43*g + 240*g**5 + 384*g**3 - 98*g**4 = 0.\nAnswer: -2, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 245649.4 micrograms in nanograms?\nAnswer: 245649400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v + 0*v - 2*v)*(-4*v + 18*v + 8*v) + 4*v**2 - 2*v**2 - 5*v**2.\nAnswer: 19*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((3*-2*sqrt(21))\/(5*sqrt(27)) - sqrt(14)\/((sqrt(126) - sqrt(14) - sqrt(14))\/sqrt(7))*-1)*-1.\nAnswer: -3*sqrt(7)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - n - 264 + 75 = 0, 243 = 5*d + n. Calculate the greatest common factor of d and 416.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**4 + 2*c**3 + 10*c**2 + 6*c.\nAnswer: -2*c*(c - 3)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 213685 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -30, 475, 5, -4 in decreasing order.\nAnswer: 475, 5, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**2 + 9*m + 18. Let d(i) = i**2 + 4*i - 7. Let r be d(-4). Let w be g(r). Suppose -5*l = -3*l - 10, w*l + 143 = v. What are the prime factors of v?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4956613 or 4956614?\nAnswer: 4956613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1800\/(-28) - 4\/(-14). Let k be u\/80*(-1 - 4). Suppose -k*p - 21 = 3*v, 4*p + 6 = -3*v + 5*v. Let h(m) = -2*m**3 - 3*m**2 + 3*m + 2. Determine h(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 15 = o. Suppose -2*r + 11 = -r + o*x, 3*r + x = 19. Suppose -r*g = -2*g - 3*d - 53, -60 = -4*g - 4*d. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 8) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (642\/42 - -1)*-7. Let b = 178 + f. Calculate the highest common divisor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12541 (base 6) to base 3\nAnswer: 2122121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51071 + 17617 = 1908*f for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/3*18\/3. Let v = w + 1. Suppose 0 = -5*g - 2*h + 5, g - 31 + 3 = v*h. Solve -5*t + 0*m + 2*m - 6 = 0, 0 = t - g*m + 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**3 + 9*v**2 - 19*v + 48. Give c(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -528659 - -13043603504\/24673. Let j = -1874959\/1554399 + f. Let o = j + 10\/7. Sort o, -0.13, 0.4, -4 in increasing order.\nAnswer: -4, -0.13, o, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gmmmmmgm. What is prob of sequence gmg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -68*j. Let o(z) = 22*z. Let q(s) = -17*o(s) - 6*r(s). Let h(i) = 3*i**2. Calculate h(q(w)).\nAnswer: 3468*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -5*j + 54, j - 16 = b + 2*b. Let d = j + -14. Sort d, 2, -21 in decreasing order.\nAnswer: 2, d, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -33*v**3 + 161*v**2 + 20734*v wrt v?\nAnswer: -198*v + 322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.03, -0.3, -3, 3\/7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -2*b + 3. Let v be s(20). Let k be (1 + -1 - 2)*(v + 36). Solve 5*u = -l - 8 + 22, -3*u = -l - k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -61 + 2 - (-602 + 557)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -14*v + 105. Calculate the lowest common multiple of 711 and v.\nAnswer: 7110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-30)\/24*18\/(-15)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 2*f**2 + 28. Let l(v) be the first derivative of -v**2 - 82. Calculate r(l(o)).\nAnswer: 8*o**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1*(-12)\/(-4) - -2. What is the units digit of (-1)\/(s*2\/146)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -7*g - 27. Let a be i(4). Is 2 a factor of (a\/25 + 2)\/(4\/(-460))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101271151 less than 333325?\nAnswer: -100937826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2678116 is divided by 331.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 566380000 to the nearest one million.\nAnswer: 566000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.566348 minus 0.0342?\nAnswer: -8.600548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 165\/(-40)*4*(-8)\/12. Let y be 1\/6 - (-17)\/6. Suppose j - 2 = -4*j - 4*h, y*h = -3*j. Solve j*s + 3*d = -i, 2*s - d + 1 = -2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 31 and 2449?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9*o**2 - 880175*o + 29179858.\nAnswer: -18*o - 880175","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-4)*80\/(-90)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 42*a + 820 - 1156 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1889898 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 119 - 119. Which is the third smallest value?  (a) d  (b) 1\/7  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49*o**2 - 51*o + 58 + 27*o + 24*o.\nAnswer: -49*o**2 + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**2 - 8*w - 6. Let j be d(-5). Let a be 8\/40 + j\/5. Put -1, 1, -4, a in increasing order.\nAnswer: -4, -1, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1838, 5, -5 in descending order.\nAnswer: 5, -5, -1838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000686234 to 6 dps.\nAnswer: 0.000686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 612465.1 nanometers in meters?\nAnswer: 0.0006124651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 125658688.\nAnswer: 2, 109, 18013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2648958*m**4 - 280010*m**2 - 6.\nAnswer: 63574992*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1295\/3 + -431. Let i = -246\/31 - -8. Which is the nearest to 0.2?  (a) i  (b) -1  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20681446, 41362888, 62044330, 82725772?\nAnswer: 103407214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-6*2*sqrt(50))\/(sqrt(110)\/(sqrt(44)\/sqrt(4) + sqrt(11))).\nAnswer: -24*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 48\/80*20\/9*(-117)\/1716?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*k + 0*k + 5*k + (0 + k + 0)*(2 - 3 - 1) - 2*k + 0*k + k - 32*k + 18*k - 13*k - 6*k - 361 - 37*k to the form a + r*k and give r.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 10273?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -9684018*-2\nAnswer: 19368036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -542*t + 3*q + 30 = -538*t, 2*t = 4*q + 10. Solve -5*o + 7 = 4*m + 26, -3*o = t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Express -9*k**3 + 3 + 12*k**3 - 15*k**3 in the form d*k**2 + w*k**3 + y*k + a and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 13026 (base 7) to base 14\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 + -7. Suppose -5*l + 28 + 32 = a. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57393862223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -235*h**2. Let o(u) = 482*u + 1. Determine o(f(n)).\nAnswer: -113270*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 762?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 3 r when four letters picked without replacement from {s: 3, r: 12}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1608  (b) 4  (c) -0.3434\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 39 + -21. Suppose 0*a = -3*a + 15. Suppose -a*c = 5 + 15, 0 = 4*k + 3*c - 36. What is the highest common divisor of s and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the second derivative of j**7\/126 + 2*j**6\/45 + j**5\/10 + j**4\/9 + j**3\/18 + 109*j. Factor m(z).\nAnswer: z*(z + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 106926926571.065 - 0.8?\nAnswer: 106926926570.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(5\/3))**(1\/5)*(x**(7\/9)*x)\/(x**(14\/13)\/x))**(-3) assuming x is positive.\nAnswer: x**(-238\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + k = 2*m - 5, -m - 11 = -3*k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/2736637 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 748?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8121 = -41*w + 3318. What is the highest common factor of w and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (15\/(-2))\/((-90)\/36). Find the second derivative of -5*l**z - 64*l + 1 + 5*l**3 - 244*l**5 + 121*l wrt l.\nAnswer: -4880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 97118 - 49724445\/512. Calculate the common denominator of b and 125\/12.\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 8737 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7092 - 7038. Calculate the smallest common multiple of z and 1620.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**3 - 11*u**2 + 16*u - 26. Let b(o) = 17*o**2 + 1. What is the remainder when h(10) is divided by b(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 383225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (186\/(-155))\/((((-18)\/(-15))\/(-2))\/1). Let g(o) = -2*o + 14. Let k be g(5). Sort -5, z, k, -10 in decreasing order.\nAnswer: k, z, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 132598 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*g = 9*g + 85. Let a be (-3 + g\/25)*5. Find the third derivative of -c**2 - 7*c**a + 0*c**2 + 236*c**6 - 216*c**6 wrt c.\nAnswer: 2400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - 4*h + 4, 2*h = -w - w + 10. Let r(l) = 2*l**3 - 1 + 0*l**3 + 3*l - 4*l**3 - 3*l**w - l. Calculate the remainder when 38 is divided by r(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20*2\/(-5)*2\/12.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9444 (base 11) to base 4.\nAnswer: 3003133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 14253030 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 10978 divided by -22\nAnswer: -499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 389 is divided by 124?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 20*r - 34. What are the prime factors of i(5)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 95*l + 3. Let f be v(8). Let s = 764 - f. Solve -2*b = -5*z + 9, s = -3*b - 2*z - 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*b - 15*b - 18, u + 9*b - 1474 = 0. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**1\/(z\/(z**1*z)))\/(z\/(z\/z**6)*(z\/z**(2\/7))\/z*z))\/((z**(-1\/3))**28\/((z*z**(3\/4)*z)\/(z*z*z**(-2\/5)\/z))) assuming z is positive.\nAnswer: z**(2843\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 4*l - 30. Let p be j(7). Let h be (-70320)\/(-104) + p\/13. Suppose -h - 620 = -9*b. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -109318 or -437277\/4?\nAnswer: -437277\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*a**2 + a**3 + 0*a**3 - 20 + 19 as i*a**3 + v*a**2 + b + j*a and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -23410142 (base 5) in base 2?\nAnswer: -110100110011101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.09 - 1. Let w = d - -0.11. Is 1 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 51 - 21. Let o = x - 2. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15505 + -15503. Factor -1\/4*l + 0 + 1\/2*l**i + 1\/4*l**5 - 1\/2*l**4 + 0*l**3.\nAnswer: l*(l - 1)**3*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1143.9 + 1144. Let x be 2\/3 + 20\/6. Let q be x\/4 + (0 - 4). What is the nearest to l in -4, 1\/7, q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 3814847, 15259398, 34333649, 61037600?\n\"Answer: 3814850*w**2 + w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1948986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 323259444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 494 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -121*o**5 - 22*o**4 + 115*o - 11. Let r(l) = -40*l**5 - 8*l**4 + 38*l - 4. Let v(s) = -4*i(s) + 11*r(s). Find the second derivative of v(a) wrt a.\nAnswer: 880*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 192207047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.9065 to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 15022295 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 5*x - 20 = -2*d, 5*x + 5 = 0. Suppose h - 3*b + 119 = 6*h, -d*h = 3*b - 69. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from jwvvrrrvvvvrvw.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2058, 2241, 2562, 3021, 3618?\nAnswer: 4353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 689718704 and 488?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -26*l**2 - 2*l + 1. Let u be d(1). Let x = u - -117. What is the greatest common factor of 36 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -5*n - 95, n - 1 = 2*n. Suppose 5*c - 5*w = -285, -w = 4*c - 0*w + 213. Calculate the smallest common multiple of (-20)\/(-8)*c\/(-15) and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the second derivative of 10*n**7\/21 - n**6\/15 + 22*n**3\/3 - 4*n - 1. What is the second derivative of z(t) wrt t?\nAnswer: 400*t**3 - 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2987566 smaller than -2987560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 44060 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*q**5*x - 2*q**5 - 46*q**3*x - 661*q**2*x wrt q?\nAnswer: -180*q**2*x - 120*q**2 - 276*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -17924*c**2 - 20*c + 28. Let s(a) = 5977*a**2 + 7*a - 10. Give -5*m(f) - 14*s(f).\nAnswer: 5942*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 702251701?\nAnswer: 702251701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 85 and 42?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 2*p. Let b(f) = -8*f - 2*f - 5*f - 6*f. What is b(y(w))?\nAnswer: -42*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2204 + 3?\nAnswer: -2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 6, s: 3, c: 1, y: 1, h: 3}. What is prob of sequence ct?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1 - 1075085\nAnswer: -1075086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the second derivative of -5\/12*f**4 + 27*f + 0 - 6*f**3 + 0*f**2. Find the second derivative of j(r) wrt r.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3, -322, 0.4, -2\/5 in increasing order.\nAnswer: -322, -3, -2\/5, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b - 8*b + 40. Let k(j) be the third derivative of j**4\/8 - 11*j**3\/6 + 4*j**2 + 177. Give k(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 0  (b) 2  (c) 921\/152  (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -12*x**4 - 1455*x**3 + 75833 wrt x?\nAnswer: -48*x**3 - 4365*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 10 - ((-60)\/8 + 7)*-38\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/r**(-3\/2))\/r)\/(r\/r**6))\/((r\/((r\/r**0)\/r*r)*r)\/(r\/(r\/r**10*r*r))) assuming r is positive.\nAnswer: r**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, o: 2, q: 1, m: 3}. Give prob of picking 2 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -133*(4 - (-4 - -9)). Let r = z - -29. Calculate the smallest common multiple of 18 and r.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77)\/sqrt(176) + sqrt(7) - sqrt(7)*-2*4) + -2)**2 + 5.\nAnswer: -37*sqrt(7) + 9727\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in -4\/7, -3, -0.16, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 214296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(192) + (sqrt(192) - (sqrt(192) + 1)) + 3)*2 + -2*-4*-4*2*sqrt(192))**2.\nAnswer: -6944*sqrt(3) + 738097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**2 - 25*f - 110. Calculate the smallest common multiple of s(-4) and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3821670 and 2430?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 7443645 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:19 PM and 2:07 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/((u*u*u**(-1\/3)*u*u)\/u))**(-2))**40\/((u*u*u*u\/u**(1\/4)*u)**(-4\/5))**(6\/5) assuming u is positive.\nAnswer: u**(10342\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6\/(-45))\/(1\/6). Let j = -61780 + 61784. Sort 0.1, m, j, -3.\nAnswer: -3, m, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b + 12. What is the units digit of 118\/6 - 4\/b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -0*i + 8. Let f = -4 - i. Suppose -3*z - n + 90 = -3*n, f*z = 3*n + 119. Calculate the remainder when z is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tuudbdttttt. Give prob of sequence dtu.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -334*q + 233*q + 91*q + 20 to p + a*q and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**2 - 4*f - 7. Let h be q(-3). Let i(l) = -1. Let v(s) = 5*s**3 + 2*s**2 - 3. Give h*i(r) + v(r).\nAnswer: 5*r**3 + 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p. Let v(b) be the first derivative of -17\/6*b**3 - 8*b - 6 + 0*b**2. Let q(l) be the first derivative of v(l). What is q(n(o))?\nAnswer: 17*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**2 - 3*u - 1. Let r be (-2)\/7 + 6\/21. Suppose r = -0*h - h - 3. Let f be y(h). Which is smaller: f or -2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-21)\/(-3))\/70*42\/4*(-280)\/(-36).\nAnswer: 49\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 278*a**3 - 1300*a**3 - 2059*a**3 - 1408*a**3.\nAnswer: -4489*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -76127\/10 + 7620. What is the common denominator of u and 49\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 4103, 8202, 12301, 16400, 20499?\n\"Answer: 4099*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3.4 and 324?\nAnswer: 1101.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/13375 or -4.0562?\nAnswer: -4.0562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b**2 + b**2 - 4*b**2)*(26*b**3 - 43*b**2 + 24*b**3 - 49*b**3).\nAnswer: -3*b**5 + 129*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/((g*g**8)\/g*g)*g)\/g*g\/g**(-2\/11)*g)\/((g*g*g**6*g)\/g*g*g\/g**(8\/3)*g) assuming g is positive.\nAnswer: g**(-467\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*h - 4*h + h**2)*(0 - 1 + 3) + 4*h**2 + 0*h**2 - 3*h**2 to the form o*h + y + n*h**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -6, 1, 2\/5, 4, 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 172544005549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(143) + ((2*sqrt(143) - sqrt(143) - sqrt(143))*-1 - sqrt(143))))\/(sqrt(132)\/(sqrt(108)\/(sqrt(9)*1)))*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -405600000 rounded to the nearest 1000000?\nAnswer: -406000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z, 2*f + f = -3*z + 189. Let x = 122 - f. What are the prime factors of x?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10256790 by -3418930.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -0.14, -5, -4\/3, -2, -1 in increasing order.\nAnswer: -5, -2, -4\/3, -1, -0.14, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b**4\/6 - 8053*b**3\/3 + 4101471*b**2\/2 - 12280256*b\/3 + 6136102\/3 = 0. Calculate b.\nAnswer: 1, 802, 15302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 8366018 = -3*q, -u - 12*q + 13*q = -8365994. Round u to the nearest one hundred thousand.\nAnswer: 8400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8100\/(-280))\/45*(-4)\/(-18)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Is 210437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -30295 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-33)\/(-3)*156\/(-52)*(-2)\/(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 96\/(-540)*3\/(-3092). Let p = d + 247342\/104355. Let i = -1903\/12 - -162. What is the common denominator of i and p?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -83 + 582\/7. Let x = 2.2 - -0.2. Let y = x + -0.4. Which is the third biggest value?  (a) y  (b) -2  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 1213151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28224 divided by 7056.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -727*n**4 + 163*n**2 wrt n.\nAnswer: -17448*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 - 0.1. Let o = -2.91 + -2.09. Let w = -223 + 2455\/11. What is the closest to k in o, w, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*s - 5154*s**2 - 18*s.\nAnswer: -5154*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, i: 1, n: 1, m: 2, d: 1, e: 2}. Give prob of sequence mmni.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 + 6 = -3*a. Let y(j) = -5*j**3 - 3*j**2 - 7*j + 14. Let q(z) = -3*z**3 - z**2 - 4*z + 7. Let u(h) = 7*q(h) - 4*y(h). Give u(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the second derivative of 0*p**3 + 8*p + 0 + 2*p**2 - 1\/3*p**4. Factor u(s).\nAnswer: -4*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -70080285.\nAnswer: 1\/70080285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 15*w + 248. Determine x(-14).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z - 7. Suppose 0*s + 43 = 4*d - s, -3*d = -5*s - 45. Let t be p(d). Suppose 8*k = -v + 3*k - 24, t*v - 2*k = 13. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-31)\/(431830\/(-28)) - 0. What is the smallest value in -0.3, u, -2\/11, 0.1, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1873*c + 972*c + 895*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -102 (base 5) to base 9\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 89870 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**2 - 92202*z + 92205.\nAnswer: -3*(z - 1)*(z + 30735)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44 = -2*u + 10*v, 183 = -3*v + 192 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 13.33 <= -1.089?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 22\/351 and 59\/45*(-820)\/(-984).\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 14 and -2.537398.\nAnswer: 11.462602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -13 + (12 - 14 - -9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -171.5 - -385.5. Which is the closest to 3?  (a) v  (b) -2  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1325 is divided by 414?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21 - (24 + 12 - -12).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3128474 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*c**3 + 29*c**3 + 23*c**3 - 58*c**3.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.78894846593 and -0.02.\nAnswer: 0.76894846593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 - -21. Suppose 3*d - 5*d + 204 = 0. What is the remainder when d is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from djjddjfsdjdddjsdsfd.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 + 3. Let x = y - -5.96. Let f = 0.04 + x. Which is the closest to -1?  (a) 2\/7  (b) 4  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 206 + 10. Suppose 149*p - 147*p = -3*c + 424, c = p + 148. What is the greatest common divisor of m and c?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x - 90. Calculate c(0).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 247 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 16573*h**4 - 3*h**3 + 968382*h**2 wrt h.\nAnswer: 397752*h - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the first derivative of 2 - 3*d**2 + 11*d - 4*d + 1 - 5. Is j(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 6*k + 4*f, -2*k = 5*f + 6. Let b(n) = -5*n**3 - 4*n - 1. Let m(c) = 11*c**3 + 9*c + 2. Let i(j) = 13*b(j) + 6*m(j). Give i(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i**2 - 29*i - 208 = 0.\nAnswer: -16, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 1 = -h - 0, 2*h + 18 = -2*y. Let r(b) = -b**3 - 9*b**2 - b + 7. Let s(l) = -l**3 - 8*l**2 + 6. Let m(o) = -3*r(o) + 4*s(o). Give m(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 20*w + 19339 - 19339 as y + r*w and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**2 + 10*j + 7. Give x(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/2, 0.7, -0.06, -1.04 in ascending order.\nAnswer: -1.04, -0.06, 0.7, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -14*y + 35. Suppose -3*a - 5*h + 46 = 0, 0 = y*a + h - 12 - 21. Solve 3*m - d - 8 = 0, 0*d + 2*d = -5*m + a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 2)*(93 - 630*s - 995*s - 93).\nAnswer: 3250*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 10112122020022 (base 3) in base 15?\nAnswer: 272b68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 171059506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -290, -367, -434, -491?\n\"Answer: 5*l**2 - 92*l - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 53657228 a multiple of 2372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 0, -67 = -3*p - 2*l - 19. Suppose 21*g - 89 = p. Sort -2, -13, g.\nAnswer: -13, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3\/5, -12\/7, 1\/6, -1\/110, -0.3, 0.1?\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -77?  (a) 3  (b) -0.5  (c) -7  (d) 26\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -36*h**4 + 32336*h**3 - 7264820*h**2 + 1612808*h.\nAnswer: -4*h*(h - 449)**2*(9*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -5*x - x - 10*x**2 + 6*x. Let u(b) be the third derivative of -b**5\/60 + 2*b**2. Calculate r(u(n)).\nAnswer: -10*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -96782 - -3?\nAnswer: -9677b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*u**3 + 15*u - 2 - 17*u**3 - 6*u + 9*u - 4*u**2 to the form k*u**2 + f + a*u + o*u**3 and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -5208*r. Let d(f) = 2*f**2 + 21985*f. Calculate d(t(z)).\nAnswer: 54246528*z**2 - 114497880*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**2 - 15*h - 30. What is the lowest common multiple of 30 and x(-12)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*a**3 - 8*a**3 + 5*a**3 + (-2 + 2 - 2*a)*(2*a**2 - 1 + 1) in the form d*a + v*a**2 + t + b*a**3 and give b.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81 - 4 = 7*u. Suppose 2*o = -5*n - 50, 3*o + u + 22 = 3*n. Let t be (o\/75)\/((-1)\/35). Calculate the highest common divisor of t and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1067043 divided by -4.\nAnswer: -1067043\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 678*h + 758*h - 213*h + 102*h.\nAnswer: 1325*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 126, 1, -440 in increasing order.\nAnswer: -440, 1, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67*y**3 - 30*y**2 + 60*y**2 - 242*y**3 - 30*y**2.\nAnswer: -309*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1037 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*c + 3*c - 3*c + (-c - c + c)*(-1 - 3 + 3) + 2*c - 4*c + c - 2 + 0 - c - 2*c to the form z + r*c and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 96 divide 7921934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 25200\/2 + 0 + 0. Suppose -3*a - 21 = -3*d + 4*d, -3*d - 4*a - 38 = 0. Let y be ((-100)\/6)\/(d\/i). What is y rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r\/(r*r\/r**9)*r*r)**(13\/3)\/(r\/(r**(-19)\/r)*r*(r**11*r)\/r*r*r) assuming r is positive.\nAnswer: r**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 30583\/156 - 2580\/13. Calculate the common denominator of d and 41\/237.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 73611.51 and -2?\nAnswer: 73613.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 26, -2, 2\/7, 154?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**4\/(d**29\/d)*(d\/(d*d**(2\/7)))**(-12) assuming d is positive.\nAnswer: d**(-144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*20\/(60\/(-6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*1636703.\nAnswer: 163670.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 119 - 117. Let c be 0 - (-3 + -13)\/n. Solve -c = 2*r - 6*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 70356 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j + 19. Let h be n(15). Suppose -6*z = -2*z + 12. Sort z, 0, h in decreasing order.\nAnswer: h, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 359391323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 5773387 divided by 8143\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3022482 by 6.\nAnswer: -503747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**2 + 6*z + 334. Let h be p(21). Which is greater: h or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31020 rounded to the nearest one thousand?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -96*d**3 - 3*d**2 - 6*d - 5. Let k be w(-2). Let v = k + -255. List the prime factors of v.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4561 or 4485?\nAnswer: 4561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(78) + 2*sqrt(78))*2 - (sqrt(78) - (sqrt(78) - (sqrt(78) - -6*sqrt(78)*-4))))\/(((2*sqrt(66) - sqrt(66))*-4 - sqrt(66))\/(sqrt(99)*5)).\nAnswer: -87*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -68*g + 299. Is a(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30540000 rounded to the nearest one million?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*t - 3551 + 28*t - 14*t - 801.\nAnswer: -t - 4352","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 3*z**2 + 2*z - 4. Let y(l) = -7*l**2 - 4*l + 12. Let a(v) = 8*v**2 + 5*v - 13. Let n(d) = 5*a(d) + 4*y(d). Calculate -9*m(b) + 2*n(b).\nAnswer: -3*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the first derivative of 3*n**3 - n - 3. Does 8 divide v(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the third derivative of -n**6\/40 - n**5\/20 - n**3\/2 - 21*n**2 + 2*n. Differentiate k(a) with respect to a.\nAnswer: -9*a**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 4*g**2 + g. Let i(q) be the second derivative of 3*q**4\/4 + q**3\/3 - 16*q. Give -2*i(k) + 5*y(k).\nAnswer: 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fypdddldffpdylllfdfd. What is prob of sequence llpl?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d. Let w be 12\/(-4) - -2 - -1. Let i be s(w). Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 9*h. Let w(d) = 2*d**2 - 5. Let j(c) be the first derivative of c**3 - 7*c + 119. Suppose 6*z = z - 25. Let s(b) = z*j(b) + 7*w(b). Give u(s(f)).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 139 and 43.\nAnswer: 5977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -46 + 51. Let h(i) = l*i - 6*i + 3 - i. Let q(r) = -3*r + 4. Determine -4*h(c) + 3*q(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -25 + 45. What is the greatest common divisor of d and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 118 divide 114348439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2895\/8 - -362. Calculate the common denominator of f and ((-477)\/(-210))\/((-6)\/5) - -4.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 178471807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((32\/14)\/(-8))\/(-1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 235 + -167. Find the second derivative of -4*p**3 - t*p + 65*p - 18*p**3 wrt p.\nAnswer: -132*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*p - 2*s + 4 - 2, 76*p = 79*p + 3*s - 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -471 + 888. Let q = -446 + g. Sort q, 4, -2.\nAnswer: q, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*r**3 + 16*r**3 + 5 + r**3 with respect to r.\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 8298*b + 49756. Calculate f(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -47718*s + 9018714. Give o(189).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24310)\/(-22440) - -2*(-5)\/120?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2612789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2795 divided by 6.\nAnswer: -2795\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -77.7 + 78. What is the fourth biggest value in 0.5, h, -1\/5, -9\/4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 - -9. Suppose -5*v = -3*v + 10. Which is the nearest to k?  (a) v  (b) -3  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 - ((-2)\/2 + -252). Suppose 0 = -12*d + 10*d + 4*y - 166, -h = 3*d - 3*y. Let f = 1610\/19 + d. What is the biggest value in 0, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**3 + 8*o**2 + 13*o + 9. Suppose -12*c + 2*m + 20 = -16*c, -14 = 3*c + 2*m. Let t be q(c). What is the nearest to -1\/3 in t, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnsnvnnvvesooonnsn. Give prob of sequence esv.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 4+-11763\nAnswer: -11759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1578)\/(-14) + (2 - 4). Let n = w + -111. Put 1\/5, n, 1 in ascending order.\nAnswer: n, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19.51 + 139.51. Let q = -110 - 5. Let k = o + q. Which is the biggest value?  (a) -0.4  (b) k  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -745, -1017, -341, 1757, 5751, 12115, 21323, 33849?\nAnswer: 50167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*u**2 - 2*u**2 - 2*u**2 + (-3*u - 6*u + 2*u)*(-2*u + 0*u + 3*u))*(0*u + 0*u - u**2) as x*u + s*u**4 + w + a*u**3 + r*u**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(171) + sqrt(171)*-2*2))**2 - -5*(1 + sqrt(171) + 0 - sqrt(171)).\nAnswer: 38480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -6*b + 52872. Suppose -5*i - i + b = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 3846?\nAnswer: 3846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 44\/17 and 15\/262057.\nAnswer: 4454969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 100130 - -302032230?\nAnswer: 302133020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 3005159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -2*k**2 + 70*k - 77. What is q(6)?\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(170) + sqrt(170)*1)*4 + 1*sqrt(170)*6)\/((sqrt(10) + sqrt(10) + (sqrt(10) - 2*sqrt(10) - sqrt(10)) + sqrt(10))*-1*5).\nAnswer: -14*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1497.62*109.6\nAnswer: 164139.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 51.11572m in centimeters?\nAnswer: 5111.572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2348*c - 500291 + 500291 to the form g + j*c and give j.\nAnswer: 2348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 4*a**3 + 589524*a**2 - 2358144*a + 2358160 = 0?\nAnswer: -147385, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 2\/13  (b) -15  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -355, 2804, 50 in decreasing order.\nAnswer: 2804, 50, -355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*x + 5*x - 25. Solve x = -4*t + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2a3a0379 + -2?\nAnswer: 2a3a0377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 54915257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 206567741 is divided by 6142?\nAnswer: 6139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4673973791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 2*o + 3. Let q(b) = -12*b - 17. Let g(y) = -34*m(y) - 6*q(y). Let j be g(-1). Let k = 1.8 + 2.2. Put j, k, 2 in ascending order.\nAnswer: j, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1873\/2  (b) 0.2  (c) -1  (d) -2\/47  (e) 1\/4  (f) 3  (g) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the first derivative of -1\/3*o**3 + 1\/2*o**2 + o + 150. Let n(v) = v**3 + 5*v**2 - 5*v + 1. Calculate -5*j(t) - n(t).\nAnswer: -t**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 21 + 19. 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 closest to -345 in -1, -1\/7, -0.4, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is v in v**4 - 2299*v**3\/3 - 6149*v**2\/3 - 2309*v\/3 + 1538\/3 = 0?\nAnswer: -2, -1, 1\/3, 769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 88205, 180108, 271997, 363866, 455709?\n\"Answer: -m**3 - m**2 + 91913*m - 3706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes after 8:02 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-320)\/(-560) - (0 - 62\/14)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**2 - 6*w + 6*w)*(1253 + 1772 - 791).\nAnswer: -2234*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the first derivative of -d**2\/2 - 8*d + 1. Let o = 824 - 836. Let m be j(o). Solve 4 = -m*h - 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 - 10*y**2 - 6 - 4 + 21.\nAnswer: -10*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3 + -7)\/(-5) + 1. Suppose 2*o = 10, 3*p - 6*o = -y*o + 18. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 291*u**2 - 5*u + 6. Let v be g(2). Let l = v + -2330. What is l rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 325\/(-715)*((-12)\/(-10))\/(-3)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the second derivative of -f**3\/6 - f**2\/2 - f. Suppose -6*w + w + 382 - 407 = 0. Determine s(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 31*y + 26 - 119. Solve 3*p - 2*h + 1 = 0, y*p + h = p - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*t = 12*t - 10. Let h be (-1)\/(-3)*((1 - t) + 13). Suppose 59 + 7 = 2*o - 4*m, 0 = -4*o + h*m + 122. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/655144 and -111\/28.\nAnswer: 655144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*u + 0*u - 3*u)*(0*u**2 - 3*u**2 - u**2)*(-6 + 3 + 4) in the form c*u + m*u**3 + w + y*u**2 and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(-30))\/(5\/50).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.96 + -3.8. Let n = 9.16 - h. Sort 2\/5, 0, n in ascending order.\nAnswer: 0, 2\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 262147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express j**2 - 2*j**2 + 2*j**2 in the form q*j + k*j**2 + x and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 27*k + 166. Determine y(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lp when two letters picked without replacement from npdndndnndlqqqnlnl?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 46932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -4*a**2 - 232*a - 659. Give w(-55).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -k**4\/5 - 67496*k**3\/5 - 1138927504*k**2\/5 = 0. Calculate k.\nAnswer: -33748, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) -3.6  (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from {z: 2, o: 6, b: 2, e: 3, h: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-49)\/(-6))\/49)\/((-2)\/(-3))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (28\/10)\/((-567)\/(-270)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4?  (a) 4  (b) -5  (c) -22  (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1730048 and 10028.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 59506111*c**3*s*v**2 + c**3*s*v - 48*c**3 - 3*c**2*s*v - 1699*c**2*s + 5*c*s*v**2 + 5*s - 3*v wrt v?\nAnswer: 119012222*c**3*s + 10*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 19*y**3 + 9*y**2 + 14*y - 6. Let m(p) = -9*p**3 - 4*p**2 - 7*p + 2. Let r(k) = -10*m(k) - 4*n(k). Find the second derivative of r(z) wrt z.\nAnswer: 84*z + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -0.05, -0.3, 32?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r = 4*y + 27, -4*r + 0*r = -2*y + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.3 and -3.50314.\nAnswer: -3.80314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*i**4*m - 119359*i**4 + 478913*m wrt i?\nAnswer: 12*i**3*m - 477436*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-11)\/v)**39*v**(-13)*v**7 assuming v is positive.\nAnswer: v**(-474)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 5597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 4*r**5 + 887*r**4\/2 + 20049*r**3\/2 + 63812*r**2 - 8134*r = 0.\nAnswer: -83, -14, 0, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1270, -2543, -3816?\nAnswer: -5089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 22386707531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -770 + 826. Let n be m\/350*(-15)\/(-6). Suppose -2\/5*v + 0 + 2\/5*v**4 + n*v**3 - 2\/5*v**2 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -23 and -3212.8181.\nAnswer: 73894.8163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 410 - 402. Suppose -z*q = -9*q. Solve -35 = -5*k - 4*c, 0 = -4*k + 2*c - q + 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -3955, -7646, -11339, -15034, -18731, -22430, -26131?\n\"Answer: -u**2 - 3688*u - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3731201 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l - 2*b = -85, 920 - 226 = 8*l + 2*b for l.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 25*o + 5 = -30*o, m + 1 = -o. Let p(z) be the second derivative of m + 1\/12*z**4 + z**2 - z + 1\/2*z**3. Factor p(d).\nAnswer: (d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = g - 20. Let l(h) be the second derivative of h**5\/20 + 7*h**4\/12 + h**3\/2 + 11*h**2\/2 - 4*h. Is l(g) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/9)\/(28\/2520)*(-2)\/(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, 70158, -51, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -595*z - 2*b = -592*z - 187, 0 = -z + 3*b + 77. Calculate the greatest common factor of z and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1846287 to the power of 1\/2, to the nearest integer?\nAnswer: 1359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 9) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1807941733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -275, -1\/5, -2\/17, 1, -1\/4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-10241)\/385)\/(-19))\/(2\/((-20)\/(-6)))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**2 - 34*f - 3950. Determine r(-48).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 9*d**2 + 15*d + 12. Let w(g) = g**2 + 5*g + 4. Let t(v) = a(v) - 3*w(v). Let u(b) = b**2 + 62*b. Give t(u(y)).\nAnswer: 6*y**4 + 744*y**3 + 23064*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**2 + k + 1. Suppose 0 = -2*x - 2*g, 6 = -x - 5*g + 2. Let b(t) = 2*t**3 + 3. Let u(l) = x*b(l) - 3*o(l). Find the second derivative of u(v) wrt v.\nAnswer: 12*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 - -23)*20\/(-12)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/1*3\/((-207)\/3)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*b**3 - 2*b**2*k + 33*b**2 - 651*b*k + 2*b wrt b.\nAnswer: -12*b - 4*k + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 805*w - 481 = 1329*w - 20393 for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**2\/2 - 495*t\/2 + 9456.\nAnswer: -3*(t - 32)*(t + 197)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 6548*g**2 + 7*g + 23. Let f(w) = -1638*w**2 - 2*w - 6. What is -15*f(z) - 4*j(z)?\nAnswer: -1622*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2797 < 86706\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 88 and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(2\/7)*s)**(-3\/13)*(s*s\/((s\/(s**(-4)\/s))\/s))\/s*s**(-4) assuming s is positive.\nAnswer: s**(-755\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -3*f - 55. Let g be j(-18). Which is greater: 2\/431 or g?\nAnswer: 2\/431","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 2*b - 15. Let i = 13 - b. Find the first derivative of -3 + d**2 + 2*d**4 + i*d**2 - 9*d**2 wrt d.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b**2 + 0*b**2 + 5*b**2)*(1 + 3 - 1) - 2*b**2 + 14*b**2 - b**2.\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*d + h + 2, -2*d + 3766 - 3770 = -2*h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4750174 a multiple of 826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**3 + r**2 - 2*r + 117. Let w = -64 - -64. Is o(w) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -4*g**3 + g**2 - 62*g - 502. Let a be q(-8). Is a >= 2103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7156504 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*m + 61*m**3 + 122*m**3 - 2 - 4 + 84*m**3 + 5 to w*m + d*m**3 + b*m**2 + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1088829665?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**5 + z**3 - z**2 - z. Let a(u) = -4*u**5 + 2*u**4 - 8*u**3 + 4*u**2 + 6*u. Let k(h) = -a(h) - 6*t(h). Factor k(g).\nAnswer: -2*g**2*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/25652 and 73\/16.\nAnswer: 102608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 + -4b?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p - 12. Let t be s(-8). Let a(c) = 0*c - 3*c**2 - c**3 + 4 + 4*c + 2. What is a(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 514223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 29, -2, -4 in ascending order.\nAnswer: -4, -3, -2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, 40, 102, 190, 304, 444?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 27 and 93.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * -17.232203\nAnswer: -1.7232203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 + 1. Let v be -2 - a - -193*3. Suppose -4*y - 3*h = y - v, 0 = 2*y + 4*h - 246. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 4*q**2 + 177*q + 48. Let l be n(-44). Let d(o) be the second derivative of 1\/12*o**4 - 3\/2*o**3 + l*o**2 + 3*o + 0. What is d(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(275) + (2 + sqrt(275) + -1)**2 - (sqrt(275) + -2)**2*5 - (sqrt(11)*-3*-1 + 1 + -2*sqrt(11))*2.\nAnswer: -1121 + 113*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -86 + 86 - 25*i to t*i + r and give t.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32809 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**2 + 20010*t - 18761120.\nAnswer: 5*(t - 784)*(t + 4786)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the second derivative of z**4\/12 + z**3 + z**2\/2 + 1523*z. Suppose -s - 25 = 4*s. Give y(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/111540 or 1?\nAnswer: -1\/111540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 234*l**3 - l**2 + 159.\nAnswer: 702*l**2 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 258800 and 400?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 + 210221?\nAnswer: 210222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes before 1:02 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 272, 1561, 5060, 11873, 23104, 39857?\nAnswer: 63236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 348.3 to the nearest ten.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 1232354452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*s**3 - 23*s**2 - 30*s**2 + 57*s**2)*(-3 - 2*s + 3) to m*s**4 + v*s + z*s**3 + y*s**2 + w and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (-7 - (-7 - (3 + 2))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 13*t**3 + 9*t**2 - 6*t - 4. Let p(s) = -6*s**3 - 4*s**2 + 3*s + 2. Let g(n) = 2*j(n) + 5*p(n). Determine g(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(1 + (-1 + 0 + (((sqrt(396) - (sqrt(396) + -2)) + sqrt(396) + -1 - sqrt(396)) + sqrt(396))*-2*-5)**2).\nAnswer: 3240*sqrt(11) + 119046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/3111396 and -1\/6024.\nAnswer: 6222792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes after 12:33 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the second derivative of 3\/140*t**5 - 2\/7*t**3 - 3*t - 1\/70*t**6 + 0 + 1\/7*t**4 + 0*t**2. What is p in c(p) = 0?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = -70*z + 68*z + 1398, 5*z + 990 = 3*x. Solve 0 = -16*m + 85*m + x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11 + 40. Let j be 6\/(-21) - 846\/(-21). Calculate the remainder when r is divided by (-12)\/(-10)*j\/3.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 118721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 34*t + 22*t + 0.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -544\/7 - 276\/7*u - 2\/7*u**2 = 0.\nAnswer: -136, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 6*v = -2*v + 24, 0 = -v - 1. Suppose 0*p = m*p + 100. Is 764\/(-6)*30\/p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -287  (b) 47  (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 21.9 + 109.1. Let x = p + -130.9947. What is x rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -92 or -28\/3?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in -2\/3413, -5, 2, -2?\nAnswer: -2\/3413","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1927730\/1677 less than or equal to -1150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 387, -9 in descending order.\nAnswer: 387, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5505*d**2 + 7757.\nAnswer: -11010*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 55*c**4*o*x**2 + c**3*o - 11*c**3*x**3 + 8*c**2*o*x + 5*c**2 + 2*c*x**3 wrt c.\nAnswer: 1320*c*o*x**2 + 6*o - 66*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30 - (14 + (4 - 11))) + -6 - 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*d = 110*d. Let i(l) be the third derivative of d*l + l**2 + 3\/8*l**3 + 0 - 1\/16*l**4 + 1\/240*l**5. Determine q, given that i(q) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -647 + 748. Let k(h) = -90*h + 180*h - x*h. Let j(o) = 21*o. Determine j(k(f)).\nAnswer: -231*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*a + 5*p - 15, 3*a + 2*a + 21 = -p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-8)\/(-24))\/((5\/(-72))\/((-1115)\/446)). Factor -t*w**2 + 2\/3*w**3 + 64*w - 256\/3.\nAnswer: 2*(w - 8)**2*(w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -8193\/320, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**3 + 2*y**2 - 3*y + 3. Let t be m(-3). Suppose -2 = t*s + 5*d, 3*d - 3 = 5*s - 11. Let h = 14 - 12. What is the remainder when h is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*b**3 + b**3 - 3*b**3)*((0*b - 4*b + 2*b)*(2 - 3 + 2) + 4*b + 1 - 1) to f*b**2 + l*b**4 + d + v*b**3 + c*b and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*y - 5*d - 36 + 81 = 0, 5*d = 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011 - -10000?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 + 2348*r + 1077*r)*(-2*r + 4*r - r) to the form w*r + g + h*r**2 and give h.\nAnswer: 3425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.90998812 + 0.91. What is d rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the third derivative of -c**4\/8 + 5*c**3\/6 + 5*c**2. Calculate a(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-37 + 85 - 42 + 274479*u + 28 - 34)*(3 - 2 + 0) to s*u + y and give s.\nAnswer: 274479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -522 by -174.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -5, -4, 52, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (10 - (-6 - -14)) + 6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4 + 61\/(-15) + (-6)\/(-15). Suppose 1\/3 + z*m**2 + 2\/3*m = 0. Calculate m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**3 + 7*g**2 - 6*g - 16. What is the remainder when n(-6) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 3*a = 31, 5*v - 4*a = -26 - 14. Sort v, -2, -1, -3 in ascending order.\nAnswer: v, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1149)\/25 + 39\/(-975). Sort 0, y, -5 in ascending order.\nAnswer: y, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*72.31\nAnswer: 72.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1*-12 + 1)\/(28530*(-68)\/(-4896)). Does b = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 376 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 3043*k**2 + 2 - 2413*k**2 + 2843*k**2 as n*k**2 + t*k + c and give n.\nAnswer: 3473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the third derivative of 4*l**2 + 0 - 1\/24*l**4 + 0*l + 0*l**3. Let q(z) = 10*z**2. Let d(w) = -7*w**2. Let m(r) = -7*d(r) - 5*q(r). Give m(u(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c = -56 - 64. Let r(n) = 7*n**3 + 4*n**2 - 4. Let f(s) = 27*s**3 + 15*s**2 - 15. Determine c*r(z) + 4*f(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1121 - -1123. Let b(s) be the first derivative of 10\/3*s**3 - 2*s**4 + 0*s + 0*s**f - 1. What is the third derivative of b(k) wrt k?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 0.2, 11.493, 0.5, 45, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.3019108 rounded to three dps?\nAnswer: -6.302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 320 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-24)\/10)\/(4\/20). Let b be (o\/(-5))\/((-24)\/80). Let v = 3 + b. Let z(w) = -w**3 - 5*w**2 - w + 2. Determine z(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -28*f - a + 42, 4*f + 3*a + 66 = 112 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 129 divided by -27.\nAnswer: -43\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.0011, -3, 2\/11, 51 in descending order.\nAnswer: 51, 2\/11, 0.0011, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -44*u - 71*u + 35*u + (-3 + 3 - 2)*(-u - 5*u + 5*u) to the form f + t*u and give t.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 - 0.4. Let g = 689.9 - 192.9. Let n = g - 497.3. Which is the fourth biggest value?  (a) 1\/7  (b) -3\/5  (c) w  (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 13 + 1. Let c be -3 + ((-9)\/3 - -15). Suppose -10*n + c*n = 0. Solve 16 = h*x - n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 783?  (a) 28  (b) -2  (c) -2\/5  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.049 + -4.449. Let p = -4 - m. Let l be ((-35)\/(-14))\/(-5)*2. Is p > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*w - 6*w + w + 0*w to f*w + r and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Total of 20409314065 and 0.001.\nAnswer: 20409314065.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a**2 + 5*a**2 + 3*a**2)*(-2438*a**2 - 5*a + 1131*a**2 + 1088*a**2).\nAnswer: -1095*a**4 - 25*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:25 AM and 3:04 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/((x\/((x*x**(-2\/5)*x)\/x*x))\/x))\/(x\/(x*x**(-16)))*(x**(-3\/7))**29 assuming x is positive.\nAnswer: x**(-904\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 15596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 28\/(-7) + 3 + -1. What is the second biggest value in -1\/7, -97, -0.3, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from btddttttdd. What is prob of picking 4 d?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -159421932 divided by -38988?\nAnswer: 4089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 176735605.\nAnswer: 5, 61, 149, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the third derivative of 6*d**2 + 0*d**6 + 0*d**5 - 2\/3*d**3 + 0*d + 0 - 2\/105*d**7 + 0*d**4. Find the first derivative of b(k) wrt k.\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-2\/7)*z*z**(-1))\/(z**6\/((z\/(z*z\/z**(-1\/4)*z))\/z)) assuming z is positive.\nAnswer: z**(-267\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 447224846?\nAnswer: 2, 37, 79, 113, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 8*m**2 - 397*m + 101. Let r be t(68). What is the greatest common factor of 46 and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8*u + 36 - 36)*(-24 - 3 - 3)*(4 - 3 - 2 + (0 - 4 + 3)*(-4 + 3 + 0) - 1 - 3 + 2)*(4 + 0 - 2)*(1 - 1 - 2) to j + l*u and give l.\nAnswer: 1920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let g be 0\/2 - (4 + 29). Let o = -18 - g. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -21 + 28. Suppose o*r = 2*r - 4*p + 153, 2*r = p + 56. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 2 = 18. Suppose u*w - 6*w = -1120000. Round w to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, -1336752, -2\/11, 0.7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 3*f. Let n(a) = 10*a. Let k(m) = 14*d(m) - 4*n(m). Let z be (-16)\/(-3) + 3\/(-9). Let v(l) = z - 1 - l - 4. Give v(k(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (218 - 190) + -2 + -49\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -5 times 757091\nAnswer: -3785455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -150 - -127. Let m be t\/(-56) - (-7)\/(-56). Let h be (-5)\/(-2) + (-1)\/(-2). Which is the nearest to 3?  (a) 5  (b) h  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -7  (b) 1\/14  (c) -5  (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from sssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 2*q = -1446, 2*k - 4*q = 346 + 362. Suppose -2*v = -6*v + k. Does 19 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes after 5:08 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -3109, -6218, -9329, -12442, -15557?\n\"Answer: -w**2 - 3106*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i - 0*p - 4*p - 8, -3*i + 1 = -4*p. Let y(c) = -c + 10. Let t be y(i). Suppose -t*o + 4 = x - 0, -2*x + 2*o + 8 = 0. Solve -x*u = -0 - 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i = -t - 1, 5*t - 16 = i + 21*i - 28*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1585457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*v**3 - 137414879*v + 137414879*v.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -49 in 1\/2, -5, -2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 11:29 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*s - 2*s**3 - s + 3 + 2*s**4 + 17*s**2 - 16*s**2 to u*s**3 + l + z*s**4 + c*s**2 + o*s and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-30) + 6847\/(-55965)?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 10 - ((-2)\/(-6))\/(3\/27). Suppose 2*v = -3*t + o, 4 = -v + 5*t + 14. Solve i + v - 1 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 5\/2  (b) -1  (c) -7\/4  (d) 2\/7  (e) 41707\/4  (f) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/6*(-1 + 3). Suppose 3*o - 4 = 2*o, 4*o = -s + 48. Calculate the highest common divisor of a and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -6*h - 5. Let i be z(-3). Let d be 6\/(-14) - 12\/(-28). Suppose d = -6*t + 3*t + 3. Solve i = 3*q + t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*l**2 - 1521 + 382 + 375 + 410 + 354.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in one tenth of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 3*x**2. Let h(y) = 80*y**2 + 40*y**2 - 169*y**2. Determine l(h(s)).\nAnswer: 7203*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/2112 and -47\/6.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q**3 - 2*q**3 - 9*q**3 - q**3 + 2 - 2 + (5 - 4 + 1)*(0*q**2 + 0*q**2 - q**3) + 0*q - q + 2*q**3 + 3*q + 2*q**2)*(-4 + 1 + 4)*(-522 + 337 - 511).\nAnswer: 8352*q**3 - 1392*q**2 - 1392*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 1 - 3 = 0. Suppose x = z, -2*f - 18 = -7*f - 4*x. Let s be ((-30 + f)\/2)\/(-2). Solve 3 = 2*o - s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*f - 2490166 + 222166. Round f to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 390 - 390. Let b = -1.7 - -1.8. What is the second biggest value in -3, w, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -21.4 + 9. Let l = p + 9. What is l rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 375349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 32630 * -4.\nAnswer: -130520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -525, -2119, -4789, -8541, -13381?\n\"Answer: -n**3 - 532*n**2 + 9*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 126664 times -2.5?\nAnswer: -316660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-10)\/4*(6 + 2 + -6). Which is the second biggest value?  (a) -2\/13  (b) t  (c) 1  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c**5\/8 + 3*c**4\/2 + 41*c**3\/8 + 15*c**2\/4 = 0. What is c?\nAnswer: -6, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of -11 - 2*q - 11\/3*q**3 - q**2. Let r(x) = -12*x**2 - 3*x - 3. Let g(t) = 3*h(t) - 2*r(t). Let z(c) = -c. What is z(g(y))?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 + 16*1 + (13 + -2 - 11). Is -44 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.94 - 0.06. Sort -13\/8, 3\/5, -1, k in descending order.\nAnswer: 3\/5, -1, -13\/8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**2 + 45*f - 45. Let n be g(39). Let w = n + 578. Is w a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 2 q when three letters picked without replacement from {q: 5, i: 4, r: 8}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 2*g = -0*m + 4, 2*m = 3*g - 5. Solve m*y = 5*c - 23, 2*c + 0*c = -2*y - 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -11.6 in 1, -2\/11, 0, -0.3, -1\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 191 = 13*o + 282 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -247, -1395, -2555, -3733, -4935?\nAnswer: -6167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 3510*o**2. Let t(w) = 29*w**2. Calculate 2*h(g) - 243*t(g).\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1055 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.3 + -0.6. Let c = v - -0.5. Suppose -q - 5*l = -21, -3*q - 5 = l - 3*l. What is the third biggest value in q, 0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**3 + 8*t**2 + 6*t + 4. Determine s(-8).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1790 and -0.1.\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 + 14\/(-4)*-2. Suppose j*s = -4*t + 22, 2*t - 15 = -2*s - 5. What are the prime factors of 0 - (-3 - 1)*s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a*a**(2\/3)*a*a**(1\/5)*a**(-4\/3)*a*a**(-2\/5)*((a\/a**3)\/a**(2\/9))\/(a**(-1\/2)\/a)**(1\/4) assuming a is positive.\nAnswer: a**(103\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 14691071 = -14691077, -26 = 4*w + 5*o for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/3 + (-52)\/12. Let s(y) = -2*y - 3. Let m be s(i). Let h(n) = 11*n - 6. Is h(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, -2, 0 in ascending order.\nAnswer: -2, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*k**2 - 75159*k - 5704425.\nAnswer: 3*(k + 75)*(4*k - 25353)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:47 PM and 2:43 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 5*j + 7 = 27, -5*j - 70 = -5*y. Suppose -7*k + 18 = -y. Suppose h + k = -h. Let x(q) = 2*q**2 + q - 1. What is x(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the first derivative of 981*j**4\/4 - 929*j**3\/3 + 1238. What is the third derivative of f(p) wrt p?\nAnswer: 5886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let j be 40\/(-100) - (-27542)\/5. Suppose -74*g + 65*g = -j. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1087276895 by 217455379.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 73605796 divided by -2\nAnswer: -36802898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/6)\/(3*33\/(-18))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1903948507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -606*x - 6. Let m be d(4). Let h = 458 - m. Suppose 2*z = 4*s - h, -s = s - 4*z - 1456. Round s to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 + 84443?\nAnswer: 84448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 134357 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (v + 2*v + 0*v)*(-40 + 7 - 29)*(-3*v + 3*v - 2*v**3) to s*v**3 + d*v**4 + y*v**2 + q + i*v and give d.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1091344897 to the power of 1\/3, to the nearest integer?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -211a + 87?\nAnswer: -2073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 253275918 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 204, 313, 448, 627, 868, 1189?\n\"Answer: 3*s**3 - 5*s**2 + 103*s + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 357 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 888 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*v**3 - 3 + 4 - 1 + 50*v.\nAnswer: 2*v**3 + 50*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -5*5\/(-12) - (-1)\/6. Let x = j - 43\/20. Which is the third smallest value?  (a) -5  (b) x  (c) 2  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1364 - 1592 = -38*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 17504 and 24.76?\nAnswer: 433399.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.3 and -98269.924313.\nAnswer: -98270.224313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 504.3997 litres in millilitres?\nAnswer: 504399.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -7618 + -29?\nAnswer: -7643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from cfyafcssscs.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and 413.3?\nAnswer: 2066.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -3*i + 8. Let h(o) = -1. Suppose 3*r - 3 = 3*n, -18*n + 15*n + 2 = -4*r. Give n*h(y) - t(y).\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 97 divide 11828471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*h - 4*i = 59, -3*h = 1578*i - 1580*i + 29 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 2*o + 5 = 0. Suppose 3*m - m + 3*p - 15 = 0, o = m + p. Solve -c + 2 = m, 4*i = -9*c + 4*c + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 664601 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 155964877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9 + -15. Is q*((-29)\/3 - -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -109*f**3*v - 275*f**3 + f**2*v - 772*f**2 - 398768*f*v + 9*f + 3*v wrt f.\nAnswer: -654*f*v - 1650*f + 2*v - 1544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(3\/5)*f**(-1\/28)*f**32\/f**(-27))**(-11\/2) assuming f is positive.\nAnswer: f**(-93269\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -254*b**4 + 4*b**3 - 4*b**2 + 4*b - 32. Let o(h) = h**3 - h**2 + h - 1. Let c(v) = 4*o(v) - r(v). Differentiate c(s) with respect to s.\nAnswer: 1016*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62428?\nAnswer: 2, 15607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 0*x - 7 = 0. Let r = x + 10. Calculate the least common multiple of r and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 10281, 34499, 74857, 131349, 203969, 292711, 397569?\n\"Answer: -q**3 + 8076*q**2 - 3*q + 2209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r - 16 = -4*h, -3*r - 4960 = -3*h - 4930 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -13 + 8?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 320516036 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: Let g(c) = -4*c**3 + 71*c**2 - 204*c - 97. What is g(15)?\nAnswer: -682","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 177 (base 10) to base 2\nAnswer: 10110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -5 + (10 - ((-132)\/11)\/(-6)). Suppose -2*i = i - 5*o - 5, -i = -2*o. Solve 4*n = 2*z - 24, -8*z + i = -u*z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 5 - 1943*f + 1686*f.\nAnswer: -257*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -33*h**2 + 28*h**4 + 33*h**2 + (-1 + h**2 + 1)*(-4*h**2 + 14*h - 14*h) to a*h**4 + s*h + c + g*h**2 + l*h**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 take away 316108158405?\nAnswer: -316108158404.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 61 - 4 - -2 - 4. Suppose -r + 2*h + x = 5*h, -2*r + 126 = 2*h. Let z = 133\/2 - r. Which is the third biggest value?  (a) 0.2  (b) z  (c) -0.3  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 10, r: 10}. What is prob of picking 3 r?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (852\/10)\/(-22 - 1904\/(-85)).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes after 7:08 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 10*f - 12. Suppose 0*q = f*q - 16. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mwkk when four letters picked without replacement from qkqwqqqmkqkqmk?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + 33 - (-372 - -364)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4419*m - 1 - 4418*m + 1 - 2894*m + 11738*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fhf when three letters picked without replacement from {i: 5, h: 4, f: 6}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3946861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1173 + -0.06.\nAnswer: -1173.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) -1  (c) -1909\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -17872 - -17889. Solve -3*v + 2*c + 7 = j, 0 = -3*v - 5*c - 38 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one twentieth of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1a6825 (base 11) in base 15?\nAnswer: -63b62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.01208, 10, -1\/216, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6327 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 72779 (base 10) in base 9?\nAnswer: 120745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3600965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 + (15\/5)\/(-1) + 4. Let c(p) be the first derivative of 1\/15*p**6 + 0*p**3 + 0*p**2 + 0*p + 1\/10*p**4 + n + 4\/25*p**5. Factor c(b).\nAnswer: 2*b**3*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 660, -9, 3, -5 in increasing order.\nAnswer: -9, -5, 3, 660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 5*a + 10 = 0, 4*a - 5 = -t + 5*a. Suppose -3*s + 486 = -5*v, -2*s + 291 = -t*v + 2*v. Is (-2)\/(6\/v) + 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(85) + -6*(1*sqrt(85) - sqrt(85)))\/(6*sqrt(15)\/sqrt(3)).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -339?  (a) 5  (b) 2  (c) -3\/4  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in 1\/3, -4, 49\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10142829 and 1377.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6.7 - 0.3. Let f = -11.565 + 11.965. What is the closest to -1\/3 in v, 1\/3, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -167680 (base 15) in base 13?\nAnswer: -2c1423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 + 21. Suppose 16 + w = -3*g. Let d = -10 - g. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 154971, 154852, 154659, 154398, 154075?\n\"Answer: q**3 - 43*q**2 + 3*q + 155010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 3*p + 35344 + 17726 = 0, -p + 70772 = 4*q. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i + 15 = 0, 6 = 4*j + i - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -114*a - 46*a - 44*a + 7108 = 1600 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 21426 and 124985.\nAnswer: 749910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 115252217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/9*y**4 - 8\/9*y**2 - 10\/9*y**3 + 0 + 0*y.\nAnswer: -2*y**2*(y + 1)*(y + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*z + 10*z + z**2)*(3 - 1 + z - 3).\nAnswer: z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n - 5. Let t(h) = 1. Let f(z) = l(z) + 5*t(z). Let q(o) = 11*o. Determine q(f(c)).\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -309*l**2*r**2 - l**2*r - 342*l**2 + 2*l*r**2 - 3*l*r - 2*l - 32*r + 34 wrt l.\nAnswer: -618*r**2 - 2*r - 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2, 3 in descending order.\nAnswer: 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 91753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 4*u - 61. Let h(p) = -p. Calculate -2*h(j) - t(j).\nAnswer: -2*j + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 43 = -z - 3*h, 5*h + 186 = 4*z. What is the remainder when z is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 + q)*(-1378 + 812 + 712) to x*q + i and give x.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2\/4)\/(7\/(-308)). Is 9 a factor of (-14)\/77 - (4316\/o - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 228 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 6*1712\nAnswer: 10272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*p - 0, -2*q + 5*p = -35. Suppose -q*x + 30382 + 126238 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 247080507 to the nearest integer?\nAnswer: 15719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*s - 3270 = 2316. Let m = s - -644. List the prime factors of m.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 118 - 113. Let s be p\/(((-4)\/(-2))\/2). Let h(w) = s*w + 5*w - 4*w - 3*w. Let c(j) = -j. Give c(h(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -16, -11, -18, -43, -92?\n\"Answer: -w**3 + 12*w - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.06 + -0.94. Let p = 0.4 + 0. Sort h, 0.1, p.\nAnswer: h, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 191929049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -42893\/23573 + 3\/2143. Suppose -d + 4*m - 6*m + 7 = 0, 4*d - 3*m = -16. Which is bigger: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*b**3 - 5*b**3 + 4*b**3 + (-b - 2*b - 2*b)*(0 + 2*b**2 + 0) in the form j + i*b**3 + c*b + d*b**2 and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 372824 and 976.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**2 - 27*w + 23327. Let u be b(139). Suppose 4*s + r + 4*r = 256, 2*s - 122 = -4*r. What is the greatest common divisor of s and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x - 3*x - 20 = 0. Suppose 2*q - 3 = 1. Let p(s) = -2*s + 1 + q + 1 - 2. What is p(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 980440 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 80 - 76. Suppose -3*o = 5*f - f, 0 = -4*f - i*o. Solve 4*q + 1 - 21 = f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**3 + 3*y**2 - 6. Let p be s(-3). Let h = p - -8. Suppose 5*f - 65 = 5*w, h*f + 5*w = -f + 39. Calculate the remainder when 49 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -9*r - 91*r - 44*r - 226 + 1139 - 1176*r wrt r?\nAnswer: -1320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5.93 - -0.07. Let y = -1.17 + 1.07. What is the third smallest value in w, y, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 164147.\nAnswer: 164147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l = 4*c - 12, -5*c = -4*l - l + 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 3*t = 2141, 2*h - 4*t - 1766 = 2508. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1363*l = 1470*l + 1819 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2175 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 124 divided by -31\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 27878 divided by 2?\nAnswer: 13939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t*t\/((t*t\/(t*t*t**(2\/9)*t))\/t)*t*t)\/t**29)\/(t*t*t**5)**26 assuming t is positive.\nAnswer: t**(-1834\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 300?  (a) 1\/2  (b) -7\/25  (c) -0.4  (d) -0.1  (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4.4 - -4.6. Which is the nearest to v?  (a) -0.5  (b) -3\/20  (c) -0.2  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 78 divide 147186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (4\/4)\/(14\/6)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-126*v**3 + 31*v**3 + 30*v**3)*(-v + 2*v + v) - 50*v**4 + 1173*v**2 - 1173*v**2 as w*v + y + s*v**3 + i*v**2 + k*v**4 and give k.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 14 - 15 + 2*g + 2*g**3 - 5*g as s*g**3 + a*g + j*g**2 + k and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*s + 5*h - 182, 18 + 936 = 214*s - 203*s + 4*h for s.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 716 = -700. What is the common denominator of -20*(u + (-325)\/(-70) + -1) and -59\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -121120561.\nAnswer: -2\/121120561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -57 + 63. Let z be y - (-3 - -3) - 4. Suppose 3 = h + 2*k, -k + z*k = -h + 8. Calculate the greatest common factor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1801551 divided by 600517?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from uvmmrvtiimmvrt?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 97 + -93. Suppose w*u - 28 = -10*u. Is (u + -3)\/(7 - 6) - -486 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 9*i**2 + 5*i + 5. Suppose 3*l + 81 + 12 = 0. Let s = -26 - l. Let k(w) = 14*w**2 + 8*w + 8. Calculate s*k(x) - 8*n(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 divided by 158?\nAnswer: 323\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 78256297 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 3*w**5\/5 - 5091*w**4\/5 + 410007*w**3\/5 + 1696107*w**2\/5 + 2141814*w\/5 + 860808\/5 = 0.\nAnswer: -2, -1, 89, 1612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 225*b**2 + 3 + b**2.\nAnswer: 226*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -10323322 (base 4) in base 8?\nAnswer: -47372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 + 135?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 43*s**2 - 39*s + 2. Let x(v) = -30*v**2 + 25*v - 1. Give 5*j(o) + 8*x(o).\nAnswer: -25*o**2 + 5*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zozzcjcojojc. Give prob of picking 2 j.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 302 and 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*b**5 + 27*b**4\/4 + 51*b**3\/2 - 51*b**2\/4 - 45*b\/2 + 6 = 0. What is b?\nAnswer: -2, -1, 1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 1 l when three letters picked without replacement from xlfxu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and -3606.\nAnswer: 10818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**3 - 39*p**2 + 225*p - 36. Let w be a(32). Put -26, w, 0, 2 in ascending order.\nAnswer: -26, w, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2511 and 405?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kx when two letters picked without replacement from uegegggexxekx?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14214 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (13\/91)\/(3978\/468*4\/7)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 171194 is divided by 84627?\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 3*h + 33. Let n be c(-10). Suppose 28*v = 10*v - 72. Sort v, 1, n, 5.\nAnswer: v, 1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**3 - 4 - 2 - 12*j**2 + 0 + 12. Calculate d(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*k + 20*k = 8280. Let p = k + 507. Which is smaller: 45 or p?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(1\/2)*y)\/y)**(5\/6) assuming y is positive.\nAnswer: y**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**2 + 75*s + 323. What is l(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 87793 + -16680719\/190. Calculate the common denominator of h and 49\/8.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -172411, -172407, -172401, -172393?\nAnswer: -172383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 2  (b) 5\/4  (c) -3  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-5 + 3 - -2 - -3) + 2. Let v(o) = o**2 + 11*o - 7. Let s be -13*1 - (-2 + 1 + 0). Let g be v(s). What is the greatest common factor of g and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5*7\/(-28)*-4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47 + 2*x - 36 + 83.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 33*(2 + -5)\/(-9). Let s = 24 - 20. Suppose 5*p = s + v. Solve 7 = -5*k - p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13569 + -13568.9. Which is greater: r or 2584?\nAnswer: 2584","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7554622500 to the nearest 1000000.\nAnswer: -7555000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 75  (b) -0.3  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 493812 and 2580.\nAnswer: 2469060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/(-2) + (-39)\/(-3). Let w(n) = n - 8. Let c be w(f). Differentiate -7 - 2*m - c*m + 3 wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/9  (b) -0.109  (c) 54  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -12?  (a) -4  (b) -2\/3  (c) -3\/11  (d) -41  (e) -0.3  (f) 0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -210*s - 54 - 912 - 1344 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/4)*o**3\/o)\/(o**(-1\/4))**(4\/13) assuming o is positive.\nAnswer: o**(121\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 142076 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: How many minutes are there between 2:22 PM and 4:04 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 161*f**2 - 143*f**2 - 2*f**3 - 5*f - 8 - 12*f + 2*f. Let n be i(8). Let c(s) be the third derivative of -s**5\/60 - 3*s**3\/2 + s**2. Determine c(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5257 * -0.1.\nAnswer: -0.05257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 8a913 (base 14) in base 8?\nAnswer: 1221245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 32.154674 - 934750\nAnswer: -934717.845326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 336 + -333. Let b be (1*y)\/(-1) + 43 + -38. Let n(f) = 4*f**2 - f**2 - f**3 - 1 + 2. Give n(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -30, 4, 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 83 = 207. Let i = n + -36. What is the greatest common factor of i and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(2\/45))**(-17))**9 assuming r is positive.\nAnswer: r**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -5601348734489 and 4?\nAnswer: 5601348734493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 313062867?\nAnswer: 3, 13, 19, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 103 + 306461446\nAnswer: 306461549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(2\/13)\/h*h*h**(1\/7)*h*h)\/(h**(-1)*h*h*h*h)**(-31)*(h**(-2\/3)*h**(2\/5)\/h*h)\/(h**(-1)\/h*h*h*h)**(-26) assuming h is positive.\nAnswer: h**(165206\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -149 - 236 = -5*n. Solve 4*z = -65 + n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -64, -107, -148, -187?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5696 - 5808. What is the smallest value in 3, 0.4, 6, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*r + 14 = -2*r. Suppose -2*a + 3*c = -14, r*c = 3*c + 2. Solve -2 = 2*w + 4*k, -a*k - 4 = -w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**3 + 6*f**2 - 5*f + 2. Let a be u(5). Let z be (2\/3)\/((-3)\/(-9)). Find the second derivative of 0*n - a*n**2 + 3*n - z*n**5 + 2*n**2 wrt n.\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 40\/7, 0, 1\/5 in decreasing order.\nAnswer: 40\/7, 1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y, 1 q, and 1 n when three letters picked without replacement from tnnvqtsttttyqsqtt.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -5*v**2 + 3*v + 2. Let o(j) = -9*j**2 + 7*j + 5. Let r(x) = 5*a(x) - 2*o(x). What is the second derivative of r(c) wrt c?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 21639 + (-2 - (-2 + 16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -5, 54, -24, 2, 20 in descending order.\nAnswer: 54, 20, 2, -1, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1216*g*u**5 + 7*g*u - 62*g + u wrt u?\nAnswer: -24320*g*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.00626 times 2\nAnswer: 0.01252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-42)\/364*((-742)\/(-21) - 35)\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((d*(d*d*d\/(d**(-12)*d))\/d*d)\/d)\/d)**41)**(-2\/153) assuming d is positive.\nAnswer: d**(-1066\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1747*a**2 + 856*a**2 + 977*a**2 + (-2*a + a + 2*a)*(0*a + 4*a - 3*a) + (-3 - 2 + 3)*(275 - 22*a**2 - 275).\nAnswer: 131*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 81\/1924 and (-8)\/4 - (424\/1144*-3 - 1).\nAnswer: 21164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 726\/(-1210)*(-1 - (-1458)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 15, 10, 1, -6, -5?\n\"Answer: b**3 - 8*b**2 + 12*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 31, 28, 21, 10?\n\"Answer: -2*o**2 + 3*o + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 3*l**2 + 60*l - 48. Let a(h) = -h. Let x(p) = 15*a(p) + c(p). Suppose x(k) = 0. What is k?\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 945*h = -12234 + 16959 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**2 - 16*s + 30. Let a be o(14). Suppose 5*w + 0*w + 3*i = 28, -w - a*i = 0. What is the first derivative of -3 - 5 - 5 - w*y**3 + 6 wrt y?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + -9 + 11 + 1 + -1 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-128)\/48*-2*(-12)\/16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2635\/2 + 1347. What is the common denominator of c and (315\/(-50))\/(48\/60)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -45 + 46. Let g(m) = -6*m + 2. Let f(a) = -a + 1. Let z(l) = s*g(l) - 5*f(l). Suppose 4*c - 19 = -w + 2*w, -3*c = 2*w - 17. What is z(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1457 - 8?\nAnswer: 144b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 129 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1216.904 and 10.95005.\nAnswer: -1205.95395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-32)\/(-8)*27\/(-18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5216623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-94)\/(-376)*32\/88.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 36601 + -17588. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 35*s**2 + 280*s - 4. Give t(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 72 and 558.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -58\/297 and -31\/30?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -32 divided by -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1419772 divided by -17\nAnswer: 83516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47*h + 13*h + 9*h + 10*h + h**2 + 12*h.\nAnswer: h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 68*y - 26*y - 6*y**2 - 42*y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the third derivative of -k**8\/14 + 3*k**5\/10 - 16*k**2. What is the third derivative of v(o) wrt o?\nAnswer: -1440*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (t + 18 - 18)*(5 + 24 + 29) to c + r*t and give r.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24228 is divided by 564.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 287507551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 160793052, 321586105, 482379158?\nAnswer: 643172211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**2 - 29*h - 185. Calculate d(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from {v: 3, p: 1, a: 1, c: 1, z: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (21\/30)\/7*(-28)\/(-14).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1246 = 8*u - 4*u + 166. Calculate the smallest common multiple of u and 780.\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dggdddwdz. What is prob of picking 1 g and 1 z?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -7*y + 9. Let d(k) = -3*k + 4. Calculate -5*d(w) + 2*i(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -2*c**4\/7 - 622*c**3\/7 + 11170*c**2\/7 + 1599750*c\/7 + 24075000\/7 = 0.\nAnswer: -321, -25, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 172500*v**2. Suppose u = 5*u - 8. Let p be d(u). Round p to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7266 and 2587907?\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -15*p**2 - 325*p + 110 = 0.\nAnswer: -22, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p**3\/3 + 2286*p**2 + 6856*p\/3 = 0 for p.\nAnswer: -3428, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*o**2 + 3*o**2 - 4*o**3 - 64*o**3.\nAnswer: -68*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 155.583585 to one decimal place.\nAnswer: 155.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 16*k**2 + 0*k - 15*k**2 + k - 10. Determine a(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 61309920 divided by 6130992?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of ((-13473)\/5988)\/((2\/2)\/(-18804))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**2 + 165*w - 6656. Calculate b(96).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeeyzzzyeezzzez. What is prob of sequence zzey?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -1931*z + 4*z**2 + 5 + 2*z**3 + 1930*z + 5 + 0*z**2 - z**2. Let j(y) = -y**3 - 5*y**2 + y - 8. Let q(x) = 2*c(x) + 3*j(x). What is q(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -5) + -8 + -14 + 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: a291 (base 14) to base 16\nAnswer: 6d37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 + 41. Let v be 2\/5*f\/(-1631). Let n = -480\/1631 - v. What is the second smallest value in -2\/3, 0.06, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 2*d**2 + 5*d - 4. Let t(m) = -5*m**2 - 9*m + 7. Let o(a) = -5*c(a) - 3*t(a). Is o(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 435080?\nAnswer: 2, 5, 73, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 107 - 94. Suppose 0 = w*r - 61280 - 75012. Suppose -15*a - 1829 + r = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13 + 13.04. Let i = -0.08 + p. Let c = i - -0.24. What is the third smallest value in -2, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5.8 + -5.6. Which is smaller: d or 37?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1259585 or 3778757\/3?\nAnswer: 1259585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*n**4 + 0*n**4 - n**4 + (3 - 3 - 6*n)*(-4 + 4 + 4*n**3).\nAnswer: -31*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 783*h**2 + 72*h**2 - 315*h + 2 - 131*h wrt h?\nAnswer: 1710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5728*(-29)\/(-45936) + (-6)\/99. Factor -4\/9 - o*r**2 - 4\/3*r**4 - 28\/9*r**3 - 2*r - 2\/9*r**5.\nAnswer: -2*(r + 1)**4*(r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-42)\/35)\/((-6)\/40). Suppose -y - 80 = -2*s. What is the highest common divisor of 16 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000104684 to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1027*u - 1033*u = -114. Solve -q - 5*w - u + 8 = 0, 6 = 4*q - 5*w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (11\/22)\/(1\/228).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2178 by 553205.\nAnswer: -2178\/553205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ttr when three letters picked without replacement from {t: 2, o: 8, r: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -38919, -159054, -359277, -639588, -999987?\nAnswer: -1440474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3278 - -8)\/(0 - 1). What is q rounded to the nearest one hundred?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the third derivative of -h**6\/24 + 5*h**4\/24 - 15*h**2. Find u, given that r(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*r + 9 - 9)*(-12*r**2 + 16*r**2 + 10*r**2) in the form t*r**3 + n*r + q*r**2 + c and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 a factor of 743990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13026490 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 0*p + 4 = 2*p, 4*p - 6 = -2*s. Let d be 2\/3*(s - -2). Suppose -d*q + 5 + 1 = 0. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12907929 rounded to the nearest 100000?\nAnswer: -12900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-442815*j**2 + 218685*j**2 + 216590*j**2)*(j**2 + 0*j + 0*j) in the form x + k*j**2 + w*j**4 + p*j + z*j**3 and give w.\nAnswer: -7540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -218 - -178. Let t = 7.8 - 8.3. Sort t, c, 2\/5, -0.2 in descending order.\nAnswer: 2\/5, -0.2, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/246 and 23\/123.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence glla when four letters picked without replacement from {g: 8, l: 7, v: 1, w: 1, a: 1, p: 2}?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the second derivative of 17*m**6\/10 + 3*m**5\/5 - m**3\/3 + 3387*m**2 - 6259*m. What is the derivative of f(p) wrt p?\nAnswer: 204*p**3 + 36*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from enlzlxzeyxxzxle.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 1 - (-2 + 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -76, 2\/13, 5 in decreasing order.\nAnswer: 5, 1, 2\/13, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43959.\nAnswer: 3, 14653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + 2*u - 421 = -404, -5*u + 5 = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -635502 divided by 2\nAnswer: -317751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**(-1))**39)**14)**(-30\/11) assuming a is positive.\nAnswer: a**(16380\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -27 or -2745\/97?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 26 - 18. Let u(s) = s**3 - 8*s**2. Let r be u(x). Suppose w + r*w = -5500. What is w rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5\/23, 199, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -88 - -98.64. Round u to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:32 PM and 10:06 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**2 + d - 1. Let o(h) = -16*h**2 + h - 3. Determine o(k) - x(k).\nAnswer: -15*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 3, -11, 11075\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/100 and 95\/12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -17*q + 5. Suppose -2*k + 8 = -6. Let h be s(k). Let w be ((-8)\/h)\/(10\/(-15)). What is the nearest to 2\/5 in 3\/8, -1, w?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*i**3 + 5*i + 3*i**3 - 6 + 4 in the form a*i**3 + x + m*i + h*i**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 23*r - 163. Let v be s(7). Sort 4, v, 1 in decreasing order.\nAnswer: 4, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 21216080 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2 + -2 - 29994\/30*-1. Let n = l + -995. Factor -n*r - 36\/5 - 4\/5*r**2.\nAnswer: -4*(r + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1060*i - 2170 = -1061*i. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14 - -2) + -45 + 51.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 451*f - 282 + 489 + 2725.\nAnswer: 451*f + 2932","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-27)*(-2*18)\/(-3)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:43 PM and 7:55 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 7 + 4*r**2 - 5*r**2 - 7. Let z(h) = 3*h. Let m(j) = 13*j. Let s(a) = -2*m(a) + 9*z(a). What is t(s(y))?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 74*a**3 - 5*a + 5. Let q(t) be the third derivative of -37*t**6\/120 + t**4\/12 - t**3\/3 - 4*t**2 - 67. Calculate -5*q(x) - 2*u(x).\nAnswer: 37*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -108, -214, -328, -456, -604, -778, -984?\n\"Answer: -u**3 + 2*u**2 - 105*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 + 3*5*1\/3. Suppose p*y = 4*y - 138. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7323\/7 + 1047. Factor -j*z**2 + 0 - 6\/7*z.\nAnswer: -6*z*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1007434961?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 5*g**3 + 6*g**2 + 6*g + 1. Let s(i) = 4*i**3 + 5*i**2 + 5*i + 1. Calculate 3*r(l) - 4*s(l).\nAnswer: -l**3 - 2*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (182*g - 2*g + 283*g - 34*g)*(-2*g**2 + 2*g**2 - g**2) as w + v*g**2 + h*g**3 + j*g and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) 15  (b) 12  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 249283946?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (-7 - -12 - ((-2 - -3) + 11))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 0 = -163. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*i = -2*i - 5*l - 1, -11 = -3*i + 5*l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 36.3713 * -29\nAnswer: -1054.7677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 10 = -38. Let a(s) = -53*s**3 - 5*s**2 - 5*s + 5. Let w(v) = -132*v**3 - 12*v**2 - 12*v + 12. Determine c*a(o) - 5*w(o).\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(-3))**(6\/17)\/(x**(-2))**(3\/14) assuming x is positive.\nAnswer: x**(219\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**3 + 4*u**2 + 17*u + 12. Let h be v(8). Let l be 6 + (h\/52 - 4). Let j = 12 + -9. Are j and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -2*y**3 - 4*y**2 - 3*y - 2. Let w be b(-2). Let j(g) = 0 + 3 - g + 4 - w. Suppose 3*o + 5*c = -34, 0 = -2*o + 5*c + 8 + 11. What is j(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.07 + -0.23. Let k be ((-5)\/2 - -2) + (-15)\/(-25). Let m = 92 - 91.7. What is the third biggest value in m, b, k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 2\/15 of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*j + 4*j - 2*j)*(753*j + 621*j + 305*j + 1499*j - 639*j).\nAnswer: -5078*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 2 g when three letters picked without replacement from {g: 7, m: 3, c: 7, n: 2}.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7 by 3262776.\nAnswer: 7\/3262776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 3 b when four letters picked without replacement from aababababaababaaaa?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 23*s + 284. Determine z(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 57*g + 24687 = -60*g, 4*y - 49389 = g. What is the highest common factor of 168 and y?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 25206, 25419, 25632?\nAnswer: 25845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4266 + 4386. Solve -23*h = -3*h - a for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 + -6 - (1 - 2)) + 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 449821, 899781, 1349741, 1799701?\n\"Answer: 449960*p - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -613576440 divided by 61357644?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:20 AM and 1:25 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (100\/(-150) - (-10)\/6) + -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**1)**(1\/13)\/((h\/(h**(-2\/9)\/h))\/h)**(-2\/61))**(-17\/6) assuming h is positive.\nAnswer: h**(-11764\/21411)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 86?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppppppjppjpp. Give prob of sequence jj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 48 + -39. Let d(g) = -g**2 + 5*g - 3. Calculate the remainder when h is divided by d(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -1. Let k(a) = -a. Let z(u) = k(u) + 4*x(u). Let l(h) = h**2 + 3*h - 3. Let s be l(-3). Let d be z(s). Which is smaller: d or -1\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 4*s**2 + 7*s + 4. Does 15 divide w(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.2193527 millimeters?\nAnswer: 219.3527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the second derivative of 0 - t**2 + 1\/3*t**3 - 1\/6*t**4 + 1\/30*t**5 - 2*t. Let x(n) be the first derivative of u(n). Factor x(h).\nAnswer: 2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 22*u + 11 + 2.\nAnswer: 22*u + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 6  (b) -0.2  (c) -0.7  (d) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1119921473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 3*m**2 + 3)*(-m + 3*m + 2*m) + (m**2 + 0*m**2 + 0*m**2)*(3*m + 2 - 2) - 3*m**3 + 7*m**3 + 2*m**3 in the form h*m + y*m**3 + b + l*m**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 13) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*v - v + 2*l + 191 - 179 = 0, l = -4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s - 2*s + 4*s)*(3*s - 3*s - s**2) - 20*s**2 - 13*s**3 + 20*s**2 + 34*s**3 - 2*s**3 + 50*s**3 + (1 - 1 - s**2)*(0*s - 4*s + 5*s).\nAnswer: 67*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = -z + 2. Let k = z - -16. Let h = k - -3. What is the greatest common factor of 168 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 659 divided by 90.\nAnswer: 659\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.0098 and -22057572994?\nAnswer: 22057572993.9902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1311855637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 48*z - 6539. What are the prime factors of x(168)?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 4, 5, -3, 677, 0.\nAnswer: -3, 0, 4, 5, 7, 677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -3*v**2 + 4*v - 8. Let g(s) = s**2 + 1. Let x(b) = -2*g(b) - z(b). List the prime factors of x(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -182 - -190 - 77\/10\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p\/((p*p\/(p*p**(-3\/7)))\/p))**19 assuming p is positive.\nAnswer: p**(209\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/4)\/((-4)\/112). Suppose h = 3*h - p - x, 2*p = 5*h - 35. Solve -3*z - h - 2 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 + 56701?\nAnswer: 56696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -162582, -325187, -487792, -650397, -813002, -975607?\n\"Answer: -162605*j + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1436 (base 8) in base 15?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/(-2)*(-154)\/(-21). Let v = -21 - -21.1. What is the closest to v in -3, s, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3531163 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 u when three letters picked without replacement from {u: 10, l: 4, q: 5}.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 36 and 232641?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 152, 287, 398, 485, 548, 587?\n\"Answer: -12*j**2 + 171*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes before 3:25 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 101 (base 2) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12523, -12524, -12525?\nAnswer: -12526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 629.6067 millennia in months?\nAnswer: 7555280.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1633834 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: Calculate prob of picking 3 b when three letters picked without replacement from cxhbxbhbhhbfhhxbb.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 856441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6397*f**2 - 334 + 334 - 6414*f**2.\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 162 = 9*g + 117 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**3 - f**2 + 8 - 8 + 4*f. Let y = 3 + -6. Calculate d(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/2, -19, 5?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 18295089 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: Is 188721 bigger than 188722?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - w = -2, -2*w + 4 = -3*q - 0*q. Suppose -3*b + 2*b + 30 = 0. Suppose q*u - b = 3*u. What is the common denominator of 145\/6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0044173 rounded to 4 decimal places?\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 4 + 0 + -43 + -26 + 70\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 860 is divided by 76?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 7*w**3 + 5*w**2 + 4. Let b(f) = -3*f**3 - 2*f**2 - 2. Determine -9*b(q) - 4*r(q).\nAnswer: -q**3 - 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -381 + 381. Which is the third smallest value?  (a) -1\/5  (b) -7  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 15) in base 8?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16 + 26. Let v be y\/25 + (-27)\/5. Put -3, 3, v in decreasing order.\nAnswer: 3, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of a**4 - 142*a**3 + 92*a - 1 wrt a.\nAnswer: 12*a**2 - 852*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1576 by -788.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**2 + 4*g - 2. Let f(w) = w**2 + w - 1. Determine -3*f(n) + z(n).\nAnswer: -2*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(19) + (sqrt(152)\/sqrt(72))**2.\nAnswer: 37\/9 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 418*n = 428*n - 10. Let p = -4 + 64. Is p*9 - (-2 + n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1966404 divided by -51.\nAnswer: -655468\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 38197678 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - l - 1 + (-3*l + 2*l + 3*l)*(3 - 1 - 6) - 2*l + 4*l - 3*l to k*l + z and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2674116 divided by -531.\nAnswer: 5036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 290 and 224178120?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8089744 and 20176?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -5*q + q. Is (-13)\/(q - (-9)\/5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c**4\/3 + 34*c**3\/3 - 73*c**2\/3 - 34*c\/3 + 24 = 0. What is c?\nAnswer: -36, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9.6 - -9.6143. What is x rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19175, 19945, 20711, 21473, 22231, 22985?\nAnswer: 23735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 138.5429 + -139.1. Let f = 20.4 + -19.819. Let b = v + f. Round b to three dps.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**2 - 17*b - 6. What is the remainder when 70 is divided by g(-15)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -6*o**2 + 230*o + 159. Determine j(39).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d + d - 2*d)*(-2*d - 1 + 1) + d**2 + 3*d**2 - 2*d**2.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/45)\/(41\/(-410)*-2)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -928, -838, -748, -658?\n\"Answer: 90*y - 1018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 3*d - 24. Let p be i(8). Which is greater: p or -27\/32?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81 divided by -107375?\nAnswer: -81\/107375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the second derivative of -7*i**4\/4 + 13*i**3\/2 - 9*i**2 + i - 26. Solve d(z) = 0 for z.\nAnswer: 6\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1343 and -101808.\nAnswer: -100465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d**2 - 2*d**2 + 0*d**2)*(2 + 3 - 3)*(-2 + 3 - 3).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 42944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2447664?\nAnswer: 2, 3, 50993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -2699, -2607, -2515?\n\"Answer: 92*m - 2791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2447793731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-11068.\nAnswer: -22136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.04 + 0.06. Let o = -0.98 - l. Let s = -0.5 + 0. Which is the second biggest value?  (a) -2\/5  (b) s  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, -3, -1, -11 in ascending order.\nAnswer: -11, -4, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1 - 3 + 19*s**6 - 200*s**2 + 179*s**2 wrt s.\nAnswer: 2280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -93139588.3 to the nearest ten thousand.\nAnswer: -93140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 26*w + 82. Let d be u(-3). Let s(o) = 2*o**2 + 2*o + 1. Let a be s(-2). What is the derivative of a + 2*x**4 - 22*x**d + 3 wrt x?\nAnswer: -80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-30\/7)\/(x**17*x))\/(x**(-35)\/x**10) assuming x is positive.\nAnswer: x**(159\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + b**2 + 3306*b + 4070*b - 2307*b.\nAnswer: b**2 + 5069*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) 0.097  (c) 2  (d) -1  (e) 1\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15663 + -3581. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a day in seconds?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*f - 2 + 2 + f + 0*f + 0*f + (-2*f + 0*f + 6*f)*(-3 + 6 - 2) + 2 - f - 2 + (-5*f - 3 + 3)*(-3 + 0 + 1) + 2*f + f + 7*f in the form j*f + l and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*a - 758*a**2 - 29 + 756*a**2 + 301*a + 577 = 0. Calculate a.\nAnswer: -2, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 68167 or 68257?\nAnswer: 68257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 45288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**2 + 7*z + 35. Calculate d(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4465  (b) 5  (c) 435\/11  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 + ((-6)\/9)\/(4\/(-6)). Let i = -60 + 74. Solve 0 = -2*f - p + y*p - 1, -2*p = 4*f + i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 425, 423, 427, 443, 477, 535?\n\"Answer: d**3 - 3*d**2 + 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 4*f + 3. Suppose -9 = -3*l - 3. Let r(y) be the third derivative of -2\/3*y**3 + l*y**2 + 0*y + 0 - 5\/24*y**4. What is 3*r(s) + 4*z(s)?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.08 - 2.92. Let l = 5 - 10. Let m = -0.338 - 0.162. Which is the second smallest value?  (a) m  (b) l  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 1 + 5)*(1 + 0 + 5 - l + (-3 - 1 + 2)*(-2*l - l + l)) to the form t*l + j and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -3*a + 11. Let g be y(5). Sort 2, g, -1 in increasing order.\nAnswer: g, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4 - 2\/((-4)\/2). Suppose -28 = -96*o + 89*o. Sort o, -2, n in increasing order.\nAnswer: -2, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmmmobobombbommomom. Give prob of picking 2 m and 2 b.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 7*o**2 + 11*o + 5. Let t(j) = j**2 + j. Suppose 0 = -2*z - 1 + 3. Let p(f) = z*n(f) - 6*t(f). Suppose q = 3*q - 6, -3*k = 3*q + 6. Give p(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 218806 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 15) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 9*y**2 - 9*y + 4. Let v(r) = r**2 - r. Let p(o) = 22*v(o) - 2*z(o). Determine a, given that p(a) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, 0, 3\/4, 13, -15 in descending order.\nAnswer: 13, 3\/4, 0, -11, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1, -13, -39, -77, -127, -189, -263?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8045418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 6*j = -66. Suppose 5*n = 2*n + j. Calculate the remainder when n is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 8*p**2 - 9 + p + 10 - 2*p**2 - 3*p. Let x be k(1). Solve -2*h = -0*h + 2, -2*g = x*h + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27084150.\nAnswer: 2, 3, 5, 139, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 250 and 241190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 7*((-4)\/2 + 1). Let q(k) = -k**3 - 7*k**2 + 3. Let b be q(g). Determine w, given that b*w**2 + 2*w + 1\/2 + 1\/2*w**4 + 2*w**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3\/221015345 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9.14 + -0.14. Let z = v - 8.9. Which is the smallest value?  (a) -0.4  (b) z  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 45*c + 1. Let i(b) = b**3 - 2*b**2 + b. Let a be i(2). Is y(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand m**3 - m**3 + 7*m**3 + (2*m + 0*m + 0*m)*(-m**2 - 4*m + 4*m).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-132)\/(-540)*99*55\/242\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 85319 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -467  (b) 4\/3  (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/36*3*(-1)\/(-3).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -36\/47, 1226, 43 in descending order.\nAnswer: 1226, 43, -36\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 205 - 198. Solve 25 = -5*d, -3*h + 6*h + u = d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1085786666?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002398 to 5 dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(4 + (sqrt(3) - (-1*sqrt(3) + sqrt(3))**2*1))*1 + (sqrt(75) - (sqrt(75) + 3))**2*-5 + ((1*sqrt(75))**2 + sqrt(75))*-6.\nAnswer: -471 - 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16 - 23. Let y(h) = h**2 + 8*h + 10. Let t be y(d). Let r**t + 0*r**2 + r**3 - 2*r - 2*r**2 + 0*r**2 + 2 = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 11*j**3 - 8*j**2 + 79*j - 281. Give s(4).\nAnswer: 611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -464 = -15*h + 256. Suppose -h = -16*z + 80. Let x(a) = -9*a - 7. Let p be x(-3). What is the highest common factor of p and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1203599191?\nAnswer: 1203599191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 7\/3, -10125\/22, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - -676.3059?\nAnswer: 678.3059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10 + 21. Suppose -35 = -5*v + 5*j, -v + 4*j + t = -j. Solve 2*r + r - v = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 14\/(-6) + (4 - 60\/9). Let u be 2\/(-9) + (-38)\/(-90). Which is the third smallest value?  (a) p  (b) u  (c) 0.11  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12963*c - 5 = -3*k + 12965*c, -5*k + 3*c + 10 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 22 and 3.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1783 + 1821. Calculate the remainder when 2581 is divided by f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 266 != 138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 6:21 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 27 * 30.\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -57065820, -57065818, -57065812, -57065802, -57065788, -57065770?\n\"Answer: 2*o**2 - 4*o - 57065818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 161\/256650 and -121\/500250.\nAnswer: 29514750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the first derivative of 3*f**4\/32 - 39*f**3\/8 + 1521*f**2\/16 - 6591*f\/8 - 11. Factor n(a).\nAnswer: 3*(a - 13)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1\/(-1))\/(1 + 0). Let l be 10\/(w - (0 + -3)). Suppose -3*o = -l*o. Solve o = 3*y + 2*y - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 1)*(4*t - 2 + 2)*(-t**2 - t**2 + 0*t**2).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the second derivative of r**2\/2 + r. Suppose 39*s + 16 = 31*s. Let w(a) = -a + 4. Determine s*w(y) + 7*m(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand m**4 + m**4 + m**4 + (-2 - 3 + 4)*(-m + m - 2*m)*(0*m + 0*m - 2*m**2)*(2*m - m - 2*m + (-m + 3*m + 0*m)*(0 - 3 + 5) - m + 5*m - 3*m).\nAnswer: -13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42 + 22 = -10*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 149.03883ms in hours?\nAnswer: 0.000041399675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*m + 154 = -10*m. Let k = -74 + m. Let a(i) = -5*i**3 + i**2 + 4. Let b(d) = 11*d**3 - 2*d**2 - 9. Determine k*b(g) + 7*a(g).\nAnswer: -2*g**3 + g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**3\/5 - 509*b**2\/5 - 1014*b\/5.\nAnswer: -b*(b + 2)*(b + 507)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69974 is divided by 430.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2967*t - 10 = -2969*t, -3*q + 2*t - 1 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -17 + 27. Calculate the lowest common multiple of 9 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 85\/896576 and -51\/16?\nAnswer: 896576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 392 by 2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1448 + -7268\/5. Which is the second smallest value?  (a) k  (b) -0.3  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(198)\/(sqrt(6) + sqrt(6) + (sqrt(864)*1 - sqrt(864))))\/(-2*2*sqrt(1584) - sqrt(1584)).\nAnswer: -1 - sqrt(3)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6101 + 4?\nAnswer: 6105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-8)\/(-12))\/((-4)\/6)*-1. Let i be (-271)\/2*n + (-2)\/(-4). Let x = -46 - i. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8281837 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*c + 1 - 1 + (43 - 22 + 32)*(10*c - 9 + 9).\nAnswer: 528*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 51.8 + -55.8. Let o be (87\/93 - 1)\/5. Let z = 163\/620 + o. Which is the closest to -1\/2?  (a) r  (b) 1\/3  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**2 - 5*k - 1. Let d be 10 + -24 - (-2)\/(-1). Let v = -9 - d. Suppose -a = -v*a - 24. Calculate n(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xzzxxzzzzx. What is prob of picking 2 x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*i**2 - 2*i**2 + 3*i**2)*(3 - 3 - 3)*(-14 + 0 + 79)*(-3 - 1 + 5) as y + q*i + l*i**2 and give l.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 32\/26 + 12\/(-36)*27 + 8. What is the second biggest value in r, 4\/9, 11?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the second derivative of -v**9\/3024 - v**8\/840 + v**6\/180 + v**5\/120 + v**3\/6 + 3*v. Let p(a) be the second derivative of y(a). Factor p(q).\nAnswer: -q*(q - 1)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ftheeeteeeefeeeehhet. Give prob of picking 2 t.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 320530 (base 7) in base 9?\nAnswer: 84104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 131330 (base 4) to base 9.\nAnswer: 2558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 27*m - 373. Determine w(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ggiiigiiig?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l - 3 + 1. Let j be 35\/5*(2 + l). What is the third derivative of -7 - 4*m**2 + j - m**4 wrt m?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 4 + 5. Let j = 11744.1 - 11744. Which is the nearest to j?  (a) f  (b) -8  (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -10 + (9 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 840 and 174860?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q + 16. Let w be n(0). Calculate the greatest common divisor of w and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 254720077.\nAnswer: 254720077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 202 - 205. Let o = 0 - 0.2. What is the closest to 1 in k, 0.3, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2420316?\nAnswer: 2, 3, 67231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 3*i**3 + 4 - i + 0*i**3 + 0*i**3 + 6*i**2 - 2*i**3. Let c be u(-6). Suppose 0 = -0*r + 2*r - c, 4*r = -5*w + 35. Solve w*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 482*c. Let g(s) = -201*s**2. What is p(g(j))?\nAnswer: -96882*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 250*(-3)\/((-6)\/73600). What is d rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 437 a factor of 161996337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -405 + 400. Which is the nearest to 4\/7?  (a) 30\/11  (b) v  (c) 0.4  (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 20.3 - 20. Let h be 4\/18*3\/2. Sort -5, v, h in descending order.\nAnswer: h, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6194.7 to the nearest 100.\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -341, -984, -1627, -2270?\nAnswer: -2913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 44 and 528?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9818, 1.42, -2, -4, -32 in increasing order.\nAnswer: -9818, -32, -4, -2, 1.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4795?\nAnswer: 5, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:56 PM and 9:15 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4.3 + 111.3. What is v rounded to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 238*o**2 + 5909969*o - 5909969*o - 248*o**2.\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add together 493856622 and -883.\nAnswer: 493855739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 27, 3, 0, 14, 1 in increasing order.\nAnswer: 0, 1, 3, 14, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1384, -1367, -1348, -1327, -1304, -1279?\nAnswer: -1252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -6*v - 1 + 0*v - 3 - v**2. Let j be q(-4). Solve a**3 + 4*a - 4*a**j + 3*a**2 + 1 - 6*a**3 + 0*a**2 + a**3 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 5 - (37 - 30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 168102426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 663697.7 decades to months.\nAnswer: 79643724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-12\/11))**48)**(12\/17) assuming g is positive.\nAnswer: g**(-6912\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -27880412, -55760811, -83641210, -111521609, -139402008, -167282407?\n\"Answer: -27880399*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1196 divided by 299.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -162 + 139. Let w = k + 25. Which is the nearest to -2?  (a) 0  (b) w  (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1, 0.01, 0, -147, -0.4, -36?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 - 5. Let a = -7.82 - -7.72. What is the second smallest value in a, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1404*92.07\nAnswer: -12.926628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*t - 14 + 8 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-34) - 288\/34*(-1512)\/336?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 164 is divided by 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3394 and 336628799.\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 20\/(-8)*(4 + -8). Solve 2*r = z - 10, 2*z + 2*r = -z - v for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -5*c - 7 + 4 + 2*c + 4 - 2. Let q(h) = -2*h. Suppose -3*t + 2*p = 10, -4*p = t - 2 - 18. Suppose -7*g + 2*g + 10 = t. Determine g*q(u) - 2*f(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 3*d = -d + 147, 4*d + 330 = 2*q. Calculate the remainder when q is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 103 - 100. Suppose 0*j - a*n = -5*j + 15, j - 15 = 3*n. Let v(i) = i + 10. Let u be v(-3). Solve -l + 3 = x, 3*x = -5*l - j + u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*i**2 - 2*i**3 + 0 + 2*i**2 + 3 in the form w*i + s*i**2 + z*i**3 + g and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -4 + -5*6*((sqrt(320) - (sqrt(320) + -1))**2 + 2 + sqrt(5) + sqrt(5) + 4).\nAnswer: -210 - 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the first derivative of -2 + m - 3*m**3 + 12*m**2 - 11*m**2 - 2*m. Determine s(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 + 7 - 7)*(5 - 1 - 1)*(3 - 46*q - 55*q + 83*q).\nAnswer: 486*q - 81","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -22520, -21594, -20668, -19742?\n\"Answer: 926*p - 23446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-80)\/(-462))\/5)\/(-246*(-80)\/14760)?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s + 4*d + 80, -4*s + 0*s - 64 = -4*d. Let f = s + 23. Let r be (f - 9) + (0 - 0). Which is the second biggest value?  (a) -1  (b) -4  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -114*s**3 - 32*s**2 - 2 + 111*s**3 + 2*s + s + s in the form i*s**2 + g + d*s**3 + r*s and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3606 is divided by 157?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -12112010 (base 3) in base 15?\nAnswer: -12d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1607, -1621, -1651, -1703, -1783, -1897?\nAnswer: -2051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**3 - 14*i**2 - 33*i + 20. Let w be (-3 + -1)\/(4*5\/(-80)). Let x be m(w). Solve 2*d + x = -g, d + 6 + 5 = 4*g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4574, -6294, -8014, -9734, -11454?\nAnswer: -13174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 42 by -476296.\nAnswer: -21\/238148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -69 - 1419*f**4 - 7926*f**2 + 130 - 61 + 2453*f**2 wrt f?\nAnswer: -34056*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 26 - 26. Suppose g = -o + 16 + 1. Solve o = n - 4*q, 4*n + 6 + 1 = q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes after 8:14 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2 - 1)\/((-9)\/(-30)). Let f be ((-2)\/x)\/(6\/(-5)). Let y(i) = -4*i**2 - i - 1. Let p be y(-1). Which is the smallest value?  (a) p  (b) f  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 76058?\nAnswer: 2, 17, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*v - 267*v**4 + 97*v**4 + 3*v**3 - 136*v**4 - 176*v**4 as w*v**3 + h*v + a*v**4 + r*v**2 + g and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11, -30, -67, -128, -219?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, g: 3, j: 2}. Give prob of picking 2 j.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-205)\/(-220) - 1)\/(45\/24).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 7945696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/15, 0.26, 1.2, -5 in ascending order.\nAnswer: -5, 2\/15, 0.26, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0 + (0 - (-2 + 2)). Let y be 10\/(-4) + (2 - 10\/4). Sort l, 3, y in increasing order.\nAnswer: y, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 19389.678 to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11745 divided by -27.\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s**(-2\/11)*s)\/s)\/(s**1\/s))**(-27))**12 assuming s is positive.\nAnswer: s**(648\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 93498001.8 - 19.7\nAnswer: 93497982.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 82325.44 litres to millilitres.\nAnswer: 82325440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2.5 or -25340?\nAnswer: -25340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.0871 and 0.031.\nAnswer: 0.1181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*g - 206*g - 2782 = 0 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 - -5. Suppose -6*h + h = 0. Suppose h = 6*p - 4*p - 22. What is the highest common divisor of p and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1180 - 361 = 7*n. Suppose 19*p + 41 = n. Solve 2*b + p*d + 14 = 0, -2*b - 2*d = b + 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -447355039 * -1\nAnswer: 447355039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 216753 is divided by 1831?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 + 13*g**2 - 14*g - 3. Give v(12).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 15887136 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16*h - 77*h - 206*h + 51*h to the form n*h + f and give n.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(147) + sqrt(147)*2 + sqrt(147) - sqrt(147))*-6)\/(sqrt(70)\/(-1*sqrt(10))))\/((1*-1*sqrt(6))\/((-1*sqrt(6))\/sqrt(3) - sqrt(2))).\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-six fifths of a century?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 132 a factor of 26596503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 233*q = 230*q + 150. Suppose -170 = -2*v + q. What are the prime factors of v?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**3 - 5942889*i**2 + 11885790*i.\nAnswer: -3*i*(i - 2)*(i + 1980965)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -18024, -18023, -18022, -18021, -18020, -18019?\n\"Answer: t - 18025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 56, 45, 26, -1?\n\"Answer: -4*z**2 + z + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x. Let o be q(0). Let n(f) = 2*f + 3. Let s be n(4). Solve o = -3*c - u + s, c = 2*c + u - 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the second derivative of 0 + 0*y**2 + 1\/6*y**4 + 0*y**3 - 2*y. Let l(d) = -d + 0*d + 3*d. Determine q(l(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.687 + -0.667. Let k = 261 + -266. Which is the nearest to 2?  (a) -1  (b) k  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 + (-27)\/6)*(-49 - -50)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1122671512?\nAnswer: 2, 41, 1237, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 3*j - 8*j + 90 = 0, 5*p = -2*j - 76. Let t(b) = -b**2 + 8*b - 11. Let z be t(5). Is p\/(-4) - -614 - z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * 1681.\nAnswer: -5043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 175 - 188. What is the nearest to t in 5, -4, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 4*d**2 - 5 + 5*d**2 + 9*d - 5*d + 3*d. Let p(y) = -2*y + 6*y + 29 - 29. Let w be p(1). Let r(t) = 5*t**2 + 4*t - 3. Determine w*v(k) - 7*r(k).\nAnswer: k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 346852.3mg?\nAnswer: 0.3468523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/17)\/(-6 - 13\/(-2))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3 + 2 - 6\/(-4))*2. Let q = 97 + -97.5. What is the third biggest value in 2, 3, q, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**2 + 4*l + 25. Suppose 24*y + 5 = 19*y, 3*s - 27 = 3*y. Give z(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 369894288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 8986582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 4, k: 7}. What is prob of picking 4 k?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.3758 - 0.0758. Let q = -12 - -12.26. Let o = -1.74 - q. What is the third smallest value in p, o, -12\/19?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -19*s**3 + 3*s**2 - 31*s. Let f(n) = 9*n**3 - n**2 + 15*n. Let z(i) = 6*a(i) + 13*f(i). Find the second derivative of z(x) wrt x.\nAnswer: 18*x + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/(-3) + -5 + 9. Solve -9 = d + c*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-3))**46*b*(b\/(b**(-8\/5)*b))\/b*b**(9\/4) assuming b is positive.\nAnswer: b**(-2683\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 4909, 6153, 7389, 8617?\n\"Answer: -4*k**2 + 1256*k + 3657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -40197, -66269, -109723, -170559, -248777, -344377?\n\"Answer: -8691*c**2 + c - 31507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -6*w - 1. Let l(n) = n + 1. Let a(i) = -d(i) - 3*l(i). Let m be a(2). Let k = -1 + m. Solve b = 3*x + k*b + 25, -15 = 3*b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.051 in -1\/1688, 5, 0.3, 1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:10 AM and 2:26 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 363 divided by 17.\nAnswer: 363\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 133.08 and 17?\nAnswer: 116.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 229791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -2*k**2 + 1439900*k - 259164001250 = 0.\nAnswer: 359975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {i: 5, b: 3, u: 2, f: 5, s: 5}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 - (-5677)\/(-63)) + (-68)\/36 + 2?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(170)\/(1*sqrt(10)))**2*-2.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.625 and -3477.\nAnswer: 5650.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, z: 1, n: 1, j: 2, h: 1, y: 1}. Give prob of picking 1 y, 1 j, and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**2 - 13*j + 5. Calculate i(-9).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 0 + sqrt(931) + 4)**2 + (sqrt(931) + 0)*4 + (2*sqrt(931) - sqrt(931))**2 + -2.\nAnswer: 28*sqrt(19) + 1860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**2 - 7852*x + 7853.\nAnswer: -(x - 1)*(x + 7853)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -104835\/1916 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 1)*(2*a + 2619*a**2 - 2619*a**2 + 5 - 65*a**3).\nAnswer: 65*a**3 - 2*a - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 4\/3 of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -49 + 49.1. Sort v, 8.1, 2 in ascending order.\nAnswer: v, 2, 8.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 2*d - 13. Let v be u(8). Solve 0 = 6*c - v*c + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2564011?  (a) 0.3  (b) 8  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -4*i + 3. Let n be f(0). Sort -0.29, n, -0.1, 0.1 in increasing order.\nAnswer: -0.29, -0.1, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate c**3*o**2 - 3*c**3 - 15*c**2 + 144*o**3 with respect to o.\nAnswer: 2*c**3*o + 432*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and -0.25.\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10482230 is divided by 332.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and -1.51871.\nAnswer: 7.59355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t + 2*t - 497. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5345 (base 6) in base 11?\nAnswer: a07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -108.000281 + 108. Round i to five decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*a + 154 = -164*a + 81*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*w - 40*w - 31*w - 993704 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 - 3. Differentiate 1 - 2 + y*i**4 - 2 - 3*i**4 with respect to i.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-7)\/(147\/(-6)))\/((-3)\/(-7))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.05 - -0.15. Let t be 2\/(12\/15) - 2. Suppose 134*x - 92*x = -168. Which is the biggest value?  (a) 9  (b) m  (c) x  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -185.98893806 + -0.21120464. Let h = -186.2 - s. What is h rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 3 s when four letters picked without replacement from ccsteeccnssetcccss?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 85.75031 micrometers in kilometers?\nAnswer: 0.00000008575031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 410*g**3 + 14*g**2 + 14*g - 9. Let s(b) = -206*b**3 - 6*b**2 - 6*b + 4. What is -3*p(t) - 7*s(t)?\nAnswer: 212*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 take away -487.96?\nAnswer: 485.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -9537 and 5359249413?\nAnswer: 5359258950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*l + 1680 = 13*l. Suppose 194*d + l = 200*d. Solve 0*p - 4*p - 36 = d*n, 2*n + 5*p = -28 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**3 - 8*k + 2. Suppose 8 = -4*o, -w + o - 2*o = -2. Let s(t) = t**3 - t - 1. Let y(l) = w*s(l) + 2*r(l). Find the second derivative of y(c) wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 + 6*m + 6. Let z be h(-5). Let p be 1 - 4\/(z + -3). Solve 16 = 6*b - b + 2*l, 0 = l - p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g + 10 = 5*s - 2*g, 2*g + 24 = 5*s. Suppose -s*v = 5*m - 2240, -4*v + 464 = m - 0*v. Suppose -t + 5*t - m = 0. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0156*-8.437\nAnswer: 0.1316172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:54 AM and 1:06 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5770*y - 5768*y - 29*y**3 + 11538*y.\nAnswer: -29*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1121, -2241, -3361, -4481, -5601?\nAnswer: -6721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 0, 17, 48, 93, 152, 225, 312?\n\"Answer: 7*t**2 - 4*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 725.6*1\nAnswer: 725.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -95058*t**2 + 95058*t**2 - 183647*t**3 - 24858*t**3.\nAnswer: -208505*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**2\/3 - 2440*d - 14636\/3.\nAnswer: -(d + 2)*(d + 7318)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 106 divide 3498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -378*y**5 - 29*y**3 + 29*y + 395?\nAnswer: -7560*y**3 - 174*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 114 - 1484\/13. Let c = 0.1 - 0.3. Are c and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1086 + 1100. Which is smaller: 25\/2 or p?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-4)\/(-1) - 2)*1. Suppose -4*k - 11 = 5. Let q(f) = -f**2 - 7*f + 8. Let t be q(-8). Which is the closest to t?  (a) n  (b) -3  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1032 and 20245131?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 3*z**2 - 3*z - 50. Let n(f) = -f**2 + f + 16. Let l(c) = -11*n(c) - 4*s(c). Let p be l(5). Solve 5*u = 5, 1 + 11 = -p*q + 4*u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**2 - 24269130*b - 461112387.\nAnswer: -3*(b + 19)*(b + 8089691)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i = -4*i - 260. Let w = 28 + i. Suppose 0 = -p + 6 - w. Which is the fourth biggest value?  (a) p  (b) 0.4  (c) -0.5  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (3297*g**3 + 2631*g**3 - 581*g**3 + (3 + g - 3)*(g**2 + 1 - 1) + 0*g**3 + g**3 - 3*g**3)*(5*g**2 - 2*g**2 - 3 + 4).\nAnswer: 16038*g**5 + 5346*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2410 = -41*a - 2369 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**2 - 10*p + 8. Let f be q(6). Let g be 0 - -1*f\/4. Is (g\/(-6))\/(((-44)\/714)\/(-11)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1038669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00322911611 to 4 dps.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1081 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21.6*-0.1565.\nAnswer: 3.3804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1804928552 - 0.46.\nAnswer: 1804928551.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 36329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 9, 2, -27, 1, -1153 in decreasing order.\nAnswer: 9, 4, 2, 1, -27, -1153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 20 - 25. What is the second smallest value in 2, -4, h, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60*b + 628 = -59*b. Suppose 1910 + b = 9*w. Calculate the remainder when w is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1.6, -1\/6, 0, -5, -69?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (210\/20)\/(15\/10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert b (base 14) to base 4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2\/935, 30, -0.4, 1\/4 in decreasing order.\nAnswer: 30, 1\/4, 2\/935, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 + 0. Let t(s) = -2*s - 44. Let u(c) = -c - 22. Let h(b) = 2*t(b) - 5*u(b). What is the least common multiple of m and h(0)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**16\/a**(-26))\/((a\/(a\/(a*(a*a\/(a**(4\/11)\/a)*a)\/a)))\/a*a\/(a\/((a*a*a**29)\/a))) assuming a is positive.\nAnswer: a**(103\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 238 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1304\/7*n**3 + 213858\/7 + 2\/7*n**4 - 426408\/7*n + 211244\/7*n**2 = 0. What is n?\nAnswer: -327, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-18)\/(-12)*(-16)\/6. Let m(a) = 2620*a - 20. Let b(k) = 524*k - 4. Let g(s) = 11*b(s) - 2*m(s). Let j be g(r). Round j to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3255 times -1.2?\nAnswer: -3906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/(-304)*(-5776)\/(-10108)?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -2*a - 220, 0*m + 4*a = 2*m - 220. What are the prime factors of m?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1*(-3)\/(-21) - -1. Solve 32\/7*k + c*k**2 - 32\/7*k**3 + 8\/7 - 2*k**4 = 0.\nAnswer: -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 603820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5563?\nAnswer: 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 9719 = 3*x, -9737 = 5*x - 8*x + 4*q. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**3\/5 - 83496*p**2\/5 - 871447752*p\/5.\nAnswer: -2*p*(p + 20874)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 24354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the second derivative of l**4\/12 - 17*l. Let h(z) = -17*z**2. Determine s(h(r)).\nAnswer: 289*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1020*m + 1028*m = -48. Let j(w) = -3*w + 7. Calculate j(m).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:11 AM and 8:54 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -147.9 + 148. Let b = 1.3 - 1.1. What is the third smallest value in -0.5, q, -13, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 29*w + 3580. What is the remainder when 313 is divided by j(-120)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 18\/(-21)*(-14 + 0). Let o be (-3 + i)*1\/1. Suppose 4*g - 38 + 26 = 4*u, -4*u - 12 = 4*g. What is the nearest to 1 in g, o, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 8, x: 2}. Give prob of picking 1 x and 1 u.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 558993066?\nAnswer: 2, 3, 93165511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 21407 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 76118989 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p - 20 = 3*p. Suppose 20 = 5*d, -2 - 14 = -2*l - p*d. Solve l = -5*t - r - 12, -2*r = 3 + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3134, 6253, 9342, 12389, 15382?\nAnswer: 18309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(-2\/19)*g**0)\/(g\/(g*g\/(g**12\/g)))**(4\/13) assuming g is positive.\nAnswer: g**(-539\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**3 - 9*m**2 - 40*m + 365. Let i be n(9). Solve v + 11 = -i*x, 1 = -3*x - 18*v + 23*v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the first derivative of -p**4\/24 + p**3\/18 + p**2\/6 - 1. Factor m(t).\nAnswer: -t*(t - 2)*(t + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from auuaaa. What is prob of sequence uu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.78 + 0.22. Suppose 0 = 5*m - 5*z - 5, 0*z + z = -3*m - 17. Put 0.2, m, w in ascending order.\nAnswer: m, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 11 = 3*a, b = -5*a + 3 + 8. Let w be -1 - (4\/a - 8). Is (397 - 0)*(6 - w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a meter in centimeters?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, t: 2, q: 1, m: 1}. Give prob of picking 1 m and 1 t.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -207 - -207.025. Let c = -0.02536 + s. What is c rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3*(-2)\/(-4))\/((-12)\/(-72)). Let l(i) = -i**2 - 2*i + 96. Let n be l(s). Sort 0.01, 2\/5, 1, n in increasing order.\nAnswer: n, 0.01, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0 - -2)*(7 - -3). Let z = r - 15. Solve 0 = z*q + 29 - 9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35358 (base 12) to base 13.\nAnswer: 26624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1412 - -4276.7\nAnswer: 5688.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/14977440 and 71\/16475184?\nAnswer: 164751840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mnv when three letters picked without replacement from vnnnvvvvvvvmnvvvn.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.46*125291\nAnswer: -57633.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 91 = 83. Let s(o) = o**2 - 4*o - 7. Let u be s(q). Solve p - u = 4*z - 14, 0 = 5*z + p - 9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -59 - -60. Let h = 5.4 + -5. Which is the nearest to t?  (a) -1  (b) 0  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-240)\/(-32) - 15)*(-3 + (0 - -1))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r + t + 43, 4*t - 9 = 5*r + 71. Let s = r + 27. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -b1 + -30?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 9698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 24 = 2*l - 54, -2*l = f - 18. Suppose 3*h = -2*h + f. Suppose 2*d - 19 - 1 = 5*q, 2*d = -h*q + 20. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 75  (b) -9  (c) 26  (d) 3\/8  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 - -477?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -7*v**3 + 6*v**2 - 8*v + 6. Let h(i) = -6*i**3 + 5*i**2 - 8*i + 5. Let l(c) = -5*b(c) + 6*h(c). Find the second derivative of l(n) wrt n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 992\/(-1506) - (-6)\/9. Let t = -3536\/2761 + g. Let n = -103\/55 - t. What is the third smallest value in 3, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cmccuchh. What is prob of picking 1 c, 1 m, and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/7  (b) -0.03  (c) 0.5  (d) 3  (e) -4196\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0.03, -0.5 in descending order.\nAnswer: 0.03, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 9, j: 5}. Give prob of picking 2 j.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6 + 51. Suppose -83*l + 9141 = 1969 - 1958. What is the remainder when l is divided by v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1102833 >= -1102846?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -61.9971 + 62. Round v to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.9 - -11.1. Let j = 39 - 24. Let i = d - j. Sort 3, 3\/5, i in decreasing order.\nAnswer: 3, 3\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 145\/9570078 and -32\/63.\nAnswer: 9570078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-2*sqrt(432) - sqrt(3)) + 0 + sqrt(108).\nAnswer: -19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3033412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 433.4 - 414. Let l = n - 19.7. Let s be 9\/68 - (-2)\/(-8). What is the third smallest value in 5, l, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.2 and 0.2801133771?\nAnswer: 0.0801133771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -0*s + 2*s. Let c be (s\/15)\/((-6)\/40). Suppose 5*d + 3*b - 26 = 0, -d - 5*b - c = -22. Calculate the greatest common divisor of 6 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 5*l**2 + 3*l + 2. Suppose -18 = -2*t, 8*d + 138 = 12*d + 2*t. Calculate the remainder when d is divided by s(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26\/(-65)*-4*18\/576.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 29220 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -6*(4 - 4 - 8\/(-6)). Put z, -280, -3 in increasing order.\nAnswer: -280, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -63 + 119. Let d be 3\/(-9) + 40\/3. Let n = -6 + d. What is the greatest common divisor of n and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -3*i**5\/2 - 63*i**4\/2 + 393*i**3 - 360*i**2 = 0.\nAnswer: -30, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -2*d**3 + 1640*d**2 - 4496*d - 331708. Determine c(817).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + 20 + 4 - (1 - -23)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes after 10:17 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 18\/121 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -2*f**2 + f + 1. Let y be k(-1). Let m = 1 - y. Let t(u) = u**2 - 6*u - 4 + 0 + 3 + m*u. Determine t(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -113*y + 4 + 5*y**2 + y**2 + 0*y**2 + 112*y - 2*y**2 to the form r*y**2 + h + x*y and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 8\/(-6)*(-6)\/2. Let g(y) = 2*y + 3. Let r be g(-3). Let v(k) = -k**3 - 7*k**2 + 5. Let u be v(-7). Sort u, r, n.\nAnswer: r, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 13 = -7. Let d be 0 + 4\/(1 + 1). Suppose -3*c = 3*l - 5*l - 5, 3*l = d*c - 5. Is c >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 + 12. Suppose -42 = p*g - 272. List the prime factors of g.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2001120101100 - -1221?\nAnswer: 2001120110021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.027531795 rounded to four dps?\nAnswer: 0.0275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 48427681259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the third derivative of 0*z**4 + 0 - 29\/6*z**3 + 7\/30*z**5 + 0*z - 32*z**2. What is the derivative of g(t) wrt t?\nAnswer: 28*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1788)\/(-9536) - 966\/32\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 114021311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-1*10)\/(-9*(-22)\/(-198))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 666562 (base 7) to base 14.\nAnswer: 30bd9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 149\/73423272 and 27\/4445.\nAnswer: 2569814520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**2 - 2*t + 5. Let f be x(5). Let y(b) = b**2 - 2*b - 1. Let j be y(3). Suppose 3*p - 8 + 1 = -j*i, i + 13 = 4*p. Solve 0 = -v - p*v + f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(156) + (sqrt(156) - sqrt(156)*-1*-5) + sqrt(156))\/sqrt(12).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1011000111111110 (base 2) in base 14?\nAnswer: -1286a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 3*n**3 + 44*n**2 + n + 232. What is the thousands digit of q(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d**4 - 3124*d**3 - 201852*d**2 - 3031676*d + 3236648 = 0. What is d?\nAnswer: -31, 1, 842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are 330 and 992\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:27 PM and 4:12 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-342)\/(-45) - 8)\/(1\/(-350)) + -3. Calculate the highest common divisor of 9727 and m.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20272 + 21168 = 64*h for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/6*(-2 + -1). Find m such that -2*m**l + 8\/3*m + 1\/3*m**4 + 0*m**3 - 1 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 3*b**2 + 5*b - 5. Let c(g) = g**3 + g - 1. Let u(z) = 5*c(z) - n(z). What is the third derivative of u(s) wrt s?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12016457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/(-84)*(-20)\/(-5)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 + -3. What is the lowest common multiple of y and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 44 + -102 + 46 - -46?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2240 and 8578640?\nAnswer: 34314560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -3*t**2 + 67*t - 361. Give z(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2717905591 take away 0.09186?\nAnswer: -0.3636505591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 103867821 divided by -3.\nAnswer: -34622607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (c**2 + c**2 - 4*c**2)*(-799 + 2406 - 804 + 3086*c - 803) in the form k + g*c + b*c**3 + f*c**2 and give b.\nAnswer: -6172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mqqsqdm. What is prob of picking 1 d, 1 s, 1 q, and 1 m?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 392426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 2*m**2 - 17*m - 8. Let l be c(9). Calculate the remainder when (l - 2)\/(4 + 625\/(-155)) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5\/1410)\/(1481\/5924)\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -280 + 282. Solve -1 = j*a - 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*k**2 - 8*k**2 + 369 + 2*k - 369 to x*k**2 + i*k + g and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.2 - 0.1. Let d = -0.17 + -0.58. Let i = d - -0.25. Which is the biggest value?  (a) -3  (b) l  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -181\/17550 and -83\/12285?\nAnswer: 122850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3503781 = -20*j + 8580219. Round j to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 393.2 + -44?\nAnswer: 349.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*t = -4*t - 5*s, 4*s = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 14 - 18. Suppose 3*w + 7 = 2*f - 7, 2*f - g = 4*w. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6653590498 to the nearest one hundred thousand.\nAnswer: 6653600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 - (46 + (-178 - -58))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (123\/(-4))\/(2\/(-8)). Let w be (-24)\/36 - 11\/(-3). Suppose -w*z + b = 9. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 671 (base 8) to base 3.\nAnswer: 121100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4 - 174\/42 - (-2301)\/4641\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78828927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + g + 2*s + 77 = 0, 4*s = -g - 39. Let d = -3 - g. Calculate the smallest common multiple of 2 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -7*l - l + 10*l. Let z be (2\/(-6))\/(-4 - (-1365)\/342). Let p(r) = -22*r + 10*r - 14*r - z*r. Determine p(w(d)).\nAnswer: -128*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -30*x - 1004 - 16. Which is smaller: x or -26?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from geogmgogd. Give prob of picking 1 g and 1 m.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2038256671.\nAnswer: 11, 185296061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m + 14 - 20 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 283.3658 tonnes?\nAnswer: 283365800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 3*a + 3. Let c = 10 + -35. Let g = 32 + c. Let b(j) = 5*j + 5. Give g*m(w) - 4*b(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z\/((z**(-9)\/z)\/z*z*z*z)*z\/(z*z**(5\/6)) assuming z is positive.\nAnswer: z**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.07 + 0.55. What is a rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -7*v + 3. Let m(i) = i**3 + 5*i**2 - 6*i. Let l(a) = a**2 - a - 1. Let q(g) = v*m(g) - 6*l(g). Let k be (0\/(-2))\/(-2 + 4). What is q(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*d*g**5 + 34*d + 16*g**5 - 3*g**4 - 10*g**2 - 2 wrt g.\nAnswer: -120*d*g**2 + 960*g**2 - 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 4*s - 6776980, -925*b + 920*b = -4*s + 33884980. Round b to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the third derivative of -3\/4*g**4 - 22*g**2 + 1\/60*g**5 + 0*g + 3*g**3 + 0. Let d be c(17). Solve -v - d + 0 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -62, -191, -330, -485, -662?\n\"Answer: -b**3 + b**2 - 125*b + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (12 + -6 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -308 = 41*q + 16*q + 148 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:24 AM and 8:01 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4216 + 4598.2. Round c to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.135 + -0.1349763. What is a rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 4, h: 3, q: 4}. What is prob of picking 1 x and 2 q?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 247 and 15960?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -28*n + 8. Let a(j) = j**2 + 28*j - 5. Calculate -3*a(q) - 2*b(q).\nAnswer: -3*q**2 - 28*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q**2 + 3855*q = 0. Calculate q.\nAnswer: 0, 1285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (232\/406)\/((-6)\/7). Which is the third smallest value?  (a) 0.2  (b) y  (c) -133\/6  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3418091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v + 1. Let q be g(-5). Solve b + 2 = q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.3 and 9?\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the third derivative of l**8\/1008 - l**7\/315 - 31*l**6\/360 - 7*l**5\/45 - 619*l**2. Factor j(p).\nAnswer: p**2*(p - 7)*(p + 1)*(p + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**2 + y + 3. Let u(s) = s**2 + 9*s + 3. Let g be u(-9). Let f be g\/(-5) - 9\/(-15). What is a(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000145077 rounded to seven decimal places?\nAnswer: -0.0000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 2874*j**2 - 271*j + 114*j + 75*j + 82*j in the form o*j**2 + v + s*j and give o.\nAnswer: 2874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 22232495149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3679 + -2022. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 5\/16, 0.2, -2\/9?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3189423859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 423 = -4*b, 0*b - 3*l - 533 = -5*b. Let m = b + -62. Let u be (m\/(-33))\/(2\/(-6)). Calculate the greatest common divisor of u and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5.51?  (a) 7\/4  (b) 1\/7  (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2609 + 3*c**2 + 2*c**2 - 6*c**2 + 60054*c - 59371*c wrt c?\nAnswer: -2*c + 683","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((7 - 7 - 4*r)*(-1 + 3 - 3) + (0 + 1 - 3)*(-r - 3*r + 2*r))*(3*r**2 - 3*r**2 + 21*r**2).\nAnswer: 168*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2801 - -8404\/3. Which is the closest to 2\/3?  (a) x  (b) 1\/5  (c) 7  (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1*7 + (-60)\/15. Let j(m) = -m**3 + 2*m**2 + 1. Let d be j(f). Let r be (130\/d)\/((-2)\/8). Calculate the greatest common divisor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -55056065 or -55056057?\nAnswer: -55056057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2839*z + 55015 + 50028 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**3 + 19*t**2 + 19*t + 29. Let x be k(20). Suppose x*v + 354400 = 13*v. What is v rounded to the nearest one thousand?\nAnswer: 89000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4624*l - 4639*l + 60 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13 - -17. Suppose 63 = 5*k - 2*r, g*k - 2*r + 15 = 5*k. Let u(m) = -m**3 + 6*m**2 + m. Calculate the remainder when k is divided by u(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/2125956 and -99\/506180?\nAnswer: 10629780","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**3 + 6*o**2 + 6*o + 1. Let v be b(-5). Sort v, 3, 5 in ascending order.\nAnswer: v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 55 + -35. What is the tens digit of -8*2*(-15)\/i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bdbvvbvdvbbbbbvvb. Give prob of picking 1 d and 3 b.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 945 and 585.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**2 + 7*b + 4. Let k(t) = -t + 3. Let d be k(-2). Suppose q - d*q + 12 = 0. Suppose 4*p + 14 = -2*i, 7*p = 2*p - q*i - 16. Give u(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4772.289l to millilitres.\nAnswer: 4772289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from {g: 2, n: 3, v: 1, f: 13, k: 1}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 43.49553096 to the nearest integer.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*a - 112 = -5*a, -5*z + 2*a = 4 + 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1123, 1122, 1121?\nAnswer: 1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.974 + 1.37. What is u rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -50 - -55. Suppose 4*g + t = 1001, -c*g + 9*g - t - 1007 = 0. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 236 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 - -2 - (-3)\/4. Let l(q) = -826*q - 28908. Let p be l(-35). Factor -1\/4*n**3 + 5\/4*n - 1\/4*n**p - h.\nAnswer: -(n - 1)**2*(n + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -10*t + 142. Give k(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 198 - 82. Let x = -121 + v. What is the third biggest value in x, 2, 2\/17?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 16 + -1. Suppose -w = -12*o + 9*o. Determine q, given that -1 - o*q**3 + 4*q**3 - 3*q**2 + 3 - q**4 + 2*q**4 + q = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 235, 466, 703, 952, 1219?\nAnswer: 1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -3*z - 40. Let w be (-52)\/z + 9\/12. Suppose w*b + b = -4*m + 3, -4*b - 14 = -5*m. Let l(y) = -y**2 + y. Determine l(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10029 + -10122.85. Round c to 0 decimal places.\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3482 + 3502. Let f = -808 + 1143. Calculate the remainder when f is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/11 in -4, -3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, t: 7, d: 1}. What is prob of picking 3 t and 1 d?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 38604 - 3.\nAnswer: 38601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*f - 20 = -0*w + 4*w + 66, 0 = -3*w - 646*f + 655*f - 123 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 26 - 12. What is the lowest common multiple of -2*(-13)\/2*2 and (24\/p)\/(27\/126)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -41349, -41377, -41405, -41433?\nAnswer: -41461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**2 - 12*f + 4. Let m be w(-13). Let r be 10\/4 - m\/(-18). Suppose -r*b + 10 + 22 = 0. What is the smallest common multiple of 14 and b?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes before 12:01 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes after 2:32 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -4*x - 1. Let y(v) = 2*v**2 - 625*v - 5075. Let h(j) = -6*t(j) - y(j). Find the first derivative of h(l) wrt l.\nAnswer: -4*l + 649","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 176 a factor of 1904496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -8 divided by 1029\nAnswer: -8\/1029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 5766687 divided by 640743?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wcbpwwbwawwpwq. What is prob of picking 1 w and 1 b?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -4*p. Let m(v) = 3*v**2 - 23*v + 1. Let k be 84\/48 + (-9)\/12. Let x(i) = k*m(i) - 5*z(i). Calculate x(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tu when two letters picked without replacement from utyzztc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2*s**2 + 1)*(-276*s**3 + 6*s - 127*s**3 - 6*s).\nAnswer: -806*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 11 + -8 + 0 + 106\/(-34). Is -1 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 117*f + 62 = 119*f. Calculate the greatest common factor of 589 and f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 + -7. What is the third derivative of 3*t**s + 2*t**2 - 3*t**3 + 0*t**2 + 4*t**3 wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 3*q - 4 = 4*q, -16 = v + 4*q. Suppose h = 5*c - 0*c + 45, 0 = 2*h - 3*c - 69. Let f = v + h. What is the highest common divisor of 20 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((-1*sqrt(1088) + -5 - sqrt(1088)) + sqrt(1088))**2 + (-3*(-1 + sqrt(1088)) - (1 + (sqrt(1088)*-2 + sqrt(1088) - sqrt(1088))))**2)*-1 + 2.\nAnswer: 272*sqrt(17) + 2249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 plus -196.87?\nAnswer: -201.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*g + 32*g + 33*g + 32*g - 197*g + 28*g + 38*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 144569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2*(7\/(-2))\/7. Let p(z) be the second derivative of -z**3\/6 + z**2\/2 - z. Let v be p(x). Solve 4*g = 2*f + 2, -v*f = 4*g - 0 + 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*z = 18, -5*a + 541 = 4*z + 504 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8162 - -20176. List the prime factors of p.\nAnswer: 2, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*q - 13*q = 0. Let g be 2 + -3 + 7\/9. Which is greater: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 27*p + 156. Let a(y) = 3*y**2. What is x(a(r))?\nAnswer: 81*r**2 + 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**(-2)\/p)\/p)\/p**(1\/4))\/((p**(2\/21)*p*p*p)\/(p\/p**(-4\/3))) assuming p is positive.\nAnswer: p**(-421\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 272, -2291.\nAnswer: -2291, -8, 272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.487667 weeks in hours?\nAnswer: 249.928056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 812*a - 820*a = 88 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 29.91 - 30. Let v = h - -0.19. Sort v, 3, -3 in ascending order.\nAnswer: -3, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 74\/(-14) - 62\/(-217)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 4676609, 4676550, 4676493, 4676438, 4676385, 4676334?\n\"Answer: k**2 - 62*k + 4676670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 930 - 931. What is the nearest to -1 in w, 4\/5, 18?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10 - -4. Let m be (-15)\/(-5) + -4 + 1*p. What is the highest common factor of 39 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes before 5:27 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**3 - 6*o**2 + 6*o + 8. Let w be ((-21)\/(-3))\/((-2)\/(1 + 1)). Give x(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:09 PM and 12:18 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 137*c**3 + 12*c**3 + 483*c**3 - 73*c**3.\nAnswer: 559*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l + 1740 = 628. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7824 rounded to the nearest 100?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -24, -55, -86, -117?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q - 1. Let u be l(2). Suppose 0*a - 15 = -u*a. Suppose -a*h + 97 = -83. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(500) + 0 + sqrt(500) - (-1 + sqrt(500) + 0))**2 - (-5*sqrt(180)\/sqrt(4))\/(sqrt(576) - (sqrt(576) + (2*sqrt(576) - sqrt(576)))).\nAnswer: -325*sqrt(5)\/8 + 2001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-62)\/(-6) - (-3)\/(-9). Suppose -4*p = -n - 10. Suppose 5*w = -m + p*m - 61, m = -w + 13. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10442*q - 1462846 = -4485*q for q.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -11*h. Let o(z) be the first derivative of z**3\/3 - 11. What is o(y(c))?\nAnswer: 121*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = r - 15 - 11, -32 = -r - 4*w. Let s be 4 + (2 + 6)\/(-4)*-52. Suppose 9*a - 945 = -s. Calculate the remainder when a is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 47512 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*y**3 - 694657100*y**2 - 24127424329020500*y.\nAnswer: -5*y*(y + 69465710)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (7*(-144)\/630)\/(14\/(-35))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*x + 6*x + 18 = 0. Let a(p) = -x*p - 6*p - 6*p. Let r(f) = 2*f**2. What is r(a(q))?\nAnswer: 882*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 252 + -145. Let s = -107.049 + b. Round s to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.54 - -0.46. Which is smaller: -0.075 or p?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 39693*z**2 - 48638*z wrt z.\nAnswer: 79386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 628968.6l in millilitres?\nAnswer: 628968600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzhc when four letters picked without replacement from zzzhzzzzcczczzzz.\nAnswer: 33\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/18)\/((-12)\/32)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 8d + -5?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -773700 by 154740.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 + 16. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 104 = 29. Solve -u - 4*u = d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 3 + 5. Let z(p) = y*p + p - p. Let o(j) be the second derivative of j**3\/3 - 4*j. What is z(o(f))?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 208275.95 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 5*z - 30 = -0*h, z = -5*h - 24. Let c(x) = -x**3 + 4*x**2 - 3*x. Let n be c(2). Let s be h\/(-2)*n + -2. Solve -j = s*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**2 + l + 1. Let z(y) = 53*y + 633. Let w be z(-12). Let x(s) = -9*s**2 - s - 1. Determine w*x(m) - 3*r(m).\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 35 + -35. Suppose u - 17 = -5*v, 0 = -2*v - x*v + 4. Suppose -u*y + 574 = -84. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -67 + 73, 0 = 4*j - i + 33. Let o(y) = -13*y**2 + 2*y - 4. Let b(p) = -27*p**2 + 5*p - 9. Determine j*o(w) + 4*b(w).\nAnswer: 9*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -104 + (-14 - -103) - (0 - -2 - 116)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 98450088 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.1653 or 0.12?\nAnswer: 0.1653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -31?  (a) -1\/3  (b) 4  (c) -2060  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -38*o + 193. What is the hundreds digit of f(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.016 + 12.016. Let h = c - -15. Which is smaller: -0.1 or h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12 + 10. List the prime factors of -3 + 1 + q + 53.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 374, 372, 370, 368, 366?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 484 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 26, -272, -5.\nAnswer: -272, -5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -5*j - 35, 0 = -a + 5*j + 9 + 2. Suppose -v = -a*v - 4*y - 9, -3*y - 3 = 3*v. Put -11, -3, v in decreasing order.\nAnswer: -3, v, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52612*n = -52701*n + 445 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15939\/2 - -7970. Let n(b) be the third derivative of 0 + 18*b**2 - 1\/15*b**5 - r*b**3 + 13\/24*b**4 + 0*b. Determine f, given that n(f) = 0.\nAnswer: 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79333397.\nAnswer: 11, 13, 554779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -99*c**2*m**3 + 6731*c**2*m**2 - 13*c*m**5 wrt m?\nAnswer: -594*c**2 - 780*c*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 340*n**2 + 368*n**2 + 3*n**4 + 675*n - 3887*n - 539*n**2 wrt n.\nAnswer: 36*n**2 + 338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -61 - -60.877. Let v = -194.977 - -195. Let o = k + v. Which is the nearest to 0?  (a) o  (b) -2  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 90302762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29*(28\/(-84))\/(((-16)\/6)\/4).\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**2 - 10*y - 13. Let a be s(-7). Let d be a + (0\/1 - 2). Solve -d = 2*z + 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 470 a factor of 235824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 154*m - 2. Let d be a(1). Suppose -d = -3*g + 55. Is g bigger than 69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 2*u**3 - 87*u**2 + 250*u + 116. What is l(40)?\nAnswer: -1084","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -95, 41, 235, 487, 797, 1165, 1591?\nAnswer: 2075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -69*q - 21*q + 106*q - 51*q - 20*q.\nAnswer: -55*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 5839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, v: 1, h: 1, o: 1, j: 1}. Give prob of picking 1 o and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 708 divide 1945894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 429*g + 1570. Let l(r) = 107*r + 393. Let z(n) = -2*j(n) + 9*l(n). Differentiate z(x) wrt x.\nAnswer: 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 t when two letters picked without replacement from {w: 2, d: 2, t: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 83 - 50. 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 the nearest to 1\/7?  (a) -5  (b) 4  (c) -4\/31  (d) -77  (e) 2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**2 + 2. Let n = -8 - -5. Calculate the remainder when 19 is divided by f(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -3*j - 31, 2*j + 2*j = -n - 50. Let b = j - -16. Solve -b*q + 3*w = -0*w + 12, -q + 5*w - 12 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 19*i**2 - 1. Let n be w(1). Solve -4*h - n = -2*g, g - 6*g + 30 = -5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sgargsggsgbbgsrgsbs. What is prob of picking 1 b and 2 r?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4752807, 5, 2\/9?\nAnswer: -4752807","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -203 + 4004?\nAnswer: 3301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 2 = -4. Let c = u - -4. Is (-3)\/((-6)\/(-10))*c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3003 - 3003. Let p(o) = -4 + 0*o + o + 0*o. Let x be p(7). Solve -4*j + x*j = l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 924 divide 6305942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.99 less than 1647586062?\nAnswer: 1647586061.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -43c9bd (base 16) to base 7\nAnswer: -52522030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/8 - (22 + (-838)\/40). Which is the third smallest value?  (a) w  (b) 3  (c) -18\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -4*f**2 + 2*f + 3. Let h(l) = 26 - 43 - 5*l + 9*l**2 + 10. Give -14*c(m) - 6*h(m).\nAnswer: 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -24*k - 1. Let f(j) = -407*j - 17. Let x(z) = f(z) - 17*o(z). Let v(s) = -86*s**2 - 4*s. What is v(x(y))?\nAnswer: -86*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -9391, 3 in decreasing order.\nAnswer: 3, -5, -9391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zqqq when four letters picked without replacement from zzqzzqzzqzqqz.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-149*p**3 + 121*p**3 - 165*p**3)*(3 - 5 - 1) + 0*p**3 + 3*p**3 - 2*p**3)*(4*p**2 - p**2 - 5*p**2).\nAnswer: -1160*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 200234?\nAnswer: 2, 53, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 64272 (base 10) in base 6?\nAnswer: 1213320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the third derivative of 11*t**4\/24 + t**3 + 18*t**2 + 2. Let l(v) = 1. Determine 5*l(z) - n(z).\nAnswer: -11*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 4, r: 3, q: 4, o: 3}. Give prob of picking 1 o and 1 h.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 4*h + 4*f, 0*h = -4*h - 3*f + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**3 + a**2 - a - 1. Let o(t) = 30*t**3 + 12*t**2 - 12*t - 12. Determine o(q) - 12*p(q).\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-154)\/(-42))\/((-2)\/(-5748)*2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -3*f - 6. Suppose 88*n + 67 + 8 = 63*n. Let d(w) = 3*w + 6. Determine n*d(o) - 2*z(o).\nAnswer: -3*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the first derivative of -s**4 + 2*s**3\/3 + 5*s**2 + 4*s - 4708. Calculate z(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-315)\/(-180) - 2\/(-8). What is the first derivative of 58*m**2 - 76 + 62*m**2 - 42*m**y wrt m?\nAnswer: 156*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 5*p - 1 = -25, -3*p = 4*m + 16. Which is the smallest value?  (a) -5  (b) m  (c) -2\/17  (d) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-246 - 173 - f + 69)*((1 + 2 - 1)*(-5 + 5 - f) + (8 - 4 - 1)*(4 - 4 + 2*f)) in the form z*f**2 + l*f + h and give l.\nAnswer: -1400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(75*(-1)\/(-3))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 805*y - 21697. Determine t(27).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 21 + -30. Let s(r) = -r**2 + r + 1. Let u(g) = 5*g**2 - 15*g - 1. Let z(l) = 6*s(l) + u(l). List the prime factors of z(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -454, -444, -434, -424?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 2*l - 9 - 3*l - 4 + 15. Give v(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-8)\/(-14))\/(12\/42). Let j be (k + -2)*(3 - (-20)\/(-8)). Is -3\/20 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + (-301)\/(-315))\/(0 + 4\/(-80))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/14 + 4\/28. Solve m = 3*h - 7*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2 - 6) + 4 - -6) + (11 - -13).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 64936.29 minutes?\nAnswer: 3896177.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 45 + 9 + (-5 - (-6 + 7)) + 3 + 12?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -40*y**3 + 15*y**2 - 22*y + 8. Let l(w) = -13*w**3 + 5*w**2 - 8*w + 3. Give -11*l(f) + 4*x(f).\nAnswer: -17*f**3 + 5*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7771050 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from jgjjqqqrjgjg.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + 4, -o - 10 = -a - a. Let z be (-1 - (-8)\/a)*9. Suppose 5*t = 2*t - 15, -r = z*t + 18. Put 2, 4, r in increasing order.\nAnswer: r, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 557493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.12 and 0.33241.\nAnswer: -0.0398892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 207 or 203?\nAnswer: 203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**2 - 2. Let x(z) = -z**2 - 1. Let q(o) = -s(o) + 2*x(o). Let h = -13 - -15. Let m(f) = 3*f**2 + 4*f**h - 6*f**2. Calculate q(m(i)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3277 is divided by 538?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -5, -1\/3, 0.02, -0.89, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*y + 1176901 = -65755. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -209*a + 583*a - a**3 - 313 + 3*a**3 - 186*a - 188*a.\nAnswer: 2*a**3 - 313","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**3 - 19*t**2 + 5*t. Let c(n) = 4*n**3 - 66*n**2 + 16*n - 1. Let q(a) = -2*c(a) + 7*o(a). Let f(s) = -s**2 + 8*s - 9. Let x be f(7). Determine q(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/12 and (-548)\/24 - (-1 - -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 235215 divided by -78405?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -292.1 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 178956294.\nAnswer: 2, 3, 11, 2711459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 175338 - 0.8025\nAnswer: 175337.1975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**(-8\/5)*y*y)\/y)\/y**(-17))\/((y\/((y\/((y*y\/y**20)\/y))\/y))\/y*y\/(y**(-8)*y*y)) assuming y is positive.\nAnswer: y**(142\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3145411 (base 6) in base 2?\nAnswer: 100101101000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 7 - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2284, 3645, 5296, 7237, 9468, 11989, 14800?\n\"Answer: 145*i**2 + 926*i + 1213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 8*r**2 + 7*r - 7. Let d(f) = 4*f**2 + 7*f + 2. Let c(h) = -h**2 - 2*h - 1. Let k(o) = 3*c(o) + d(o). Determine -35*k(p) + 5*x(p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 39015003\/10 or 3901500?\nAnswer: 39015003\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 37479 - 22426. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 8*y - 6*y + 1 - 1 + 3 - 5*y**2. Let j be x(13). What is the tens digit of j\/(-84)*(-14)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**2 + 7*j - 4. Suppose 28 = -5*c + 3*s, -s - 12 = -3*c - 32. Let a = c + 14. What are the prime factors of m(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -127, -558, -1293, -2332, -3675?\n\"Answer: -152*m**2 + 25*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(19) + sqrt(152)\/(sqrt(8)*2) + sqrt(152)\/(sqrt(16)\/sqrt(2))*-1)**2.\nAnswer: -2*sqrt(19) + 35\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 12*(-14)\/2016*-9\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 7, e: 2}. Give prob of sequence be.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the first derivative of 3*y**5\/25 + 6*y**4\/5 - 17*y**3\/5 - 18*y**2 + 324*y\/5 - 248. Solve a(f) = 0.\nAnswer: -9, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.234 - -3.234. Which is bigger: u or -0.081?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 - (2 + 11 - (-12 - (-795)\/20)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5440 + 5252. Are k and -163 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v - 6. Let n be q(-5). Is 13 a factor of (-414)\/(-8) - n\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1\/9, -2\/63, -12?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 50792248 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - g + 2 = 3*j, -4*j + 10 = 3*g. What is the first derivative of 3*n**j + 1 + 1 - n + n wrt n?\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a millennium in decades?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (8 - 315\/27)\/((-3)\/9). What is the greatest common divisor of h and 407?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.003192336703 rounded to 7 decimal places?\nAnswer: -0.0031923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 16*y + 39 = -13*y, 0 = -g + y + 15. Is (3 - -1)\/g*15 + 445 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5438 + 261*f - 5438)*(-4*f**2 - 2*f**2 + 3*f**2) as j*f**3 + n + y*f + s*f**2 and give j.\nAnswer: -783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 1 - 26 = 0. Suppose 3*k - 30 = 4*v, -4 = 2*k + m*v - 1. What is the derivative of 2 - k + 82*y - 84*y + 0 wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 35228, 1.\nAnswer: -5, 1, 35228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -20. Let s(k) = -k - 16. Let w(p) = -4*a(p) + 5*s(p). Let c(t) = 62*t. Calculate w(c(f)).\nAnswer: -310*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**3 + 4*o**2 - o + 1. What is f(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -30, 186, 554, 1080, 1770, 2630, 3666, 4884?\n\"Answer: a**3 + 70*a**2 - a - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1433548803 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 237 = 168. Calculate the remainder when v is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 1, -0.4 in descending order.\nAnswer: 4, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -32.32 - -36. Let b = -6.74 + s. Let n = b - -0.06. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -3 + 0 - 4*s + 6*s. Let b be w(3). Suppose -632752 - 1077248 = -b*t. Round t to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*h - 3*h + 4*h + 17766 = 0. What is the greatest common factor of 1296 and h?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pg when two letters picked without replacement from {w: 1, r: 3, g: 1, z: 4, p: 4}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -2\/11, 1\/4, -0.4, 8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 - -1275206097.\nAnswer: 1275206096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 441*v - 5*v**2 - 441*v.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2688 = 4*s + t, -8*s + 4*t - 2688 = -12*s. Let u = s - 553. What is the smallest common multiple of u and 68?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 559 and 117.\nAnswer: 5031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 40 - 46. Let k = 6 + i. Which is bigger: -1\/14 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -25\/78056146?\nAnswer: -25\/78056146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -2*u - 40. Let k = u - -5. Calculate the remainder when 43 is divided by ((-5)\/(-2) - k)*2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-14)\/(-4) - 0)\/(122\/28060) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 172*t - 5981 - 727 = 0 for t.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2351808?\nAnswer: 2, 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3989 - -16043\/4. Find the common denominator of p and 4 + (-146)\/(-12) + -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x**3\/8 + 6573*x**2\/8 - 13155*x\/8 + 6579\/8 = 0. What is x?\nAnswer: -2193, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 55315 and 481.\nAnswer: 55315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*n**3 - 10*n**3 - 4*n**3 + 14*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**3 - 21*p**2 - 22*p + 3. Let i be v(22). Suppose -i*n = 3*n - 1218. Suppose 21 + n = 4*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -30 divided by -847159\nAnswer: 30\/847159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (412 + 100 + 58)*(-1 - c - c + 0*c).\nAnswer: -1140*c - 570","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4693 + 101. What is the highest common factor of t and 306?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1402 is divided by 290?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -92217 divided by -177.\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 8*o**2 + 2*o**2 - 6 + 32*o**4 - o - 11*o**2 in the form k + t*o + s*o**2 + x*o**4 + z*o**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/11?  (a) -14  (b) -4  (c) 4  (d) -3\/2  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 - 7. Let u = 2 + t. Sort 0.3, u, 0.4 in descending order.\nAnswer: u, 0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 96*l**3*q**2 - 7*l**2*q**2 + 2*l**2 - 2*l*q - 89*q**2 wrt l?\nAnswer: 576*l*q**2 - 14*q**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u + 31. Let z be v(-23). Let x be 6\/24 - (-126)\/z. Calculate the highest common factor of 32 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) 1  (c) -682\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 105394, 104964, 104548, 104152, 103782, 103444?\nAnswer: 103144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*p - 254 = -278 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/(-132)*3978\/(-200). Let y = k - -4\/275. Calculate the common denominator of (101\/42)\/((-2)\/(-6)) and y.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 3*t + 2. Let b be (-15)\/(-10)*(-2 + 4). Let a(q) = 2*q + 1. Let j(x) = b*r(x) - 5*a(x). Calculate j(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 35, 3\/29, -3, 3, -8.4?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46533 + 5550 = -19*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -22 - -40. Let v = -14 + u. Put -0.2, v, -5 in ascending order.\nAnswer: -5, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.07 * 0.378603\nAnswer: 0.02650221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14*l**2 + 60*l.\nAnswer: -2*l*(7*l - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = 2*w - 20. Let f(r) = 11*r**2 - r + 6. Let x(z) = -3 - 10*z**2 + z - 6 + 4. Let o(b) = w*f(b) + 6*x(b). Find the second derivative of o(i) wrt i.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-2)\/(-1 - (-41 + -14)) and 2 - 112\/60 - 317\/(-135)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1e7b212 - 0?\nAnswer: 1e7b212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.1, -2, 264, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 91.66281 rounded to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 107193915 by -16353.\nAnswer: -6555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (210\/45)\/(13\/(-234)*3)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2548\/3 + 13547\/15. Let o = -54 + h. Which is the biggest value?  (a) -3  (b) 3  (c) 4  (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6830 is divided by 207?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 15 = -3*z, 3*a - 49*z + 57*z - 39 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0\/((1 + 0)*2). Suppose -v + 6 = -s, 2*v + 5*s + 10 - 1 = q. Which is the third biggest value?  (a) -2\/3  (b) -0.3  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l**3 + 298*l**2 - 21900*l - 45000 = 0. What is l?\nAnswer: -2, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/89?  (a) 151  (b) -1\/2  (c) -118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.98 + -0.02. Which is the closest to 0.2?  (a) -1  (b) u  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 90*h - 90*h + 206*h to q + s*h and give s.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13234 - 3784. Is 65 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 628*o - 550. What is the thousands digit of y(24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the third derivative of v**6\/120 + 13*v**5\/60 + v**4\/2 + 5*v**3\/6 + 6*v**2. What is the units digit of z(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes after 6:39 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -44*g**2*n**2*o + 17*g**2*n*o + 31*g**2*n*r - 4*g*n**2*o*r + g*r - 19*n**2*o - 4*n**2*r + n + 8 wrt g?\nAnswer: -88*n**2*o + 34*n*o + 62*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is q in 86*q**4\/9 - 5416*q**3\/9 + 24898*q**2\/3 + 173740*q\/9 + 4000\/9 = 0?\nAnswer: -2, -1\/43, 25, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -115, -112, -109, -106, -103, -100?\n\"Answer: 3*o - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6063256561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and -0.51.\nAnswer: 0.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q - 55*q**2 + 29*q**2 + 25*q**2. Suppose 4 = 5*w + 9. Determine l(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000353633 rounded to 7 dps?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*k + 150 = -9*k - 179. Let m be ((-2)\/(-3))\/(10\/105). Calculate the greatest common divisor of k and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 51824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 9*u**4 + 66*u**3 + 108*u**2 - 66*u - 117 = 0?\nAnswer: -13\/3, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 1\/6  (b) 6061\/6  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -1210*s - 19. Let d(a) = 404*a + 7. What is -8*d(w) - 3*p(w)?\nAnswer: 398*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 10 + 4 + 8*l - 7*l. Give f(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.6 - -1.6. Let f be ((-4)\/(-2))\/22*(-8 - -10). Sort 4, f, g in increasing order.\nAnswer: f, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 - 12543002142?\nAnswer: -12543002151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**2 + 16*l - 15*l - l**2 + 1. Calculate q(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4365 - -4365.3. Which is the biggest value?  (a) 103  (b) f  (c) 0.1  (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 + 6 - 18)*(-3*c + 6*c - 9*c) + c - 2*c + 2*c + (0 + 0 - 1)*(-2*c - c + c).\nAnswer: 153*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((566478\/55)\/9)\/(2\/(-20)). Suppose n + 0*m - 21445 = -m, -5*m - 85771 = -4*n. Let o = n + s. Round o to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 168.18 times -42.6?\nAnswer: -7164.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-9))\/(8\/48)*(-48)\/992?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -87*j + 4. Let v(k) = 44*k - 2. Let x(u) = -3*i(u) - 5*v(u). List the prime factors of x(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - 4*z + 4. Let t = -977\/5 - -195. Let f = -322\/415 - 2\/83. Which is the nearest to t?  (a) 3  (b) f  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 2*f - 61 = 0, f + 5 = 2*f. Suppose 78*x - t*x = 63. Calculate the remainder when 17 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -151 = -21*l - 25 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -3*v**3 + 39*v**2 - v + 14. Let p be c(13). Solve 3 - p = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add together 19.4 and -1.2.\nAnswer: 18.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, y: 3, t: 4}. Give prob of sequence ttyt.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = 2*y + 2*u - 36, 154 = 4*y + u. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*3*6 + (-25 - (-528)\/33)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 473593 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 5779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that t**3\/8 + 325*t**2\/8 + 1313*t\/2 + 616 = 0.\nAnswer: -308, -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**3 - 8*f**2 + 2*f - 17. Let h be s(8). Which is the closest to h?  (a) -40  (b) -1  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 246\/(-16) + 390\/104*9\/90?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -55, -471, -1589, -3757, -7323, -12635?\n\"Answer: -58*n**3 - 3*n**2 - n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.248882275 to 2 dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5883991695 to the nearest integer?\nAnswer: 1805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39 = 13*q - 26 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.3636507 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times -18315\nAnswer: 9157.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 160427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 - 6. Let m = -1 - a. Let n(o) = m*o**2 - 2*o**2 + o**2. Let k(q) = -2*q**2. Give n(k(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 177*j**3 + 2*j**2 + 5*j + 2 - 176*j**3 - 3*j. Determine h(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 80406*p**3 + 838*p**2 - 826.\nAnswer: 482436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 155496 - 155510.0167. Let x = -0.0167 - z. What is the closest to -2\/13 in 0, 0.5, x, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 58537.7 - 81932. Let u = -23403.19927 - z. Let t = -8.9 - u. What is t rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s - 2*c + 18 = 0, -4*c + 10 = s + 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4573*w - w**2 + 63*w**3 - 4575*w - 262*w**3 to u*w**2 + k*w**3 + x*w + z and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(300)*-3 + sqrt(3) + -2)*-5)**2.\nAnswer: 2900*sqrt(3) + 63175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*b = 19*b - 31*b - 210590. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5712 + 27?\nAnswer: 5739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1811555\/32 - -56662. Let p = c - 51. Do p and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.331 and 64944 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11)\/(-44)*(-826)\/236.\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 1)\/((91\/4)\/(-7))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(((t*t*t*t**7)\/t)\/t)*t*(t\/(t**(-2\/3)*t))\/t*t)\/((((t\/(t*t**(-1\/3)*t))\/t)\/t)\/t**(2\/13)))**(-44) assuming t is positive.\nAnswer: t**(4312\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-48)\/(-72)*(-17)\/3094*-7?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes before 5:46 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 8*a**3 - 14*a**2 + 14*a - 3. Let u(w) = -3*w - 1. Let h be u(-2). Let r(o) = o**3 - o**2 + o. Let k(l) = h*r(l) - v(l). Factor k(z).\nAnswer: -3*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 35a + 8b5?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (((-70)\/4)\/35)\/(((-1)\/(-4))\/(378\/(-36)))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyyyoyotttyoy. What is prob of sequence ooyt?\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*(j**(-2\/15)\/j)\/j))\/(j\/j**(-3)))**(-2\/51)*((j**(-1\/4)\/j)**(1\/33))**8 assuming j is positive.\nAnswer: j**(-1934\/8415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*c + 84*i - 162*i = -83*i + 86, 3*i - 6 = -c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**3 + 3*v - 3. Suppose -4*w + 7 = -9. Let c be 6\/12 + 6\/w. What is x(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2*((-1672)\/132)\/(4\/(-3)). What is the second smallest value in 17, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddfffddddddd. Give prob of sequence ddfd.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 178.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -7*a**2 - 551*a + 2. Let g(s) = 2*s**2. Calculate b(g(w)).\nAnswer: -28*w**4 - 1102*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 534*j**3 - 14*j + 21. Is x(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6811*h**2 + 1395*h - 19175129 wrt h.\nAnswer: -13622*h + 1395","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 25934, 51569, 76894, 101903, 126590, 150949?\n\"Answer: -m**3 - 149*m**2 + 26089*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.1, 1\/5, 1\/12?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17)*-1*-5)**2 + sqrt(17) + ((sqrt(187)*-2)\/sqrt(11))**2.\nAnswer: sqrt(17) + 493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3358 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:20 AM and 3:09 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*h - 3*h = 10. Suppose 2*x = 6, -h*x = -3*y + 216 + 42. Calculate the highest common factor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-990)\/(-360)*1*4. Suppose k*u - 2499 = 7665. List the prime factors of u.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*i = 2*z - 34, 0 = 5*i + 2*z + 45 + 84 - 189 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*g + 5*k, 5*k - 7*k + 40 = 5*g. Solve -4*w - 20*z + 16*z = 12, -2*w - g = 5*z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) 4\/7  (c) 18.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 + 12. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 285220319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1001\/8 - -124. Let g(y) = y**2 - 4*y - 1. Let v be g(4). Is v less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 4*l = 0. Let c(r) = r + 1 + 2 + l - 4. Determine c(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-1\/4))**(-5\/9)*o*o*(o*o**(3\/5))\/o*o**(-4\/3)*o assuming o is positive.\nAnswer: o**(433\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 79.26774 micrometers?\nAnswer: 0.007926774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (12\/9 + -3)\/((-2)\/6). Suppose 3 + v = 4*c. Solve -c*q - 13 = -3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-624)\/403)\/24 - (-182)\/(-62). Let k(r) = r + 1. Let u(w) = -7*w - 5. Calculate j*k(f) - u(f).\nAnswer: 4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from qhreaam.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.098836 to 4 decimal places.\nAnswer: 0.0988","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 189830760 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 87, 5, 1, 4.\nAnswer: 1, 4, 5, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2131360702 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i. Suppose 12 - 28 = -4*r. Suppose 12 = r*x - 2*x. Let o(c) = -c + 4. Let y be o(5). Let b(j) = -2*j**3 - j**2 - 6*j. Calculate x*t(n) + y*b(n).\nAnswer: 2*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 46 + -38 - (-2 + 10 - -4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 122345650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-689300)\/6780*3\/5\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the third derivative of -4*b**2 - 1\/50*b**7 + 0*b**3 + 0 + 0*b - 1\/10*b**4 - 1\/5*b**5 - 23\/200*b**6. Let x(o) = 0. What is o?\nAnswer: -2, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((0 + sqrt(98))*-1 - (4 + -3 + sqrt(98)))**2.\nAnswer: -393 - 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 0.1  (b) 2  (c) 6310  (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -92 - -97. Which is the third smallest value?  (a) -0.5  (b) l  (c) -1  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 30 - 26. Let o(u) = 2*u - 26. Let m be o(13). Solve m = -4*n + s - 8, -w*n - 2*s = -n - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 - 4. Suppose -u*g - g = -2*o + 2020, 1223 = -3*g - o. Let p = g - -617. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (-2 + -3 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13 - 123\/(-9))*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -15 - 1989416039128.\nAnswer: -1989416039143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/(-20))\/(-3) + (-9)\/18?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 850894563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2838 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -102.634 + 102. Round i to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (-21 - -14) - -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6052*l**2 - 2*l + 6062*l**2 - 10 + 4*l**3 - 2*l.\nAnswer: 2*(l - 1)*(l + 1)*(2*l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -108, -170, -232, -294, -356, -418?\n\"Answer: -62*d - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the first derivative of 11\/3*g**3 - 2\/5*g**5 + 0*g**4 - 42 - 49*g - 1\/2*g**2. What is the second derivative of v(c) wrt c?\nAnswer: -24*c**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -344.3 and -46950?\nAnswer: 16164885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = 3*d + 3*g - g, -4*d + 24 = -2*g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 4013373, 3, 0, 5, 2 in ascending order.\nAnswer: 0, 2, 3, 5, 4013373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jhj when three letters picked without replacement from njhhhhhnjhnhjhhj.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 + -4. Solve -i*o - o = -8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the second derivative of i**5\/30 + 3*i**2 - 4*i. Let f(r) be the first derivative of t(r). Let u(s) = 4*s**2. Give f(u(b)).\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 4) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*n**2 - 5*n**2 + 4*n**3 - 4*n**3 + 14*n**3 - n**2.\nAnswer: 14*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/i**(3\/5)*i*i)\/(i*i**(2\/5)))\/(i**(3\/7)*i**(1\/7)) assuming i is positive.\nAnswer: i**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 2*t + 1886656, 4*p + 0*t + 2*t + 7546648 = 0. Let a = p - -576664. What is a rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13078\/1255 at most 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p - 3*p + 3*p + (2 - 4 + 1)*(0 + 0 + p) + (-2 + 0 + 4)*(0*p + 0*p - p))*(-118 + 7 - 42).\nAnswer: 765*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -127.5259 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 23*k**2 - 15*k - 10. Let m be u(3). Calculate the greatest common divisor of m and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-1)\/15)\/((-22)\/(-55)))\/(72\/324).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1851*y**2 + 86419 - 86419 - 1849*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 4\/3  (b) -5  (c) 0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 80 in 3.34, -0.5, 1\/4, 0.04?\nAnswer: 3.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/(2 - (44\/8 - 4)). Suppose -y = c - 2*y - 7, c - x*y - 10 = 0. Solve -v + 20 = -5*d + v, -c*d - 16 = 3*v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 25 = 3*b, -3*r - 6 + 0 = 2*b. Let w(f) = -f**3 + f**2 + 4*f + 1. Calculate w(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 575 and 736?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-2\/27)\/h)\/h)**2\/((h**(17\/5)*h)\/(h\/(((h\/h**(-28))\/h)\/h*h)*h)) assuming h is positive.\nAnswer: h**(-4664\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 2*l**2 + 29*l - 8. What is c(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 36 = y, 0 = 5*y + 4*d - 28 - 7. Calculate the remainder when y is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 60745, 120103, 179461, 238819, 298177, 357535?\n\"Answer: 59358*x + 1387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 j when two letters picked without replacement from jmfjbqffqfqfjffmfqmq.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -844 + 828. List the prime factors of f\/44*(-42152)\/16.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*z*z\/z**(-1)))**(13\/8)\/(z**(-1\/2))**(16\/3) assuming z is positive.\nAnswer: z**(-53\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.01 or -87018?\nAnswer: -87018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*b - 46*b + 150*b - 41*b - 1974 - 41*b.\nAnswer: -b - 1974","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3240?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -357, -1410, -3159, -5604, -8745?\n\"Answer: -348*h**2 - 9*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**2 - 7*p - 15. Let s be k(8). Let a be 288\/56 - (-1)\/s. Suppose 4*r + 524 = 5*d, 3*d + a*r - 328 = 4*r. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, -16, 1\/16, -33, -5?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15930 - 15928. Suppose -15 = -5*l - 0*l. Suppose 3*x + 0 + l = 0. Do o and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 1181*v + 248838. Give o(-211).\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-8)*32\/24.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -20495409*g**3 - 2*g**2 + 943*g - 53.\nAnswer: -122972454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2837, -3517, -5361, -8951, -14869, -23697, -36017, -52411?\n\"Answer: -97*a**3 - a - 2739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**3 - 8*a**2 - 4*a - 5. Let p be i(-3). Let k = p - -66. Let o = 34 - k. Calculate the least common multiple of o and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 184 divide 210062501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**3 - 6*l**2 - 2*l - 3. Suppose -5*v + 5*x = 5 + 15, -x + 19 = -4*v. Let m be s(v). Let r = m + 27. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 12) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -426*g - 22*g + 126*g - 421*g as n*g + h and give n.\nAnswer: -743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 440\/60 - 1\/3. Let t = -5 + 12. Is t greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve l + 36 - 45 = -2*t, -4*t + 4*l = -24 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 193*u**3 - 7*u**2 + 14*u + 7. Let b(a) = 64*a**3 - 2*a**2 + 4*a + 2. What is -7*b(g) + 2*r(g)?\nAnswer: -62*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - -134505?\nAnswer: 134506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes before 9:01 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110 (base 4) to base 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(720) + 2)*2 + (1*sqrt(720) + -4)**2 + -3*sqrt(1280) + -3 + sqrt(1280).\nAnswer: -104*sqrt(5) + 737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8729, 61240, 203773, 481340, 938953?\nAnswer: 1621624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -286 + 291. Suppose -q + i - g*i + 58 = 0, -2*q + i = -107. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 4, z: 6, x: 2, k: 2}. Give prob of sequence zz.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u + 216 - 228. Let l be (-7 + 3)\/(-1*4\/(-2)). Sort -1, 2, l, u.\nAnswer: l, -1, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -27, -48, -69, -90?\n\"Answer: -21*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes before 1:36 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*d - 695 + 705 = 618 for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2*(-3)\/9)\/((-24)\/(-9)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**3 - 15*a**2 - 53*a + 24. Calculate the remainder when b(-10) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 415 and 166?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert f9485 (base 16) to base 8.\nAnswer: 3712205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 61*b**3*m*p**3 + 2*b**3*p**3 - b**3 + 163*b**2*p**3 + 2*b*m + 2*b*p + 30*m*p**3 wrt m?\nAnswer: 61*b**3*p**3 + 2*b + 30*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dhgz when four letters picked without replacement from {d: 1, h: 1, g: 1, z: 1, b: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + w**2)*(38*w - 13*w + 32*w)*(-2*w + 2*w + 2*w).\nAnswer: 114*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14*l + 15*l + 111*l**2 - 44*l wrt l?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*y + k - 18, 44*y - 49*y - 5*k = 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -436490516*z**2 - 739367279?\nAnswer: -872981032*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 85 - -454. Let w = -304 + i. Suppose -11*q + w = -6*q. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiiiiimiimiimiiiiiii. Give prob of sequence mm.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 26494, 105976, 238448, 423910, 662362, 953804, 1298236?\nAnswer: 1695658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of 0*i**2 + 20 + 0*i**4 - 37\/6*i**6 + 0*i + 12*i**3 + 0*i**5. Find the third derivative of r(q) wrt q.\nAnswer: -2220*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/(-4) + (-36728)\/(-32). Let p = h + -162. List the prime factors of (-4)\/10 - p\/(-25).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**2 + n - 2. Let b be c(2). Let m = -9 - b. Let z(g) = -2*g - 7. Let u be z(m). Solve -4*h + u*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 140*f**2. Let p(d) be the first derivative of d**2\/2 - 987. Give z(p(q)).\nAnswer: 140*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -8 + -4 + 6 + 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 98602*h**4 + 2*h**2 + 138*h - 213380095.\nAnswer: 394408*h**3 + 4*h + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**2\/4 - 235*v\/4 - 112659.\nAnswer: (v - 799)*(v + 564)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/((h*h**(-1))\/h)*h*h*h*h*h**(5\/6)*h**(-1)*h**6\/h*(h**(-1\/2)*h**(3\/2))**(-8) assuming h is positive.\nAnswer: h**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20 + -21?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/3 + (-32)\/(-12). Suppose -2*g - 2*d + 94200 = -0*d, -a*g + 94200 = -d. Round g to the nearest one thousand.\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -2*o. Let q(u) = -4543*u**2. Determine q(i(v)).\nAnswer: -18172*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*f = 18 - 0. Let b be 126\/(-140) - (f + 15\/(-6)). What is the fourth biggest value in 17, -3, 2\/5, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**3 - 5*y**2 + 16*y + 17. Let x be z(-7). Solve 3*o = 4*o - x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -931e - 3?\nAnswer: -9322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*(l\/l**(-1\/4))\/l*l*l)**(1\/5))**(-9\/5))**(-7) assuming l is positive.\nAnswer: l**(819\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 - (0 + 4))\/((-165)\/(-110)). Let f(t) = -44*t**3 + 3*t**2 - 10. Let w be f(r). Calculate the greatest common divisor of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 22*q**2 + 67*q - 881. Let v(m) = -19*m**2 - 69*m + 880. Let r(w) = -5*d(w) - 6*v(w). Differentiate r(x) wrt x.\nAnswer: 8*x + 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*u**2 + 223*u**2 - 316*u**2 + 253*u**2.\nAnswer: 194*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 4*c**2 - 3*c**2 + 5*c**2 - 25159*c**3 + 25125*c**3 - 4*c**4 as q*c**2 + l*c + t*c**4 + o + p*c**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**3 + 4*t**2 - 6*t - 6. Let j be m(-5). Let p be (-30)\/18 - (j + 0). Let b be 59\/(4602\/195)*1\/5. What is the nearest to 0.2 in b, 5, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + i = -15703, 5*f - 78523 = 88*i - 91*i. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -12*s**3 + 12*s**3 + 4*s**4 + 4*s**4 + 4*s**4 - 4*s**4 + (-s + s - 2*s)*(-2*s**3 - s**2 + s**2) - 4*s**4 + 3*s**4 - 2*s**4 - s**4 + 3*s**4 + s**4.\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(168)*2 + -5*sqrt(126)\/sqrt(3))\/(sqrt(384) + sqrt(384) + sqrt(384) + 1*sqrt(384) - sqrt(54)*-1)*1)**2.\nAnswer: 16\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, y: 1, x: 2, u: 2}. Give prob of picking 2 u and 2 x.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.48*4\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -30112343 (base 5) in base 16?\nAnswer: -3a389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*c*r**3 - c*r**2 + 57*c*r - 4*c + 8*r**4 wrt r.\nAnswer: 12*c*r - 2*c + 96*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 + 0.711136?\nAnswer: 0.611136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 143 and 2334397.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 + -665?\nAnswer: -661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 990\/75*800\/360*(-3)\/(-12)?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 872 equal to 872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 11 = -37. Let a(t) = -42 + 5*t + 2 + 9*t - 150. What is the remainder when a(18) is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/((-20)\/50) - (-420)\/78*-1.\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 4*c + 2*y = -5, -4*c + 46 = 5*y. Calculate the highest common factor of 288 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18\/265 - -599\/12720. Does -11.7 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -18\/81197 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3654?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1390658*n + 1780793.\nAnswer: 1390658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 93652.33 centuries to millennia.\nAnswer: 9365.233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 6*n = -360. Let b = 77 - n. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46275.\nAnswer: 3, 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12702 is divided by 477.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0\/3)\/(44\/(-22)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -61224 != -4\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -670 - -673. Which is smaller: l or 35?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 131914427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in -1\/9, 1, -333053, -4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2301.973mm to nanometers.\nAnswer: 2301973000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**4)**48*(m\/(m**8*m*m))\/m**(1\/8))**(-7) assuming m is positive.\nAnswer: m**(-10241\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 392009181?\nAnswer: 3, 130669727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**2 + 11*t + 17. Suppose -i + 8 = -v + 3, -4*v = 5*i - 16. Suppose -3*w = -i*o + 9, 1 = -2*w + 5*o + 2. What is l(w)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than 8\/289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - 22 = u, -2*u - 5*j + 9*j = 20 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*n + 3*n - 4*n)*(-1 + 1 - 3)*(0 + 0 - 2*n**3).\nAnswer: 24*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 11090946 at least 11090946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, x: 9}. Give prob of sequence wx.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 + 6. Let b(f) = 6*f**2 - 3*f - 2. Let w(y) be the second derivative of 11*y**4\/12 - 5*y**3\/6 - 2*y**2 + 12*y - 1. What is k*b(x) + 4*w(x)?\nAnswer: 2*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 14*s**3 - s**2 + 1. Let h(g) = g + 3*g - 3*g - 3. Let t(k) = -2*k**2 + 143*k - 208. Let v be t(70). Let n be h(v). Determine q(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 632963569.\nAnswer: 7, 43, 659, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/2, 1\/9, 2.02, 0.6 in decreasing order.\nAnswer: 2.02, 0.6, 1\/9, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -944*h - 5477 - 13732 - 36805 = -5982 for h.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15062 = 13*o - 30*o. What are the prime factors of o?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -24, -14, 8, 48, 112, 206, 336, 508?\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uen when three letters picked without replacement from {p: 1, e: 1, n: 1, i: 1, u: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 389 = 3*j, -3*j - 2*j = -3*s - 600. Suppose 10*p - 283 = 137. Calculate the remainder when j is divided by p.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 20, 44, 82, 134?\n\"Answer: 7*s**2 + 3*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the second derivative of -59*h**4\/12 - 8*h**3\/3 + 3*h - 16. Find the second derivative of c(w) wrt w.\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1072 by 4.\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 123 + -78. Let f(r) = -4*r + p + 3*r + 2*r. Does 15 divide f(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o - 6 = -2*u - 14, 3*u = 5*o - 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -25*d - 229 + 104 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -8\/5, 2, -60, -11, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + (7 + -17 + -5 - -7) + 3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 55, 116, 181, 250, 323, 400, 481?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 27347 - 69795 - 58154 = 0. Calculate the highest common factor of 46 and f.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -871 + 2*z**2 - 21*z**2 + 42*z - 120*z**2 - 38*z - 14*z**2 wrt z.\nAnswer: -306*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 2*sqrt(176) + -2)**2 + (sqrt(11) - (4 + sqrt(11) + -5) - 1*sqrt(704)).\nAnswer: 8*sqrt(11) + 706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - (69 - -2)) + (24 - (24 + (-11 - -1)))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 10*u**2 + 4*u - 3. Let s = 14 + -9. Suppose -s*f + 0*c = -2*c - 22, f + 3*c = 18. What is the remainder when b(1) is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*b**3\/9 - 1178*b**2\/9 + 6964*b\/9 + 18656\/9 = 0. Calculate b.\nAnswer: -2, 8, 583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*i**3\/7 - 2313*i**2 + 21853800*i\/7 - 21837612\/7.\nAnswer: 3*(i - 2698)**2*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 269568?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13 + -10. Let o = 3 - u. What is the closest to o in 3\/7, -1\/5, 0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 789 and 10?\nAnswer: 7890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -36 + 56. Suppose -3*j = j - v. Suppose 0 = -2*z - 2, -j*w - 5*z + 26 = 1. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 174\/308 - (77\/637 + 86\/26 + -3).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 107*z**3 - 6*z**2 + 6*z**2 - 108*z**3 + 1 - 2*z - z**2 + 30*z**4 to the form f*z + q*z**4 + o*z**3 + u + m*z**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the second derivative of f**3\/6 + f**2 - 12*f. Give h(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5789524 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 100.6 + -11.6. Let n = -117 + p. Do -5 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 125916744 and 321?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 10100111101111110 (base 2) in base 11?\nAnswer: 59589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31773 is divided by 521?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 141*r - 18. Let u be s(-1). Let a = 160 - u. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 32 + -41421312441?\nAnswer: -41421312404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*p = -5*q + 3, 3*q + 3*p + 2071 - 2083 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14368193 and 1415?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -2*x**2 - 31*x + 46. What is d(-16)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 402\/(-48) - (-6)\/16. What are the prime factors of 3487\/22 - (-12)\/d?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k - 1. What is n(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (8 + -27) - (-16 + 4).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from hnqve?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12350278 or -12350301?\nAnswer: -12350301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8770 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -643 = -2*o + 3*m, 2*m = -4*o + 3*m + 1301. Let i be o + (4\/6 - (-33)\/(-9)). Find the first derivative of -8 - l**2 - 301*l**3 + i*l**3 + l**2 wrt l.\nAnswer: 66*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 5*r**3 + 6*r**2 + 6*r - 6. Let v(h) = -4*h**3 - 5*h**2 - 5*h + 5. Let p(z) = 5*n(z) + 6*v(z). Determine p(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes after 3:20 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 2*w**3 + 243*w**2 - 613*w + 665. Give l(-124).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -106327*x**4 - 30242*x wrt x.\nAnswer: -1275924*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10 - (-3 + -6) - 3) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -20.20154 and 376.4?\nAnswer: 396.60154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 + w**2 - w. Suppose 10 = -p + 26. Suppose -15*r = -p*r + 12. Suppose 0*g + 4*g = r. Let o(i) = 5*i**3 + 5*i**2 - 3*i. Calculate g*j(h) - o(h).\nAnswer: -2*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5916 and 3828?\nAnswer: 65076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 18758 and 63280.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13668160 by 968.\nAnswer: 14120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times 169308440?\nAnswer: -16930844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 - 26. Let h = -685171\/49530 + 1\/8255. What is the common denominator of h and 1126\/180 + (-2)\/s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 2085*a + 2459. What are the prime factors of p(5)?\nAnswer: 2, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11737492 divided by 5.\nAnswer: -11737492\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 29 - (-7 + (11 - -41) + 2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -10*f**2 + 165*f - 155 = 0?\nAnswer: 1, 31\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (1 + 5 - (-99 + 93))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0\/3 + 1)*-1. Let w(t) = t + 1. Let s be w(i). Suppose s = u - 3*u + 96000. What is u rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 2*c**2 + 6*c - 5. What is the smallest common multiple of 21 and m(1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4667, 4151, 3635, 3119, 2603?\nAnswer: 2087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -3*f**2 - 116*f + 53012. What is b(115)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.2, 3, -96\/151, -1?\nAnswer: -96\/151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1, 4, -5, 250479 in increasing order.\nAnswer: -5, -1, 0, 4, 250479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (32\/6)\/((-2034296)\/(-346755))\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**2 - 39*o + 320. Give a(27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41 = -8*g - 0*g - 145 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - -11) + (24 - (85 + (-14 - 20))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 200, 793, 1788, 3191, 5008, 7245?\nAnswer: 9908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m - 3*m + 4*m)*(11 - 5 - 5) + m - 4*m + 4*m + 0 + m + 0 + (0*m + m - 3*m)*(3 + 0 - 5) + 4 + 2*m - 4.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 3696, 7784, 11872?\n\"Answer: 4088*r - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 178 divided by -21.\nAnswer: -178\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 46338509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 221 = 5*k - 340, 0 = 4*k - 20. Calculate the remainder when p is divided by 74.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 2*u. Let o(a) = a. Let l be -3 + (-14 - -12 - -10). Let h be -2*(0 + 2 + -1). Give h*p(b) + l*o(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (3 - (3 - -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 1)*(-x - 5 + 5)*(-93*x**4 + 3132698 + 284*x**4 - 3132682).\nAnswer: 191*x**5 + 16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4 + 8\/(-12))\/((-4)\/(-6)). Let b be ((-10)\/(-3))\/(4\/6). Solve 20 = -z*g + b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 37 = -4*d, v - 5 + 0 = 0. Let m = 13 - d. Suppose -10 - 2 = -2*j. Which is bigger: m or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 482?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -207dcd - -5?\nAnswer: -207dc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44675 is divided by 4066.\nAnswer: 4015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53655 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/11?  (a) 4  (b) 3\/7  (c) -4  (d) 29.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3292112 smaller than 3292102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzg when three letters picked without replacement from xxggzgslxl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eqeeqqeeqeqq. Give prob of picking 2 e and 2 q.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3164?\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c + 4*p - 40 = 0, -25 = 26*p - 31*p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**2 - 5*k + 3. Let j be a(4). Let l be j*(-5 - -2)*-1. Which is greater: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 331763 divided by 1220\nAnswer: 331763\/1220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0, -19, 36 in decreasing order.\nAnswer: 36, 0, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**3 - 395*d**2 - 12746*d - 1707. Determine k(425).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.38, 2367, -2\/13, 0.5, 2\/9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18693 + -18100. Calculate the remainder when y is divided by 102.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q - 2, -6*o + o - 3*q = -12. Calculate the least common multiple of ((-3)\/(-9))\/((-5)\/(-165)) and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (759\/92 - 5\/(-1))\/8 and 31\/2460.\nAnswer: 19680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 179773619 to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.12 minus 77781?\nAnswer: -77780.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**3 + 106*p**2 + 316*p + 1274. What is c(-103)?\nAnswer: 553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vpvvviii.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1 - (11 + -12)\/(2\/(-2)). Put p, 5, -11, -4 in ascending order.\nAnswer: -11, -4, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 40\/5 - (0 - -3). Suppose g*o + 0*o - 300000 = 0. What is o rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -306*a - 1105 - 22*a + 1107.\nAnswer: -328*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate b**2*n*y + 2*b**2*w*y**2 - 6*b**2*y**2 - 14*b*n*w*y - 44*n*w*y**2 - 6*w*y**2 - 2*w wrt n.\nAnswer: b**2*y - 14*b*w*y - 44*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*r**3 - 51*r - 3*r**3 + 18*r**3.\nAnswer: 24*r**3 - 51*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*l**3 + 16*l**3 - 5*l**2 + 14*l**2 - 9*l**2.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/3 in 0, 3, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -127.064709*0.1.\nAnswer: -12.7064709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -2*z - 26. Let x be r(-12). Let h be 3\/x + (-1)\/(-1). What is the third smallest value in 0.5, 3\/4, h?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-104)*(-5 - -9). Which is the second smallest value?  (a) u  (b) -85  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55952 is divided by 3291?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 715 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/1 - 5\/((-20)\/(-8)). Let z(r) be the third derivative of -2*r**2 + v*r - 1\/270*r**5 + 0 + 0*r**3 + 0*r**4. Find o, given that z(o) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -161, -137, -109, -77, -41, -1?\n\"Answer: 2*i**2 + 18*i - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3996 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -29621, -29813, -30121, -30545, -31085, -31741, -32513?\n\"Answer: -58*w**2 - 18*w - 29545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o + o**3 + 2*o)*(-46 - 14 - 1)*(-o + o - 5*o).\nAnswer: 305*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -66*a + 1326. Give l(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 3, z: 8, p: 6}. Give prob of sequence zccz.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -m**2 + m**2 - 4*m**2 - 5*m**2 + 10*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 324111?  (a) 0.11  (b) -0.3  (c) 2\/5  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -9449 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*f - 9*f - 10*f + 86 + 24*f - 2*f to n*f + q and give q.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*z**2 + 44*z + 60*z**2 - 93*z**2 - 249*z**2 - 44*z.\nAnswer: -258*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 2*v + 38 - 127, 2*o - 94 = -2*v. What is the greatest common factor of v and 798?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p**0*p)*p**(-2\/3))\/((p\/(p**(-1)*p)*p*p)\/p)**(-48))\/((p**(2\/3))**(-2\/29))**(-3\/11) assuming p is positive.\nAnswer: p**(91222\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78560 is divided by 251?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -991*g - 1238*g + 1328*g to the form c*g + n and give c.\nAnswer: -901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1073100 is divided by 536538.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 883\/44 + -81\/4. Let t = -2 + 2.04. Let a = -0.26 - t. What is the third smallest value in -3\/8, a, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(117)\/(sqrt(45)\/sqrt(5)) - (-5*sqrt(13)*-3)**2.\nAnswer: -2925 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -12 - -9 - 0\/2. Let d be 0 + 3 + 4 + -4. Suppose -o - 10 = -d*o. Sort n, o, 1 in increasing order.\nAnswer: n, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16.9 + 779100019675\nAnswer: 779100019658.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 45\/(-4)*26\/(-39)*4. Solve 5*q - 4*o - 6 = 0, 7*q = 2*q - 5*o - m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 10*u**2 + 5*u - 8. Let o be a(-1). Sort o, 3, 15 in descending order.\nAnswer: 15, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 196425?\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the third derivative of -j**6\/180 + j**4\/8 - 7*j**2. Let i(l) be the second derivative of f(l). Let d(g) = -2*g**2 + g - g. Give d(i(o)).\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 712274 is divided by 307.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1cb56 (base 15) to base 12\nAnswer: -46269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 138001 divided by -59.\nAnswer: -2339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/6*(-202)\/303.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 (base 7) in base 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 594 divide 906474266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + -7040.244.\nAnswer: -7045.244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 641.467 and 1.3.\nAnswer: 833.9071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55 = -4*q - s, -205 + 169 = -3*q + s for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.49571 rounded to two dps?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:24 PM and 11:03 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -b (base 13) in base 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**2 + 3. Let f be m(0). Let q(k) = f*k**2 - 5*k**2 + 2*k**2 - 1 - k**2 + 9*k. Is q(7) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.571369 millennia in years?\nAnswer: 1571.369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4823 + 1278. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -386846 times 10\nAnswer: -3868460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 8241, 16463, 24663, 32841, 40997, 49131, 57243?\n\"Answer: -11*o**2 + 8255*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -406655, -813310, -1219963, -1626614, -2033263, -2439910?\n\"Answer: w**2 - 406658*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 0*n - 2 = 0. Solve 4*t - n = 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:45 AM and 6:23 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 179463 and 8965?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 873*v - 87 = 855*v - 15. Solve -9*f + 6*f - 4*l = -24, v*l = -f + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 8 = -5*g. Suppose 5*f + 7*t + 23 = 3*t, -2*t = g. Does 2 divide (4 - 1) + (-1 - f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 238220 to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let 1\/2*h**3 + h**2 + 0*h - 1\/2*h**5 + 0 - h**4 = 0. What is h?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32.397009 + -331369\nAnswer: -331336.602991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a + 3*a - 2*a)*(5 - 5 + 2*a**2)*(-21*a + 63*a - 27*a).\nAnswer: -60*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/682686 and 167\/50490.\nAnswer: 112643190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 8\/(-48)*-42?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5170086\/5 at most as big as 1034018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000111101111000101101 + 110000100?\nAnswer: -1000111101110010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53 + 30*n**3 + 53.\nAnswer: 30*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 4*q = -q - 3, 2*q = -3*j + 2. Suppose c - 99 = -3*b - 2*c, j = 3*b - c - 111. Calculate the remainder when b is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(2448) + (sqrt(2448)*-1 - sqrt(2448)) + sqrt(2448) + 2 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1395\/(-2232)*(-3456)\/(-936)?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4.9 and -0.9.\nAnswer: -4.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/12*1\/(-5)*-4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -169\/420 and -83\/480.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 68*f**3 + 3*f**2 + 20*f + 18. Give t(-1).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 12a - -3?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20 - 105) + -125 + 189.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from kkkkkqkkkkkkp?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 268*m - 259*m + 54 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**(-1)*u)\/u)\/((u*(u*u**3)\/u)\/u*u))\/(u**(-3)\/u*u**(-7\/2)*u) assuming u is positive.\nAnswer: u**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r - 2170 = -4*s - 2172, 10 = -10*s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:03 PM and 5:00 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (1786\/8 - 6) + (-2)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59 = -2*g - 49*n + 42*n - 3, -6*n = -0*n for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -167\/8910 and -44\/27.\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -14*f - 14*f + 252 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*x**3 + 655*x**2 - 4*x**3 - 655*x**2.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13458 is divided by 6000?\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 16) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.1324 take away 152.20417975?\nAnswer: -150.07177975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -3*l**3. Let w be u(-1). Let q = -5 + 8. Let z(y) = y + y**q + 2*y**3 - y**2 + 2*y**w. What is z(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 697 - 697 - 32*p.\nAnswer: -32*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - u = l + 108, 0 = 5*l - 5*u + 160. Let d = l - -73. Suppose -6*j - d = -3*j. Is j at least -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.55 + 0.5499975. What is d rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99 - 279 = -20*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -27, -3, -125391, -1 in descending order.\nAnswer: -1, -3, -27, -125391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 38\/7 of a week in minutes?\nAnswer: 54720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 15, j: 3}. Give prob of sequence jgg.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-209)\/462 + (-2)\/(-7). Which is the closest to -2?  (a) k  (b) 3\/2  (c) -1.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2299130592 to the nearest integer?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the second derivative of 2*u**3\/3 - 31*u**2\/2 - u. What is the units digit of n(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 11) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*1*(-2 + ((sqrt(931) + sqrt(931) + 3*sqrt(931))**2 - sqrt(931)) - ((-3*sqrt(931))**2 - sqrt(931))*-2)*1.\nAnswer: -105*sqrt(19) + 200155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -43*a**3 - 3*a**2 + a + 6. Let q be z(-2). Let i = 339 - q. Solve 5*l + 3*b = -20, 2*l = -2*l + i*b + 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*s - k, -s = -k - 0 - 1. Let f be 1\/(((-6)\/s)\/(-6)). Let l(p) = -6*p + 28. Let o be l(5). Put o, f, 0 in decreasing order.\nAnswer: f, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:18 PM and 9:18 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*b - 4*b - 8*b - 12*b to the form v + f*b and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1732, -3463, -5194, -6925, -8656?\nAnswer: -10387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37797?\nAnswer: 3, 43, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 3*h = 37, 73 - 79 = -2*w + 4*h - 3*h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 - 3.8. Let g = -9 + 8. What is the closest to g in 3, 1\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the first derivative of l**4\/4 - 2*l**3\/3 - 5*l**2\/2 + 3*l - 8. Let z be w(4). Let p be (5\/(z\/2))\/((-7)\/(-3)). Put p, -0.2, 0.3 in descending order.\nAnswer: 0.3, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26099667599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o**5 + 0*o**5 + 0*o**5 - 2)*(-4 - 2 + 0) + 4*o**5 + 2*o**5 - 5*o**5.\nAnswer: 7*o**5 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 784.164 decades to years.\nAnswer: 7841.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -46 + 48.9. Let y = 4.9 - w. Which is the second biggest value?  (a) 1  (b) 1\/4  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -176 divided by -149?\nAnswer: 176\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 306, -166, -960, -2076?\nAnswer: -3514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/12 and (-819)\/168 - (0 + (-4)\/36*3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -28.2 - -28.284. Let q = g + -0.08399852. What is q rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tyttttttttytytt. Give prob of picking 2 y and 2 t.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 83*b**2*t**3*y**2 - 2*b**2*t*y**2 + b*t*y - b*t - 3*t**3*y**2 + 14*t*y**2 wrt b.\nAnswer: 166*t**3*y**2 - 4*t*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/3*(18\/(-12) - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = -24 - 24. Let s(r) = 9*r - 6. Let f be s(4). Let y = f + b. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 2*h**2 - h**2 + 7 - 2*h**2 + 6*h**2. Calculate the remainder when 161 is divided by p(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(171) + (sqrt(171)*-1*2 + sqrt(171) + sqrt(171) - sqrt(171)))\/sqrt(9)*-4 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -x**2 - x**2 + 3*x**2 - 9*x**2 + 27*x - 27*x + (3 - 3 - 2)*(x**2 - x**2 - 2*x**2).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 + -4. Let w(b) = 1 + 25*b + 4*b + 1 - 4 - b**3. Let p be w(5). Solve 5*a = u*c + c + p, -4*a = -5*c - 17 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -23*o + 1. Let t(j) = -228*j + 10. Let a(c) = -6*t(c) + 60*z(c). Let y(n) = 2*n**2 - 120*n. Calculate y(a(i)).\nAnswer: 288*i**2 + 1440*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 3*s**2 + 29*s - 30. What is the remainder when t(-14) is divided by 35?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1444339 + 482643 = 23456*r for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8 - -7.9. What is the nearest to d in -3, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*0.05425.\nAnswer: -0.217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 521 and -53.\nAnswer: -27613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 74047046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.01 + -0.05. Let u = n - -3.06. Let p = 8 - u. What is the nearest to 0 in p, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -2199755*g**2 - 3*g - 3. Let c(l) = -5*l. Calculate m(c(q)).\nAnswer: -54993875*q**2 + 15*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (22*2\/8)\/((-410)\/820) + -6\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 divided by 162?\nAnswer: 53\/162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 48.40385ml to litres.\nAnswer: 0.04840385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(11) + -2 + -1.\nAnswer: -3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -4*k + 79, -7*k + 2*n + 61 = -4*k. What is the remainder when 648 is divided by k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 - 254173.\nAnswer: -254178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*(j**(7\/3)\/j*j)\/j*j*j)**18 assuming j is positive.\nAnswer: j**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 9:57 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -97.088 + -5.592. Let c = 102 + z. Let y = c + 0.58. Which is smaller: y or 0.6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3.96 + 0.04. Suppose -14 = -n - 0*n + 2*h, 2*h = -n + 2. Let k be (1\/n)\/((-5)\/(-4)). Which is the smallest value?  (a) k  (b) v  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-166)\/(-34) - 2\/(-17). Sort 4, t, -38 in ascending order.\nAnswer: -38, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 81*o - 393. Calculate u(8).\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4*(26\/9 + -3). Put n, -4, 2\/3 in decreasing order.\nAnswer: 2\/3, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**2\/9 - 138308*t\/9 - 138326.\nAnswer: 2*(t - 69163)*(t + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j + 16*j - 2*j)*(-196*j**4 - 207*j**4 + 419*j**4 - 3*j**3).\nAnswer: 240*j**5 - 45*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32968 divided by 4.\nAnswer: 8242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes before 6:27 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13947\/11 + 1268. Sort 1\/3, -0.2, d in ascending order.\nAnswer: -0.2, d, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in three eighths of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -83*x**3 - 4*x**2 - 3*x.\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (45*j**3 + 3*j**3 - 10*j**3)*(-579 + 248 + 2*j + 284) in the form t*j**4 + v*j + c*j**2 + n + i*j**3 and give i.\nAnswer: -1786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 86 = -2*o, -5*u = -o - 72 - 32. Suppose 2*f - a - 46 = -u, f - a = 10. What is the remainder when 2 + (-2 - -2) + 31 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -0.2, 3\/5.\nAnswer: -0.2, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -3 - 5*k + 4*k + 4*k - 2 + k**2. Is t(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29348.\nAnswer: 2, 11, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/40 in -0.4, -1\/5, 282, -0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*((-2*sqrt(95) - sqrt(95)) + sqrt(95)) + -2*sqrt(95)*3)*-3)\/((2*sqrt(3520))\/(sqrt(44)*-1)) + 3.\nAnswer: -15*sqrt(19)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15293 + -8869. Let t = 250502\/39 - z. Let s = t + 22\/39. Is 1 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.219109124 rounded to three dps?\nAnswer: -0.219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 484 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1037 + 857 = -30*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15857\/7332 - -5\/564. Which is smaller: 7\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10\/(-35))\/((-60)\/413) + (-93)\/310\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 + 23635?\nAnswer: 23641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 172*z**2 - 3087*z - 165. Give g(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + -0.2. Let c = -4.8 + 5.1. Let x = 1279\/7 - 183. What is the closest to x in 3, s, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1222322 (base 4) to base 10\nAnswer: -6842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 3*o**2 - 16*o - 6. Determine g(8).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + (17 - (5 + -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - 2*i + 5 = 0, 4 = f + 2*i - 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*v - 4*b - 45 = 0, -13227*b + 13231*b - 5 = 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -10*q**2 + 8*q - 4. Let m(n) = 11*n**2 - 9*n + 5. Calculate 4*m(s) + 5*z(s).\nAnswer: -6*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 78087376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 12009 times -0.1?\nAnswer: -1200.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 93*v + 42*v + 391 - 2956 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -27*p. Let t(x) = 177*x - 382*x + 192*x. Calculate t(j(l)).\nAnswer: 351*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -200155 - -21552?\nAnswer: -134203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-2541)\/8228)\/(35\/(-40))\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**3 - 8*u**2 - 4*u + 27. Suppose 4*a = -x - 32, a + 4 = 5*x + 17. Is 3 a factor of k(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 164, 176, 190, 206, 224?\n\"Answer: d**2 + 9*d + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) - ((-2*sqrt(14))\/sqrt(7) + sqrt(2))) + -2 + sqrt(2) + sqrt(2)*-1 - sqrt(18)\/(sqrt(36)*-3).\nAnswer: -2 + 13*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (-7 - (-4 - (2 + -10 + 3))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/27, 4.9, 0, -4\/5, -13\/11 in descending order.\nAnswer: 4.9, 2\/27, 0, -4\/5, -13\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in -1.69, 6, -503?\nAnswer: -1.69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 31 - ((-56)\/8 + 8). Let l be 3 - 1\/3*d. Which is smaller: -3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70028986 to the power of 1\/2, to the nearest integer?\nAnswer: 8368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 14197*p. Let s(j) = -3*j**2. Determine s(k(v)).\nAnswer: -604664427*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1420178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/147)\/((-50)\/35 - 322\/(-3381)).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 116 = 4*q, -52 = -2*c - 2*q - 4. Round c to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*q + 56 = 74 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/4 - (-21)\/12. Suppose n - 2*j + 0 + 6 = 0, -3*n = 2*j - 14. Let q be (3\/n)\/(-4 + 36\/8). Which is bigger: l or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61 = 15*l - 14. Suppose 0 = -5*f - 3*v - 412, l*v = 4*f - 2*f + 171. Which is smaller: -84 or f?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in one tenth of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 298058.7l?\nAnswer: 298058700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -8*m**3 - 30*m**2 + 6853*m - 94164540?\nAnswer: -24*m**2 - 60*m + 6853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 2*k = -2, 9 = -2*r - 3*k - 2. Let a(b) be the first derivative of 0*b**3 + 0*b + 1 - 1\/2*b**4 - b**r. Find the second derivative of a(g) wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-20 - 15 - 9)*(-25*g**2 - 3*g**2 - 11*g**2)*(2*g**2 - 6*g**2 + 2*g**2) in the form s*g**2 + c + t*g + j*g**4 + m*g**3 and give j.\nAnswer: -3432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 38989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 143335?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -489167 (base 11) in base 7?\nAnswer: -6401055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2.959 times 5\nAnswer: 14.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 471 = y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*g + 0*g - 4*g)*(g + g + 0*g - 6*g**2) to l*g + h + n*g**2 + j*g**3 and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(119) + 5*sqrt(119)*1 - sqrt(119)) + sqrt(119) + (sqrt(119) - -2*sqrt(119))*3 + sqrt(119))\/(1*sqrt(28) - sqrt(7) - sqrt(42)\/sqrt(96)).\nAnswer: 3 + 64*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.8 + 0. Let t = 0.6 + f. Let k = 85 + -84.6. Which is the biggest value?  (a) t  (b) 4\/5  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 62 * -80.\nAnswer: -4960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1405329 to the power of 1\/2, to the nearest integer?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 <= 5\/212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from hrrrhr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-824)\/(-3) - 6\/(-18). What is the greatest common factor of k and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*c*t**3 + 3*c*t**2 - c*t - 150*c + 2*t**4 wrt t?\nAnswer: 18*c*t + 6*c + 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 716107548 and -0.1?\nAnswer: 716107548.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 u when two letters picked without replacement from xuttt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1\/2))**(-30)\/(x\/(x*x\/(x\/(x\/x**(2\/3)))))**(-15) assuming x is positive.\nAnswer: x**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the second derivative of -9*r**5\/20 + 5*r**3\/3 + r. Find the second derivative of y(w) wrt w.\nAnswer: -54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -6445736, -12891510, -19337284?\n\"Answer: -6445774*v + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 80, -0.1952 in descending order.\nAnswer: 80, 5, -0.1952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2 + v + 54. Let r be x(0). Let a = -8 - -41. Let q = a + r. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2404690.\nAnswer: 2, 5, 191, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69532 is divided by 69222?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -2*y + 25. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -64?  (a) -2\/23  (b) -79  (c) 4  (d) -3  (e) 1\/462\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4102 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n**2\/7 + 18*n\/7 + 648\/7 = 0 for n.\nAnswer: -12, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 203*a + 3432 = 208*a + 4*g, 0 = -2*a + 4*g + 1412. Sort 0.3, a, 0.5, -2 in increasing order.\nAnswer: -2, 0.3, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 20\/183?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4 + 1063970\/15)\/((-28)\/(-42)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 p when three letters picked without replacement from {p: 6, h: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -145 = -80*x + 51*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 128.7442 millennia in centuries?\nAnswer: 1287.442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 2, m: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c + 5*o + 98, -2*c + 5*o - 197 = -5*c. Let i(a) = -26*a**2 - 3 - 29*a**2 + c*a**2. Let j(x) = 3*x. What is j(i(q))?\nAnswer: 12*q**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1518252 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 27 = 3*l, 4*z + 0*l + 3*l = 37. Let u = -89 - -174. Suppose 5*j - z = u. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 6113, 12230, 18335, 24422, 30485, 36518?\n\"Answer: -k**3 + 6124*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 7, 0.5, 4, 1, 20\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*h**5 - 2*h**5 + 0*h**5 + (-2*h**3 + 3*h - 3*h)*(0*h**2 + 2*h**2 + 0*h**2) + (-1 + 1 + 2*h**2)*(140*h**3 - 123213*h**2 + 123213*h**2).\nAnswer: 278*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (72\/(-40) - -1)\/((-308)\/(-210)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3282854 is divided by 62?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.87 - -0.23. Let g = -3.24 + k. Let h = 1.14 + g. What is the third smallest value in 2, -2, h, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3\/(24\/118))\/(1\/4). Let q = a - 62. Let l(z) be the first derivative of z**3\/3 + z**2\/2 - 4*z + 1. Calculate l(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 52 - 54. Find the common denominator of y\/42*(-133)\/(-6) and 0 - 58\/(-7)*(-3)\/36.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**3 - j**2 + 4. Suppose 0 = -2*a - 0*a. Let h be y(a). What is the derivative of 1 + 0*w**2 - h - 3*w**2 + 0*w**2 wrt w?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 44 + -28. Is 8 a factor of 87 + (t\/(-4))\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-154 - -171) + (-13 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -267720, -267721, -267722?\n\"Answer: -p - 267719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -2*w**3 - 9*w**2 + 19*w + 2. Let d be f(-8). Let s be (-4)\/((-4)\/(-1)) + 6. Suppose -3 = -3*a, 4*y + 3*a - d = s*a. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(45))\/sqrt(3))\/sqrt(5).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4.5 + -4.6. Is q not equal to 0.26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**3 + 37*q**2 + 71*q + 57. Let k = 285 - 200. Calculate the remainder when k is divided by a(-35).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -55 + 109. Let a(z) = -2*z**3 + 2*z**2 + 16*z + 36. Let k be a(-3). Suppose k*m - 228 = n*m. What is the greatest common factor of 57 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 117f5f2a + 1?\nAnswer: 117f5f2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 8*y**2 - 447*y - 94. Give d(56).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 89 and 33464.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1\/2489 - -94561\/52269. Find the common denominator of t and 41\/15504.\nAnswer: 108528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 144187427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(228)\/(sqrt(768)*-2) - 3*sqrt(931)*4)**2.\nAnswer: 34371475\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nvbovtng. What is prob of picking 1 n and 1 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b + 1. Let d be (-2 + 2)*(-5)\/10. Let m be p(d). Let y be 18\/6 - (-16 - m). What is the highest common factor of y and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 3, p: 6, w: 4}. Give prob of sequence wwp.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 874*z**4 - 6*z**2 + 81*z**3 - 873*z**4 - 6 - 83*z**3 + 21*z to x*z**3 + r*z + p*z**4 + q + n*z**2 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 9855 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -a + -96?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -22 (base 6) to base 7\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2523129 is divided by 1660?\nAnswer: 1589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3 + 1464*x**2 + 2449755*x + 738504382.\nAnswer: -(x - 2542)*(x + 539)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6*((-16)\/(-6) - (5 + -11)). Calculate the greatest common factor of v and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:44 PM and 10:44 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/12334462 and 47\/4858?\nAnswer: 12334462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10906870.\nAnswer: 2, 5, 13, 53, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s - 12. Give y(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 39\/(-26)*(-50)\/3. What is the remainder when -165*(205\/j - 9) is divided by 35?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 203 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -103 + 61. Let u = d - -48. Suppose 2*a - u*a = -1120. Calculate the greatest common factor of a and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85*s - 120*s - 14592 = -149*s for s.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1129261 + -13870657. Let g = -15336614 - 10163304. Let k = g - q. Round k to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 - 6. Let z be 8\/15 + (-2)\/5. Which is the nearest to 0?  (a) z  (b) -0.3  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 75 divide 1056393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -100, -103, -114, -139, -184, -255, -358, -499?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 44289 and 5344983.\nAnswer: 101554677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -26b1a3 + 59?\nAnswer: -26b146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -366*z**3 + 671*z**4 - 24*z - 254*z**2 + 147*z**5 - 734*z**4 + 74*z**2 = 0 for z.\nAnswer: -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16028, 35445, 54862, 74279, 93696?\nAnswer: 113113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-36)\/15 + (-132)\/(-275)*55\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.67 and 16999.\nAnswer: -11389.33","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 722 - 42?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 4*l, 3*l = -4*m - 23 - 12. Let v be (-6)\/(-30) + (-14)\/m. Solve 3*d - v = -2*g - 4, 0 = 3*g + 4*d + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*((sqrt(99) - (2*sqrt(99) + sqrt(99))) + sqrt(99)) + (3 + sqrt(99)*1 - sqrt(99)))**2 - (sqrt(176) + 0 - 6*sqrt(176))**2)*1*-1.\nAnswer: 54*sqrt(11) + 3500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -129.52523 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 154672483, 154672485, 154672487, 154672489?\nAnswer: 154672491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1905938*n**2*w**2 - 2*n**2*w - 23*n**2 + 8*n*w**2 - n*w - 13801*n - 2*w - 2 wrt w.\nAnswer: 3811876*n**2 + 16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -43 (base 13) in base 8?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/(-6) - 28\/(-6). Suppose n - a*f = -5 - 11, n + 4 = f. Suppose s - 3 = -n*s. Put s, -1, 2 in descending order.\nAnswer: s, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 52 + -37. Let f(i) = -i**2 - i + 3. Let r be f(0). Let l(j) = j**3 - 3*j + 8. Calculate the remainder when l(r) is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of -2\/3*k**3 + 0 - 1\/20*k**5 + 0*k**4 + 3*k + 0*k**2. What is the second derivative of d(b) wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**2 - 12*i + 38. Let s = 586 - 581. Let t be n(s). Solve -4*q - 4*j + t*j = -13, 0 = -q + 2*j + 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -8226535, -16453078, -24679621?\n\"Answer: -8226543*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 12 = -3*l, 2*l - 4*m - 6 = 2. Suppose 0 = l*v - 7 - 1. Let u be 379999 + 3 + v*-1. What is u rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -8037798*s**2 + 85166376 wrt s?\nAnswer: -16075596*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -10 - 6. Suppose -10 = -4*s - s - z, -i*s - 1 = -z. Let v(g) = g**2 - 1. Let y(x) = 5*x**2 - x - 8. Let t(d) = s*y(d) - 6*v(d). Calculate t(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5742 in -1\/2, -2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35930*d - 3603396 = -35942*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 736 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15, 37, 67, 99, 127, 145?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15118 + -15118. Is c less than or equal to 109.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a + 5*q - 14, 0*a - q = -2*a. Let h be (7 - 5)*a*8. Suppose 5*x = -h + 141. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(1\/2)\/(n**(-2)\/n))\/((n\/(n\/n**2))\/n*n)**(23\/5)*(n\/(n*(n*n**1\/n)\/n))**(-26)\/(n**1)**(-12) assuming n is positive.\nAnswer: n**(63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 3 h when four letters picked without replacement from hlzfhkhzhflzhkk.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 + -24 + (12 + -2 - (-62 - -63)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 - 52. Let v = u + 49. Which is the closest to 4?  (a) 5  (b) v  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:57 AM and 7:36 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(190) + sqrt(190) + (sqrt(190)*3 - sqrt(190)) + sqrt(190) + sqrt(190) - sqrt(190))*4)\/(sqrt(10) - sqrt(40)\/(sqrt(28)\/sqrt(7) + sqrt(4))) + -5.\nAnswer: -5 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -107 + 111. Solve -n*f - 3 = 2*h - 17, -5*h - 3*f + 28 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1793422948?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-2\/87)\/(p\/((p*p\/(((p**22*p)\/p)\/p*p))\/p)*p*p)*(p*p**18)**18 assuming p is positive.\nAnswer: p**(27664\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 36977511, 147910038, 332797583, 591640146, 924437727, 1331190326, 1811897943?\nAnswer: 2366560578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 12553963 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 0 - 5*y + 4 + 2. Suppose 0*f - 3*f = -p + 43, -3*f = 2*p - 113. Let i(n) = 3*n - p + 57 - 7*n. Determine 4*i(b) - 3*q(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 491113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1633 - -19601\/12. Let y(j) be the second derivative of 0*j**3 + 2*j**2 + 0 - j - g*j**4. Find the first derivative of y(z) wrt z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 * 7069023\nAnswer: -49483161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:06 AM and 9:59 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 4 - 2)*((-2 + 1 + 0)*(-4*k**2 + 3*k**2 + 0*k**2) - 2*k**2 + 3*k**2 + k**2 - 3*k**2 + 5*k**2 - 4*k**2) in the form v + t*k**2 + x*k and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1027311.4 - 0.1.\nAnswer: 1027311.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -123021 (base 4) in base 13?\nAnswer: -a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the second derivative of 0*k**2 + 1\/90*k**6 - 2\/45*k**5 + 7 + 1\/27*k**3 + 1\/36*k**4 - k. Factor l(f).\nAnswer: f*(f - 2)*(f - 1)*(3*f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {q: 11, m: 5}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-4 + sqrt(612) + 1 + sqrt(612)).\nAnswer: -12*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2 - 5*v - 1. Let w be x(-3). Solve 15 + 3 = w*s - y, 5*s - 4*y = 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -941, -886, -841, -812, -805?\nAnswer: -826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 46 and 5253108.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a - 1. Suppose -8*c - 229 + 325 = 0. Suppose 3*n + 2 + 9 = -2*m, 5*m - 5 = -n. Let b(r) = -m*r + 0*r - 4 + 6. What is c*q(z) + 5*b(z)?\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -790.66 and -1647.\nAnswer: 1302217.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 203544?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1102202112120 - -12?\nAnswer: -1102202112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24 (base 9) to base 7.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65 + 17 = 8*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 51 + -50.34. Let h = u + -8.96. Let q = -8 - h. What is the third smallest value in -5, 0.5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 81 and -29 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:04 PM and 10:51 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = 0, -43*r + 5*a - 60 = -48*r. Let l(h) = -h**3 + 11*h**2 + 16*h - 40. Calculate l(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the second derivative of -j**4\/12 + j**3\/2 + 2*j. Let b be x(2). Does 3 divide ((-25)\/b)\/(-5)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in twenty-one quarters of a micrometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*w - 88*w + 461125 = -220234. What are the prime factors of w?\nAnswer: 7, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 453458 divided by -66?\nAnswer: -226729\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 14*m - 221*m - 690 - 1794 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(162) + -1*sqrt(162) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 + 8*l**2 - l - 7. Let q be b(-8). Let t(x) = 10*x**3 + 2*x**2 - 1. Let v be t(q). Let d = v - 6. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 122211220 + 120001?\nAnswer: 200101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are -1715.39 and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -6*h - 13. Suppose 0 = 2*j - 2*p + 12, -4*j + 3*j = 2*p + 21. Let w be o(j). Let g = w - 45. Solve 0*r + 3*r + g = 4*k, 4*k + 2*r - 28 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 276*i**3 - 2*i**2 + 8*i - 7. Let v(a) = 553*a**3 - 5*a**2 + 18*a - 15. Calculate 9*h(z) - 4*v(z).\nAnswer: 272*z**3 + 2*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -29951 - -29956. Suppose -2*f = -0*f. Solve -5*t = -5*y, h*t = 3*y - f*y + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**2 + 3*r - 2. Let q(n) = 3*n**2 + 0*n + 7 - 6*n - 3*n. Let c be (-6*24\/54)\/(8\/(-6)). Let b = 13 - 6. Give b*s(k) + c*q(k).\nAnswer: -k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 15*f**2 + 4*f + 5. Let u be q(4). Find the common denominator of ((-1)\/(-7))\/((-6)\/u) and (4\/10)\/((-32)\/(-505)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 + 2)\/((-2)\/(-3)). Let o be (x\/2)\/(9\/24). Suppose 0 = -5*u + 4*z + 161 - 7, -3*u - o*z = -118. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j - 4. Let b be l(-12). Let n(c) = 0 + 3 + 93*c**2 + 8 + b*c - 92*c**2. What are the prime factors of n(-11)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(4\/3))**46\/(s**(-12)\/s**(-33)))**31 assuming s is positive.\nAnswer: s**(3751\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2143 - -2142.8. Which is the closest to -2\/7?  (a) -1\/9  (b) 13  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -41900 by -1676.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 3 o when four letters picked without replacement from {o: 3, z: 17}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 166*x + 336 = -191*x + 333*x for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21216 is divided by 10467?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3650199 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 2*i - 4 = 5*a, -4*i - a + 12 = 0. What is the second derivative of 5*y**i - 7*y**4 + 19*y + 8*y**4 wrt y?\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 7, -197, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -1249*x - 3033*x - 11169*x in the form i*x + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 422 is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 77\nAnswer: 5\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3 + 0 + p)*(4*p**3 + 0*p**3 - p**3)*(-p + 2*p - 2*p).\nAnswer: -3*p**5 - 9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 172 (base 8) to base 4\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4273 * -10.4.\nAnswer: 44439.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/713 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -7*x. Let a(r) = -20*r. Suppose -4*g + 2*g = -3*q + 11, 4 = -4*g. Determine q*a(c) - 8*j(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, b: 3, k: 2, i: 1, a: 3, o: 1}. What is prob of picking 1 h and 2 a?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**2 - 6*k - 7. Let l be s(-8). Let j = 38 + l. Solve -2*d = -6, 0*d + j = 3*a + 3*d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 39 + -34. Let u(f) be the third derivative of 0*f + 2\/9*f**3 - 2*f**2 - 1\/36*f**4 - 1\/90*f**d + 0. Let u(i) = 0. What is i?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -1736*w**2 + 16*w + 17. Let b(p) = -1735*p**2 + 12*p + 13. Give 4*b(r) - 3*z(r).\nAnswer: -1732*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 9177 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 5343, 495, -4365, -9243, -14145, -19077?\n\"Answer: -y**3 - 4841*y + 10185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in thirty-four fifths of a gram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 69*c**3*f*u - 5*c**3*f + 44*c**3*u + 77*c**3 + 10*c**2*f*u + 398*c*f*u + 5*c*f - 146*f wrt c?\nAnswer: 414*f*u - 30*f + 264*u + 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1098 and 253480437.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 906775?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4058 or -4059?\nAnswer: -4058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -81*j + 133. What is the units digit of v(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 3, 27, 4, -1, -3, 1172 in decreasing order.\nAnswer: 1172, 27, 4, 3, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the third derivative of 2*s**7\/945 + s**6\/30 - 34*s**5\/135 + 4*s**4\/9 + 34*s**2 - 8*s. Factor b(j).\nAnswer: 4*j*(j - 2)*(j - 1)*(j + 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*v - 8 = -15*v. Sort -1, 5, v in descending order.\nAnswer: 5, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -2*l**2 + 29*l - 10. Let q be v(14). Suppose 2*j - 5*r = -3*j, 5*j = -4*r + 45. Suppose -57 = -4*o - j*z, o - 19 = -q*z + 9. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14131 + 22047. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 61.4687 + -0.07.\nAnswer: 61.3987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (445 + 794 - 564)*(2 - 2 + 4*f**3).\nAnswer: 2700*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 183303364 to the power of 1\/3, to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6271035*y**4 + 41752723*y wrt y.\nAnswer: 75252420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -88*z. Let i(m) = -11*m. Give -33*i(t) + 4*y(t).\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + b = -15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/3 - 52\/(-12). Suppose p - 8 = 2*g + 6, 5*p + y*g = 14. Let a = 16 - p. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sell when four letters picked without replacement from {l: 3, e: 2, s: 3, n: 1, q: 1, d: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.3 and -143004.\nAnswer: -185905.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-9)*v*v**11)\/(v**(-10)\/((v*v**(-2\/5))\/v)) assuming v is positive.\nAnswer: v**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2314527828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 93570 + -1?\nAnswer: 93569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1535212 (base 8) in base 3?\nAnswer: 211101220020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + h = -h, g - 5*h + 12 = 0. Let i(q) = -2*q - 4 + 4 - 2 - g*q. Let j be (2\/3)\/((-1)\/3). Give i(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6.36 + 6. Let l = v + -0.04. Let g = 0.4 + l. Which is the closest to g?  (a) 1\/4  (b) -1  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggsggvsgsvgvvgsgsv. Give prob of picking 4 s.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:28 PM and 12:47 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -134 - -131. Let z = 8247\/4 + -2061. Sort z, 23, y in descending order.\nAnswer: 23, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 657228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 479950 is divided by 93.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18349195.\nAnswer: 5, 3669839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -118 + 122. Suppose 0 = -p + 3*p - 20. Solve -f - v*f + 3*i = -10, -f = -3*i + p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16 - 8 + 4)*(-a + a - a - 2).\nAnswer: 20*a + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -4*v**2 - v**2 + 6*v**2 - 5*v. What is b(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -4  (b) 0  (c) 0.3  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/387 or -6\/10769?\nAnswer: -2\/387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(120)\/sqrt(3) + -1*sqrt(4840))*6)\/((sqrt(24) - sqrt(96)\/sqrt(4)*-3)\/((sqrt(3) - (sqrt(27) + sqrt(3)))*6)).\nAnswer: 405*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the first derivative of -t**4\/12 + 9*t**2\/2 - 63*t - 71. Let q(a) be the first derivative of g(a). Calculate q(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.7 - 0.3. Let k be (-9 - 1143\/(-189)) + (-328)\/(-123). What is the nearest to -5 in k, 1, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4960635*5\nAnswer: -24803175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the third derivative of -571*i**6\/40 - 96*i**3 + 626*i**2 - 2. What is the first derivative of v(z) wrt z?\nAnswer: -5139*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 27 and 0.40071?\nAnswer: 10.81917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 423*g - 66437. What is c(157)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-8*(-1)\/5)\/((-352)\/(-21120)). Calculate the highest common divisor of 162 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 4*b + 2*b. Suppose 5*k - 4*s = -1, -5*k + 2*s - 1 + 8 = b. Is 42\/11 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**2 - 9*l - 3. Let y be 40\/(-6) + (-6)\/(-9). Let z be n(y). What is the greatest common factor of z and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 214, -2, -6, -14, 4, -4 in descending order.\nAnswer: 214, 4, -2, -4, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-43 - (-43030)\/845)\/(5\/(-65))?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the first derivative of 13*u**3\/3 - 17*u**2\/2 - 181*u - 120. Let y(m) be the first derivative of t(m). Differentiate y(n) wrt n.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 385 is divided by 192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 92587171633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 31*n**2 - 3 - 27*n**2 + 3*n + 22*n**2 + 6*n. Let q(a) = -27*a**2 - 6*a + 2. Let d(k) = 2*j(k) + 3*q(k). Let b(g) = 4*g**2. Determine b(d(u)).\nAnswer: 3364*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = 2*y + n + 3*n, -5*n = 4*y + 56. Let x be 2\/7 - 10\/y. Let r be (x - 1) + (-2)\/9. Which is the closest to -2\/5?  (a) r  (b) 0.4  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 181166 is divided by 90431?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/(-45) - -3 - 3. Let s = -4.2 + 270.2. Let g = s - 262. What is the smallest value in -3, 1, g, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8 - 4*30\/24. Solve 0*o - m*s - 10 = -o, s = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 22*p. Let a(x) = 3*x**2 + 11*x - 35. Let g be a(7). Let i = g + -190. Calculate m(i).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 112680 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 1995*v**2 + 29*v + 13. Is u(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30774 - 0?\nAnswer: -30774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 - 6*j - 1. Let n be c(7). Let f(z) = -z**2 + 7*z - 2. Let v be f(n). What is the units digit of v\/5*(-30)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 a when two letters picked without replacement from {q: 2, g: 8, w: 1, j: 1, a: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 362 = 386. What is the smallest common multiple of q and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 469394*c. Let f(g) = -33*g. What is f(p(d))?\nAnswer: -15490002*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 28451*f**3 + 28425 wrt f?\nAnswer: 85353*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (140\/(-2268))\/((-4)\/(-24)*-15 - 0)?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add 1 and -1282118401819.\nAnswer: -1282118401818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**2 + 6*t + 1. Suppose 3*r + i = -0*r + 8, -r + 3*i = 4. Suppose 0*j + b = -4*j - 33, -5*b = r*j + 39. What is the units digit of p(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 946859 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*m - 228*m - 203*m - 3978 = 0 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4151977189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 4*g**2. Let s(k) = 4*k**2 - 7*k + 7. Let c(l) = -2 + 5*l + l**2 - 2*l**2 - l - 2*l. Let p(h) = -21*c(h) - 6*s(h). What is p(z(x))?\nAnswer: -48*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33174412 divided by -2788.\nAnswer: -11899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -4*q**2 - 4 + 3 - q**3 + 2. Let v(w) = 2*w - 10. Let m be v(8). Suppose 0 = 13*s - 11*s + m. Give u(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112 = 11*r - 3*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -370 + 615. Let o be (-1)\/(-7) + 7\/(k\/170). Let r(g) = 8*g - 37. Let b be r(o). Solve -b*f - 1 - 2 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4095749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i + 2*x - 7812 + 635, -2*i + 4782 = 4*x. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 divide 1533775560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 39627 and 882?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q**2 + 13*q - 69. What are the prime factors of l(-19)?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 486 is divided by 62?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -26105 (base 9) to base 16\nAnswer: -44ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**3 + y + 3. Let h(a) be the second derivative of 1\/12*a**4 + 0 - 1\/2*a**2 + 75*a - 1\/6*a**3. Give h(n) + p(n).\nAnswer: -n**3 + n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/8*4)\/(20\/(-10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-195)\/273*((-189658)\/(-95))\/(-31)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 5*c. Let z(m) = m. Let x(b) = w(b) - 10*z(b). Let v(o) = 34*o**2. Give x(v(p)).\nAnswer: -170*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 96\/107 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -5 - ((2 - 5) + 2). Let g = 8 + c. What is the first derivative of -2*j**2 - 2 - j**g + 2*j**2 wrt j?\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -684 divided by 6\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 468 + -2328\/5. Factor -9\/5*x**5 - 3\/5*x**3 + 0 + d*x**4 + 0*x**2 + 0*x.\nAnswer: -3*x**3*(x - 1)*(3*x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2667 + 0*n + 5*n + 95 - 9*n in the form o + z*n and give o.\nAnswer: -2572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 185133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes after 9:33 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ruve when four letters picked without replacement from vvvievevvvrvuvvivi?\nAnswer: 11\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -453, -7, -16, -2, 2 in increasing order.\nAnswer: -453, -16, -7, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -15, -6, -3 in descending order.\nAnswer: -3, -5, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/28 of a week in minutes?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 658494 and 774?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 24*n**2 + 6*n - 7. What are the prime factors of y(1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*n + n - 3*n + n - 3*n + n + n - 4*n + n + (1 + 4 - 3)*(-7*n + 3*n + 2*n) - 2*n + 3*n + 0*n - 4*n - 2*n + 4*n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21748, 5, 3, -3 in increasing order.\nAnswer: -3, 3, 5, 21748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -105 + 204. Let s(c) = -3*c + 1. Let a be -3*((-16)\/6)\/(-1). Calculate the remainder when p is divided by s(a).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9430 - 9425. Let q(z) be the second derivative of -1\/2*z**2 - u*z + 0 - 1\/6*z**3. Calculate q(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -23*j**2 + 11*j + 5. Let n be i(5). Let s = 795 + n. Is 28 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 120553.\nAnswer: 29, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 10355 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 52 + -52. Suppose p = d, d - 1899 = -3*j - 0*d. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 966462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 28  (b) -1  (c) -0.4  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9165?\nAnswer: 3, 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 4 = 0, -2*p = -3*p - 4*t - 14. Let z = p - -11. Let m be (-54)\/10 - 36\/(-90). Put z, m, 2 in descending order.\nAnswer: z, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**2 - 6868*g + 55002. Calculate i(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, y: 1, k: 1, r: 2}. Give prob of sequence ry.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.45 + -0.44. Let t = -139.01 + j. Let o = t + 138.9605. What is o rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**3 + 18*t**2 + 36*t + 88. Let a be c(20). Solve 0*m + 32 = a*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3593 + 3593.01. Sort -0.04, -1\/2, -5, x, -1 in descending order.\nAnswer: x, -0.04, -1\/2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -11, -4, -0.7, 1497, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -432614988 by 108153747.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000152533914 to 7 dps.\nAnswer: -0.0001525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 147635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5 + 3 + -1 - ((-12)\/2)\/(-3). Solve 6*n + t + 13 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*f - 15*f + 9*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1405*m + 1798 wrt m.\nAnswer: -1405","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 286680 is divided by 1886.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21)*2*-3)\/(sqrt(48)*6).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -p + 2, -3*p - 92 = -c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jowo when four letters picked without replacement from {s: 2, j: 5, w: 4, o: 4}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -2*s - 3. Let r(b) = 6*b + 5 - 3*b + 0*b. Let q(z) = -419*z + 414. Let x be q(1). Let k(g) = x*f(g) - 3*r(g). Let y(c) = -6*c**2. Determine y(k(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 2 = 0, 2*p + 75 = -2*n + 803. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -75 + 75. Suppose h = -11*j + 3834 + 973. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3138.\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(80) + -3*sqrt(80) + 0 + (sqrt(80) - -6*sqrt(80)*1) + sqrt(80) + -3)**2.\nAnswer: -144*sqrt(5) + 2889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(1 + sqrt(19) + (-1*sqrt(76)\/sqrt(4))**2 + 4 + (sqrt(57) + (sqrt(57) + sqrt(285)\/sqrt(5) - sqrt(57)))\/sqrt(3) + (4*sqrt(152))\/sqrt(8)).\nAnswer: -21*sqrt(19) - 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*v**3 - 3*v**3 - 2*v**3 + 6*v**3 + 3*v**3.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*k**2 + 14*k**4 - 2*k + 2 + 0*k - 10*k**4 - k**3 in the form f*k**4 + a + s*k**2 + d*k + o*k**3 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n + 46*n = -116*n + 1749 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**2 + 140*x - 86. What are the prime factors of v(31)?\nAnswer: 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/52*-2 - (-304864)\/17693?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 233022144?\nAnswer: 2, 3, 1213657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -7, -24, -49, -82, -123, -172, -229?\n\"Answer: -4*a**2 - 5*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 137*q - 16. Let m(u) = -138*u + 17. Let n(z) = -2*m(z) - 3*w(z). Is n(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o + 7. Let s(y) = y**3 + 10*y**2 + 9*y - 4. Let z be s(-9). Let w be u(z). Solve 2*b - 1 = -w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/((-32)\/(-206)) + 2\/8. Suppose -8527 - 18981 = -a*u. Is u a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30.67897 rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v + 30 = -v. Suppose 3*a + 5*x = v*a - 29, -2*a - 3*x + 13 = 0. What is the greatest common factor of a and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1*-12*(-3)\/9. Suppose s*g = 4*z + 60, -3*g + 2*g + 5*z + 19 = 0. Calculate the remainder when g is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 8*p - 390. Let x = -652\/5 + p. Which is the smallest value?  (a) x  (b) 5  (c) 0.2  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/11 and (-56470)\/5500 - -9 - (-78)\/65.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2774 is divided by 346.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.6 + -2.6. Let v = -161762\/7 + 23156. Let y = v + -47. What is the second smallest value in y, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 - 1442487?\nAnswer: -1442487.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ztotttzvovtt. Give prob of picking 2 t, 1 z, and 1 v.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1, 1, 7, 19, 37, 61?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3504)\/(-2920)*((-48)\/9)\/(-4).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkn when three letters picked without replacement from unnnkkn?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.152 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(((-174)\/36)\/29)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(720))*-2*4.\nAnswer: -96*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - b = 1391, b + 3*b - 552 = 2*g. Let z = g + 389. Is 22 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 241*p**2 - 2*p - 63 wrt p.\nAnswer: 482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (62 - 78)*(-60)\/40\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2*((-1)\/2 - 3). Let o = c - 2. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 0*o = 5*o - 84, -88 = -3*f + 2*o. Let i = -14 + 19. Suppose 3*a - 4*b + 0 = 5, 2 = -a + 5*b. Solve -n + 5*r - f + 9 = 0, i*n + 5 = a*r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/3516 and 55\/4.\nAnswer: 3516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 - 10. Let p(x) = 8*x**2 + 81*x + 7. Let m be p(-10). Which is the nearest to s?  (a) 1  (b) m  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -3. Let y(a) = -a - 7. Let h(k) = -7*c(k) + 3*y(k). Let r(l) = -6*l. What is h(r(m))?\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l\/(l**(2\/5)*l)*l**(-7)\/l*l*l*l*l*l**(-1\/12)*l*l**(-8)\/l)**(-14))**(1\/18) assuming l is positive.\nAnswer: l**(4823\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -125 - -124.5. Sort 0, s, 1, -6 in increasing order.\nAnswer: -6, s, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 356979147 to the nearest integer?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 1, k: 5, w: 1, n: 3, z: 5}. Give prob of sequence znpk.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rafadffffrwa. What is prob of picking 1 d and 2 f?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 7*g**3 - 4. Let s(v) = -27*v**3 + 6*v**2 + 21. Let r(f) = -81*f**3 + 17*f**2 + 62. Let k(x) = 6*r(x) - 17*s(x). What is -15*h(a) - 4*k(a)?\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 9 = -3*n, 3*n - 12 = -2*t - t. Let p(m) = m**2 + 3*m**2 - t*m**2 - 4. Determine p(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 28161 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-32)\/12)\/((-14)\/(-21))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes before 5:39 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 302 - 5*d + d**3 + 3*d**2 + 17*d - 13*d + 534. What are the prime factors of j(0)?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 - (5 + (-6 - -4) + -6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 146141025?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1559601097?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 80172.\nAnswer: 2, 3, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(168\/54)*(-434)\/93)\/25?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, o: 2, k: 4, j: 12}. Give prob of picking 1 o and 1 k.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k + 16, -h = -0*h - 2*k - 68. Suppose u + 2*u + c - h = 0, -u - c = -28. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1080514 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.2 + -0.1. Let u = 7138.7 + -7139. What is the closest to a in 2\/3, -4\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 482713454 to the power of 1\/2, to the nearest integer?\nAnswer: 21971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h and 1 m when four letters picked without replacement from {m: 5, h: 5, s: 2}.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 817437406 to the nearest integer?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 35558366 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5305339?\nAnswer: 13, 59, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*i - 3 + 3)*(5*i + 2*i + 4*i) as r + c*i**2 + f*i and give c.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -42435.000029319 - -42435. Round k to six decimal places.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of (-14)\/(-2) - (-18152 + -24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 115, 166, 241, 352, 511, 730, 1021, 1396?\nAnswer: 1867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*v = 31 + 11. Let z(u) = u**2 + 4*u. What is z(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 + -12. List the prime factors of -5*(-12)\/(-45)*n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 112\/(-32)*(1 + -11). Let a = p + -104\/3. Which is bigger: 5 or a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 34 and 212.\nAnswer: 3604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-36 - (24 - (29 + -8))) + -23\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -4, -1, 2, 0.3, 2\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (131\/25 - (-369 - -374))*70\/8.\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3752, 5271, 7800, 11339, 15888?\nAnswer: 21447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 47405 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -bc (base 14) to base 12.\nAnswer: -11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t**4 - 33*t**3 - 54*t**2 + 324*t + 648 = 0. Calculate t.\nAnswer: -6, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -8*v**2 - 16*v - 14. Let x(y) = -4*y**2 - 7*y - 7. Determine 4*t(f) - 9*x(f).\nAnswer: 4*f**2 - f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**4 - 3*b**3 + 2*b**2 - b + 1. Let k(s) = -9*s**3 + 247*s**2 - 848*s + 3. Let i(j) = k(j) - 3*v(j). Find the second derivative of i(z) wrt z.\nAnswer: 36*z**2 + 482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*i - 2728 = -6*i. Calculate the greatest common factor of i and 2816.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 3*m + 5*m + 5 - 3*m - 2 - m**2. Let o = 70 - 72. Let u be o\/(-1*2\/5). Calculate j(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -470*0.1\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 25.66 - 0.96. Let w = r + -25. Which is the nearest to 0?  (a) 1\/4  (b) w  (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 3) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 22\/(-72) + -17 + (-1136)\/(-64). What is the smallest value in 1\/4, -3, -0.06, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the first derivative of -2*y**6\/15 - 52*y**5\/25 - 49*y**4\/5 - 316*y**3\/15 - 116*y**2\/5 - 64*y\/5 + 143. Solve k(d) = 0 for d.\nAnswer: -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -7 + 9 + (-2 - -14 - 23).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -34032080 by -20.\nAnswer: 1701604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**1\/(s*s*(s**4\/s)\/s))**(-15)*(s**(-2\/7)*s**2)\/(s**(-3\/2)*s**(3\/7)) assuming s is positive.\nAnswer: s**(669\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 3*v = 5 - 20, -3*w - 4*v = -6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -60915\/36223 - 1\/6586. Let m be (-2385)\/(8\/((-48)\/9)). What is the common denominator of ((-4)\/10)\/((-24)\/m) and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 5*f + 110, -5*f + 33 - 122 = 2*q. Let t be (f\/(152\/48))\/(-10). Factor 0*v**4 - 6\/5*v**3 + 0 + t*v + 0*v**2 + 3\/5*v**5.\nAnswer: 3*v*(v - 1)**2*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2640821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -17602146, -17602131, -17602106, -17602071, -17602026, -17601971, -17601906?\n\"Answer: 5*w**2 - 17602151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -1  (b) 0.5  (c) 5\/73032\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = -13*d - 84. Let g(i) = -i**3 - 11*i**2 - 11*i + 8. What is the tens digit of g(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.292 and -4.\nAnswer: -1.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -2*y + 2. Let p(k) = k**2 + 4*k - 4. Suppose -3*d + 0 + 9 = 0. Suppose 3*l + 2*z = -l + 16, -d*l = 3*z - 9. Give l*h(u) + 3*p(u).\nAnswer: 3*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.293 less than -0.215062757?\nAnswer: 0.077937243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 11770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15452?\nAnswer: 2, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1154195 divided by 1715?\nAnswer: -673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 304 is divided by 36.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 18556445 and 950.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, 0.14, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.26 - -0.74. Suppose -2*u = 5*v + 324, 725 - 25 = -4*u + 3*v. Let j = u + 1546\/9. Which is smaller: c or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**3 - 6*m**2 - 8*m + 89. Determine h(7).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1836.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3586 + 202 = -24*o. Solve o*l - 2 = 143*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the third derivative of -d**4\/24 + 10*d**3\/3 - 17*d**2. Let f be c(10). Suppose f*z = 7*z + 3*q + 603, 0 = -2*q + 6. List the prime factors of z.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 943 - 956 - -50*2?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 122*q + 125*q - 53*q + 13230 = 47*q for q.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s + 4*s - 3*s - s. Let y(q) = -q**3 - 11*q**2 + q + 19. Let d be y(-11). Let r be i(d). Solve 0 = 4*n + 4 - r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11bf1 (base 16) to base 14\nAnswer: -1c6c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 21\/9 + (-1)\/3. Let z(u) = -u + u + s*u**2 - u**2. Let m(p) = 2*p**2. Give z(m(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**3 - r. Let t(k) = -3*k**3 - 8*k**2 + 15*k - 29. Let i(x) = -4*a(x) - t(x). Let v be i(5). Calculate the highest common divisor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the first derivative of 8*g**5\/9 - 161*g**4\/18 + 218*g**3\/9 - 8*g**2\/9 - 32*g\/9 + 1170. What is z in k(z) = 0?\nAnswer: -1\/5, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2227 = -15*p + 2452 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1725012?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*t**5\/4 - 43899*t**4\/4 - 69328233*t**3\/4 - 23512715317*t**2\/4 - 2136373785*t\/2 = 0. Calculate t.\nAnswer: -637, -2\/11, 0, 5265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 232519 is divided by 3910.\nAnswer: 1829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*a + 1064*y = 1062*y + 182, -5*y = -5*a - 30 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 570583584?\nAnswer: 2, 3, 29, 53, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 715 - -247?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the first derivative of 4603*h**2 + 9879*h + 1734. What is the derivative of m(t) wrt t?\nAnswer: 9206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/81 in 3, -1\/16, -3?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 8\/30*5\/10. Let h = 12522 + -12522.15. Sort h, u, 3.\nAnswer: h, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -129815024 by -292.\nAnswer: 444572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-5) + 681\/15. Suppose 13*x - 1325 = 716. Let b = x - 148. What is the highest common factor of b and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*w + 1618*w**4 - 2*w**3 - 778*w**4 - 838*w**4 as g*w**2 + i + o*w + y*w**3 + v*w**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-3)\/(-4))\/((-1)\/(-4)). Suppose 5*l - 9 = m*v, l - 3*v - 9 = -3*l. Suppose 4*a = -6*a + 60. Solve -a + l = -3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1844*f - 1618*f + 26216 for f.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 + 12 - (-6)\/3. Suppose -13 = -7*q + v. Suppose -q*j + 7*j = -5*b + 115, -4*j - 3*b = -157. Calculate the highest common factor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -69\/44 - -20\/11. Let x be (5 - 11) + 4 - 832\/(-418). Let h = -189\/2090 + x. What is the nearest to v in 7\/2, 0.1, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z*z**0)**(-1\/50)\/(z\/(z*z**(-1)))**(-2\/35)*((z*z**6)\/z)\/(z*((z*z\/(z\/z**(2\/9)))\/z)\/z)*z**(-2)*z*z**(-1) assuming z is positive.\nAnswer: z**(5977\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 284 divide 66659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 + 22. Let b(i) = -12*i**2 - i**2 - 12641 + 12650. Let k(m) = -1. Let z(y) = -3*y**2 + 8. Let d(o) = 6*k(o) + z(o). Give f*d(q) - 2*b(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a century in years?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 + 5 = 2*o, -2*d + 3*o + 13 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 279040.6ml?\nAnswer: 279.0406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -231834, -231712, -231504, -231204, -230806, -230304?\n\"Answer: a**3 + 37*a**2 + 4*a - 231876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, -10796, 0.2, -5, -2\/9 in ascending order.\nAnswer: -10796, -5, -2\/9, 1\/6, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16\/(-30))\/(20\/(-30))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((-320)\/(-48) - 12)*(2\/(-5))\/((-58)\/(-2610))\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = 5*w - 0*w + 3*n, -4*w + 14 = -2*n. Suppose -5*t - 2*s + 6*s + 27 = 0, -3*s = t + w. Solve -t*a = -2*h - 7, -3*h - 1 - 2 = -2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -138, -266, -394, -522, -650?\nAnswer: -778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9468665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3650000 = 7*q - 2*q. What is q rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve m = 4*x - 23, 2*m = 3*x - 24 + 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 87784802*y**3 - 263354349*y**3 + 87784773*y**3 + 87784777*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-4 + (sqrt(243) + -3 + -3 + sqrt(243))*4) + 5)**2.\nAnswer: -38448*sqrt(3) + 147889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -2 times 535\nAnswer: -1070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -114 + 42 = -23*t + 181. Let a(g) = -12*g + 5*g + 16 - 14*g. Let v(s) be the second derivative of -2*s**3\/3 + 3*s**2\/2 + 52*s. What is t*v(u) - 2*a(u)?\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.038 + -0.262. Which is the third smallest value?  (a) i  (b) 13  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10a519 (base 11) to base 16.\nAnswer: 2ab8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -14 - -38642364668\nAnswer: 38642364654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 38340.3929 rounded to the nearest 10?\nAnswer: 38340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(76)\/sqrt(4)*-1 + 0.\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 50\/189 and 121\/49792218.\nAnswer: 448129962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 23859.06872 rounded to the nearest 100?\nAnswer: 23900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 2*b + 22, 4*b + 0*b - 4 = 0. Suppose 4*s - 8*s = n. What are the prime factors of (-7)\/((-21)\/78) + s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3244261 times 0.1\nAnswer: 324426.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 297286368 and 9344?\nAnswer: 2336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9136011 and 26301?\nAnswer: 100496121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -68682, -276662, -623296, -1108584, -1732526, -2495122?\nAnswer: -3396372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2498858*-0.1.\nAnswer: 249885.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**2 + 13*a + 51. Let d(h) = 2*h - 1. Calculate -6*d(o) + u(o).\nAnswer: -o**2 + o + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 34  (b) 151  (c) 2  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -32 - -54. Let u = 74 - c. Suppose -b + u = b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 h when three letters picked without replacement from ahhhaaaaih.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -205 + 210 + 5*n + 25*n**3 - 28*n**3. Let d(c) = -3 - 2*c + 3*c + c**3 - 4*c. Calculate -5*d(w) - 3*u(w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g + 3*k - k - 10, -3*g = 3*k - 6. Solve g*p + 3*i = -6, -4*p - 3*i + i - 4 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and 45.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2, -5\/2, 0, 20\/9, -0.0421, 3\/38?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**2 - 8*y + 4. Let v be c(8). Suppose 7 = v*m - 5. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7493.82462 - -0.4.\nAnswer: 7494.22462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 452*t + 826 = 531*t - 280. What is the highest common factor of t and 5236?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + i = 5*m - 247, -3*i - 97 = -2*m. Is 25 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/7  (b) 71  (c) -32  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 399353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 375*t = 3152 - 5402 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7981*m + 214 + 177 + 7979*m to u*m + f and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -40547*c**4*f**2 + 2*c*f**2 + 2*c + 25632 wrt c?\nAnswer: -486564*c**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3954317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -181*h + 116*h + 249600 = 0. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -45958998 divided by 7659833.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2143533 + -10?\nAnswer: 2143523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 - 1. Let r be (1 - 0)*(2 - m). Let v be r*(-2 - -4)\/2. Put 0, 5, v in ascending order.\nAnswer: v, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 128 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1d3d - 5?\nAnswer: 1d38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -6*j - 7. Suppose 2*c + 2*c = -2*s + 92, -3*c - s + 70 = 0. Suppose 6*q = 2*q - c. List the prime factors of p(q).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -141 + 61 - -26 - (2 + -1)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1081403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 2*v = 228, 0 = 2*j - 2*v - v - 454. Suppose c - j = 2*l, -c - 676 = -4*c + 4*l. What is c rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 12400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 5*q**2 + 9*q + 70. Let w be 1\/(4*(-3)\/156). Does 42 divide j(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1090*u - 26604 - 16996 = 0 for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -2*x**2\/7 + 17950*x\/7 - 536700\/7 = 0.\nAnswer: 30, 8945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -23 - (35 + (3 - 37))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9 - -9. Let b = m + -2. Let q(h) be the first derivative of -h**4\/2 - 2*h**3\/3 + 3*h**2\/2 + 2*h + 1. Determine q(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 0*a - 4*a - 32 = 0, o - 28 = 5*a. What is the fourth smallest value in o, 24, -4, 0.5?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -97827*a**2 + 27594*a.\nAnswer: -195654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 154 and 418?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 234\/(-8) - (8 + 41\/(-4)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 226775 - 66671699\/294. Find the common denominator of g and -9\/140.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22012 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -82 + 87. Let y be (-3 - -1)\/(-1 + 2). Let q be y - (-2)\/(-2)*-2. What is the third biggest value in 4, q, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 + -178. Let n = 176.9 + z. Let w = 1\/3 - 0. Which is the nearest to n?  (a) w  (b) 0.4  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 84 and 1063671?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add -17158522 and 9.6.\nAnswer: -17158512.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 499 is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 5 = -d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14000 divided by 875?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65) + -6*(sqrt(65) - sqrt(65)*3) + sqrt(65))\/(sqrt(40)\/sqrt(8)*4).\nAnswer: 7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 97757, 97551, 97343, 97133, 96921, 96707?\n\"Answer: -v**2 - 203*v + 97961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 91278318.\nAnswer: 2, 3, 19, 800687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -7*z + 7. Let x(o) be the second derivative of -1\/2*o**3 + 3\/2*o**2 + 9*o + 0. Calculate -2*v(i) + 5*x(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g - 1 + 7*g**2 + g**3 - g - 6*g. Determine y(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 111 in -54, -5, -2\/9, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**2 - 589*w + 75428. What is x(401)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 32920 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the second derivative of 13*x**8\/6720 - x**7\/2520 - x**6\/180 + x**5\/40 + x**4\/12 + x. Let h(s) be the third derivative of r(s). Is h(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the third derivative of 40*w**2 + 0 - 1\/105*w**5 + 16\/21*w**3 + 0*w - 1\/6*w**4. Determine k, given that z(k) = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21807928 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 399*k + 41370. Determine o(-102).\nAnswer: 672","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -31*i**3 + 0*i + 13*i**3 - i + 17*i**3 - i**2 to the form f*i + g + h*i**2 + p*i**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 - 328404*r**3 + 0*r + 2*r + 328404*r**3 - 3*r**2 + r**4 in the form a*r + t + l*r**3 + b*r**4 + w*r**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -308 - -319. Suppose 0 = -p - 5, d + 2*p - 60 = -3*p. What is the remainder when d is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - 1 - (6 - 10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1769 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**4\/2 - 87*y**3\/2 + 585*y**2\/2 + 675*y\/2.\nAnswer: 3*y*(y - 15)**2*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 7*o**3 - 2*o**2 + 10*o + 10. Let c(z) = 13*z**3 - 3*z**2 + 18*z + 19. Let b(g) = -6*c(g) + 11*l(g). Give b(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 10790\/8 - (-42)\/(-56). Let p = 2799 - z. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 266*r + 1596. Let z be x(-6). Sort -7, -2, z, -5, -3 in increasing order.\nAnswer: -7, -5, -3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 21 + 1)*(-a + 13*a - a)*((-2 + 0 - 3)*(2 - 2 + 1) + (7 - 3 - 2)*(0 - 1 - 1) - 3 + 0 + 1).\nAnswer: 3025*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -2*s - 42 + 278, n - 106 = 3*s. What are the prime factors of n?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -10*v**2 + 4*v + 1. Let u(n) = -15*n**2 + 6*n + 2. Let i(m) = 7*f(m) - 5*u(m). Let j(y) = 14*y**2 - 6*y - 9. What is -8*i(w) + 3*j(w)?\nAnswer: 2*w**2 - 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eqkweqkwwwqw. What is prob of sequence ewew?\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -h**6 + 8408972*h**4 + 14*h**3 + 2*h**2 - 2824056*h + 6 wrt h.\nAnswer: -120*h**3 + 201815328*h + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288) - -3*3*sqrt(288) - (sqrt(288) + -1 + 0))**2 - (sqrt(16)\/(3*sqrt(8)) + sqrt(32) + sqrt(128)\/sqrt(4) + 4).\nAnswer: 623*sqrt(2)\/3 + 23325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -7*6*(-3)\/42. Sort i, -1, -5 in decreasing order.\nAnswer: i, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3315 and 306.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/272 and 3\/7072.\nAnswer: 7072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/19, 1177, -1\/9?\nAnswer: 1177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 24  (b) 2  (c) -15  (d) 95  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -423 - 10051?\nAnswer: -10474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -5*h**3 + 66*h**2 - 4*h - 2. Let m(a) = 26*a**3 - 331*a**2 + 20*a + 11. Calculate -2*m(j) - 11*y(j).\nAnswer: 3*j**3 - 64*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 81.75606g to micrograms.\nAnswer: 81756060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 276 and 552.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.19 - 2.71630905?\nAnswer: -2.90630905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 3  (b) -0.6  (c) 1\/77  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = 4*t - 12*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 3*j**2 + 6*j + 6. Let d = 14 + -16. Calculate the lowest common multiple of g(d) and 44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the first derivative of -2*g**2 - 9*g + 1. Let x be (1\/(-2))\/((-1)\/8). Let r(d) = -x*d + 15 + 10*d - 6 + 5. Determine 8*p(w) + 5*r(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/(-15) + 3362\/(-30). Let r = c - -583\/3. Let p = r - 82. What is the second smallest value in 2\/11, -2\/19, p?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 11644537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-56)\/252 + (-47)\/(-9). Suppose 0 = 3*m - 3, k*p - 5*m - 474 - 606 = 0. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 8679*g + 26028. Calculate c(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -731*o**3 - 8*o**2 + 4*o - 4. Let t(a) = -3*a**3 - 2*a**2 + a - 1. Calculate g(s) - 4*t(s).\nAnswer: -719*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*f**2 - 37075550*f + 68729820390125 = 0. Calculate f.\nAnswer: 3707555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15539 + -12955. Is 57 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18.836 - 19. Let q = z - 0.174. Let x = q - -0.205. Round x to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:05 AM and 1:39 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:56 AM and 4:34 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.5, 5, -0.4, 0.06, -1\/5.\nAnswer: -1.5, -0.4, -1\/5, 0.06, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 30663639 to the nearest integer?\nAnswer: 5537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(66)\/(sqrt(6)*-3)*5.\nAnswer: 10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -1528.26 to the nearest ten.\nAnswer: -1530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-625)\/(-25))\/50)\/((-2)\/76).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1234862 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-15)*f*f)\/(f*f*f**(-2\/9)) assuming f is positive.\nAnswer: f**(-133\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that n**5 - 77*n**4 - 2635*n**3 - 4555*n**2 + 12834*n + 14832 = 0.\nAnswer: -24, -3, -1, 2, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 3*u**2 - 7*u. Let h be o(3). Let t(r) = -3*r + 21. What are the prime factors of t(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 49603 (base 11) to base 12\nAnswer: 352b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -2*i - 2. Let x be y(3). Let s = -1 - x. Let w(g) = 1836*g**2 + 5*g + 1. Let b be w(s). Round b to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 141 + -135. Calculate the least common multiple of (-14)\/(-84) - (-71)\/p*1 and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(20)*-3)\/sqrt(4) + sqrt(5))*-6*4.\nAnswer: -192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -499b1 (base 14) to base 3.\nAnswer: -100011022000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*p - 111 = -12*p. List the prime factors of p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 10) + (-617 - -621).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.45971 rounded to two decimal places?\nAnswer: 2.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1.7104413 months?\nAnswer: 0.142536775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1894 + 1914. What is the third biggest value in t, 3, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2. Let h be (-36)\/(-15) + (-6)\/15. Let w(t) be the third derivative of 0*t**4 + 0*t + t**h + 0*t**3 - 1\/60*t**5 + 0. Give w(v(a)).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = 130 - 154. Let r(m) = 2*m**2 - 10*m - 4. Let t be r(5). Suppose 3*b = -7*d + 10*d, 16 = 4*b. Put d, y, 5, t in ascending order.\nAnswer: t, d, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 84.8 - 18.3. Let o = s - 67. Which is the biggest value?  (a) o  (b) 4\/17  (c) -0.2  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -38*v**3 - 2066436*v**2 + 2283998*v - 217524 = 0. What is v?\nAnswer: -54381, 2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 24\/60*1\/(1\/(-10)). Let x(k) = k**2 - 17. Let j be x(5). Let f be 1\/(2\/j) + 0 + h. Put 1, 9, f in decreasing order.\nAnswer: 9, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1\/18 + 5\/18. Which is the closest to 1?  (a) h  (b) 1\/4  (c) -3  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -56 + -20. Let a = j + 21. What are the prime factors of (a\/10)\/(1\/(-2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 331324 - 20?\nAnswer: 331304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 11 = -3*t, -z - 5 + 7 = -2*t. Let j = -38 - -265\/7. Put t, j, 2 in increasing order.\nAnswer: j, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 0*s = -s - 4, k - 4*s = -4. Let c be (k\/20 - -1)*5. What is the greatest common divisor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 18\/4*16288\/12. Let t = m + -36743\/6. Calculate the common denominator of t and (-222)\/80*(-4)\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 490576850?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1310312 by 4.\nAnswer: -327578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82 + 66 = -2*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.6 * 32456\nAnswer: -19473.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6282.\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -1\/4, 0, -33 in decreasing order.\nAnswer: 10, 0, -1\/4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 324 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 4*r - 48. Let c be h(5). Let x be (49\/14)\/(2*1\/c). Let f = x + 52. Solve 2*b = f*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -39.2 + 40.2. What is the third biggest value in s, 0.3, -0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/64 and 137\/168.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -787, -125 in increasing order.\nAnswer: -787, -125, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -19151*v + 229784. Give d(12).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5575 and 6913?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 12*k**2 - 3*k**2 + 10*k + 2*k**3 - 3*k**3. Let y be n(10). Find the first derivative of -3 + y*m + m + m wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the first derivative of -d**2\/2 - 2. Let f be o(-2). Let i = -2 - -2. Is i at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 173401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 5, l: 4, e: 1, k: 3}. Give prob of sequence lq.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 48405 from -922.221.\nAnswer: -49327.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 5452781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 755 and 639792436?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 36.50612 milligrams?\nAnswer: 0.00000003650612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3560 and 15430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 781*b**4 - 621?\nAnswer: 3124*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -336 + 1237. Let w = 1553 - s. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.8026 + -0.8426. What is the closest to 2\/33 in o, 1, -8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3, -0.4, 359, 3.74, 0.6 in descending order.\nAnswer: 359, 3.74, 3, 0.6, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -81*k**4 + 69777*k**3 + 11891982*k.\nAnswer: -972*k**2 + 418662*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/((-5 + 6)\/(-1)). Let y(l) = -7*l**2 + 1 - 6*l**2 + 0*l**2. Calculate y(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 141 - -18. Calculate the greatest common factor of m and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-2))\/((-14)\/(-4))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -5, -2.2, -0.1 in increasing order.\nAnswer: -5, -2.2, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, 22, -3, -48, 3, 7, -1 in decreasing order.\nAnswer: 22, 7, 3, -1, -3, -11, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -7*k**2 + 203*k - 399. What is z(2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -20031233310 (base 4) in base 2?\nAnswer: -1000001101101111110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 437150 and 6906970.\nAnswer: 34534850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -79720.6 take away 0.4?\nAnswer: -79721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -9496504 divided by -499816?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 166?  (a) -1\/4  (b) -8  (c) -59\/5  (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 22, 42, 68, 100?\n\"Answer: 3*v**2 + 11*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 4608 divided by 46639\nAnswer: 4608\/46639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -42\/23089105 and -36\/185.\nAnswer: 854296885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k - 5*k + k + 5*k - 8*k. Let y(x) = -3*x + 52. What is p(y(h))?\nAnswer: 18*h - 312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 - 2*w + (1 + 2 - 2)*(2*w + 3*w - 4*w) + 2*w + 0*w - 3*w + 3*w - 9*w - 6*w - w + 5*w - 2*w + w - 5*w + 2*w + (2 - 2 + 2)*(4*w + 3*w - 5*w).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 430 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 5 * -21.72\nAnswer: -108.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 + 14*n**2 - 11*n + 65. Let a be w(-15). Suppose -a*b + 2835 = 2*h, -5*b - 60*h = -62*h - 2835. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -28 - 14. Let z be (-9)\/d*(-12)\/(-9). Factor -4\/7*l**2 - 2\/7*l - 2\/7*l**5 + 2\/7*l**4 + z + 4\/7*l**3.\nAnswer: -2*(l - 1)**3*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z + 8 = -3*y + 12, 5*z = -4*y - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(209) + sqrt(209) + sqrt(209)*2*-4)\/(sqrt(176)*-4 + sqrt(11)) + 2.\nAnswer: 2*sqrt(19)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*i = -34 - 859. Calculate the remainder when 467 is divided by i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from juzwwwzcuw?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p - 43 = r - 45, -4*p + 3*r = 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -7*l**2 + 5*l + 3. Let i(b) = 8*b**2 - 6*b - 3. Let h(t) = -6*i(t) - 7*x(t). Let k be h(0). Let v be (-2)\/k*9\/3. Solve v*w - 3*w + 1 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 487153.\nAnswer: 619, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -3*t - 2. Let w(r) = 2*r + 3. Let v(y) = -y**3 + 7*y**2 - 7*y + 2. Let n be v(6). Let l(p) = n*b(p) - 5*w(p). Does 5 divide l(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1308830 (base 9) in base 15?\nAnswer: e1d30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 35*w + 14. Let u be a(1). Suppose -u*r = 43 - 141. Solve -23*h + r = -22*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the third derivative of w**7\/6 + w**5\/30 - w**4 - 8*w**2 - 5*w. What is the second derivative of g(z) wrt z?\nAnswer: 420*z**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 3*h = -82, -2*p + 3*h - 11 - 20 = 0. Let q = p - -15. Is q != -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 5*j - 639. Suppose 225 + j = 3*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*x + x + x - 2*x + x + 0*x + (1 + x - 1)*(-4 + 2 + 0) + 4*x - x - 6*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-182)\/(-18) - -11*17\/(-1683)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5\/27 - 79\/135. Let i = -501 + 500.9. What is the closest to i in -28, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1246\/95 equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((-36)\/(-48))*(-78)\/(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + (3\/(-1) - -1*5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 93\/9 + (16\/6)\/4 and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.06, 5\/24, -5\/2, 0?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*f - 18*f + 13*f.\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/24 - 1219\/1380.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 31  (b) 2\/21  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 479, 480, 481, 482, 483?\n\"Answer: b + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 2*q**2 - 2*q - 1. Let s be t(-1). What is the third derivative of 14*a**2 + 10*a**s - 8*a**2 + 23*a**3 wrt a?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*z**4 - 5 + 2*z**3 + 3*z**4 + 2*z + 0*z**3 to n*z + q*z**2 + r*z**4 + m*z**3 + v and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 2*c + 21. Let o be l(-10). Let h be (3 + 9\/(-3))*o. Is h at most 4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 158*j**2 + 33*j + 8. Let m(f) = 197*f**2 + 32*f + 6. Let n(w) = -4*m(w) + 5*v(w). Determine n(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 16\/513 and -37\/21204.\nAnswer: 63612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.03+50416113708907\nAnswer: 50416113708906.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.1135+0.4\nAnswer: 0.5135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes before 3:40 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 0*q - 34*q**2 - q - 3*q + 8*q**2 wrt q.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 849 - -2c?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11 or -0.0471?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 445765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 56*a - 55*a**2 - 56*a - 11*a**2. Let r(i) = -2*i**2. What is m(r(t))?\nAnswer: -264*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pppvcpycwwwpppwppp. What is prob of sequence pcp?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.11 - -4.89. Let t = -10 - -14. Let k = t - h. What is the third biggest value in k, -4, 3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6460, -0.003, 5, 4, 2 in descending order.\nAnswer: 5, 4, 2, -0.003, -6460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - 480\/66) + (-15)\/(-55).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the third derivative of -q**5\/20 - 2*q**2. Let m(x) = 3*x + 2. Let p(k) = 16*k + 11. Let j(i) = 22*m(i) - 4*p(i). Give c(j(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000010101010 + 1111111010000?\nAnswer: 111100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -11.389164 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 10*a - 8*a + 4)*(-3*a**2 + 2*a**2 + 2*a**2).\nAnswer: 2*a**3 + 7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1086, 3506, 7554, 13230, 20534, 29466?\n\"Answer: 814*n**2 - 22*n + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(3) + 1*sqrt(3)*-1 + sqrt(3) + sqrt(384)\/sqrt(8))**2*4.\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 2 p when three letters picked without replacement from sljpppqqqjpl.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 52, 9393, 4, -5 in increasing order.\nAnswer: -5, 4, 52, 9393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/2463 and 1\/86205?\nAnswer: 86205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -848\/3*g**2 - 8*g**4 + 1\/3*g**5 - 1024\/3 + 212\/3*g**3 + 512*g = 0. What is g?\nAnswer: 2, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the third derivative of -p**6\/120 + p**3\/6 + 3*p**2. Let g be a(-1). Suppose g*c = 6 - 2. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 + r**2 + 2. Let f be n(0). Let b = 1 + f. Suppose b*y + 7 = -2, u - 10 = 2*y. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**(-6)*f)\/(((f\/((f**(-2\/21)*f*f)\/f*f))\/f)\/f))\/(f**(-1\/2)\/f*f)**31)\/(f**(-2\/17)\/(f*f**2*f)*f*f*f*f**3\/f*f*f*f*f**(-1\/2)) assuming f is positive.\nAnswer: f**(3578\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -360*n - 14110859 = -577*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -0.5, -0.1, 0.651, 5, -5\/3, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 950132596?\nAnswer: 2, 7, 701, 48407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 251*s**2 + 4*s - 21. Let d(z) = 125*z**2 + 2*z - 9. Let g(m) = 2*c(m) - 5*d(m). What is the second derivative of g(p) wrt p?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that d**3\/10 + 521*d**2\/10 - 27582*d\/5 - 689472\/5 = 0.\nAnswer: -608, -21, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 10*u + 105. Let v be h(-12). What is the closest to -2 in 1\/2, v, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 2*r + 39 = 27, 3*r + 1 = 2*u. Let l(j) = -j**2 + 4*j - 1. What is l(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 785859?\nAnswer: 3, 17, 19, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 2*o - 2. Suppose -3*m + 7 = -2. Suppose 6 = x - m*x. What is q(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 74, -5, 8.\nAnswer: -5, 4, 8, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.44 and 692.9.\nAnswer: 304.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-7\/6)*q**26)\/(q*q*(q**(2\/5)\/q*q)\/q*q*q**(1\/3)))**(-3\/35) assuming q is positive.\nAnswer: q**(-663\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 60*f - 58*f. Solve 3*o + v = -0*o + 5, f = -5*v + 25 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 440, 436, 434, 434, 436, 440, 446?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -4e9b37 (base 15) to base 2\nAnswer: -1110011010101001010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaaaaaaaaa. Give prob of picking 2 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, k: 1, p: 3, f: 5, c: 3, m: 1}. What is prob of picking 2 c, 1 p, and 1 x?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - 1) + 4 + -9 - ((-25 - 9) + 10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -162 and -47499726750.\nAnswer: -47499726912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x - 3*a - 34 = 0, -3*x - 4*a = a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -23*f + 1. What are the prime factors of q(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2032?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 189 divide 110889047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -666 + 666.0576. Let c = -1.9424 - b. What is the second smallest value in -2\/93, 2\/11, c?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10895 is divided by 41.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 68650*r + 8443959. Calculate j(-123).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*f + 595984 = 2*f. Suppose -w + 8*z + f = 5*z, 5*z = -4*w + 149030. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 30243605 (base 7) to base 6\nAnswer: 125524155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the first derivative of -4*a**2 + 101*a + 30. What is the hundreds digit of n(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1011220 - 0?\nAnswer: -1011220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 21\/5 of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17 - 3*l**2 - 2*l - 17 to d + k*l + t*l**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the second derivative of y**5\/160 + 7*y**4\/32 + 13*y**3\/16 + 19*y**2\/16 - 2*y + 23. Factor x(b).\nAnswer: (b + 1)**2*(b + 19)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/c**(-2\/9)*c)\/c**7)\/((c\/c**2)\/c*c*c*c*c**(3\/2)*c*c*c*c))\/(c\/(c\/c**(-3\/5))*c**(-2\/3)*(c\/(c\/c**(-2\/5)*c))\/(c*c\/c**(-6\/5))) assuming c is positive.\nAnswer: c**(-487\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*v**2 - 2*v**2 - 901*v**3 - 5*v + 29*v**3 - 94 + 94 to the form x*v**2 + w*v + o*v**3 + u and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**3 + 6*i**2 + 9*i - 10. Let r be j(7). What is the least common multiple of 3\/r - (-385)\/20 and ((-2856)\/(-18))\/7 + 10\/3 + -4?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4*2\/108)\/(76\/(-57))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3\/7 - -11\/42. What is the smallest value in 0.2, s, 2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 431634224 to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 84\/63 + ((-6504)\/7588)\/(1\/(182\/9))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**2 - z - 3. Let j(u) = 2*u**2 + 2*u + 8. Suppose 3*a - 3 - 6 = 0. Suppose 0 = i - a. Let q(v) = i*j(v) + 8*x(v). Determine y, given that q(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u. Let g(i) = i - 459. Give o(g(d)).\nAnswer: -d + 459","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 3918*d - 15721. Give y(4).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 plus 328591623880?\nAnswer: 328591623880.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 3*i = 5, 0 = 4*q + 2*i - 206. Let h = q + -48. Let g be (0 + 1 + -2)*1. What is the closest to g in -1\/4, h, -0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*w + 51*w + 1170 = 0. Let u be -4*5\/(-90) + 28\/w. Which is greater: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*k + 1 = 29. Suppose 36 + 25 = 3*r + 5*l, k*r + 5*l - 49 = 0. Solve -5*a = 8 + r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -220002131231 (base 4) to base 2\nAnswer: -101000000010011101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*s**3 - 2*s**3 + 36*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qzqvwqqqzvwzqvv. Give prob of picking 2 w.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -5*a - 2*w, -5*a - 7*w = -10*w - 13 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f*f\/f**(-11)*f)**(-44))**(-1\/24))**13 assuming f is positive.\nAnswer: f**(1001\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(80) + (sqrt(80) + 3*sqrt(80) - sqrt(80))*-2)\/sqrt(4))\/(-2*sqrt(196)*2*6).\nAnswer: -5*sqrt(5)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 172*i = 1880 + 3407 + 1765 for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 37987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/33 - 138\/(-33). Suppose 2*u - 106 = -a*r, -10 = -u - r + 39. Suppose 0*p - 3*p = -u. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the first derivative of 16 + 1\/4*o**4 - 2*o**3 + 3*o**2 + 0*o. Determine s(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 + 6*d**2 - 6*d + 9. Let x be v(-7). Find the common denominator of (74\/32 - 2) + 0\/(-8) and 11\/x - 2\/(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -8, -9, -10, -11?\n\"Answer: -f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 242505?\nAnswer: 3, 5, 17, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 168727 + -25494. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6064*q**2 + 2969*q**2 + 374*q**2 + (-3 + 3*q - 2*q - 2*q)*(-2*q + 2*q + 2*q) + 2*q**2 + q**2 - 6*q**2 as c + u*q + h*q**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.2  (b) -3  (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2183115 (base 11) in base 9?\nAnswer: -7170448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2439 - 2440. Put m, 0.4, 2\/13, 4, -0.2 in increasing order.\nAnswer: m, -0.2, 2\/13, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10.61874 - -10.5747351. Let v = -11.956 + 12. Let p = v + l. What is p rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15\/(-28)*(21147\/114)\/53?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 66 + 44*r - 36 - 55. Suppose -5*u = -g + 5*g - 37, u + 10 = 5*g. What is the hundreds digit of d(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*v - 109*v + 182*v = -2324 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 96\/5 + 3\/5*i**3 + 36\/5*i**2 + 108\/5*i.\nAnswer: 3*(i + 2)**2*(i + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes after 5:18 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1884 and -1?\nAnswer: -1884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 91 - 343 = -j, -3*x + 518 = 2*j. Let c = -125 + j. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -292*y + l = -293*y + 9, 28 = 4*y + 6*l for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 14 = 5*x, 0 = 4*x - 5 - 3. Suppose 4*y + 4*o - 1644 = 0, 0*y + y - s*o - 417 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -2*w**3 - 11*w**2 - w + 13. Let n = 23 + -28. What is f(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 174059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -7\/3*u + u**3 + 2\/3*u**2 + 2\/3 = 0. Calculate u.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from vmxyjyyymyiviym.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4 - 8)*(-1 + 39078 + -2). What is g rounded to the nearest 10000?\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 97393414 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 47*j + 1039. Let t(k) = 9*k. Let f(a) = 2*a. Calculate j*f(h) + 6*t(h).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 199166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -8*i**3 + 6*i**2 + 15*i - 1. Let s(n) = -n**3 - 3*n - 1. Calculate l(d) + 5*s(d).\nAnswer: -13*d**3 + 6*d**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 6287 times -0.2\nAnswer: -1257.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 24 - 139 = 0. Let n be y\/(-7) + (-14)\/49. Suppose -4*f = -n*f - 66. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.46 - 0.36. Put 4\/7, -2\/15, g, -0.1 in increasing order.\nAnswer: -2\/15, -0.1, g, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38818723 a multiple of 336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -29, -70, -141, -254, -421, -654?\nAnswer: -965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/(-2)*6\/4. Let b = -173\/2 + 1205\/14. Suppose 17*m - 39*m - 28 = 38. What is the closest to -1 in m, h, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from vdvvbqqdqvvvs.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*v + 24 = -0*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4038*d**3 + 8147*d**3 - 4111*d**3 + 3 - 3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65369.\nAnswer: 131, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -14 - 346*p - 18 - 2 - 1 - 5 wrt p.\nAnswer: -346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -35833c (base 14) in base 6?\nAnswer: -103103350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 - 9. Let r = 4\/3 + y. Which is the second smallest value?  (a) -1\/3  (b) r  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 43 and 485857.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(1\/2)\/d**(-1\/3))\/(d**(-2\/13)\/(d\/(d*d\/(d*d**(-1))*d))))\/(d**(-3\/13)*d**(9\/2)) assuming d is positive.\nAnswer: d**(-206\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is -35 - (44 + 25 + -24)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -526.5353 bigger than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.274859596 minus 0.3?\nAnswer: -0.025140404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes before 8:47 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 83 or 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the second derivative of 5*r**7\/42 - 5*r**3\/3 - 11*r. Find the second derivative of f(k) wrt k.\nAnswer: 100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-w - 2*w + 4*w + 4)*(24*w - 42*w + 28*w) to p + h*w**2 + s*w and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*b + 15*b = 72. Let g be (-5790)\/(-4)*b\/15. Let s = -2293 - g. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*i*k**2*l - 2*i*k**2 + 2*k**2*l + k*l - 1312 wrt i.\nAnswer: -2*k**2*l - 2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j**4 + 3516*j**3 - 31401*j**2 = 0. What is j?\nAnswer: 0, 9, 1163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69*h = -126*h + 171. What is the lowest common multiple of 23 - ((0 - -3) + -2) and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14, -169, -586, -1397, -2734, -4729, -7514, -11221?\nAnswer: -15982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/14)\/((-3)\/21)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 33 + -24. Let w(u) = -u**2 + 4*u + 47. Let l be w(s). Solve 8 = -l*a - 2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*i + 22723 - 22721 + 31*i + 14*i + 7*i.\nAnswer: 37*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1250, -1076, -804, -446, -14, 480, 1024, 1606?\n\"Answer: -2*g**3 + 61*g**2 + 5*g - 1314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.23601 to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 826 = 3*d - 4*n + 835, 0 = 5*d - 2*n + 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -4\/7  (b) 1\/6  (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -137.383 from -6.\nAnswer: 131.383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -45179430*p**2 - 266150773*p.\nAnswer: -90358860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + 8*v + 27 + 3 = 0, -x - 4*v - 8 = 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2 and 78294272932.\nAnswer: 78294272930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -301 + 22 - 2*f - 7.\nAnswer: -2*f - 286","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = -r + 10. Let x be 3\/3 + 0 + r. Solve -x*o = 2*w + 1 + 3, 0 = w + 3*o - 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2824346209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/6*-82 + (-3)\/9. Suppose 4*r - b = -5*q + 74, -2*r + 76 = 4*q. Calculate the remainder when 80 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 - 1110010?\nAnswer: -1101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + -12 - (-83 + 125).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 573071310 equal to 1146142617\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 7648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5202  (b) -5\/3  (c) 2  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 - 3*c**2 - 4*c - 2. Let m be x(-2). Suppose 0 = m*n + 4*n - 66. Let u = -8 + n. Is u less than or equal to -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6773 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes after 2:25 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 6*u. Let m(w) be the third derivative of -25*w**4\/12 - 7*w**3\/6 + w**2 + 190*w - 1. Give m(z(q)).\nAnswer: -300*q - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 59, 74, 115, 194, 323, 514, 779, 1130?\n\"Answer: 2*p**3 + p**2 - 2*p + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 924.91 - -10.09. Let k = -934.99999123 + y. What is k rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -16 - -16.2. Let b be ((-16)\/12)\/((-2)\/(-6)). Let o = -1 + 0. Sort b, c, o in ascending order.\nAnswer: b, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*g**2\/5 + 939*g\/5 + 54 = 0. Calculate g.\nAnswer: -2\/7, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (-2 - ((-3 - -5) + -9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(20)\/sqrt(4) + 1 + (2*-1*sqrt(5) + sqrt(5) - sqrt(5)) - (5*sqrt(405) - sqrt(405))**2*3).\nAnswer: -19442 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 3 m when four letters picked without replacement from mvvvmmeevvmvmmvmmm.\nAnswer: 49\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2266.96164 - -2267. Let q = l + -0.037. Round q to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3416 = -8*l - 2752. Let y = l - -5430\/7. Are 5 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u + 2*u = 0. Solve u = z - 3*z - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (0 - (0 - 0)) - (166 + -173).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 27*s**2 - 117*s - 41. Calculate v(-4).\nAnswer: 859","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 274 a factor of 1884024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 591*x**3 + 4*x**2 - 2*x - 58. Is q(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 2*v = 2*h - 20389, 2*v = 5*h - 34003. Suppose -20*w + 3721 + h = 0. List the prime factors of w.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20 - 17 + 56 + 3*x**3 - 19.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -54*j - 77. Let z(p) = -31*p - 39. Let l(m) = -4*d(m) + 7*z(m). Give l(16).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n - 13. Let r be o(16). Solve 0 = -r*w - w - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*c + 31*c - 40 = 0. What is the units digit of 4144\/6 - (8\/12)\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/6733 and -3\/11.\nAnswer: 74063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**0\/(s\/s**(2\/11)*s))\/(s**1*s*s**(-2)))\/(s**(-5)*(s\/(s\/s**2)*s)\/s*s*(s\/(s*s\/(s**2*s)))**10) assuming s is positive.\nAnswer: s**(-218\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes before 9:40 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 28 and 1268.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6784 and 265.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -54 (base 13) to base 9\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6*n**4 - 53*n**3 - 16050*n**2 - 5379693.\nAnswer: -24*n**3 - 159*n**2 - 32100*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 4 + 4 + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**2 + 10*v - 7. What is c(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 693.6 - 694. Which is the biggest value?  (a) 3  (b) 6  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-30)\/(-210)*((-3)\/6)\/(8\/(-48))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 4*z - 1941. Let q(v) = -23*v. Calculate s(q(i)).\nAnswer: -92*i - 1941","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 406397530 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 513889049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 7, -4\/5, 20\/57?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 35.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 3  (b) -7  (c) 3\/5  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 298487 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -413*q + 32. Let n(z) = 69*z + 1. Let u(f) = g(f) + 6*n(f). Determine u(-21).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/2)\/(7\/308). Let a = z - -57. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -1  (b) 0.24  (c) 8  (d) -0.022\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = o - 19. Are 12 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - 3*s + 51 = 3*n, -4*n - 3*s + 63 = 0. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**24*z**11\/z*z)**23)**(-17) assuming z is positive.\nAnswer: z**(-14076)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 847?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, 1.7, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -1 + 1 - j. Let s(f) = -f**3 + 2*f**2 + 10*f - 7. Let v be s(4). Let a(q) = 3*q. Let x(u) = 40*u. Let i(c) = v*x(c) - 5*a(c). Give m(i(d)).\nAnswer: -25*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3332587.\nAnswer: 53, 227, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -34 + (31 - 13) + 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8126, -8025, -7896, -7739, -7554, -7341?\nAnswer: -7100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 5*x - 52. Let m be k(11). Let v be 105\/12 + 3\/12. Let i be (-16)\/(-6) + m\/v. Solve -i*r + 4 = -d, -41 = -4*r - 4*d - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**2 - 3*m + 3. Let j be 1*(-1 + -2 + 0). Let k be d(j). Suppose 0 = 2*s - 5*u + k - 29, 2*s - 18 = u. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 682 - -396a0?\nAnswer: 3a272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 10 - 12 + 4*w**2 - 5*w**2 - 3*w = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the third derivative of 0*i - 6*i**2 - 3\/70*i**7 + 0 + 0*i**5 + 0*i**6 - 1\/3*i**4 + 0*i**3. Find the second derivative of l(u) wrt u.\nAnswer: -108*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k + 11. Let t be m(8). Let g(x) = -x - 3. Let h be g(-5). Sort -5, t, h in descending order.\nAnswer: t, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 611990.9 litres in millilitres?\nAnswer: 611990900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*z + 7*z - 34*z + 4*z.\nAnswer: -53*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 + -2. Suppose -2*u + 8 = 2*m, 2*m - v + 12 = 4*u. Suppose k = 2*d - 52, u*k = 6*d - d - 130. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (2*sqrt(198))\/(sqrt(99)*5) - (-1 + (sqrt(6) + sqrt(12)\/sqrt(2)*-3)\/(sqrt(81)\/sqrt(3))).\nAnswer: 16*sqrt(2)\/15 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**2 + 7*o - 11*o**2 + 21*o**2 + 5*o. Let z(b) = -19*b**2 - 25*b. Let s(a) = -5*v(a) - 3*z(a). Find the second derivative of s(x) wrt x.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26899777?\nAnswer: 37, 727021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Total of 481.8281 and -0.05.\nAnswer: 481.7781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 3*j**2 - 11*j - 14. Suppose 3*t + 3*y - 27 = 7*y, 0 = t - 3*y - 9. What is the hundreds digit of v(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 183070182 and 1?\nAnswer: 183070182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:04 AM and 8:28 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from isiiiisiiiiisssisi?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, -3, -0.01?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -159, -237, -323, -417, -519, -629?\nAnswer: -747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 445570548?\nAnswer: 2, 3, 37130879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((sqrt(96)*-2*-2 - sqrt(96))\/(sqrt(30)\/sqrt(90)*-2) + -2)*-3.\nAnswer: 6 + 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71515?\nAnswer: 5, 14303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 196*u**2 - 3*u**4 - u**3 + 53*u**2 + u**4 + 72 - 74 to the form l*u + a*u**3 + o*u**4 + b*u**2 + r and give b.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 2*d = 32. Suppose 3*l - 7*l = -d. Let a = 8 - l. Solve 4*j - 3*j + 2 = a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10 + 10. Suppose -n = q - 64, k = 4*q + n - 6 - 235. Suppose -q = -v + 29. What is the greatest common factor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2927*l**3*z**3 + 658*l**3*z - 6656*l*z**3 + 4*l*z wrt l?\nAnswer: 17562*l*z**3 + 3948*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -104.18 + 104.68. What is the second smallest value in -89, -0.2, -1\/9, 5, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*g + 3*g. Suppose -6*z + z = g. Suppose -c + 17 = -z*c. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1334 (base 6) to base 5.\nAnswer: -2341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 + 18*i**2 - 17*i + 5. Determine q(12).\nAnswer: 665","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-12)\/(-28) - (-1164)\/28. Suppose -3*n + 5*m + 24 = -4*n, -5*n = -m + p. Sort n, -1, 1, 5 in increasing order.\nAnswer: n, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 631 is divided by 56.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 95.77774ug?\nAnswer: 95777.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 + -13. Suppose -3*l + 2 = 4*h - 2, 0 = -5*h - 3*l + 5. Sort r, h, -4 in decreasing order.\nAnswer: h, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 688.98954 + -762.989558. Let c = m - -74. What is c rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g + 0*g**3 + 5 + 3 - 3 - g**3. What is the units digit of o(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22768 and 27416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/25772 or 0?\nAnswer: -1\/25772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 14399*x**2. Let p(a) = a**2. Calculate u(p(t)).\nAnswer: 14399*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 50 + 56 = 0. Suppose -y + v + 2 - 3 = 0, 5*v = 2*y + 8. Is y less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 3, -1\/8, -0.02877, -0.1, 8?\nAnswer: -0.02877","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.22 < -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-213174)\/9110 + 8\/(-5)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes after 6:08 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 501 - 501.2. Which is the third biggest value?  (a) -1  (b) n  (c) -88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39248 = 20*y - 56*y + 25*y. Does 45 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10100100111110101000100 (base 2) to base 13\nAnswer: -1173839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 3*q = 3*j - 4, j + 5*q - 1 = 0. Let p be 0 + j + -7 + 2. Let x be 2\/(-10) + p\/(-10). Which is the second biggest value?  (a) x  (b) 4  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12120002120 + 12?\nAnswer: -12120002101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 114 divide 1710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 11) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 32*l + 100*l - 997 - 587 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 31 + -30 + 10 + 1 + -11 + (-49 - -45)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 34464340 (base 7) to base 4\nAnswer: 23202120112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3577\/10 - 357. Calculate the common denominator of (-167)\/12 + (-5)\/(-20) and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1173662?\nAnswer: 2, 7, 83833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 19287 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Do 39892 and 39889 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 190 and 4?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 36 and 24768.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 26864623*m*u**4 + 51*m - 2*u**4 - 405153 wrt u?\nAnswer: 107458492*m*u**3 - 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the second derivative of t**7\/140 + t**6\/80 + 3*t**2 - 8*t. Let s(k) be the first derivative of g(k). Let s(y) = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -15718 and -14.93.\nAnswer: 234669.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 342572028 to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 15 = 0, -5*r - 15*g + 13*g + 141 = 0. Calculate the remainder when 43 is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 273*y - 3285. Let x be i(12). Suppose -2*t - 5 = -1. Which is the third smallest value?  (a) 2\/15  (b) 5  (c) t  (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -688 + 688.3. Let p be ((-1)\/(-4))\/(7\/(-8)). What is the biggest value in p, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 7*x - 12. Suppose -q + 17 - 1 = x*t, 4*q + 4*t - 56 = 0. Let p = q - -2. Solve v = -4*m - p, -2*v = 2*v + 2*m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-7) - (-1016)\/266) + -4.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 26 + 2*w**2 + 6*w**4 - w**3 + 28 - 2*w**3 + w - w wrt w?\nAnswer: 144*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the second derivative of s**5\/20 - 4*s**4\/3 - 12*s**3 + 63*s**2\/2 - 40*s. What is the thousands digit of f(23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 307969?\nAnswer: 307969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1713.\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from kqqqqkqvkqvvkqqq.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 110, 825, 2764, 6539, 12762, 22045, 35000?\nAnswer: 52239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 14*p - 31. Let h(d) = 3*d - 6. Let s(o) = 11*h(o) - 2*m(o). Let i(y) = 4*y - 3. Let f(x) = -4*i(x) + 3*s(x). Let z(g) = 4*g. Calculate f(z(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/(-3) - 0\/3. Let j(i) be the first derivative of -3*i**2 + 4*i + h + 2\/3*i**3. Factor j(b).\nAnswer: 2*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 21203 - -13032311?\nAnswer: 13104014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 22*u**4 - 1 - 16*u**4 - 476*u - 3*u**3 - 2*u**4 as l*u**3 + g*u**4 + f + o*u + w*u**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:49 AM and 11:18 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 2*p. Let s(u) = 3*u + 9. Let q(z) = -z + 3. Let v(d) = 3*q(d) - s(d). Calculate -8*n(x) - 3*v(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the second derivative of 3*v**5\/20 + v**4\/6 + v**3\/3 + 149*v + 1. Let s(t) = -57*t**3 - 39*t**2 - 39*t. Give 117*b(a) + 6*s(a).\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes after 1:29 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 7}. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 15826522 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -18*h**3 + 22*h**2 + 137*h?\nAnswer: -108*h + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 1 - 4)*(2*j + 0*j - 267 + 213) as r + t*j and give r.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 739545299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 8 = -m. Put -1, m, -6 in ascending order.\nAnswer: -6, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -676276*l + 805250 wrt l.\nAnswer: -676276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -112 (base 3) in base 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/2736495 and 91\/50.\nAnswer: 27364950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*a = -25*a + 3000. Suppose -a - 700 = -11*c. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -12 - 0*(-6)\/(-12). Let y(h) = -h**2 - 9*h + 51. Is 4 a factor of y(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -206, -424, -642, -860, -1078, -1296?\n\"Answer: -218*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -k**3 - 486*k + 3755 wrt k?\nAnswer: -3*k**2 - 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 760081 by -161.\nAnswer: -4721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p - 23 + 17*p**3 + 19*p**2 - 31*p**3 + 15*p**3 + 3*p. Is k(-18) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -312 + 6*d + 958 - 328 - 318.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -3 + 6 - j + 7*j. What is z(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/(-10) - (3708\/20)\/(-1). What is the highest common factor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the third derivative of 0*p + 1\/60*p**4 - 1\/300*p**6 - 1\/150*p**5 + 1\/15*p**3 + 0 + 4*p**2. Solve c(i) = 0 for i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/3 - (-11)\/132*44. Solve 0*o - 5*d = -4*o - 2, q*o = 3*d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 643\/4 - 161. Is f > -232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*b**3 + 4751 + 340*b**2 - 1025*b**2 + 340*b**2 + 344*b**2 to the form l + x*b**2 + w*b**3 + z*b and give l.\nAnswer: 4751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (1296\/8640*(-16)\/4)\/((-2)\/(-6))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o + 11. Let d be q(11). Let a be (d + -2 - -4) + -444. What is the common denominator of -99\/8 and 30\/50 - a\/(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 95 * -35\nAnswer: -3325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -129794.27 + 128996. What is k rounded to the nearest ten?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q + 5. Let z be d(-6). Let h be z\/(-2)*(-4)\/22. Is -1 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 3*a + 4*y - 2 = 0, 5*y + 2 = 4*a. Suppose 3*n + 75 = a*s, n - 23 = -s - 6. Is 1 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Round 11661000 to the nearest one hundred thousand.\nAnswer: 11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -4, 2347, 3\/11.\nAnswer: -4, -0.3, 3\/11, 2347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 5*k**4 + k**3 + k. Let s(p) = 369*p**4 - 6*p**3 + 647*p**2 - 6*p. Let i(g) = 6*r(g) + s(g). What is the third derivative of i(f) wrt f?\nAnswer: 9576*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 126\/(-28) - 119\/(-14). Solve 0 = -k*r + 3*j - 14, -22 = -0*r + 4*r + j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -350 + 312. Suppose 5*a - 5 = 0, 4*h + 2*a - 65 - 101 = 0. Let p = h + d. Solve 12 = 5*j - p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -2*o**3 - 7*o**2 - 4*o - 7. Let p(t) = 3*t**3 + 8*t**2 + 5*t + 8. Let r(b) = -7*n(b) - 6*p(b). Let g be r(1). Is ((-2)\/(-1))\/(g\/(-154)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 616 or 618?\nAnswer: 616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of 13*d + 1\/3*d**3 - 43\/2*d**2 + 0. What is the first derivative of y(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2, 0, -4, -10?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -1755*(6\/(-9) - (-8)\/(-15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 255085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 47, 64, 69, 56, 19?\n\"Answer: -f**3 + 24*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 + 3 - -3) + (26 - 13 - -51)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -2*m + 3*v, v = -8*m + 6*m + 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(6*(sqrt(117)*-2 + sqrt(117)) + sqrt(117) + sqrt(117)))\/((sqrt(729) - (sqrt(729) + sqrt(729)*-1 + sqrt(729) + sqrt(729)))*5 + sqrt(729))*-1 + -4.\nAnswer: -4 - 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v + 2 = -4*o - 3, 5*v + 2*o = 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 2*a - 2. Let r(b) = -4*b. Let x(h) = 5*h + 1. Let m(p) = 6*r(p) + 4*x(p). Let i(n) = 5*g(n) + 3*m(n). Differentiate i(q) with respect to q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 + 57?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least 705\/247028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 252\/66 + 2\/11. Suppose y*t - 1 = 43. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the third derivative of a**5 + a**4\/2 + a**3\/2 - 9*a**2. What are the prime factors of b(-2)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -3*u + 57. What is the hundreds digit of g(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6555 and 1265.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 93648413?\nAnswer: 2293, 40841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -14*o**2 - 6*o - 3. Let h(q) = 13*q**2 + 4*q + 2. Let x(c) = -3*h(c) - 2*t(c). Let n(l) be the second derivative of 11*l**3\/6 - 129*l. Give n(x(a)).\nAnswer: -121*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 25556354 to the power of 1\/2, to the nearest integer?\nAnswer: 5055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 184, 388, 616, 874, 1168, 1504?\nAnswer: 1888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pn when two letters picked without replacement from tpn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -8e8e0e + 39?\nAnswer: -8e8dc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(3 + 3*sqrt(125) + 3))**2 + 3.\nAnswer: 2880*sqrt(5) + 18579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 - 7*l - 8. Let s be j(6). Let d(y) = -y + 14. Let b be d(12). Let w be -13*b\/s - 2. What is the third biggest value in w, 2\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*g*q**3 + 2*g*q**2 - 53*g*q*r + g*q + 2*g + 501*q**3*r + 7*q*r wrt q.\nAnswer: 12*g*q + 4*g + 3006*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, k: 1, l: 5, d: 3}. What is prob of picking 1 l and 1 b?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) 0  (c) -1\/4  (d) -1.823  (e) 2  (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -512 - -515. Suppose 0*h + 3*h + 150 = j*c, -5*c = -h - 234. What is the remainder when 156 is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vxgxkkxxxvxxvxv. What is prob of sequence kxk?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -40*d - 8. Determine u(1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -255 - -22ca?\nAnswer: 2075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = 3*a - 16190, b + 387*a - 3238 = 392*a. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of 17741734 and -1431715.7.\nAnswer: 16310018.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 8594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**2 - 2*t - 3. Suppose 5*n + a + 0*a + 7 = 0, -n = 4*a - 10. Let h be j(n). Solve h*f + 5 = -0*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -6 - 21*g - 17*g + 39*g. Let p(y) = y. Calculate n(p(u)).\nAnswer: u - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 - 32 = -4*r. Suppose -2*n + r = -3*s - 8, -5*n + 95 = 5*s. Solve -2*i = -5*t - n, -5*t + 0 = 5*i + 30 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 32435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*5*((sqrt(168)\/(sqrt(72)\/sqrt(9)))\/(sqrt(192)*5))**2*2.\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 b when three letters picked without replacement from hcabccbaaacbcx?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.3 - 0.3. What is the closest to -2 in -2\/3, o, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26 + 48 - 22 - 2*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25*r + 40*r + 25*r)*(0 - 2*r**2 + 0)*(3*r - 2 + 2).\nAnswer: -240*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**3 + 5*f**2 + 2*f + 4. Let m be k(-5). Let w be (-42)\/m + -1*3. Let 6*j**3 - 4*j**2 + 3*j + 6*j**w + 2*j**5 - 3*j + 6*j**2 = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 447 - 447 + 2*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a century in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in one fifth of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 1 + 1)*(-v + 1 - 1) - 2841947 + 6202*v + 2841947 in the form a + m*v and give m.\nAnswer: 6203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 3*b. Let i(s) = 120*s**2 - 6*s - 36. Let q(t) = t**2 - t - 6. Let f(a) = i(a) - 6*q(a). Give f(l(k)).\nAnswer: 1026*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8 - 2 + 3)*(-62*t - 342*t + 4332*t) as v*t + c and give v.\nAnswer: -27496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes before 10:24 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 64 - 65. Sort 45, -0.3, b.\nAnswer: b, -0.3, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8)\/(-16) - (-80919993)\/14. What is p rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, -1\/5, 0.2, 3\/23, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/3*(-36)\/(-24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2067 + 2062. What is the nearest to 0 in 1\/5, -1, 1\/16, v?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 - 13 + 7)*((-2*d - 1 + 1)*(10*d + 6*d - 29*d) + 3*d**2 + 3*d**2 - 5*d**2).\nAnswer: -486*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 255 is divided by 69.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100110101111001001011 (base 2) to base 8.\nAnswer: -4657113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 6*u. Let t(k) = 11*k**2 + 162*k. Calculate r(t(b)).\nAnswer: 66*b**2 + 972*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 54647*c*q**3 - 33410*c*q**2 - q**2 wrt q?\nAnswer: 327882*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 - 28e?\nAnswer: -28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06 take away 0.050286?\nAnswer: 0.009714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -125000*s**3 - 22500*s**2 - 1350*s - 27.\nAnswer: -(50*s + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 235502 (base 6) in base 9?\nAnswer: 31352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**2 + 2*r - 164. Let d be l(-14). Solve -4*q + 18 = d*m - 22, 0 = m - 2*q + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 + 12*k**2 - 34*k - 479. Determine d(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 39.7 and 0.36.\nAnswer: 14.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-26)\/r**7 assuming r is positive.\nAnswer: r**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 5487.\nAnswer: -4\/5487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -131 - -135. Let n(i) = 3*i**2 - 8*i + 19. List the prime factors of n(b).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 2\/531273?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes after 2:03 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 3*v - 4. Let g be c(3). Let y(z) = 799*z + 4817. Let r be y(-6). Solve r = 3*f + 3*d - g*d, 5*f + d = 21 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -141\/13 - -11. Let q(x) = -3*x + 12. Let u be q(8). Let o be u\/18 + 2\/(-6). Is b at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 49 = 5*t, -2*a + 5*t = 2*t - 89. What is the first derivative of a + 216*q**3 - 75*q**3 - 72*q**3 - 9 wrt q?\nAnswer: 207*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**3\/3 + 4*t**2 + t\/3 - 4.\nAnswer: -(t - 12)*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 2 = 3*h, -3*g = -6*h + 11*h + 4. Let j be -1*(h + 3) + 34\/(-10). Suppose -3*f = -6, b - 5*f = -4 - 10. Is j < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 4*i**2 - 7*i + 7. Let g(r) = -r + 3*r**2 - r**2 - 2*r + 3. Suppose -3*v - 24 = 4*z, -3*z + 8*z + v = -19. What is z*p(d) + 7*g(d)?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 81267 and 721?\nAnswer: 568869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - v + 15 = 0, -3*o - 5*v + 1 = -2. Let y be 1 + (2\/(-6) - 1). What is the closest to y in 2, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 4*k - 10 = 0, 1 - 3 = -2*k. Let t(q) = 0*q**3 - q**3 - a*q + 6*q**2 + 3*q - 6. Let b be t(5). Solve 0*g - 5 = b*j + 3*g, 5*j + g + 20 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + i - c - 53 = 0, -i + c = 55. Let r be (20\/6)\/(4\/i). What is the units digit of (4\/6)\/((-6)\/r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - 6 - (7 + 0 + -18 + 136 + -141).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -6 + 27. Let y(r) = r**3 - 7*r**2 - 9. Let v(t) = t**3 - 6*t**2 - 8. Determine k*v(n) + 6*y(n).\nAnswer: -n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, -0.15, -1\/11?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -3*u + 3*d + 189, 8*u - 1425 = -5*d. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 59*d**4 - 5*d**2 - 68*d**3 + 1 + 7*d**2 - d**2 - d + 67*d**3 in the form i*d**2 + p*d**3 + w*d**4 + r + z*d and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 36*r**2 + 53*r + 184. What is h(-4)?\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f + 8. Let i(m) = 8 + 5 - 4 - m. What is 5*b(z) - 4*i(z)?\nAnswer: -z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.2 - -0.1. Let b = x + 0.12. Let t = -0.0169 + b. Round t to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 10 = 2*p + 2*v, -5*v + 21 = 3*p. Let s be (-2 - -8)\/3*2. Suppose 2*a + 6 = s*a. Sort 4, a, p in increasing order.\nAnswer: p, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -6 - 10455?\nAnswer: -10464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 8017665193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(2\/7))**(-17)\/(h**(-2\/7)*h**(1\/5)) assuming h is positive.\nAnswer: h**(-167\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 70\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 30988648?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z + 81 + 3. Suppose 0*i - z = -i. Let l = i - 12. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -18 + 22. Suppose 58935 + 57857 = d*f. Suppose 5*c - 28305 = 4*h + 30090, 0 = -2*h + 2*c - f. Round h to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let c = -921 + 920. Sort 9, -29, c.\nAnswer: -29, c, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.1193 or -3\/23?\nAnswer: 0.1193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3\/10, 5, 0.075, -3\/2, 1\/5?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -15180 + 15276. Let l(x) = 2*x - 7. What is the remainder when c is divided by l(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + 0 - (-5 + 27).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 4) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-1\/4)\/b)\/b**(-5))**4\/((b**(-5)\/(b**(-3)\/b))\/((b**(1\/5)*b)\/(((b\/((b*b\/(b\/(b\/((b**(-3)\/b)\/b))))\/b)*b)\/b)\/b*b))) assuming b is positive.\nAnswer: b**(111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -373 + 354 + (-13 - (1 + 0 - 1)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9?  (a) 3  (b) -191  (c) 5  (d) 1\/5  (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2951728.\nAnswer: 2, 13, 23, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 573835 and 3440?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.7 - 0.4. Suppose 0 = -2*w + 3*f + 6, -2*w - 6*f + 6 = -2*f. Which is the second biggest value?  (a) -7  (b) w  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39.623*-9.\nAnswer: 356.607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-1\/6)*s)\/s)\/s*s**(4\/3)*s**(-2\/7)\/s**(-1\/2) assuming s is positive.\nAnswer: s**(8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 528, 4172, 14068, 33342, 65120?\n\"Answer: 521*r**3 - 3*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that s**2\/2 - 66*s - 133\/2 = 0.\nAnswer: -1, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*i = -0*i + 170 + 2080. Calculate the highest common factor of i and 465.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -55, 1.5, -34, 6, -0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -3*t**2 + 1729*t - 28552. Calculate x(17).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 78570763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(450)*3*4*4)\/((sqrt(66) + (sqrt(66) + -2*sqrt(66))*6)\/(sqrt(11) + sqrt(11) + sqrt(275)*-1)).\nAnswer: 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the second derivative of -2*g + g**4 + 2*g**3 + 2*g**2 + 1\/5*g**5 + 0. Solve v(i) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -322 - -2?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 59303633?\nAnswer: 17, 3488449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6859866.\nAnswer: 2, 3, 13, 31, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1506878674 rounded to the nearest 100000?\nAnswer: 1506900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 9*p + 30. Let t be r(-3). Let u(a) = a**2 + 5*a + 6. Let f be u(-6). Solve 0 = -t*g - g - f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 563*p - 72524. Calculate u(132).\nAnswer: 1792","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-133)\/(-532) - (-2)\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -b + 7*b. Let c be (28\/b)\/7 + 2\/4. Sort -3, 3, c, 1 in descending order.\nAnswer: 3, 1, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 287055 is divided by 15944.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 25523.7 rounded to the nearest 10?\nAnswer: 25520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -14*d**5 + 374*d**4 - 1250*d**3 + 1250*d**2 - 176*d - 184 = 0.\nAnswer: -2\/7, 1, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (6*sqrt(125) - sqrt(125)) + sqrt(125))**2 + sqrt(55)\/(sqrt(11)*-4)*1.\nAnswer: -sqrt(5)\/4 + 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.4 and 6116.\nAnswer: 6115.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*p + d + 5, -9 = p - 4*d + 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z + 0 + 0)*(3 + 2*z - 3) - 2*z**2 + 4*z - 4*z + 10*z**2 + 11 - 11.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**13)**(-43) assuming b is positive.\nAnswer: b**(-559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((j**(-5)*j)\/j*j*j)\/j)\/(j\/(j*j\/(j\/(j\/(j**6*j)*j))*j)*j))\/(j*j**1)**(2\/111) assuming j is positive.\nAnswer: j**(-1003\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 32 = -2*x, -3*j - j = -x + 36. Let d(v) = -2*v - 10. What is the least common multiple of (1 + -1)\/(-1) + 20 and d(j)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1220120341 + 1?\nAnswer: -1220120340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1193 - -2535. Let n = m - 2167. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 37 + 37. Let c = t + -44. Let p = c - 24. Sort -4, 0, p in decreasing order.\nAnswer: p, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -630 + 9*l - l - 12*l + (2 - 1 - 2)*(2*l + l - l).\nAnswer: -6*l - 630","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -253?  (a) 1  (b) -114  (c) 0.3  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 236599 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from asaujsuassssujs. Give prob of picking 1 a, 1 u, and 2 s.\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*l - 297 + 291 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 + -13 + 0\/1. Let u = a + 17. Suppose -u*o + 41 = 1. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -101 (base 7) in base 12?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -84125+122305\nAnswer: 38180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -45.989 in 4\/7, 1\/2, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 275*b - 7. Let n(c) = -276*c + 8. Let v(m) = 2*n(m) + 3*w(m). Is v(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 68363082 times -0.2\nAnswer: -13672616.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n - 2*n - 4 = 5*y, 2*n + y - 2 = 0. Put 2, n, -7, -1 in decreasing order.\nAnswer: 2, n, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30492\/37422*(-30)\/55.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 50782 or -5\/22?\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.4 - 0.2. Suppose 6*o - 29 = -17. Let m be 3\/(-2)*-3*o\/18. Which is the closest to m?  (a) -1\/5  (b) -2\/7  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 132.3191851 and 2.885.\nAnswer: 135.2041851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 10075\/375 - 4\/(-30). What is the highest common factor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9455538 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**9*a)**0\/(a**(-6)*(a*a\/a**38)\/a*a*a) assuming a is positive.\nAnswer: a**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -19 - (65 + 104 + -112)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tccdcqtthtqcchht. What is prob of picking 1 h and 2 q?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bdbbbpsdbxpbbbbxbbz. What is prob of sequence dx?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(4*sqrt(36)\/sqrt(432)*1 - ((sqrt(27)*-1)\/sqrt(9) - -2*(sqrt(108) - sqrt(3))**2)).\nAnswer: -900 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 672561, 2690423, 6053525, 10761861, 16815425?\n\"Answer: -m**3 + 672626*m**2 - 9*m - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does -21463 = -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 17116*o - 20528*o - 9*o**5 + 167*o**4 + 22*o**5 wrt o?\nAnswer: 260*o**3 + 2004*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(66\/11)*9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 2*z = 625, -1703 = -5*q + 5*z + 1442. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**3 + 15*q**2 + 17*q - 15. Give a(-13).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -82*y + 717 + 103 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -7350 + 7?\nAnswer: -7344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 3, 467 in decreasing order.\nAnswer: 467, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does -113 = -123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001144 rounded to six decimal places?\nAnswer: -0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 2. Let f = 24 + -28.3. Let i = -1.3 - f. What is the closest to -2 in g, i, -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 195\/100*298\/(-447).\nAnswer: -13\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 14) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, -0.4, -25\/14877, 1, -2\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.15 + -0.05. Let h = -0.10007 + y. What is h rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1970 and 122.\nAnswer: 120170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - -4 - -2 - (1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o**2 - o**2 + o**4)*(2*o - 1 + 1) + 9*o**5 + o**5 - 3*o**5.\nAnswer: 9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 167 and 1503.\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the first derivative of -i**3 - 7*i**2\/2 + 15*i - 16. What is the first derivative of m(z) wrt z?\nAnswer: -6*z - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 smaller than 101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1496455386 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, 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 -1328*g - 1986*g - 371*g.\nAnswer: -3685*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-270)\/45*(-1)\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.00193705 from -46441174.\nAnswer: -46441173.99806295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2120000002020 (base 3) to base 4.\nAnswer: -11023211223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (26\/(-208))\/((-12)\/2976)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.1, -5, 2, 0.03?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the first derivative of -b**3\/6 + 4000*b**2 + 2*b - 6. Let y(j) be the first derivative of q(j). Let f be y(0). Round f to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3729250*w**3 - 344377*w**3 + 767514*w**3.\nAnswer: 4152387*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 330 + -276. Suppose 0 = 64*r - g*r - 270. What is the remainder when 73 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 170 - -42?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -22\/26571 and -47\/459.\nAnswer: 239139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 0*b = -1. Let a be 2 - (b + (-16 - -1)). Calculate the remainder when 43 is divided by a - (-1 + -1)\/(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 57127, 57137, 57169, 57235, 57347, 57517, 57757, 58079?\nAnswer: 58495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -171.69 + 173. Let a = 1.30999791 - u. Round a to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the second derivative of -55*h**3\/3 + 23*h**2\/2 - 32*h. Let d(q) = -q**2 + 8*q + 4. Let k be d(9). Is j(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 12\/5243 and -101\/1274798?\nAnswer: 8923586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -64*a - 9*a - 12 + 53. Let p(i) = 24*i - 14. Let y(k) = 4*m(k) + 14*p(k). Differentiate y(g) with respect to g.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 116847440 to the nearest 10000.\nAnswer: 116850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -13*b*p*s - 71*b + 42*p*s + p - s wrt b.\nAnswer: -13*p*s - 71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -2*v**3 - 78*v**2 - 473*v + 7. Give t(-8).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 49850 and 950.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (2 - 1) + -5 + (101 - 81)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 980749717.9 rounded to the nearest one hundred thousand?\nAnswer: 980700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1222 + -11100?\nAnswer: -20022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20913041, 20913035, 20913029, 20913023?\nAnswer: 20913017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*n**3 - 14*n**3 - 14*n**3 + 41*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1498.1 - -1498. What is the closest to x in -3\/2, -1\/10, 3, 2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8271 by 9.\nAnswer: -919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 186\/(-15)*-3 - 14\/70. Is m\/((56\/(-2219))\/(-8)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 - 277756?\nAnswer: -277755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**3 - 7 + u**2 - 32215*u + 16074*u + 16100*u. Give x(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1273350 or 1273349?\nAnswer: 1273349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*h - 5*h + h)*(-2*h**2 + 3*h - 3*h) + (-6 + 3 + 1)*(8*h + 9*h**3 + 0*h**3 - 7*h**3).\nAnswer: 4*h**3 - 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 6 - -660?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 696 = 129. Suppose 5*j = -0*j + q. Is 24 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, o: 5, v: 8}. What is prob of sequence vott?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1a0 (base 11) in base 2?\nAnswer: 11100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1440\/150 - 8)\/(1\/15).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 441.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**3 + 13*a**2 - 2*a + 19. List the prime factors of q(-13).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13779284 to the nearest integer?\nAnswer: 3712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the first derivative of 8 + 46\/3*k**3 - 2*k - 1\/2*k**2. What is the units digit of g(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1275*y - 690 + 14603 = -44737 for y.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -3*x - 12. Let g(v) = -9*v - 35. What is -17*a(l) + 6*g(l)?\nAnswer: -3*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -107*t + 1841. Determine w(17).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.8 + 2.2. Let x be (1 - 3)*(-220)\/40. Let n = 11 - x. What is the closest to n in 0.1, 2\/7, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -4*i**2 - 8*i**2 + 13*i**2 - 2*i. Let n(v) = -v**2 + 2*v. Give 5*n(q) + 4*y(q).\nAnswer: -q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 75592 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the first derivative of 5*q**4\/4 - 7*q**3\/3 - q**2 + 3*q - 5105. Let t(f) = -3*f**3 + 3*f**2 + f - 1. What is -2*r(a) - 5*t(a)?\nAnswer: 5*a**3 - a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is (3*6\/(-63) - 323595\/(-119)) + 4 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -3*x + 1, 2*n + x = -35. Let g = n - -35. Suppose 18*q = 7*q + 671. Calculate the remainder when q is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**(1\/11)\/x)\/((x\/(x\/x**(2\/9)))\/x))**10)**(1\/10) assuming x is positive.\nAnswer: x**(-13\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1707 - -144. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 15, -4, -2 in descending order.\nAnswer: 15, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17 - v - 5*v + 3*v)*(-v**3 + 0*v**3 + 2*v**3).\nAnswer: -3*v**4 - 17*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - 58287358?\nAnswer: -58287362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**3 + 9*r**2 - r + 6. Let i be j(-9). Suppose 0 = 2*s, s + 17 = 4*b - i. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the first derivative of -57*d**2\/2 - 65*d + 53. Let r be b(-9). What is the greatest common factor of 28 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 74704 and 72703.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 2*k - 9, 2*k - 4 - 7 = -5*o. Let x(v) = 12 + 6*v**2 - 13 + o. Let l(p) = 6*p**2. Determine x(l(r)).\nAnswer: 216*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*u + 43*u = 2. Let n(p) = 4*p - 6. Let k(g) = -5 - 242*g - g**2 + 230*g + 22. Let r(j) = -3*k(j) - 8*n(j). What is r(u)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 487, 504, 555, 658, 831, 1092?\nAnswer: 1459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4240*u**4 + 6*u**2 + 4229*u**4 - 31*u**2 + 3*u**3 wrt u.\nAnswer: -264*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1, 47, 275, 803, 1751, 3239, 5387?\n\"Answer: 20*o**3 - 30*o**2 - 2*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.16  (b) -21  (c) -0.14  (d) -2\/13  (e) -3\/5  (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the third derivative of -47*o**4\/8 - 49*o**3\/6 + 2*o**2 - 31. Let v be n(-9). Round v to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/4*(-35112)\/311619)\/(2\/(-3))\nAnswer: -3\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is two ninths of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 86*u + 278*u + 123*u + 45*u.\nAnswer: 532*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7982, 15968, 23954, 31940, 39926, 47912?\nAnswer: 55898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f - k + 7 = 0, -16 = -3*f + 5*k + 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8 + -3. Let c be (39\/(-18) - -2)*3. What is the nearest to -1\/4 in -3, c, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*p**3 + p**3 + 9773431*p**2 - 5*p**3 - 9773431*p**2.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -3*r**3 + 3*r**2 - 3*r + 4. What is n(2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -16393194*z**2 - 14847961*z.\nAnswer: -32786388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert b (base 13) to base 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.56 - 2.06. Let r = -1.06 + -0.04. Let f = u - r. Sort 1, 2\/7, f in descending order.\nAnswer: 1, 2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 49, 28, -15, -92, -215, -396, -647?\n\"Answer: -2*y**3 + y**2 - 10*y + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b**3\/6 + 11531*b**2\/6 + 4163795*b\/6 + 381985225\/6 = 0. Calculate b.\nAnswer: -11161, -185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 32922*i + 12. Let m be z(4). What is m rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 22 + -17. Let t(o) be the first derivative of -o**3\/3 + 7*o**2\/2 + 9*o - 9. Is 18 a factor of t(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 285323683.\nAnswer: 6991, 40813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - r - 3*r + 0 + 319*r**3 - 7*r.\nAnswer: 319*r**3 - 11*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 80 and 460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 882352 + -869\nAnswer: 881483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the second derivative of a**7\/28 - 7*a**6\/20 + 9*a**5\/40 + 19*a**4\/8 - a**3 - 9*a**2 + 172*a + 6. Let o(f) = 0. What is f?\nAnswer: -1, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-5) - (1 - (-96)\/(-15)). Let m be -1*(-6)\/b*(-10)\/(-4). Solve -2*a = -m*s - 23, 0 = -4*a + 6*a - 4*s - 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102*w + 10*w + 2837765 = -1659011. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u + 2*u - 20. Let z be u - 1 - (4 - 3). What is the least common multiple of 5 and (1*(19 + z))\/2?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 1\/24 of a minute?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 2518, 19570, 65730, 155560, 303622, 524478, 832690, 1242820?\n\"Answer: 2427*h**3 - 8*h**2 + 87*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 6, -2, -0.2, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the second derivative of 29*k**5\/10 - k**4\/4 + 5*k**3\/6 + k**2\/2 - 29*k. Let j be y(5). Suppose -15*r + j = -35744. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 146 greater than or equal to 148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -116 + 3?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -33*f + 2136. Give c(25).\nAnswer: 1311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 248\/72 + (-6)\/2. What is the third biggest value in b, 0.03, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/24 + 10\/8. Suppose 0 = -2*v + 13 + l. Suppose -v*z - 1260000 = -z. Round z to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2319 = 1970*z - 2005*z - 499. Calculate the remainder when 367 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -200 + -1 + 0 + 1. Round r to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5340*f**2 - 793?\nAnswer: 10680*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2061376031?\nAnswer: 11, 13, 31, 465007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -23103110 (base 4) to base 14\nAnswer: -12c28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -117, 8, 0.5, 4 in ascending order.\nAnswer: -117, 0.5, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -5903, -11810, -17717?\n\"Answer: -5907*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/3*(-5)\/(150\/(-9)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*v + 54*v = 30 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in seven eighths of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -16*v**3\/9 - 915198*v**2 - 15443906*v\/9 + 686396\/3 = 0. What is v?\nAnswer: -514797, -2, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the second derivative of -101*r**3 - 537*r**2\/2 + r + 19. Differentiate b(o) wrt o.\nAnswer: -606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/8 - (-43)\/(-4). Let s(f) = 7*f**2 - 50*f + 42. What is the tens digit of s(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 708*j**3*t**3 - 2*j**3*t**2 - 12*j**3 + 220*j*t**3 - 2*t**3 + 3*t**2 + 2*t wrt j?\nAnswer: 4248*j*t**3 - 12*j*t**2 - 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.1, 4, 1\/6, 102, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 + -10. Let q = -2415 - -3408. Is q\/27 - p\/18 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 8*x**2 - 5*x. Calculate the remainder when d(4) is divided by (-114)\/1653 - 814\/(-29).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -g*j**2*o - 9036*g*j**2 - 13*g*o + j**2 - 914*o wrt j?\nAnswer: -2*g*j*o - 18072*g*j + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 164*z - 5*z - 22*z + 2603 = 0 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from {d: 1, c: 4, r: 4, e: 1, o: 3}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -88798 bigger than -88786?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the third derivative of v**5\/60 - v**4\/8 + v**3 - 3*v**2. Let o be u(2). Solve 4*c = -3*f, f - 8 = o*c + 2*f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14 - -18. Let p be (-3)\/(-36)*x*6\/(-7). Let y = 253 + -2279\/9. Which is the fourth biggest value?  (a) p  (b) y  (c) 5  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 9) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 798 and 30058.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the third derivative of a**6\/120 + 3*a**5\/20 + 3*a**4\/8 + 7*a**3\/6 + 2*a**2. List the prime factors of y(-7).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b. Let j be ((-27)\/(-18))\/(6\/8). Let a(q) = 0*q + j*q - 3*q. Calculate a(u(m)).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**3 + 3*c**2 - c - 5. What is y(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 322, 324, 326?\n\"Answer: 2*p + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -46367\/50964 or -2?\nAnswer: -46367\/50964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 5*q + 998, 5*j - q = -0*j + 1678. Is j a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2057 and 7623?\nAnswer: 129591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 4241, 8490, 12777, 17108, 21489, 25926, 30425?\n\"Answer: g**3 + 13*g**2 + 4203*g + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 343970007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 121 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 15241584791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (-1 - 0) - ((22 - 82) + 96 + -22).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -267*v**2 + 12*v + 2. Let x(p) = -p - 5. Calculate a(x(g)).\nAnswer: -267*g**2 - 2682*g - 6733","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*k**2\/5 + 150132*k\/5 + 86089311\/5.\nAnswer: -3*(k - 50611)*(k + 567)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 86496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 divided by -397?\nAnswer: -51\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -3*a + 5. Let v(c) = -2 + 10*c - 14 + 2. Let k(z) = -7*p(z) - 2*v(z). What is k(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -53.6 + 56.6. Let i = -0.9 + 1. Let m be (-4)\/(-6) - 32\/84. What is the closest to i in -0.3, m, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10699\/6 + 1783. Which is the third biggest value?  (a) 230  (b) i  (c) -2\/19  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14 - -8) + (-2 - (-2 - 12)) + -16 + -5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/95 + 5\/(95\/(-17))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 107474 >= 107441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1382*t**3 + 5460*t**2 + 25710*t + 472?\nAnswer: -8292*t + 10920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = 4*m, 14 = 3*f + 4*m + 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (12\/16)\/(2\/8). Suppose -4*k + 19 - y = 0. Suppose -2*r - 36 = -3*l + r, -k*l + r = -45. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (36\/30)\/((-42)\/140)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -27 + -2320545?\nAnswer: -2320574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 333 or 335?\nAnswer: 335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, s: 5}. What is prob of sequence qqq?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 957639?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6835971?\nAnswer: 3, 41, 149, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - t + 2)*(-3*t + 2*t**2 - t - 4*t**2).\nAnswer: 2*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -103472, -103693, -104320, -105557, -107608, -110677, -114968, -120685?\nAnswer: -128032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -12*a - 68. Let t be l(-8). Let n be ((-2)\/(-4))\/((-14)\/t). What is the biggest value in n, 6, 0.5, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 + 9 + (-176)\/(-66).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 23646467 and 793?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -922 - -1002.4. What is q rounded to 0 decimal places?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 2 i when three letters picked without replacement from xiviivviixxx?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2740575.\nAnswer: 3, 5, 36541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -12*a**2 + 73*a - 8. Let q be s(6). Let m(u) = -3*u**3 - 5*u**2 - 5*u. Calculate m(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k\/(k\/k**(1\/17))))\/(k*k**(-3\/5)*k*k)*k**(-6)*k**(-1\/7))**(-13\/7) assuming k is positive.\nAnswer: k**(58799\/4165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -4 + 1 + (-2 - -1)\/(-1). Put -12, -3, c, -8 in descending order.\nAnswer: c, -3, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -r**2\/10 + 50271*r\/5 + 100543\/10 = 0.\nAnswer: -1, 100543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31222 (base 9) to base 8.\nAnswer: -50162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-1*2\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/((116\/48)\/(-29)). Solve -5*w = 14 - x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 4, b: 9, z: 1}. What is prob of picking 3 l and 1 b?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -144*f = 256 + 32 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -33.9, -6, 3\/46?\nAnswer: -33.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -h + 198, 5*u - 3 = 4*u. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((70\/(-28))\/((-5)\/2))\/(2\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(364)\/sqrt(343) + sqrt(52))\/sqrt(4) - 1*sqrt(143)\/(sqrt(77)\/sqrt(7)))**2 + -2.\nAnswer: -85\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*w**3 + 3255*w**2 + 20510*w - 525600 = 0. What is w?\nAnswer: -16, 10, 657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**2 - 4*l - 13. Let z be i(-9). Let b = -8 - -34. Calculate the greatest common divisor of b and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3052 (base 9) in base 6?\nAnswer: 14202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 107 divide 273484403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27020 is divided by 909?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 34178.8545 microseconds?\nAnswer: 0.00000005651265625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 992934 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n + 11. Let h be j(-5). Solve -2*m + 4 + h = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 13 = -11 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*m - 59*m + 5*x + 160597 = 0, -m + 5*x = -53519. Is m a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + s**2 + 2*s**2 + 7*s**2 as o*s + p*s**2 + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4295399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the first derivative of 47\/2*q**2 + 0*q - 5\/3*q**3 + 0*q**5 + 0*q**4 + 34 - 1\/3*q**6. What is the second derivative of x(v) wrt v?\nAnswer: -40*v**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = 5*m + s, -3*m - 3*s - 15 = -0*s. Let d(z) = 5*z**2 + 27*z - 4. Let u(c) = 3*c**2 + 17*c - 1. Let p(k) = -4*d(k) + 7*u(k). What is p(m)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 32 in 3\/8, -2\/11, -4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8325098, 4, 0.3, -2 in ascending order.\nAnswer: -2, 0.3, 4, 8325098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -549885 - 1198919 = -46*v - 99198. Is v a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1802142 at least 102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -297291, -297290, -297289, -297288, -297287?\n\"Answer: c - 297292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/15*-6*5*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -18 - -29. Suppose -10*s**2 + j*s**2 + 5 + 9*s - 25*s + 10 = 0. Calculate s.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13485 + -48779. List the prime factors of (13 - x\/(-28))*8\/(-10).\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00051399 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - f + 0*f = -73, 3*f - 182 = 5*d. What is the common denominator of d and -31\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15 - 10. Let r = -4 + 12. What is the least common multiple of (-1)\/(-4) + 30\/r and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -43826446, -43826449, -43826452?\nAnswer: -43826455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 1. Suppose 15*w = -10*w - 50. Let b(v) = -16 + 9 + 8. Let i(u) = w*a(u) + b(u). Let d(y) = -y**2 - 2*y + 5. Give -d(n) - 6*i(n).\nAnswer: n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**2 + 6*d + 4. Suppose 4*n = r + 2*r + 8, -3*n = -5*r - 17. Calculate f(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*a - 2*a + 2*a + (-5*a + 23 - 23)*(3 + 4 - 3).\nAnswer: -29*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p = 5*d - 449035 + 449060, -5*d + 4*p - 25 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jeejejkkjkkekjeekej. Give prob of sequence kekk.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 13 (base 6) to base 11\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -11102 (base 3) in base 15?\nAnswer: -7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b57 + 4?\nAnswer: b5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**3 - 7*o**2 + 5*o - 19. Let p be b(-8). Suppose -4*q - p*x + 35 = 0, 1 = -q - 0*x + 2*x. Suppose 2*v - q = 153. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**2. Let f(q) = 9*q**2 + 1. Let p(o) = 27*o**2 + 3. Suppose -5*i = -8 - 2. Let k(b) = i*p(b) - 7*f(b). Determine k(d(y)).\nAnswer: -9*y**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*u**5 - 5674*u**4 - u**3 - 2*u**2 + 2*u - 530 wrt u.\nAnswer: 120*u**2 - 136176*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 313243505 by -62648701.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-373)\/5968 + 1730\/1568 + -1.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1632883, -1632878, -1632871, -1632862, -1632851, -1632838?\n\"Answer: q**2 + 2*q - 1632886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x - 2*x = -4*x + 11*v + 26 + 29, 5*x + 32 + 28 = -2*v for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/704 and 107\/640.\nAnswer: 7040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -610 + 631. Suppose -2*h = -k*h + 912. Calculate the lowest common multiple of h and 60.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - 3\/4*u**3 + 0 + 1\/4*u**2 - u**4 = 0. Calculate u.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 3*l = 2*g - 532, -400 = -4*g + 4*l. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(100\/15)*-4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 - 2)*(0*p - 2*p + p)*((5 - 2 - 4)*(3 - 1 + 1) + 1 - 7 + 15) in the form q + h*p and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*p - 5*k + 27, -2*k = -5*p + 39. Calculate the highest common factor of 36 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 649 = 4*i + 225. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 2*s = 5*f - 8273, -s = -3*f + 4968. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -42187480 and -0.4?\nAnswer: 42187479.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1848471 take away 1?\nAnswer: -1848472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -516, -2\/15, -0.29?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 325 and 3109405.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -53824 divided by -4?\nAnswer: 13456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -31 + 123 + -1 + 7 - 36\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1e9bb048 - 3?\nAnswer: -1e9bb04b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 85*n*r*w - 160362*n*r + 230*n*w + 37558*n + 3 wrt r.\nAnswer: 85*n*w - 160362*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 626 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.4032 + -9.4044. Let u = 10 + -4. Let p = u + s. What is p rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -62\/75439 and -51\/25753?\nAnswer: 21349237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1ac0 + 0?\nAnswer: -1ac0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 i, and 2 g when four letters picked without replacement from gihiioiighohiii.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 (base 10) in base 5?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 197 = x - 0*z, 3*x - 3*z - 597 = 0. Differentiate -202*k**3 + 12*k**2 + x*k**3 - 12*k**2 + 15*k - 278 with respect to k.\nAnswer: -6*k**2 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/790097 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 34973 and 1312.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2541 is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 502164, 501920, 501676, 501432, 501188, 500944?\n\"Answer: -244*f + 502408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7443.81ml to litres.\nAnswer: 7.44381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000861 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/33 - (-2003)\/(-2244). Let v = h + 3\/68. Let j = -0.1137 - -0.0137. Which is the closest to v?  (a) -4  (b) -0.4  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the second derivative of -4*s**4\/3 - 35*s**2 + 4039*s. Let c(z) = 2*z. Give c(q(a)).\nAnswer: -32*a**2 - 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 16\/25 and -11\/5.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xkxcxxkdxckc. What is prob of picking 1 k and 3 x?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 108*c**2 - 323*c + 3364. Is 24 a factor of n(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**4 - 51*i**3 + 810*i**2 - 2916*i - 17496.\nAnswer: (i - 18)**3*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*n - 1 - 1 - n)*(-558 + 558 + 112*n) in the form t*n + u + o*n**2 and give t.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.377441ml in litres?\nAnswer: 0.007377441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2079 and 12244419?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:13 PM and 5:29 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -278925, -1115714, -2510353, -4462842, -6973181, -10041370?\nAnswer: -13667409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 9\/21 - (-204)\/14. Let y(a) = -a**3 + 14*a**2 + 15*a. Let l be y(d). Suppose l = -3*g + 85 - 10. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1 + 0)*-2*(-3)\/(-15). Let z = -0.8 - -0.4. Which is the third smallest value?  (a) z  (b) w  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1343 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the second derivative of -g**3\/3 + 7*g**2\/2 + 2*g. Let n = 12 + -3. Let l(h) = h - 3. Give n*l(d) + 4*r(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ooocjql.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -68574090, -68574087, -68574084, -68574081, -68574078, -68574075?\n\"Answer: 3*s - 68574093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j**2 - 9035*j + 9040 = 0.\nAnswer: -1808, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-110)\/10*(-6)\/6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 439*l**2 - 17*l - 17. Let a be j(-1). Let h = -120 + a. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 286 - 286. Let t be (15\/5 - 2) + (251 - q). Calculate the highest common factor of t and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/(-10))\/((-16)\/72) + (-72 - -75)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 9 - (10 - (30 + -43))) + (65 - 62).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:25 PM and 11:49 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.577 + -0.177. Sort 0.05, w, -3, -5 in decreasing order.\nAnswer: w, 0.05, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16717, -33308, -49899, -66490, -83081, -99672?\nAnswer: -116263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -77373 - -1933323\/25. Let f = t - -40. Which is the third smallest value?  (a) 2  (b) -0.3  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/7008 and -79\/4672.\nAnswer: 14016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 3*b - 54 = 2*m, 5*b + 5*m + 65 = 0. Let g(d) = 3*d**2 - d. Let r = -11 - -26. Let t(z) = 23*z - 4*z - 10*z**2 - r*z. What is b*g(o) - 4*t(o)?\nAnswer: -2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*m + 15*m - 8 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -81.4 + 81. Put -16, s, 1\/3 in increasing order.\nAnswer: -16, s, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.713536 centuries?\nAnswer: 71.3536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1019?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 664223372*k**2 + 595026537*k wrt k.\nAnswer: 1328446744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 617759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1726\/9 - -192. Suppose -11*w = 3 - 14. What is the closest to w in -2\/7, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2413 + 2685. Solve j = -6*g + 266 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -21179469.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**2 + t + 31. Let m be j(-5). What is the highest common divisor of 8 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15*c + 214*c - 46*c)*((-c + 0*c + 0*c)*(1 + 4 - 4) + 2 - 3*c - 2 - 2).\nAnswer: -612*c**2 - 306*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + 1. Suppose 0 = 2*u - 2 - 28. Let t be 5\/u*9\/15. What is the second biggest value in n, -5, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 380.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 33502093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = 5*d - 496. What is the smallest common multiple of d and 22?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*f - 5*f - 96. Let d = -138\/43 - 134\/387. What is the common denominator of (-18)\/48 + 106\/f and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from vcvvtccvvccvvvvvvcv.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7.26 - -10.26. What is the closest to -1\/8 in o, -2\/15, -0.1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 21083, 42484, 63885, 85286, 106687?\n\"Answer: 21401*p - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -744901 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 540 and 135166.\nAnswer: 72989640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 131*z**5 - 2*z**4 - 6*z**2 - 27*z - 112 wrt z.\nAnswer: 2620*z**3 - 24*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**2 + 46*c - 430. Let h be p(8). Let u(z) be the first derivative of 3 + 0 + 2*z**2 + 0*z - 2*z - 2*z**3. Calculate u(h).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 2*w**3 + 84*w**2 - 89*w - 91. Determine j(-43).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 494247 times -1.2?\nAnswer: -593096.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1768477?\nAnswer: 1768477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = c + 98, -5*x + 3*c + 104 = 5*c. Solve x = -3*a - 4*d, -3*a + d + 2 - 12 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 9*c - 126. Calculate the least common multiple of n(21) and 270.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 11, -1671, 3\/8, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*h + 33*h = 26. Let a(x) = 9*x**2 - 2*x - 4. Let q(d) = 9*d**2 - 3*d - 5. Give h*q(u) + 3*a(u).\nAnswer: 9*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - 14 - (19 - 4 - 19)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*l - 670428 = -95*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 times 0.03317976?\nAnswer: -0.006635952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = -3*t + 3*b, -2*t + 23 = 11*b - 16*b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.717208ml to litres.\nAnswer: 0.006717208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 714 = 3*d - 6*d. Let l = d + 998. Suppose -7*p - p = -l. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/21  (b) -0.2  (c) 0.3  (d) -5  (e) -316  (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1494 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 3794 = -3*p, -275 - 473 = -j + 3*p. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-124)\/(-130) - (-2)\/10. Let j = -49\/65 + t. Let k = -55 + 219\/4. Is k > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in five sixths of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l - 50 + 58, 0 = 5*f - 2*l - 34. Let a be 5\/(-2 + 14\/6). Let g = a + -11. Solve -2*j = g*y - j - 5, -y - 5*j = -f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 202*r - 52*r + 89*r = 1434 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2225 and 1200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 2*k - 49. Let r be o(27). Calculate the highest common divisor of r and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - -2 - (26 - 21).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g - 6. Let x be s(-8). Let l(z) = 7*z**2 + 7 + 0*z**2 - 2*z**2 - 4*z**x - 7*z. Give l(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -885 = -2*t - t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35203 = 39*w - 32*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 7\/4 - (-3)\/12. Let o(t) be the third derivative of 1\/24*t**4 + 0*t**3 + t**p + 0 + 0*t. Let h(q) = 4*q**2. Calculate h(o(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6958 - 6957.5. Let c = -10.5 - -3. Let k = 7 + c. Sort -0.1, 1.5, k, f in decreasing order.\nAnswer: 1.5, f, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-41)\/(-41))\/(2\/10). Sort -5, 64, w, 3 in increasing order.\nAnswer: -5, 3, w, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1292 and 3.\nAnswer: 3876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-237)\/(-2))\/((-63)\/(-420)). Suppose 0 = 2*n - z - 232. What are the prime factors of n?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and 725809.\nAnswer: 72580.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63186 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (7 - (-1 + 13 + -6)) + 7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -66 - -118. Suppose 68 = -4*v + 4*k, 0*k + 44 = -4*v - 2*k. Let s be 372\/a + 2\/v. Solve 3*b - s*b = -12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the third derivative of -f**8\/448 - f**7\/56 + f**6\/2 - 7*f**5\/2 + 25*f**4\/2 - 26*f**3 - 2*f**2 + 155. Solve w(x) = 0 for x.\nAnswer: -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -16, 5, 1, 8, 18.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18)\/((-180)\/(-5))*44.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-33)\/6*2*-1. Suppose 0 = 6*w - l*w - 54500000. Round w to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1.0457 and 13076.6.\nAnswer: 13075.5543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -85, -343, -773, -1375?\n\"Answer: -86*q**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54 = -3*v + 177. Suppose 2*x - v = 5*u, -3*u = -x + 23 + 2. Let g be (-3)\/u + (-7)\/12. Which is the nearest to g?  (a) 0.4  (b) 0.2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2039444 or -2039449?\nAnswer: -2039449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y = m - 11, 205*m - 201*m + y = 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 - -6. Let v(l) = -l**2 + 3. Let s be v(0). What is the third derivative of -2*d**2 + 5*d**2 - 2*d**f - 2*d**s wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 - (3 + -10)) + -1 + 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((m\/m**4*m)\/m*m)\/m)\/m)**(2\/39) assuming m is positive.\nAnswer: m**(-8\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -171*d + 210597*d**4 + 2*d**3 - d**3 + 1 - 210423*d**4 wrt d?\nAnswer: 2088*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.06 - -0.04. Let n(r) = -21*r - 484. Let u be n(-23). What is the closest to y in 0.3, u, -1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -37389*k**3 - 2057*k. Let r(x) = -109*x**3 - 6*x. Give -2057*r(j) + 6*z(j).\nAnswer: -121*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-300)\/1708 + (-3)\/(-21). Is -2.4 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the third derivative of -1\/12*g**4 + 0 + 3*g + 0*g**3 + 1\/60*g**5 + 18*g**2. What is k(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39857437?\nAnswer: 283, 140839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 + (-6 - (17 - (41 - -4)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 240278339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -56.29 - 12.2485\nAnswer: -68.5385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(1\/7)*a*a\/a**(-27)*(a**0)**15 assuming a is positive.\nAnswer: a**(204\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**3 - 28*x**2 - 34*x + 9. Determine i(-27).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 80*w + 18 - 98 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 24 = m. Suppose -w + l = -19 - 21, -3*w - 5*l = -120. What is the highest common factor of w and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -285 + 304. Calculate the remainder when t is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -83458 + 1997*d**3 + 83456 + 3737*d - 5656*d**3 wrt d.\nAnswer: -21954*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -16*t**2 + 24*t - 65. Let u(h) = 51*h**2 - 72*h + 203. Let f(y) = -19*m(y) - 6*u(y). Determine f(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -6 - -1a?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 85*h = 82*h - 25, -5*r + 1951*h - 1947*h = 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-9)\/15 + (-74)\/10. Let l be (-6)\/v - (-2)\/8. Which is the second biggest value?  (a) -0.5  (b) l  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*2\/88 + 2149\/10131.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.21808022 rounded to four dps?\nAnswer: -0.2181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1746272716?\nAnswer: 2, 613, 712183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16765 and 71015.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -5*w**2 + 1. Suppose -j - 5 = -4*o + 2, 4*o + 2 = -2*j. Let t(f) = 4*f**2. Let s(c) = j*r(c) - 4*t(c). What is the first derivative of s(z) wrt z?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -49 + 265839.691445\nAnswer: 265790.691445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 9*a - 1. Let c be (-4)\/10 + 66\/(-10). Let t(w) = -28*w + 4. Let k(h) = c*x(h) - 2*t(h). Is k(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5082 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-9)\/(-60) + (-1)\/(-4). Let f = 232.4 - 232.4. What is the closest to -5 in f, p, 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4*9 - (-1)\/(-1). Suppose -f - 40 = -3*y. Suppose 0 = -3*u + y - 10. Calculate the remainder when 14 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 865843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 12.7 - 12.5. Suppose -2*k = -4*k. Are k and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 762 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -18*r**2 + 252*r + 522. Determine y(-8).\nAnswer: -2646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-328)\/22 - (-304 + 289))*(0 - 1).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16 and 55696?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -55 + 34. Let u be (-101699067)\/k + 6\/21. Let n = u + 6557187. What is n rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(2\/5))**(-27)\/(u*u\/(u\/((u\/(((u**3*u)\/u)\/u*u))\/u))*u*u*u**(-1)*u) assuming u is positive.\nAnswer: u**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 173\/294 and -71\/894.\nAnswer: 43806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**1\/r*r)**(-2\/15)\/(r**(2\/3))**(1\/55)*((r*((r*r**(-1)*r)\/r*r)\/r)**36)**(-30) assuming r is positive.\nAnswer: r**(-178246\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 5*g**3 + 5. Let m(d) = -d**3 + 17*d**2 + 200*d - 5. Let v be m(25). Let c(i) = 6*i**3 + 4. What is v*c(l) + 4*s(l)?\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -67, 21653, 3 in decreasing order.\nAnswer: 21653, 3, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -764 (base 10) in base 5?\nAnswer: -11024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 18913 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 14b6 - 1a4a?\nAnswer: -564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c**3\/9 - 83063*c**2\/9 + 193828*c\/3 - 55380 = 0. Calculate c.\nAnswer: -83070, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 702 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 623958 or 623764?\nAnswer: 623958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.455864349+2\nAnswer: 1.544135651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -42  (b) -9  (c) 66  (d) 0.2  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (3*2\/(-15))\/((-8)\/2060) is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.64  (b) -12  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes after 6:32 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 7*o + 5. Let x(b) be the second derivative of b**5\/30 + b**4\/8 + 2*b**3\/3 + b. Let g(a) be the second derivative of x(a). Determine 10*g(r) - 6*p(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-81)\/12 - (1 + -2). Let r = 11\/2 + y. Are 7 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8\/7*t**3 - 74\/7 + 32*t + 290\/7*t**2 = 0.\nAnswer: -1, 1\/4, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*d**3 + 97*d**4 + 9*d**3 - 78*d - 716*d + 170*d**4 + 3*d**4 wrt d.\nAnswer: 3240*d**2 + 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-18))\/((-105)\/(-180))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -1091*h - 2. Let i(a) = -5*a. What is i(c(k))?\nAnswer: 5455*k + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (35 - 9 - 14)*(32*r - 5*r - 3*r).\nAnswer: 288*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0*(1 - -2)\/6. Suppose 3*m + j*p = -5*p + 18, 0 = -m - 2*p + 7. Suppose -t - m = -12. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 - -11. What is the third smallest value in 9, s, -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:26 PM and 11:10 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 9*q**3 + 3*q - 2. Let m be v(2). Let f = m + -74. Solve -3*j + 2 = f*r, 17 = -5*r - 2*j - 0*j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-9)\/(-12)*((-378903)\/(-21) - -1).\nAnswer: 3, 13, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 395 + 322698111?\nAnswer: 322698506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11150 and 171400?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 60\/24*84\/(-30).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 505395 and 78705?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 13, 1, 219973 in ascending order.\nAnswer: 1, 5, 13, 219973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/66 and 79\/88.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00006118 rounded to six decimal places?\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**3 - 457*x**2 - 5288*x + 631. Determine y(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (28\/16 + -2)*0. Suppose a = 9*n + 10*n - 152. Solve -4 = 3*d + 5*f + n, 3*f = -9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -206*x - 618. Let n be v(-3). Solve -3*b + m + 4 = -n*m, 2*b + 4*m = 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2 - 2)\/4 - -6. Suppose -f + 3*f - 10 = 2*v, 3*f = -g*v - 1. Let j(c) = -7*c + 1 + 11*c - 5 - f*c. Give j(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -16?  (a) 5  (b) -0.36  (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((6 - 0) + -14 + 0)\/(-2). Solve -3*y + h + 2 = 4*l, -y = -5*l - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109987070 a multiple of 2774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**3 + 11*o**2 + 3*o + 12. Let x be ((-60)\/150)\/((-2)\/(-40)). Does 33 divide q(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -9 - (-2 - 1)*-1. Let m be ((66\/r)\/11)\/((-2)\/16). Differentiate 8*c**m - 2*c**4 + 22 + 2*c**4 with respect to c.\nAnswer: 32*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from syysaayyyccs?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38196785 divided by -3472435.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 339541, 339542, 339543, 339544, 339545, 339546?\nAnswer: 339547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 88623853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + y + 24 = 0. Let n(p) = -3*p + 11. Let x be n(5). Let s be (14 - x)\/((-3)\/(-6)). What is the greatest common factor of s and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 431590529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1678*u + 5*q = 1680*u - 49, 0 = -3*u + 5*q + 66 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(1\/3))**(-14)\/(s**(-1\/3))**32 assuming s is positive.\nAnswer: s**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -d11d3 (base 14) to base 8.\nAnswer: -1725405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3 + (-8)\/(-12)*-3. Let c be 72090\/141750 - (-2)\/(-25). What is the third biggest value in m, 5, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.1 from -102983.\nAnswer: -102982.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - 3. Suppose v*t - 48 = -3. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 59710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 + 2*l**4 - 6 + (-29 + 10*l + 29)*(6 + 0 + 1)*(-l**3 + l**2 - l**2) as f*l**2 + d*l + j*l**3 + t*l**4 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 2*o, 2*v + 3*o + 10 = 5*o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 51131220 and 14608920?\nAnswer: 102262440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + p - d - 4 = 0, 4 = -4*d. Let j be (136 + -133)*32\/12. Which is the nearest to j?  (a) 0  (b) p  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 178412 > 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4297 + -3 + (1 - 0) - 0. Suppose -2*d + z = -6*v + v, 2*v = -3*d - 1718. Round v to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**(7\/4)\/p)\/p*p\/(p**(-6)\/p))\/(p*p**1)**(-1\/2))\/(((p\/(p**(-2)*p*p)*p)\/p)**(-13\/3)*(p**(-2))**43) assuming p is positive.\nAnswer: p**(1189\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 3682*r**2 + 52*r - 32. What is the ten thousands digit of q(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (12\/(-80))\/((-2)\/(-8)). Let t = 85 - 74. Let y = t - 1. What is the second smallest value in 4, y, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 1989*r - 4*r**2 + 3603*r - 7580*r - 2 + 1988*r.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the second derivative of -7\/6*q**3 + 1 - 9\/2*q**2 + 3\/4*q**4 + 58*q. Let m(h) = 5*h**2 - 4*h - 5. Determine -7*m(g) + 4*n(g).\nAnswer: g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 184 - 130. Let i(t) be the first derivative of -t**4\/4 - 8*t**3\/3 + t**2 + 27*t - 12. Calculate the remainder when k is divided by i(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 923.7078ml to litres.\nAnswer: 0.9237078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g - 0*g. Suppose -2*k - k = -n + 5, g = -5*k + 4*n + 1. Let z(v) = -v**3 + 2*v**2 + v - 2. Does 10 divide z(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -23914, -47828, -71742, -95656, -119570?\n\"Answer: -23914*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 2*p - 22. Let q be l(9). Let h be (q*8\/40)\/((-2)\/5). Put -2, h, -6, 0 in ascending order.\nAnswer: -6, -2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 14\/(-10) - 0\/(5 + 1). What is the biggest value in u, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 32451.52 milligrams?\nAnswer: 32451520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -25092 - -527266\/21. Let m = -289\/28 + p. What is the common denominator of m and -89\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -80, -54, 12, 136, 336, 630, 1036, 1572?\n\"Answer: 3*n**3 + 2*n**2 - n - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -450669\/1162 + 2715\/7. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/1)\/(-1)*25\/25?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 3*g = -4*o + 10, 0 = -3*o + g + 30. Suppose 1580 = 6*d - o. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*u**2 + 2*u**2 - 42231131 + 84462264 - 42231133.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a day in hours?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**3 - 4*q**2 + 2. Let x be t(4). Suppose -4*j + 44200000 = -x*j. What is j rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/37355 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 208 divide 3233506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g - 4*o - 4, 2*o + 1 = -1. Let h be 2\/(-7) + 36\/28 + g. What is the greatest common divisor of 8 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*w, -6*p + 5*w + 8 = -4*p. Let d be (p - (-29)\/(-4))\/((-33)\/440). Let o be (-34)\/66 + 20\/d. Which is the biggest value?  (a) o  (b) 1\/5  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -5 + 2 + 5 + 178. Suppose 4*j = -3*c + b, -4*c + 5*j - j + 212 = 0. Suppose 5*w - c = 3*w. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4623913 and 2401?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 222 = -r + 17, 3*r + 2*i = 677. Let a = r + -192. What is the greatest common factor of a and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 53 + -59. Let w be (-4)\/(-10)*(-1 - n). Sort w, -1, -4, 5.\nAnswer: -4, -1, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1219 + 1218. Which is the closest to 0?  (a) -6  (b) -18  (c) m  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 2*k**3 + 22*k**2 - 9. What is s(-11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from ccccbcbbcbbbccbbcb.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*m**2 + 10*m**2 - 6*m**2 + 0*m**2 - 5271 in the form j*m**2 + i + u*m and give i.\nAnswer: -5271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 604144831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7164 and 1109268.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 29, 95, 161, 227, 293?\n\"Answer: 66*z - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 115*g + 116*g + 5 = 0, 2*g = -m - 4. What is the nearest to -1.06 in -18, -1\/2, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 3, h: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-3)\/l**(-1\/18)*(l**(-2\/3))**(12\/7) assuming l is positive.\nAnswer: l**(-515\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w*w\/(w\/(w*w**(1\/3)*w))))**38*w**21\/w**(11\/2) assuming w is positive.\nAnswer: w**(-439\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2 + 4*d + 1. Let i be -2*1 - (11 + -8). Let r be v(i). Let k = 654 + -654. Solve k = -0*g + 3*g - r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 214949200 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that b**5 - 59*b**4 - 51*b**3 + 3107*b**2 - 5830*b + 2832 = 0.\nAnswer: -8, 1, 6, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -375*f**2 + 245*f + 270. Calculate t(-1).\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -6*o**3 - 4*o**2 + 5*o - 9. Let m(q) = 9*q**3 + 6*q**2 - 7*q + 13. Give 7*j(s) + 5*m(s).\nAnswer: 3*s**3 + 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + 102111?\nAnswer: 102101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {s: 1, v: 1, f: 12}.\nAnswer: 66\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 135616949?\nAnswer: 13, 47, 173, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -36*m - 106. Let d be j(-7). Let k be 726\/d - (10 - 5). Which is bigger: -3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -369*o + 5902. Give w(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -52, 1\/3, 0.09, -4\/125?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes after 6:37 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11689, 21388, 31087?\nAnswer: 40786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n**5\/3 + 382*n**4\/3 + 16169*n**3 + 2029574*n**2\/3 - 2374144*n\/3 - 4161536 = 0. Calculate n.\nAnswer: -128, -127, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + (18 + -5 + 0 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjela. Give prob of picking 1 a, 1 j, and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 250299 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.2 and -1120252947?\nAnswer: 1120252946.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2585\/52 - -474\/13. Let x(w) = -w**3 + 38*w**2 + 40*w - 35. Calculate the common denominator of x(39) and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(2) - sqrt(18)\/sqrt(144)) + (sqrt(18))**2 + 4 + -5)*6.\nAnswer: 45*sqrt(2)\/2 + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r + 9. Suppose -15 = 3*g - 3*p, -3*p - 2 = 4*g + 11. Let u = g + 0. What is a(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/2 and (3094\/62608)\/(2\/(-40)*2)?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3c (base 15) to base 5.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 - 0.5. Let x be 12\/42 - (-74)\/(-14). Let i = 0.9 + -0.5. Sort x, i, k in descending order.\nAnswer: k, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 116 = -4*r, 4*r + 47 - 135 = 5*g. Is 3\/((r\/57)\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -10304, 6\/7, 1\/2, 3, -0.1 in ascending order.\nAnswer: -10304, -0.1, 1\/2, 6\/7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z*z*z\/z**(-9\/2)))\/z*z*z\/(z\/z**(-11))*z)\/(z*z**12\/z)**(-1\/29) assuming z is positive.\nAnswer: z**(-933\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 - 0 - 5)*((-18)\/(-10) + -2). Let g(c) = -54 + 27 + 26. Let d(h) = 5*h - 3. What is m*d(z) - 2*g(z)?\nAnswer: 5*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 46.4  (b) 62  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7058708 rounded to the nearest 10000?\nAnswer: 7060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -11 + (30 - 23).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x + x**3 + 2*x)*(-224*x**2 + 117*x - 59*x + 108*x**2 - 47*x).\nAnswer: -116*x**5 + 11*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the first derivative of 0*k**2 + 34*k + 13\/5*k**5 + 49 + 0*k**4 + 2\/3*k**3 + 0*k**6 - 2\/7*k**7. Find the third derivative of a(v) wrt v.\nAnswer: -240*v**3 + 312*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/10)\/((5124\/(-305))\/(-84))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 310 a factor of 88134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8 + 8. Solve i*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6294 or 14?\nAnswer: 6294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2387\/4 or -596?\nAnswer: -2387\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 612287 - 419*l - 612287 + 2*l**2 to u*l**2 + b + z*l and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 23547 smaller than 23549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from jujuuuuppwu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1182, -1252, -1500, -2034, -2962, -4392, -6432?\n\"Answer: -18*a**3 + 19*a**2 - a - 1182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 65 + (325 + -320 - ((5 - 2) + 0 - 2)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 10:08 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 75989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 1 = 1. Let d = s + 35. What is the units digit of (-2)\/(((-22)\/d)\/11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7, 26, 49, 70, 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, 4820469, -3 in descending order.\nAnswer: 4820469, 12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*t - 530 = -439 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 231130 (base 8) to base 13.\nAnswer: 29908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3603*k**2 - 2715*k**2 + 3591*k**2 - 4476*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14225 and 675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3809 = 42*b - 41*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23455 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -134089 + 5.27754\nAnswer: -134083.72246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 256a620 (base 12) to base 9.\nAnswer: 14755226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*d*j**6 + 146*d*j**4 + 710*d*j**2 + 2*j**2 wrt j?\nAnswer: 360*d*j**3 + 3504*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:03 AM and 3:35 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1762 + -8809\/5. Determine d, given that -1\/5*d**3 + 1\/5 + 1\/5*d - q*d**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -4*k + 91, -3*k - 25 = 4*x - 117. Let s be 36\/(-8)*k\/(-9). Let u(c) = -9*c - 11*c + s*c. Let m(t) = -4*t**2. What is u(m(d))?\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -6*c + 14. List the prime factors of o(-12).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.3, -5, -0.01, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) 0.2  (c) 0.1  (d) -5  (e) 408\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from aapappapppapppwapap?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 - w**2 + 0 + (-w - 2*w - w)*(3*w - 4 + 4) + 1 - 1 - 2*w**2.\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 37329654?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, i: 8}. Give prob of picking 3 i.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -2, -32, 2 in descending order.\nAnswer: 2, 0, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 7*u + 1. Let z = 20 - 19. Let k be t(z). Let f(c) = -c**2 + 5*c + 37 - k - 18 - 8. What is f(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3976\/90 - 2\/(-9). Suppose 0 = 2*m - m + 4*n + 48, -3 = 3*n. Let w = i + m. Is w less than or equal to -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 75 - 78. What is the nearest to v in -4, -0.4, -0.3, 0.62?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 92\/75 and -65\/957?\nAnswer: 23925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -755 (base 11) to base 12.\nAnswer: -637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -1.204  (b) 3  (c) -2\/11  (d) -1\/5  (e) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -220 + -15424?\nAnswer: -20044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -587 (base 10) in base 4?\nAnswer: -21023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 33107*c*o**3*x**3 + 3*c*o**3*x**2 + 3*c*o - c*x**3 - 8589*o**2*x**2 + o**2*x wrt o?\nAnswer: 198642*c*x**3 + 18*c*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**3 + 49*p**2 - 2*p - 72. What is i(-49)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 5*r = 8*k + 15, -15 = -k + 5*r. Suppose -4*a + 0*a + 20 = k. What is the least common multiple of 3 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 794*g*j**3*w**2 - 26*g*j**3 + 12*g*j**2*w - j**2*w wrt w.\nAnswer: 1588*g*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3840 divided by 10.\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -4 + 101*g**2 + 19*g - 97*g**2 + 5 - 5. Is t(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -12*y**2 + 2*y - 1. Let u(c) = -14*c**2 + 3*c - 1. Give -6*m(k) + 5*u(k).\nAnswer: 2*k**2 + 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -89581, -177915, -266249, -354583?\n\"Answer: -88334*q - 1247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3701, 5, -5\/2.\nAnswer: -3, -5\/2, 5, 3701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -110*r**3 + 56*r**2 + r + 1433 wrt r?\nAnswer: -660*r + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/(9 + 201)*((-4420)\/(-420) - 11)?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.13774 and -4.\nAnswer: -4.13774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 2*f**3 - 10*f**2 - 19*f - 1. Let j be q(-2). Suppose 3*k = -k + 384. Let t = j + k. List the prime factors of t.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -25d92 (base 14) in base 11?\nAnswer: -64053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 475 - 475. What is the nearest to v in 5, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1))**19\/((y\/y**(-2\/7))\/(y\/((y\/((y\/y**5)\/y)*y)\/y)))*(y\/(y*y\/(y\/(y**(-4)*y)))*y**4\/y)\/(y*y*y**(3\/4)*y*y**5\/y) assuming y is positive.\nAnswer: y**(-757\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1a (base 13) to base 7\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - i = -10. Suppose 0 = l - 2*g - g - 2, -3*g = -i*l + 10. Let h(u) be the second derivative of -u**4\/6 + u**3\/3 + u**2\/2 - 1634*u. Determine h(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20301022 - 12?\nAnswer: -20301100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -2*y**5 + 76*y**4 + 692*y**3 + 1976*y**2 + 2190*y + 828 = 0?\nAnswer: -3, -1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) -10.2736  (c) -23  (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c and 1 z when three letters picked without replacement from {z: 1, l: 3, k: 5, c: 7}.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -451?  (a) 49571  (b) 0.4  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 8702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6, -65, -212, -483, -914, -1541, -2400, -3527?\nAnswer: -4958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**1\/(k*k**(-8)\/k))\/((k**(-1\/4)\/k)\/k*k**(4\/5)\/k) assuming k is positive.\nAnswer: k**(229\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3468*s**3 + 2903*s**3 + 566*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 166 - 170. Sort d, 0, -2, 26 in descending order.\nAnswer: 26, 0, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 523 and 400644150?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 - 14 = 10*g. Solve 6*o = 2*o + j, 0 = -g*o + 5*j + 17 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 170, 109, 8, -133, -314, -535, -796?\nAnswer: -1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.1 + 0.1. Let i = t + 3. Let l = -36 + 38. What is the second biggest value in 1\/5, i, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -40  (b) -0.07  (c) -29  (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*j - 20704 + 41407 - 20703.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o + 20, 27*a - 28*a - 2*o = -570. Calculate the lowest common multiple of a and 4.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 38 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(3\/7)\/r**(-1\/55) assuming r is positive.\nAnswer: r**(172\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*b + 5*g - 15, 0 = 5*b + 3*g + g - 12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 178 + -178. Suppose i = h + 18 - 27. Solve -4*k = h - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the first derivative of 23*v**4\/6 - 9*v**3\/2 + v**2 + 3*v + 67. Let h(p) be the first derivative of x(p). Find the second derivative of h(z) wrt z.\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8779092.\nAnswer: 2, 3, 7, 104513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 2*w**4 - 726366*w**3 - 7990206*w**2 - 22517986*w - 15254148 = 0.\nAnswer: -7, -3, -1, 363194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -13 not equal to 304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10790921 is divided by 767.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 15 = -o. Let z = -3 + 4. Let c(d) = -d**3 + d. Let u be c(z). What is the second biggest value in u, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 86 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 15124839541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 4*w - 3, 5*j + 2*w = -20 + 41. Suppose 0*h + 2*h = -18. Let f be j\/(-18) - 3\/h. What is the second smallest value in -0.13, f, -1\/4?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 151\/42 and -43\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/3  (b) 2  (c) 8.111  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kjppkzog. What is prob of picking 1 j and 1 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -70596\/58157?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/2422420 and -69\/298144.\nAnswer: 19379360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -t + 20. Let s be (32\/40)\/(t\/(-50)). Is s > -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -13*z**2 + 42*z + 33. Let f(w) = 11*w**2 - 40*w - 18. Let l(x) = 6*f(x) + 5*m(x). Determine l(28).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 178 - 185 = a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2, 17, 54, 125, 242?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.8 - -3.2. Let j = q - 4.3. Let n be (-10)\/15*1*-1. Put n, j, 0 in ascending order.\nAnswer: j, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1001*h + 994*h = -21. Put 9, h, -0.01 in ascending order.\nAnswer: -0.01, h, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 621 divide 668148134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 79.6 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 16852.38 kilometers?\nAnswer: 16852380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 24\/(-16)*(-1 + 4\/6). Let s(n) be the second derivative of 1\/20*n**5 + d*n**3 + 0 - 1\/4*n**4 - 1\/2*n**2 + n. Factor s(b).\nAnswer: (b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h = -4*b - 28, 36*b - 39*b - 17 = -2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -5*r + 8. Let n(o) = 2*o + 6. What is b(y) + 3*n(y)?\nAnswer: y + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 134*g + 1 - 105*g - 1 - 36*g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c + 116 = 92. Is 2 a factor of (-1)\/(-3)*15 - c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + sqrt(637)*2 + -5 + 0 + 2*sqrt(637))*6)**2.\nAnswer: -18144*sqrt(13) + 369828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17798*m + 13974*m - 198848 = 0 for m.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -17034.8 from -87.\nAnswer: 16947.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -2*d. Let n be r(-2). Suppose -5*q - n*t = -q - 64, 5*t = -2*q + 44. Let y = q - 4. What is the highest common factor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the second derivative of z**3\/6 + 5*z**2\/2 - 9*z. Let i be x(17). Let t = i - 15. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252)\/(-3*(-3*sqrt(7) - sqrt(7))))\/((sqrt(96)*-3*2)\/sqrt(8)))**2.\nAnswer: 1\/1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes after 4:09 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 3*j + 2. Let i be -1 + 7 + j + 2. Suppose i = d - 14. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 329 in -0.14, -5, 0, 24, 3, -23?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*u + 23 = -103 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-1 - 2)*640\/(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2376 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 341\/(-124) + 1*3\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -17602359 divided by -2017\nAnswer: 8727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/2)\/(-6*(-22)\/33)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a. Let j be l(-4). Suppose -7 = 13*z - 7. Solve -2*i + j*i - 8 = z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 10033*i + 90308. Give z(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 194*y**2 + 200*y**2 - 2*y**4 - 548*y**2 - 11*y**6 wrt y.\nAnswer: -1320*y**3 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -96759 - -480016. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/325*13*2\/(16\/(-30)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the first derivative of 20*z - 13 - 1\/2*z**2. What is the remainder when 42 is divided by c(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 2 = -0. Let g be 1*(-21)\/(-9)*(-6)\/v. Suppose -310 = -g*r + 2*r. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 12*b**2 + 6. Let a(v) = 11*v**2 + 5. Suppose -i + 22 = -4*p, -2*p = 2*i + 3*p + 8. Calculate i*a(k) - 5*h(k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2123409570 to the power of 1\/3, to the nearest integer?\nAnswer: 1285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 to the power of 1\/2, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 15039 in -0.4, -5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 - -9 - 1)*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.17 + 31.05628.\nAnswer: 30.88628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 (base 5) in base 7?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v + 0*v - 2*v)*(-912*v + 64*v - v)*(-5 + 3 + 5).\nAnswer: 7641*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-30 + 6 - 6)*((-2*z + 2*z + 2*z**2)*(1 - 9 + 0) + 4*z**2 - 5*z**2 - 2*z**2)*(3*z**2 + 0*z**2 + 0*z**2).\nAnswer: 1710*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 + 6*h**2 - 11*h - 15. Let r be z(-7). Let w = r - -76. What is the second derivative of 14*i + 11*i**3 - w*i**2 + 89*i**2 wrt i?\nAnswer: 66*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/(-10) + -8*(-4094)\/20 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -87 (base 12) to base 11\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1726*k + 877*k + 400 = -869*k for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 17 + -11. Let l be 20\/i*(-21)\/(-14). Suppose 0 = -2*q - q - 3, -b + l = -4*q. Put 2, b, -3 in decreasing order.\nAnswer: 2, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the second derivative of z**4\/60 + z**3\/30 + 6*z. Factor t(r).\nAnswer: r*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the third derivative of -o**5\/15 - o**4\/6 - 9*o**2. Factor t(g).\nAnswer: -4*g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, -2\/9, 3\/89?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*c**4 + 2*c**2 - 2*c**2 + (-3*c**2 + 3*c**2 + c**2)*(-c**2 + 0*c + 0*c) - 153*c**3 - 22*c**4 + 153*c**3 + 10*c**4 - 31*c**4 + 8*c**4.\nAnswer: -38*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 - 3) + 12 + -1. Let w be (6 + -5)\/(1\/j). Solve 3*i = 6*i + w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4572 - 2477. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -8, -16, -24, -32?\n\"Answer: -8*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 - 0.30006333\nAnswer: -0.40006333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2299) - (3 + 1 + sqrt(2299)) - sqrt(2299)*-2*6)**2.\nAnswer: -1056*sqrt(19) + 331072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, t: 1, r: 1}. What is prob of sequence rr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v + 170 + 24. What is the second derivative of 8*i + 13*i - v*i - 58*i**5 wrt i?\nAnswer: -1160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 152 and 14409866.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((0 + sqrt(475) + sqrt(475))*1)**2 - (sqrt(475) - (sqrt(475) + (sqrt(475) - (sqrt(475) + -1 + -2*sqrt(475)) - sqrt(475)) - sqrt(475)))**2)*3.\nAnswer: 5697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -46, 0.5, 207, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 344900 to the nearest 10000.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 17663 - 3250073\/184. What is the common denominator of 27\/16 and p?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5125868 greater than -5125870?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/5 and 31\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 185576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5707018?\nAnswer: 2, 2853509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20 and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 11*n**3 + 3 + n**3 + 1.\nAnswer: -10*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -26 - (38 + -10 - (0 - 3)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 4*k, -5*s + k + 0*k + 28 = 0. Suppose s*d = 11*d. Solve 9 = -3*g - d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in fourty-two fifths of a tonne?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-5*(-2*sqrt(170) + sqrt(170))*-3)\/(((1*sqrt(70) - sqrt(70) - sqrt(70) - sqrt(70))\/sqrt(7) - ((sqrt(1210) - -2*sqrt(1210)) + sqrt(1210)))*-2).\nAnswer: -45*sqrt(17)\/92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 - 2813768.382338.\nAnswer: -2813760.382338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1240822 (base 12) in base 13?\nAnswer: 97bc0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 45379*m**4 + 3*m**3 + 589241*m**2 wrt m.\nAnswer: 1089096*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3332 divided by -10?\nAnswer: 1666\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13 - 29. Let g = 1163 - 1123. Let x = v + g. Which is smaller: x or 25?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1512 (base 7) to base 11.\nAnswer: -4a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -125, -112, -113, -134, -181, -260, -377, -538?\nAnswer: -749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 16*t - 82. Determine m(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 583673?\nAnswer: 583673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -4*j**2 + 5*j - 3. Let x(y) = 3*y**2 - 5*y + 2. Let f(n) = -3*x(n) - 4*z(n). Let p be f(-5). Suppose -b - p = -3*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -9 - 2*z - 10 + 4 - 18*z**2 + 15 - 8. Let v(c) = 12*c**2 + c + 5. Let n = -135 + 130. Give n*a(f) - 8*v(f).\nAnswer: -6*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-826)\/(-3))\/(62\/279)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -82*f + 43*f + 39*f + 5*f**3 - 1. Suppose 0*c - 42 = -3*c. Let g(b) = c + 14 - 27 - 2*b**3 - 2*b**3. Calculate 3*g(a) + 2*x(a).\nAnswer: -2*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -7 - (-2 - (0 - -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from xxxtxxttxxxxxxxxxx?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 5*o - 23 = 0, 2*p + 0*o = -3*o - 11. Factor 1289*t - 1329*t - p*t**2 - 2*t**2.\nAnswer: -4*t*(t + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**2 - 4*p + 443. Let c(u) = 3*u**2 - 10*u + 883. Give -2*c(q) + 5*i(q).\nAnswer: -q**2 + 449","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/3, -113, -6, 0.3, 4\/11, 3\/2 in ascending order.\nAnswer: -113, -6, 0.3, 1\/3, 4\/11, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**7*f**(-3\/10)\/f)**(-16) assuming f is positive.\nAnswer: f**(-456\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -237, -241, -259, -297, -361, -457, -591, -769?\n\"Answer: -i**3 - i**2 + 6*i - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 279*h**2. Let c(n) = -5*n. Calculate c(l(u)).\nAnswer: -1395*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.142 greater than or equal to -1\/188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1280.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 + (-1 - -1))\/(24\/(-48)). Differentiate 6 + 0*c - d*c + 18*c**4 - 8*c**4 + 5*c with respect to c.\nAnswer: 40*c**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 687523454 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i + 8. Let j be c(-6). Suppose 7 = -f - 2*o - 3*o, -o + 3 = -j*f. Let y be 12\/(5 + f) - 1. Solve 5*q + 22 = -y*l, -5*q - 27 = -2*l - 0*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 4*q + 4. Let o be g(0). What is the derivative of 57 - 18*j**4 + 66*j**o + 5 wrt j?\nAnswer: 192*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9126 and 378.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 + 3.4. Let o = 0.1 + r. Suppose 5 + 7 = -4*u. Which is the second biggest value?  (a) 4  (b) u  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -2*k**2 - 9*k + 4. Let q(r) = -r**2 - 5*r + 2. Let g(c) = c**3 + 10*c**2 + 6*c - 24. Let h be g(-9). Determine h*a(f) - 5*q(f).\nAnswer: -f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61337*p + 61592*p - 7643 + 13529 = -14514 for p.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes after 2:52 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) 0  (c) 0.016  (d) 26\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -199 + 200. Let f = -0.237 - -0.037. What is the closest to 4 in -2\/3, i, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.19 and 5\/8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 56 - (97 + -2) - 18.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 54.6918921 + -64.69189214. Let h = z - -10. Round h to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1130044967 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 225, 775, 1687, 2955, 4573?\n\"Answer: -o**3 + 187*o**2 - 4*o + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 99\/782 and 95\/106.\nAnswer: 41446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -524151187*-0.2\nAnswer: 104830237.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g\/(g*g**(-13))))\/(g**(1\/5)\/g) assuming g is positive.\nAnswer: g**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1 * -214\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2\/5 - 13369*m\/5 + 13368\/5.\nAnswer: (m - 13368)*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13.68541412 + -76.68541447. Let s = b - -63. What is s rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-24)\/21 + 2)\/((-9)\/(-546)). Suppose -h*k + 37*k = -3075. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -111 - (151 - 178) - (-5 - (1 - 2))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the second derivative of a**4\/12 + 5*a. Let d(h) be the second derivative of -5*h**3\/2 - 3*h - 4. What is d(l(x))?\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/27501, 2, -3?\nAnswer: -2\/27501","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 15, 38, 85, 162, 275, 430, 633, 890?\n\"Answer: w**3 + 6*w**2 - 2*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 47 + -88. Let b = 57 + j. List the prime factors of (76\/b)\/(2\/8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -81.40632 and -0.5.\nAnswer: 40.70316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 - 4*l + 4. Let w be k(4). Suppose 0 = -w*u - u + 20. Solve 0 = 4*a + 2*c - 6, -u*a + 5*a + 1 = 2*c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32503027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:51 AM and 7:22 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1095 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*a**3\/15 - 724*a**2\/15 + 9920*a\/3 + 608000\/3 = 0. What is a?\nAnswer: -38, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(4 + (sqrt(19) + -2 - sqrt(19))**2) + sqrt(190)\/(sqrt(1000) - sqrt(1000)*-2).\nAnswer: -8 + sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 1065*j + 20819. What is h(-19)?\nAnswer: 584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.81?  (a) 193.2  (b) -4  (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 181308 is divided by 16453?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 - 52 = 28*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -31681\/5 - -6395. Let g = c + -61. Calculate the common denominator of 101\/16 and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the third derivative of 27*l**4\/4 - l**3\/6 + l**2 - 51. Let j(k) = -2*k. Give j(p(g)).\nAnswer: -324*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 + 10*w**2 - 14*w + 14. Let o be r(-11). Let a = o - -17. Suppose -2*i - 2*d + 0 + 42 = 0, -d = -4*i + a. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o = -10*o + 80. What is the least common multiple of o and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16046 rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -10, -31, -74, -145, -250, -395, -586?\n\"Answer: -v**3 - 5*v**2 + v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 41\/2 - 21. Which is the closest to g?  (a) -0.2  (b) -5  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5\/(5\/(-4)) - -24. Solve 5*s - 5 = 0, 3*s - l + 2 = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6034601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 893 divided by 27?\nAnswer: 893\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9339965 and 160?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 92543 to the nearest 1000.\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -30104 - -3?\nAnswer: -30101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**9\/j)\/(j\/((j*j**(-2\/9)*j)\/j)))**(-1\/55) assuming j is positive.\nAnswer: j**(-14\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - 8*z + 12 = -5*r, -2*r - 3 = -3*z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.08 - 0.22. Let w = 2 + -2.1. Let x = -2.1 - w. Which is the biggest value?  (a) x  (b) g  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 73*108.\nAnswer: 7884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 41159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t - 5*t + 4*u + 24, -9 = -2*t - u. Solve 5*y + t - 26 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**3 + 8*a**2 + 8*a + 10. Let n be m(9). Let b be 14*n\/2 + -2. Solve -4*o + 19 = -b*j, 0 = 5*j + 4*o + 10 + 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 560 - 393. What are the prime factors of s?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 208 is divided by 60?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 2\/(-14))*(45 - 42).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18)\/(-3*sqrt(96)) + -3*(sqrt(3) - (-2*sqrt(33) - sqrt(33))\/sqrt(11)))**2.\nAnswer: 21025\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 19*k + 7. Let h(r) = 1. Let q(w) = -2*h(w) - p(w). What is the tens digit of q(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1797*k + 3029*k - 1391*k + 832*k + 1881*k to n*k + w and give n.\nAnswer: 6148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*w + 4. Let y(a) = 1 - w*a + 5*a + a**2 + a. What is y(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*d**4 + 3 - 2*d**4 + 3*d**4 + 18*d**3 - 18*d**3 - 2*d**4 + 2*d**4 - 5*d**4 + d**4 + (d**2 + d**4 - d**2)*(-2 + 0 + 1).\nAnswer: -6*d**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(2299) + (sqrt(2299) + sqrt(2299)*-2 + -1)**2).\nAnswer: -11500 - 165*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 402.82 times -1102?\nAnswer: -443907.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.122 - 0.082. Put -5, r, 4 in increasing order.\nAnswer: -5, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 20859*a**3*f*z - 9059*a**3*f - 2*a**3 + f with respect to z.\nAnswer: 20859*a**3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1219131*m**4*s**2 - 9*m**3*s**2 + 213*m**2*s**2 + 7*m**2*s + 2*m*s**2 + 186 wrt m.\nAnswer: -29259144*m*s**2 - 54*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add 1251880.26 and -17268.7.\nAnswer: 1234611.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(-3)*w*w*w*w**6\/w)**(-35) assuming w is positive.\nAnswer: w**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9438632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.3, 5, 0.1, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-12)\/15*6*10\/8. Let y = 21 - m. Suppose 5*c - 415 = 2*j, 2*c - 97 - 70 = j. What is the greatest common divisor of c and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 14797720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kekkkkeeo. What is prob of picking 2 k?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7910 - -7910. Sort -0.3, f, 608, -4 in decreasing order.\nAnswer: 608, f, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-672)\/(-140) - (4 + 0))\/2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 62438275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -22 * 22\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*b**2*y**3 - 2*b**2*y**2 + 455*b**2*y + 30*y**3 wrt y.\nAnswer: 30*b**2 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 4\/34*(-1672)\/1672\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11113134201 (base 5) to base 6.\nAnswer: -1114202154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 100*f + 238 = 218*f - 104*f for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, m: 7, r: 7}. Give prob of sequence krr.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -156\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b + 31. Let c = -172 - -294. Let u = c + -79. Calculate the remainder when u is divided by h(9).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-32)\/(-3)*21\/(-14). Let b = r - -18. Solve -n - 5*i = -b*n + 3, 0 = -n - i - 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 95583.\nAnswer: 3, 151, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 147984 and 20476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -104889 (base 11) to base 10\nAnswer: -167440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 3*c + 8 = 0, -50*k + 47*k - 4*c + 6 = 0. Calculate the least common multiple of 162 and k.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**2 + 2*x**3 - x**3 - 19*x - 4 + 14 + 0 + 4.\nAnswer: (x - 2)*(x - 1)*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.4, 4, 29, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9 + 7. Let t be 18\/4 - 1\/h. Suppose 3*u - 5*u = t*r - 345, 513 = 3*u + 3*r. What is u rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-40 - 437 - u + 17)*(-3*u - 8*u + 4*u) to a*u + v + c*u**2 and give a.\nAnswer: 3220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 2 = 9. Let d = i - 4. Is d - -30*(3 + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2852\/21165 + -2\/1411. Is l equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*q + 2*q**3 - 6*q + 1 + 2*q - q**3 + 2*q**2 - 11*q**4 + 4*q in the form t*q**2 + f*q + s*q**3 + p + m*q**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1650 - 1154. Suppose -g + 65 = -z. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 - 262103?\nAnswer: -262105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - 9 = -2*z, 11*m - 12*m - 3*z + 11 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 61571596 divided by 562.\nAnswer: 109558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**3 + 12*z**2 - z + 3. Let l be 0 + -1 + 6 + -3. Let n be (-3 + 21\/3)*l. Is o(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 34 = -28*d, 152*d + 3*p + 13 = 148*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1082 - 3073\/3. Let v = g - 57. What is the closest to v in -4, -2\/7, -6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 - 17. Let u(l) be the third derivative of -l**6\/120 - 7*l**5\/60 - l**4\/12 + 2*l**3\/3 - 2*l**2. What is the least common multiple of 12 and u(w)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 56 = -5*y, 2*m = 2*y + y + 48. Calculate the highest common factor of m and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -79211 < -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5604.43 millennia?\nAnswer: 67253160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10891131.\nAnswer: 3, 3630377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 160*g - 214*g + 59*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*l = -16*l - 9. Solve 0 = -u - 1 - l, 13 = -t - 2*u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-4)\/(v*v**(-23)))\/((((v*v**(3\/10)\/v*v*v)\/v)\/v*v)\/v*v**(4\/5)*v) assuming v is positive.\nAnswer: v**(159\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-12)*(-256)\/192.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:14 PM and 1:52 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 174435 to the nearest one thousand.\nAnswer: 174000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 216730 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 0*b + 92 = -4*z, 0 = 3*z - b + 74. Let l = -6 - z. Let w = l + -12. Calculate the remainder when 15 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*v - 77 + 133 = 0. Suppose 4*i - 9 = -3*q, -5*q + v*q + 5*i = -3. Factor -2\/11*u**5 - 10\/11*u + 2\/11 + 10\/11*u**4 - 20\/11*u**q + 20\/11*u**2.\nAnswer: -2*(u - 1)**5\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -4*j. Let k = -435 - -438. Let x(o) = -k*o - 9*o + 0*o + 2*o - 7*o. Determine l(x(g)).\nAnswer: 68*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7.42 - -7.52. Which is the closest to -2\/9?  (a) k  (b) -5  (c) 2\/3  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 - -2d95d?\nAnswer: 2d95f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 times -34?\nAnswer: -748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -2*c**3\/5 - 63416*c**2\/5 - 100754994*c - 17055118692\/5 = 0?\nAnswer: -15837, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.1 + 0.09. Suppose -7*d + 25 = -6*d - 4*l, -2*d + 5 = l. Suppose -22*j - d = -27*j. Sort j, -0.1, i.\nAnswer: -0.1, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 748 and 1147993.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(612)*-2 + 4 + 2 - (((sqrt(612) - (sqrt(612) - (sqrt(612) + sqrt(612)*-1)))**2 + 1 - sqrt(612)) + (5*sqrt(612)*2)**2)).\nAnswer: -61200 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - -1 - (-2 + 1 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 80, 145, 210, 275, 340?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -2*n + 2. Let v be h(-3). Suppose 4*l - 3 = -2*u + 13, 0 = 2*l + 4*u - v. Suppose 8*z = l*z + 8. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -24  (b) -1.7  (c) 0  (d) -1  (e) -3\/7  (f) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(3\/5)\/l*l*l\/l**(-5))**(-30)\/(l\/(l**(-3)*l)*((l*(((l*l\/((((l\/(l*l\/l**6)*l)\/l)\/l)\/l))\/l)\/l)\/l)\/l)\/l*l*(l**1)**(-8)) assuming l is positive.\nAnswer: l**(-189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 2*n + 80, 2*p + n - 15 = 74. Solve 14*t + 145 = p*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.412 rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -22*y + 29*y. Let a = 3 + -1. Put y, a, -5 in increasing order.\nAnswer: -5, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 + 5.76. Let i = -15.952 + 16. Let g = d + i. Round g to 2 dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -4*s**2 + 9*s**3 + 4 + 6*s**2 - 6*s - 8*s**5 - 10 - 2*s**4 - s**3. Let x(f) = f**5 - f**3 + f + 1. Let z(k) = -i(k) - 6*x(k). Factor z(a).\nAnswer: 2*a**2*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**2 + 7*o + 20. Let z be u(9). Solve 0 = -z*k + 6 - 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -16*y. Let c(u) = u. What is -12*c(l) - f(l)?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/1099, -0.5, -1\/3, 156\/5 in ascending order.\nAnswer: -0.5, -1\/3, 2\/1099, 156\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (-3 + 43 + -68 + -13 + -1 + -4)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 14482720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -5*-2279747\nAnswer: 11398735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + 29 = -2*q + 2*z, -4*q + 12 = -4*z for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5724819286 - 0.4963.\nAnswer: -5724819286.4963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 202679 is divided by 65.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 1 = -2. Let x = -1 + d. Suppose 0 - x = -s. Solve -r - s = 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, n: 1, a: 1, d: 1, q: 2, w: 4}. Give prob of sequence ew.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 7*q - 4. Let d(z) = 16*z - 5. Let o(r) = 9*a(r) - 4*d(r). Calculate o(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 11 = 1. Let v be 64\/8 + (-10 - 8\/(-2)). Suppose v*r - 34 = -3*m - 30, 20 = 3*r + m. Put 0, s, 3, r in increasing order.\nAnswer: 0, 3, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + c + 2 + (-7 + 4 - 3)*(-2*c - c + c) to the form k + m*c and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 + 2\/(-4) + (-3)\/2. Let a(b) = -3*b + 1. Let l be a(1). Let o be (l - -13) + r - 0. Does 9 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(7623)*3 + -3*(sqrt(7623)*-2 - sqrt(7623)))\/((sqrt(900) + -2*sqrt(900))*6).\nAnswer: -11*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/(-2)*(-30)\/18. Calculate the common denominator of (d\/(20\/39))\/((-36)\/56) and 83\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*o**2 + 3*o**2 + 0*o**2 + (-2*o + 0 + 0)*(2*o + 0*o - 4*o) - 4 + 4 - 3*o**2 + 5*o**2 + 6*o - 6*o + (0*o + o + o)*(o + 3 - 3).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 166 times 0.2\nAnswer: 33.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 8) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 18329166 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 14 - 7 = -3*w, n + 3*w - 9 = 0. Suppose -3*u + 0*u + 81 = n*r, 61 = 3*u - 2*r. What is the highest common factor of u and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4549 + 4642. What is the greatest common factor of z and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 85 - 168. Let o = a - -82.8587. Round o to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l = -947 - 427. List the prime factors of l - (16\/(-24) + 8\/3).\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -3*d**2\/2 + 159*d - 612 = 0.\nAnswer: 4, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 248 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 29.474 rounded to 1 dp?\nAnswer: 29.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 123.9928 kilometers to nanometers.\nAnswer: 123992800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -12*(-4)\/288*(6 - 0). Which is the closest to d?  (a) 1  (b) -33  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*i + 0*i = -3*i - 1081. Suppose 5*v + 25 = 5*o, -3 = v + 2*v + o. What is the smallest value in -3\/7, v, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*k**3 + 3 + 15*k**2 - 17*k**2 + 1 + 2*k - 6 in the form j*k**3 + u + h*k + t*k**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-15) + (-244)\/(-10))\/(1*63\/(-42))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -8*i**2 + i + 5. Let r be (-2 - -2)\/(-3) + 11. Let h = -7449 + 7443. Let p(q) = -15*q**2 + 2*q + 9. Calculate h*p(f) + r*a(f).\nAnswer: 2*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.7325702 and 2.4.\nAnswer: 4.15816848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of f**2*w**4 + f**2 + 3091*f*w**4 + 8*f*w**2 - 19 wrt w.\nAnswer: 24*f**2*w + 74184*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2397, 3126, 3853, 4578, 5301, 6022, 6741?\n\"Answer: -f**2 + 732*f + 1666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/7 - (-1460)\/14. Suppose 0 = -4*c - c + 65. Calculate the greatest common factor of z and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -2*p + 3*p + p. Let w(b) = -b**2 - 9*b + 6. Let q(r) = r**2 + 4*r**2 - 4*r**2 - 32*r + 8*r - 4*r**2 + 16. Let a(d) = 3*q(d) - 8*w(d). Give c(a(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**2)**(-1\/6)*d\/(d*d**(-9\/2)\/d*d*d*d)*d**(-11) assuming d is positive.\nAnswer: d**(-53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*k + 7*k + 9*k + (2 + 2 - 2)*(0*k - 2*k + k))*(k - 1 + 1)*(3 - 1 + 2).\nAnswer: 80*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-33)\/(-2) + 7\/(-14). What is the highest common divisor of f and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-2))**(-38))**(-3\/28)*(u**(-2\/3)\/u*u*((u*u\/((((u\/(u*u*u**(8\/3)))\/u)\/u*u)\/u)*u)\/u*u)\/u)**(3\/17) assuming u is positive.\nAnswer: u**(-822\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 111 - 39. Suppose 0 = -2*k + 2482 + 1150. Is k\/c + (-4)\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12 + 4 + 0)*(3894 - 3894 + 155*n).\nAnswer: 2480*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6488 by 3.\nAnswer: -6488\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.002  (b) 865  (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -4*t**3 - t**2. Let m be n(-1). Suppose 2*i = -m*i, 5*f = -3*i + 30. Let k = f - 0. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27423.5046 rounded to the nearest integer?\nAnswer: 27424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the first derivative of -r**4\/2 - r**3\/3 + 2*r**2 + r + 7. Is x(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 582*t**2. Let f(h) = -3*h**2. What is f(v(g))?\nAnswer: -1016172*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/1077516 and 127\/86919624.\nAnswer: 260758872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 29618 and 8032.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -628*a**2 - 14*a - 932. Let y(l) = -419*l**2 - 10*l - 624. Let w(h) = 5*i(h) - 7*y(h). Find the first derivative of w(o) wrt o.\nAnswer: -414*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:21 PM and 1:13 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.0891 and -4.\nAnswer: -3.9109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1853658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 192 = 6*a - h + 197, 4*a + 3 = h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -618 + 4*q**2 - 4*q**2 - 379 + 2*q**2.\nAnswer: 2*q**2 - 997","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 243 and 323960067.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, 832, -2, -4, 9, 5, 4 in decreasing order.\nAnswer: 832, 9, 5, 4, -2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.06387152 - 4.83616748. Let x = -11 + 15.9. Let v = p + x. Round v to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 8268.45 litres?\nAnswer: 8268450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 197*m**3*q**4 + 128*m**3*q - 16236*m**3 + 156*m + 42*q with respect to q.\nAnswer: 788*m**3*q**3 + 128*m**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 - 7. Let r be 3\/4*(-1 + 5). Which is the third smallest value?  (a) j  (b) -3  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 23 + -31. Let u = 44 + -43. Let y be 4*(u - (-12)\/c). What is the smallest value in 0.3, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**28*b**(-25)\/b*b)\/(b\/b**(-6)*b**(-16)) assuming b is positive.\nAnswer: b**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1033 + 3039 = 34*q. Calculate the remainder when 200 is divided by q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -257, -252, -247, -242, -237?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w = -w - 70. Let l = -35 + w. Let j = -6 - l. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.27 + -0.27000007. Round u to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u\/(u**(-2\/5)*u)))**(-10\/13)\/(u**(-5)*u\/(u\/((((u\/u**(-2\/7))\/u)\/u)\/u))))\/((u\/u**0)**7)**40 assuming u is positive.\nAnswer: u**(-24911\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 45*o = 42*o + 3, 0 = 5*o - 25 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) -28  (c) -2364\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*s**2 + 25*s\/4 + 1\/4.\nAnswer: (s + 1)*(24*s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 10*c + 1. Let b be h(2). Is 29 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes after 6:38 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -4*s**5\/7 - 17072*s**4\/7 - 24056688*s**3\/7 - 10858388672*s**2\/7 + 468739165952*s\/7 - 2416314602496\/7 = 0.\nAnswer: -1436, 6, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00414653 rounded to five dps?\nAnswer: -0.00415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 11*z**3 - 2*z**2 - 2*z - 1. Let s be d(-1). Let p be 4\/(-6)*s\/(-4). What is the common denominator of p - -6*58\/40 and 19\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*h - 14 = -20 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 14 - 1099*w**3 + 955*w**2 - 5*w + 262*w**3 - 955*w**2 wrt w?\nAnswer: -5022*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k + 10. Let x be b(-9). Let w be x*3\/3*0. Let z(u) = u + 8. Let l be z(w). Solve m = 4*g + 1, -g + 2*m + l = -3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 91 - 2. List the prime factors of r.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r + 38*h - 40*h + 42, 0 = 3*r - h + 28. Sort 2\/3, 3\/4, 54, r in decreasing order.\nAnswer: 54, 3\/4, 2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -171724 = -7*l + 37919. Suppose -279051 - l = 3*b. Round b to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -24189 + 51*n**2 + 12103 + 12092 to b*n + m*n**2 + p and give m.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -100232630 (base 7) to base 13\nAnswer: -1283c90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1786 - 1821) + 0 + 32 - -69?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -60932, -60921, -60910, -60899?\nAnswer: -60888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 66783 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 divided by -96575.\nAnswer: 12\/96575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/17?  (a) 5  (b) 0.019  (c) -1914\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 233071656?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y**2 - 2*y**2 + 225*y**4 - 168*y**4)*(-2 - y + 2).\nAnswer: -57*y**5 + 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 3 + 1 + (0 - 1 + 2)*(0 - 1 + 3) - 5 + 4 + 2 + 2 - 1 - 2)*(291 + w - 785 - 390).\nAnswer: 6*w - 5304","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -232\/41, 480, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vxxvp. What is prob of sequence xvp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - 4*b. Suppose b = -5*a, -2 = -j - 4*a + 23. Suppose -2 = -3*q - 2*o + 8, 5*q - 5*o = j. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4\/3  (b) 0.1  (c) 0.4  (d) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.060384 millimeters to nanometers.\nAnswer: 60384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*r**2 - 88*r + 45*r**3 + 3 - 53*r**3 + 87*r as b*r + c*r**2 + y + q*r**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(45) + sqrt(540)\/sqrt(192))\/sqrt(9).\nAnswer: 5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:51 AM and 4:19 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1*(572\/(-99))\/26\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1240 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 2*o. Suppose 7 = -5*h + 37. Suppose r = h - 4. Let c(m) = m + 11*m + 4*m - r*m. Determine c(i(k)).\nAnswer: 28*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -72 - -71.92. Let f = 0.08 + g. Which is the nearest to f?  (a) 0  (b) 3  (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22362 (base 9) to base 3\nAnswer: -202102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -2*i + 52, -10*z - 105 = -5*i - 15*z. Let x = 36 - 23. Calculate the remainder when i is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 128365, 128363, 128363, 128365?\n\"Answer: c**2 - 5*c + 128369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z - 2. Let j be i(7). Let s(g) = 6 - g - g + g. Let q be s(j). Calculate the greatest common divisor of q and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*b**3 + 10 - 10 + (-b**2 - b**2 + 3*b**2)*(-8 - 11 + 24)*(4*b + 3*b - 5*b).\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**3 + 3*d**2 + 7*d + 19. Let g(r) = r**2 + r - 7. Let l be g(3). What is the smallest common multiple of 6 and x(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**2 + 3*t + 3. Calculate the remainder when 24 is divided by b(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**3 - k + 1. Let r(w) = w**3 - 2*w. Calculate -2*p(j) + r(j).\nAnswer: 3*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -265, -512, -759, -1006, -1253, -1500?\n\"Answer: -247*a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18775*v + 1693*v**2 + 767*v**2 - 18778*v to the form l*v**2 + r + d*v and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 35, -255, -873, -1825, -3117, -4755, -6745?\n\"Answer: -n**3 - 158*n**2 + 191*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 + 12210221?\nAnswer: 12211010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**3 - 8*i**2 - i + 7. Let q be l(8). Let j be (-1)\/6*(q - 2). Let z = 18 + -236\/13. Is j at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 62262 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -107\/95540 and 191\/185460.\nAnswer: 3152820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -10010010110111001011 (base 2) to base 15\nAnswer: -bd382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*w + 5 + w - 3 + (4 - 3*w - 4)*(-3 + 1 + 0).\nAnswer: 7*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-128)\/(-6))\/((-2)\/(-3)). What is the greatest common factor of n and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**3 - 116*d**2 + 358*d - 2132. Determine m(113).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22082331 is divided by 54256?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + 2. Is y less than 1\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, 0.07, -1\/8, -2, -3\/20 in descending order.\nAnswer: 0.2, 0.07, -1\/8, -3\/20, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17731027 (base 8) to base 7.\nAnswer: 50324100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1410 - -1454. Calculate the remainder when 657 is divided by d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9, 25, 51, 87, 133?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b + 2*n + 8 = 0, -5*b + 13 = 4*n - n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -77 + -27?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x\/(x**(-1\/3)\/x))\/x)**41\/(x**(-1))**(-5))\/(((x**(-1)*x)\/x*x)**(1\/13))**(-31) assuming x is positive.\nAnswer: x**(272\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 290 and 43080?\nAnswer: 1249320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 103*p + 1109 - 285 = 0 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -91\/75 and -14\/3.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 371906 and 7448.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 62, 145, 226, 305?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 251.2 - 251. Let l = -0.3 - -0.4. What is the smallest value in l, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1045?  (a) -84  (b) -0.3  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14976 - 15011. Suppose 3*n = -0*n - 9. What is the second biggest value in -5, k, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*c**3 + 504*c**2 - 1539*c = 0. Calculate c.\nAnswer: -171, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 24 in 3, -12932, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4017288, 8034569, 12051846, 16069119, 20086388?\nAnswer: 24103653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -86*m + 224086 = -223630. Does 52 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 124845 and 2378?\nAnswer: 1189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 16, r: 4}. Give prob of picking 1 r and 1 d.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 + (84 - -4) + 4. Suppose 2*x = 2*k + s, x - 37 = 2*k + 56. Let j = 56 + k. Is 5 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -961 + 966. Let x = -48 - -48.5. Sort -3\/7, x, p in ascending order.\nAnswer: -3\/7, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*n**2 - 22*n**2 - 6*n**3 + 14*n**2 - 78.\nAnswer: -6*n**3 - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 - 7. Let t = -0.1514 + 3.1514. What is the second biggest value in u, 0.5, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 881058 is divided by 31?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 199, 240, 281, 322, 363?\n\"Answer: 41*t + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000005721636 to seven decimal places.\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 124126 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: Calculate prob of sequence zta when three letters picked without replacement from znwattt.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 + 17. Suppose -3*v = -1 - w. Let u(d) = d**2 - 2*d + 3. Let p be u(2). Solve p*m = -10 - v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 228 - -6?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 + 0. Let a(p) = -p**2 - 16*p + 3. Let i be a(-16). Suppose -14 = -c + u*o, -c + 56 = i*c - o. What is the least common multiple of c and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2703\/6 + 0)\/((-281945)\/(-66340))\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let 270*c**5 + 1091439*c**4 - 1783329*c**3 + 303393*c**2 + 376095*c + 12132 = 0. What is c?\nAnswer: -4044, -1\/3, -1\/30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g - 5*b - 1, g - 2*b - 7 = -0*g. Suppose -2*j + 2 = 4*k - 14, -15 = -3*j - g*k. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qi when two letters picked without replacement from mqvmqqmvqquqiqumixmq?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2072)\/111)\/(40\/(-75)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (115\/(-60))\/(44\/6) and ((-8970)\/3680)\/((-3)\/(-2)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 8*n + 1. Let k(l) = 9*l + 2. Give -5*k(v) + 6*m(v).\nAnswer: 3*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/75*-1)\/1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 148586 is divided by 1415.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/4))**(-48) assuming s is positive.\nAnswer: s**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1593658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes after 1:12 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1786 (base 13) to base 12.\nAnswer: -202a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*w**3\/3 + 565*w**2\/3 - 19165*w\/3 + 27025.\nAnswer: 5*(w - 23)*(w - 5)*(w + 141)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 50544 + -12902. What is the thousands digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the third derivative of -23*z**5\/60 - 7*z**2. Let k(s) = 0*s - 23*s + 50*s - 18*s. Give k(h(i)).\nAnswer: -207*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000002502672 rounded to 7 dps?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 267 divided by -119\nAnswer: -267\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (11\/11)\/((-12)\/(-10))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from opowo. Give prob of sequence pw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -3*p + 8. Let c be (-2)\/(2\/p*2). Determine w so that 3*w**c + w**3 - 4*w**4 - 2*w**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-30)*(-55)\/(-22) - 1021000\/(-12000)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 263.9126 millilitres?\nAnswer: 0.2639126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -899513*m = -899459*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 26196\/85 > 307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 131, 1055, 3563, 8447, 16499, 28511, 45275, 67583?\nAnswer: 96227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 8 - 5)*(4*o - 4*o**4 - 4*o).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -25 - 22?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*h**2 + 57*h**2 + 2*h - 2*h + 99*h**2 + 10*h.\nAnswer: 121*h**2 + 10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-24)*10)\/(268\/(-5360)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 3 = 2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30 - 42 + 8 - 29*j**2 + 5 + 6*j**2.\nAnswer: -23*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the second derivative of 5*q**3\/2 + 2*q - 353. Let y(w) = 3*w - 21. Determine y(x(s)).\nAnswer: 45*s - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 228877.\nAnswer: 3\/228877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.5 or 212.8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 42904 and 2976?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 377874 + -377748. Suppose 0 = 4*m - 0*m - 172. Calculate the remainder when f is divided by m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 454762 and 454768 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes after 12:40 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9801 and 61479.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1135*m**2 + 2547*m wrt m?\nAnswer: 2270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes before 1:52 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 65559 divided by 10\nAnswer: 65559\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10 in -0.2, -8, 25, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2136 + 2137 - 4261 - 80*b**3 - 13*b.\nAnswer: -80*b**3 - 13*b + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 14346 and 48145176.\nAnswer: 48145176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13 - 21) + (65 - (-36 - -12))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 10*u + 4*s = -984, 0 = 4*u + 4*s - 780. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 13 - -44?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bsyq when four letters picked without replacement from {j: 1, b: 1, s: 2, q: 2, y: 2, z: 1}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000964987688 to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1 times 4398\nAnswer: 4398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 151984 and 78719984?\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 4. Let y(s) = 4716*s + 24. Give -6*r(k) + y(k).\nAnswer: 4716*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4379 + -2218. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2841769*j*n*v*w - 4*j*n*v - 2*j*n*w + 5828041*j*n + 2*n*v*w with respect to v.\nAnswer: -2841769*j*n*w - 4*j*n + 2*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 6:49 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13.98 + 14. Let w = -0.23 - q. Let x = 0.55 + w. Put -8\/7, x, 2 in decreasing order.\nAnswer: 2, x, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.1 - -0.2. Let n = 0.25455 + -41.25455. Sort p, -5, -1, n.\nAnswer: n, -5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 f, and 1 l when three letters picked without replacement from eljfeje.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/59514930 and -43\/120?\nAnswer: 238059720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2275 + 1600 = x - 16*x. Let w = 2635 - 18412\/7. What is the common denominator of x and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(162) + (sqrt(162) + 1 + sqrt(162))*5 + (-2 + sqrt(162))*-3 + sqrt(162))*-2)**2.\nAnswer: 7128*sqrt(2) + 52972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/15 of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**3 - 7*s**2 - 7*s - 4. Let t be y(-6). Suppose 0 = b + b + t. Let n be 12\/8 + (b - 0). Sort 0.2, -1, n in decreasing order.\nAnswer: n, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 248036 - 124018 - 39*f**3 - 12*f**3 - 124017.\nAnswer: -51*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -0.132?\nAnswer: -0.132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1211, 4388, 9427, 16328, 25091, 35716, 48203?\n\"Answer: 931*f**2 + 384*f - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3856102 - 24?\nAnswer: -3856126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 15 in -1\/3, -0.4, -30, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -18880981*h**5 + 4493524*h**2 wrt h.\nAnswer: -1132858860*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-204)*585480\/(-1722).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3774 + -1?\nAnswer: -3775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 166464676?\nAnswer: 2, 7, 1171, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 5*d = 2*c + 12, -3*c + 36 = -4*d. Solve 3*z - c = -3, -4*p - z = 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 + 6209.61987903.\nAnswer: 6209.71987903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 755, 3, 4 in decreasing order.\nAnswer: 755, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes after 8:00 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38 = -6*w - 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 93563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 56997930 a multiple of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**3 + 6*r**2 + 25*r + 18.\nAnswer: -(r - 9)*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 30942, 61882, 92822, 123762, 154702?\nAnswer: 185642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*i - 7 = 38*i + 8. Solve 0*p - 5 = i*w + 5*p, w = 3*p + 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -14\/5?  (a) 27  (b) -0.4  (c) 36  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, x: 1, n: 2, j: 1, v: 2, p: 2}. Give prob of sequence mp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 37*z - 40*z = 0, 5*a + 2*z + 23 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-19)\/7*(1 + -8).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -18 (base 14) to base 11\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1046, 5521, 13422, 24749, 39502, 57681, 79286?\n\"Answer: 1713*s**2 - 664*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*r**2\/8 - 9579*r\/8 - 1197.\nAnswer: -3*(r + 1)*(r + 3192)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 11, v: 4, z: 3}. What is prob of sequence vzt?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 50 = v. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100100010 (base 2) to base 15.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (4 - -67) + 4 - (154 - 140).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4489667803 to the nearest integer?\nAnswer: 1650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 452555 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(2 + (1 - 2) - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8295000 to the nearest one hundred thousand.\nAnswer: 8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -211, 1\/10, 4, -1\/10?\nAnswer: -211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -5*j + 28600010, 2*l + 2*j = -l + 85800004. Round l to the nearest one million.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 2*f**2 + 10*f - 10. Calculate the remainder when 8 is divided by q(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10010000101 (base 3) in base 16?\nAnswer: ef3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -2*u + 9. Let w(f) = -2*f + 10. Let x(v) = 7*p(v) - 6*w(v). What is the units digit of x(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1883 less than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**3 + 13*i**2 + i - 10. Calculate h(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2542751156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that 62*o**2 + 8 + 324*o**3 + 160*o + 379*o**2 + 8 + 27*o**2 = 0.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*p - 686 + 2909 = -21*p + 103*p for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 9*t + 12. Let c be x(-5). Let y = -27 - c. Solve 15 = -k + y*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5907?\nAnswer: 3, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + 2*p + 6 = 0. Let t = 0 - p. What is the derivative of 7 + 0*u**3 - 3*u**3 - t*u**3 wrt u?\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 + 12*x + 37. Let y be d(-7). Suppose o - y*o = 0. Solve 8*s**3 + 32\/7*s**5 - 72\/7*s**4 + o - 18\/7*s**2 + 2\/7*s = 0 for s.\nAnswer: 0, 1\/4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -111 (base 2) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**3 + 13*y**2 + 10*y - 13. Let q be c(-12). Suppose -q = -l + 1. Solve -2*b = 2*b + l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**2 - 218. Let v(u) = u + 9. What is -c(y) - 12*v(y)?\nAnswer: -y**2 - 12*y + 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (252 - 286) + (7 - -7)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 127837254.\nAnswer: 2, 3, 21306209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 = d + 3*n - n, 3*d - 5*n - 196 = 0. Let r = -86 + 111. Calculate the remainder when d is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (19*w + 59 - 59)*(-61*w - 53*w**2 + 133*w - 76*w) to the form r*w + j*w**2 + a + k*w**3 and give k.\nAnswer: -1007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9345*y + 18697*y - 297 + 3371 = 9299*y for y.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -2*f + 2. Let n(j) = 3*j + 11*j + 11*j - 15*j. Give n(v(m)).\nAnswer: -20*m + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*q**2 - 2247*q - 26559 with respect to q.\nAnswer: 4*q - 2247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4545.3 and 4.\nAnswer: -18181.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 2*b. Let k be (234\/(-5))\/((-9)\/5 + 2). Let j = 238 + k. Solve b = -5*r - j*n - 9, 2*r - 5*n = 6*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11001000110011 (base 2) to base 16.\nAnswer: 3233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4828*l**4 - 541*l**3 + 35*l + 624568 wrt l.\nAnswer: 57936*l**2 - 3246*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -y**3 + 0*y**3 - y**3 + (-6*y**2 + 35*y**2 - 13*y**2)*(0 + 2*y + 0) + (-2 + 2 + 2*y)*(y**2 - 1 + 1).\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bqbw when four letters picked without replacement from {w: 1, m: 1, q: 6, b: 6, f: 3, h: 1}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 29*f**5*h**3 - 40631*f**3*h**2 - 5*f**2*h**3 - 2*f**2 - 2*f*h**3 + 3505*f*h**2 + 2 wrt f.\nAnswer: 1740*f**2*h**3 - 243786*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -7*d - 1. Let t be q(-1). Let l be (-1)\/t + (-620999991)\/54. Round l to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 87973 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 9609*p**2 + 23*p. Let z(u) = u. Calculate t(z(r)).\nAnswer: 9609*r**2 + 23*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 2561.14 to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w - 2. Let m(t) = 1. Suppose -15*n + 17*n = 102. Suppose -58 + n = 7*f. What is f*m(v) - z(v)?\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 459316.949 to the nearest one hundred.\nAnswer: 459300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3.47 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 0*d - 25 = -2*d, d + 25 = 5*v. Suppose -v*m + 10 = j, 4*j - j - 2 = -m. What is the common denominator of 27\/10 and j - 70\/8 - -2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16, -35, -70, -127, -212, -331, -490?\nAnswer: -695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5769 + -2807. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (5 + (-10 - 1) - (0 - 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18 - -14. Let i = -131.732 - 0.268. Let t = 124 + i. What is the closest to 2 in t, h, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) 3\/94  (c) 1.3  (d) 2\/3  (e) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 1:33 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -4*u**3 - 44*u**2 - 33*u - 58. Let x(l) = l**3 + l**2 - l + 1. Let z(q) = c(q) + 5*x(q). What is the tens digit of z(40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 981771161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3878251 rounded to the nearest one hundred thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3}. What is prob of sequence kk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17 - 17.5. Which is the nearest to 1\/2?  (a) -1  (b) n  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1.27 and -178898.\nAnswer: -178899.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000466688 rounded to five dps?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 50925 and 32495.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -9032*u + 9032*u + 3*u**2. Let c(t) be the first derivative of 3*t**3 - 1. Give o(c(l)).\nAnswer: 243*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/20 and -13\/55.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1995\/798)\/(5\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 225809 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -276*m + 84 + 148*m + 153*m - m**2. Calculate the remainder when d(26) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 7, e: 2, u: 3, p: 4, z: 1, h: 1}. What is prob of sequence pzh?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 200 = 2*d. Let x = d + 100. What is the remainder when x is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 17\/(-18) - 16\/72. Which is the closest to 0.2?  (a) 0.5  (b) -0.3  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 7*v**2 - 3*v - 9. Let d be (4\/1)\/2 + 2. Let s(n) = -6*n**2 + 4*n + 10. Let x(z) = d*w(z) + 3*s(z). Differentiate x(h) wrt h.\nAnswer: 20*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.02816264 and 22?\nAnswer: 0.61957808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 18*z - 13*z. Solve -2*o - 2*h = -0*o - 4, 0 = -5*o - z*h + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -3*z. Let u(f) = -3*f**2 - 41. Calculate u(a(b)).\nAnswer: -27*b**2 - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 113, 2\/13, -2, 24?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -5  (b) -0.8  (c) 4\/7  (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the second derivative of o**6\/30 - 177*o**5\/20 + o**4\/6 - 173*o**3\/6 + 5318*o. What is the third derivative of z(a) wrt a?\nAnswer: 24*a - 1062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1097.11 + 96.41. Let r = a - -1001. Let c = 0.3 - -0.2. Sort 0, r, c, -2 in decreasing order.\nAnswer: c, r, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -5*z - 440, -2*m - 6*z + 2*z = 886. Suppose -2*q + 767 - 2079 = 0. Let l = m - q. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -100 - -105. Suppose -16 = -3*k - 1. Is k equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i - 0*i + 394. Let a be (-8)\/10 + i\/5. Suppose -34 = -t + 5*k, -7*k = -3*t - 4*k + a. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 53429*c**2*g - 582942024*c**2 - 3207*g wrt g.\nAnswer: 53429*c**2 - 3207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 32079*r. Let m(u) = 316*u**2 - 2. Determine n(m(v)).\nAnswer: 10136964*v**2 - 64158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 g when three letters picked without replacement from zggzzzzzyzzgzzz.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9.2 + 8. Let v = u - -1.3. What is the closest to v in 0.5, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3106, 3094, 3082?\nAnswer: 3070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (8\/20)\/(28\/(-20)). Suppose -4*g + 3*q - 14 = -5*g, 2*q = 10. Which is the third biggest value?  (a) g  (b) 3  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 50 + 10 = -3*z, 4*z = -2*j + 40. Let s be (1 - 3)*4\/z. Is 2 a factor of ((-1)\/3)\/(s\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the third derivative of -7\/60*h**5 + 0*h**3 + 12*h + 0*h**4 - h**2 + 0. Let o(v) be the first derivative of 2*v**2 + 2. Give o(k(f)).\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 0*z**2 + 2*z**2 + 52 - 47 + 26*z. Let o be k(-13). Suppose 3*b + 9 = a + 4*b, 0 = 3*a - o*b - 19. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**3 - 67*a**2 + 57*a + 635. Give t(66).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -54 (base 6) to base 15\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -4\/3, -1\/10, 0.08, 2, 0.28?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes before 12:36 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 12*z**3 - z. Let n be c(1). Suppose 3*y + n + 4 = 0. Let a = -1 - y. What is the remainder when a is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0 - (-2 - 140 - -2). Let r(t) = t**3 - 36*t**2 + 119*t + 344. Let w be r(32). What is the greatest common factor of l and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 40\/3  (b) 0.4  (c) -3.99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add 3 and -90146.\nAnswer: -90143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 456169.\nAnswer: 7, 65167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((0 + sqrt(99) + sqrt(99))**2 + 2)*-5.\nAnswer: -5970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 114 and 492564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 33423344003 - -4?\nAnswer: 33423344012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -654 - -592. Put 0.4, m, 0.5 in increasing order.\nAnswer: m, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -84117063*v**4 - 2*v**2 - 32*v + 43970.\nAnswer: -2018809512*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/((-30)\/(-4)))\/((-33)\/165).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -15*x - 1090. Calculate b(-72).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**3 - z**2 - z + 2. Let j be p(0). Suppose 2*w + w + 6 = 0. Let q = w - 2. Put j, q, 0 in increasing order.\nAnswer: q, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 111118 and 63496?\nAnswer: 444472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 2*t + 9. Let r(s) = -19082*s. Calculate f(r(p)).\nAnswer: -38164*p + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -279, -370, -527, -750, -1039, -1394?\nAnswer: -1815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 4. Let p be -2 + 3 - (-3 - (3 - 5)). Suppose -3*h - 2 = -2*f, p*h + f - w = 3*h. Solve -o + h = 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -147 in -2\/177, 4, 5?\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lbojbbobobgooolqgb. What is prob of picking 1 g and 1 o?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 4018900 rounded to the nearest ten thousand?\nAnswer: 4020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 - -1183.89073.\nAnswer: 1184.29073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - a - 7 = 0, 7*a - 3*a - 11 = l. Calculate the common denominator of 374\/(-60) + l\/(-9) and 0 + (-158)\/(-32)*-2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t**2 - 5855388*t + 35132292 = 0. What is t?\nAnswer: 6, 5855382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((24 - 4)\/(-2))\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2, -6\/11 in decreasing order.\nAnswer: 3, -6\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 13*z. Let y(m) = m + 16665 - 16660 - 4*m - m. Let t = 0 - 5. Let d(r) = 3*r - 4. Let u(a) = t*d(a) - 4*y(a). Give u(f(s)).\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 at least 0.276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 1044200 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -17*u**2 - 2*u + 15*u**2 + 6 - 7 + 0. Let o(x) = x**2 + 3*x + 1. Let y be o(-2). What is s(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1448784)\/(-360) + 6\/10.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1073.236 and -44.\nAnswer: 1029.236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 129317827 a multiple of 901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 108*y - 103*y + 2*v + 3*v + 60, -31*y + v - 38 = -27*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the second derivative of 7*f**3\/6 + 5*f**2\/2 + 8*f. Let y be h(10). Suppose 0 = 2*v - 3*c - y, 0 = 3*v + c + c - 132. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15862.2 + -15862. Put o, 52, -2.1, -3 in decreasing order.\nAnswer: 52, o, -2.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -4*v - 23. Let c = v - -8. Factor 0*x + 0 + 2\/9*x**c + 0*x**2.\nAnswer: 2*x**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10580 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 2*p - 3. Let v(z) = 4*z - 9. Let u(q) = 2*q - 5. Let g(m) = -5*u(m) + 3*v(m). Determine -5*g(y) + 4*l(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3095 and 15.\nAnswer: 9285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -102 + -4032030010?\nAnswer: -4032030112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5.0661 + -0.0061. Let w = -0.06 + m. Which is the third smallest value?  (a) 4  (b) -2\/5  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 224004 (base 5) to base 9.\nAnswer: 11873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((36\/(-54))\/(2\/3))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the third derivative of 0*a + 1\/1176*a**8 + 0 - 1\/60*a**6 + 0*a**7 - 28*a**2 + 0*a**3 - 1\/35*a**5 + 0*a**4. Let c(s) = 0. What is s?\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3144636 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 615414119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -790 = 8*j - 13*j. Suppose -4*v = -6*v + j. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11050 is divided by 328?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*g**4 - 5*g**4 + 2*g**4)*(-g - g - g) - 25*g**4 - 18*g**5 + 25*g**4 + (-g**5 + g**3 - g**3)*(0 - 1 + 2).\nAnswer: 14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -2*t**2 - 27*t - 59. Give m(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4\/13  (b) -1\/3  (c) -0.5  (d) -3  (e) -2  (f) -1\/9  (g) 0.88\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18 and 5202?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(72)\/(sqrt(8) + sqrt(2)))\/sqrt(6))\/(((sqrt(168)*-2)\/sqrt(7))\/sqrt(8)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-904)\/12 - -1 - (-12)\/(-18). What are the prime factors of -4 + w\/(1\/(-5) - 0)?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -bd3a7 + 67?\nAnswer: -bd340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 121*f - 971. Let p be c(8). Let j = -0.6 + 2. What is the nearest to 1 in p, -6\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 - -4.2. Which is the third smallest value?  (a) -0.4  (b) -2\/3  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**2 + 16*p + 41. Let h be x(18). Suppose -132 = -h*t - t. Let i = -4 + 6. What is the greatest common factor of t and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*i - 14*i = -9. Suppose 3*s + s + i = 3*t, s + t - 3 = 0. Suppose -15*y + 12*y + 450 = s. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + 2*t + t + 67, -5*g - 3*t + 104 = 0. Let v = g + -13. Let l be 6\/(-8)*4\/v. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 34 + -29. Suppose -k = 3*o - 5*k - 92, 0 = 4*o + w*k - 71. Calculate the remainder when 112 is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 102 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -11612, -11614, -11616, -11618, -11620?\n\"Answer: -2*t - 11610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 106*y - 248. Calculate the remainder when r(6) is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from fffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 57324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and -0.350686?\nAnswer: 1.052058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 2052 = -0*w. Let a be (8\/(-36))\/(64\/(-2880)). Suppose 16*d = a*d + w. List the prime factors of d.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(975) + (sqrt(975) - (sqrt(975) - -1*sqrt(975) - sqrt(975)))))\/((sqrt(3) - sqrt(6)\/sqrt(18))*-2) + 5.\nAnswer: -75*sqrt(13)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jddj when four letters picked without replacement from jddtjddtjdttdjj?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-98136)\/(-27) + (-8)\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -19581036*p - 16601237?\nAnswer: -19581036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*h = 2*b + 7*h - 50, -2*h + 116 = 4*b. What is the remainder when 66 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 10\/289  (b) 2\/9  (c) -15  (d) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -116*n**2 + 95*n**2 + 22*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ro when two letters picked without replacement from oorrrrorrorrrrrrror?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 7, 10, 7, -8, -41, -98?\n\"Answer: -s**3 + 3*s**2 + s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12\/11, 0.1, -3731.3.\nAnswer: -3731.3, -12\/11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 2*h**2 + h - 1. Let q be j(-2). Let x(n) = 29*n - 17. Is x(q) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1, -2\/7, -0.3, 3579?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 249 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 2*h - 17. Let y(w) = w - 9. Let m(u) = -4*g(u) + 7*y(u). Let q be m(2). Suppose -4*t**4 - q*t**2 + 2*t**4 - t**2 + 6*t**2 = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-28)\/(-24)*162360\/(-3465) + 4\/6.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -1.4, 0.03, -1\/2, 2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 3, 0 = -o - 2*q - 0*q + 5. Let r be -4 - (-8 + 6 + o). Which is the biggest value?  (a) 0.2  (b) 2\/13  (c) 1.9  (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1635*w + 1627*w - 3265*w - 144 = 0 for w.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - (-2 - -6)) + 3 + 54 + (15 - 5)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20.06085 days to minutes.\nAnswer: 28887.624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 4*i - 20 = 5*i, 5*i = -5*z + 80. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 42890 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 2*s = 14, -7171*s + 7169*s + 5 = 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1742*h = 1251*h + 1921*h + 358722 for h.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:22 AM and 10:35 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -3  (c) 0  (d) 13\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5a + -5b?\nAnswer: -b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-28)\/(-280)*-12 - 116\/(-5). Solve 0 = 4*p + r - 38 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + -3 + (-23 - -4) - (1 + -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*n**4\/3 - 34*n**2\/3 + 24*n - 40\/3 = 0. Calculate n.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**3 - 12*m**2 + 5*m + 12. Let b be f(11). Calculate the remainder when ((-3)\/(-2))\/((-3)\/b) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 23*r**3 + 23*r**2 - 5*r - 22*r**3 - 38 - 2*r**2 + 10. Is z(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:20 AM and 5:29 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-27)\/(432\/(-64)))\/182?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 342201 (base 10) to base 12.\nAnswer: 146049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -18061 (base 10) to base 16\nAnswer: -468d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*y**4\/4 + 105*y**3\/4 + 195*y**2\/4 + 95*y\/4.\nAnswer: 5*y*(y + 1)**2*(y + 19)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -437.2 - -437. What is the closest to g in -0.3, -4, -443?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b**2 + 3*b**2 + 0*b**2)*(-28 + 29 + 38*b + 8*b).\nAnswer: -46*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 4, 1310 in ascending order.\nAnswer: 4, 5, 1310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -50*j**4 + 160*j**3 - 2*j**2 - 8623*j + 5.\nAnswer: -600*j**2 + 960*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 r, 1 j, and 1 y when four letters picked without replacement from {r: 2, j: 7, y: 1, l: 7, n: 1}.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**2\/13 - 217296*c\/13.\nAnswer: 2*c*(c - 108648)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2798 + 3048. What is the greatest common factor of p and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 2*h**2. Let t(n) be the second derivative of 0*n**2 - 14*n + 0*n**3 + 0 - 19\/6*n**4. Calculate a(t(x)).\nAnswer: 2888*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 29123979.993951 - 29123965. Let f = 19.9939509 - m. Let y = f - 5. What is y rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/3 or -30709576\/39?\nAnswer: -30709576\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27321, -27330, -27355, -27402, -27477, -27586?\nAnswer: -27735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2270 - -2274. Let x(y) = y**2 + 5*y - 3. Let s = -15 - -9. Let b be x(s). Solve -m*h - 5*z + 12 = -2*z, b*z + 9 = 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 2*d**3 + 3*d**2. Let c(b) be the first derivative of -b**4\/4 - 4*b**3\/3 - 330. Calculate 3*c(q) + 4*m(q).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, q: 4, i: 3, x: 1, l: 2}. What is prob of picking 2 i and 1 x?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -19 - -18. Let v = 0.1 + -0.1. Which is the biggest value?  (a) v  (b) u  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 - -4.1. Which is the nearest to -0.2?  (a) 3  (b) y  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 767009 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-142)\/12 + 195\/(-1170). Let w(t) = -t**2 - 5*t + 2. Let m be w(-6). Sort o, m, 5 in descending order.\nAnswer: 5, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(8640) - -2*sqrt(8640))\/sqrt(5))\/(sqrt(12)\/sqrt(3)*6 + (sqrt(4) - -3*sqrt(4)*1)).\nAnswer: -72*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000033292602 to seven dps.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, 0.3, 1, 2\/77?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - z - 550. Let i = z - 2533\/9. What is the common denominator of -21\/2 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 12757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -65\/616 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, c: 1, p: 5, d: 2, j: 8}. Give prob of sequence jvdc.\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -83, -85, -87, -89, -91?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 v when two letters picked without replacement from cvioicpxo?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 2 h when four letters picked without replacement from zzhzzhzzzzz?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 28 and 5593084?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-148356)\/(-3276) + (-10)\/35.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 22) + (-1 + -11 - (4 + -21)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*g + 4*h - 2*h = 876, 2*h = 14*h - 8*h - 5*h + 4 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 25.269 + -1.1.\nAnswer: 24.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/4, -3, 15\/11, 2\/17, -1\/3, -11?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10325, 10358, 10393, 10430, 10469, 10510, 10553?\nAnswer: 10598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.106 - -195.106. Let y = p + -194.9. Suppose -16 = -3*i + 5. Sort i, 1, y in increasing order.\nAnswer: y, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1620 + 16151\/10. Let p be (1\/(-14))\/(2\/(-54716)). Let h = -1950 + p. What is the common denominator of y and h?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the third derivative of w**5\/60 + w**4\/3 - w**3\/2 - w**2 + 37*w. What is r(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23697 is divided by 23575.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = -5*l + 50. Suppose -k = 5*z - 12, -14*z = -l*z - 4*k. Solve -9 = -4*b - r, -3*b + z = -3*r - 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1159958857 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*b + 3*b. Let g be ((-2)\/4)\/((-14)\/1106). Let h = 40 - g. What is the closest to h in -0.3, b, -16?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2906075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-26)\/(-7) + 10\/35. Solve 0 = 2*y + 2 + t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**3 - 11*g**2 - 6. Let a be w(11). Let t be ((-1)\/(-2) + -1)*a. Suppose 5*m = 5, -m + 43 - 129 = t*h. What is h rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2164 - -1766. Which is the second biggest value?  (a) -0.1  (b) j  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -881 or -14958\/17?\nAnswer: -14958\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.03*-6.8.\nAnswer: -0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 84, 144, 202, 258, 312?\n\"Answer: -b**2 + 63*b + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -13021 - -1?\nAnswer: -13020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 178644649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-5)\/5 + 3)*1. Sort -8, o, -2 in descending order.\nAnswer: o, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 613*k + 590*k + 610*k + 609*k + 611*k - 3036*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -2*a**2 + 0 + a**2 + 6 + 5*a. Suppose 0 + 6 = b. Let w be h(b). Solve -4 = -4*t - w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - x + 11 = 3*x, q - 2*x = -1. Let m be (2*(-2 - q))\/(3\/(-6)). Put m, 3, -2, 0 in increasing order.\nAnswer: m, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*d + 10*d**2 - 1 - 2*d**2 - 9*d**2 to u*d**2 + x*d + p and give x.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 2\/542649?\nAnswer: 2\/542649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(2 - 0) + 2. Let d(w) = 2*w**2 + 2*w - 4. Let c be d(2). Calculate the greatest common divisor of c and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 325, 610, 895, 1180, 1465, 1750?\nAnswer: 2035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 95 + 25. What is the remainder when (50\/g)\/((-5)\/(-6)) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19760 is divided by 4940.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 12\/8 + 1\/2. Suppose -d - 2 + 4 = 3*h, -2*d = s*h. Let w(g) = 2*g**2 + g + g - 2 + 3. Give w(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 6*l**3 + l. Let z be r(-3). Let h = z + 231. Round h to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.577029322 - 0.111.\nAnswer: -1.688029322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 + -1.5. Let p = -4412\/15 + 294. Put -81, z, p in ascending order.\nAnswer: -81, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 173 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 r, and 2 f when four letters picked without replacement from {r: 1, d: 2, e: 1, b: 1, f: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 1 = -21. Let i = 3 - -1. Suppose i*h + b = 11, -h + 5*b - 4 = -4*h. Sort h, z, 5.\nAnswer: z, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*l + 6*l - 1482 = 0. Calculate the smallest common multiple of l and 8.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 - 82*s**2 + 75*s + 351. Calculate n(81).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = -4*g - n, -4*g + 4*n + 47 = -g. Solve g*p - 11*p = -10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k\/(k\/(k\/(k*k**8*k)))*k*k**(-2\/11)*k**(2\/13)\/(k**(-4\/3)\/k) assuming k is positive.\nAnswer: k**(-2443\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t + 1. Suppose -v + 0 = 3*o - 14, 3*o - v - 10 = 0. Let h(x) = -x + 1 + 2*x + o*x - x. Give h(b) - 3*r(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 207137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -18.1 times -1267623\nAnswer: 22943976.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 445 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 303257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**3 - 9*j**2 + 10*j + 2. Let v be y(-10). What are the prime factors of 2\/4*(v + 80)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**2 - 3*i + 9. What is x(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9451.442 minutes to milliseconds.\nAnswer: 567086520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vvvpvvvvvvvpvvvvvvv?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -39*s + 24*s + 128 + 17*s as a + k*s and give a.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add -24 and 1.121.\nAnswer: -22.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((9\/(-3))\/30)\/(31\/124)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0 + 1\/7*1. What is the biggest value in -3, 0.3, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-80)\/36*924\/(-1540)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -144*(-1)\/(-5)*(-15)\/(-6). Let c = 44 + z. Let j = c + 33. Solve -l + 16 = -j*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 654 equal to 10\/103709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 3 b when four letters picked without replacement from {b: 5, g: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 4530 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -19565 + 19568. Put -5, j, 2, -216 in increasing order.\nAnswer: -216, -5, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**6\/((u\/(u*u*u**(-5)*u))\/u)*u\/u**(1\/4)*u**(-5\/6)\/u)\/(u**(-3)\/u**(-5))**(26\/7) assuming u is positive.\nAnswer: u**(-379\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24885 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 21\/49*(6 + -13). Let s(u) = 7*u - 1. Let j(o) be the second derivative of -o**3\/6 + 2*o. Give h*j(w) - s(w).\nAnswer: -4*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5597 and 1351?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 153*o**2. Let c(p) = -3*p. What is c(t(v))?\nAnswer: -459*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**2 + 4*r + 1. Let l be w(4). Is 10 a factor of (-198)\/(-10) - l\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:57 PM and 2:34 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*x**2 + 3985*x - 2006*x - 4 - 1978*x + 4.\nAnswer: 7*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (9\/(-12))\/((-2)\/8). Let c(x) = x**2 - 2 - 1 + b. Let f(u) = 2*u**3 + 2*u**2. Give -c(q) + f(q).\nAnswer: 2*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 13967643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k - 28. Let h(q) = -q - 56. Let l(t) = -7*g(t) + 4*h(t). Let c be l(11). Solve -2*n + 3 = -c*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1033900 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the second derivative of 217*b**5\/10 + b**4\/2 - 1767*b**2 + 5361*b. Differentiate v(z) with respect to z.\nAnswer: 1302*z**2 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 3*q + 81. Let l be c(-21). Let d be (-52)\/l - -5 - (-1)\/(-9). Solve b = 4, -r - b + d*b = 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*r + 6*r - 9*r + (-4 + 3 + 2)*(7*r + 7*r - 2*r) + (-2*r - r + r)*(1 + 0 - 2) + 2*r - 3*r + 0*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -4*f - 22, -4*f = 4*j + 7 + 5. Let l(n) be the second derivative of -j*n + 0*n**2 + 0 - 2\/3*n**3. Let a(y) = -2*y. Calculate a(l(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -35584 - -48173. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.0448 - -0.0698. Let d = 0.375 + x. Which is the biggest value?  (a) -3\/5  (b) 4  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1908*i + 4802*i = 595*i + 203586 + 144969 for i.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 80 and 0.5.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100*u**5\/7 + 5480*u**4\/7 - 7112*u**3 + 116736*u**2\/7 - 91116*u\/7 + 3240 = 0. What is u?\nAnswer: -63, 3\/5, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/4, -0.1, -0.2, 0.3, -3.\nAnswer: -3, -3\/4, -0.2, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -13 - -1106644?\nAnswer: 1106631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 862080 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 2*k - 5*y - 8, -40 = -5*k + 5*y. Let l = k + -5. Suppose -f - 296 = -298. Calculate the highest common factor of l and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(150))\/sqrt(10) + ((sqrt(120) - (-2*sqrt(120) + sqrt(120)))\/sqrt(8) - sqrt(15)))\/(sqrt(108) - 3*1*sqrt(108)).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 6, -7, -56, -165, -358, -659?\n\"Answer: -4*k**3 + 6*k**2 - 3*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(306)*-1*1 - sqrt(306)) + sqrt(306) + sqrt(306))\/(-1*sqrt(96)))\/(-1*(-6*sqrt(12)\/sqrt(4) + (sqrt(24)*2)\/sqrt(8))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express ((3*h - 4*h + 30 - 3)*(-1 - 1 + 3) + 0 + 2*h + 0)*(19679 - 823*h**2 - 19679) in the form d*h**3 + n*h + u + i*h**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4 - -5) + 37 + 2. Calculate the highest common divisor of t and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 157 or 170?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (9 - 2 + 0)*(-10 + 10 + 18*d**4) as g*d**4 + z*d**3 + r + w*d + l*d**2 and give g.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -3*d - 1. Let b be t(-2). Suppose 3*q = b*q. Let v = q - -2. Solve -14 = -5*j + j + 2*g, -5*j = -v*g - 15 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(128) - (0 + sqrt(128)))**2 + sqrt(128))*1*-1 + 1.\nAnswer: 1 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -3*j - 5. Let y = 8 + -11. Let c be l(y). Solve -5*w = c*h - h - 17, -3*w - 2*h = -11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 23 - 15. Suppose 0 = -f - 5 + b. Suppose -f*z - 118 = -5*y, 8 = 4*y + z - 100. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10516 (base 15) in base 14?\nAnswer: 14c1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(-4)*(-44)\/(-22))\/(1\/12).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 - 938335183442?\nAnswer: -938335183441.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -5*t + 370, 0*t + 4*f + 50 = t. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of -s**7\/42 - s**3\/3 + 8*s**2 - 27*s. What is the second derivative of a(g) wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/13)*t**(-8))\/(t**(2\/19)*t**(-2\/11)\/t)*(t**9*t**(-2)\/t)\/((t**8\/t)\/(t\/((t*t\/(t\/(t*t\/(t*t**9))))\/t))) assuming t is positive.\nAnswer: t**(2507\/2717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8107\/6 - 1366. What is the common denominator of 121\/18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -7*l + 107. What is v(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3538716227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is d in 5*d**3 + 3552*d**2 + 713601*d + 28359142 = 0?\nAnswer: -329, -262\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5023.\nAnswer: 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l + 15. Let f be n(-16). Sort -5, f, 1.\nAnswer: -5, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 54520 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 711 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -82, -163, -244, -325?\n\"Answer: -81*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -35\/6, -12, 0.1, 9.4, -1 in ascending order.\nAnswer: -12, -35\/6, -1, 0.1, 9.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -2*v + 24. Let z(n) = n. Let f(r) = -5*r. Let a(y) = 11*y. Let i(q) = -6*a(q) - 13*f(q). Let w(t) = 2*i(t) + 3*z(t). Give b(w(k)).\nAnswer: -2*k + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 104, 260, 416?\n\"Answer: 156*w - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -2818*z + 38772. Determine k(14).\nAnswer: -680","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-2\/7))**15*(p\/(p\/(p\/(p*p**(-6)))))**(-2\/9))**(-1\/30) assuming p is positive.\nAnswer: p**(59\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 3*g**2. Let k(v) = 24*v**2. Determine k(i(y)).\nAnswer: 216*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 42 - 21 - 21 + 107*v as s*v + c and give s.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = 4*d + a, -a - 1 = -2*d + 22. Solve -11 - d = 5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 238 + -168. Let o = b - 353\/5. Let j be (-3)\/(-2)*(-6)\/(-9). What is the second smallest value in j, 2\/3, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 244730?\nAnswer: 2, 5, 24473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7312 and 1828?\nAnswer: 7312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -783 - 393 = -3*p. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-10)\/(-16)*-2)\/((-24)\/576). Suppose -g*p + 40 = -26*p. Solve -3*m = -4*y - 1, 4*m + 4*y - 10 = p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1657 - 72*g**3 - 1657 - 65*g**3.\nAnswer: -137*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 1 = -2*u, -99*u = -103*u + 2*o + 22 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -1012  (b) -0.5  (c) -2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 32764910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14 - (44 + -47)) + -40.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -50\/9, 1\/70, 1\/13?\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q - 3*d + 54, 19 + 11 = 2*q - 3*d. Suppose 3*u + 0 = q. Which is the nearest to -1?  (a) u  (b) -3  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (44\/2)\/(-4 + 7 + -1). Suppose 11*s - 733 - 114 = 0. What is the greatest common divisor of s and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1896*n + 600 = -1866*n for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5244193323.\nAnswer: 3, 17881, 32587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -70 + 8*b**3 + 70 + (1 + 2*b**2 - 1)*(-2*b - 2*b + 3*b).\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -2\/3, -1, -5, 4, 48, 3.4 in increasing order.\nAnswer: -5, -1, -2\/3, 3.4, 4, 13, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d + 2*d**4 + d)*(-6674 + 6674 - 2437*d) + d**5 + 4*d**5 + 3*d**5.\nAnswer: -4866*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 2*x**2 - 985*x - 2966. Calculate h(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 157040107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 68596167 divided by 3\nAnswer: 22865389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.3 + -6.3. Let n = -0.04 + -0.16. Let w = 1.2 + n. What is the third biggest value in -0.3, w, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10001001100 + -11?\nAnswer: -10001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 11164357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*k + 2*k - k)*(-24 - k + 25 - 4*k).\nAnswer: 15*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 21 + -1. Suppose 3*n + 12 = -5*l - 8, -5*l - c = -2*n. Suppose -5*m = -n*m - 110. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**11\/p*p**(-7)\/p)\/(p**(-5)\/p*p)**(1\/12) assuming p is positive.\nAnswer: p**(41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 4*x**2 + 3*x + 2. Let j(w) = 72*w - 573. Calculate the lowest common multiple of j(8) and u(-5).\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -32 - -129\/4. What is the third smallest value in v, 2\/9, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 16250 = -2*d, 4*d + 5*n - 42963 + 10463 = 0. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 61, 3, -5, 1\/3, 1\/1406 in increasing order.\nAnswer: -5, 1\/1406, 1\/3, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 9 + (-71 - -14) + (0 - 3 - -13)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*v**2 - 3*v - 13*v**5 - 13*v**6 + 11*v**5 + v**5 wrt v.\nAnswer: -1560*v**3 - 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lgee when four letters picked without replacement from lvlgveeggvvevvvlvvel?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 147677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1272 + 1268. Which is the third smallest value?  (a) 0  (b) 2\/27  (c) z  (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10*h**2*i**2 + 2*h**2*i - 8*h**2 - 26*h*i**2 + i - 77 wrt i.\nAnswer: 20*h**2 - 52*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 276152449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -253*m**3*p**3 + 203*m**3*p + 3*m**2*p**6 + 19*p**2 wrt p?\nAnswer: -1518*m**3 + 360*m**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -2*c**3 + 3 + 19*c - c**3 + 12*c**2 - 10*c**2 - 20*c. Let o(i) = -i**3 + i**2 + 1. Let t(k) = m(k) - 4*o(k). Determine t(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -n**3 - n**3 - 4*n**3 - 3*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.0015 or -0.1?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Do 26334 and 24322 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.5 and 1323250.393.\nAnswer: 1323249.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 80633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6 - 1326\/(-72))*15*12. Calculate the highest common divisor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 48 = 4*z, 0 = -z + 3*a - 5 + 21. Let f = 3 - 1. Calculate the least common multiple of f and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 20709, 41453, 62227, 83031, 103865?\n\"Answer: 15*a**2 + 20699*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8783*u + 6 + 9003*u - 2)*(-u + 0*u - 7*u) to w*u**2 + f + a*u and give a.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 j when three letters picked without replacement from cyddjcyjchddyydhd?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f*((f\/(f*f*f\/(f**12\/f)*f))\/f)\/f*f**(-43) assuming f is positive.\nAnswer: f**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 336, 210, 100, 6, -72, -134?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.07 - 0.07. Let n = z + -1.1. Round n to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**3 + 3*y**2 + 2. Let m be i(3). Solve m*l - 5 = -3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132*q + 20924 + 4120 - 1027 = -197*q for q.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 178400*f**3 + 52907*f**2 wrt f?\nAnswer: 1070400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (2\/4)\/(108\/81 + (-20)\/8)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 411003888.\nAnswer: 2, 3, 8562581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2517467.\nAnswer: 2517467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.389 - 3377.28247?\nAnswer: -3371.89347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = -5*j + 79. Let v be (-16)\/(-9) + 4\/18. Suppose 2*d - 7 = -v*r + 1, -4*d - 2*r = -26. Calculate the remainder when j is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes before 7:45 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 - 14 = -2*r. Let l(x) = 12 - 2*x**2 - 9*x - 3*x**2 + 4*x**2. List the prime factors of l(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 2*u + 5, -5*d + 8 = 5*u - 2. Solve -21 = -t + 4*x, -10 - 12 = d*t + 5*x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0.06, 3, -2\/5, -4.\nAnswer: -4, -2\/5, 0.06, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 2*x = 3393, 9*i + 3*x = 7*i + 2267. Let s be (3858\/8)\/(2\/8). Let h = s - i. What is h rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3100338400 to the nearest one million.\nAnswer: 3100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 3*i - 4 = 0. Let o = 0 - i. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 91597722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8\/(-52) - 969\/39. Let x = g + 25. Let q(w) = -w + 7. Is 4 a factor of q(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 451402 (base 12) to base 9.\nAnswer: 2057642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 1 + 3 + 3 - 4 + 0 + (-1 + 1 - 2)*(-1 + 3 - 3) + 4 - 1 - 2 - 6 - 5 + 3 - 3 + 2 - 3)*(-2*k - 2*k + 0*k) + 0 + 4 - 2 + k.\nAnswer: 53*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) -1  (c) -3  (d) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -55\/394144 and 31\/160?\nAnswer: 1970720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from {g: 2, k: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (2124\/(-304440))\/(90\/(-200))\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7871879203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.94434 and -61.\nAnswer: -57.60474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*r**3 - 9 + 9 - r**3 - 2*r**2 + 2*r**2 - 3 - r**3 + 3 - 1 + 1 + 2*r**3 + (-2 + 2 + r**2)*(3*r + r - 2*r) + 2*r**3 + 3*r - 3*r)*(2 - 2 + 2).\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**2 - 52. Let q be v(-7). Let a(m) = 125*m**2 + 18*m + 52. Is a(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9 - 12. Let p be 7\/n + (16 - 13). Let t = 0.9 - 0.8. Which is the third smallest value?  (a) t  (b) p  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2023934.\nAnswer: 2, 11, 91997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 306 and 544.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 - 2*p + (5 - 1 - 2)*(-2*p + 2*p - p) + (-5 - 2 + 1)*(71*p + 65*p - 125*p).\nAnswer: -70*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -363 - -372. Let n = -1 + 9. Calculate the smallest common multiple of m and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 16425900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2246151932.\nAnswer: 2, 541, 1037963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a**3 + 271144370*a**2 + 3675963469134845*a = 0 for a.\nAnswer: -27114437, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -0*a - 2. Let r be a*3*1182\/9. Let m be 4 + r + (-1 - -1). Round m to the nearest ten.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1377) + -5 + 3)*2 + 0.\nAnswer: -4 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (-3 + 0) - (0 + 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1262222 (base 9) to base 13.\nAnswer: -1b240b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3531.283 grams to milligrams.\nAnswer: 3531283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 3*t - 55823 = 0, 66325 = 2*v - 4*t - 45311. What are the prime factors of v?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, -2, 1, -0.4 in decreasing order.\nAnswer: 1, 1\/3, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((y\/(y**(1\/6)*y)*y)\/y*y**3)\/((y**(3\/4)*y)\/(y*(y\/(y*y\/y**(-6)))\/y)))**(-42))**(-47) assuming y is positive.\nAnswer: y**(-23359\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(2\/(-1) + 0\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 3632151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the first derivative of i**2\/2 + 7*i + 1. Let t(o) = -8*o**2 - 7*o - 2. Let n = -89 - -88. Let u be t(n). Give a(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 + 1. Solve -s*u = -3*u + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -247 + 2?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -359.0629 + 0.3629. Let p = x + 343. Round p to 0 decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-4)\/18 - 317\/(-9) is divided by (5 + -14)*(-2 + 3 + -3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes after 10:35 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q - 2*q = -3*i - 74, 5*i - 5*q = -70. Let f be i\/(-63) - 26\/(-7). Suppose f*w - 2*w = 20. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/22 and 67\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 55631680 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2003951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -259168937 to the nearest one hundred thousand.\nAnswer: -259200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 2*d**3 - 11*d**2 + 6201*d. Let c(b) = -b**3 + 6*b**2 - 3101*b. Determine 11*c(a) + 6*p(a).\nAnswer: a**3 + 3095*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8916, 8410, 7904, 7398, 6892?\nAnswer: 6386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -0.5, 986 in increasing order.\nAnswer: -0.5, 0.3, 986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-66)\/4*24\/(-36). Let n = w - 11. Sort n, -1, -5 in descending order.\nAnswer: n, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1369 is divided by 454.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/(-66)*(12 + -15). Sort p, 0.5, -1\/3 in decreasing order.\nAnswer: 0.5, p, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cuvovcon. What is prob of picking 1 n, 1 v, and 1 u?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 48 and 41136?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zyyf when four letters picked without replacement from yzyyfzzy.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 549 is divided by 123?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 126 is divided by 69.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.4383 + -0.0383. Suppose -2*n = -n - 2. Which is the second biggest value?  (a) 1\/7  (b) d  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 5*p = -2*u + 243, -2*p = 0. Is 82 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**2. Let b(u) = u - 5*u + 10*u. Determine b(n(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + p + 17 = 5*f, -4 = -3*f - 5*p. Suppose -3*c = -4*a + 40, a + 2*c + 22 = f*a. Let s = 7 + -3. Calculate the remainder when a is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 1859935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -281*(-15 - -19 - (-18)\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 998738369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*x - 55*x = 12*x - 5*f + 28, 3*x - 4*f = -17 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -436*d - 12 = -433*d, -5*v - 26 = -d for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u + 20 = 4*f, -3*f + 2*u - 4*u = -17 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(2) - sqrt(2))*2 + (sqrt(14)\/(-1*sqrt(7) - sqrt(7) - sqrt(7)))**2.\nAnswer: 2\/9 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the third derivative of -26*s**2 + 0*s + 1\/108*s**6 + 1\/30*s**5 + 2\/27*s**3 + 7\/108*s**4 + 1\/945*s**7 + 0. What is o in g(o) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 5, 2\/181, -116284?\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 + 10. Let k(h) = 2*h + 3 + o*h - 4*h + 5*h. Does 18 divide k(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 + -12. Let t(r) = -2*r**3 - 6*r**2 - 7*r - 5. Let j be t(z). What is the greatest common factor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/(836\/55)*-28?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - 2. Which is the second smallest value?  (a) 7  (b) s  (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3401220 - 242?\nAnswer: 3400423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1258*p = -1248*p - 120. Solve -n + 15 = p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -392569, -785201, -1177877, -1570597, -1963361, -2356169?\n\"Answer: -22*u**2 - 392566*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 5*p + 45. Let y be d(-8). Let a be (-2 - y\/15)*3. Let k(z) = 9 + 4*z - 1 - 2*z. Give k(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggegggegegggge. Give prob of picking 4 g.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/8 and -163\/78.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*z = 16*z - 1067. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((-1 + sqrt(275) + sqrt(275) - sqrt(275))**2*1 - (1 + (sqrt(275) - (sqrt(275) - (-2*sqrt(275) - sqrt(275) - sqrt(275)))))**2) + -3 + -3 + -3.\nAnswer: -4129 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3630619964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -20728.9 rounded to the nearest 100?\nAnswer: -20700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 51 * -6.20532.\nAnswer: -316.47132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8274 or 7?\nAnswer: 8274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 + 81?\nAnswer: 7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -57*i - 6 - 24*i + 4*i - 3 + 4 as w*i + z and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.461 and -0.4.\nAnswer: -0.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((sqrt(1331) - (sqrt(1331) - (-1 + sqrt(1331) + -4 + sqrt(1331))) - sqrt(1331)) + sqrt(1331)*1*6) - (sqrt(1331)*3 + 4 - (4*sqrt(1331) + 0)))**2.\nAnswer: -23452*sqrt(11) + 2238087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 i, and 1 f when three letters picked without replacement from kfiiikkkkkikvkki.\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 185209782 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -56 + 31. Is 10\/k - (-141886)\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 10 = 2. Let c = w - -1. Suppose -t - 2*l + 14 = 0, -5*t = -0*l - 2*l - 10. Solve 4*z - t = -c*m + 2, -m - 3*z - 1 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1736 and 1624.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(-9\/5))**(-35)\/(v*v**(3\/2)*v*v\/v**(15\/4)*v) assuming v is positive.\nAnswer: v**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * 50\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -60*t**2. Let r(l) be the third derivative of -25*l**4\/24 + 2*l**2 + 708*l. Determine w(r(m)).\nAnswer: -37500*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the second derivative of -f**3\/6 - f**2\/2 - 2*f. Let d be c(-1). Suppose -3*t + 3 + 3 = d. Sort t, -3, 5.\nAnswer: -3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 492396 and 278359.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the third derivative of 2*j**2 - 1\/15*j**5 + 0*j**3 + 0 - 1\/90*j**6 - 20*j + 2\/9*j**4. Factor t(l).\nAnswer: -4*l*(l - 1)*(l + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -8*n. Let j(h) = 3*h. Let a(p) = 4*j(p) + y(p). Let t(i) = -40*i. Calculate a(t(c)).\nAnswer: -160*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -307771.358 rounded to the nearest ten?\nAnswer: -307770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-48425)\/455 + 106 - (-269)\/7?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 8 = -2*p, y - 4898 = 5*p. Let t = -3359 + y. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 190013 from -6496.\nAnswer: -196509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 24*o - 82 + 1 - 15. Put o, -150, 1 in descending order.\nAnswer: o, 1, -150","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/((-2*15)\/(-5)))\/((-96)\/(-216))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*c**3 + c**3 + c**3 + (0*c - c + 0*c + (3*c - 4*c - c)*(5 - 3 - 3) - c + 3*c + 2*c)*(0*c - c - c)*(1 - 1 + c).\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 2*o = 8*p + 22, 0 = -3*p + 4*o - 16. Let j be 2\/(p\/(-10)*1). Let b = 11 - j. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/42*97 - (469\/(-1344) + (-44)\/(-2816))\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 400049 = -3929*j + 3942*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -659 + 662. Let v = 88 + -55. Suppose c*k = 39 - v. Solve -3*q - 4 + 0 = k*u, 3*u - 5*q - 13 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 94125505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*d**3 + 3*d**3 - d**3)*(2*d + 3 - 3) + (3*d**3 - 2*d**3 + d**3)*(-3*d + 6*d + 4*d) as k*d**2 + r*d**4 + o + f*d**3 + y*d and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 397*w**5 - 9376*w**4 + 5348532*w**2 wrt w.\nAnswer: 23820*w**2 - 225024*w","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**2 - 115*i - 546. Calculate p(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1024 divided by -4.\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1233434 - 1003?\nAnswer: 1232431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*w + 36 - 157 + 38 + 41 + 42.\nAnswer: -44*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -12*i**2 + 146*i - 24. Let b be v(12). Let q = -63 + 93. Solve b = -5*c - q + 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of s**4\/12 + 4*s**3\/9 + 5*s**2\/6 + 2*s\/3 + 53. Factor n(k).\nAnswer: (k + 1)**2*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 305, 583, 837, 1061, 1249, 1395, 1493, 1537?\n\"Answer: -p**3 - 6*p**2 + 303*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -3*k**2 + 2*k - 5. Let h be u(7). Let g = -53 - h. What is the derivative of -g + 81 + 3*f**2 - 4*f**2 wrt f?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15797999 or -15798000?\nAnswer: -15798000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3083600?\nAnswer: 2, 5, 13, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 115 a factor of 34615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-5 - -20) + (-1)\/(-1). Let h = 22 - u. Suppose 0 = -4*l + o + 40, h*o - 40 = -4*l + 4*o. Solve 5*y + c + 28 = 0, -y - 3*c = l + 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 + -10 - -7) + -10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 + 2. Let b = 7 - 7.1. Is b equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 x when two letters picked without replacement from {u: 2, d: 2, k: 2, e: 1, w: 4, x: 4}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/15 - 56\/(-35). Let w be ((-1)\/l)\/(5\/(-20)). Suppose 4*q - 3*q = -w*n + 126, 3*q = 2*n + 378. Does 21 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + 14 = -2*h, -7*h - 2*p = -3*h - 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 527 - 1589\/3. Let i = 3060 - 27499\/9. Find the common denominator of r and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 524875 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 72314 + 72407 = 0 for f.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.32 + 14.32. Let q = l + -13.81. Let j = 0.29 - q. Are 2\/5 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -97 = 2*f - 5. Let y = f + 53. Let i = 25273\/8 + -3168. What is the common denominator of y and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-12)\/5*115\/46. Let v = 84 - 36. Let w = v + u. Calculate the remainder when w is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1276 is divided by 183?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 177 - ((49 - 124) + 144)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p**3\/8 - 561*p**2\/8 + 13851*p\/4 - 38988 = 0.\nAnswer: 16, 57, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t - 15. Let l be u(0). Let i(v) = 5*v - 34. Let o(s) = -s. Let p(r) = -i(r) - 6*o(r). Is 19 a factor of p(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 15*b**3 + 14*b**2 - 31*b + 2.\nAnswer: (b - 1)*(b + 2)*(15*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 38) + (73 - 37)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10 + 11. Which is the biggest value?  (a) k  (b) 4  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(-11\/5))\/(n\/(n*n**21))*n**(-19\/3)\/n**(-4\/17))**(-48) assuming n is positive.\nAnswer: n**(-55904\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6.8 - 76.8. Let j = 70.0003 + n. What is j rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59 - 53 = -2*r + 2*y, 124 = 2*r - 5*y. What is the third derivative of 25*k**3 + 59*k**2 + r*k**3 + 102*k**2 wrt k?\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/1*(4\/(-56))\/1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-4)\/(-3)*(-8 - (-1035)\/18)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1608 in 2\/3, -16, 2\/69?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:20 PM and 1:00 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6492727 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 5*i - 50 = 0, -2*q - 5*i = -i - 114. List the prime factors of q.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8134.05 kilograms in milligrams?\nAnswer: 8134050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-124 - -131) + (2 + 0 - 0) + 0 + -61\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, -304, 0.3, -2\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 52 by 8.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2064580 or 2064577?\nAnswer: 2064580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 22 = -2. Let v(p) = -p - 1. Let m be v(b). What is the second derivative of m*u - 5*u**5 + 5*u - 6*u + u wrt u?\nAnswer: -100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 57 + 1 + 0 + -29 + -70.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 6*(-2)\/(-84)*1*12\/3\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + n**3 + 8*n - n**2 - 8*n - 42*n**3 - 24*n**3 + 16*n**3 + (0*n + 0*n - n)*(1 - 1 + n**2).\nAnswer: -50*n**3 - n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1588020, 3176388, 4764752, 6353112?\n\"Answer: -2*c**2 + 1588374*c - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(168)\/sqrt(8)*1)\/sqrt(3).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*u + 3*u + 0*u)*(2*u - 5*u + 9*u + (5*u + u - 5*u)*(-6 + 4 + 1)) as i*u + o*u**2 + n and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-2)*k**(3\/4)\/k*k)\/(k\/(k\/(k**5\/k))*k**(2\/13))*(k**(-4\/7)\/(k*k**(2\/11)))**20 assuming k is positive.\nAnswer: k**(-162037\/4004)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -2*v + 3*v. Suppose 0 = 2*m + 3*m + v. What are the prime factors of (3 + m)\/2*12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:44 AM and 10:20 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 + 3\/(-1 - -2). Suppose -2*w = -3*p - 14, -2*w - 3*p + f*p + 18 = 0. What is the common denominator of (-15)\/20*w - -3 and -139\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 8693.42 millilitres?\nAnswer: 8.69342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -3*-6*sqrt(150)\/sqrt(2) + ((sqrt(192) + (-1 + sqrt(192) - sqrt(192)))*1 - 6*(sqrt(192) + 0)**2).\nAnswer: -1151 + 98*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -173*d + 172*d - 49 = -5*b, -55 = -5*b - 5*d for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the third derivative of 1\/12*p**5 - 22*p**2 + 0 + 0*p + 25\/6*p**3 + 0*p**4. Find the first derivative of t(g) wrt g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -48 + 51. What is the second derivative of -9*o + 15*o**3 + m - 3 + 0*o wrt o?\nAnswer: 90*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 3*h**3 - h**2 + 2*h - 1. Let i be m(1). Let t be (-2)\/(i\/((-15)\/2)). Let b = -351 + 351. Solve b*q - q - t = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 2*f + 1. Let m be b(2). Is (m + -2)\/(-3) - -22 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 plus -30929?\nAnswer: -30928.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.8 in -2\/7, 1.19, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 - (-17 + 24) - (25 + -3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5360 and 8800.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -84\/5801?\nAnswer: -84\/5801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((2\/(-20))\/(448\/160))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15087421 is divided by 1382?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 152\/12 - (-2)\/6. Calculate the greatest common factor of 65 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3383*15.145.\nAnswer: -51235.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -12*r + 5. Determine y(5).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 5*g + 58 = 0, -4*g + 90 = 179*d - 176*d. Let v(l) = 2*l + 2. Let w(c) = 8*c + 8. Calculate d*v(m) - 6*w(m).\nAnswer: -4*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0*(-64)\/24*(-33)\/176?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y**3 - 3*y**3 + 0*y**3)*(1 - 1 + 3*y**2) + (-y**5 + 6*y**5 - 2*y**5)*((-3 + 11 + 15)*(-2 + 4 - 5) - 4 + 3 - 1).\nAnswer: -219*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -3 - (-2 + -12 + (-27 - -43))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-13)\/(-3) + -4)*-3 + 32. Let b = z + -11. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cqccqqc. What is prob of picking 1 q and 3 c?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16197 + -8231. What is the smallest common multiple of 16 and a?\nAnswer: 63728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/16 - (-30)\/8. Let h = -44 + 48. Let k = h - f. Solve 5*q - 16 + 1 = -b, 2*b = k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2\/(-20))\/((-4)\/15). Suppose 0 = -5*v + 5*n + 15, 7*v + 20 = 2*v - 2*n. What is the biggest value in v, l, -7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 40287460 by 8057492.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t**5 + 55*t**4 - 910*t**3 + 2910*t**2 - 855*t - 4725 = 0.\nAnswer: -21, -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 486354596?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 5*u - 3. Let q(o) = 3 - 5*o - 6*o + 5*o. Let r(k) = 4*c(k) + 3*q(k). What is r(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21869200943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 951 + -950.9293. Let c = g - 54.3707. Let s = c + 57. What is s rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 7, b: 8, x: 1, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 19 + -5. Let n be 6\/(-9) + c\/12. Factor -n*o**2 - 1\/2*o + 1.\nAnswer: -(o - 1)*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -13, 930 in decreasing order.\nAnswer: 930, -0.3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 117784331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 + 2*w**2 - 2*w + 2. Let p be 7\/42 - 58\/(-12). Let i(u) = -3*u**3 + 5*u**2 - 5*u + 5. What is p*g(n) - 2*i(n)?\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 - 41280383288?\nAnswer: -41280383298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**4 - 11*z**3 + 43*z**2 - 69*z + 36.\nAnswer: (z - 4)*(z - 3)**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:06 AM and 9:30 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:45 PM and 3:47 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -34.165 to 1 dp.\nAnswer: -34.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 388318.\nAnswer: 2, 7, 27737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 420518573 a multiple of 959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2a830 - 4?\nAnswer: 2a82a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-60)\/70*(-4)\/9. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -221*0.3\nAnswer: -66.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79017700?\nAnswer: 2, 5, 17, 53, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -5*s + 3, -4*s - 4 = -0*s + 4*n. Let p(a) be the second derivative of -a**3\/6 - a**2\/2 + a. Let t be p(s). What is t rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 PM and 7:15 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-420)\/966*230\/(-140)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*z - 25 = -25*z. Solve k - 4*f - 6 = 0, -z*f - 3 = -2*k + 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0015411295 to 6 dps.\nAnswer: -0.001541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56 = 4*x + 7*x - 3*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 - 14*k - 45. Let c be j(-9). Let a be (16 + (c - -3))\/(-1 - 0). Let b = -18 - a. Solve -b + 0 = -3*v + 2*p, -v + 4*p = 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + (-1 - -1) - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(9)\/sqrt(3) - (sqrt(24)\/(sqrt(24)\/sqrt(3)))**2) + -1*sqrt(15)\/(sqrt(5)*1))*-2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 - 5. Suppose -f - q = 0, m*f = q + q + 20. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -34982 (base 10) to base 6.\nAnswer: -425542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 426 and 69?\nAnswer: 9798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2290 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/3, 2\/3, -2, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3569 or 18211?\nAnswer: -3569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2498223 - 9*u**2 - 1250284 - 1247939.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -3*t + 72, 15*t - 2*n = 17*t - 16. Calculate the greatest common divisor of t and 6202.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*l + l + 0*l)*(-2*l + l + 4*l) - 2*l + l**2 + 2*l + (-1 + 4 + 3)*(2*l**2 - 4*l**2 + l**2) in the form y*l**2 + z*l + i and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -503, -1013, -1511, -1991, -2447, -2873, -3263, -3611?\nAnswer: -3911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 682 - 267*q**2 - 39*q**2 - 682 + (2*q - q + 2*q)*(2 + 2*q - 2).\nAnswer: -300*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -245 = 56*r - 7*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n - 2. Let s(y) = -4*y - 9. Let j(t) = -9*k(t) + 2*s(t). Let f(z) = 291*z**2 - 141*z**2 - 173*z**2. Calculate f(j(h)).\nAnswer: -23*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3448 or -5?\nAnswer: -3448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 103.59559 + -103.6. What is s rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 79053*o**4 - 330453*o.\nAnswer: 948636*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 55021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -6, -269043, -4?\nAnswer: -269043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 11 = d + 5*i, -4*i = 2*d - 8. Suppose 8*y + 3*l = 5*y, 3*y - 1 = -d*l. What is the second biggest value in -1\/4, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + 0. Let u(f) = 8 + 6*f + 14 - 21. Let b(a) = 19*a + 2. Let j(y) = x*b(y) + 7*u(y). Differentiate j(h) wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) -0.3  (b) 0.3  (c) 2\/19  (d) 3  (e) -231  (f) 0.072  (g) -11\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -404*f**3*k**3*t**2 + 2*f**2*k**3*t + 2*f**2*k**3 - 14*f**2*k**2*t**2 wrt f.\nAnswer: -2424*k**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 10*d + 1. Calculate r(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*z**2 - 540*z - 1575 = 0. Calculate z.\nAnswer: -105, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the first derivative of 2*t**3\/3 + 6. Let n(b) be the first derivative of -b**2\/2 - 67. Calculate n(s(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 19\/2?  (a) -1\/24  (b) 0.1  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -g + 5, 4*w + g - 149 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s**5 - 4*s**4 + 4*s**4)*(-14 - 10 - 1) + 4*s**5 - s**5 - 2*s**5 + (-s + 2*s - 2*s)*(-s**2 + s**2 - 2*s**4) + 2*s**5 + 3*s**5 - 3*s**5.\nAnswer: -20*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u**2 - 15*u - 16. Does 12 divide k(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**3 + 7*p**2 + 7*p + 8. Let c be b(-6). Suppose 0 = c*t - 4*s + 61992, -3*s + 0*s = 5*t + 155006. Round t to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = v - 1, 1849*b + 5*v - 13 = 1852*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and 0.6329.\nAnswer: 2.5316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 - 1.1. Let b = 0.2 + o. Let g be 6\/10*(-200)\/540. Sort g, -5, b.\nAnswer: -5, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 436157871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * -49042483.\nAnswer: -4904248.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20, -64, -140, -254, -412?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-148)\/851)\/(2\/(-92)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 2, 3, 1, 8.\nAnswer: 2\/5, 1, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**3 - 13*q**2 - 3*q - 41. Let b be n(-13). Sort 4, 0, b in decreasing order.\nAnswer: 4, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13*(-6)\/(-234))\/(2\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -121000 + 11?\nAnswer: -120323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -30475, -60961, -91447, -121933, -152419?\n\"Answer: -30486*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2\/187 + -33107\/748. Let b(q) = q - 53. Let o be b(9). Let a = p - o. What is the closest to -1\/4 in a, -3, -2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f = f + 9. Let s = f - -39. Calculate the remainder when s is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/(-6) - (-201)\/6. Let r = -10 + 16. Suppose 0 = r*o - 2*o - 12. Calculate the highest common divisor of t and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 27 - 7. Suppose -3 = 3*b + 2*f - 8, 0 = -j*f + 16. Sort -5, b, 5 in ascending order.\nAnswer: -5, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 1\/5  (b) -2\/5  (c) 1\/3  (d) -0.03  (e) -0.123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -10, 0, -1, -2, -41, 3 in descending order.\nAnswer: 13, 3, 0, -1, -2, -10, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 15.8 or 5?\nAnswer: 15.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 6*n - 3*o = -33, 0 = -4*n + 3*o + 93. Suppose 40*s = 44*s - 60. Let c(p) = -2 + 35*p - n*p - s*p. Give c(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 251332.\nAnswer: 2, 19, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**3 - 95*k**2 - 95*k + 78. Suppose h - 33 = 2*w, 2*h - 88 + 23 = 5*w. Calculate the remainder when p(-94) is divided by h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sum 14 and 0.033.\nAnswer: 14.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -804784, -1609579, -2414374, -3219169, -4023964, -4828759?\nAnswer: -5633554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/59, -3\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 11*l**2 - 15*l + 73. Let b(s) = 12*s**2 - 16*s + 79. Calculate -9*b(d) + 10*z(d).\nAnswer: 2*d**2 - 6*d + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1913 is divided by 409.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 20*f - 64. Solve 39\/5*z**2 + 18\/5*z**3 + 3\/5*z**f + 12\/5 + 36\/5*z = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1219 - -1891. Let q = -672.000001308 + b. What is q rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 + j + 29. Let q be a(0). Let x = q + -21. Suppose 18 = f + x. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 times -1152?\nAnswer: 18432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 520821 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: Convert -66455 (base 8) to base 13.\nAnswer: -c94c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -7266, -29090, -65484, -116448, -181982?\n\"Answer: -7285*i**2 + 31*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*f - 2*o + 23, -2*f - 3*o = f + 18 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 2 = 0, -n = -5*q + 2*q - 227. Suppose 4*s + n = 4*l, 0 = -2*l - l + s + 170. List the prime factors of l.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 - (-190)\/(-6) - 2\/6. Let c be 77\/n - (-2)\/6. Sort 5, c, -4 in ascending order.\nAnswer: -4, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-560 - -597) + -60 + 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14428 = -2*z - 7018 - 7202 for z.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -4767662.96 to the nearest one thousand.\nAnswer: -4768000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 5*v + 1. Let l be (-1 - 0 - -4)\/v. Suppose o = l*o - 16. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -23.34 - -0.34. Let k = o + 21.9. Let d = -1.1009 - k. What is d rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -o - 170, 12*y - 4*o - 71 = 11*y. List the prime factors of y.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 270 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k + 12 - 12)*(-130*k + 9 + 197*k - 91*k).\nAnswer: 24*k**2 - 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.3803406 micrograms?\nAnswer: 0.0000000000003803406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 630978 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in w**2 - 6*w**2 + w**3 - 2*w**2 + 7*w**2.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*m - 3*w - 19, 5*m + 2*w + 6 = -9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 27 - 295\/11. Let q = -0.2 + -0.2. What is the biggest value in q, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1982 + -2705. Is u <= -723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 542.8 - 342. Let z = 201 - t. Which is the smallest value?  (a) -0.12  (b) z  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 299 and 1448759.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6 or 125398.12?\nAnswer: 125398.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**2 + 3*b + 2. Let n be k(-2). Let f(u) = n + 0 - 6*u. Let q be 1\/(-3*(-4)\/132). Let h(c) = -c. What is q*h(j) - 2*f(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes before 6:02 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1709?\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 3*i**2 - 353*i + 10079. Calculate k(64).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 84 + m**2 + 56 - 223 + 3*m + 9*m + 83.\nAnswer: m**2 + 12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*r - 4*r. Suppose 0 = -3*v - 3*o + 21, 3*v - 3*o = 38 - 17. Let p = r - v. Let s(w) = -w**2 + 7*w - 2. Calculate s(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -15615678 - 3?\nAnswer: -15615682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**2 - 4*z + 14. Let j be t(-6). Let q be (-4303)\/(-13) - (-1 + j). What is the greatest common divisor of q and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**3 - 7*s**2 + 13*s - 4. Let y be r(4). Suppose y = -2*d + 5*d - 6. Calculate the remainder when 7 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6914057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 2*n + 9 = -5*n, 3 = -l - 2*n. List the prime factors of l - -1 - 30\/(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-69*l**2 + 69*l**2 - 8*l - l**3)*(-3 + 3 - 4*l)*(2 - 3 + 2).\nAnswer: 4*l**4 + 32*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjjjwwjwnwwn. What is prob of sequence wjw?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 9\/27 + (-262)\/(-6). Suppose -3*l = m, 0 - p = -5*m - 4*l. Differentiate m*i - 16 + 0 + 19 wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/7  (b) 15  (c) -0.1  (d) -2\/17  (e) 24\/5203\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13427*b + 11751*b = 118996 for b.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n + 1 + 0 - 2. Let m(k) be the first derivative of k**4\/2 + 7*k**2 + 14*k + 863. Calculate -28*h(o) - 2*m(o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes after 2:56 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 14, 918, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*h + 6*h + 6. Suppose 0 + 12 = 3*m - s, 2*s = -3*m + h. Find the second derivative of 20*b**3 + 2*b + 9*b**3 - 33*b**m + 7*b wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59 = -8*n + 11 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*sqrt(65)\/sqrt(5) + sqrt(13) - (1*sqrt(13) + 4).\nAnswer: -4 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 4*h - 32. Let d be -17*(2 - 6)\/4. Does 12 divide g(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -15 + 12. Let x(h) = -h**3 - 3*h**2 - 2*h. Let q be x(w). What is the highest common divisor of q and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8528866 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**1)**(-2\/5))**(-9\/7)\/(((d\/((d**(-3\/7)\/d)\/d)*d)\/(d\/(d*d**(1\/6)*d)))\/((((d\/((d**4\/d)\/d))\/d)\/d*d)\/d**(3\/8))) assuming d is positive.\nAnswer: d**(-1339\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/(-3) + 76\/(-57)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**3 + 6*i**2 + 34*i - 180. Determine k(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**4 + 2*q**4 + q**4)*(-1 - 1 + 1) - 52*q + 29*q - 7169*q**4 + 23*q.\nAnswer: -7171*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -3918 <= -24900?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2025?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -7624605 (base 8) in base 16?\nAnswer: -1f2985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1645 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {v: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + 1\/((-2)\/(-6)). What is the second smallest value in -1\/2, 2\/33, u?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000145098 rounded to seven decimal places?\nAnswer: 0.0000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7522 - 150409\/20. Let r = -1\/20 - k. Is r at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000155922 rounded to 7 decimal places?\nAnswer: 0.0000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.778138 to 3 dps.\nAnswer: -7.778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31185 is divided by 3428?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2626000 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 46967177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence orw when three letters picked without replacement from {n: 1, r: 2, s: 1, o: 1, h: 3, w: 5}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**(1\/36))\/((p\/(p\/p**(11\/4)))\/p) assuming p is positive.\nAnswer: p**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 29\/3*(42 - -60). Suppose 3*j - n = -2*k, -21*j + 18*j - k = -982. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h + 20, 4*g - 301 + 69 = 2*h. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 11 - 2 = 0. Let u(f) = -4*f - 8. Let n(b) = 3*b + 7. Suppose 31*x = 21*x + 40. Let w(m) = x*u(m) + 5*n(m). Give w(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 - 8*x + 13. Let n(b) = 3*b + 1. Let q be n(3). What is the units digit of j(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.2 - 0.2. Let q = -0.3 - -0.1. Let d = q + v. Do 2 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 2*s + 11 = 0, 4*s = 4*v + 7*s + 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -0.47, 3\/2.\nAnswer: -0.47, 0.3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**2\/8 + 3849*d\/8 - 5787\/4.\nAnswer: 3*(d - 3)*(d + 1286)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/683542779 or -1?\nAnswer: -1\/683542779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -49 - -58 - (1 + (-1 - -7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18*w**3 + w**2 - 44*w**3 - w**2 + 4*w**2 - 7*w**2 to the form b*w + o*w**2 + n + v*w**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*u + 977 = u - 771 for u.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3898, 7164, 10428, 13690?\n\"Answer: -m**2 + 3269*m + 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1110 - 100011101001000?\nAnswer: -100011101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 2, -4, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(2) + sqrt(10)\/sqrt(5) + sqrt(2) + (sqrt(288) - sqrt(288)*2) + -2)**2 + (4*sqrt(12)\/sqrt(6) + 3)**2*-4.\nAnswer: -96*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes after 2:02 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0, -5, 2\/27, 32\/25, -2\/9?\nAnswer: 32\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*u**2 + 0*u - 3*u + 3*u + 4*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 81 - 26. Suppose -59*o = -j*o - 828. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -32856278 times -0.9?\nAnswer: 29570650.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 + 1122a1?\nAnswer: 1122a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 215 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -14\/2427 in -2\/9, 1, 4\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1250467.\nAnswer: 349, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 1\/3565184?\nAnswer: 1\/3565184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4397, -4394, -4391?\nAnswer: -4388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 3*i = 26. Let b = i + 17. Solve -4*l = -b*u - 13 - 7, 0 = u + 4*l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the first derivative of -l**3\/3 - 3303*l**2 - 10909809*l + 13203. Solve u(b) = 0 for b.\nAnswer: -3303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -52724?  (a) -0.61  (b) -0.1  (c) 4\/9  (d) 1\/3  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 36 (base 7) to base 5\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*p + 845 - 3287. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hzzujzhzvjhzvzzzzzz. What is prob of picking 3 h?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 96015.5m in millimeters?\nAnswer: 96015500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0, -2, -5, 2, -19219 in ascending order.\nAnswer: -19219, -5, -4, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25671809 is divided by 12835893.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/15, 1\/3, 2\/41, -0.45 in decreasing order.\nAnswer: 1\/3, 2\/41, -2\/15, -0.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 142*p. Let y(r) = -r**2 - 88*r + 36. Give y(s(g)).\nAnswer: -20164*g**2 - 12496*g + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3872 * 1.36.\nAnswer: -5265.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 - 0 - -16)*1*5. What is d rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 - 12*u**2 - u + 21. Determine q(11).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26897*d**3 - 26897*d**3 + 80687*d**3 - 26910*d**3.\nAnswer: -17*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23 + 45*o + 42*o - 7 + 29 - 92*o to j + c*o and give j.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -l**2 - 183346200*l - 8403957263610000 = 0. What is l?\nAnswer: -91673100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(4131) - (sqrt(4131) + sqrt(4131)*2 + sqrt(4131) + sqrt(4131)))\/((sqrt(6)\/sqrt(2) + sqrt(3))*6))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 432821 - 304211. Suppose b - s = -y, -b - b = 4*y - 514444. Let x = -1388 - y. What is x rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6844057, 13688140, 20532225, 27376312?\nAnswer: 34220401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(1872) + 3)**2.\nAnswer: 96*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 1:07 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**3 - 2*b**2 + 6*b - 5. Suppose 0 = -2*f + f - 2. Let h = 1 - f. What is the remainder when 65 is divided by s(h)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10618*d**2*z**2 - 203*d*z**2 + d*z + 11*d wrt d.\nAnswer: -21236*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.17555 times 348\nAnswer: -61.0914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 - -301202?\nAnswer: 301210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (29*h**2 - 59*h**2 + 26*h**2)*((-2 - 3 + 3)*(-3 - 1 + 3) + (-1 + 3 - 3)*(4 - 4 - 1)) - 2*h**2 + h**2 + 7*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -3*a**3 + 9*a**2. Let v(q) = -q**3 + 6*q + 8. Let s be v(-2). Let k(i) = -6*i**3 + 17*i**2. What is s*k(m) - 7*j(m)?\nAnswer: -3*m**3 + 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 - 6*x + 32. List the prime factors of j(9).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 - 7*m + (-2 + 0 + 0)*(2 - 1 - 2)*(4 + 4*m - 4) - 48*m + 74*m + 27*m.\nAnswer: 54*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.284 - 0.016. Let z = -2 - m. Let s = 2.5 + -3. Which is the smallest value?  (a) z  (b) 0.1  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:55 AM and 12:12 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqeeyexeyqey. Give prob of picking 2 q and 1 x.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20 and 3032.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 129707874 + -69518874. What is x rounded to the nearest 1000000?\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.03  (b) 1\/2  (c) 4  (d) -168  (e) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (13 - 1)*(-10)\/(-30). Let m be (-14)\/(-1) + j\/(-1). Let x(g) = 5*g**3 - g**2 - g + 1. Let z be x(1). Solve z*o - 6*o = m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2715 and 5157595?\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s = -5*w + 20, -2*w - 1 = -2*s - 9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 11 = 43. Suppose 3*c = a + 3. Let g(l) = 0*l + 0 - 3*l + 0*l - c. Let x(y) = -y - 3. Determine -2*g(b) + 7*x(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1322023 - 2?\nAnswer: 1322021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -0.07672, 3, 10, 0.13?\nAnswer: -0.07672","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 0*y = 4*y + 11, -3*c - 4*y = -13. Let s(p) = -7*p - p**3 - 5 - 6*p**2 + 9 - p - c*p**2. What is s(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve p = -5*t - 3, -6 = -272*t + 277*t + 2*p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/5, 5, -38 in decreasing order.\nAnswer: 5, -1\/5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -2\/7, -2099, -0.5, 1\/5, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-7)\/6*(0 - (-54)\/(-84)). Sort l, -1, -3, 0 in increasing order.\nAnswer: -3, -1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -502 - (0 + -1 - -4). Let d = -2558\/5 - a. Calculate the common denominator of -45\/8 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**5\/y**(-2\/15))\/(y**(-2))**(7\/4) assuming y is positive.\nAnswer: y**(259\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 70296 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**5 - h**2 - h + 1. Let n(s) = s**5 + 12*s**4 + 15*s**3 - 64*s**2 - 16*s + 52. Let m(y) = 4*j(y) - n(y). What is r in m(r) = 0?\nAnswer: -2, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bmn when three letters picked without replacement from ubnmcbcr.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 42100410 (base 5) to base 13\nAnswer: c1c1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 - 174\/(-15) - (-6)\/15. Solve 0 = 8*j + t + 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/15*b**2 + 98304\/5 - 512\/5*b.\nAnswer: 2*(b - 384)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 - -19\/3. Let a be -6 + (-4873)\/(-759) - (-18)\/(-207). What is the closest to -6\/11 in g, a, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.01 in 8, 3\/4, -5\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 23200 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2412*n - 28396 = -168292 for n.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23 is divided by 3\/(0 - (-1)\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2514*y - 846*y - 837*y - 883*y + 260 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i + 0 + 0)*(2*i**2 - i + i) + (0 + 0 + 2*i)*(2 - 2 + i**2).\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*v + 5*v = 8. Let i be (v\/8)\/(4\/(-16)). Let t be (-2)\/(i\/(-5))*(-15)\/(-25). Solve -5*y + t = 5*b - 2*y, -3*b + 5*y - 5 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sz when two letters picked without replacement from {i: 3, s: 4, z: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 9 = 24. Suppose 5*x - 14 = -4*j, -3 = 3*x - 3*j - h. Solve -7*r + 2*r + 4*t = -11, -2*r + 2*t + x = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2711670 by 3.\nAnswer: 903890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2792288130.\nAnswer: 2, 3, 5, 93076271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010 + -10010011110000111101?\nAnswer: -10010011110001000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -144*j - 15. Let u(t) = 9*t**2 + 29. Give u(i(r)).\nAnswer: 186624*r**2 + 38880*r + 2054","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9179.8189 + 0.014.\nAnswer: 9179.8329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Is -1\/215227713 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 17*n - 8*n**2 - 11*n + 5*n**2 - 3*n + 3*n + n**2 - 3*n**2 - n**2 + 2*n**2 + (2*n - 3*n - n)*(-3 + n + 3) - n**2 + n**2 - n**2.\nAnswer: -7*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (180 + 12012\/(-77))\/(15\/4)?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 98  (b) -0.1  (c) 1.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 8, 3, 5, 233 in increasing order.\nAnswer: 1, 3, 5, 8, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**2 + 2*r - 3. Suppose 0 = 2*t + 3*g - 75, 5*t - 173 = -3*g + 37. What is the remainder when t is divided by n(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-80)\/(-25))\/(-8))\/(2\/(-25)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -31, -72, -129, -208, -315?\n\"Answer: -g**3 - 2*g**2 - 28*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*o + 3005 = 3135 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 56.9 - 58. What is the third biggest value in 2, 0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -19 + 29. Let r = 1556 - 1550. Suppose 4*h = -i + r*h + 13, 3*h + 24 = 3*i. Solve -5*b - i*j = -w, j = -2*j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (7 - 7) + (1 - -1). Find the second derivative of -m*y**3 + 7*y + 10*y**3 - 8*y**3 + 8*y**4 wrt y.\nAnswer: 96*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1\/4, -6\/11, 4547 in descending order.\nAnswer: 4547, 1, -1\/4, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -26 - 28?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4492 = -25*w + 29*w. Let p = w - -3284. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -5*q**3 - 2 - 25*q + 7 + 141*q**2 - 147*q**2. Is v(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 2*c**3 - 3. Let j be m(3). What is the highest common divisor of 34 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 547, 1847, 5379, 12259, 23603, 40527, 64147, 95579?\n\"Answer: 186*g**3 - 2*g + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15 + 5*i**3 - 17*i**4 + 26*i**4 + 5*i**3 + 14 to the form x*i**4 + o*i + m*i**2 + f + p*i**3 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/16)\/((-2)\/128*8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*y - 0. Let x be (-10)\/(-6) + (-1)\/(-3). Calculate the remainder when y is divided by 7\/x - (-1)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 3977985 - 3978020 = 2*j, -3*a + 4*j + 67 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -2*g**3 + 2 + g**3 - g**2 + 4*g + 2. Let k be (-2)\/5 + (-440)\/275. Let u be y(k). Solve s + 5*w - 15 = u, w = -3*s + 5 + 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-462)\/385)\/(2\/570). Let o = -339 - p. Solve 2*x - 3*q = -0*q + o, x + 5 = -5*q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -307161 (base 10) to base 7.\nAnswer: -2416341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pop when three letters picked without replacement from {o: 2, p: 2, u: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 32 - 23. Let f = z - 6. Let u = 1.94 - -0.06. Sort f, 0.5, u in ascending order.\nAnswer: 0.5, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 241\/3 + -80. Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -d + 20, -4*a = a + 2*d + 5. Let q(k) = k - 4. Let i be q(7). Calculate the remainder when (-69)\/(-3) - (i + a) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 + -30567?\nAnswer: -30567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35.31447 weeks to days.\nAnswer: 247.20129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4344 - -30406\/7. Which is the fourth biggest value?  (a) -5\/11  (b) -4  (c) -6  (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 323893.2 centimeters in meters?\nAnswer: 3238.932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 171265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 5387821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o + 8*k - 4*k + 7 = 0, -3*k = o - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 + 2. Let h = x - 4. Suppose -62*a + 56*a + 6 = 0. Solve 2*q = -a + h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3274159?\nAnswer: 7, 467737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -180.5 and 12?\nAnswer: -2166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*g**2 + 22262 - 22262.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h + 5*n - 211 - 258, -2*h + n = -231. Suppose 112*x = h*x - 8. Solve -7*c - x = -9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(2) - sqrt(20)\/sqrt(10)) + 4)**2 + sqrt(24)\/sqrt(3) + 4.\nAnswer: 2*sqrt(2) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p - 2*p**2 + 2*p**2 + 4*p**2 + 29*p + 34*p.\nAnswer: 4*p*(p + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -6*m**2 + 14*m - 14. Suppose 30 = 5*u - 0*u. Let t(z) = -1 + u + z**2 + z**2 - 5*z. Let o be (-41)\/82*(-2 + 36\/3). Determine o*n(f) - 14*t(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**2 - 5*k + 3. Calculate the remainder when 8 is divided by v(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 5 = -4*z. Let i(p) = 15*p - 18*p - p**2 + 7 + 8*p + 0*p**2. Give i(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*h - 9*h + 3*w = 33501, 5*h + 2*w - 41878 = 0. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, v: 3, l: 2, b: 1, q: 5, r: 1}. What is prob of sequence be?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*u + 13*u + 11*u)*(2 - 2 + 2*u) - 5*u**2 + 4*u - 4*u.\nAnswer: 31*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {f: 4, k: 1, v: 1, z: 2, h: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -45059, -45092, -45147, -45224, -45323, -45444?\nAnswer: -45587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-6331)\/2)\/((-2)\/4). Let p = k + -50735\/8. Let s = -436 + 839\/2. What is the common denominator of s and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the third derivative of 3\/4*w**3 + 1\/4*w**4 + 33*w**2 + 3\/160*w**5 + 0 + 0*w - 1\/320*w**6. Determine h, given that r(h) = 0.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -50 - -52. Suppose 5 = a*u + 11. Which is smaller: -5\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (4710\/45)\/((-15)\/(-9) + -1). Let t = b + -147. Suppose 0 = 3*w - 0*w, 3*v = -2*w + 18. What is the least common multiple of v and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -201 + 203. List the prime factors of (-4)\/(-2) - (-1060 + 4 + a).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2816 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*b**4 + b**3 - 3759*b**2 + b + 29521.\nAnswer: -24*b**2 + 6*b - 7518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are 16 and -4.6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 863 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**3 + 4*n**2 - 4*n + 6. Let u be c(4). Let p = u + 14. Suppose 0 = -m + 4*a - 16, -17*a = -4*m - 20*a + 12. Solve m*i - i = -p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 - 6*q**2 - 6*q + 10. Let b be (1 + 9\/(-6))*2. Let y = b - -8. Is 12 a factor of o(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, 50, 119, 216?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l. Let f(s) = 532043317*s**2. What is z(f(h))?\nAnswer: -532043317*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**2 + 2*q + 10. Let f be r(3). What is the units digit of 87\/8 - f\/(-56)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -46 + 64. Let v = -12 + q. Suppose -5*r + 0*s + 17 = 2*s, -5*r = -4*s - 11. Solve c - 1 = 4*o, 0 = -2*o + r*c - v - 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 4*f - j = 323, 0 = 5*j - 15. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 2*t, -6*c + 2*c + 4*t + 292 = 0. Let d = c - 9. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 170352187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 2897 = 5*x + 3560, -4*r = 4*x - 8556. Calculate the greatest common factor of 1273 and r.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1093 = 16*a + 405. Suppose a - 13 = 6*j. Determine z so that 10*z - 4*z**2 + 18*z**4 - 21*z**2 - 15*z**5 - 14*z**4 + j*z**3 + 21*z**4 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 20 and 10955380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -b + 3, 2*d + 5 = -b. Let y be (12\/120)\/(d\/2). What is the nearest to 2\/3 in -4, y, -5\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**2 + 2*c - 1. Let h be r(-4). Suppose -139 = -4*i - h. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 32 and 134080656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -3*h**2 - 3*h - 1. Let a be b(-2). Let l = 11 + a. Suppose 0*r + 12 = l*r + 4*v, -2 = 2*r - 2*v. Solve -3 + r = -2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -221112.7 take away 3579?\nAnswer: -224691.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 10 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.976  (b) -2\/7  (c) 11\/5  (d) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 25403509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10 by 120335.\nAnswer: -2\/24067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 205417 + 261389 = 2*y - 315712. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -62, -1, 3, 0, -1422 in increasing order.\nAnswer: -1422, -62, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of a*f*v**3 - 12*a*f*v**2 - 2922*a*v**3 - f*v - 302324*f + 2*v**3 wrt a?\nAnswer: f*v**3 - 12*f*v**2 - 2922*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -9450, -9523, -9610, -9717, -9850, -10015?\n\"Answer: -j**3 - j**2 - 63*j - 9385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 24 + 12. Let y = 4898 - 4894. Which is the third biggest value?  (a) t  (b) y  (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 79 = 87. Let r be (-12)\/((-5 - (-42)\/q)*-4). Solve -m = -5*m - r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 20110 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (6 - (-444)\/(-84)) + (-182130)\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -3*w**3 + 13*w**2 + 14*w - 75. Give f(-9).\nAnswer: 3039","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3500417499.\nAnswer: 3, 101, 11552533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 5*k**2 - 70*k + 195. Let f be y(4). Let c(x) = -x**2 - x. Let p(v) = -v - 5*v**2 - 1 - 3*v**3 - 1 - 4*v. What is f*c(u) + p(u)?\nAnswer: -3*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12576 and 1512.\nAnswer: 792288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - 1 + 6. Suppose b*y = 3*y + 20. Calculate the lowest common multiple of y and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -48, -114, 7, 15, 3 in descending order.\nAnswer: 15, 7, 3, -48, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r + 2*r**2 - 2*r + r**2 + 3 - 3 + (2*r - 2*r + r)*(-5*r + r + 2*r) - 3*r**2 - 419411 + 419411 + 76*r.\nAnswer: -2*r**2 + 76*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a day in hours?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 4*n = -12. Suppose -t - 56 = -2*j, 0 = -5*j + j + 5*t + 124. Let f = j - 27. What is the third biggest value in n, -0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -63 + 1394 + 817 + 0*j - 3*j + 136 as t*j + h and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -5*d. Let v be t(-1). Let x(j) = 23 + j + 10*j - 7*j. Let y be x(-7). Sort v, 4, y.\nAnswer: y, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1425 and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -442 + -5?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7 (base 10) to base 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3245021697 to the power of 1\/4, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 161944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 326 + -248. Suppose -f*t = -85*t + 194670. What is t rounded to the nearest one thousand?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 518689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 11 - 1. Suppose 0 = -8*v + d*v + 30. Let r(a) = a**2 - 4*a - 4. Calculate the least common multiple of r(v) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1763709768.\nAnswer: 2, 3, 8165323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1241099, -2481902, -3722703, -4963502, -6204299, -7445094, -8685887?\n\"Answer: o**2 - 1240806*o - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 4)*(78*t - 122*t + 111*t)*(t + 5 - 5).\nAnswer: 134*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1115.824 + -129.834. Let x = -986 + o. Put 4, x, -0.7 in descending order.\nAnswer: 4, x, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-24)\/(-13)*1 - 2. Let h = -2\/9 - -19\/45. Let j = -0.8 - -1.1. Which is the biggest value?  (a) j  (b) g  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.43*-0.4.\nAnswer: -0.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/1 + 66\/(-6) + 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -0.14, 2\/3 in descending order.\nAnswer: 2, 2\/3, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 24399 + -24390. What is the greatest common factor of 18243 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 279087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1614 - 1574. Solve -v = 8*w - 0*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**3 + 30*h**2 + 365*h + 79. What is the units digit of p(35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 + 3 = -3*b. Suppose -1177 = -b*q - 280. Let v = q + -112. What is the highest common divisor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2567014119 + -339.\nAnswer: 2567013780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 121*v + 827 + 495 + 1461 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 72445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 22805 - 22804.7. Let o be 1\/(6\/2 - 0). Which is the biggest value?  (a) o  (b) m  (c) -383\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4313 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -11.10442 to 0 dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are 390 and 2341\/6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-65)\/(-55) + (-2)\/11. Suppose -5*x + 3*v + 9 = 0, -4*v + m - 8 = -5*x. Solve -3*r + 1 = -q, 4*q = -r + x*r + 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -54 - -56.1. Let y = 2 - w. Let k = 16.77 + -20.77. What is the nearest to y in -2\/3, 4, k?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes before 5:02 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 11010100000001010 (base 2) to base 5\nAnswer: 11433204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4401109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(0 + (sqrt(833) - (sqrt(833) + -2))**2 + 3 + 5 + sqrt(833)*1).\nAnswer: 60 + 35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*j**5 + 247536*j**4 + 3832103616*j**3 + 76543089920*j**2.\nAnswer: 4*j**2*(j + 20)*(j + 30932)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 8:11 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 897 - 2?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/1415 and 38\/2313525.\nAnswer: 2313525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 45*w**3 - 5*w**2 + 6*w**2 + w**2 - 2 - 1 - 2 to g + a*w**3 + r*w**2 + b*w and give a.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*a + 47*a = 315*c - 316*c + 47, 7*c = 4*a - 22 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q + 3. Let h be b(-7). Suppose 4*k = i - k - 17, -4*k = -2*i + h. Let v be 48\/(-36)*1*i. Solve 0*d + 16 = v*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/7  (b) -3\/2  (c) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the third derivative of 13*g**6\/120 - g**5\/30 - g**4\/8 + 7*g**3\/2 - 15*g**2 + 3*g. Find the second derivative of w(m) wrt m.\nAnswer: 78*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the second derivative of -b**5\/140 - b**4\/42 + b**3\/42 + b**2\/7 + 7*b + 2. Factor v(q).\nAnswer: -(q - 1)*(q + 1)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 take away 0.1810688?\nAnswer: -0.0810688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f, 1 h, and 1 o when four letters picked without replacement from follhoofolllloloooh?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 357759 is divided by 430?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/(-66)*(-864)\/(-10584)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -3 + 0 + (7 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 263 - -6?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1981 is divided by 311?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -25 (base 7) to base 8.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.058 - -0.021. Round m to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 3, g: 4, a: 11}. What is prob of picking 3 a?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 145674 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(33)\/((2*sqrt(11) + sqrt(11))*-2).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 + 6 + (6 - 10) + 3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -37692, -301500, -1017528, -2411886, -4710684, -8140032?\n\"Answer: -37685*g**3 - 13*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve c + 5*j = -230 + 185, 5*j = 2*c - 45 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -7038, -32, -3, 46, -2, -5 in descending order.\nAnswer: 46, 4, -2, -3, -5, -32, -7038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -14181 divided by 163?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 167 = 5*f, 0 = 4*i + 11 + 5. What is the highest common divisor of f and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.007668359981 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 1786824*x - 37 + x**2 - 66 - 1786794*x. Determine j(-33).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:45 PM and 1:57 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -4 + (-3 - (-36)\/4). Suppose -12 = -v*o - 2*o. Solve -3*q - 1 = l - o*l, l - 4 = -2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-2\/19)\/(t**(2\/7)\/t))\/(t**(-22)*t*t**17*t))**(2\/67) assuming t is positive.\nAnswer: t**(960\/8911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 7*u + 25. Let z(v) = -v - 9. Let q(y) = -8*y - 45. Let t(k) = q(k) - 5*z(k). Determine t(w(x)).\nAnswer: -21*x - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 7219 greater than 14159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 92*z**2. Let r(i) = -19*i - 3. Determine m(r(s)).\nAnswer: 33212*s**2 + 10488*s + 828","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q = 694 + 602. Let u be (-4)\/18*1 - 1031043\/q. Let m = u + -4762. Calculate the common denominator of m and 37\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 367 = 5*j, 3*j + 4*o = -0*o + 209. Calculate the remainder when j is divided by (2 - -28)*(168\/(-36))\/(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/(-6)*9\/2. Suppose 0*l = l - d. Solve 0*b - 5*i = l*b - 12, 3*i = -2*b + 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 2*l + 18 = 0. Let k = l - 7. Calculate the remainder when 20 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 615*m + 192*m - 33669 = -354*m for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 34189 + -22247. Is n a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, z: 1, x: 3, t: 5, e: 2, y: 1}. What is prob of picking 1 t and 1 z?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x - 2 + 2)*(3*x - 6*x + 2*x) + 11*x**2 - 37*x + 10*x + 0*x.\nAnswer: 9*x**2 - 27*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 677 + -677. Sort z, -1, 2, -35 in increasing order.\nAnswer: -35, -1, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 38267.\nAnswer: -3\/38267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the second derivative of 3*n**5\/20 + 9*n**2 + n. What is the first derivative of o(i) wrt i?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 - 3527154?\nAnswer: -3527153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -1660\/61 != -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11 + 10. Let y(t) = -8*t. Let b(j) = -j. Let z(d) = q*y(d) + 3*b(d). Let l(u) = u. Give l(z(n)).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 45 and 2024800.\nAnswer: 18223200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 14581.\nAnswer: 3\/14581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 934227244?\nAnswer: 2, 157, 1487623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.222  (b) -31  (c) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7304*l**3 - l**4 - l**2 + 52*l + 7283*l**3 - 50*l to the form v*l**2 + y*l**4 + d*l + g + b*l**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 43937095171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 57917 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-1) + -1 - -17. Let p be (-24)\/(-2) + u\/6. What is the highest common factor of 165 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 + 3)*(0 + 4 - 5)*(0 + z + 0) + 93*z + 38 - 38.\nAnswer: 91*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -117*z**2 + 62*z**2 + 61*z**2. Let q(r) = -4*r**2 - 3. Let n(d) = -3*d**2 - 2. Let y(p) = 3*n(p) - 2*q(p). Give v(y(f)).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0\/((-3)\/1 + 4). Suppose 5*l + 2*h + 324 = -q*h, -2*h = -l - 72. What are the prime factors of (3465\/l)\/(2\/(-4))?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 2\/3  (b) -2  (c) 0  (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1014 = -8519*x + 8597*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -29a021b (base 12) in base 3?\nAnswer: -120211201212112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -4 and -2066639?\nAnswer: 2066635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1251570418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 297658.2t?\nAnswer: 297658200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.08 - -0.32. Which is the nearest to 0?  (a) 1  (b) s  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-nine quarters of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 4 + 15*d + 4 + 95*d.\nAnswer: 110*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 74933 is divided by 4995?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -57*(-1)\/8*8\/3. Solve 7 = -2*b - a, -s*b = -21*b + 5*a + 23 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -80278948 divided by 3.\nAnswer: -80278948\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*a + 2311 - 2305 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*k**2 - 2*k**2 - 2*k**2)*(2*k**3 + 4 - 4) + (21*k + 23*k - 19*k)*(k**4 + k**4 + k**4) - k**3 + 2*k - 2*k - k**5.\nAnswer: 78*k**5 - k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the first derivative of 2*a + 4 + 0*a**2 + 1\/3*a**3. Give g(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvvpp. What is prob of picking 3 v and 1 p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7063613*x**3 - 16202085*x**2 wrt x.\nAnswer: -42381678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -p**3\/2 + 5*p**2\/2 + 4*p - 6 = 0.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 20478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the third derivative of h**6\/30 + 17*h**5\/60 - 127*h**4\/8 + 2*h**2 + 370*h. What is the second derivative of s(p) wrt p?\nAnswer: 24*p + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.18 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -57*g*z**3 - 124*g*z**2 - g*z + 5*g - 11*z**3 - 2*z**2 + 47*z - 7 wrt z?\nAnswer: -342*g*z - 248*g - 66*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -2*w**2 + 3*w - 17. Let i(z) = -8*z**2 + 14*z - 68. Let c(o) = -9*f(o) + 2*i(o). Differentiate c(k) wrt k.\nAnswer: 4*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5150*v**2 + 393 - 393.\nAnswer: -5150*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 151 - 157. Let g(l) = 22*l + 134. Let q be g(y). Solve 1 = -r - q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2874762 by -9.\nAnswer: -319418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 + -2. Suppose -2*o + 6 = -w - w, -o - 2*w - 3 = j. What is z in o - 7*z**4 - 4*z**5 - 2*z**3 + 3*z**5 + 3*z + 2*z**2 + 4*z**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 - 4)\/((-196)\/3010). Which is smaller: n or 32?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ziaziszwwwaz. Give prob of picking 1 a and 1 s.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**1)**(-7\/3)*(i*(i*i**(-6))\/i*i)\/(i*i*i*i**(-7)*i*i*i*i) assuming i is positive.\nAnswer: i**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) -380  (c) -0.9  (d) -3  (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*o = 16*o - 18824 - 28531. Calculate the greatest common factor of 123 and o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -30*o**2. Let j(d) be the second derivative of -d**5\/40 - 11*d**3\/3 + d. Let x(w) be the second derivative of j(w). What is x(r(c))?\nAnswer: 90*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1432 - -1428. Let u = -2 - -2.5. Let j = u - 1. What is the smallest value in j, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*(4\/(-60) - (-6)\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -3*p + 14. Let w be a(6). Let r be 19\/28 + 1\/w. Let f = -3 - -3. Is f equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 30 + (-2 + -23 - 0) + -100\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 times 460?\nAnswer: 12420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 795 - -364. What are the prime factors of p?\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -484\/805 + 18\/35. Let p be ((-483)\/(-49) + -9)\/3. What is the closest to -0.1 in z, 0.1, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16038755 (base 9) to base 7.\nAnswer: 124660022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 263211*z**3 + 352490*z.\nAnswer: 1579266*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -384*-2156.6\nAnswer: 828134.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -35 - -6556a2?\nAnswer: 655669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(2\/13)*g**3*g)\/(g*g**(-3)\/g*g**(-1\/3))*(g\/((g\/(g**(-4\/5)\/g*g))\/g)*(g**5*g)\/g*g)**(-2) assuming g is positive.\nAnswer: g**(-958\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/8 and 725\/180 - (2 - (-9)\/(-4)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*y = -2*g - 4*y, -2*y + 1 = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11\/1104 or -1?\nAnswer: -11\/1104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -318 in 0.9, -0.2, 12.657?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -6009026616 less than -0.215?\nAnswer: 6009026615.785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:34 AM and 10:39 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -5117, 1, 36 in descending order.\nAnswer: 36, 1, -5117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0004589 rounded to five decimal places?\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 3473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the first derivative of 5*t**6\/3 - 8*t**3\/3 + 6. Find the third derivative of y(h) wrt h.\nAnswer: 600*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the first derivative of 8653*v**5\/5 + 421*v - 2651. What is the derivative of k(a) wrt a?\nAnswer: 34612*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from qqqrrqrqqrqrrqrqrr?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 - 2)*(3*j + 2*j - 4*j) - 1 - 2*j - 1 + 0*j to x*j + n and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 4 + 2)*(6*d - 12*d + 7*d)*(-2 + 5 - 2) to the form h + q*d and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + 495\/462*1*-2*(-231)\/(-44)?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 103219 and 443?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**2 + o. Let n be 18\/(-15) - (-11)\/5. Let a(m) = 4*m**3 + 4*m**2 + 3*m. Let g(v) = -v**3 + v**2 + 13*v - 6. Let d be g(4). Give d*p(w) + n*a(w).\nAnswer: 4*w**3 + 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/9*(0 + -3). Find the second derivative of -q + q**3 + 5*q - u*q wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55823513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(153) - ((sqrt(153) - (1 + sqrt(153))) + 1) - sqrt(153)*-1*3) + -3 + 0 + sqrt(153) + 1*(sqrt(153) + -1) + sqrt(153))**2.\nAnswer: -294*sqrt(17) + 7546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*u - 20554 = -115*u. Solve -16*t - u = -303 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1222090870 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00124998 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10813 is divided by 101?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1345 minus 0.8?\nAnswer: -0.9345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 + -63?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -119*f**3 + 903*f**2 + 6*f + 6. Let s(j) = 118*j**3 - 903*j**2 - 5*j - 5. Let z(o) = -5*l(o) - 6*s(o). Find the third derivative of z(x) wrt x.\nAnswer: -678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.04?  (a) 2\/23  (b) 6226205  (c) 5  (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*(1 + sqrt(720)) + 3 - -1*(1 + sqrt(720))*-1)**2 + 3)*-2 + -2.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 172 a factor of 6020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -4*w - 4, 0*k - 2*k + 5*w = 1. Suppose -129 = 6*z - z - 2*s, k*s - 4 = 0. Let y = z - -42. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y\/y**(2\/7))\/y)**(1\/10)\/((y*y**(1\/5))\/y*(y*y\/(y*y**(-5\/2))*y)\/y) assuming y is positive.\nAnswer: y**(-127\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 4*k = 0. Suppose 4*g = 2*h + 16, g + 2*h + 0*h - 14 = k. Calculate the remainder when 24 is divided by 29\/2 + g\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*r = 45*r - 8. Let m(i) = -23*i**2 + 20 + 44*i**r - 22*i**2. What is m(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c + 3*c = -80. Suppose c + 52 = 2*w. Let a(l) = 2968*l - 11832. What is the lowest common multiple of w and a(4)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 + 7 = -4*p. Let l be (-2)\/6*0 - 2. Let x be l\/((-6)\/9) + 1. Solve p = -x*s, s = 5*u - 11 - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 94 divided by -94?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -389 + 3500\/9. Which is the smallest value?  (a) -5  (b) -2\/55  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1433.512l in millilitres?\nAnswer: 1433512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 - 0 - ((-25)\/(-5) - 24). Suppose 9*p + a = 13*p. Suppose p*i - 45 - 100 = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -163*j**4 + 343*j**3 + 923*j**2 + 565*j + 122. Let u(p) = 27*p**4 - 57*p**3 - 154*p**2 - 94*p - 20. Let z(g) = -2*s(g) - 13*u(g). Factor z(h).\nAnswer: -(h - 4)*(h + 1)*(5*h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -151*s + 306*s + 540 = 175*s. Which is the biggest value?  (a) 5  (b) 25  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-298497)\/584)\/(-29) + (-3)\/(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26676 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 37264, 74530, 111796?\nAnswer: 149062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 5*h - 3*h - 5*w, w = h - 5. Let j = 42 - 28. What is the smallest common multiple of h and j?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1325 and 225?\nAnswer: 11925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -231 + 162. Let l = p + 71. Which is the third biggest value?  (a) l  (b) 4  (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(4200))\/(sqrt(18)\/sqrt(75)))**2.\nAnswer: 70000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 a factor of 129993695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.1117 - -0.0217. What is the closest to 0.1 in 4, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2952 + 4192. What is the highest common divisor of 3844 and a?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 157657688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of b**3*s + 175*b**3 - 14*b*s wrt s.\nAnswer: b**3 - 14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 603886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2789 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -51*t**2 - 17*t + 7.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 187 + -187.03136. Round y to 3 decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**2 - t - 1. Let r be l(-2). Let x = r - 3. Let y be 2\/x - (6 + -5). Solve 0 = -4*i + f - 2*f + 3, -5*f - 5 = y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 27*l**3 + 5*l**2 + 129*l + 25. Let m(j) = 23*j**3 + 4*j**2 + 128*j + 22. Calculate -6*f(g) + 7*m(g).\nAnswer: -g**3 - 2*g**2 + 122*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 55*x**2 - 129*x + 19. Is b(18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10744 + -10685. Let l = 6 - -6. What is the remainder when k is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c + 3*k + 1 + 6 = 24, -2*k - 34 - 16 = 16*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of a**2 + 24*a + a**2 + 7*a**6 - 24*a wrt a?\nAnswer: 840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 625950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l + 2*k + 158, k - 5 = -9. Let v = l - -183. What is the highest common factor of v and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 - 2 - -1 - 175*(-322)\/4715?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 139, 139, 147, 169, 211, 279?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-21)*d\/(d*d**(3\/13)*d)*d)\/((d\/d**(1\/2))\/d*d**13\/d) assuming d is positive.\nAnswer: d**(-851\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -1. Let j(r) = 4*r - 6. Let s(l) = -6*i(l) + j(l). Let w(g) = -2. Let x(u) = -u - 1. Let h = 3 + -1. Let d(k) = h*x(k) - w(k). Give d(s(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 205\/15*-6*(-32)\/2.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-15)*z*z**4*z*(((z*z**(-10\/3)*z)\/z)\/z)\/z*z**(2\/11) assuming z is positive.\nAnswer: z**(-434\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76*z + 91 = 547. Let s = 64 - 39. Let x be z\/10 + 10\/s. Which is greater: x or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 4, o: 1, l: 5, w: 3}. What is prob of picking 2 l?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -2*i**3 - 29*i**2 - 9*i + 13. Let x be j(-14). Put -4, x, 0.4, -0.3 in increasing order.\nAnswer: x, -4, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -214, -5, -78 in increasing order.\nAnswer: -214, -78, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 57\/2 of a micrometer in nanometers?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*3*1*(sqrt(119) - (sqrt(119) - (1*sqrt(119) + sqrt(119)))))\/(-2*2*sqrt(7) + (-2*(sqrt(7) - -2*sqrt(7)) - sqrt(7))))**2.\nAnswer: 9792\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 2019530 to the nearest ten thousand.\nAnswer: 2020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70 = 9*o - 47. Solve -o*x + 10*x = -11*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p = 3*t - 2*t - 4, t - 4 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.06*-284.082.\nAnswer: -17.04492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00003579159 rounded to 7 decimal places?\nAnswer: 0.0000358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(2\/(-8))*(-59)\/((-5428)\/(-69))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 102 + -16. List the prime factors of a.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 50201 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-26)\/(-143) - 64848\/(-44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15943, 31883, 47825, 63769, 79715, 95663, 111613?\nAnswer: 127565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -7*v**2. Let i(t) = -19968277*t. Give i(o(a)).\nAnswer: 139777939*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*u**3 - u**3 + 3*u**3 + (262*u + 580 + 805 - 1394)*(-u - u + 3*u)*(-3*u + u + u).\nAnswer: -264*u**3 + 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1735*w**4 + 136*w**3 + 4*w**2 + 18466*w - 5 wrt w?\nAnswer: -41640*w + 816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9517233 is divided by 42.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**3 + o - 18. Let n be v(0). Let z be (-55)\/(-3) - (-6)\/n. Let l = z + -1. Calculate the remainder when 66 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 5, -40023736, 2 in ascending order.\nAnswer: -40023736, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13222 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.0011 and -0.05404.\nAnswer: -0.05514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 2, o: 5, g: 3}. What is prob of sequence ogog?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -5*h + 15, -2*r + 14*h = 9*h + 15. Suppose 2*x - 101 = -5*o, 5*x = -r*x - o + 195. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 74\/105 and -107\/1200.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3216*c - 64047 - 3489 = 0 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that k**3 - 132775*k**2 + 4401518767*k + 383937765207 = 0.\nAnswer: -87, 66431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 2*u**2 - 1 + 2*u**2 + 0 + 0 + (u + 2*u - u)*(-2*u + 4*u - u) + (-3*u + 6*u - u)*(3*u - u + 0*u) - 92*u**2 - 153*u**2 - 133*u**2 + 2*u**2 + 2*u - 2*u.\nAnswer: -370*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-2 + sqrt(396)*-2)**2*-3.\nAnswer: -4766 - 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmejemjmeeeeeemmmeee. What is prob of sequence jee?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-6*(sqrt(847) + -2) + (sqrt(847) - (-1 + sqrt(847)))*3 + -1 + -1 + 5 + -1))**2.\nAnswer: -35904*sqrt(7) + 492496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -12 in -0.1, 1\/7, 60, 5, 18\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.1 + 0. Let g = -1 + 0. Let l be (g\/(-3))\/(6\/(-4)). What is the closest to p in 3, -0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 9 - 11*h**3 - 2 - 4 - 2 + 2*h. Let c = 34 - 35. What is d(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0.67, 179 in ascending order.\nAnswer: 0.67, 3, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 5*b = -16, -3*j + j + 4*b + 18 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the second derivative of 0*f**3 - 5*f + 0*f**2 + 1\/75*f**6 + 0 + 1\/50*f**5 + 0*f**4. Solve g(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 62894 and 5018?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*z**2 + 392857912*z = 0. Calculate z.\nAnswer: -98214478, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*w = 141*w + 15*w - 1144 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 608*r - 3064. Give p(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(1*sqrt(68) - sqrt(68)))\/sqrt(4) + (sqrt(2448) + 1 - sqrt(2448)) + -3 + 5)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 14\/13*j**3 + 16\/13*j**2 + 0 + 2\/13*j**4 - 32\/13*j = 0. Calculate j.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -465 = 1593*p - 1578*p + 30 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 3*h = -2, 2 = 15*m - 10*m + 3*h. Let f(w) be the third derivative of w**6\/24 - w**5\/30 + w**4\/24 - 2*w**2. Calculate f(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 5*w, 5*q - q = -2*w. Suppose 3*n + 5*g = -18 - 2, w = -3*n + 5*g - 10. Let f(y) = y**3 + 5*y**2 - 4*y + 2. Calculate f(n).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4479855 months in years?\nAnswer: 0.037332125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 2 g when four letters picked without replacement from {g: 4, a: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -437694 or -437702?\nAnswer: -437694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the second derivative of -27*x**5\/10 + 107*x**4\/4 + x + 108. Find the third derivative of y(c) wrt c.\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -420, -1777, -4076, -7323, -11524, -16685, -22812, -29911?\n\"Answer: -q**3 - 465*q**2 + 45*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 20 = 2*b, -3*b - 3*x - 12 = -2*b. Suppose b = 3*j - 2*f - 6 - 13, -34 = -3*j + 5*f. Let l(r) = -r + 6. Determine l(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**3 + 37*c**2 - 11*c - 407. Let t be h(-37). Solve t = 3*x - 6, 5*v - 4*v - 5*x + 12 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 714698, 714685, 714672, 714659, 714646?\nAnswer: 714633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k + 1. Let o(g) = -6*g + 5. Suppose 6*m = -217 + 193. Calculate m*n(i) + o(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -2*l - 1, 2*l + 1 = 5*z - 6. Differentiate -z - u**2 + 2 - 3*u**2 with respect to u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = v. Let j be 4 + -3 + 29 + v. Suppose j = t + 4*t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**2 - 8*l - 7. Let x(a) be the second derivative of -a**4\/6 - a**3\/6 - a. Let v be x(-2). Let m be g(v). Solve -m = 2*i - 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17839482473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(16)*-1)\/(sqrt(2)*-4*-5).\nAnswer: -sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 4*s - 88. Let v be (-4)\/(16\/(-380)) - 1. Suppose 2*c = 14 + v. What is the greatest common factor of c and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -26*c**2 - c. Let j be q(-1). Let d be 5\/(j\/(-8))*5. Suppose -4*i + d + 16 = 0. Which is smaller: i or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1875014kg to milligrams.\nAnswer: 187501.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-240)\/(-1200) - 8\/(-10). Let f = 2 + -4. Sort -1, f, x, 5.\nAnswer: f, -1, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -59645 divided by 4.\nAnswer: -59645\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -36\/13 - -134\/39. Which is the smallest value?  (a) -1  (b) 0.3  (c) w  (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -2*j + 3. Let m = -379 - -376. Determine i(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/((-3)\/9*3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, -4, 8331, -2 in ascending order.\nAnswer: -18, -4, -2, 8331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/(-10) + (-296)\/40. Let d be (-9)\/(-6)*j\/(-6). Suppose 0 = -d*w - 1 + 7. Solve -2*f + w*f + 1 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h - 2*h + h)*(-2 + 0 + 4)*(3*h + 2*h - 3*h).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 25088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (((sqrt(14) - sqrt(504))*2)\/sqrt(2))**2.\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a = 0, -5*b + 347*a - 10 = 345*a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6408 and 108.\nAnswer: 19224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 211737300 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 325499 divided by 697?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7345\/124 - 47\/31. Let w = 61 + g. Is 7 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -47 or 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*a - 2*a + 1 - 4*a)*(2*a**2 + 3*a - 3*a) - 5*a**3 + 0*a**3 + 4*a**3 + (-2*a**2 - 2*a**2 + 5*a**2)*(-2*a + 0*a + 0*a) + 2*a + a**3 - 2*a.\nAnswer: -4*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-60)*(-325)\/(-260) + (15 - (-20970)\/(-160))\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 + -6a27?\nAnswer: -6a25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 + -3.68. Let j = t - -0.57. Let b = -5 - -4. Which is bigger: j or b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 941 + 9*l**2 - 944 + 12*l**2 to the form q*l**2 + f + h*l and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 49 + -44. Suppose -4*h - 3 = -b*h. What is the third derivative of -h*s**2 + 25*s**4 + 10*s**2 - 16*s**4 wrt s?\nAnswer: 216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 444 a factor of 7650564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q + 10 + 8 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2038973407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-666)\/1110*(-10)\/(-204)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1*(-1)\/4*(-28842)\/33. Let x = -221 + g. Put 2\/11, 0.4, x in ascending order.\nAnswer: x, 2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8, -4, -32, -82, -160?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*l + 4*l + 2*s = -28, -46*l - 4*s + 0*s + 1 = -45*l - 13 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -121*s + 101*s - 20 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(19)*6 - sqrt(19) - sqrt(19)*-1*4)**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -u**2 - 260*u + 21*u**2 + 262*u.\nAnswer: 20*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -4*k + 2 - 18, -2*k = -4*z + 20. Suppose -z*m + m + 6 = -o, m = 0. Let x(v) = v**2 + 5*v - 4. What is the units digit of x(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-135)\/126)\/((-9)\/(-7)))\/(4\/(-8*18)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -158, -161, -170, -191, -230, -293, -386, -515?\n\"Answer: -i**3 + 3*i**2 - 5*i - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 38\/((-2)\/(-4)*-1). Let t = -40 - n. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/1*((-247)\/361)\/13?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4417974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-6241158)\/632)\/(-513))\/((-3)\/((-9)\/(-3)))?\nAnswer: -77\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -3, 6, 7169, 3, 12 in decreasing order.\nAnswer: 7169, 12, 6, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -i - 8. Solve -5 = i*r - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -202345\/895692 - 3\/10663. Let s = 3\/28 - p. Let k = -13 - -13.4. Which is the third biggest value?  (a) k  (b) -2  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4087803 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8508 = 5*q + f, f = 4*q - 3*f + 6792. Let x = q + 3953. Suppose -3*t - x = -7*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 550*s**2 + 26*s - 128. Let c be p(8). Suppose 9*z + 47*z - c = 0. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - ((-2 - 1) + -39 + 36).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 4*w + 0*w - 24 = 0, -4*w + 8 = 0. Suppose -3*i = -6, 0 = -4*l - 0*l - 5*i + 42. Calculate the greatest common factor of r and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (36\/((-504)\/(-28)))\/((-3)\/(-18)*3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 + -1e5f9f?\nAnswer: -1e5fa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add 803460208182 and 0.33.\nAnswer: 803460208182.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -32\/15 and -139\/1661940.\nAnswer: 1661940","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Put together -25115012 and -8.37858.\nAnswer: -25115020.37858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j*j**0)**(-6\/13)\/(j\/j**(-3)*j**2) assuming j is positive.\nAnswer: j**(-90\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.4  (b) -0.2  (c) 2\/13  (d) -86\/315  (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19270 is divided by 13463.\nAnswer: 5807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - 8) + (13 - 2 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 10\/19, 5, 2, -0.3, -105, -0.067?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1714\/175 - -252\/25. What is the nearest to l in 0.5, -0.7, 8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d + 3. Let q be t(0). Let n = q + -4. Calculate the lowest common multiple of n\/(1 + (-11)\/10) and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 293369843*g**3 + 11296*g + 3911.\nAnswer: 1760219058*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 180 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m + w - 25, 0 = -0*m - 3*m + 3*w + 15. Suppose -5*v + 12 = -2*v - 3*b, m*b + 27 = -2*v. What is the remainder when 0 - -31 - 1\/v is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 2*r - 20. Determine u(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 5*w = 885, 4 = -652*w + 650*w. Is 873 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*u**4 + 0 + 0 + (-2*u**3 + 2*u**3 + u**3)*(4*u - 5*u + 0*u) + (-2*u + 4*u + 0*u)*(7049*u - 7049*u - 66*u**3).\nAnswer: -135*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.282 times 5250\nAnswer: -1480.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -41.2 and 234.6.\nAnswer: -9665.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 602523 (base 7) in base 3?\nAnswer: 12011122000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/2*c**3 - 1\/6*c + 1\/6*c**4 + 0 + 1\/2*c**2.\nAnswer: c*(c - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*q**2 + q**2 + 4*q**2)*(2 - q - 2) + 24*q**3 - 65*q**3 + 6*q**3 + 3*q + q**3 - 3*q in the form l*q**3 + k*q**2 + z + h*q and give l.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 + 0 = 5*s, -3*a - 4*s = -20. Suppose -2*q - 3*p = -84, 2*q + a*p = -0*q + 84. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -19*m + 26. Let u(s) = -18*s + 22. Let n(c) = 6*i(c) - 7*u(c). Calculate n(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the third derivative of -7*a**4\/4 - 13*a**3\/6 - 15*a**2. What is the derivative of s(r) wrt r?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -558376 at least -1116749\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (13\/((-468)\/45))\/(50\/25 - (-2644)\/(-1312))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 24\/(-9)*(-6)\/4. Let q be -2*-2*53\/b. Suppose x + 2*a - 32 = -3*a, 0 = 4*x + 5*a - q. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 11693, 11730, 11767?\n\"Answer: 37*i + 11656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (p - 5*p + p)*(4 - 3 + 1)*(-p + 3*p + p) in the form i + b*p**2 + v*p and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.697167 millilitres to litres.\nAnswer: 0.007697167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 71 - 102. Let i = 50 + a. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2523292 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42714*v - 42695*v = 551 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of d*t**2*v**2 + 8*d*t*v + d*t + 30*t**2*v**2 + 317*t**2*v - 3*t*v**2 - 21*t*v wrt t.\nAnswer: 2*d*v**2 + 60*v**2 + 634*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2681333ug in nanograms?\nAnswer: 268.1333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -44*o + 44*o + 108*o**2 - 10*o as u*o + s + i*o**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 5) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 171 - 57184?\nAnswer: -57013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -215 + 503. Let v = g + -287.9999737. Round v to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58584499*a + 13104 = -58584387*a for a.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-12)\/1 - (-848)\/106. Sort -6, i, -8, -3.\nAnswer: -8, -6, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 292 + -287. Let q(r) be the first derivative of 0*r + r**3 - 5\/2*r**2 - w. Find the second derivative of q(u) wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the third derivative of -29*z**4\/12 - 13*z**3\/6 + 47*z**2. What is the units digit of u(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -170.554 to the nearest integer.\nAnswer: -171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/21 or -53\/7?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1829 divided by 5?\nAnswer: -1829\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7095398 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -40*a. Let f(v) = -v**3 - 23*v**2 - 61*v - 15. Let j be f(-20). Let k(d) = j*d**2 + 3*d - 3*d - 3*d**2. Give k(r(t)).\nAnswer: 3200*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -126 = -6*l - 48. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 = 3*g - 5*k - 0, 0 = -5*g + 5*k + 55. Let t = 0.3 - -0.7. Which is the closest to g?  (a) -0.4  (b) t  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hxxbehxbvhhhbehbb. What is prob of sequence ee?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 - -18)\/((-3)\/(-12)). Let n = 111 - c. Let y = -2 - -17. Calculate the remainder when n is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*l - 3*c = 12*l, 10 = -2*l - 4*c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 305735 to the power of 1\/2, to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 12081119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 4*j + 61. Let f be x(-14). Solve 2*p - 11 = i + f*p, -3 = -3*i + 3*p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5398605720?\nAnswer: 2, 3, 5, 281, 17789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 60443520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 161, 57, -45, -145, -243?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**3 + 24*v**2 - 27*v + 95. Give i(23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -4*o. Let x(b) = -14*b. Suppose -12 = 2*m - 18. Let g(l) = 5*l. Let v(h) = m*x(h) + 8*g(h). Determine k(v(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -22577394, -22577393, -22577392?\n\"Answer: r - 22577395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 5*b**2 + 2*b + 1. Let z(j) = 11*j**2 + 5*j + 2. Let m(p) = -13*d(p) + 6*z(p). Suppose 0 = 4*v + 1 + 19. What is m(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 122.962  (b) 48  (c) 3  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 169.29 + 2.71. Let w = 171.99853 - z. Round w to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 238141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 22 - 17. Let y(b) = 3*b - d*b + 0*b. Let l(h) = 10*h. Give y(l(k)).\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**3 + 2*m**2 - 5*m + 1. Let t be h(2). Let n = 16 + t. Suppose 2*f + 1675 = n*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 751 and 2?\nAnswer: 1502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 11144671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49327849.\nAnswer: 1237, 39877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -34869 - -34857.8785. Let n = r - -11.1. What is n rounded to three dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*i**2 + 4*i**2 + 4*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1125 > -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwrqiqwrqqrqgr. Give prob of sequence iww.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*(455\/52 - 10) + 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/3  (b) 0.7  (c) 4.8  (d) -33\/7  (e) -4\/11  (f) 3\/4  (g) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 9330.726 hours?\nAnswer: 559843.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, 1, 3817, 2 in increasing order.\nAnswer: -14, 1, 2, 3817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 3*(1 + 366\/(-315)) - 77\/(-385)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 310 + -138. Solve -q = -6*u - 202 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -31136*a**2 + 39622*a?\nAnswer: -62272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -19*z + 1. What is the remainder when y(-1) is divided by 2420\/3630*45\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2602\/130 + 139\/((-1807)\/260))\/(2\/60)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -23*i**3 - 4*i**2 + 4*i - 4. Suppose 5*r + 25 = 3*o, -4*r + 76 = 27*o - 23*o. Let g(c) = 93*c**3 + 15*c**2 - 15*c + 15. What is o*v(z) + 4*g(z)?\nAnswer: 27*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 26759020993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 5*s - 8. Let t(x) = 4*x - 7. Let v(y) = -3*l(y) + 4*t(y). Let j be v(5). Is 17*(2 - j) - 1 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s + 5, 0*k + 5*s + 17 = -4*k. Let f be (-42)\/(-63)*k\/(-2). Let c(o) = -4 - f + 4. Let t(u) = -u**2 + u - 3. What is 4*c(r) - 2*t(r)?\nAnswer: 2*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 55546193?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3264 or 3063?\nAnswer: 3264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (4560\/32)\/(-95)*48*3\/189?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 5*g - 14560 - 34373 = 0, 146889 = 3*h - 3*g. List the prime factors of h.\nAnswer: 2, 7, 13, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*z - 39*z + 16*z)*(-56*z + 15*z + 7*z + (1 - 4 + 1)*(0 + 0 + 2*z)).\nAnswer: 456*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -12*u**2 - 12*u + 110. Let i(n) = n**2 - 2. Suppose -38*m - 50 = -33*m. Let t(x) = m*i(x) - y(x). What is the derivative of t(o) wrt o?\nAnswer: 4*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*c - 2 + 47*c**2 - 4*c + 18*c.\nAnswer: 47*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9*l**3*t + 1515*l**3 - 19*l**2 - 29*l*t - 339*l + 32*t wrt l.\nAnswer: -54*l*t + 9090*l - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1493809858.\nAnswer: 2, 746904929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 52559 and 468.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mlmu when four letters picked without replacement from {m: 4, u: 2, l: 1, b: 4, y: 5}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**3 - v**2 + 2*v - 36. Let y be p(0). Let m = -28 - y. Solve -x - x - m = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 854*s + 4266. Determine n(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5292224 and 3969168.\nAnswer: 15876672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 100544868 divided by -5914404.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(-4) - (-6)\/(-8). Let r(z) = z**3 + 5*z**2 - 6*z - 5. Let f be r(-6). Let i be f\/(-2) + 6\/(-3). What is the nearest to d in 0.4, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = 16, -23*c - 2*c = 4*f - 3*c + 80. Suppose -3\/5*p**3 - 12\/5 - 1\/5*p**5 + 28\/5*p - 17\/5*p**f + p**4 = 0. What is p?\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 595.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 8 = -0*s. Suppose 2*p - 2 = -y, y - s*p - 6 = -0. Let c = -11 + 13. What is the remainder when y is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n - 2*n - n)*(4*n - 3*n - 4*n) + 0*n - n**2 + 0*n + 2.\nAnswer: 5*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -171*g - 1188 - 1304*g**3 - 1177*g**3 + 169*g - 4*g**2 + 4*g**2 wrt g.\nAnswer: -14886*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8\/73 + 349\/146. Let i = -0.9 + 1. Let j = -0.9 - i. What is the third smallest value in j, 37, c?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66 = -4*z + 403*r - 393*r, -2*z - z = -4*r + 53 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in twenty-five halves of a milligram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 20 + -21.3. Let w = 0.3 + g. Which is the biggest value?  (a) -3  (b) -2\/5  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9903.644kg to grams.\nAnswer: 9903644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 3*t + 4. Suppose 18*g + 10 = 20*g. Suppose 0 = 6*l - g*l - 1. Calculate the remainder when 8 is divided by j(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-3) - (-14)\/(-12). Let d = 0.067 - 1.067. Which is the closest to 0.1?  (a) d  (b) 4  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -106\/5 + 108\/5. What is the closest to 3 in -1, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.4 + 0. Let x = 0 - w. Let f = 5.958 + -3.958. What is the smallest value in -1, f, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 163a (base 15) to base 11\nAnswer: 3656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -48.4 + 47. Sort c, -0.2, -2 in decreasing order.\nAnswer: -0.2, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p and 1 z when four letters picked without replacement from pppppzpp?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 2*q - 6. Suppose -5*h = -4*z - 13, 4*z + 10 = -h + 3*h. Let o be (z + 1)*24\/(-4). Let r(n) = -1 - 1 - 3 + 2*n. Calculate o*r(w) - 5*x(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1055 - -1054.9. Let f = 2\/359 - -343\/2872. Which is the closest to 1\/3?  (a) 2  (b) f  (c) 0.14  (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.5  (b) 2\/2055  (c) -4  (d) 25  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/(-4)*(1 - -1). Suppose 0 = -o*l + 5 + 13. What is the remainder when l is divided by (1*(-2)\/4)\/(102\/(-816))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -999 = 2*j + 2*j + 5*l, 4*l = 5*j + 1259. List the prime factors of 14\/77 - j\/11.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 501625377.\nAnswer: 3, 11, 23, 220301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1996, -2078, -2216, -2410?\nAnswer: -2660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 282220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the third derivative of -m**4\/6 + m**3\/6 + 4*m**2. Let z(v) = v. Let l = -3 - -1. What is l*z(f) - q(f)?\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + i - 12 = 0, 13*q - 27*i + 34 = 5*i - 28*i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 3090, 1945, 36, -2637?\n\"Answer: -382*z**2 + z + 3471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1319*i**3*n**3 - 151*i**3 - i**2*n**3 + 6046604*i*n**3 + 2*i wrt i.\nAnswer: 7914*i*n**3 - 906*i - 2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -5*g + a + 12, 0 = 2*g - 2*a - 12. Solve 4*u - g = 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the first derivative of -2*q**3\/3 + 1. Let b(h) be the first derivative of 2*h**2 + 314. Give b(t(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1021, 2233, 3637, 5239, 7045, 9061?\n\"Answer: y**3 + 90*y**2 + 935*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -352*f**5 - 154*f**2 - 4*f**3 + f**3 + 463*f**5 + 3*f**3 wrt f.\nAnswer: 6660*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85 + 32 = -24*k + 187 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -5*u. Let o = 11 + -8. Let m(k) = 2*k**2 + 4*k - 12. Let v be m(-4). Solve -o*h + 4*z + 16 = 0, h = -u*h + v*z + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 373 + 21. Let l(v) = -v**3 + 3*v**2 - v + 13. What is the remainder when l(0) is divided by 2\/(-6) + a\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (96\/(-480))\/((1\/6)\/(-1))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18 and 510.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*3*2\/((-72)\/(-4))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -24 - (-24 + -36 + 93)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -219*i - 75. Let n be c(-1). Solve 28*s - 52*s + n = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1041596?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 8\/6*(-42)\/(-28). Sort a, -27, -2, -4 in decreasing order.\nAnswer: a, -2, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 35\/(-756)*6*2*117\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*m - 568 = -113*m - 68*m. Which is the second biggest value?  (a) -2\/109  (b) m  (c) 2\/9  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 66228 = 9533772. What is r rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -167470200 by -3721560.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -133 + 135. Let v(c) be the third derivative of 2*c**x + 0 + 1\/6*c**3 + 0*c + 1\/24*c**4. What is the first derivative of v(q) wrt q?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1089003 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 31785 - 14360. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*i**3 + 0*i**3 - 2*i**4 - 2*i**3 + 286*i - 2*i**3 + i**2 - 287*i - 1 to the form x*i**3 + z*i**2 + d + b*i + f*i**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (5 - (-2 + 11)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 4, -13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 625 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 760541245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85*d - 5363 = 5857. Solve 50 = 26*q - d for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11373182?\nAnswer: 2, 5686591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 22*d + 22. Let h(t) be the third derivative of t**4\/24 - t**3\/6 - 48*t**2. Let q(w) = -4*h(w) + 2*x(w). Differentiate q(j) with respect to j.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 138735\nAnswer: 13873.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**2. Let s(f) = 3979*f + 2. Give s(m(i)).\nAnswer: 3979*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -3733, -3736, -3741, -3748?\n\"Answer: -o**2 - 3732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*6*3*(-4 + 1*sqrt(396) + (-4*sqrt(396)*1 + sqrt(396) - sqrt(396)) - (-5 + 0 + sqrt(396) + 1)))**2.\nAnswer: 8211456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:05 PM and 7:48 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -38 + 54. Let t(v) = v**2 - 20*v + 21. Let m be t(s). Let k = 78 + m. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 192821 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 3 + 1 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**3 + n**2 + n. Let p(z) = 2*z**3 + 3*z**2 + 3*z + 3. Determine -p(y) + 3*x(y).\nAnswer: y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -68 - (-23 - (44 + -32 - 30))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*20*125\/250?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**2 - 3*i + 4. What is the units digit of k(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 641 minutes after 10:41 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 64  (b) -3.969  (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 738 by 5.\nAnswer: 738\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 537.95 + -508. Let f = 1017 - 987. Let a = x - f. What is a rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 3*v**3 - v**2 + 2*v - 1. Let y be x(1). Suppose 4*o - y = 45. Let f be (-3)\/(-20) - (-3)\/o. Which is greater: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1305 (base 6) to base 9.\nAnswer: -405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 111*n + 8. Let m be d(2). Let y = m - 237. Which is the biggest value?  (a) -3\/7  (b) y  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -54\/1105 and 18\/52037?\nAnswer: 3382405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 44786799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -290 - -8123\/28. Suppose 0 = 3*o - 3 + 6. Is o less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.5, 4, -2\/13, 0.237?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*t + 11*t - 3*t - 2)*(-3 + 3 + 3*t**2) to l*t + v*t**3 + g*t**2 + x and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*b + 54 = 48*b, -71*i = -70*i - 3*b + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the first derivative of d**4\/2 + d**2 + 7*d + 244. Let a(t) = 2*t**3 + 2*t + 8. What is -5*a(o) + 6*p(o)?\nAnswer: 2*o**3 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**2 - 17*s - 72. Give t(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -40*m**2 - 738*m - 391798.\nAnswer: -80*m - 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*i + 11*i**2 + 0*i**3 - 9*i**3 + 7*i**3 to the form x + b*i + h*i**3 + a*i**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - l = 295 + 215, -5*d = -3*l - 1277. Suppose -5*w + d = 63. Calculate the remainder when w is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 2\/5  (b) -0.06  (c) -275\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 27 - 15. Let h = j + 31. Calculate the highest common factor of 215 and h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-27)\/(-36))\/(13\/13)*3*(-12)\/3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/19, -4, 4 in descending order.\nAnswer: 4, -1\/19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 19 and 6289?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1352174 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/10)\/(2*(-4)\/(-80))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1860 - 5092*p + 5017*p - 1860.\nAnswer: -75*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**2. Suppose 5*v - 19 = l, -l - 5 = -v + 2. Let c(r) = -1 - 2 - r + v. What is c(u(q))?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*b - 4411 = 22*b. List the prime factors of b.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 99 and 27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15\/12498167 or 1?\nAnswer: -15\/12498167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-8)\/7)\/(6\/(-21) + 0). Suppose -4 = -h*w + 8. Solve u + w*b + 1 - 7 = 0, -2*b + 4 = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -7 + (-7)\/((-7)\/4). Let z(p) = -p**3 - 6*p**2 - 2*p + 3. Calculate z(n).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1.7, -0.2, 2, -184.5, 0.4, -3\/4?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 54 and 18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**3 - 5*j**2 + 4*j + 3. Let k be r(-6). Let b be (-5)\/k*-3*2. Let q(c) = -2*c**2 + c + 0*c**b + 0*c**2. Calculate q(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.4, 4, -40, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3 - 65\/(-15))*6\/4. Let z = 0 - 0. Solve -x + o*x + 5 = z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 4591859, 4591835, 4591811?\n\"Answer: -24*m + 4591883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.31372 rounded to three dps?\nAnswer: 0.314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 68, 239, 512, 881, 1340, 1883, 2504, 3197?\n\"Answer: -s**3 + 57*s**2 + 7*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -16160, -32300, -48440?\n\"Answer: -16140*l - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*sqrt(190) + sqrt(190))*-2)\/(sqrt(40)\/(-5*sqrt(4))).\nAnswer: 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19 + -12. Let v(l) be the third derivative of l**6\/120 - 2*l**5\/15 + l**4\/3 - l**3\/3 + l**2. Let w be v(g). Sort -3, w, 4 in descending order.\nAnswer: w, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -147 + 151. Solve 5*j - d = 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6554 + -115?\nAnswer: 6436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 320 = 3*r - 232. Suppose 3*b + 68 = 14. Calculate the remainder when 6\/(-27) - r\/b is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -48*p**2 + 15*p - 46 - 13*p + 0*p**3 + 42 + p**3 as m*p**2 + l*p**3 + j*p + r and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 193*n + 3774. What is the remainder when 395 is divided by g(-19)?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 0*m - 11 = r, -5*m + 3*r = -3. Find the third derivative of 8*d - 7*d**2 + m*d**2 + 2*d**4 - 6*d - 4*d**2 - 36*d**3 wrt d.\nAnswer: 48*d - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 94.08401m in micrometers?\nAnswer: 94084010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 274*q + 264*q - 564*q.\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/(-10) + (-26)\/(-10). Solve 0 = -3*y - 4*n + t, 0 = -y - 5*n + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 + 75 = 25*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -30218909*q. Let o(u) = -u**2. What is v(o(w))?\nAnswer: 30218909*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/3662 and 23\/2932.\nAnswer: 5368492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -62.1461 - -5.3401. Let x = -57 - z. Round x to 2 dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/440340 and -56\/12351?\nAnswer: 10127820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 666700148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1266*-49.\nAnswer: -62034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 divided by 1796?\nAnswer: -21\/1796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 133 - 115.1. Let w = x + -17.899999797. What is w rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 88 + -71. Let v = 13 - m. Let b(d) = -3*d**3 + 3*d**2 - 4*d - 3. Is b(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 145 + 2. Calculate the highest common divisor of t and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17682.56191 rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 12915.6006 hours in weeks?\nAnswer: 76.878575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79 + 83 = 5874*h - 5859*h - 678 for h.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24 and 30372732?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 46*t**4 - 31*t**5 - 46*t**4 + (-4 + 3 - 1)*(3*t**3 + 2*t**5 - 3*t**3) + 0*t**5 - 2*t**5 + 3*t**5.\nAnswer: -34*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -120*d**3 - 8*d**2 - 6*d + 11. Let t(p) = 120*p**3 + 9*p**2 + 7*p - 13. Determine -7*r(i) - 6*t(i).\nAnswer: 120*i**3 + 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-230)\/48 + (-714)\/204*3\/(-42) and -91\/540.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 k, and 1 e when three letters picked without replacement from {b: 2, v: 1, r: 3, k: 1, e: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (11\/(110\/8))\/(200\/(-750))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - ((2 - 4) + 2 + -3) - 19.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1611610 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 18685626 and 15.2?\nAnswer: 18685610.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2476580266, 2476580264, 2476580262, 2476580260?\nAnswer: 2476580258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -18 + 25. Suppose 0 = -37*g + 51*g + 4214. Let a = g - -306. Let b(v) = v - 1. Let r(x) = -x + 2. What is a*r(z) + j*b(z)?\nAnswer: 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2 - 2)\/(2\/(-63)). Suppose 3*k - 13 - 41 = 0. Calculate the greatest common factor of k and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}